TSTP Solution File: HWV051_3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV051_3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n017.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 02:15:29 EDT 2022
% Result : Unsatisfiable 47.11s 29.59s
% Output : Proof 53.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : HWV051_3 : TPTP v8.1.0. Released v5.3.0.
% 0.08/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 31 22:38:52 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.15/0.36 Usage: tptp [options] [-file:]file
% 0.15/0.36 -h, -? prints this message.
% 0.15/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.15/0.36 -m, -model generate model.
% 0.15/0.36 -p, -proof generate proof.
% 0.15/0.36 -c, -core generate unsat core of named formulas.
% 0.15/0.36 -st, -statistics display statistics.
% 0.15/0.36 -t:timeout set timeout (in second).
% 0.15/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.15/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.15/0.36 -<param>:<value> configuration parameter and value.
% 0.15/0.36 -o:<output-file> file to place output in.
% 47.11/29.59 % SZS status Unsatisfiable
% 47.11/29.59 % SZS output start Proof
% 47.11/29.59 tff(v18_type, type, (
% 47.11/29.59 v18: state_type > $o)).
% 47.11/29.59 tff(constB24_type, type, (
% 47.11/29.59 constB24: state_type)).
% 47.11/29.59 tff(v19_type, type, (
% 47.11/29.59 v19: state_type > $o)).
% 47.11/29.59 tff(v13_type, type, (
% 47.11/29.59 v13: state_type > $o)).
% 47.11/29.59 tff(v9_type, type, (
% 47.11/29.59 v9: state_type > $o)).
% 47.11/29.59 tff(constB23_type, type, (
% 47.11/29.59 constB23: state_type)).
% 47.11/29.59 tff(v141_type, type, (
% 47.11/29.59 v141: state_type > $o)).
% 47.11/29.59 tff(v140_type, type, (
% 47.11/29.59 v140: state_type > $o)).
% 47.11/29.59 tff(v163_type, type, (
% 47.11/29.59 v163: state_type > $o)).
% 47.11/29.59 tff(v160_type, type, (
% 47.11/29.59 v160: state_type > $o)).
% 47.11/29.59 tff(v162_type, type, (
% 47.11/29.59 v162: state_type > $o)).
% 47.11/29.59 tff(constB25_type, type, (
% 47.11/29.59 constB25: state_type)).
% 47.11/29.59 tff(sK0_VarCurr_type, type, (
% 47.11/29.59 sK0_VarCurr: state_type)).
% 47.11/29.59 tff(constB103_type, type, (
% 47.11/29.59 constB103: state_type)).
% 47.11/29.59 tff(v172_type, type, (
% 47.11/29.59 v172: state_type > $o)).
% 47.11/29.59 tff(v170_type, type, (
% 47.11/29.59 v170: state_type > $o)).
% 47.11/29.59 tff(v169_type, type, (
% 47.11/29.59 v169: state_type > $o)).
% 47.11/29.59 tff(v168_type, type, (
% 47.11/29.59 v168: state_type > $o)).
% 47.11/29.59 tff(v84_type, type, (
% 47.11/29.59 v84: ( state_type * bitindex_type ) > $o)).
% 47.11/29.59 tff(bitIndex2_type, type, (
% 47.11/29.59 bitIndex2: bitindex_type)).
% 47.11/29.59 tff(constB102_type, type, (
% 47.11/29.59 constB102: state_type)).
% 47.11/29.59 tff(v94_type, type, (
% 47.11/29.59 v94: state_type > $o)).
% 47.11/29.59 tff(v104_type, type, (
% 47.11/29.59 v104: state_type > $o)).
% 47.11/29.59 tff(v102_type, type, (
% 47.11/29.59 v102: state_type > $o)).
% 47.11/29.59 tff(constB101_type, type, (
% 47.11/29.59 constB101: state_type)).
% 47.11/29.59 tff(v106_type, type, (
% 47.11/29.59 v106: state_type > $o)).
% 47.11/29.59 tff(v107_type, type, (
% 47.11/29.59 v107: state_type > $o)).
% 47.11/29.59 tff(v108_type, type, (
% 47.11/29.59 v108: state_type > $o)).
% 47.11/29.59 tff(v109_type, type, (
% 47.11/29.59 v109: state_type > $o)).
% 47.11/29.59 tff(v110_type, type, (
% 47.11/29.59 v110: state_type > $o)).
% 47.11/29.59 tff(v116_type, type, (
% 47.11/29.59 v116: state_type > $o)).
% 47.11/29.59 tff(constB100_type, type, (
% 47.11/29.59 constB100: state_type)).
% 47.11/29.59 tff(v123_type, type, (
% 47.11/29.59 v123: ( state_type * bitindex_type ) > $o)).
% 47.11/29.59 tff(v121_type, type, (
% 47.11/29.59 v121: ( state_type * bitindex_type ) > $o)).
% 47.11/29.59 tff(constB99_type, type, (
% 47.11/29.59 constB99: state_type)).
% 47.11/29.59 tff(v124_type, type, (
% 47.11/29.59 v124: ( state_type * bitindex_type ) > $o)).
% 47.11/29.59 tff(v115_type, type, (
% 47.11/29.59 v115: state_type > $o)).
% 47.11/29.59 tff(constB98_type, type, (
% 47.11/29.59 constB98: state_type)).
% 47.11/29.59 tff(constB97_type, type, (
% 47.11/29.59 constB97: state_type)).
% 47.11/29.59 tff(v111_type, type, (
% 47.11/29.59 v111: state_type > $o)).
% 47.11/29.59 tff(v112_type, type, (
% 47.11/29.59 v112: state_type > $o)).
% 47.11/29.59 tff(v145_type, type, (
% 47.11/29.59 v145: state_type > $o)).
% 47.11/29.59 tff(constB96_type, type, (
% 47.11/29.59 constB96: state_type)).
% 47.11/29.59 tff(constB95_type, type, (
% 47.11/29.59 constB95: state_type)).
% 47.11/29.59 tff(v119_type, type, (
% 47.11/29.59 v119: state_type > $o)).
% 47.11/29.59 tff(constB94_type, type, (
% 47.11/29.59 constB94: state_type)).
% 47.11/29.59 tff(constB93_type, type, (
% 47.11/29.59 constB93: state_type)).
% 47.11/29.59 tff(constB92_type, type, (
% 47.11/29.59 constB92: state_type)).
% 47.11/29.59 tff(constB91_type, type, (
% 47.11/29.59 constB91: state_type)).
% 47.11/29.59 tff(constB90_type, type, (
% 47.11/29.59 constB90: state_type)).
% 47.11/29.59 tff(constB89_type, type, (
% 47.11/29.59 constB89: state_type)).
% 47.11/29.59 tff(constB88_type, type, (
% 47.11/29.59 constB88: state_type)).
% 47.11/29.59 tff(constB87_type, type, (
% 47.11/29.59 constB87: state_type)).
% 47.11/29.59 tff(constB86_type, type, (
% 47.11/29.59 constB86: state_type)).
% 47.11/29.59 tff(constB85_type, type, (
% 47.11/29.59 constB85: state_type)).
% 47.11/29.59 tff(constB84_type, type, (
% 47.11/29.59 constB84: state_type)).
% 47.11/29.59 tff(constB83_type, type, (
% 47.11/29.59 constB83: state_type)).
% 47.11/29.59 tff(constB82_type, type, (
% 47.11/29.59 constB82: state_type)).
% 47.11/29.59 tff(constB81_type, type, (
% 47.11/29.59 constB81: state_type)).
% 47.11/29.59 tff(constB80_type, type, (
% 47.11/29.59 constB80: state_type)).
% 47.11/29.59 tff(constB79_type, type, (
% 47.11/29.59 constB79: state_type)).
% 47.11/29.59 tff(constB78_type, type, (
% 47.11/29.59 constB78: state_type)).
% 47.11/29.59 tff(constB77_type, type, (
% 47.11/29.59 constB77: state_type)).
% 47.11/29.59 tff(bitIndex1_type, type, (
% 47.11/29.59 bitIndex1: bitindex_type)).
% 47.11/29.59 tff(constB76_type, type, (
% 47.11/29.59 constB76: state_type)).
% 47.11/29.59 tff(constB75_type, type, (
% 47.11/29.59 constB75: state_type)).
% 47.11/29.59 tff(constB74_type, type, (
% 47.11/29.59 constB74: state_type)).
% 47.11/29.59 tff(constB73_type, type, (
% 47.11/29.59 constB73: state_type)).
% 47.11/29.59 tff(constB72_type, type, (
% 47.11/29.59 constB72: state_type)).
% 47.11/29.59 tff(constB71_type, type, (
% 47.11/29.59 constB71: state_type)).
% 47.11/29.59 tff(constB70_type, type, (
% 47.11/29.59 constB70: state_type)).
% 47.11/29.59 tff(constB69_type, type, (
% 47.11/29.59 constB69: state_type)).
% 47.11/29.59 tff(constB68_type, type, (
% 47.11/29.59 constB68: state_type)).
% 47.11/29.59 tff(constB67_type, type, (
% 47.11/29.59 constB67: state_type)).
% 47.11/29.59 tff(constB66_type, type, (
% 47.11/29.59 constB66: state_type)).
% 47.11/29.59 tff(constB65_type, type, (
% 47.11/29.59 constB65: state_type)).
% 47.11/29.59 tff(constB64_type, type, (
% 47.11/29.59 constB64: state_type)).
% 47.11/29.59 tff(constB63_type, type, (
% 47.11/29.59 constB63: state_type)).
% 47.11/29.59 tff(constB62_type, type, (
% 47.11/29.59 constB62: state_type)).
% 47.11/29.59 tff(constB61_type, type, (
% 47.11/29.59 constB61: state_type)).
% 47.11/29.59 tff(constB60_type, type, (
% 47.11/29.59 constB60: state_type)).
% 47.11/29.59 tff(constB59_type, type, (
% 47.11/29.59 constB59: state_type)).
% 47.11/29.59 tff(constB58_type, type, (
% 47.11/29.59 constB58: state_type)).
% 47.11/29.59 tff(constB57_type, type, (
% 47.11/29.59 constB57: state_type)).
% 47.11/29.59 tff(constB56_type, type, (
% 47.11/29.59 constB56: state_type)).
% 47.11/29.59 tff(constB55_type, type, (
% 47.11/29.59 constB55: state_type)).
% 47.11/29.59 tff(constB54_type, type, (
% 47.11/29.59 constB54: state_type)).
% 47.11/29.59 tff(constB53_type, type, (
% 47.11/29.59 constB53: state_type)).
% 47.11/29.59 tff(constB52_type, type, (
% 47.11/29.59 constB52: state_type)).
% 47.11/29.59 tff(constB51_type, type, (
% 47.11/29.59 constB51: state_type)).
% 47.11/29.59 tff(constB50_type, type, (
% 47.11/29.59 constB50: state_type)).
% 47.11/29.59 tff(bitIndex0_type, type, (
% 47.11/29.59 bitIndex0: bitindex_type)).
% 47.11/29.59 tff(constB49_type, type, (
% 47.11/29.59 constB49: state_type)).
% 47.11/29.59 tff(constB48_type, type, (
% 47.11/29.59 constB48: state_type)).
% 47.11/29.59 tff(constB47_type, type, (
% 47.11/29.59 constB47: state_type)).
% 47.11/29.59 tff(constB46_type, type, (
% 47.11/29.59 constB46: state_type)).
% 47.11/29.59 tff(constB45_type, type, (
% 47.11/29.59 constB45: state_type)).
% 47.11/29.59 tff(constB44_type, type, (
% 47.11/29.59 constB44: state_type)).
% 47.11/29.59 tff(constB43_type, type, (
% 47.11/29.59 constB43: state_type)).
% 47.11/29.59 tff(constB42_type, type, (
% 47.11/29.59 constB42: state_type)).
% 47.11/29.59 tff(constB41_type, type, (
% 47.11/29.59 constB41: state_type)).
% 47.11/29.59 tff(constB40_type, type, (
% 47.11/29.59 constB40: state_type)).
% 47.11/29.59 tff(constB39_type, type, (
% 47.11/29.59 constB39: state_type)).
% 47.11/29.59 tff(v26_type, type, (
% 47.11/29.59 v26: state_type > $o)).
% 47.11/29.59 tff(constB38_type, type, (
% 47.11/29.59 constB38: state_type)).
% 47.11/29.59 tff(constB37_type, type, (
% 47.11/29.59 constB37: state_type)).
% 47.11/29.59 tff(constB36_type, type, (
% 47.11/29.59 constB36: state_type)).
% 47.11/29.59 tff(constB35_type, type, (
% 47.11/29.59 constB35: state_type)).
% 47.11/29.59 tff(constB34_type, type, (
% 47.11/29.59 constB34: state_type)).
% 47.11/29.59 tff(constB33_type, type, (
% 47.11/29.59 constB33: state_type)).
% 47.11/29.59 tff(constB32_type, type, (
% 47.11/29.59 constB32: state_type)).
% 47.11/29.59 tff(constB31_type, type, (
% 47.11/29.59 constB31: state_type)).
% 47.11/29.59 tff(constB30_type, type, (
% 47.11/29.59 constB30: state_type)).
% 47.11/29.59 tff(constB29_type, type, (
% 47.11/29.59 constB29: state_type)).
% 47.11/29.59 tff(constB28_type, type, (
% 47.11/29.59 constB28: state_type)).
% 47.11/29.59 tff(constB27_type, type, (
% 47.11/29.59 constB27: state_type)).
% 47.11/29.59 tff(constB26_type, type, (
% 47.11/29.59 constB26: state_type)).
% 47.11/29.59 tff(constB22_type, type, (
% 47.11/29.59 constB22: state_type)).
% 47.11/29.59 tff(constB21_type, type, (
% 47.11/29.59 constB21: state_type)).
% 47.11/29.59 tff(constB20_type, type, (
% 47.11/29.59 constB20: state_type)).
% 47.11/29.59 tff(constB19_type, type, (
% 47.11/29.59 constB19: state_type)).
% 47.11/29.59 tff(constB18_type, type, (
% 47.11/29.59 constB18: state_type)).
% 47.11/29.59 tff(constB17_type, type, (
% 47.11/29.59 constB17: state_type)).
% 47.11/29.59 tff(constB16_type, type, (
% 47.11/29.59 constB16: state_type)).
% 47.11/29.59 tff(constB15_type, type, (
% 47.11/29.59 constB15: state_type)).
% 47.11/29.59 tff(constB14_type, type, (
% 47.11/29.59 constB14: state_type)).
% 47.11/29.59 tff(constB13_type, type, (
% 47.11/29.59 constB13: state_type)).
% 47.11/29.59 tff(constB12_type, type, (
% 47.11/29.59 constB12: state_type)).
% 47.11/29.59 tff(constB11_type, type, (
% 47.11/29.59 constB11: state_type)).
% 47.11/29.59 tff(constB10_type, type, (
% 47.11/29.59 constB10: state_type)).
% 47.11/29.59 tff(constB9_type, type, (
% 47.11/29.59 constB9: state_type)).
% 47.11/29.59 tff(constB8_type, type, (
% 47.11/29.59 constB8: state_type)).
% 47.11/29.59 tff(constB7_type, type, (
% 47.11/29.59 constB7: state_type)).
% 47.11/29.59 tff(constB6_type, type, (
% 47.11/29.59 constB6: state_type)).
% 47.11/29.59 tff(constB5_type, type, (
% 47.11/29.59 constB5: state_type)).
% 47.11/29.59 tff(constB4_type, type, (
% 47.11/29.59 constB4: state_type)).
% 47.11/29.59 tff(constB3_type, type, (
% 47.11/29.59 constB3: state_type)).
% 47.11/29.59 tff(constB2_type, type, (
% 47.11/29.59 constB2: state_type)).
% 47.11/29.59 tff(constB1_type, type, (
% 47.11/29.59 constB1: state_type)).
% 47.11/29.59 tff(v113_type, type, (
% 47.11/29.59 v113: state_type > $o)).
% 47.11/29.59 tff(v95_type, type, (
% 47.11/29.59 v95: state_type > $o)).
% 47.11/29.59 tff(v1_type, type, (
% 47.11/29.59 v1: state_type > $o)).
% 47.11/29.59 tff(nextState_type, type, (
% 47.11/29.59 nextState: ( state_type * state_type ) > $o)).
% 47.11/29.59 tff(constB0_type, type, (
% 47.11/29.59 constB0: state_type)).
% 47.11/29.59 tff(v96_type, type, (
% 47.11/29.59 v96: state_type > $o)).
% 47.11/29.59 tff(v98_type, type, (
% 47.11/29.59 v98: state_type > $o)).
% 47.11/29.59 tff(v118_type, type, (
% 47.11/29.59 v118: state_type > $o)).
% 47.11/29.59 tff(v22_type, type, (
% 47.11/29.59 v22: state_type > $o)).
% 47.11/29.59 tff(v164_type, type, (
% 47.11/29.59 v164: state_type > $o)).
% 47.11/29.59 tff(v152_type, type, (
% 47.11/29.59 v152: state_type > $o)).
% 47.11/29.59 tff(v150_type, type, (
% 47.11/29.59 v150: state_type > $o)).
% 47.11/29.59 tff(v153_type, type, (
% 47.11/29.59 v153: state_type > $o)).
% 47.11/29.59 tff(v154_type, type, (
% 47.11/29.59 v154: state_type > $o)).
% 47.11/29.59 tff(v137_type, type, (
% 47.11/29.59 v137: state_type > $o)).
% 47.11/29.59 tff(v135_type, type, (
% 47.11/29.59 v135: state_type > $o)).
% 47.11/29.59 tff(v138_type, type, (
% 47.11/29.59 v138: state_type > $o)).
% 47.11/29.59 tff(v142_type, type, (
% 47.11/29.59 v142: state_type > $o)).
% 47.11/29.59 tff(v144_type, type, (
% 47.11/29.59 v144: state_type > $o)).
% 47.11/29.59 tff(v155_type, type, (
% 47.11/29.59 v155: state_type > $o)).
% 47.11/29.59 tff(constB163_type, type, (
% 47.11/29.59 constB163: state_type)).
% 47.11/29.59 tff(constB162_type, type, (
% 47.11/29.59 constB162: state_type)).
% 47.11/29.59 tff(constB161_type, type, (
% 47.11/29.59 constB161: state_type)).
% 47.11/29.59 tff(constB160_type, type, (
% 47.11/29.59 constB160: state_type)).
% 47.11/29.59 tff(constB159_type, type, (
% 47.11/29.59 constB159: state_type)).
% 47.11/29.59 tff(constB158_type, type, (
% 47.11/29.59 constB158: state_type)).
% 47.11/29.59 tff(constB157_type, type, (
% 47.11/29.59 constB157: state_type)).
% 47.11/29.59 tff(constB156_type, type, (
% 47.11/29.59 constB156: state_type)).
% 47.11/29.59 tff(constB155_type, type, (
% 47.11/29.59 constB155: state_type)).
% 47.11/29.59 tff(constB154_type, type, (
% 47.11/29.59 constB154: state_type)).
% 47.11/29.59 tff(constB153_type, type, (
% 47.11/29.59 constB153: state_type)).
% 47.11/29.59 tff(constB152_type, type, (
% 47.11/29.59 constB152: state_type)).
% 47.11/29.59 tff(constB151_type, type, (
% 47.11/29.59 constB151: state_type)).
% 47.11/29.59 tff(constB150_type, type, (
% 47.11/29.59 constB150: state_type)).
% 47.11/29.59 tff(constB149_type, type, (
% 47.11/29.59 constB149: state_type)).
% 47.11/29.59 tff(constB148_type, type, (
% 47.11/29.59 constB148: state_type)).
% 47.11/29.59 tff(constB147_type, type, (
% 47.11/29.59 constB147: state_type)).
% 47.11/29.59 tff(constB146_type, type, (
% 47.11/29.59 constB146: state_type)).
% 47.11/29.59 tff(constB145_type, type, (
% 47.11/29.59 constB145: state_type)).
% 47.11/29.59 tff(constB144_type, type, (
% 47.11/29.59 constB144: state_type)).
% 47.11/29.59 tff(constB143_type, type, (
% 47.11/29.59 constB143: state_type)).
% 47.11/29.59 tff(constB142_type, type, (
% 47.11/29.59 constB142: state_type)).
% 47.11/29.59 tff(constB141_type, type, (
% 47.11/29.59 constB141: state_type)).
% 47.11/29.59 tff(constB139_type, type, (
% 47.11/29.59 constB139: state_type)).
% 47.11/29.59 tff(constB138_type, type, (
% 47.11/29.59 constB138: state_type)).
% 47.11/29.59 tff(constB137_type, type, (
% 47.11/29.59 constB137: state_type)).
% 47.11/29.59 tff(constB136_type, type, (
% 47.11/29.59 constB136: state_type)).
% 47.11/29.59 tff(constB135_type, type, (
% 47.11/29.59 constB135: state_type)).
% 47.11/29.59 tff(constB134_type, type, (
% 47.11/29.59 constB134: state_type)).
% 47.11/29.59 tff(constB133_type, type, (
% 47.11/29.59 constB133: state_type)).
% 47.11/29.59 tff(constB132_type, type, (
% 47.11/29.59 constB132: state_type)).
% 47.11/29.59 tff(constB131_type, type, (
% 47.11/29.59 constB131: state_type)).
% 47.11/29.59 tff(constB130_type, type, (
% 47.11/29.59 constB130: state_type)).
% 47.11/29.59 tff(constB129_type, type, (
% 47.11/29.59 constB129: state_type)).
% 47.11/29.59 tff(constB128_type, type, (
% 47.11/29.59 constB128: state_type)).
% 47.11/29.59 tff(constB127_type, type, (
% 47.11/29.59 constB127: state_type)).
% 47.11/29.59 tff(constB126_type, type, (
% 47.11/29.59 constB126: state_type)).
% 47.11/29.59 tff(constB125_type, type, (
% 47.11/29.59 constB125: state_type)).
% 47.11/29.59 tff(constB124_type, type, (
% 47.11/29.59 constB124: state_type)).
% 47.11/29.59 tff(constB123_type, type, (
% 47.11/29.59 constB123: state_type)).
% 47.11/29.59 tff(constB122_type, type, (
% 47.11/29.59 constB122: state_type)).
% 47.11/29.59 tff(constB121_type, type, (
% 47.11/29.59 constB121: state_type)).
% 47.11/29.59 tff(constB120_type, type, (
% 47.11/29.59 constB120: state_type)).
% 47.11/29.59 tff(constB119_type, type, (
% 47.11/29.59 constB119: state_type)).
% 47.11/29.59 tff(constB118_type, type, (
% 47.11/29.59 constB118: state_type)).
% 47.11/29.59 tff(constB117_type, type, (
% 47.11/29.59 constB117: state_type)).
% 47.11/29.59 tff(constB116_type, type, (
% 47.11/29.59 constB116: state_type)).
% 47.11/29.59 tff(constB115_type, type, (
% 47.11/29.59 constB115: state_type)).
% 47.11/29.59 tff(constB114_type, type, (
% 47.11/29.59 constB114: state_type)).
% 47.11/29.59 tff(constB113_type, type, (
% 47.11/29.59 constB113: state_type)).
% 47.11/29.59 tff(constB112_type, type, (
% 47.11/29.59 constB112: state_type)).
% 47.11/29.59 tff(constB111_type, type, (
% 47.11/29.59 constB111: state_type)).
% 47.11/29.59 tff(constB110_type, type, (
% 47.11/29.59 constB110: state_type)).
% 47.11/29.59 tff(constB109_type, type, (
% 47.11/29.59 constB109: state_type)).
% 47.11/29.59 tff(constB108_type, type, (
% 47.11/29.59 constB108: state_type)).
% 47.11/29.59 tff(constB107_type, type, (
% 47.11/29.59 constB107: state_type)).
% 47.11/29.59 tff(constB106_type, type, (
% 47.11/29.59 constB106: state_type)).
% 47.11/29.59 tff(constB105_type, type, (
% 47.11/29.59 constB105: state_type)).
% 47.11/29.59 tff(constB104_type, type, (
% 47.11/29.59 constB104: state_type)).
% 47.11/29.59 tff(constB140_type, type, (
% 47.11/29.59 constB140: state_type)).
% 47.11/29.59 tff(constB183_type, type, (
% 47.11/29.59 constB183: state_type)).
% 47.11/29.59 tff(constB181_type, type, (
% 47.11/29.59 constB181: state_type)).
% 47.11/29.59 tff(constB180_type, type, (
% 47.11/29.59 constB180: state_type)).
% 47.11/29.59 tff(constB179_type, type, (
% 47.11/29.59 constB179: state_type)).
% 47.11/29.59 tff(constB178_type, type, (
% 47.11/29.59 constB178: state_type)).
% 47.11/29.59 tff(constB177_type, type, (
% 47.11/29.59 constB177: state_type)).
% 47.11/29.59 tff(constB176_type, type, (
% 47.11/29.60 constB176: state_type)).
% 47.11/29.60 tff(constB175_type, type, (
% 47.11/29.60 constB175: state_type)).
% 47.11/29.60 tff(constB174_type, type, (
% 47.11/29.60 constB174: state_type)).
% 47.11/29.60 tff(constB173_type, type, (
% 47.11/29.60 constB173: state_type)).
% 47.11/29.60 tff(constB172_type, type, (
% 47.11/29.60 constB172: state_type)).
% 47.11/29.60 tff(constB171_type, type, (
% 47.11/29.60 constB171: state_type)).
% 47.11/29.60 tff(constB170_type, type, (
% 47.11/29.60 constB170: state_type)).
% 47.11/29.60 tff(constB169_type, type, (
% 47.11/29.60 constB169: state_type)).
% 47.11/29.60 tff(constB168_type, type, (
% 47.11/29.60 constB168: state_type)).
% 47.11/29.60 tff(constB167_type, type, (
% 47.11/29.60 constB167: state_type)).
% 47.11/29.60 tff(constB166_type, type, (
% 47.11/29.60 constB166: state_type)).
% 47.11/29.60 tff(constB165_type, type, (
% 47.11/29.60 constB165: state_type)).
% 47.11/29.60 tff(constB164_type, type, (
% 47.11/29.60 constB164: state_type)).
% 47.11/29.60 tff(constB182_type, type, (
% 47.11/29.60 constB182: state_type)).
% 47.11/29.60 tff(constB193_type, type, (
% 47.11/29.60 constB193: state_type)).
% 47.11/29.60 tff(constB192_type, type, (
% 47.11/29.60 constB192: state_type)).
% 47.11/29.60 tff(constB191_type, type, (
% 47.11/29.60 constB191: state_type)).
% 47.11/29.60 tff(constB190_type, type, (
% 47.11/29.60 constB190: state_type)).
% 47.11/29.60 tff(constB189_type, type, (
% 47.11/29.60 constB189: state_type)).
% 47.11/29.60 tff(constB188_type, type, (
% 47.11/29.60 constB188: state_type)).
% 47.11/29.60 tff(constB187_type, type, (
% 47.11/29.60 constB187: state_type)).
% 47.11/29.60 tff(constB186_type, type, (
% 47.11/29.60 constB186: state_type)).
% 47.11/29.60 tff(constB185_type, type, (
% 47.11/29.60 constB185: state_type)).
% 47.11/29.60 tff(constB184_type, type, (
% 47.11/29.60 constB184: state_type)).
% 47.11/29.60 tff(v74_type, type, (
% 47.11/29.60 v74: state_type > $o)).
% 47.11/29.60 tff(v72_type, type, (
% 47.11/29.60 v72: state_type > $o)).
% 47.11/29.60 tff(v76_type, type, (
% 47.11/29.60 v76: state_type > $o)).
% 47.11/29.60 tff(v80_type, type, (
% 47.11/29.60 v80: state_type > $o)).
% 47.11/29.60 tff(v78_type, type, (
% 47.11/29.60 v78: state_type > $o)).
% 47.11/29.60 tff(v71_type, type, (
% 47.11/29.60 v71: state_type > $o)).
% 47.11/29.60 tff(v60_type, type, (
% 47.11/29.60 v60: state_type > $o)).
% 47.11/29.60 tff(v64_type, type, (
% 47.11/29.60 v64: state_type > $o)).
% 47.11/29.60 tff(v66_type, type, (
% 47.11/29.60 v66: state_type > $o)).
% 47.11/29.60 tff(constB196_type, type, (
% 47.11/29.60 constB196: state_type)).
% 47.11/29.60 tff(constB199_type, type, (
% 47.11/29.60 constB199: state_type)).
% 47.11/29.60 tff(constB198_type, type, (
% 47.11/29.60 constB198: state_type)).
% 47.11/29.60 tff(constB197_type, type, (
% 47.11/29.60 constB197: state_type)).
% 47.11/29.60 tff(constB195_type, type, (
% 47.11/29.60 constB195: state_type)).
% 47.11/29.60 tff(constB194_type, type, (
% 47.11/29.60 constB194: state_type)).
% 47.11/29.60 tff(constB200_type, type, (
% 47.11/29.60 constB200: state_type)).
% 47.11/29.60 tff(reachableState_type, type, (
% 47.11/29.60 reachableState: state_type > $o)).
% 47.11/29.60 tff(1,assumption,(constB103 = sK0_VarCurr), introduced(assumption)).
% 47.11/29.60 tff(2,plain,
% 47.11/29.60 (v172(constB103) <=> v172(sK0_VarCurr)),
% 47.11/29.60 inference(monotonicity,[status(thm)],[1])).
% 47.11/29.60 tff(3,plain,
% 47.11/29.60 (v172(sK0_VarCurr) <=> v172(constB103)),
% 47.11/29.60 inference(symmetry,[status(thm)],[2])).
% 47.11/29.60 tff(4,plain,
% 47.11/29.60 ((~v172(sK0_VarCurr)) <=> (~v172(constB103))),
% 47.11/29.60 inference(monotonicity,[status(thm)],[3])).
% 47.11/29.60 tff(5,plain,
% 47.11/29.60 (v168(sK0_VarCurr) <=> v168(sK0_VarCurr)),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(6,axiom,(v168(sK0_VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 47.11/29.60 tff(7,plain,
% 47.11/29.60 (v168(sK0_VarCurr)),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[6, 5])).
% 47.11/29.60 tff(8,plain,
% 47.11/29.60 (^[VarCurr: state_type] : refl((v169(VarCurr) | (~v168(VarCurr))) <=> (v169(VarCurr) | (~v168(VarCurr))))),
% 47.11/29.60 inference(bind,[status(th)],[])).
% 47.11/29.60 tff(9,plain,
% 47.11/29.60 (![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 47.11/29.60 inference(quant_intro,[status(thm)],[8])).
% 47.11/29.60 tff(10,plain,
% 47.11/29.60 (![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(11,plain,
% 47.11/29.60 (^[VarCurr: state_type] : rewrite(((~v168(VarCurr)) | v169(VarCurr)) <=> (v169(VarCurr) | (~v168(VarCurr))))),
% 47.11/29.60 inference(bind,[status(th)],[])).
% 47.11/29.60 tff(12,plain,
% 47.11/29.60 (![VarCurr: state_type] : ((~v168(VarCurr)) | v169(VarCurr)) <=> ![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 47.11/29.60 inference(quant_intro,[status(thm)],[11])).
% 47.11/29.60 tff(13,axiom,(![VarCurr: state_type] : ((~v168(VarCurr)) | v169(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1_1')).
% 47.11/29.60 tff(14,plain,
% 47.11/29.60 (![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[13, 12])).
% 47.11/29.60 tff(15,plain,
% 47.11/29.60 (![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[14, 10])).
% 47.11/29.60 tff(16,plain,(
% 47.11/29.60 ![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 47.11/29.60 inference(skolemize,[status(sab)],[15])).
% 47.11/29.60 tff(17,plain,
% 47.11/29.60 (![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[16, 9])).
% 47.11/29.60 tff(18,plain,
% 47.11/29.60 (((~![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))) | (v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))) | v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(19,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))) | (v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(20,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))) | v169(sK0_VarCurr) | (~v168(sK0_VarCurr))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[19, 18])).
% 47.11/29.60 tff(21,plain,
% 47.11/29.60 (v169(sK0_VarCurr)),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[20, 17, 7])).
% 47.11/29.60 tff(22,plain,
% 47.11/29.60 (^[VarCurr: state_type] : refl((v170(VarCurr) | (~v169(VarCurr))) <=> (v170(VarCurr) | (~v169(VarCurr))))),
% 47.11/29.60 inference(bind,[status(th)],[])).
% 47.11/29.60 tff(23,plain,
% 47.11/29.60 (![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 47.11/29.60 inference(quant_intro,[status(thm)],[22])).
% 47.11/29.60 tff(24,plain,
% 47.11/29.60 (![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(25,plain,
% 47.11/29.60 (^[VarCurr: state_type] : rewrite(((~v169(VarCurr)) | v170(VarCurr)) <=> (v170(VarCurr) | (~v169(VarCurr))))),
% 47.11/29.60 inference(bind,[status(th)],[])).
% 47.11/29.60 tff(26,plain,
% 47.11/29.60 (![VarCurr: state_type] : ((~v169(VarCurr)) | v170(VarCurr)) <=> ![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 47.11/29.60 inference(quant_intro,[status(thm)],[25])).
% 47.11/29.60 tff(27,axiom,(![VarCurr: state_type] : ((~v169(VarCurr)) | v170(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1_1_1')).
% 47.11/29.60 tff(28,plain,
% 47.11/29.60 (![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[27, 26])).
% 47.11/29.60 tff(29,plain,
% 47.11/29.60 (![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[28, 24])).
% 47.11/29.60 tff(30,plain,(
% 47.11/29.60 ![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 47.11/29.60 inference(skolemize,[status(sab)],[29])).
% 47.11/29.60 tff(31,plain,
% 47.11/29.60 (![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[30, 23])).
% 47.11/29.60 tff(32,plain,
% 47.11/29.60 (((~![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))) | (v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))) | v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(33,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))) | (v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(34,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))) | v170(sK0_VarCurr) | (~v169(sK0_VarCurr))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[33, 32])).
% 47.11/29.60 tff(35,plain,
% 47.11/29.60 (v170(sK0_VarCurr)),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[34, 31, 21])).
% 47.11/29.60 tff(36,plain,
% 47.11/29.60 (^[VarCurr: state_type] : refl(((~v170(VarCurr)) | (~v172(VarCurr))) <=> ((~v170(VarCurr)) | (~v172(VarCurr))))),
% 47.11/29.60 inference(bind,[status(th)],[])).
% 47.11/29.60 tff(37,plain,
% 47.11/29.60 (![VarCurr: state_type] : ((~v170(VarCurr)) | (~v172(VarCurr))) <=> ![VarCurr: state_type] : ((~v170(VarCurr)) | (~v172(VarCurr)))),
% 47.11/29.60 inference(quant_intro,[status(thm)],[36])).
% 47.11/29.60 tff(38,plain,
% 47.11/29.60 (![VarCurr: state_type] : ((~v170(VarCurr)) | (~v172(VarCurr))) <=> ![VarCurr: state_type] : ((~v170(VarCurr)) | (~v172(VarCurr)))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(39,axiom,(![VarCurr: state_type] : ((~v170(VarCurr)) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41_1_1_1_1')).
% 47.11/29.60 tff(40,plain,
% 47.11/29.60 (![VarCurr: state_type] : ((~v170(VarCurr)) | (~v172(VarCurr)))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[39, 38])).
% 47.11/29.60 tff(41,plain,(
% 47.11/29.60 ![VarCurr: state_type] : ((~v170(VarCurr)) | (~v172(VarCurr)))),
% 47.11/29.60 inference(skolemize,[status(sab)],[40])).
% 47.11/29.60 tff(42,plain,
% 47.11/29.60 (![VarCurr: state_type] : ((~v170(VarCurr)) | (~v172(VarCurr)))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[41, 37])).
% 47.11/29.60 tff(43,plain,
% 47.11/29.60 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v172(VarCurr)))) | ((~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v172(VarCurr)))) | (~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr)))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(44,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v172(VarCurr)))) | ((~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr)))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(45,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v172(VarCurr)))) | (~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[44, 43])).
% 47.11/29.60 tff(46,plain,
% 47.11/29.60 (~v172(sK0_VarCurr)),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[45, 42, 35])).
% 47.11/29.60 tff(47,plain,
% 47.11/29.60 (~v172(constB103)),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[46, 4])).
% 47.11/29.60 tff(48,assumption,(v26(constB39)), introduced(assumption)).
% 47.11/29.60 tff(49,plain,
% 47.11/29.60 (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 47.11/29.60 inference(bind,[status(th)],[])).
% 47.11/29.60 tff(50,plain,
% 47.11/29.60 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 47.11/29.60 inference(quant_intro,[status(thm)],[49])).
% 47.11/29.60 tff(51,plain,
% 47.11/29.60 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(52,axiom,(![VarCurr: state_type] : (~v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 47.11/29.60 tff(53,plain,
% 47.11/29.60 (![VarCurr: state_type] : (~v26(VarCurr))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[52, 51])).
% 47.11/29.60 tff(54,plain,(
% 47.11/29.60 ![VarCurr: state_type] : (~v26(VarCurr))),
% 47.11/29.60 inference(skolemize,[status(sab)],[53])).
% 47.11/29.60 tff(55,plain,
% 47.11/29.60 (![VarCurr: state_type] : (~v26(VarCurr))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[54, 50])).
% 47.11/29.60 tff(56,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(57,plain,
% 47.11/29.60 ($false),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[56, 55, 48])).
% 47.11/29.60 tff(58,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 47.11/29.60 tff(59,assumption,(v26(constB37)), introduced(assumption)).
% 47.11/29.60 tff(60,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(61,plain,
% 47.11/29.60 ($false),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[60, 55, 59])).
% 47.11/29.60 tff(62,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 47.11/29.60 tff(63,assumption,(v26(constB15)), introduced(assumption)).
% 47.11/29.60 tff(64,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(65,plain,
% 47.11/29.60 ($false),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[64, 55, 63])).
% 47.11/29.60 tff(66,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 47.11/29.60 tff(67,assumption,(v26(constB13)), introduced(assumption)).
% 47.11/29.60 tff(68,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(69,plain,
% 47.11/29.60 ($false),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[68, 55, 67])).
% 47.11/29.60 tff(70,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 47.11/29.60 tff(71,assumption,(v26(constB11)), introduced(assumption)).
% 47.11/29.60 tff(72,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(73,plain,
% 47.11/29.60 ($false),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[72, 55, 71])).
% 47.11/29.60 tff(74,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 47.11/29.60 tff(75,assumption,(v26(constB9)), introduced(assumption)).
% 47.11/29.60 tff(76,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(77,plain,
% 47.11/29.60 ($false),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[76, 55, 75])).
% 47.11/29.60 tff(78,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 47.11/29.60 tff(79,assumption,(v26(constB7)), introduced(assumption)).
% 47.11/29.60 tff(80,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB7))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(81,plain,
% 47.11/29.60 ($false),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[80, 55, 79])).
% 47.11/29.60 tff(82,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 47.11/29.60 tff(83,assumption,(v26(constB5)), introduced(assumption)).
% 47.11/29.60 tff(84,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB5))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(85,plain,
% 47.11/29.60 ($false),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[84, 55, 83])).
% 47.11/29.60 tff(86,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 47.11/29.60 tff(87,assumption,(v26(constB3)), introduced(assumption)).
% 47.11/29.60 tff(88,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB3))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(89,plain,
% 47.11/29.60 ($false),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[88, 55, 87])).
% 47.11/29.60 tff(90,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 47.11/29.60 tff(91,assumption,(v26(constB1)), introduced(assumption)).
% 47.11/29.60 tff(92,plain,
% 47.11/29.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB1))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(93,plain,
% 47.11/29.60 ($false),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[92, 55, 91])).
% 47.11/29.60 tff(94,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 47.11/29.60 tff(95,plain,
% 47.11/29.60 ((~v1(constB1)) <=> (~v1(constB1))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(96,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 47.11/29.60 tff(97,plain,
% 47.11/29.60 (~v1(constB1)),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[96, 95])).
% 47.11/29.60 tff(98,plain,
% 47.11/29.60 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(99,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_200')).
% 47.11/29.60 tff(100,plain,
% 47.11/29.60 (nextState(constB0, constB1)),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[99, 98])).
% 47.11/29.60 tff(101,plain,
% 47.11/29.60 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)))),
% 47.11/29.60 inference(bind,[status(th)],[])).
% 47.11/29.60 tff(102,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 47.11/29.60 inference(quant_intro,[status(thm)],[101])).
% 47.11/29.60 tff(103,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(104,plain,
% 47.11/29.60 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | v1(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | v1(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))))),
% 47.11/29.60 inference(bind,[status(th)],[])).
% 47.11/29.60 tff(105,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 47.11/29.60 inference(quant_intro,[status(thm)],[104])).
% 47.11/29.60 tff(106,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | v1(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 47.11/29.60 tff(107,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[106, 105])).
% 47.11/29.60 tff(108,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[107, 103])).
% 47.11/29.60 tff(109,plain,(
% 47.11/29.60 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 47.11/29.60 inference(skolemize,[status(sab)],[108])).
% 47.11/29.60 tff(110,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[109, 102])).
% 47.11/29.60 tff(111,plain,
% 47.11/29.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(112,plain,
% 47.11/29.60 (((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(113,plain,
% 47.11/29.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1))))),
% 47.11/29.60 inference(monotonicity,[status(thm)],[112])).
% 47.11/29.60 tff(114,plain,
% 47.11/29.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))),
% 47.11/29.60 inference(transitivity,[status(thm)],[113, 111])).
% 47.11/29.60 tff(115,plain,
% 47.11/29.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(116,plain,
% 47.11/29.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[115, 114])).
% 47.11/29.60 tff(117,plain,
% 47.11/29.60 (~v95(constB1)),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[116, 110, 100, 97])).
% 47.11/29.60 tff(118,plain,
% 47.11/29.60 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))))),
% 47.11/29.60 inference(bind,[status(th)],[])).
% 47.11/29.60 tff(119,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 47.11/29.60 inference(quant_intro,[status(thm)],[118])).
% 47.11/29.60 tff(120,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(121,plain,
% 47.11/29.60 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v94(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v95(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v95(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v95(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v95(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))))),
% 47.11/29.60 inference(bind,[status(th)],[])).
% 47.11/29.60 tff(122,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v95(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 47.11/29.60 inference(quant_intro,[status(thm)],[121])).
% 47.11/29.60 tff(123,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v95(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 47.11/29.60 tff(124,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[123, 122])).
% 47.11/29.60 tff(125,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[124, 120])).
% 47.11/29.60 tff(126,plain,(
% 47.11/29.60 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 47.11/29.60 inference(skolemize,[status(sab)],[125])).
% 47.11/29.60 tff(127,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[126, 119])).
% 47.11/29.60 tff(128,plain,
% 47.11/29.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1)))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(129,plain,
% 47.11/29.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1)))),
% 47.11/29.60 inference(quant_inst,[status(thm)],[])).
% 47.11/29.60 tff(130,plain,
% 47.11/29.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1))),
% 47.11/29.60 inference(modus_ponens,[status(thm)],[129, 128])).
% 47.11/29.60 tff(131,plain,
% 47.11/29.60 (v95(constB1) | (~v94(constB1))),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[130, 127, 100])).
% 47.11/29.60 tff(132,plain,
% 47.11/29.60 (~v94(constB1)),
% 47.11/29.60 inference(unit_resolution,[status(thm)],[131, 117])).
% 47.11/29.60 tff(133,plain,
% 47.11/29.60 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))))),
% 47.11/29.60 inference(bind,[status(th)],[])).
% 47.11/29.60 tff(134,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 47.11/29.60 inference(quant_intro,[status(thm)],[133])).
% 47.11/29.60 tff(135,plain,
% 47.11/29.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 47.11/29.60 inference(rewrite,[status(thm)],[])).
% 47.11/29.60 tff(136,plain,
% 47.11/29.60 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex2)))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex2))))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v84(VarCurr, bitIndex2)) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex2))) | v84(VarCurr, bitIndex2)))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex2))) | v84(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v84(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))))),
% 47.11/29.61 inference(bind,[status(th)],[])).
% 47.11/29.61 tff(137,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v84(VarCurr, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 47.11/29.61 inference(quant_intro,[status(thm)],[136])).
% 47.11/29.61 tff(138,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v84(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_6')).
% 47.11/29.61 tff(139,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 47.11/29.61 inference(modus_ponens,[status(thm)],[138, 137])).
% 47.11/29.61 tff(140,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 47.11/29.61 inference(modus_ponens,[status(thm)],[139, 135])).
% 47.11/29.61 tff(141,plain,(
% 47.11/29.61 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 47.11/29.61 inference(skolemize,[status(sab)],[140])).
% 47.11/29.61 tff(142,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 47.11/29.61 inference(modus_ponens,[status(thm)],[141, 134])).
% 47.11/29.61 tff(143,plain,
% 47.11/29.61 ((~v84(constB0, bitIndex2)) <=> (~v84(constB0, bitIndex2))),
% 47.11/29.61 inference(rewrite,[status(thm)],[])).
% 47.11/29.61 tff(144,axiom,(~v84(constB0, bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 47.11/29.61 tff(145,plain,
% 47.11/29.61 (~v84(constB0, bitIndex2)),
% 47.11/29.61 inference(modus_ponens,[status(thm)],[144, 143])).
% 47.11/29.61 tff(146,plain,
% 47.11/29.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 47.11/29.61 inference(rewrite,[status(thm)],[])).
% 47.11/29.61 tff(147,plain,
% 47.11/29.61 (((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2))) <=> (v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 47.11/29.61 inference(rewrite,[status(thm)],[])).
% 47.11/29.61 tff(148,plain,
% 47.11/29.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2))))),
% 47.11/29.61 inference(monotonicity,[status(thm)],[147])).
% 47.11/29.61 tff(149,plain,
% 47.11/29.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 47.11/29.61 inference(transitivity,[status(thm)],[148, 146])).
% 47.11/29.61 tff(150,plain,
% 47.11/29.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 47.11/29.61 inference(quant_inst,[status(thm)],[])).
% 47.11/29.61 tff(151,plain,
% 47.11/29.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2))),
% 47.11/29.61 inference(modus_ponens,[status(thm)],[150, 149])).
% 47.11/29.61 tff(152,plain,
% 47.11/29.61 (v94(constB1) | (~v84(constB1, bitIndex2))),
% 47.11/29.61 inference(unit_resolution,[status(thm)],[151, 145, 142, 100])).
% 47.11/29.61 tff(153,plain,
% 47.11/29.61 (~v84(constB1, bitIndex2)),
% 47.11/29.61 inference(unit_resolution,[status(thm)],[152, 132])).
% 47.11/29.61 tff(154,plain,
% 47.11/29.61 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))))),
% 47.11/29.61 inference(bind,[status(th)],[])).
% 47.11/29.61 tff(155,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 47.11/29.61 inference(quant_intro,[status(thm)],[154])).
% 47.11/29.61 tff(156,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 47.11/29.61 inference(rewrite,[status(thm)],[])).
% 47.11/29.61 tff(157,plain,
% 47.11/29.61 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex1)))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex1))))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v84(VarCurr, bitIndex1)) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex1))) | v84(VarCurr, bitIndex1)))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex1))) | v84(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v84(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))))),
% 47.11/29.61 inference(bind,[status(th)],[])).
% 47.11/29.61 tff(158,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v84(VarCurr, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 47.11/29.61 inference(quant_intro,[status(thm)],[157])).
% 47.11/29.61 tff(159,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v84(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_4')).
% 47.11/29.61 tff(160,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 47.11/29.61 inference(modus_ponens,[status(thm)],[159, 158])).
% 47.11/29.61 tff(161,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 47.11/29.61 inference(modus_ponens,[status(thm)],[160, 156])).
% 47.11/29.61 tff(162,plain,(
% 47.11/29.61 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 47.11/29.61 inference(skolemize,[status(sab)],[161])).
% 47.11/29.61 tff(163,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 47.11/29.61 inference(modus_ponens,[status(thm)],[162, 155])).
% 47.11/29.61 tff(164,plain,
% 47.11/29.61 ((~v84(constB0, bitIndex1)) <=> (~v84(constB0, bitIndex1))),
% 47.11/29.61 inference(rewrite,[status(thm)],[])).
% 47.11/29.61 tff(165,axiom,(~v84(constB0, bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 47.11/29.61 tff(166,plain,
% 47.11/29.61 (~v84(constB0, bitIndex1)),
% 47.11/29.61 inference(modus_ponens,[status(thm)],[165, 164])).
% 47.11/29.61 tff(167,plain,
% 47.11/29.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 47.11/29.61 inference(rewrite,[status(thm)],[])).
% 47.11/29.61 tff(168,plain,
% 47.11/29.61 (((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1))) <=> (v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 47.11/29.61 inference(rewrite,[status(thm)],[])).
% 47.11/29.61 tff(169,plain,
% 47.11/29.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1))))),
% 47.11/29.61 inference(monotonicity,[status(thm)],[168])).
% 47.11/29.61 tff(170,plain,
% 47.11/29.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 47.11/29.61 inference(transitivity,[status(thm)],[169, 167])).
% 47.11/29.61 tff(171,plain,
% 47.11/29.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 47.11/29.61 inference(quant_inst,[status(thm)],[])).
% 47.11/29.61 tff(172,plain,
% 47.11/29.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1))),
% 47.11/29.61 inference(modus_ponens,[status(thm)],[171, 170])).
% 47.11/29.61 tff(173,plain,
% 47.11/29.61 (v94(constB1) | (~v84(constB1, bitIndex1))),
% 47.11/29.61 inference(unit_resolution,[status(thm)],[172, 166, 163, 100])).
% 47.11/29.61 tff(174,plain,
% 47.11/29.61 (~v84(constB1, bitIndex1)),
% 47.11/29.61 inference(unit_resolution,[status(thm)],[173, 132])).
% 47.11/29.61 tff(175,plain,
% 47.11/29.61 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))))),
% 47.11/29.61 inference(bind,[status(th)],[])).
% 47.11/29.61 tff(176,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 47.11/29.61 inference(quant_intro,[status(thm)],[175])).
% 47.11/29.61 tff(177,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 47.11/29.61 inference(rewrite,[status(thm)],[])).
% 47.11/29.61 tff(178,plain,
% 47.11/29.61 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex0)))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex0))))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v84(VarCurr, bitIndex0)) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex0))) | v84(VarCurr, bitIndex0)))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex0))) | v84(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v84(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))))),
% 47.11/29.61 inference(bind,[status(th)],[])).
% 47.11/29.61 tff(179,plain,
% 47.11/29.61 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v84(VarCurr, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 47.11/29.61 inference(quant_intro,[status(thm)],[178])).
% 47.11/29.62 tff(180,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 47.11/29.62 tff(181,plain,
% 47.11/29.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 47.11/29.62 inference(modus_ponens,[status(thm)],[180, 179])).
% 47.11/29.62 tff(182,plain,
% 47.11/29.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 47.11/29.62 inference(modus_ponens,[status(thm)],[181, 177])).
% 47.11/29.62 tff(183,plain,(
% 47.11/29.62 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 47.11/29.62 inference(skolemize,[status(sab)],[182])).
% 47.11/29.62 tff(184,plain,
% 47.11/29.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 47.11/29.62 inference(modus_ponens,[status(thm)],[183, 176])).
% 47.11/29.62 tff(185,plain,
% 47.11/29.62 ((~v84(constB0, bitIndex0)) <=> (~v84(constB0, bitIndex0))),
% 47.11/29.62 inference(rewrite,[status(thm)],[])).
% 47.11/29.62 tff(186,axiom,(~v84(constB0, bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 47.11/29.62 tff(187,plain,
% 47.11/29.62 (~v84(constB0, bitIndex0)),
% 47.11/29.62 inference(modus_ponens,[status(thm)],[186, 185])).
% 47.11/29.62 tff(188,plain,
% 47.11/29.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 47.11/29.62 inference(rewrite,[status(thm)],[])).
% 47.11/29.62 tff(189,plain,
% 47.11/29.62 (((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0))) <=> (v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 47.11/29.62 inference(rewrite,[status(thm)],[])).
% 47.11/29.62 tff(190,plain,
% 47.11/29.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0))))),
% 47.11/29.62 inference(monotonicity,[status(thm)],[189])).
% 47.11/29.62 tff(191,plain,
% 47.11/29.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 47.11/29.62 inference(transitivity,[status(thm)],[190, 188])).
% 47.11/29.62 tff(192,plain,
% 47.11/29.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 47.11/29.62 inference(quant_inst,[status(thm)],[])).
% 47.11/29.62 tff(193,plain,
% 47.11/29.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0))),
% 47.17/29.62 inference(modus_ponens,[status(thm)],[192, 191])).
% 47.17/29.62 tff(194,plain,
% 47.17/29.62 (v94(constB1) | (~v84(constB1, bitIndex0))),
% 47.17/29.62 inference(unit_resolution,[status(thm)],[193, 187, 184, 100])).
% 47.17/29.62 tff(195,plain,
% 47.17/29.62 (~v84(constB1, bitIndex0)),
% 47.17/29.62 inference(unit_resolution,[status(thm)],[194, 132])).
% 47.17/29.62 tff(196,plain,
% 47.17/29.62 (^[VarCurr: state_type] : refl((v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)))),
% 47.17/29.62 inference(bind,[status(th)],[])).
% 47.17/29.62 tff(197,plain,
% 47.17/29.62 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 47.17/29.62 inference(quant_intro,[status(thm)],[196])).
% 47.17/29.62 tff(198,plain,
% 47.17/29.62 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 47.17/29.62 inference(rewrite,[status(thm)],[])).
% 47.17/29.62 tff(199,plain,
% 47.17/29.62 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))), ((((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v113(VarCurr)) <=> ((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v113(VarCurr)))), rewrite(((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v113(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))), ((((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v113(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))),
% 47.17/29.62 inference(bind,[status(th)],[])).
% 47.17/29.62 tff(200,plain,
% 47.17/29.62 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v113(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 47.17/29.62 inference(quant_intro,[status(thm)],[199])).
% 47.17/29.62 tff(201,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v113(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 47.17/29.62 tff(202,plain,
% 47.17/29.62 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 47.17/29.62 inference(modus_ponens,[status(thm)],[201, 200])).
% 47.17/29.62 tff(203,plain,
% 47.17/29.62 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 47.17/29.62 inference(modus_ponens,[status(thm)],[202, 198])).
% 47.17/29.62 tff(204,plain,(
% 47.17/29.62 ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 47.17/29.62 inference(skolemize,[status(sab)],[203])).
% 47.17/29.62 tff(205,plain,
% 47.17/29.62 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 47.17/29.62 inference(modus_ponens,[status(thm)],[204, 197])).
% 47.17/29.62 tff(206,plain,
% 47.17/29.62 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | v113(constB1))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | v113(constB1))),
% 47.17/29.62 inference(rewrite,[status(thm)],[])).
% 47.17/29.62 tff(207,plain,
% 47.17/29.62 ((v84(constB1, bitIndex0) | v113(constB1) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2)) <=> (v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | v113(constB1))),
% 47.17/29.62 inference(rewrite,[status(thm)],[])).
% 47.17/29.62 tff(208,plain,
% 47.17/29.62 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB1, bitIndex0) | v113(constB1) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | v113(constB1)))),
% 47.17/29.62 inference(monotonicity,[status(thm)],[207])).
% 47.17/29.62 tff(209,plain,
% 47.17/29.62 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB1, bitIndex0) | v113(constB1) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | v113(constB1))),
% 47.17/29.62 inference(transitivity,[status(thm)],[208, 206])).
% 47.17/29.62 tff(210,plain,
% 47.17/29.62 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB1, bitIndex0) | v113(constB1) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))),
% 47.17/29.62 inference(quant_inst,[status(thm)],[])).
% 47.17/29.62 tff(211,plain,
% 47.17/29.62 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | v113(constB1)),
% 47.17/29.62 inference(modus_ponens,[status(thm)],[210, 209])).
% 47.17/29.62 tff(212,plain,
% 47.17/29.62 (v113(constB1)),
% 47.17/29.62 inference(unit_resolution,[status(thm)],[211, 205, 195, 174, 153])).
% 47.17/29.62 tff(213,plain,
% 47.17/29.62 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 47.17/29.62 inference(bind,[status(th)],[])).
% 47.17/29.62 tff(214,plain,
% 47.17/29.62 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 47.17/29.62 inference(quant_intro,[status(thm)],[213])).
% 47.17/29.62 tff(215,plain,
% 47.17/29.62 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 47.17/29.62 inference(rewrite,[status(thm)],[])).
% 47.17/29.62 tff(216,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_2')).
% 47.17/29.62 tff(217,plain,
% 47.17/29.62 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 47.17/29.62 inference(modus_ponens,[status(thm)],[216, 215])).
% 47.17/29.62 tff(218,plain,(
% 47.17/29.62 ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 47.17/29.62 inference(skolemize,[status(sab)],[217])).
% 47.17/29.62 tff(219,plain,
% 47.17/29.62 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 47.17/29.62 inference(modus_ponens,[status(thm)],[218, 214])).
% 47.17/29.62 tff(220,plain,
% 47.17/29.62 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB1)) | (~v124(constB1, bitIndex1)))),
% 47.17/29.62 inference(rewrite,[status(thm)],[])).
% 47.17/29.62 tff(221,plain,
% 47.17/29.62 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex1)))),
% 47.17/29.62 inference(quant_inst,[status(thm)],[])).
% 47.17/29.62 tff(222,plain,
% 47.17/29.62 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB1)) | (~v124(constB1, bitIndex1))),
% 47.17/29.62 inference(modus_ponens,[status(thm)],[221, 220])).
% 47.17/29.62 tff(223,plain,
% 47.17/29.62 (~v124(constB1, bitIndex1)),
% 47.17/29.62 inference(unit_resolution,[status(thm)],[222, 219, 212])).
% 47.17/29.62 tff(224,plain,
% 47.17/29.62 (^[VarCurr: state_type] : refl((v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))))),
% 47.17/29.62 inference(bind,[status(th)],[])).
% 47.17/29.62 tff(225,plain,
% 47.17/29.62 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 47.17/29.62 inference(quant_intro,[status(thm)],[224])).
% 47.17/29.62 tff(226,plain,
% 47.17/29.62 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 47.17/29.62 inference(rewrite,[status(thm)],[])).
% 47.17/29.62 tff(227,plain,
% 47.17/29.62 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v121(VarCurr, bitIndex1))) | v124(VarCurr, bitIndex1)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))))),
% 47.17/29.62 inference(bind,[status(th)],[])).
% 47.17/29.62 tff(228,plain,
% 47.17/29.62 (![VarCurr: state_type] : ((v26(VarCurr) | (~v121(VarCurr, bitIndex1))) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 47.17/29.62 inference(quant_intro,[status(thm)],[227])).
% 47.17/29.62 tff(229,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v121(VarCurr, bitIndex1))) | v124(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 47.17/29.62 tff(230,plain,
% 47.17/29.62 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 47.17/29.62 inference(modus_ponens,[status(thm)],[229, 228])).
% 47.17/29.62 tff(231,plain,
% 47.17/29.62 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 47.17/29.62 inference(modus_ponens,[status(thm)],[230, 226])).
% 47.17/29.62 tff(232,plain,(
% 47.17/29.62 ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 47.17/29.62 inference(skolemize,[status(sab)],[231])).
% 47.17/29.62 tff(233,plain,
% 47.17/29.62 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 47.17/29.62 inference(modus_ponens,[status(thm)],[232, 225])).
% 47.17/29.62 tff(234,plain,
% 47.17/29.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))),
% 47.17/29.62 inference(rewrite,[status(thm)],[])).
% 47.17/29.62 tff(235,plain,
% 47.17/29.62 ((v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1))) <=> ((~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))),
% 47.17/29.62 inference(rewrite,[status(thm)],[])).
% 47.17/29.62 tff(236,plain,
% 47.17/29.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1)))),
% 47.17/29.62 inference(monotonicity,[status(thm)],[235])).
% 47.17/29.62 tff(237,plain,
% 47.17/29.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))),
% 47.17/29.62 inference(transitivity,[status(thm)],[236, 234])).
% 47.17/29.62 tff(238,plain,
% 47.17/29.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1)))),
% 47.17/29.62 inference(quant_inst,[status(thm)],[])).
% 47.17/29.62 tff(239,plain,
% 47.17/29.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1)),
% 47.17/29.62 inference(modus_ponens,[status(thm)],[238, 237])).
% 47.17/29.63 tff(240,plain,
% 47.17/29.63 ((~v121(constB1, bitIndex1)) | v26(constB1)),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[239, 233, 223])).
% 47.17/29.63 tff(241,plain,
% 47.17/29.63 (~v121(constB1, bitIndex1)),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[240, 94])).
% 47.17/29.63 tff(242,plain,
% 47.17/29.63 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(243,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 47.17/29.63 tff(244,plain,
% 47.17/29.63 (nextState(constB1, constB2)),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[243, 242])).
% 47.17/29.63 tff(245,plain,
% 47.17/29.63 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(246,plain,
% 47.17/29.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 47.17/29.63 inference(quant_intro,[status(thm)],[245])).
% 47.17/29.63 tff(247,plain,
% 47.17/29.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(248,plain,
% 47.17/29.63 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex1))) | v121(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(249,plain,
% 47.17/29.63 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex1))) | v121(VarCurr, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 47.17/29.63 inference(quant_intro,[status(thm)],[248])).
% 47.17/29.63 tff(250,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex1))) | v121(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 47.17/29.63 tff(251,plain,
% 47.17/29.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[250, 249])).
% 47.17/29.63 tff(252,plain,
% 47.17/29.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[251, 247])).
% 47.17/29.63 tff(253,plain,(
% 47.17/29.63 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 47.17/29.63 inference(skolemize,[status(sab)],[252])).
% 47.17/29.63 tff(254,plain,
% 47.17/29.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[253, 246])).
% 47.17/29.63 tff(255,plain,
% 47.17/29.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1)))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(256,plain,
% 47.17/29.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1)))),
% 47.17/29.63 inference(quant_inst,[status(thm)],[])).
% 47.17/29.63 tff(257,plain,
% 47.17/29.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[256, 255])).
% 47.17/29.63 tff(258,plain,
% 47.17/29.63 (v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1))),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[257, 254, 244])).
% 47.17/29.63 tff(259,plain,
% 47.17/29.63 (~v123(constB2, bitIndex1)),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[258, 241])).
% 47.17/29.63 tff(260,assumption,(~v26(constB1)), introduced(assumption)).
% 47.17/29.63 tff(261,plain,
% 47.17/29.63 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | v112(VarCurr)) <=> ((~v113(VarCurr)) | v112(VarCurr)))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(262,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))),
% 47.17/29.63 inference(quant_intro,[status(thm)],[261])).
% 47.17/29.63 tff(263,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(264,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1_2')).
% 47.17/29.63 tff(265,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[264, 263])).
% 47.17/29.63 tff(266,plain,(
% 47.17/29.63 ![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))),
% 47.17/29.63 inference(skolemize,[status(sab)],[265])).
% 47.17/29.63 tff(267,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[266, 262])).
% 47.17/29.63 tff(268,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB1)) | v112(constB1))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB1)) | v112(constB1))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(269,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB1)) | v112(constB1))),
% 47.17/29.63 inference(quant_inst,[status(thm)],[])).
% 47.17/29.63 tff(270,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB1)) | v112(constB1)),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[269, 268])).
% 47.17/29.63 tff(271,plain,
% 47.17/29.63 (v112(constB1)),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[270, 267, 212])).
% 47.17/29.63 tff(272,plain,
% 47.17/29.63 (^[VarCurr: state_type] : refl(((~v112(VarCurr)) | v111(VarCurr)) <=> ((~v112(VarCurr)) | v111(VarCurr)))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(273,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))),
% 47.17/29.63 inference(quant_intro,[status(thm)],[272])).
% 47.17/29.63 tff(274,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(275,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 47.17/29.63 tff(276,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[275, 274])).
% 47.17/29.63 tff(277,plain,(
% 47.17/29.63 ![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))),
% 47.17/29.63 inference(skolemize,[status(sab)],[276])).
% 47.17/29.63 tff(278,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[277, 273])).
% 47.17/29.63 tff(279,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB1) | (~v112(constB1)))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(280,plain,
% 47.17/29.63 (((~v112(constB1)) | v111(constB1)) <=> (v111(constB1) | (~v112(constB1)))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(281,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB1)) | v111(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB1) | (~v112(constB1))))),
% 47.17/29.63 inference(monotonicity,[status(thm)],[280])).
% 47.17/29.63 tff(282,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB1)) | v111(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB1) | (~v112(constB1)))),
% 47.17/29.63 inference(transitivity,[status(thm)],[281, 279])).
% 47.17/29.63 tff(283,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB1)) | v111(constB1))),
% 47.17/29.63 inference(quant_inst,[status(thm)],[])).
% 47.17/29.63 tff(284,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB1) | (~v112(constB1))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[283, 282])).
% 47.17/29.63 tff(285,plain,
% 47.17/29.63 (v111(constB1)),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[284, 278, 271])).
% 47.17/29.63 tff(286,plain,
% 47.17/29.63 (^[VarCurr: state_type] : refl(((~v111(VarCurr)) | v110(VarCurr)) <=> ((~v111(VarCurr)) | v110(VarCurr)))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(287,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr)) <=> ![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))),
% 47.17/29.63 inference(quant_intro,[status(thm)],[286])).
% 47.17/29.63 tff(288,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr)) <=> ![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(289,axiom,(![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 47.17/29.63 tff(290,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[289, 288])).
% 47.17/29.63 tff(291,plain,(
% 47.17/29.63 ![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))),
% 47.17/29.63 inference(skolemize,[status(sab)],[290])).
% 47.17/29.63 tff(292,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[291, 287])).
% 47.17/29.63 tff(293,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB1) | (~v111(constB1)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB1) | (~v111(constB1)))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(294,plain,
% 47.17/29.63 (((~v111(constB1)) | v110(constB1)) <=> (v110(constB1) | (~v111(constB1)))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(295,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB1)) | v110(constB1))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB1) | (~v111(constB1))))),
% 47.17/29.63 inference(monotonicity,[status(thm)],[294])).
% 47.17/29.63 tff(296,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB1)) | v110(constB1))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB1) | (~v111(constB1)))),
% 47.17/29.63 inference(transitivity,[status(thm)],[295, 293])).
% 47.17/29.63 tff(297,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB1)) | v110(constB1))),
% 47.17/29.63 inference(quant_inst,[status(thm)],[])).
% 47.17/29.63 tff(298,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB1) | (~v111(constB1))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[297, 296])).
% 47.17/29.63 tff(299,plain,
% 47.17/29.63 (v110(constB1)),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[298, 292, 285])).
% 47.17/29.63 tff(300,plain,
% 47.17/29.63 (^[VarCurr: state_type] : refl(((~v110(VarCurr)) | v109(VarCurr)) <=> ((~v110(VarCurr)) | v109(VarCurr)))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(301,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr)) <=> ![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))),
% 47.17/29.63 inference(quant_intro,[status(thm)],[300])).
% 47.17/29.63 tff(302,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr)) <=> ![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(303,axiom,(![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1_2')).
% 47.17/29.63 tff(304,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[303, 302])).
% 47.17/29.63 tff(305,plain,(
% 47.17/29.63 ![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))),
% 47.17/29.63 inference(skolemize,[status(sab)],[304])).
% 47.17/29.63 tff(306,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[305, 301])).
% 47.17/29.63 tff(307,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB1) | (~v110(constB1)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB1) | (~v110(constB1)))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(308,plain,
% 47.17/29.63 (((~v110(constB1)) | v109(constB1)) <=> (v109(constB1) | (~v110(constB1)))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(309,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB1)) | v109(constB1))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB1) | (~v110(constB1))))),
% 47.17/29.63 inference(monotonicity,[status(thm)],[308])).
% 47.17/29.63 tff(310,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB1)) | v109(constB1))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB1) | (~v110(constB1)))),
% 47.17/29.63 inference(transitivity,[status(thm)],[309, 307])).
% 47.17/29.63 tff(311,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB1)) | v109(constB1))),
% 47.17/29.63 inference(quant_inst,[status(thm)],[])).
% 47.17/29.63 tff(312,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB1) | (~v110(constB1))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[311, 310])).
% 47.17/29.63 tff(313,plain,
% 47.17/29.63 (v109(constB1)),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[312, 306, 299])).
% 47.17/29.63 tff(314,plain,
% 47.17/29.63 (^[VarCurr: state_type] : refl(((~v109(VarCurr)) | v108(VarCurr)) <=> ((~v109(VarCurr)) | v108(VarCurr)))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(315,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))),
% 47.17/29.63 inference(quant_intro,[status(thm)],[314])).
% 47.17/29.63 tff(316,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(317,axiom,(![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 47.17/29.63 tff(318,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[317, 316])).
% 47.17/29.63 tff(319,plain,(
% 47.17/29.63 ![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))),
% 47.17/29.63 inference(skolemize,[status(sab)],[318])).
% 47.17/29.63 tff(320,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[319, 315])).
% 47.17/29.63 tff(321,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v109(constB1)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v109(constB1)))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(322,plain,
% 47.17/29.63 (((~v109(constB1)) | v108(constB1)) <=> (v108(constB1) | (~v109(constB1)))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(323,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v109(constB1))))),
% 47.17/29.63 inference(monotonicity,[status(thm)],[322])).
% 47.17/29.63 tff(324,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v109(constB1)))),
% 47.17/29.63 inference(transitivity,[status(thm)],[323, 321])).
% 47.17/29.63 tff(325,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB1)) | v108(constB1))),
% 47.17/29.63 inference(quant_inst,[status(thm)],[])).
% 47.17/29.63 tff(326,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v109(constB1))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[325, 324])).
% 47.17/29.63 tff(327,plain,
% 47.17/29.63 (v108(constB1)),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[326, 320, 313])).
% 47.17/29.63 tff(328,plain,
% 47.17/29.63 (^[VarCurr: state_type] : refl(((~v108(VarCurr)) | v107(VarCurr)) <=> ((~v108(VarCurr)) | v107(VarCurr)))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(329,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr)) <=> ![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))),
% 47.17/29.63 inference(quant_intro,[status(thm)],[328])).
% 47.17/29.63 tff(330,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr)) <=> ![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(331,axiom,(![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 47.17/29.63 tff(332,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[331, 330])).
% 47.17/29.63 tff(333,plain,(
% 47.17/29.63 ![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))),
% 47.17/29.63 inference(skolemize,[status(sab)],[332])).
% 47.17/29.63 tff(334,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[333, 329])).
% 47.17/29.63 tff(335,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB1)) | v107(constB1))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB1)) | v107(constB1))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(336,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB1)) | v107(constB1))),
% 47.17/29.63 inference(quant_inst,[status(thm)],[])).
% 47.17/29.63 tff(337,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB1)) | v107(constB1)),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[336, 335])).
% 47.17/29.63 tff(338,plain,
% 47.17/29.63 (v107(constB1)),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[337, 334, 327])).
% 47.17/29.63 tff(339,plain,
% 47.17/29.63 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(340,plain,
% 47.17/29.63 (![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 47.17/29.63 inference(quant_intro,[status(thm)],[339])).
% 47.17/29.63 tff(341,plain,
% 47.17/29.63 (![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(342,plain,
% 47.17/29.63 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v107(VarCurr))) | v106(VarCurr)) <=> (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(343,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((v26(VarCurr) | (~v107(VarCurr))) | v106(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 47.17/29.63 inference(quant_intro,[status(thm)],[342])).
% 47.17/29.63 tff(344,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v107(VarCurr))) | v106(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 47.17/29.63 tff(345,plain,
% 47.17/29.63 (![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[344, 343])).
% 47.17/29.63 tff(346,plain,
% 47.17/29.63 (![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[345, 341])).
% 47.17/29.63 tff(347,plain,(
% 47.17/29.63 ![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 47.17/29.63 inference(skolemize,[status(sab)],[346])).
% 47.17/29.63 tff(348,plain,
% 47.17/29.63 (![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[347, 340])).
% 47.17/29.63 tff(349,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB1) | (~v107(constB1)) | v106(constB1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB1) | (~v107(constB1)) | v106(constB1))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(350,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB1) | (~v107(constB1)) | v106(constB1))),
% 47.17/29.63 inference(quant_inst,[status(thm)],[])).
% 47.17/29.63 tff(351,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB1) | (~v107(constB1)) | v106(constB1)),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[350, 349])).
% 47.17/29.63 tff(352,plain,
% 47.17/29.63 (v26(constB1) | v106(constB1)),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[351, 348, 338])).
% 47.17/29.63 tff(353,plain,
% 47.17/29.63 (v106(constB1)),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[352, 260])).
% 47.17/29.63 tff(354,plain,
% 47.17/29.63 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ((~v113(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(355,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.17/29.63 inference(quant_intro,[status(thm)],[354])).
% 47.17/29.63 tff(356,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(357,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_3')).
% 47.17/29.63 tff(358,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[357, 356])).
% 47.17/29.63 tff(359,plain,(
% 47.17/29.63 ![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.17/29.63 inference(skolemize,[status(sab)],[358])).
% 47.17/29.63 tff(360,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[359, 355])).
% 47.17/29.63 tff(361,plain,
% 47.17/29.63 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB1)) | v124(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB1)) | v124(constB1, bitIndex2))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(362,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB1)) | v124(constB1, bitIndex2))),
% 47.17/29.63 inference(quant_inst,[status(thm)],[])).
% 47.17/29.63 tff(363,plain,
% 47.17/29.63 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB1)) | v124(constB1, bitIndex2)),
% 47.17/29.63 inference(modus_ponens,[status(thm)],[362, 361])).
% 47.17/29.63 tff(364,plain,
% 47.17/29.63 (v124(constB1, bitIndex2)),
% 47.17/29.63 inference(unit_resolution,[status(thm)],[363, 360, 212])).
% 47.17/29.63 tff(365,plain,
% 47.17/29.63 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(366,plain,
% 47.17/29.63 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 47.17/29.63 inference(quant_intro,[status(thm)],[365])).
% 47.17/29.63 tff(367,plain,
% 47.17/29.63 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 47.17/29.63 inference(rewrite,[status(thm)],[])).
% 47.17/29.63 tff(368,plain,
% 47.17/29.63 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v124(VarCurr, bitIndex2))) | v121(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)))),
% 47.17/29.63 inference(bind,[status(th)],[])).
% 47.17/29.63 tff(369,plain,
% 47.17/29.63 (![VarCurr: state_type] : ((v26(VarCurr) | (~v124(VarCurr, bitIndex2))) | v121(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 47.17/29.64 inference(quant_intro,[status(thm)],[368])).
% 47.17/29.64 tff(370,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v124(VarCurr, bitIndex2))) | v121(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 47.17/29.64 tff(371,plain,
% 47.17/29.64 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[370, 369])).
% 47.17/29.64 tff(372,plain,
% 47.17/29.64 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[371, 367])).
% 47.17/29.64 tff(373,plain,(
% 47.17/29.64 ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 47.17/29.64 inference(skolemize,[status(sab)],[372])).
% 47.17/29.64 tff(374,plain,
% 47.17/29.64 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[373, 366])).
% 47.17/29.64 tff(375,plain,
% 47.17/29.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB1) | (~v124(constB1, bitIndex2)) | v121(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB1) | (~v124(constB1, bitIndex2)) | v121(constB1, bitIndex2))),
% 47.17/29.64 inference(rewrite,[status(thm)],[])).
% 47.17/29.64 tff(376,plain,
% 47.17/29.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB1) | (~v124(constB1, bitIndex2)) | v121(constB1, bitIndex2))),
% 47.17/29.64 inference(quant_inst,[status(thm)],[])).
% 47.17/29.64 tff(377,plain,
% 47.17/29.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB1) | (~v124(constB1, bitIndex2)) | v121(constB1, bitIndex2)),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[376, 375])).
% 47.17/29.64 tff(378,plain,
% 47.17/29.64 (v26(constB1) | v121(constB1, bitIndex2)),
% 47.17/29.64 inference(unit_resolution,[status(thm)],[377, 374, 364])).
% 47.17/29.64 tff(379,plain,
% 47.17/29.64 (v121(constB1, bitIndex2)),
% 47.17/29.64 inference(unit_resolution,[status(thm)],[378, 260])).
% 47.17/29.64 tff(380,plain,
% 47.17/29.64 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)))),
% 47.17/29.64 inference(bind,[status(th)],[])).
% 47.17/29.64 tff(381,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 47.17/29.64 inference(quant_intro,[status(thm)],[380])).
% 47.17/29.64 tff(382,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 47.17/29.64 inference(rewrite,[status(thm)],[])).
% 47.17/29.64 tff(383,plain,
% 47.17/29.64 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2))) | v123(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)))),
% 47.17/29.64 inference(bind,[status(th)],[])).
% 47.17/29.64 tff(384,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2))) | v123(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 47.17/29.64 inference(quant_intro,[status(thm)],[383])).
% 47.17/29.64 tff(385,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2))) | v123(VarNext, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 47.17/29.64 tff(386,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[385, 384])).
% 47.17/29.64 tff(387,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[386, 382])).
% 47.17/29.64 tff(388,plain,(
% 47.17/29.64 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 47.17/29.64 inference(skolemize,[status(sab)],[387])).
% 47.17/29.64 tff(389,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[388, 381])).
% 47.17/29.64 tff(390,plain,
% 47.17/29.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB1, constB2)) | (~v121(constB1, bitIndex2)) | v123(constB2, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB1, constB2)) | (~v121(constB1, bitIndex2)) | v123(constB2, bitIndex2))),
% 47.17/29.64 inference(rewrite,[status(thm)],[])).
% 47.17/29.64 tff(391,plain,
% 47.17/29.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB1, constB2)) | (~v121(constB1, bitIndex2)) | v123(constB2, bitIndex2))),
% 47.17/29.64 inference(quant_inst,[status(thm)],[])).
% 47.17/29.64 tff(392,plain,
% 47.17/29.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB1, constB2)) | (~v121(constB1, bitIndex2)) | v123(constB2, bitIndex2)),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[391, 390])).
% 47.17/29.64 tff(393,plain,
% 47.17/29.64 ((~v121(constB1, bitIndex2)) | v123(constB2, bitIndex2)),
% 47.17/29.64 inference(unit_resolution,[status(thm)],[392, 389, 244])).
% 47.17/29.64 tff(394,plain,
% 47.17/29.64 (v123(constB2, bitIndex2)),
% 47.17/29.64 inference(unit_resolution,[status(thm)],[393, 379])).
% 47.17/29.64 tff(395,assumption,(~v84(constB2, bitIndex2)), introduced(assumption)).
% 47.17/29.64 tff(396,plain,
% 47.17/29.64 (^[VarNext: state_type] : refl((v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))) <=> (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))))),
% 47.17/29.64 inference(bind,[status(th)],[])).
% 47.17/29.64 tff(397,plain,
% 47.17/29.64 (![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 47.17/29.64 inference(quant_intro,[status(thm)],[396])).
% 47.17/29.64 tff(398,plain,
% 47.17/29.64 (![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 47.17/29.64 inference(rewrite,[status(thm)],[])).
% 47.17/29.64 tff(399,plain,
% 47.17/29.64 (^[VarNext: state_type] : rewrite((((~v94(VarNext)) | (~v123(VarNext, bitIndex2))) | v84(VarNext, bitIndex2)) <=> (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))))),
% 47.17/29.64 inference(bind,[status(th)],[])).
% 47.17/29.64 tff(400,plain,
% 47.17/29.64 (![VarNext: state_type] : (((~v94(VarNext)) | (~v123(VarNext, bitIndex2))) | v84(VarNext, bitIndex2)) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 47.17/29.64 inference(quant_intro,[status(thm)],[399])).
% 47.17/29.64 tff(401,axiom,(![VarNext: state_type] : (((~v94(VarNext)) | (~v123(VarNext, bitIndex2))) | v84(VarNext, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 47.17/29.64 tff(402,plain,
% 47.17/29.64 (![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[401, 400])).
% 47.17/29.64 tff(403,plain,
% 47.17/29.64 (![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[402, 398])).
% 47.17/29.64 tff(404,plain,(
% 47.17/29.64 ![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 47.17/29.64 inference(skolemize,[status(sab)],[403])).
% 47.17/29.64 tff(405,plain,
% 47.17/29.64 (![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[404, 397])).
% 47.17/29.64 tff(406,plain,
% 47.17/29.64 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~v123(constB2, bitIndex2)) | (~v94(constB2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB2, bitIndex2) | (~v123(constB2, bitIndex2)) | (~v94(constB2)))),
% 47.17/29.64 inference(rewrite,[status(thm)],[])).
% 47.17/29.64 tff(407,plain,
% 47.17/29.64 ((v84(constB2, bitIndex2) | (~v94(constB2)) | (~v123(constB2, bitIndex2))) <=> (v84(constB2, bitIndex2) | (~v123(constB2, bitIndex2)) | (~v94(constB2)))),
% 47.17/29.64 inference(rewrite,[status(thm)],[])).
% 47.17/29.64 tff(408,plain,
% 47.17/29.64 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~v94(constB2)) | (~v123(constB2, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~v123(constB2, bitIndex2)) | (~v94(constB2))))),
% 47.17/29.64 inference(monotonicity,[status(thm)],[407])).
% 47.17/29.64 tff(409,plain,
% 47.17/29.64 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~v94(constB2)) | (~v123(constB2, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB2, bitIndex2) | (~v123(constB2, bitIndex2)) | (~v94(constB2)))),
% 47.17/29.64 inference(transitivity,[status(thm)],[408, 406])).
% 47.17/29.64 tff(410,plain,
% 47.17/29.64 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~v94(constB2)) | (~v123(constB2, bitIndex2)))),
% 47.17/29.64 inference(quant_inst,[status(thm)],[])).
% 47.17/29.64 tff(411,plain,
% 47.17/29.64 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB2, bitIndex2) | (~v123(constB2, bitIndex2)) | (~v94(constB2))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[410, 409])).
% 47.17/29.64 tff(412,plain,
% 47.17/29.64 ((~v123(constB2, bitIndex2)) | (~v94(constB2))),
% 47.17/29.64 inference(unit_resolution,[status(thm)],[411, 405, 395])).
% 47.17/29.64 tff(413,plain,
% 47.17/29.64 (~v94(constB2)),
% 47.17/29.64 inference(unit_resolution,[status(thm)],[412, 394])).
% 47.17/29.64 tff(414,plain,
% 47.17/29.64 (^[VarNext: state_type, VarCurr: state_type] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))))),
% 47.17/29.64 inference(bind,[status(th)],[])).
% 47.17/29.64 tff(415,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 47.17/29.64 inference(quant_intro,[status(thm)],[414])).
% 47.17/29.64 tff(416,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 47.17/29.64 inference(rewrite,[status(thm)],[])).
% 47.17/29.64 tff(417,plain,
% 47.17/29.64 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v98(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) | v1(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) | v1(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))))),
% 47.17/29.64 inference(bind,[status(th)],[])).
% 47.17/29.64 tff(418,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) | v1(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 47.17/29.64 inference(quant_intro,[status(thm)],[417])).
% 47.17/29.64 tff(419,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 47.17/29.64 tff(420,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[419, 418])).
% 47.17/29.64 tff(421,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[420, 416])).
% 47.17/29.64 tff(422,plain,(
% 47.17/29.64 ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 47.17/29.64 inference(skolemize,[status(sab)],[421])).
% 47.17/29.64 tff(423,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[422, 415])).
% 47.17/29.64 tff(424,plain,
% 47.17/29.64 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2)))),
% 47.17/29.64 inference(rewrite,[status(thm)],[])).
% 47.17/29.64 tff(425,plain,
% 47.17/29.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2)))),
% 47.17/29.64 inference(quant_inst,[status(thm)],[])).
% 47.17/29.64 tff(426,plain,
% 47.17/29.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[425, 424])).
% 47.17/29.64 tff(427,plain,
% 47.17/29.64 (~v98(constB2)),
% 47.17/29.64 inference(unit_resolution,[status(thm)],[426, 423, 244, 97])).
% 47.17/29.64 tff(428,plain,
% 47.17/29.64 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)))),
% 47.17/29.64 inference(bind,[status(th)],[])).
% 47.17/29.64 tff(429,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 47.17/29.64 inference(quant_intro,[status(thm)],[428])).
% 47.17/29.64 tff(430,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 47.17/29.64 inference(rewrite,[status(thm)],[])).
% 47.17/29.64 tff(431,plain,
% 47.17/29.64 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v96(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext))), ((((~nextState(VarCurr, VarNext)) | v96(VarNext)) | v98(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | v96(VarNext)) | v98(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | v96(VarNext)) | v98(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))), ((((~nextState(VarCurr, VarNext)) | v96(VarNext)) | v98(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))))),
% 47.17/29.64 inference(bind,[status(th)],[])).
% 47.17/29.64 tff(432,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v96(VarNext)) | v98(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 47.17/29.64 inference(quant_intro,[status(thm)],[431])).
% 47.17/29.64 tff(433,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v96(VarNext)) | v98(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 47.17/29.64 tff(434,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[433, 432])).
% 47.17/29.64 tff(435,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[434, 430])).
% 47.17/29.64 tff(436,plain,(
% 47.17/29.64 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 47.17/29.64 inference(skolemize,[status(sab)],[435])).
% 47.17/29.64 tff(437,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[436, 429])).
% 47.17/29.64 tff(438,plain,
% 47.17/29.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB1, constB2)) | v96(constB2) | v98(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB1, constB2)) | v96(constB2) | v98(constB2))),
% 47.17/29.64 inference(rewrite,[status(thm)],[])).
% 47.17/29.64 tff(439,plain,
% 47.17/29.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB1, constB2)) | v96(constB2) | v98(constB2))),
% 47.17/29.64 inference(quant_inst,[status(thm)],[])).
% 47.17/29.64 tff(440,plain,
% 47.17/29.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB1, constB2)) | v96(constB2) | v98(constB2)),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[439, 438])).
% 47.17/29.64 tff(441,plain,
% 47.17/29.64 (v96(constB2) | v98(constB2)),
% 47.17/29.64 inference(unit_resolution,[status(thm)],[440, 437, 244])).
% 47.17/29.64 tff(442,plain,
% 47.17/29.64 (v96(constB2)),
% 47.17/29.64 inference(unit_resolution,[status(thm)],[441, 427])).
% 47.17/29.64 tff(443,plain,
% 47.17/29.64 (v1(constB2) <=> v1(constB2)),
% 47.17/29.64 inference(rewrite,[status(thm)],[])).
% 47.17/29.64 tff(444,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 47.17/29.64 tff(445,plain,
% 47.17/29.64 (v1(constB2)),
% 47.17/29.64 inference(modus_ponens,[status(thm)],[444, 443])).
% 47.17/29.64 tff(446,plain,
% 47.17/29.64 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))))),
% 47.17/29.64 inference(bind,[status(th)],[])).
% 47.17/29.64 tff(447,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 47.17/29.64 inference(quant_intro,[status(thm)],[446])).
% 47.17/29.64 tff(448,plain,
% 47.17/29.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 47.17/29.64 inference(rewrite,[status(thm)],[])).
% 47.17/29.64 tff(449,plain,
% 47.17/29.64 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v96(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v96(VarNext)) | (~v1(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v96(VarNext)) | (~v1(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) | v95(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v96(VarNext)) | (~v1(VarNext))) | v95(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v96(VarNext)) | (~v1(VarNext))) | v95(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))), (((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) | v95(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))))),
% 47.17/29.65 inference(bind,[status(th)],[])).
% 47.17/29.65 tff(450,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) | v95(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 47.17/29.65 inference(quant_intro,[status(thm)],[449])).
% 47.17/29.65 tff(451,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) | v95(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 47.17/29.65 tff(452,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[451, 450])).
% 47.17/29.65 tff(453,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[452, 448])).
% 47.17/29.65 tff(454,plain,(
% 47.17/29.65 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 47.17/29.65 inference(skolemize,[status(sab)],[453])).
% 47.17/29.65 tff(455,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[454, 447])).
% 47.17/29.65 tff(456,plain,
% 47.17/29.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2)))),
% 47.17/29.65 inference(rewrite,[status(thm)],[])).
% 47.17/29.65 tff(457,plain,
% 47.17/29.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2)))),
% 47.17/29.65 inference(quant_inst,[status(thm)],[])).
% 47.17/29.65 tff(458,plain,
% 47.17/29.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[457, 456])).
% 47.17/29.65 tff(459,plain,
% 47.17/29.65 (v95(constB2) | (~v96(constB2))),
% 47.17/29.65 inference(unit_resolution,[status(thm)],[458, 455, 244, 445])).
% 47.17/29.65 tff(460,plain,
% 47.17/29.65 (v95(constB2)),
% 47.17/29.65 inference(unit_resolution,[status(thm)],[459, 442])).
% 47.17/29.65 tff(461,plain,
% 47.17/29.65 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)))),
% 47.17/29.65 inference(bind,[status(th)],[])).
% 47.17/29.65 tff(462,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 47.17/29.65 inference(quant_intro,[status(thm)],[461])).
% 47.17/29.65 tff(463,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 47.17/29.65 inference(rewrite,[status(thm)],[])).
% 47.17/29.65 tff(464,plain,
% 47.17/29.65 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) | v94(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext))) | v94(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext))) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))), (((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))))),
% 47.17/29.65 inference(bind,[status(th)],[])).
% 47.17/29.65 tff(465,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) | v94(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 47.17/29.65 inference(quant_intro,[status(thm)],[464])).
% 47.17/29.65 tff(466,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) | v94(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 47.17/29.65 tff(467,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[466, 465])).
% 47.17/29.65 tff(468,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[467, 463])).
% 47.17/29.65 tff(469,plain,(
% 47.17/29.65 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 47.17/29.65 inference(skolemize,[status(sab)],[468])).
% 47.17/29.65 tff(470,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[469, 462])).
% 47.17/29.65 tff(471,plain,
% 47.17/29.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))),
% 47.17/29.65 inference(rewrite,[status(thm)],[])).
% 47.17/29.65 tff(472,plain,
% 47.17/29.65 (((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2)) <=> ((~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))),
% 47.17/29.65 inference(rewrite,[status(thm)],[])).
% 47.17/29.65 tff(473,plain,
% 47.17/29.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2))))),
% 47.17/29.65 inference(monotonicity,[status(thm)],[472])).
% 47.17/29.65 tff(474,plain,
% 47.17/29.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))),
% 47.17/29.65 inference(transitivity,[status(thm)],[473, 471])).
% 47.17/29.65 tff(475,plain,
% 47.17/29.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2))),
% 47.17/29.65 inference(quant_inst,[status(thm)],[])).
% 47.17/29.65 tff(476,plain,
% 47.17/29.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[475, 474])).
% 47.17/29.65 tff(477,plain,
% 47.17/29.65 (v94(constB2) | (~v95(constB2)) | (~v104(constB2))),
% 47.17/29.65 inference(unit_resolution,[status(thm)],[476, 470, 244])).
% 47.17/29.65 tff(478,plain,
% 47.17/29.65 (v94(constB2) | (~v104(constB2))),
% 47.17/29.65 inference(unit_resolution,[status(thm)],[477, 460])).
% 47.17/29.65 tff(479,plain,
% 47.17/29.65 (~v104(constB2)),
% 47.17/29.65 inference(unit_resolution,[status(thm)],[478, 413])).
% 47.17/29.65 tff(480,plain,
% 47.17/29.65 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)))),
% 47.17/29.65 inference(bind,[status(th)],[])).
% 47.17/29.65 tff(481,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 47.17/29.65 inference(quant_intro,[status(thm)],[480])).
% 47.17/29.65 tff(482,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 47.17/29.65 inference(rewrite,[status(thm)],[])).
% 47.17/29.65 tff(483,plain,
% 47.17/29.65 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) | v104(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) | v104(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))))),
% 47.17/29.65 inference(bind,[status(th)],[])).
% 47.17/29.65 tff(484,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 47.17/29.65 inference(quant_intro,[status(thm)],[483])).
% 47.17/29.65 tff(485,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) | v104(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 47.17/29.65 tff(486,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[485, 484])).
% 47.17/29.65 tff(487,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[486, 482])).
% 47.17/29.65 tff(488,plain,(
% 47.17/29.65 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 47.17/29.65 inference(skolemize,[status(sab)],[487])).
% 47.17/29.65 tff(489,plain,
% 47.17/29.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[488, 481])).
% 47.17/29.65 tff(490,plain,
% 47.17/29.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))),
% 47.17/29.65 inference(rewrite,[status(thm)],[])).
% 47.17/29.65 tff(491,plain,
% 47.17/29.65 (((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2)) <=> ((~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))),
% 47.17/29.65 inference(rewrite,[status(thm)],[])).
% 47.17/29.65 tff(492,plain,
% 47.17/29.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1))))),
% 47.17/29.65 inference(monotonicity,[status(thm)],[491])).
% 47.17/29.65 tff(493,plain,
% 47.17/29.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))),
% 47.17/29.65 inference(transitivity,[status(thm)],[492, 490])).
% 47.17/29.65 tff(494,plain,
% 47.17/29.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2))),
% 47.17/29.65 inference(quant_inst,[status(thm)],[])).
% 47.17/29.65 tff(495,plain,
% 47.17/29.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[494, 493])).
% 47.17/29.65 tff(496,plain,
% 47.17/29.65 (v104(constB2) | (~v102(constB1))),
% 47.17/29.65 inference(unit_resolution,[status(thm)],[495, 489, 244])).
% 47.17/29.65 tff(497,plain,
% 47.17/29.65 (~v102(constB1)),
% 47.17/29.65 inference(unit_resolution,[status(thm)],[496, 479])).
% 47.17/29.65 tff(498,plain,
% 47.17/29.65 (^[VarCurr: state_type] : refl(((~v106(VarCurr)) | v102(VarCurr)) <=> ((~v106(VarCurr)) | v102(VarCurr)))),
% 47.17/29.65 inference(bind,[status(th)],[])).
% 47.17/29.65 tff(499,plain,
% 47.17/29.65 (![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr)) <=> ![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))),
% 47.17/29.65 inference(quant_intro,[status(thm)],[498])).
% 47.17/29.65 tff(500,plain,
% 47.17/29.65 (![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr)) <=> ![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))),
% 47.17/29.65 inference(rewrite,[status(thm)],[])).
% 47.17/29.65 tff(501,axiom,(![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 47.17/29.65 tff(502,plain,
% 47.17/29.65 (![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[501, 500])).
% 47.17/29.65 tff(503,plain,(
% 47.17/29.65 ![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))),
% 47.17/29.65 inference(skolemize,[status(sab)],[502])).
% 47.17/29.65 tff(504,plain,
% 47.17/29.65 (![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[503, 499])).
% 47.17/29.65 tff(505,plain,
% 47.17/29.65 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB1) | (~v106(constB1)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB1) | (~v106(constB1)))),
% 47.17/29.65 inference(rewrite,[status(thm)],[])).
% 47.17/29.65 tff(506,plain,
% 47.17/29.65 (((~v106(constB1)) | v102(constB1)) <=> (v102(constB1) | (~v106(constB1)))),
% 47.17/29.65 inference(rewrite,[status(thm)],[])).
% 47.17/29.65 tff(507,plain,
% 47.17/29.65 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB1)) | v102(constB1))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB1) | (~v106(constB1))))),
% 47.17/29.65 inference(monotonicity,[status(thm)],[506])).
% 47.17/29.65 tff(508,plain,
% 47.17/29.65 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB1)) | v102(constB1))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB1) | (~v106(constB1)))),
% 47.17/29.65 inference(transitivity,[status(thm)],[507, 505])).
% 47.17/29.65 tff(509,plain,
% 47.17/29.65 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB1)) | v102(constB1))),
% 47.17/29.65 inference(quant_inst,[status(thm)],[])).
% 47.17/29.65 tff(510,plain,
% 47.17/29.65 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB1) | (~v106(constB1))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[509, 508])).
% 47.17/29.65 tff(511,plain,
% 47.17/29.65 ($false),
% 47.17/29.65 inference(unit_resolution,[status(thm)],[510, 504, 497, 353])).
% 47.17/29.65 tff(512,plain,(v26(constB1) | v84(constB2, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 47.17/29.65 tff(513,plain,
% 47.17/29.65 (v84(constB2, bitIndex2)),
% 47.17/29.65 inference(unit_resolution,[status(thm)],[512, 94])).
% 47.17/29.65 tff(514,plain,
% 47.17/29.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB1, bitIndex2) | (~nextState(constB1, constB2)) | v94(constB2) | (~v84(constB2, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB1, bitIndex2) | (~nextState(constB1, constB2)) | v94(constB2) | (~v84(constB2, bitIndex2)))),
% 47.17/29.65 inference(rewrite,[status(thm)],[])).
% 47.17/29.65 tff(515,plain,
% 47.17/29.65 (((~nextState(constB1, constB2)) | v84(constB1, bitIndex2) | v94(constB2) | (~v84(constB2, bitIndex2))) <=> (v84(constB1, bitIndex2) | (~nextState(constB1, constB2)) | v94(constB2) | (~v84(constB2, bitIndex2)))),
% 47.17/29.65 inference(rewrite,[status(thm)],[])).
% 47.17/29.65 tff(516,plain,
% 47.17/29.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v84(constB1, bitIndex2) | v94(constB2) | (~v84(constB2, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB1, bitIndex2) | (~nextState(constB1, constB2)) | v94(constB2) | (~v84(constB2, bitIndex2))))),
% 47.17/29.65 inference(monotonicity,[status(thm)],[515])).
% 47.17/29.65 tff(517,plain,
% 47.17/29.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v84(constB1, bitIndex2) | v94(constB2) | (~v84(constB2, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB1, bitIndex2) | (~nextState(constB1, constB2)) | v94(constB2) | (~v84(constB2, bitIndex2)))),
% 47.17/29.65 inference(transitivity,[status(thm)],[516, 514])).
% 47.17/29.65 tff(518,plain,
% 47.17/29.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v84(constB1, bitIndex2) | v94(constB2) | (~v84(constB2, bitIndex2)))),
% 47.17/29.65 inference(quant_inst,[status(thm)],[])).
% 47.17/29.65 tff(519,plain,
% 47.17/29.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB1, bitIndex2) | (~nextState(constB1, constB2)) | v94(constB2) | (~v84(constB2, bitIndex2))),
% 47.17/29.65 inference(modus_ponens,[status(thm)],[518, 517])).
% 47.17/29.65 tff(520,plain,
% 47.17/29.65 (v84(constB1, bitIndex2) | v94(constB2) | (~v84(constB2, bitIndex2))),
% 47.17/29.65 inference(unit_resolution,[status(thm)],[519, 142, 244])).
% 47.17/29.65 tff(521,plain,
% 47.17/29.65 (v94(constB2) | (~v84(constB2, bitIndex2))),
% 47.17/29.65 inference(unit_resolution,[status(thm)],[520, 153])).
% 47.17/29.65 tff(522,plain,
% 47.17/29.65 (v94(constB2)),
% 47.17/29.65 inference(unit_resolution,[status(thm)],[521, 513])).
% 47.17/29.66 tff(523,plain,
% 47.17/29.66 (^[VarNext: state_type] : refl(((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)) <=> ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)))),
% 47.17/29.66 inference(bind,[status(th)],[])).
% 47.17/29.66 tff(524,plain,
% 47.17/29.66 (![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 47.17/29.66 inference(quant_intro,[status(thm)],[523])).
% 47.17/29.66 tff(525,plain,
% 47.17/29.66 (![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(526,plain,
% 47.17/29.66 (^[VarNext: state_type] : rewrite((((~v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v123(VarNext, bitIndex1)) <=> ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)))),
% 47.17/29.66 inference(bind,[status(th)],[])).
% 47.17/29.66 tff(527,plain,
% 47.17/29.66 (![VarNext: state_type] : (((~v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v123(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 47.17/29.66 inference(quant_intro,[status(thm)],[526])).
% 47.17/29.66 tff(528,axiom,(![VarNext: state_type] : (((~v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v123(VarNext, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 47.17/29.66 tff(529,plain,
% 47.17/29.66 (![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 47.17/29.66 inference(modus_ponens,[status(thm)],[528, 527])).
% 47.17/29.66 tff(530,plain,
% 47.17/29.66 (![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 47.17/29.66 inference(modus_ponens,[status(thm)],[529, 525])).
% 47.17/29.66 tff(531,plain,(
% 47.17/29.66 ![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 47.17/29.66 inference(skolemize,[status(sab)],[530])).
% 47.17/29.66 tff(532,plain,
% 47.17/29.66 (![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 47.17/29.66 inference(modus_ponens,[status(thm)],[531, 524])).
% 47.17/29.66 tff(533,plain,
% 47.17/29.66 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(534,plain,
% 47.17/29.66 (((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1)) <=> ((~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(535,plain,
% 47.17/29.66 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2))))),
% 47.17/29.66 inference(monotonicity,[status(thm)],[534])).
% 47.17/29.66 tff(536,plain,
% 47.17/29.66 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))),
% 47.17/29.66 inference(transitivity,[status(thm)],[535, 533])).
% 47.17/29.66 tff(537,plain,
% 47.17/29.66 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1))),
% 47.17/29.66 inference(quant_inst,[status(thm)],[])).
% 47.17/29.66 tff(538,plain,
% 47.17/29.66 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2))),
% 47.17/29.66 inference(modus_ponens,[status(thm)],[537, 536])).
% 47.17/29.66 tff(539,plain,
% 47.17/29.66 (~v84(constB2, bitIndex1)),
% 47.17/29.66 inference(unit_resolution,[status(thm)],[538, 532, 522, 259])).
% 47.17/29.66 tff(540,plain,
% 47.17/29.66 ((~v1(constB3)) <=> (~v1(constB3))),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(541,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 47.17/29.66 tff(542,plain,
% 47.17/29.66 (~v1(constB3)),
% 47.17/29.66 inference(modus_ponens,[status(thm)],[541, 540])).
% 47.17/29.66 tff(543,plain,
% 47.17/29.66 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(544,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 47.17/29.66 tff(545,plain,
% 47.17/29.66 (nextState(constB2, constB3)),
% 47.17/29.66 inference(modus_ponens,[status(thm)],[544, 543])).
% 47.17/29.66 tff(546,plain,
% 47.17/29.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(547,plain,
% 47.17/29.66 (((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(548,plain,
% 47.17/29.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3))))),
% 47.17/29.66 inference(monotonicity,[status(thm)],[547])).
% 47.17/29.66 tff(549,plain,
% 47.17/29.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))),
% 47.17/29.66 inference(transitivity,[status(thm)],[548, 546])).
% 47.17/29.66 tff(550,plain,
% 47.17/29.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3))),
% 47.17/29.66 inference(quant_inst,[status(thm)],[])).
% 47.17/29.66 tff(551,plain,
% 47.17/29.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3))),
% 47.17/29.66 inference(modus_ponens,[status(thm)],[550, 549])).
% 47.17/29.66 tff(552,plain,
% 47.17/29.66 (~v95(constB3)),
% 47.17/29.66 inference(unit_resolution,[status(thm)],[551, 110, 545, 542])).
% 47.17/29.66 tff(553,plain,
% 47.17/29.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3)))),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(554,plain,
% 47.17/29.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3)))),
% 47.17/29.66 inference(quant_inst,[status(thm)],[])).
% 47.17/29.66 tff(555,plain,
% 47.17/29.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3))),
% 47.17/29.66 inference(modus_ponens,[status(thm)],[554, 553])).
% 47.17/29.66 tff(556,plain,
% 47.17/29.66 (v95(constB3) | (~v94(constB3))),
% 47.17/29.66 inference(unit_resolution,[status(thm)],[555, 127, 545])).
% 47.17/29.66 tff(557,plain,
% 47.17/29.66 (~v94(constB3)),
% 47.17/29.66 inference(unit_resolution,[status(thm)],[556, 552])).
% 47.17/29.66 tff(558,plain,
% 47.17/29.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(559,plain,
% 47.17/29.66 (((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1))) <=> (v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(560,plain,
% 47.17/29.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1))))),
% 47.17/29.66 inference(monotonicity,[status(thm)],[559])).
% 47.17/29.66 tff(561,plain,
% 47.17/29.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 47.17/29.66 inference(transitivity,[status(thm)],[560, 558])).
% 47.17/29.66 tff(562,plain,
% 47.17/29.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 47.17/29.66 inference(quant_inst,[status(thm)],[])).
% 47.17/29.66 tff(563,plain,
% 47.17/29.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1))),
% 47.17/29.66 inference(modus_ponens,[status(thm)],[562, 561])).
% 47.17/29.66 tff(564,plain,
% 47.17/29.66 (v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1))),
% 47.17/29.66 inference(unit_resolution,[status(thm)],[563, 163, 545])).
% 47.17/29.66 tff(565,plain,
% 47.17/29.66 (v84(constB2, bitIndex1) | (~v84(constB3, bitIndex1))),
% 47.17/29.66 inference(unit_resolution,[status(thm)],[564, 557])).
% 47.17/29.66 tff(566,plain,
% 47.17/29.66 (~v84(constB3, bitIndex1)),
% 47.17/29.66 inference(unit_resolution,[status(thm)],[565, 539])).
% 47.17/29.66 tff(567,plain,
% 47.17/29.66 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)))),
% 47.17/29.66 inference(bind,[status(th)],[])).
% 47.17/29.66 tff(568,plain,
% 47.17/29.66 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 47.17/29.66 inference(quant_intro,[status(thm)],[567])).
% 47.17/29.66 tff(569,plain,
% 47.17/29.66 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(570,plain,
% 47.17/29.66 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) | v84(VarNext, bitIndex2)) <=> (((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext)) | v84(VarNext, bitIndex2)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext)) | v84(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) | v84(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))))),
% 47.17/29.66 inference(bind,[status(th)],[])).
% 47.17/29.66 tff(571,plain,
% 47.17/29.66 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) | v84(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 47.17/29.66 inference(quant_intro,[status(thm)],[570])).
% 47.17/29.66 tff(572,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) | v84(VarNext, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_5')).
% 47.17/29.66 tff(573,plain,
% 47.17/29.66 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 47.17/29.66 inference(modus_ponens,[status(thm)],[572, 571])).
% 47.17/29.66 tff(574,plain,
% 47.17/29.66 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 47.17/29.66 inference(modus_ponens,[status(thm)],[573, 569])).
% 47.17/29.66 tff(575,plain,(
% 47.17/29.66 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 47.17/29.66 inference(skolemize,[status(sab)],[574])).
% 47.17/29.66 tff(576,plain,
% 47.17/29.66 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 47.17/29.66 inference(modus_ponens,[status(thm)],[575, 568])).
% 47.17/29.66 tff(577,plain,
% 47.17/29.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex2))),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(578,plain,
% 47.17/29.66 (((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex2)) | v94(constB3) | v84(constB3, bitIndex2)) <=> ((~v84(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex2))),
% 47.17/29.66 inference(rewrite,[status(thm)],[])).
% 47.17/29.66 tff(579,plain,
% 47.17/29.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex2)) | v94(constB3) | v84(constB3, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex2)))),
% 47.17/29.67 inference(monotonicity,[status(thm)],[578])).
% 47.17/29.67 tff(580,plain,
% 47.17/29.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex2)) | v94(constB3) | v84(constB3, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex2))),
% 47.17/29.67 inference(transitivity,[status(thm)],[579, 577])).
% 47.17/29.67 tff(581,plain,
% 47.17/29.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex2)) | v94(constB3) | v84(constB3, bitIndex2))),
% 47.17/29.67 inference(quant_inst,[status(thm)],[])).
% 47.17/29.67 tff(582,plain,
% 47.17/29.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex2)),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[581, 580])).
% 47.17/29.67 tff(583,plain,
% 47.17/29.67 ((~v84(constB2, bitIndex2)) | v94(constB3) | v84(constB3, bitIndex2)),
% 47.17/29.67 inference(unit_resolution,[status(thm)],[582, 576, 545])).
% 47.17/29.67 tff(584,plain,
% 47.17/29.67 ((~v84(constB2, bitIndex2)) | v84(constB3, bitIndex2)),
% 47.17/29.67 inference(unit_resolution,[status(thm)],[583, 557])).
% 47.17/29.67 tff(585,plain,
% 47.17/29.67 (v84(constB3, bitIndex2)),
% 47.17/29.67 inference(unit_resolution,[status(thm)],[584, 513])).
% 47.17/29.67 tff(586,assumption,(v121(constB1, bitIndex0)), introduced(assumption)).
% 47.17/29.67 tff(587,plain,
% 47.17/29.67 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 47.17/29.67 inference(bind,[status(th)],[])).
% 47.17/29.67 tff(588,plain,
% 47.17/29.67 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(quant_intro,[status(thm)],[587])).
% 47.17/29.67 tff(589,plain,
% 47.17/29.67 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(rewrite,[status(thm)],[])).
% 47.17/29.67 tff(590,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_1')).
% 47.17/29.67 tff(591,plain,
% 47.17/29.67 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[590, 589])).
% 47.17/29.67 tff(592,plain,(
% 47.17/29.67 ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(skolemize,[status(sab)],[591])).
% 47.17/29.67 tff(593,plain,
% 47.17/29.67 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[592, 588])).
% 47.17/29.67 tff(594,plain,
% 47.17/29.67 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v113(constB1)) | (~v124(constB1, bitIndex0)))),
% 47.17/29.67 inference(rewrite,[status(thm)],[])).
% 47.17/29.67 tff(595,plain,
% 47.17/29.67 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex0)))),
% 47.17/29.67 inference(quant_inst,[status(thm)],[])).
% 47.17/29.67 tff(596,plain,
% 47.17/29.67 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v113(constB1)) | (~v124(constB1, bitIndex0))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[595, 594])).
% 47.17/29.67 tff(597,plain,
% 47.17/29.67 (~v124(constB1, bitIndex0)),
% 47.17/29.67 inference(unit_resolution,[status(thm)],[596, 593, 212])).
% 47.17/29.67 tff(598,plain,
% 47.17/29.67 (^[VarCurr: state_type] : refl((v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))))),
% 47.17/29.67 inference(bind,[status(th)],[])).
% 47.17/29.67 tff(599,plain,
% 47.17/29.67 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(quant_intro,[status(thm)],[598])).
% 47.17/29.67 tff(600,plain,
% 47.17/29.67 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(rewrite,[status(thm)],[])).
% 47.17/29.67 tff(601,plain,
% 47.17/29.67 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v121(VarCurr, bitIndex0))) | v124(VarCurr, bitIndex0)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))))),
% 47.17/29.67 inference(bind,[status(th)],[])).
% 47.17/29.67 tff(602,plain,
% 47.17/29.67 (![VarCurr: state_type] : ((v26(VarCurr) | (~v121(VarCurr, bitIndex0))) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(quant_intro,[status(thm)],[601])).
% 47.17/29.67 tff(603,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v121(VarCurr, bitIndex0))) | v124(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 47.17/29.67 tff(604,plain,
% 47.17/29.67 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[603, 602])).
% 47.17/29.67 tff(605,plain,
% 47.17/29.67 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[604, 600])).
% 47.17/29.67 tff(606,plain,(
% 47.17/29.67 ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(skolemize,[status(sab)],[605])).
% 47.17/29.67 tff(607,plain,
% 47.17/29.67 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[606, 599])).
% 47.17/29.67 tff(608,plain,
% 47.17/29.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB1, bitIndex0)) | v26(constB1) | v124(constB1, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB1, bitIndex0)) | v26(constB1) | v124(constB1, bitIndex0))),
% 47.17/29.67 inference(rewrite,[status(thm)],[])).
% 47.17/29.67 tff(609,plain,
% 47.17/29.67 ((v26(constB1) | v124(constB1, bitIndex0) | (~v121(constB1, bitIndex0))) <=> ((~v121(constB1, bitIndex0)) | v26(constB1) | v124(constB1, bitIndex0))),
% 47.17/29.67 inference(rewrite,[status(thm)],[])).
% 47.17/29.67 tff(610,plain,
% 47.17/29.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB1) | v124(constB1, bitIndex0) | (~v121(constB1, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB1, bitIndex0)) | v26(constB1) | v124(constB1, bitIndex0)))),
% 47.17/29.67 inference(monotonicity,[status(thm)],[609])).
% 47.17/29.67 tff(611,plain,
% 47.17/29.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB1) | v124(constB1, bitIndex0) | (~v121(constB1, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB1, bitIndex0)) | v26(constB1) | v124(constB1, bitIndex0))),
% 47.17/29.67 inference(transitivity,[status(thm)],[610, 608])).
% 47.17/29.67 tff(612,plain,
% 47.17/29.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB1) | v124(constB1, bitIndex0) | (~v121(constB1, bitIndex0)))),
% 47.17/29.67 inference(quant_inst,[status(thm)],[])).
% 47.17/29.67 tff(613,plain,
% 47.17/29.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB1, bitIndex0)) | v26(constB1) | v124(constB1, bitIndex0)),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[612, 611])).
% 47.17/29.67 tff(614,plain,
% 47.17/29.67 ((~v121(constB1, bitIndex0)) | v26(constB1)),
% 47.17/29.67 inference(unit_resolution,[status(thm)],[613, 607, 597])).
% 47.17/29.67 tff(615,plain,
% 47.17/29.67 (v26(constB1)),
% 47.17/29.67 inference(unit_resolution,[status(thm)],[614, 586])).
% 47.17/29.67 tff(616,plain,
% 47.17/29.67 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))) <=> ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))))),
% 47.17/29.67 inference(bind,[status(th)],[])).
% 47.17/29.67 tff(617,plain,
% 47.17/29.67 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(quant_intro,[status(thm)],[616])).
% 47.17/29.67 tff(618,plain,
% 47.17/29.67 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(rewrite,[status(thm)],[])).
% 47.17/29.67 tff(619,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 47.17/29.67 tff(620,plain,
% 47.17/29.67 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[619, 618])).
% 47.17/29.67 tff(621,plain,(
% 47.17/29.67 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(skolemize,[status(sab)],[620])).
% 47.17/29.67 tff(622,plain,
% 47.17/29.67 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[621, 617])).
% 47.17/29.67 tff(623,plain,
% 47.17/29.67 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB1)) | (~v121(constB1, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB1)) | (~v121(constB1, bitIndex0)))),
% 47.17/29.67 inference(rewrite,[status(thm)],[])).
% 47.17/29.67 tff(624,plain,
% 47.17/29.67 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB1)) | (~v121(constB1, bitIndex0)))),
% 47.17/29.67 inference(quant_inst,[status(thm)],[])).
% 47.17/29.67 tff(625,plain,
% 47.17/29.67 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB1)) | (~v121(constB1, bitIndex0))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[624, 623])).
% 47.17/29.67 tff(626,plain,
% 47.17/29.67 ($false),
% 47.17/29.67 inference(unit_resolution,[status(thm)],[625, 622, 586, 615])).
% 47.17/29.67 tff(627,plain,(~v121(constB1, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 47.17/29.67 tff(628,plain,
% 47.17/29.67 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))))),
% 47.17/29.67 inference(bind,[status(th)],[])).
% 47.17/29.67 tff(629,plain,
% 47.17/29.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 47.17/29.67 inference(quant_intro,[status(thm)],[628])).
% 47.17/29.67 tff(630,plain,
% 47.17/29.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 47.17/29.67 inference(rewrite,[status(thm)],[])).
% 47.17/29.67 tff(631,plain,
% 47.17/29.67 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex0))) | v121(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))))),
% 47.17/29.67 inference(bind,[status(th)],[])).
% 47.17/29.67 tff(632,plain,
% 47.17/29.67 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex0))) | v121(VarCurr, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 47.17/29.67 inference(quant_intro,[status(thm)],[631])).
% 47.17/29.67 tff(633,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex0))) | v121(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 47.17/29.67 tff(634,plain,
% 47.17/29.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[633, 632])).
% 47.17/29.67 tff(635,plain,
% 47.17/29.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[634, 630])).
% 47.17/29.67 tff(636,plain,(
% 47.17/29.67 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 47.17/29.67 inference(skolemize,[status(sab)],[635])).
% 47.17/29.67 tff(637,plain,
% 47.17/29.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[636, 629])).
% 47.17/29.67 tff(638,plain,
% 47.17/29.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex0) | (~v123(constB2, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex0) | (~v123(constB2, bitIndex0)))),
% 47.17/29.67 inference(rewrite,[status(thm)],[])).
% 47.17/29.67 tff(639,plain,
% 47.17/29.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex0) | (~v123(constB2, bitIndex0)))),
% 47.17/29.67 inference(quant_inst,[status(thm)],[])).
% 47.17/29.67 tff(640,plain,
% 47.17/29.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex0) | (~v123(constB2, bitIndex0))),
% 47.17/29.67 inference(modus_ponens,[status(thm)],[639, 638])).
% 47.17/29.67 tff(641,plain,
% 47.17/29.67 (v121(constB1, bitIndex0) | (~v123(constB2, bitIndex0))),
% 47.17/29.67 inference(unit_resolution,[status(thm)],[640, 637, 244])).
% 47.17/29.67 tff(642,plain,
% 47.17/29.67 (~v123(constB2, bitIndex0)),
% 47.17/29.67 inference(unit_resolution,[status(thm)],[641, 627])).
% 47.17/29.67 tff(643,plain,
% 47.17/29.67 (^[VarNext: state_type] : refl(((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)) <=> ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)))),
% 47.17/29.67 inference(bind,[status(th)],[])).
% 47.17/29.67 tff(644,plain,
% 47.17/29.67 (![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 47.17/29.67 inference(quant_intro,[status(thm)],[643])).
% 47.17/29.67 tff(645,plain,
% 47.17/29.67 (![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 47.17/29.67 inference(rewrite,[status(thm)],[])).
% 47.17/29.67 tff(646,plain,
% 47.17/29.67 (^[VarNext: state_type] : rewrite((((~v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v123(VarNext, bitIndex0)) <=> ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)))),
% 47.17/29.67 inference(bind,[status(th)],[])).
% 47.17/29.67 tff(647,plain,
% 47.17/29.67 (![VarNext: state_type] : (((~v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v123(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 47.17/29.67 inference(quant_intro,[status(thm)],[646])).
% 47.17/29.67 tff(648,axiom,(![VarNext: state_type] : (((~v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v123(VarNext, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 47.17/29.68 tff(649,plain,
% 47.17/29.68 (![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 47.17/29.68 inference(modus_ponens,[status(thm)],[648, 647])).
% 47.17/29.68 tff(650,plain,
% 47.17/29.68 (![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 47.17/29.68 inference(modus_ponens,[status(thm)],[649, 645])).
% 47.17/29.68 tff(651,plain,(
% 47.17/29.68 ![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 47.17/29.68 inference(skolemize,[status(sab)],[650])).
% 47.17/29.68 tff(652,plain,
% 47.17/29.68 (![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 47.17/29.68 inference(modus_ponens,[status(thm)],[651, 644])).
% 47.17/29.68 tff(653,plain,
% 47.17/29.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | v123(constB2, bitIndex0) | (~v94(constB2)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB2, bitIndex0)) | v123(constB2, bitIndex0) | (~v94(constB2)))),
% 47.17/29.68 inference(rewrite,[status(thm)],[])).
% 47.17/29.68 tff(654,plain,
% 47.17/29.68 (((~v84(constB2, bitIndex0)) | (~v94(constB2)) | v123(constB2, bitIndex0)) <=> ((~v84(constB2, bitIndex0)) | v123(constB2, bitIndex0) | (~v94(constB2)))),
% 47.17/29.68 inference(rewrite,[status(thm)],[])).
% 47.17/29.68 tff(655,plain,
% 47.17/29.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | (~v94(constB2)) | v123(constB2, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | v123(constB2, bitIndex0) | (~v94(constB2))))),
% 47.17/29.68 inference(monotonicity,[status(thm)],[654])).
% 47.17/29.68 tff(656,plain,
% 47.17/29.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | (~v94(constB2)) | v123(constB2, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB2, bitIndex0)) | v123(constB2, bitIndex0) | (~v94(constB2)))),
% 47.17/29.68 inference(transitivity,[status(thm)],[655, 653])).
% 47.17/29.68 tff(657,plain,
% 47.17/29.68 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | (~v94(constB2)) | v123(constB2, bitIndex0))),
% 47.17/29.68 inference(quant_inst,[status(thm)],[])).
% 47.17/29.68 tff(658,plain,
% 47.17/29.68 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB2, bitIndex0)) | v123(constB2, bitIndex0) | (~v94(constB2))),
% 47.17/29.68 inference(modus_ponens,[status(thm)],[657, 656])).
% 47.17/29.68 tff(659,plain,
% 47.17/29.68 ((~v84(constB2, bitIndex0)) | (~v94(constB2))),
% 47.17/29.68 inference(unit_resolution,[status(thm)],[658, 652, 642])).
% 47.17/29.68 tff(660,plain,
% 47.17/29.68 (~v84(constB2, bitIndex0)),
% 47.17/29.68 inference(unit_resolution,[status(thm)],[659, 522])).
% 47.17/29.68 tff(661,plain,
% 47.17/29.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex0)))),
% 47.17/29.68 inference(rewrite,[status(thm)],[])).
% 47.17/29.68 tff(662,plain,
% 47.17/29.68 (((~nextState(constB2, constB3)) | v84(constB2, bitIndex0) | v94(constB3) | (~v84(constB3, bitIndex0))) <=> (v84(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex0)))),
% 47.17/29.68 inference(rewrite,[status(thm)],[])).
% 47.17/29.68 tff(663,plain,
% 47.17/29.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex0) | v94(constB3) | (~v84(constB3, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex0))))),
% 47.23/29.68 inference(monotonicity,[status(thm)],[662])).
% 47.23/29.68 tff(664,plain,
% 47.23/29.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex0) | v94(constB3) | (~v84(constB3, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex0)))),
% 47.23/29.68 inference(transitivity,[status(thm)],[663, 661])).
% 47.23/29.68 tff(665,plain,
% 47.23/29.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex0) | v94(constB3) | (~v84(constB3, bitIndex0)))),
% 47.23/29.68 inference(quant_inst,[status(thm)],[])).
% 47.23/29.68 tff(666,plain,
% 47.23/29.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex0))),
% 47.23/29.68 inference(modus_ponens,[status(thm)],[665, 664])).
% 47.23/29.68 tff(667,plain,
% 47.23/29.68 (v84(constB2, bitIndex0) | v94(constB3) | (~v84(constB3, bitIndex0))),
% 47.23/29.68 inference(unit_resolution,[status(thm)],[666, 184, 545])).
% 47.23/29.68 tff(668,plain,
% 47.23/29.68 (v84(constB2, bitIndex0) | (~v84(constB3, bitIndex0))),
% 47.23/29.68 inference(unit_resolution,[status(thm)],[667, 557])).
% 47.23/29.68 tff(669,plain,
% 47.23/29.68 (~v84(constB3, bitIndex0)),
% 47.23/29.68 inference(unit_resolution,[status(thm)],[668, 660])).
% 47.23/29.68 tff(670,plain,
% 47.23/29.68 (^[VarCurr: state_type] : refl((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)))),
% 47.23/29.68 inference(bind,[status(th)],[])).
% 47.23/29.68 tff(671,plain,
% 47.23/29.68 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 47.23/29.68 inference(quant_intro,[status(thm)],[670])).
% 47.23/29.68 tff(672,plain,
% 47.23/29.68 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 47.23/29.68 inference(rewrite,[status(thm)],[])).
% 47.23/29.68 tff(673,plain,
% 47.23/29.68 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))), ((((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) | v172(VarCurr)) <=> ((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))) | v172(VarCurr)))), rewrite(((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))) | v172(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))), ((((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) | v172(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))))),
% 47.23/29.68 inference(bind,[status(th)],[])).
% 47.23/29.68 tff(674,plain,
% 47.23/29.68 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) | v172(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 47.23/29.68 inference(quant_intro,[status(thm)],[673])).
% 47.23/29.68 tff(675,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) | v172(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 47.23/29.68 tff(676,plain,
% 47.23/29.68 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 47.23/29.68 inference(modus_ponens,[status(thm)],[675, 674])).
% 47.23/29.68 tff(677,plain,
% 47.23/29.68 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 47.23/29.68 inference(modus_ponens,[status(thm)],[676, 672])).
% 47.23/29.68 tff(678,plain,(
% 47.23/29.68 ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 47.23/29.68 inference(skolemize,[status(sab)],[677])).
% 47.23/29.68 tff(679,plain,
% 47.23/29.68 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 47.23/29.68 inference(modus_ponens,[status(thm)],[678, 671])).
% 47.23/29.68 tff(680,plain,
% 47.23/29.68 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB3, bitIndex0) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex2)) | v172(constB3))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB3, bitIndex0) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex2)) | v172(constB3))),
% 47.23/29.68 inference(rewrite,[status(thm)],[])).
% 47.23/29.68 tff(681,plain,
% 47.23/29.68 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB3, bitIndex0) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex2)) | v172(constB3))),
% 47.23/29.68 inference(quant_inst,[status(thm)],[])).
% 47.23/29.68 tff(682,plain,
% 47.23/29.68 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB3, bitIndex0) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex2)) | v172(constB3)),
% 47.23/29.68 inference(modus_ponens,[status(thm)],[681, 680])).
% 47.23/29.68 tff(683,plain,
% 47.23/29.68 (v84(constB3, bitIndex1) | v172(constB3)),
% 47.23/29.68 inference(unit_resolution,[status(thm)],[682, 679, 669, 585])).
% 47.23/29.68 tff(684,plain,
% 47.23/29.68 (v172(constB3)),
% 47.23/29.68 inference(unit_resolution,[status(thm)],[683, 566])).
% 47.23/29.68 tff(685,plain,
% 47.23/29.68 (^[VarCurr: state_type] : refl(((~v172(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 47.23/29.68 inference(bind,[status(th)],[])).
% 47.23/29.68 tff(686,plain,
% 47.23/29.68 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.23/29.68 inference(quant_intro,[status(thm)],[685])).
% 47.23/29.68 tff(687,plain,
% 47.23/29.68 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.23/29.68 inference(rewrite,[status(thm)],[])).
% 47.23/29.68 tff(688,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_3')).
% 47.23/29.68 tff(689,plain,
% 47.23/29.68 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.23/29.68 inference(modus_ponens,[status(thm)],[688, 687])).
% 47.23/29.68 tff(690,plain,(
% 47.23/29.68 ![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.23/29.68 inference(skolemize,[status(sab)],[689])).
% 47.23/29.68 tff(691,plain,
% 47.23/29.68 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.23/29.68 inference(modus_ponens,[status(thm)],[690, 686])).
% 47.23/29.68 tff(692,plain,
% 47.23/29.68 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB3)) | v124(constB3, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB3)) | v124(constB3, bitIndex2))),
% 47.23/29.68 inference(rewrite,[status(thm)],[])).
% 47.23/29.68 tff(693,plain,
% 47.23/29.68 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB3)) | v124(constB3, bitIndex2))),
% 47.23/29.68 inference(quant_inst,[status(thm)],[])).
% 47.23/29.68 tff(694,plain,
% 47.23/29.68 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB3)) | v124(constB3, bitIndex2)),
% 47.23/29.68 inference(modus_ponens,[status(thm)],[693, 692])).
% 47.23/29.68 tff(695,plain,
% 47.23/29.68 (v124(constB3, bitIndex2)),
% 47.23/29.68 inference(unit_resolution,[status(thm)],[694, 691, 684])).
% 47.23/29.68 tff(696,plain,
% 47.23/29.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB3) | (~v124(constB3, bitIndex2)) | v121(constB3, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB3) | (~v124(constB3, bitIndex2)) | v121(constB3, bitIndex2))),
% 47.23/29.68 inference(rewrite,[status(thm)],[])).
% 47.23/29.68 tff(697,plain,
% 47.23/29.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB3) | (~v124(constB3, bitIndex2)) | v121(constB3, bitIndex2))),
% 47.23/29.68 inference(quant_inst,[status(thm)],[])).
% 47.23/29.68 tff(698,plain,
% 47.23/29.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB3) | (~v124(constB3, bitIndex2)) | v121(constB3, bitIndex2)),
% 47.23/29.68 inference(modus_ponens,[status(thm)],[697, 696])).
% 47.23/29.68 tff(699,plain,
% 47.23/29.68 (v26(constB3) | v121(constB3, bitIndex2)),
% 47.23/29.68 inference(unit_resolution,[status(thm)],[698, 374, 695])).
% 47.23/29.68 tff(700,plain,
% 47.23/29.68 (v121(constB3, bitIndex2)),
% 47.23/29.68 inference(unit_resolution,[status(thm)],[699, 90])).
% 47.23/29.68 tff(701,plain,
% 47.23/29.68 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 47.23/29.68 inference(rewrite,[status(thm)],[])).
% 47.23/29.68 tff(702,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 47.23/29.68 tff(703,plain,
% 47.23/29.68 (nextState(constB3, constB4)),
% 47.23/29.68 inference(modus_ponens,[status(thm)],[702, 701])).
% 47.23/29.68 tff(704,plain,
% 47.23/29.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v121(constB3, bitIndex2)) | v123(constB4, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB3, constB4)) | (~v121(constB3, bitIndex2)) | v123(constB4, bitIndex2))),
% 47.23/29.68 inference(rewrite,[status(thm)],[])).
% 47.23/29.68 tff(705,plain,
% 47.23/29.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v121(constB3, bitIndex2)) | v123(constB4, bitIndex2))),
% 47.23/29.68 inference(quant_inst,[status(thm)],[])).
% 47.23/29.68 tff(706,plain,
% 47.23/29.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB3, constB4)) | (~v121(constB3, bitIndex2)) | v123(constB4, bitIndex2)),
% 47.23/29.68 inference(modus_ponens,[status(thm)],[705, 704])).
% 47.23/29.68 tff(707,plain,
% 47.23/29.68 ((~v121(constB3, bitIndex2)) | v123(constB4, bitIndex2)),
% 47.23/29.68 inference(unit_resolution,[status(thm)],[706, 389, 703])).
% 47.23/29.68 tff(708,plain,
% 47.23/29.68 (v123(constB4, bitIndex2)),
% 47.23/29.68 inference(unit_resolution,[status(thm)],[707, 700])).
% 47.23/29.68 tff(709,assumption,(~v102(constB3)), introduced(assumption)).
% 47.23/29.68 tff(710,plain,
% 47.23/29.68 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB3) | (~v106(constB3)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB3) | (~v106(constB3)))),
% 47.23/29.68 inference(rewrite,[status(thm)],[])).
% 47.23/29.68 tff(711,plain,
% 47.23/29.68 (((~v106(constB3)) | v102(constB3)) <=> (v102(constB3) | (~v106(constB3)))),
% 47.23/29.68 inference(rewrite,[status(thm)],[])).
% 47.23/29.68 tff(712,plain,
% 47.23/29.68 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB3)) | v102(constB3))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB3) | (~v106(constB3))))),
% 47.23/29.68 inference(monotonicity,[status(thm)],[711])).
% 47.23/29.68 tff(713,plain,
% 47.23/29.68 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB3)) | v102(constB3))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB3) | (~v106(constB3)))),
% 47.23/29.69 inference(transitivity,[status(thm)],[712, 710])).
% 47.23/29.69 tff(714,plain,
% 47.23/29.69 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB3)) | v102(constB3))),
% 47.23/29.69 inference(quant_inst,[status(thm)],[])).
% 47.23/29.69 tff(715,plain,
% 47.23/29.69 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB3) | (~v106(constB3))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[714, 713])).
% 47.23/29.69 tff(716,plain,
% 47.23/29.69 (~v106(constB3)),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[715, 504, 709])).
% 47.23/29.69 tff(717,plain,
% 47.23/29.69 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v102(VarCurr)) <=> ((~v26(VarCurr)) | v102(VarCurr)))),
% 47.23/29.69 inference(bind,[status(th)],[])).
% 47.23/29.69 tff(718,plain,
% 47.23/29.69 (![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))),
% 47.23/29.69 inference(quant_intro,[status(thm)],[717])).
% 47.23/29.69 tff(719,plain,
% 47.23/29.69 (![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(720,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 47.23/29.69 tff(721,plain,
% 47.23/29.69 (![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[720, 719])).
% 47.23/29.69 tff(722,plain,(
% 47.23/29.69 ![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))),
% 47.23/29.69 inference(skolemize,[status(sab)],[721])).
% 47.23/29.69 tff(723,plain,
% 47.23/29.69 (![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[722, 718])).
% 47.23/29.69 tff(724,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB3) | (~v26(constB3)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB3) | (~v26(constB3)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(725,plain,
% 47.23/29.69 (((~v26(constB3)) | v102(constB3)) <=> (v102(constB3) | (~v26(constB3)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(726,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB3)) | v102(constB3))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB3) | (~v26(constB3))))),
% 47.23/29.69 inference(monotonicity,[status(thm)],[725])).
% 47.23/29.69 tff(727,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB3)) | v102(constB3))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB3) | (~v26(constB3)))),
% 47.23/29.69 inference(transitivity,[status(thm)],[726, 724])).
% 47.23/29.69 tff(728,plain,
% 47.23/29.69 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB3)) | v102(constB3))),
% 47.23/29.69 inference(quant_inst,[status(thm)],[])).
% 47.23/29.69 tff(729,plain,
% 47.23/29.69 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB3) | (~v26(constB3))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[728, 727])).
% 47.23/29.69 tff(730,plain,
% 47.23/29.69 (~v26(constB3)),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[729, 723, 709])).
% 47.23/29.69 tff(731,plain,
% 47.23/29.69 (^[VarCurr: state_type] : refl((v109(VarCurr) | (~v172(VarCurr))) <=> (v109(VarCurr) | (~v172(VarCurr))))),
% 47.23/29.69 inference(bind,[status(th)],[])).
% 47.23/29.69 tff(732,plain,
% 47.23/29.69 (![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr))) <=> ![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 47.23/29.69 inference(quant_intro,[status(thm)],[731])).
% 47.23/29.69 tff(733,plain,
% 47.23/29.69 (![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr))) <=> ![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(734,plain,
% 47.23/29.69 (^[VarCurr: state_type] : rewrite(((~v172(VarCurr)) | v109(VarCurr)) <=> (v109(VarCurr) | (~v172(VarCurr))))),
% 47.23/29.69 inference(bind,[status(th)],[])).
% 47.23/29.69 tff(735,plain,
% 47.23/29.69 (![VarCurr: state_type] : ((~v172(VarCurr)) | v109(VarCurr)) <=> ![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 47.23/29.69 inference(quant_intro,[status(thm)],[734])).
% 47.23/29.69 tff(736,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | v109(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1_1')).
% 47.23/29.69 tff(737,plain,
% 47.23/29.69 (![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[736, 735])).
% 47.23/29.69 tff(738,plain,
% 47.23/29.69 (![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[737, 733])).
% 47.23/29.69 tff(739,plain,(
% 47.23/29.69 ![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 47.23/29.69 inference(skolemize,[status(sab)],[738])).
% 47.23/29.69 tff(740,plain,
% 47.23/29.69 (![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[739, 732])).
% 47.23/29.69 tff(741,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB3) | (~v172(constB3)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB3) | (~v172(constB3)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(742,plain,
% 47.23/29.69 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB3) | (~v172(constB3)))),
% 47.23/29.69 inference(quant_inst,[status(thm)],[])).
% 47.23/29.69 tff(743,plain,
% 47.23/29.69 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB3) | (~v172(constB3))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[742, 741])).
% 47.23/29.69 tff(744,plain,
% 47.23/29.69 (v109(constB3)),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[743, 740, 684])).
% 47.23/29.69 tff(745,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v109(constB3)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v109(constB3)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(746,plain,
% 47.23/29.69 (((~v109(constB3)) | v108(constB3)) <=> (v108(constB3) | (~v109(constB3)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(747,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v109(constB3))))),
% 47.23/29.69 inference(monotonicity,[status(thm)],[746])).
% 47.23/29.69 tff(748,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v109(constB3)))),
% 47.23/29.69 inference(transitivity,[status(thm)],[747, 745])).
% 47.23/29.69 tff(749,plain,
% 47.23/29.69 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB3)) | v108(constB3))),
% 47.23/29.69 inference(quant_inst,[status(thm)],[])).
% 47.23/29.69 tff(750,plain,
% 47.23/29.69 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v109(constB3))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[749, 748])).
% 47.23/29.69 tff(751,plain,
% 47.23/29.69 (v108(constB3)),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[750, 320, 744])).
% 47.23/29.69 tff(752,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB3) | (~v108(constB3)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB3) | (~v108(constB3)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(753,plain,
% 47.23/29.69 (((~v108(constB3)) | v107(constB3)) <=> (v107(constB3) | (~v108(constB3)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(754,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB3)) | v107(constB3))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB3) | (~v108(constB3))))),
% 47.23/29.69 inference(monotonicity,[status(thm)],[753])).
% 47.23/29.69 tff(755,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB3)) | v107(constB3))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB3) | (~v108(constB3)))),
% 47.23/29.69 inference(transitivity,[status(thm)],[754, 752])).
% 47.23/29.69 tff(756,plain,
% 47.23/29.69 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB3)) | v107(constB3))),
% 47.23/29.69 inference(quant_inst,[status(thm)],[])).
% 47.23/29.69 tff(757,plain,
% 47.23/29.69 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB3) | (~v108(constB3))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[756, 755])).
% 47.23/29.69 tff(758,plain,
% 47.23/29.69 (v107(constB3)),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[757, 334, 751])).
% 47.23/29.69 tff(759,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | v106(constB3) | (~v107(constB3)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB3) | v106(constB3) | (~v107(constB3)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(760,plain,
% 47.23/29.69 ((v26(constB3) | (~v107(constB3)) | v106(constB3)) <=> (v26(constB3) | v106(constB3) | (~v107(constB3)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(761,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | (~v107(constB3)) | v106(constB3))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | v106(constB3) | (~v107(constB3))))),
% 47.23/29.69 inference(monotonicity,[status(thm)],[760])).
% 47.23/29.69 tff(762,plain,
% 47.23/29.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | (~v107(constB3)) | v106(constB3))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB3) | v106(constB3) | (~v107(constB3)))),
% 47.23/29.69 inference(transitivity,[status(thm)],[761, 759])).
% 47.23/29.69 tff(763,plain,
% 47.23/29.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | (~v107(constB3)) | v106(constB3))),
% 47.23/29.69 inference(quant_inst,[status(thm)],[])).
% 47.23/29.69 tff(764,plain,
% 47.23/29.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB3) | v106(constB3) | (~v107(constB3))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[763, 762])).
% 47.23/29.69 tff(765,plain,
% 47.23/29.69 (v26(constB3) | v106(constB3)),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[764, 348, 758])).
% 47.23/29.69 tff(766,plain,
% 47.23/29.69 ($false),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[765, 730, 716])).
% 47.23/29.69 tff(767,plain,(v102(constB3)), inference(lemma,lemma(discharge,[]))).
% 47.23/29.69 tff(768,plain,
% 47.23/29.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(769,plain,
% 47.23/29.69 (((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4)) <=> ((~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(770,plain,
% 47.23/29.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3))))),
% 47.23/29.69 inference(monotonicity,[status(thm)],[769])).
% 47.23/29.69 tff(771,plain,
% 47.23/29.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))),
% 47.23/29.69 inference(transitivity,[status(thm)],[770, 768])).
% 47.23/29.69 tff(772,plain,
% 47.23/29.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4))),
% 47.23/29.69 inference(quant_inst,[status(thm)],[])).
% 47.23/29.69 tff(773,plain,
% 47.23/29.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[772, 771])).
% 47.23/29.69 tff(774,plain,
% 47.23/29.69 (v104(constB4) | (~v102(constB3))),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[773, 489, 703])).
% 47.23/29.69 tff(775,plain,
% 47.23/29.69 (v104(constB4)),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[774, 767])).
% 47.23/29.69 tff(776,plain,
% 47.23/29.69 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(777,plain,
% 47.23/29.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4)))),
% 47.23/29.69 inference(quant_inst,[status(thm)],[])).
% 47.23/29.69 tff(778,plain,
% 47.23/29.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[777, 776])).
% 47.23/29.69 tff(779,plain,
% 47.23/29.69 (~v98(constB4)),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[778, 423, 703, 542])).
% 47.23/29.69 tff(780,plain,
% 47.23/29.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB3, constB4)) | v96(constB4) | v98(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB3, constB4)) | v96(constB4) | v98(constB4))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(781,plain,
% 47.23/29.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB3, constB4)) | v96(constB4) | v98(constB4))),
% 47.23/29.69 inference(quant_inst,[status(thm)],[])).
% 47.23/29.69 tff(782,plain,
% 47.23/29.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB3, constB4)) | v96(constB4) | v98(constB4)),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[781, 780])).
% 47.23/29.69 tff(783,plain,
% 47.23/29.69 (v96(constB4) | v98(constB4)),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[782, 437, 703])).
% 47.23/29.69 tff(784,plain,
% 47.23/29.69 (v96(constB4)),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[783, 779])).
% 47.23/29.69 tff(785,plain,
% 47.23/29.69 (v1(constB4) <=> v1(constB4)),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(786,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 47.23/29.69 tff(787,plain,
% 47.23/29.69 (v1(constB4)),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[786, 785])).
% 47.23/29.69 tff(788,plain,
% 47.23/29.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(789,plain,
% 47.23/29.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4)))),
% 47.23/29.69 inference(quant_inst,[status(thm)],[])).
% 47.23/29.69 tff(790,plain,
% 47.23/29.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[789, 788])).
% 47.23/29.69 tff(791,plain,
% 47.23/29.69 (v95(constB4) | (~v96(constB4))),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[790, 455, 703, 787])).
% 47.23/29.69 tff(792,plain,
% 47.23/29.69 (v95(constB4)),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[791, 784])).
% 47.23/29.69 tff(793,plain,
% 47.23/29.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(794,plain,
% 47.23/29.69 (((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4)) <=> ((~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(795,plain,
% 47.23/29.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4))))),
% 47.23/29.69 inference(monotonicity,[status(thm)],[794])).
% 47.23/29.69 tff(796,plain,
% 47.23/29.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))),
% 47.23/29.69 inference(transitivity,[status(thm)],[795, 793])).
% 47.23/29.69 tff(797,plain,
% 47.23/29.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4))),
% 47.23/29.69 inference(quant_inst,[status(thm)],[])).
% 47.23/29.69 tff(798,plain,
% 47.23/29.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4))),
% 47.23/29.69 inference(modus_ponens,[status(thm)],[797, 796])).
% 47.23/29.69 tff(799,plain,
% 47.23/29.69 (v94(constB4) | (~v95(constB4)) | (~v104(constB4))),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[798, 470, 703])).
% 47.23/29.69 tff(800,plain,
% 47.23/29.69 (v94(constB4) | (~v104(constB4))),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[799, 792])).
% 47.23/29.69 tff(801,plain,
% 47.23/29.69 (v94(constB4)),
% 47.23/29.69 inference(unit_resolution,[status(thm)],[800, 775])).
% 47.23/29.69 tff(802,plain,
% 47.23/29.69 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2)) | (~v94(constB4)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2)) | (~v94(constB4)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(803,plain,
% 47.23/29.69 ((v84(constB4, bitIndex2) | (~v94(constB4)) | (~v123(constB4, bitIndex2))) <=> (v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2)) | (~v94(constB4)))),
% 47.23/29.69 inference(rewrite,[status(thm)],[])).
% 47.23/29.69 tff(804,plain,
% 47.23/29.69 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~v94(constB4)) | (~v123(constB4, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2)) | (~v94(constB4))))),
% 47.23/29.69 inference(monotonicity,[status(thm)],[803])).
% 47.23/29.69 tff(805,plain,
% 47.23/29.69 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~v94(constB4)) | (~v123(constB4, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2)) | (~v94(constB4)))),
% 47.23/29.69 inference(transitivity,[status(thm)],[804, 802])).
% 47.23/29.70 tff(806,plain,
% 47.23/29.70 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~v94(constB4)) | (~v123(constB4, bitIndex2)))),
% 47.23/29.70 inference(quant_inst,[status(thm)],[])).
% 47.23/29.70 tff(807,plain,
% 47.23/29.70 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2)) | (~v94(constB4))),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[806, 805])).
% 47.23/29.70 tff(808,plain,
% 47.23/29.70 (v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2))),
% 47.23/29.70 inference(unit_resolution,[status(thm)],[807, 405, 801])).
% 47.23/29.70 tff(809,plain,
% 47.23/29.70 (v84(constB4, bitIndex2)),
% 47.23/29.70 inference(unit_resolution,[status(thm)],[808, 708])).
% 47.23/29.70 tff(810,plain,
% 47.23/29.70 ((~v1(constB5)) <=> (~v1(constB5))),
% 47.23/29.70 inference(rewrite,[status(thm)],[])).
% 47.23/29.70 tff(811,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 47.23/29.70 tff(812,plain,
% 47.23/29.70 (~v1(constB5)),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[811, 810])).
% 47.23/29.70 tff(813,plain,
% 47.23/29.70 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 47.23/29.70 inference(rewrite,[status(thm)],[])).
% 47.23/29.70 tff(814,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 47.23/29.70 tff(815,plain,
% 47.23/29.70 (nextState(constB4, constB5)),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[814, 813])).
% 47.23/29.70 tff(816,plain,
% 47.23/29.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))),
% 47.23/29.70 inference(rewrite,[status(thm)],[])).
% 47.23/29.70 tff(817,plain,
% 47.23/29.70 (((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))),
% 47.23/29.70 inference(rewrite,[status(thm)],[])).
% 47.23/29.70 tff(818,plain,
% 47.23/29.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5))))),
% 47.23/29.70 inference(monotonicity,[status(thm)],[817])).
% 47.23/29.70 tff(819,plain,
% 47.23/29.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))),
% 47.23/29.70 inference(transitivity,[status(thm)],[818, 816])).
% 47.23/29.70 tff(820,plain,
% 47.23/29.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5))),
% 47.23/29.70 inference(quant_inst,[status(thm)],[])).
% 47.23/29.70 tff(821,plain,
% 47.23/29.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5))),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[820, 819])).
% 47.23/29.70 tff(822,plain,
% 47.23/29.70 (~v95(constB5)),
% 47.23/29.70 inference(unit_resolution,[status(thm)],[821, 110, 815, 812])).
% 47.23/29.70 tff(823,plain,
% 47.23/29.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5)))),
% 47.23/29.70 inference(rewrite,[status(thm)],[])).
% 47.23/29.70 tff(824,plain,
% 47.23/29.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5)))),
% 47.23/29.70 inference(quant_inst,[status(thm)],[])).
% 47.23/29.70 tff(825,plain,
% 47.23/29.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5))),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[824, 823])).
% 47.23/29.70 tff(826,plain,
% 47.23/29.70 (v95(constB5) | (~v94(constB5))),
% 47.23/29.70 inference(unit_resolution,[status(thm)],[825, 127, 815])).
% 47.23/29.70 tff(827,plain,
% 47.23/29.70 (~v94(constB5)),
% 47.23/29.70 inference(unit_resolution,[status(thm)],[826, 822])).
% 47.23/29.70 tff(828,plain,
% 47.23/29.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex2))),
% 47.23/29.70 inference(rewrite,[status(thm)],[])).
% 47.23/29.70 tff(829,plain,
% 47.23/29.70 (((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex2)) | v94(constB5) | v84(constB5, bitIndex2)) <=> ((~v84(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex2))),
% 47.23/29.70 inference(rewrite,[status(thm)],[])).
% 47.23/29.70 tff(830,plain,
% 47.23/29.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex2)) | v94(constB5) | v84(constB5, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex2)))),
% 47.23/29.70 inference(monotonicity,[status(thm)],[829])).
% 47.23/29.70 tff(831,plain,
% 47.23/29.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex2)) | v94(constB5) | v84(constB5, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex2))),
% 47.23/29.70 inference(transitivity,[status(thm)],[830, 828])).
% 47.23/29.70 tff(832,plain,
% 47.23/29.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex2)) | v94(constB5) | v84(constB5, bitIndex2))),
% 47.23/29.70 inference(quant_inst,[status(thm)],[])).
% 47.23/29.70 tff(833,plain,
% 47.23/29.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex2)),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[832, 831])).
% 47.23/29.70 tff(834,plain,
% 47.23/29.70 ((~v84(constB4, bitIndex2)) | v94(constB5) | v84(constB5, bitIndex2)),
% 47.23/29.70 inference(unit_resolution,[status(thm)],[833, 576, 815])).
% 47.23/29.70 tff(835,plain,
% 47.23/29.70 ((~v84(constB4, bitIndex2)) | v84(constB5, bitIndex2)),
% 47.23/29.70 inference(unit_resolution,[status(thm)],[834, 827])).
% 47.23/29.70 tff(836,plain,
% 47.23/29.70 (v84(constB5, bitIndex2)),
% 47.23/29.70 inference(unit_resolution,[status(thm)],[835, 809])).
% 47.23/29.70 tff(837,plain,
% 47.23/29.70 (^[VarCurr: state_type] : refl(((~v172(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v172(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 47.23/29.70 inference(bind,[status(th)],[])).
% 47.23/29.70 tff(838,plain,
% 47.23/29.70 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.23/29.70 inference(quant_intro,[status(thm)],[837])).
% 47.23/29.70 tff(839,plain,
% 47.23/29.70 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.23/29.70 inference(rewrite,[status(thm)],[])).
% 47.23/29.70 tff(840,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_2')).
% 47.23/29.70 tff(841,plain,
% 47.23/29.70 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[840, 839])).
% 47.23/29.70 tff(842,plain,(
% 47.23/29.70 ![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.23/29.70 inference(skolemize,[status(sab)],[841])).
% 47.23/29.70 tff(843,plain,
% 47.23/29.70 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[842, 838])).
% 47.23/29.70 tff(844,plain,
% 47.23/29.70 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB3)) | v124(constB3, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB3)) | v124(constB3, bitIndex1))),
% 47.23/29.70 inference(rewrite,[status(thm)],[])).
% 47.23/29.70 tff(845,plain,
% 47.23/29.70 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB3)) | v124(constB3, bitIndex1))),
% 47.23/29.70 inference(quant_inst,[status(thm)],[])).
% 47.23/29.70 tff(846,plain,
% 47.23/29.70 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB3)) | v124(constB3, bitIndex1)),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[845, 844])).
% 47.23/29.70 tff(847,plain,
% 47.23/29.70 (v124(constB3, bitIndex1)),
% 47.23/29.70 inference(unit_resolution,[status(thm)],[846, 843, 684])).
% 47.23/29.70 tff(848,plain,
% 47.23/29.70 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)))),
% 47.23/29.70 inference(bind,[status(th)],[])).
% 47.23/29.70 tff(849,plain,
% 47.23/29.70 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 47.23/29.70 inference(quant_intro,[status(thm)],[848])).
% 47.23/29.70 tff(850,plain,
% 47.23/29.70 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 47.23/29.70 inference(rewrite,[status(thm)],[])).
% 47.23/29.70 tff(851,plain,
% 47.23/29.70 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v124(VarCurr, bitIndex1))) | v121(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)))),
% 47.23/29.70 inference(bind,[status(th)],[])).
% 47.23/29.70 tff(852,plain,
% 47.23/29.70 (![VarCurr: state_type] : ((v26(VarCurr) | (~v124(VarCurr, bitIndex1))) | v121(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 47.23/29.70 inference(quant_intro,[status(thm)],[851])).
% 47.23/29.70 tff(853,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v124(VarCurr, bitIndex1))) | v121(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 47.23/29.70 tff(854,plain,
% 47.23/29.70 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[853, 852])).
% 47.23/29.70 tff(855,plain,
% 47.23/29.70 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[854, 850])).
% 47.23/29.70 tff(856,plain,(
% 47.23/29.70 ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 47.23/29.70 inference(skolemize,[status(sab)],[855])).
% 47.23/29.70 tff(857,plain,
% 47.23/29.70 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[856, 849])).
% 47.23/29.70 tff(858,plain,
% 47.23/29.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1))),
% 47.23/29.70 inference(rewrite,[status(thm)],[])).
% 47.23/29.70 tff(859,plain,
% 47.23/29.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1))),
% 47.23/29.70 inference(quant_inst,[status(thm)],[])).
% 47.23/29.70 tff(860,plain,
% 47.23/29.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1)),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[859, 858])).
% 47.23/29.70 tff(861,plain,
% 47.23/29.70 (v26(constB3) | v121(constB3, bitIndex1)),
% 47.23/29.70 inference(unit_resolution,[status(thm)],[860, 857, 847])).
% 47.23/29.70 tff(862,plain,
% 47.23/29.70 (v121(constB3, bitIndex1)),
% 47.23/29.70 inference(unit_resolution,[status(thm)],[861, 90])).
% 47.23/29.70 tff(863,plain,
% 47.23/29.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)))),
% 47.23/29.70 inference(bind,[status(th)],[])).
% 47.23/29.70 tff(864,plain,
% 47.23/29.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 47.23/29.70 inference(quant_intro,[status(thm)],[863])).
% 47.23/29.70 tff(865,plain,
% 47.23/29.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 47.23/29.70 inference(rewrite,[status(thm)],[])).
% 47.23/29.70 tff(866,plain,
% 47.23/29.70 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1))) | v123(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)))),
% 47.23/29.70 inference(bind,[status(th)],[])).
% 47.23/29.70 tff(867,plain,
% 47.23/29.70 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1))) | v123(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 47.23/29.70 inference(quant_intro,[status(thm)],[866])).
% 47.23/29.70 tff(868,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1))) | v123(VarNext, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 47.23/29.70 tff(869,plain,
% 47.23/29.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[868, 867])).
% 47.23/29.70 tff(870,plain,
% 47.23/29.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[869, 865])).
% 47.23/29.70 tff(871,plain,(
% 47.23/29.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 47.23/29.70 inference(skolemize,[status(sab)],[870])).
% 47.23/29.70 tff(872,plain,
% 47.23/29.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 47.23/29.70 inference(modus_ponens,[status(thm)],[871, 864])).
% 47.23/29.70 tff(873,plain,
% 47.23/29.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1))),
% 47.23/29.71 inference(rewrite,[status(thm)],[])).
% 47.23/29.71 tff(874,plain,
% 47.23/29.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1))),
% 47.23/29.71 inference(quant_inst,[status(thm)],[])).
% 47.23/29.71 tff(875,plain,
% 47.23/29.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1)),
% 47.23/29.71 inference(modus_ponens,[status(thm)],[874, 873])).
% 47.23/29.71 tff(876,plain,
% 47.23/29.71 ((~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1)),
% 47.23/29.71 inference(unit_resolution,[status(thm)],[875, 872, 703])).
% 47.23/29.71 tff(877,plain,
% 47.23/29.71 (v123(constB4, bitIndex1)),
% 47.23/29.71 inference(unit_resolution,[status(thm)],[876, 862])).
% 47.23/29.71 tff(878,plain,
% 47.23/29.71 (^[VarNext: state_type] : refl((v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))) <=> (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))))),
% 47.23/29.71 inference(bind,[status(th)],[])).
% 47.23/29.71 tff(879,plain,
% 47.23/29.71 (![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 47.23/29.71 inference(quant_intro,[status(thm)],[878])).
% 47.23/29.71 tff(880,plain,
% 47.23/29.71 (![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 47.23/29.71 inference(rewrite,[status(thm)],[])).
% 47.23/29.71 tff(881,plain,
% 47.23/29.71 (^[VarNext: state_type] : rewrite((((~v94(VarNext)) | (~v123(VarNext, bitIndex1))) | v84(VarNext, bitIndex1)) <=> (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))))),
% 47.23/29.71 inference(bind,[status(th)],[])).
% 47.23/29.71 tff(882,plain,
% 47.23/29.71 (![VarNext: state_type] : (((~v94(VarNext)) | (~v123(VarNext, bitIndex1))) | v84(VarNext, bitIndex1)) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 47.23/29.71 inference(quant_intro,[status(thm)],[881])).
% 47.23/29.71 tff(883,axiom,(![VarNext: state_type] : (((~v94(VarNext)) | (~v123(VarNext, bitIndex1))) | v84(VarNext, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 47.23/29.71 tff(884,plain,
% 47.23/29.71 (![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 47.23/29.71 inference(modus_ponens,[status(thm)],[883, 882])).
% 47.23/29.71 tff(885,plain,
% 47.23/29.71 (![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 47.23/29.71 inference(modus_ponens,[status(thm)],[884, 880])).
% 47.23/29.71 tff(886,plain,(
% 47.23/29.71 ![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 47.23/29.71 inference(skolemize,[status(sab)],[885])).
% 47.23/29.71 tff(887,plain,
% 47.23/29.71 (![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 47.23/29.71 inference(modus_ponens,[status(thm)],[886, 879])).
% 47.23/29.71 tff(888,plain,
% 47.23/29.71 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))),
% 47.23/29.71 inference(rewrite,[status(thm)],[])).
% 47.23/29.71 tff(889,plain,
% 47.23/29.71 ((v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1))) <=> (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))),
% 47.23/29.71 inference(rewrite,[status(thm)],[])).
% 47.23/29.71 tff(890,plain,
% 47.23/29.71 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4))))),
% 47.23/29.71 inference(monotonicity,[status(thm)],[889])).
% 47.23/29.71 tff(891,plain,
% 47.23/29.71 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))),
% 47.23/29.71 inference(transitivity,[status(thm)],[890, 888])).
% 47.23/29.71 tff(892,plain,
% 47.23/29.71 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1)))),
% 47.23/29.71 inference(quant_inst,[status(thm)],[])).
% 47.23/29.71 tff(893,plain,
% 47.23/29.71 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4))),
% 47.23/29.71 inference(modus_ponens,[status(thm)],[892, 891])).
% 47.23/29.71 tff(894,plain,
% 47.23/29.71 (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1))),
% 47.23/29.71 inference(unit_resolution,[status(thm)],[893, 887, 801])).
% 47.23/29.71 tff(895,plain,
% 47.23/29.71 (v84(constB4, bitIndex1)),
% 47.23/29.71 inference(unit_resolution,[status(thm)],[894, 877])).
% 47.23/29.71 tff(896,plain,
% 47.23/29.71 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)))),
% 47.23/29.71 inference(bind,[status(th)],[])).
% 47.23/29.71 tff(897,plain,
% 47.23/29.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 47.23/29.71 inference(quant_intro,[status(thm)],[896])).
% 47.23/29.71 tff(898,plain,
% 47.23/29.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 47.23/29.71 inference(rewrite,[status(thm)],[])).
% 47.23/29.71 tff(899,plain,
% 47.23/29.71 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) | v84(VarNext, bitIndex1)) <=> (((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext)) | v84(VarNext, bitIndex1)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext)) | v84(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) | v84(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))))),
% 47.23/29.71 inference(bind,[status(th)],[])).
% 47.23/29.71 tff(900,plain,
% 47.23/29.71 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) | v84(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 47.23/29.71 inference(quant_intro,[status(thm)],[899])).
% 47.23/29.71 tff(901,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) | v84(VarNext, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_3')).
% 47.23/29.71 tff(902,plain,
% 47.23/29.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 47.23/29.71 inference(modus_ponens,[status(thm)],[901, 900])).
% 47.23/29.71 tff(903,plain,
% 47.23/29.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 47.23/29.71 inference(modus_ponens,[status(thm)],[902, 898])).
% 47.23/29.71 tff(904,plain,(
% 47.23/29.71 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 47.23/29.71 inference(skolemize,[status(sab)],[903])).
% 47.23/29.71 tff(905,plain,
% 47.23/29.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 47.23/29.71 inference(modus_ponens,[status(thm)],[904, 897])).
% 47.23/29.71 tff(906,plain,
% 47.23/29.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))),
% 47.23/29.71 inference(rewrite,[status(thm)],[])).
% 47.23/29.71 tff(907,plain,
% 47.23/29.71 (((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1)) <=> ((~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))),
% 47.23/29.71 inference(rewrite,[status(thm)],[])).
% 47.23/29.71 tff(908,plain,
% 47.23/29.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1)))),
% 47.23/29.71 inference(monotonicity,[status(thm)],[907])).
% 47.23/29.71 tff(909,plain,
% 47.23/29.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))),
% 47.23/29.71 inference(transitivity,[status(thm)],[908, 906])).
% 47.23/29.71 tff(910,plain,
% 47.23/29.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1))),
% 47.23/29.71 inference(quant_inst,[status(thm)],[])).
% 47.23/29.71 tff(911,plain,
% 47.23/29.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1)),
% 47.23/29.71 inference(modus_ponens,[status(thm)],[910, 909])).
% 47.23/29.71 tff(912,plain,
% 47.23/29.71 ((~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1)),
% 47.23/29.71 inference(unit_resolution,[status(thm)],[911, 905, 815])).
% 47.23/29.71 tff(913,plain,
% 47.23/29.71 ((~v84(constB4, bitIndex1)) | v84(constB5, bitIndex1)),
% 47.23/29.71 inference(unit_resolution,[status(thm)],[912, 827])).
% 47.23/29.71 tff(914,plain,
% 47.23/29.71 (v84(constB5, bitIndex1)),
% 47.23/29.71 inference(unit_resolution,[status(thm)],[913, 895])).
% 47.23/29.71 tff(915,plain,
% 47.23/29.71 (^[VarCurr: state_type] : refl(((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 47.23/29.71 inference(bind,[status(th)],[])).
% 47.23/29.71 tff(916,plain,
% 47.23/29.71 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.23/29.71 inference(quant_intro,[status(thm)],[915])).
% 47.23/29.71 tff(917,plain,
% 47.23/29.71 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.23/29.71 inference(rewrite,[status(thm)],[])).
% 47.23/29.71 tff(918,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_1')).
% 47.23/29.71 tff(919,plain,
% 47.23/29.71 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.23/29.71 inference(modus_ponens,[status(thm)],[918, 917])).
% 47.23/29.71 tff(920,plain,(
% 47.23/29.71 ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.23/29.71 inference(skolemize,[status(sab)],[919])).
% 47.23/29.71 tff(921,plain,
% 47.23/29.71 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.23/29.71 inference(modus_ponens,[status(thm)],[920, 916])).
% 47.23/29.71 tff(922,plain,
% 47.23/29.71 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB3)) | (~v124(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB3)) | (~v124(constB3, bitIndex0)))),
% 47.23/29.71 inference(rewrite,[status(thm)],[])).
% 47.23/29.71 tff(923,plain,
% 47.23/29.71 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB3)) | (~v124(constB3, bitIndex0)))),
% 47.23/29.71 inference(quant_inst,[status(thm)],[])).
% 47.23/29.71 tff(924,plain,
% 47.23/29.71 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB3)) | (~v124(constB3, bitIndex0))),
% 47.23/29.71 inference(modus_ponens,[status(thm)],[923, 922])).
% 47.23/29.71 tff(925,plain,
% 47.23/29.71 (~v124(constB3, bitIndex0)),
% 47.23/29.71 inference(unit_resolution,[status(thm)],[924, 921, 684])).
% 47.23/29.71 tff(926,plain,
% 47.23/29.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))),
% 47.23/29.71 inference(rewrite,[status(thm)],[])).
% 47.23/29.71 tff(927,plain,
% 47.23/29.71 ((v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0))) <=> ((~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))),
% 47.23/29.71 inference(rewrite,[status(thm)],[])).
% 47.23/29.71 tff(928,plain,
% 47.23/29.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0)))),
% 47.23/29.71 inference(monotonicity,[status(thm)],[927])).
% 47.23/29.71 tff(929,plain,
% 47.23/29.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))),
% 47.23/29.71 inference(transitivity,[status(thm)],[928, 926])).
% 47.23/29.71 tff(930,plain,
% 47.23/29.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0)))),
% 47.23/29.71 inference(quant_inst,[status(thm)],[])).
% 47.23/29.71 tff(931,plain,
% 47.23/29.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0)),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[930, 929])).
% 47.23/29.72 tff(932,plain,
% 47.23/29.72 ((~v121(constB3, bitIndex0)) | v26(constB3)),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[931, 607, 925])).
% 47.23/29.72 tff(933,plain,
% 47.23/29.72 (~v121(constB3, bitIndex0)),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[932, 90])).
% 47.23/29.72 tff(934,plain,
% 47.23/29.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0)))),
% 47.23/29.72 inference(rewrite,[status(thm)],[])).
% 47.23/29.72 tff(935,plain,
% 47.23/29.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0)))),
% 47.23/29.72 inference(quant_inst,[status(thm)],[])).
% 47.23/29.72 tff(936,plain,
% 47.23/29.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0))),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[935, 934])).
% 47.23/29.72 tff(937,plain,
% 47.23/29.72 (v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0))),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[936, 637, 703])).
% 47.23/29.72 tff(938,plain,
% 47.23/29.72 (~v123(constB4, bitIndex0)),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[937, 933])).
% 47.23/29.72 tff(939,plain,
% 47.23/29.72 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))),
% 47.23/29.72 inference(rewrite,[status(thm)],[])).
% 47.23/29.72 tff(940,plain,
% 47.23/29.72 (((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0)) <=> ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))),
% 47.23/29.72 inference(rewrite,[status(thm)],[])).
% 47.23/29.72 tff(941,plain,
% 47.23/29.72 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4))))),
% 47.23/29.72 inference(monotonicity,[status(thm)],[940])).
% 47.23/29.72 tff(942,plain,
% 47.23/29.72 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))),
% 47.23/29.72 inference(transitivity,[status(thm)],[941, 939])).
% 47.23/29.72 tff(943,plain,
% 47.23/29.72 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0))),
% 47.23/29.72 inference(quant_inst,[status(thm)],[])).
% 47.23/29.72 tff(944,plain,
% 47.23/29.72 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4))),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[943, 942])).
% 47.23/29.72 tff(945,plain,
% 47.23/29.72 ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0)),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[944, 652, 801])).
% 47.23/29.72 tff(946,plain,
% 47.23/29.72 (~v84(constB4, bitIndex0)),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[945, 938])).
% 47.23/29.72 tff(947,plain,
% 47.23/29.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 47.23/29.72 inference(rewrite,[status(thm)],[])).
% 47.23/29.72 tff(948,plain,
% 47.23/29.72 (((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0))) <=> (v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 47.23/29.72 inference(rewrite,[status(thm)],[])).
% 47.23/29.72 tff(949,plain,
% 47.23/29.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0))))),
% 47.23/29.72 inference(monotonicity,[status(thm)],[948])).
% 47.23/29.72 tff(950,plain,
% 47.23/29.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 47.23/29.72 inference(transitivity,[status(thm)],[949, 947])).
% 47.23/29.72 tff(951,plain,
% 47.23/29.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 47.23/29.72 inference(quant_inst,[status(thm)],[])).
% 47.23/29.72 tff(952,plain,
% 47.23/29.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0))),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[951, 950])).
% 47.23/29.72 tff(953,plain,
% 47.23/29.72 (v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0))),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[952, 184, 815])).
% 47.23/29.72 tff(954,plain,
% 47.23/29.72 (v84(constB4, bitIndex0) | (~v84(constB5, bitIndex0))),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[953, 827])).
% 47.23/29.72 tff(955,plain,
% 47.23/29.72 (~v84(constB5, bitIndex0)),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[954, 946])).
% 47.23/29.72 tff(956,plain,
% 47.23/29.72 (^[VarCurr: state_type] : refl((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)))),
% 47.23/29.72 inference(bind,[status(th)],[])).
% 47.23/29.72 tff(957,plain,
% 47.23/29.72 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 47.23/29.72 inference(quant_intro,[status(thm)],[956])).
% 47.23/29.72 tff(958,plain,
% 47.23/29.72 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 47.23/29.72 inference(rewrite,[status(thm)],[])).
% 47.23/29.72 tff(959,plain,
% 47.23/29.72 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)))), (((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) <=> ((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))))), rewrite(((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))), (((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))))), ((((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) | v119(VarCurr)) <=> ((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) | v119(VarCurr)))), rewrite(((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) | v119(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))), ((((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) | v119(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))))),
% 47.23/29.72 inference(bind,[status(th)],[])).
% 47.23/29.72 tff(960,plain,
% 47.23/29.72 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 47.23/29.72 inference(quant_intro,[status(thm)],[959])).
% 47.23/29.72 tff(961,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 47.23/29.72 tff(962,plain,
% 47.23/29.72 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[961, 960])).
% 47.23/29.72 tff(963,plain,
% 47.23/29.72 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[962, 958])).
% 47.23/29.72 tff(964,plain,(
% 47.23/29.72 ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 47.23/29.72 inference(skolemize,[status(sab)],[963])).
% 47.23/29.72 tff(965,plain,
% 47.23/29.72 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[964, 957])).
% 47.23/29.72 tff(966,plain,
% 47.23/29.72 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | (~v84(constB5, bitIndex2)) | v119(constB5))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | (~v84(constB5, bitIndex2)) | v119(constB5))),
% 47.23/29.72 inference(rewrite,[status(thm)],[])).
% 47.23/29.72 tff(967,plain,
% 47.23/29.72 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | (~v84(constB5, bitIndex2)) | v119(constB5))),
% 47.23/29.72 inference(quant_inst,[status(thm)],[])).
% 47.23/29.72 tff(968,plain,
% 47.23/29.72 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | (~v84(constB5, bitIndex2)) | v119(constB5)),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[967, 966])).
% 47.23/29.72 tff(969,plain,
% 47.23/29.72 (v119(constB5)),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[968, 965, 955, 914, 836])).
% 47.23/29.72 tff(970,plain,
% 47.23/29.72 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v107(VarCurr)) <=> ((~v119(VarCurr)) | v107(VarCurr)))),
% 47.23/29.72 inference(bind,[status(th)],[])).
% 47.23/29.72 tff(971,plain,
% 47.23/29.72 (![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))),
% 47.23/29.72 inference(quant_intro,[status(thm)],[970])).
% 47.23/29.72 tff(972,plain,
% 47.23/29.72 (![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))),
% 47.23/29.72 inference(rewrite,[status(thm)],[])).
% 47.23/29.72 tff(973,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 47.23/29.72 tff(974,plain,
% 47.23/29.72 (![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[973, 972])).
% 47.23/29.72 tff(975,plain,(
% 47.23/29.72 ![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))),
% 47.23/29.72 inference(skolemize,[status(sab)],[974])).
% 47.23/29.72 tff(976,plain,
% 47.23/29.72 (![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[975, 971])).
% 47.23/29.72 tff(977,plain,
% 47.23/29.72 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB5)) | v107(constB5))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB5)) | v107(constB5))),
% 47.23/29.72 inference(rewrite,[status(thm)],[])).
% 47.23/29.72 tff(978,plain,
% 47.23/29.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB5)) | v107(constB5))),
% 47.23/29.72 inference(quant_inst,[status(thm)],[])).
% 47.23/29.72 tff(979,plain,
% 47.23/29.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB5)) | v107(constB5)),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[978, 977])).
% 47.23/29.72 tff(980,plain,
% 47.23/29.72 (v107(constB5)),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[979, 976, 969])).
% 47.23/29.72 tff(981,plain,
% 47.23/29.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB5) | (~v107(constB5)) | v106(constB5))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB5) | (~v107(constB5)) | v106(constB5))),
% 47.23/29.72 inference(rewrite,[status(thm)],[])).
% 47.23/29.72 tff(982,plain,
% 47.23/29.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB5) | (~v107(constB5)) | v106(constB5))),
% 47.23/29.72 inference(quant_inst,[status(thm)],[])).
% 47.23/29.72 tff(983,plain,
% 47.23/29.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB5) | (~v107(constB5)) | v106(constB5)),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[982, 981])).
% 47.23/29.72 tff(984,plain,
% 47.23/29.72 (v26(constB5) | v106(constB5)),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[983, 348, 980])).
% 47.23/29.72 tff(985,plain,
% 47.23/29.72 (v106(constB5)),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[984, 86])).
% 47.23/29.72 tff(986,plain,
% 47.23/29.72 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB5) | (~v106(constB5)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB5) | (~v106(constB5)))),
% 47.23/29.72 inference(rewrite,[status(thm)],[])).
% 47.23/29.72 tff(987,plain,
% 47.23/29.72 (((~v106(constB5)) | v102(constB5)) <=> (v102(constB5) | (~v106(constB5)))),
% 47.23/29.72 inference(rewrite,[status(thm)],[])).
% 47.23/29.72 tff(988,plain,
% 47.23/29.72 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB5)) | v102(constB5))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB5) | (~v106(constB5))))),
% 47.23/29.72 inference(monotonicity,[status(thm)],[987])).
% 47.23/29.72 tff(989,plain,
% 47.23/29.72 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB5)) | v102(constB5))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB5) | (~v106(constB5)))),
% 47.23/29.72 inference(transitivity,[status(thm)],[988, 986])).
% 47.23/29.72 tff(990,plain,
% 47.23/29.72 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB5)) | v102(constB5))),
% 47.23/29.72 inference(quant_inst,[status(thm)],[])).
% 47.23/29.72 tff(991,plain,
% 47.23/29.72 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB5) | (~v106(constB5))),
% 47.23/29.72 inference(modus_ponens,[status(thm)],[990, 989])).
% 47.23/29.72 tff(992,plain,
% 47.23/29.72 (v102(constB5)),
% 47.23/29.72 inference(unit_resolution,[status(thm)],[991, 504, 985])).
% 47.23/29.72 tff(993,plain,
% 47.23/29.72 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(994,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 47.23/29.73 tff(995,plain,
% 47.23/29.73 (nextState(constB5, constB6)),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[994, 993])).
% 47.23/29.73 tff(996,plain,
% 47.23/29.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(997,plain,
% 47.23/29.73 (((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6)) <=> ((~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(998,plain,
% 47.23/29.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5))))),
% 47.23/29.73 inference(monotonicity,[status(thm)],[997])).
% 47.23/29.73 tff(999,plain,
% 47.23/29.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))),
% 47.23/29.73 inference(transitivity,[status(thm)],[998, 996])).
% 47.23/29.73 tff(1000,plain,
% 47.23/29.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6))),
% 47.23/29.73 inference(quant_inst,[status(thm)],[])).
% 47.23/29.73 tff(1001,plain,
% 47.23/29.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1000, 999])).
% 47.23/29.73 tff(1002,plain,
% 47.23/29.73 (v104(constB6) | (~v102(constB5))),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1001, 489, 995])).
% 47.23/29.73 tff(1003,plain,
% 47.23/29.73 (v104(constB6)),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1002, 992])).
% 47.23/29.73 tff(1004,plain,
% 47.23/29.73 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1005,plain,
% 47.23/29.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6)))),
% 47.23/29.73 inference(quant_inst,[status(thm)],[])).
% 47.23/29.73 tff(1006,plain,
% 47.23/29.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1005, 1004])).
% 47.23/29.73 tff(1007,plain,
% 47.23/29.73 (~v98(constB6)),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1006, 423, 995, 812])).
% 47.23/29.73 tff(1008,plain,
% 47.23/29.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB5, constB6)) | v96(constB6) | v98(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB5, constB6)) | v96(constB6) | v98(constB6))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1009,plain,
% 47.23/29.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB5, constB6)) | v96(constB6) | v98(constB6))),
% 47.23/29.73 inference(quant_inst,[status(thm)],[])).
% 47.23/29.73 tff(1010,plain,
% 47.23/29.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB5, constB6)) | v96(constB6) | v98(constB6)),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1009, 1008])).
% 47.23/29.73 tff(1011,plain,
% 47.23/29.73 (v96(constB6) | v98(constB6)),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1010, 437, 995])).
% 47.23/29.73 tff(1012,plain,
% 47.23/29.73 (v96(constB6)),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1011, 1007])).
% 47.23/29.73 tff(1013,plain,
% 47.23/29.73 (v1(constB6) <=> v1(constB6)),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1014,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 47.23/29.73 tff(1015,plain,
% 47.23/29.73 (v1(constB6)),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 47.23/29.73 tff(1016,plain,
% 47.23/29.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1017,plain,
% 47.23/29.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6)))),
% 47.23/29.73 inference(quant_inst,[status(thm)],[])).
% 47.23/29.73 tff(1018,plain,
% 47.23/29.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1017, 1016])).
% 47.23/29.73 tff(1019,plain,
% 47.23/29.73 (v95(constB6) | (~v96(constB6))),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1018, 455, 995, 1015])).
% 47.23/29.73 tff(1020,plain,
% 47.23/29.73 (v95(constB6)),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1019, 1012])).
% 47.23/29.73 tff(1021,plain,
% 47.23/29.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1022,plain,
% 47.23/29.73 (((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6)) <=> ((~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1023,plain,
% 47.23/29.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6))))),
% 47.23/29.73 inference(monotonicity,[status(thm)],[1022])).
% 47.23/29.73 tff(1024,plain,
% 47.23/29.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))),
% 47.23/29.73 inference(transitivity,[status(thm)],[1023, 1021])).
% 47.23/29.73 tff(1025,plain,
% 47.23/29.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6))),
% 47.23/29.73 inference(quant_inst,[status(thm)],[])).
% 47.23/29.73 tff(1026,plain,
% 47.23/29.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 47.23/29.73 tff(1027,plain,
% 47.23/29.73 (v94(constB6) | (~v95(constB6)) | (~v104(constB6))),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1026, 470, 995])).
% 47.23/29.73 tff(1028,plain,
% 47.23/29.73 (v94(constB6) | (~v104(constB6))),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1027, 1020])).
% 47.23/29.73 tff(1029,plain,
% 47.23/29.73 (v94(constB6)),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1028, 1003])).
% 47.23/29.73 tff(1030,plain,
% 47.23/29.73 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 47.23/29.73 inference(bind,[status(th)],[])).
% 47.23/29.73 tff(1031,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.23/29.73 inference(quant_intro,[status(thm)],[1030])).
% 47.23/29.73 tff(1032,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1033,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 47.23/29.73 tff(1034,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 47.23/29.73 tff(1035,plain,(
% 47.23/29.73 ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.23/29.73 inference(skolemize,[status(sab)],[1034])).
% 47.23/29.73 tff(1036,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1035, 1031])).
% 47.23/29.73 tff(1037,plain,
% 47.23/29.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB5)) | (~v84(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB5)) | (~v84(constB5, bitIndex2)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1038,plain,
% 47.23/29.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB5)) | (~v84(constB5, bitIndex2)))),
% 47.23/29.73 inference(quant_inst,[status(thm)],[])).
% 47.23/29.73 tff(1039,plain,
% 47.23/29.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB5)) | (~v84(constB5, bitIndex2))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 47.23/29.73 tff(1040,plain,
% 47.23/29.73 (~v115(constB5)),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1039, 1036, 836])).
% 47.23/29.73 tff(1041,plain,
% 47.23/29.73 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 47.23/29.73 inference(bind,[status(th)],[])).
% 47.23/29.73 tff(1042,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.23/29.73 inference(quant_intro,[status(thm)],[1041])).
% 47.23/29.73 tff(1043,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1044,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 47.23/29.73 tff(1045,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1044, 1043])).
% 47.23/29.73 tff(1046,plain,(
% 47.23/29.73 ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.23/29.73 inference(skolemize,[status(sab)],[1045])).
% 47.23/29.73 tff(1047,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1046, 1042])).
% 47.23/29.73 tff(1048,plain,
% 47.23/29.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB5)) | (~v84(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB5)) | (~v84(constB5, bitIndex2)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1049,plain,
% 47.23/29.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB5)) | (~v84(constB5, bitIndex2)))),
% 47.23/29.73 inference(quant_inst,[status(thm)],[])).
% 47.23/29.73 tff(1050,plain,
% 47.23/29.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB5)) | (~v84(constB5, bitIndex2))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 47.23/29.73 tff(1051,plain,
% 47.23/29.73 (~v116(constB5)),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1050, 1047, 836])).
% 47.23/29.73 tff(1052,plain,
% 47.23/29.73 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 47.23/29.73 inference(bind,[status(th)],[])).
% 47.23/29.73 tff(1053,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(quant_intro,[status(thm)],[1052])).
% 47.23/29.73 tff(1054,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1055,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 47.23/29.73 tff(1056,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1055, 1054])).
% 47.23/29.73 tff(1057,plain,(
% 47.23/29.73 ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(skolemize,[status(sab)],[1056])).
% 47.23/29.73 tff(1058,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1057, 1053])).
% 47.23/29.73 tff(1059,plain,
% 47.23/29.73 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB5)) | (~v84(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB5)) | (~v84(constB5, bitIndex1)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1060,plain,
% 47.23/29.73 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB5)) | (~v84(constB5, bitIndex1)))),
% 47.23/29.73 inference(quant_inst,[status(thm)],[])).
% 47.23/29.73 tff(1061,plain,
% 47.23/29.73 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB5)) | (~v84(constB5, bitIndex1))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1060, 1059])).
% 47.23/29.73 tff(1062,plain,
% 47.23/29.73 (~v113(constB5)),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1061, 1058, 914])).
% 47.23/29.73 tff(1063,plain,
% 47.23/29.73 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 47.23/29.73 inference(bind,[status(th)],[])).
% 47.23/29.73 tff(1064,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(quant_intro,[status(thm)],[1063])).
% 47.23/29.73 tff(1065,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1066,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 47.23/29.73 tff(1067,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 47.23/29.73 tff(1068,plain,(
% 47.23/29.73 ![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(skolemize,[status(sab)],[1067])).
% 47.23/29.73 tff(1069,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1068, 1064])).
% 47.23/29.73 tff(1070,plain,
% 47.23/29.73 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB5)) | (~v84(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB5)) | (~v84(constB5, bitIndex1)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1071,plain,
% 47.23/29.73 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB5)) | (~v84(constB5, bitIndex1)))),
% 47.23/29.73 inference(quant_inst,[status(thm)],[])).
% 47.23/29.73 tff(1072,plain,
% 47.23/29.73 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB5)) | (~v84(constB5, bitIndex1))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 47.23/29.73 tff(1073,plain,
% 47.23/29.73 (~v118(constB5)),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1072, 1069, 914])).
% 47.23/29.73 tff(1074,plain,
% 47.23/29.73 (^[VarCurr: state_type] : refl(((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 47.23/29.73 inference(bind,[status(th)],[])).
% 47.23/29.73 tff(1075,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(quant_intro,[status(thm)],[1074])).
% 47.23/29.73 tff(1076,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1077,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_3')).
% 47.23/29.73 tff(1078,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1077, 1076])).
% 47.23/29.73 tff(1079,plain,(
% 47.23/29.73 ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(skolemize,[status(sab)],[1078])).
% 47.23/29.73 tff(1080,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1079, 1075])).
% 47.23/29.73 tff(1081,plain,
% 47.23/29.73 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB5)) | (~v84(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB5)) | (~v84(constB5, bitIndex1)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1082,plain,
% 47.23/29.73 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB5)) | (~v84(constB5, bitIndex1)))),
% 47.23/29.73 inference(quant_inst,[status(thm)],[])).
% 47.23/29.73 tff(1083,plain,
% 47.23/29.73 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB5)) | (~v84(constB5, bitIndex1))),
% 47.23/29.73 inference(modus_ponens,[status(thm)],[1082, 1081])).
% 47.23/29.73 tff(1084,plain,
% 47.23/29.73 (~v172(constB5)),
% 47.23/29.73 inference(unit_resolution,[status(thm)],[1083, 1080, 914])).
% 47.23/29.73 tff(1085,plain,
% 47.23/29.73 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 47.23/29.73 inference(bind,[status(th)],[])).
% 47.23/29.73 tff(1086,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(quant_intro,[status(thm)],[1085])).
% 47.23/29.73 tff(1087,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.73 inference(rewrite,[status(thm)],[])).
% 47.23/29.73 tff(1088,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 47.23/29.73 tff(1089,plain,
% 47.23/29.73 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.74 inference(modus_ponens,[status(thm)],[1088, 1087])).
% 47.23/29.74 tff(1090,plain,(
% 47.23/29.74 ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.74 inference(skolemize,[status(sab)],[1089])).
% 47.23/29.74 tff(1091,plain,
% 47.23/29.74 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 47.23/29.74 inference(modus_ponens,[status(thm)],[1090, 1086])).
% 47.23/29.74 tff(1092,plain,
% 47.23/29.74 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB5)) | (~v84(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB5)) | (~v84(constB5, bitIndex1)))),
% 47.23/29.74 inference(rewrite,[status(thm)],[])).
% 47.23/29.74 tff(1093,plain,
% 47.23/29.74 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB5)) | (~v84(constB5, bitIndex1)))),
% 47.23/29.74 inference(quant_inst,[status(thm)],[])).
% 47.23/29.74 tff(1094,plain,
% 47.23/29.74 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB5)) | (~v84(constB5, bitIndex1))),
% 47.23/29.74 inference(modus_ponens,[status(thm)],[1093, 1092])).
% 47.23/29.74 tff(1095,plain,
% 47.23/29.74 (~v145(constB5)),
% 47.23/29.74 inference(unit_resolution,[status(thm)],[1094, 1091, 914])).
% 47.23/29.74 tff(1096,plain,
% 47.23/29.74 (^[VarCurr: state_type] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))))),
% 47.23/29.74 inference(bind,[status(th)],[])).
% 47.23/29.74 tff(1097,plain,
% 47.23/29.74 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 47.23/29.74 inference(quant_intro,[status(thm)],[1096])).
% 47.23/29.74 tff(1098,plain,
% 47.23/29.74 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 47.23/29.74 inference(rewrite,[status(thm)],[])).
% 47.23/29.74 tff(1099,plain,
% 47.23/29.74 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr))), ((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr)) | v116(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr)) | v116(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr))), ((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)))), (((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)) | v172(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)) | v172(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr))), (((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)))), ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)) | v118(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)) | v118(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr))), ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)))), (((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)) | (~v124(VarCurr, bitIndex1))))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), (((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))))),
% 47.23/29.74 inference(bind,[status(th)],[])).
% 47.23/29.74 tff(1100,plain,
% 47.23/29.74 (![VarCurr: state_type] : ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 47.23/29.74 inference(quant_intro,[status(thm)],[1099])).
% 47.23/29.74 tff(1101,axiom,(![VarCurr: state_type] : ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_2')).
% 47.23/29.74 tff(1102,plain,
% 47.23/29.74 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 47.23/29.74 inference(modus_ponens,[status(thm)],[1101, 1100])).
% 47.23/29.74 tff(1103,plain,
% 47.23/29.74 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 47.23/29.74 inference(modus_ponens,[status(thm)],[1102, 1098])).
% 47.23/29.74 tff(1104,plain,(
% 47.23/29.74 ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 47.23/29.74 inference(skolemize,[status(sab)],[1103])).
% 47.23/29.74 tff(1105,plain,
% 47.23/29.74 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 47.23/29.74 inference(modus_ponens,[status(thm)],[1104, 1097])).
% 47.23/29.74 tff(1106,plain,
% 47.23/29.74 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | (~v124(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | (~v124(constB5, bitIndex1)))),
% 47.23/29.74 inference(rewrite,[status(thm)],[])).
% 47.23/29.74 tff(1107,plain,
% 47.23/29.74 ((v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex1))) <=> (v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | (~v124(constB5, bitIndex1)))),
% 47.23/29.74 inference(rewrite,[status(thm)],[])).
% 47.23/29.74 tff(1108,plain,
% 47.23/29.74 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | (~v124(constB5, bitIndex1))))),
% 47.23/29.74 inference(monotonicity,[status(thm)],[1107])).
% 47.23/29.74 tff(1109,plain,
% 47.23/29.74 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | (~v124(constB5, bitIndex1)))),
% 47.23/29.74 inference(transitivity,[status(thm)],[1108, 1106])).
% 47.23/29.74 tff(1110,plain,
% 47.23/29.74 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex1)))),
% 47.23/29.74 inference(quant_inst,[status(thm)],[])).
% 47.23/29.74 tff(1111,plain,
% 47.23/29.74 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | (~v124(constB5, bitIndex1))),
% 47.23/29.74 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 47.23/29.74 tff(1112,plain,
% 47.23/29.74 (~v124(constB5, bitIndex1)),
% 47.23/29.74 inference(unit_resolution,[status(thm)],[1111, 1105, 1095, 1084, 1073, 1062, 1051, 1040])).
% 47.23/29.74 tff(1113,plain,
% 47.23/29.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB5, bitIndex1)) | v26(constB5) | v124(constB5, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB5, bitIndex1)) | v26(constB5) | v124(constB5, bitIndex1))),
% 47.23/29.74 inference(rewrite,[status(thm)],[])).
% 47.23/29.74 tff(1114,plain,
% 47.23/29.74 ((v26(constB5) | v124(constB5, bitIndex1) | (~v121(constB5, bitIndex1))) <=> ((~v121(constB5, bitIndex1)) | v26(constB5) | v124(constB5, bitIndex1))),
% 47.23/29.74 inference(rewrite,[status(thm)],[])).
% 47.23/29.74 tff(1115,plain,
% 47.23/29.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB5) | v124(constB5, bitIndex1) | (~v121(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB5, bitIndex1)) | v26(constB5) | v124(constB5, bitIndex1)))),
% 47.23/29.74 inference(monotonicity,[status(thm)],[1114])).
% 47.23/29.74 tff(1116,plain,
% 47.23/29.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB5) | v124(constB5, bitIndex1) | (~v121(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB5, bitIndex1)) | v26(constB5) | v124(constB5, bitIndex1))),
% 47.23/29.74 inference(transitivity,[status(thm)],[1115, 1113])).
% 47.23/29.74 tff(1117,plain,
% 47.23/29.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB5) | v124(constB5, bitIndex1) | (~v121(constB5, bitIndex1)))),
% 47.23/29.74 inference(quant_inst,[status(thm)],[])).
% 47.23/29.74 tff(1118,plain,
% 47.23/29.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB5, bitIndex1)) | v26(constB5) | v124(constB5, bitIndex1)),
% 47.23/29.74 inference(modus_ponens,[status(thm)],[1117, 1116])).
% 47.23/29.74 tff(1119,plain,
% 47.23/29.74 ((~v121(constB5, bitIndex1)) | v26(constB5)),
% 47.23/29.74 inference(unit_resolution,[status(thm)],[1118, 233, 1112])).
% 47.23/29.74 tff(1120,plain,
% 47.23/29.74 (~v121(constB5, bitIndex1)),
% 47.23/29.74 inference(unit_resolution,[status(thm)],[1119, 86])).
% 47.23/29.74 tff(1121,plain,
% 47.23/29.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v121(constB5, bitIndex1) | (~v123(constB6, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v121(constB5, bitIndex1) | (~v123(constB6, bitIndex1)))),
% 47.23/29.74 inference(rewrite,[status(thm)],[])).
% 47.23/29.74 tff(1122,plain,
% 47.23/29.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v121(constB5, bitIndex1) | (~v123(constB6, bitIndex1)))),
% 47.23/29.74 inference(quant_inst,[status(thm)],[])).
% 47.23/29.74 tff(1123,plain,
% 47.23/29.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v121(constB5, bitIndex1) | (~v123(constB6, bitIndex1))),
% 47.23/29.74 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 47.23/29.74 tff(1124,plain,
% 47.23/29.74 (v121(constB5, bitIndex1) | (~v123(constB6, bitIndex1))),
% 47.23/29.74 inference(unit_resolution,[status(thm)],[1123, 254, 995])).
% 47.23/29.74 tff(1125,plain,
% 47.23/29.74 (~v123(constB6, bitIndex1)),
% 47.23/29.74 inference(unit_resolution,[status(thm)],[1124, 1120])).
% 47.23/29.74 tff(1126,plain,
% 47.23/29.74 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | v123(constB6, bitIndex1) | (~v94(constB6)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB6, bitIndex1)) | v123(constB6, bitIndex1) | (~v94(constB6)))),
% 47.23/29.74 inference(rewrite,[status(thm)],[])).
% 47.23/29.74 tff(1127,plain,
% 47.23/29.74 (((~v84(constB6, bitIndex1)) | (~v94(constB6)) | v123(constB6, bitIndex1)) <=> ((~v84(constB6, bitIndex1)) | v123(constB6, bitIndex1) | (~v94(constB6)))),
% 47.23/29.74 inference(rewrite,[status(thm)],[])).
% 47.23/29.74 tff(1128,plain,
% 47.23/29.74 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | (~v94(constB6)) | v123(constB6, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | v123(constB6, bitIndex1) | (~v94(constB6))))),
% 47.23/29.74 inference(monotonicity,[status(thm)],[1127])).
% 47.23/29.74 tff(1129,plain,
% 47.23/29.74 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | (~v94(constB6)) | v123(constB6, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB6, bitIndex1)) | v123(constB6, bitIndex1) | (~v94(constB6)))),
% 47.23/29.74 inference(transitivity,[status(thm)],[1128, 1126])).
% 47.23/29.74 tff(1130,plain,
% 47.23/29.74 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | (~v94(constB6)) | v123(constB6, bitIndex1))),
% 47.23/29.74 inference(quant_inst,[status(thm)],[])).
% 47.23/29.74 tff(1131,plain,
% 47.23/29.74 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB6, bitIndex1)) | v123(constB6, bitIndex1) | (~v94(constB6))),
% 47.23/29.74 inference(modus_ponens,[status(thm)],[1130, 1129])).
% 47.23/29.74 tff(1132,plain,
% 47.23/29.74 ((~v84(constB6, bitIndex1)) | (~v94(constB6))),
% 47.23/29.74 inference(unit_resolution,[status(thm)],[1131, 532, 1125])).
% 47.23/29.74 tff(1133,plain,
% 47.23/29.74 (~v84(constB6, bitIndex1)),
% 47.23/29.74 inference(unit_resolution,[status(thm)],[1132, 1029])).
% 47.23/29.74 tff(1134,plain,
% 47.23/29.74 ((~v1(constB7)) <=> (~v1(constB7))),
% 47.23/29.74 inference(rewrite,[status(thm)],[])).
% 47.23/29.74 tff(1135,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 47.23/29.74 tff(1136,plain,
% 47.23/29.74 (~v1(constB7)),
% 47.23/29.74 inference(modus_ponens,[status(thm)],[1135, 1134])).
% 47.23/29.74 tff(1137,plain,
% 47.23/29.74 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 47.23/29.74 inference(rewrite,[status(thm)],[])).
% 47.23/29.74 tff(1138,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 47.23/29.74 tff(1139,plain,
% 47.23/29.74 (nextState(constB6, constB7)),
% 47.23/29.74 inference(modus_ponens,[status(thm)],[1138, 1137])).
% 47.23/29.74 tff(1140,plain,
% 47.23/29.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))),
% 47.23/29.75 inference(rewrite,[status(thm)],[])).
% 47.23/29.75 tff(1141,plain,
% 47.23/29.75 (((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))),
% 47.23/29.75 inference(rewrite,[status(thm)],[])).
% 47.23/29.75 tff(1142,plain,
% 47.23/29.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7))))),
% 47.23/29.75 inference(monotonicity,[status(thm)],[1141])).
% 47.23/29.75 tff(1143,plain,
% 47.23/29.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))),
% 47.23/29.75 inference(transitivity,[status(thm)],[1142, 1140])).
% 47.23/29.75 tff(1144,plain,
% 47.23/29.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7))),
% 47.23/29.75 inference(quant_inst,[status(thm)],[])).
% 47.23/29.75 tff(1145,plain,
% 47.23/29.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7))),
% 47.23/29.75 inference(modus_ponens,[status(thm)],[1144, 1143])).
% 47.23/29.75 tff(1146,plain,
% 47.23/29.75 (~v95(constB7)),
% 47.23/29.75 inference(unit_resolution,[status(thm)],[1145, 110, 1139, 1136])).
% 47.23/29.75 tff(1147,plain,
% 47.23/29.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7)))),
% 47.23/29.75 inference(rewrite,[status(thm)],[])).
% 47.23/29.75 tff(1148,plain,
% 47.23/29.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7)))),
% 47.23/29.75 inference(quant_inst,[status(thm)],[])).
% 47.23/29.75 tff(1149,plain,
% 47.23/29.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7))),
% 47.23/29.75 inference(modus_ponens,[status(thm)],[1148, 1147])).
% 47.23/29.75 tff(1150,plain,
% 47.23/29.75 (v95(constB7) | (~v94(constB7))),
% 47.23/29.75 inference(unit_resolution,[status(thm)],[1149, 127, 1139])).
% 47.23/29.75 tff(1151,plain,
% 47.23/29.75 (~v94(constB7)),
% 47.23/29.75 inference(unit_resolution,[status(thm)],[1150, 1146])).
% 47.23/29.75 tff(1152,plain,
% 47.23/29.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex1)))),
% 47.23/29.75 inference(rewrite,[status(thm)],[])).
% 47.23/29.75 tff(1153,plain,
% 47.23/29.75 (((~nextState(constB6, constB7)) | v84(constB6, bitIndex1) | v94(constB7) | (~v84(constB7, bitIndex1))) <=> (v84(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex1)))),
% 47.23/29.75 inference(rewrite,[status(thm)],[])).
% 47.23/29.75 tff(1154,plain,
% 47.23/29.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex1) | v94(constB7) | (~v84(constB7, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex1))))),
% 47.23/29.75 inference(monotonicity,[status(thm)],[1153])).
% 47.23/29.75 tff(1155,plain,
% 47.23/29.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex1) | v94(constB7) | (~v84(constB7, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex1)))),
% 47.23/29.75 inference(transitivity,[status(thm)],[1154, 1152])).
% 47.23/29.75 tff(1156,plain,
% 47.23/29.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex1) | v94(constB7) | (~v84(constB7, bitIndex1)))),
% 47.23/29.75 inference(quant_inst,[status(thm)],[])).
% 47.23/29.75 tff(1157,plain,
% 47.23/29.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex1))),
% 47.23/29.75 inference(modus_ponens,[status(thm)],[1156, 1155])).
% 47.23/29.75 tff(1158,plain,
% 47.23/29.75 (v84(constB6, bitIndex1) | v94(constB7) | (~v84(constB7, bitIndex1))),
% 47.23/29.75 inference(unit_resolution,[status(thm)],[1157, 163, 1139])).
% 47.23/29.75 tff(1159,plain,
% 47.23/29.75 (v84(constB6, bitIndex1) | (~v84(constB7, bitIndex1))),
% 47.23/29.75 inference(unit_resolution,[status(thm)],[1158, 1151])).
% 47.23/29.75 tff(1160,plain,
% 47.23/29.75 (~v84(constB7, bitIndex1)),
% 47.23/29.75 inference(unit_resolution,[status(thm)],[1159, 1133])).
% 47.23/29.75 tff(1161,plain,
% 47.23/29.75 (^[VarCurr: state_type] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))))),
% 47.23/29.75 inference(bind,[status(th)],[])).
% 47.23/29.75 tff(1162,plain,
% 47.23/29.75 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(quant_intro,[status(thm)],[1161])).
% 47.23/29.75 tff(1163,plain,
% 47.23/29.75 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(rewrite,[status(thm)],[])).
% 47.23/29.75 tff(1164,plain,
% 47.23/29.75 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr))), ((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr)) | v116(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr)) | v116(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr))), ((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)))), (((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)) | v172(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)) | v172(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr))), (((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)))), ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)) | v118(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)) | v118(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr))), ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)))), (((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)) | (~v124(VarCurr, bitIndex2))))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), (((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))))),
% 47.23/29.75 inference(bind,[status(th)],[])).
% 47.23/29.75 tff(1165,plain,
% 47.23/29.75 (![VarCurr: state_type] : ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(quant_intro,[status(thm)],[1164])).
% 47.23/29.75 tff(1166,axiom,(![VarCurr: state_type] : ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_3')).
% 47.23/29.75 tff(1167,plain,
% 47.23/29.75 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 47.23/29.75 tff(1168,plain,
% 47.23/29.75 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(modus_ponens,[status(thm)],[1167, 1163])).
% 47.23/29.75 tff(1169,plain,(
% 47.23/29.75 ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(skolemize,[status(sab)],[1168])).
% 47.23/29.75 tff(1170,plain,
% 47.23/29.75 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(modus_ponens,[status(thm)],[1169, 1162])).
% 47.23/29.75 tff(1171,plain,
% 47.23/29.75 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | (~v124(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | (~v124(constB5, bitIndex2)))),
% 47.23/29.75 inference(rewrite,[status(thm)],[])).
% 47.23/29.75 tff(1172,plain,
% 47.23/29.75 ((v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex2))) <=> (v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | (~v124(constB5, bitIndex2)))),
% 47.23/29.75 inference(rewrite,[status(thm)],[])).
% 47.23/29.75 tff(1173,plain,
% 47.23/29.75 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | (~v124(constB5, bitIndex2))))),
% 47.23/29.75 inference(monotonicity,[status(thm)],[1172])).
% 47.23/29.75 tff(1174,plain,
% 47.23/29.75 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | (~v124(constB5, bitIndex2)))),
% 47.23/29.75 inference(transitivity,[status(thm)],[1173, 1171])).
% 47.23/29.75 tff(1175,plain,
% 47.23/29.75 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex2)))),
% 47.23/29.75 inference(quant_inst,[status(thm)],[])).
% 47.23/29.75 tff(1176,plain,
% 47.23/29.75 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | (~v124(constB5, bitIndex2))),
% 47.23/29.75 inference(modus_ponens,[status(thm)],[1175, 1174])).
% 47.23/29.75 tff(1177,plain,
% 47.23/29.75 (~v124(constB5, bitIndex2)),
% 47.23/29.75 inference(unit_resolution,[status(thm)],[1176, 1170, 1095, 1084, 1073, 1062, 1051, 1040])).
% 47.23/29.75 tff(1178,plain,
% 47.23/29.75 (^[VarCurr: state_type] : refl((v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))))),
% 47.23/29.75 inference(bind,[status(th)],[])).
% 47.23/29.75 tff(1179,plain,
% 47.23/29.75 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(quant_intro,[status(thm)],[1178])).
% 47.23/29.75 tff(1180,plain,
% 47.23/29.75 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(rewrite,[status(thm)],[])).
% 47.23/29.75 tff(1181,plain,
% 47.23/29.75 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v121(VarCurr, bitIndex2))) | v124(VarCurr, bitIndex2)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))))),
% 47.23/29.75 inference(bind,[status(th)],[])).
% 47.23/29.75 tff(1182,plain,
% 47.23/29.75 (![VarCurr: state_type] : ((v26(VarCurr) | (~v121(VarCurr, bitIndex2))) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(quant_intro,[status(thm)],[1181])).
% 47.23/29.75 tff(1183,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v121(VarCurr, bitIndex2))) | v124(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 47.23/29.75 tff(1184,plain,
% 47.23/29.75 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(modus_ponens,[status(thm)],[1183, 1182])).
% 47.23/29.75 tff(1185,plain,
% 47.23/29.75 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(modus_ponens,[status(thm)],[1184, 1180])).
% 47.23/29.75 tff(1186,plain,(
% 47.23/29.75 ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(skolemize,[status(sab)],[1185])).
% 47.23/29.75 tff(1187,plain,
% 47.23/29.75 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 47.23/29.75 inference(modus_ponens,[status(thm)],[1186, 1179])).
% 47.23/29.75 tff(1188,plain,
% 47.23/29.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))),
% 47.23/29.75 inference(rewrite,[status(thm)],[])).
% 47.23/29.75 tff(1189,plain,
% 47.23/29.75 ((v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2))) <=> ((~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))),
% 47.23/29.75 inference(rewrite,[status(thm)],[])).
% 47.23/29.75 tff(1190,plain,
% 47.23/29.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2)))),
% 47.23/29.75 inference(monotonicity,[status(thm)],[1189])).
% 47.23/29.75 tff(1191,plain,
% 47.23/29.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))),
% 47.23/29.75 inference(transitivity,[status(thm)],[1190, 1188])).
% 47.23/29.75 tff(1192,plain,
% 47.23/29.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2)))),
% 47.23/29.75 inference(quant_inst,[status(thm)],[])).
% 47.23/29.75 tff(1193,plain,
% 47.23/29.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2)),
% 47.23/29.75 inference(modus_ponens,[status(thm)],[1192, 1191])).
% 47.23/29.75 tff(1194,plain,
% 47.23/29.75 ((~v121(constB5, bitIndex2)) | v26(constB5)),
% 47.23/29.75 inference(unit_resolution,[status(thm)],[1193, 1187, 1177])).
% 47.23/29.75 tff(1195,plain,
% 47.23/29.75 (~v121(constB5, bitIndex2)),
% 47.23/29.75 inference(unit_resolution,[status(thm)],[1194, 86])).
% 47.23/29.75 tff(1196,plain,
% 47.23/29.75 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))))),
% 47.23/29.75 inference(bind,[status(th)],[])).
% 47.23/29.75 tff(1197,plain,
% 47.23/29.75 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 47.23/29.75 inference(quant_intro,[status(thm)],[1196])).
% 47.23/29.75 tff(1198,plain,
% 47.23/29.75 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 47.23/29.75 inference(rewrite,[status(thm)],[])).
% 47.23/29.75 tff(1199,plain,
% 47.23/29.75 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex2))) | v121(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))))),
% 47.23/29.75 inference(bind,[status(th)],[])).
% 47.31/29.76 tff(1200,plain,
% 47.31/29.76 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex2))) | v121(VarCurr, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 47.31/29.76 inference(quant_intro,[status(thm)],[1199])).
% 47.31/29.76 tff(1201,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex2))) | v121(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 47.31/29.76 tff(1202,plain,
% 47.31/29.76 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1201, 1200])).
% 47.31/29.76 tff(1203,plain,
% 47.31/29.76 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1202, 1198])).
% 47.31/29.76 tff(1204,plain,(
% 47.31/29.76 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 47.31/29.76 inference(skolemize,[status(sab)],[1203])).
% 47.31/29.76 tff(1205,plain,
% 47.31/29.76 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1204, 1197])).
% 47.31/29.76 tff(1206,plain,
% 47.31/29.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2)))),
% 47.31/29.76 inference(rewrite,[status(thm)],[])).
% 47.31/29.76 tff(1207,plain,
% 47.31/29.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2)))),
% 47.31/29.76 inference(quant_inst,[status(thm)],[])).
% 47.31/29.76 tff(1208,plain,
% 47.31/29.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1207, 1206])).
% 47.31/29.76 tff(1209,plain,
% 47.31/29.76 (v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2))),
% 47.31/29.76 inference(unit_resolution,[status(thm)],[1208, 1205, 995])).
% 47.31/29.76 tff(1210,plain,
% 47.31/29.76 (~v123(constB6, bitIndex2)),
% 47.31/29.76 inference(unit_resolution,[status(thm)],[1209, 1195])).
% 47.31/29.76 tff(1211,plain,
% 47.31/29.76 (^[VarNext: state_type] : refl(((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext))))),
% 47.31/29.76 inference(bind,[status(th)],[])).
% 47.31/29.76 tff(1212,plain,
% 47.31/29.76 (![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext))) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 47.31/29.76 inference(quant_intro,[status(thm)],[1211])).
% 47.31/29.76 tff(1213,plain,
% 47.31/29.76 (![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext))) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 47.31/29.76 inference(rewrite,[status(thm)],[])).
% 47.31/29.76 tff(1214,plain,
% 47.31/29.76 (^[VarNext: state_type] : rewrite((((~v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v123(VarNext, bitIndex2)) <=> ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext))))),
% 47.31/29.76 inference(bind,[status(th)],[])).
% 47.31/29.76 tff(1215,plain,
% 47.31/29.76 (![VarNext: state_type] : (((~v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v123(VarNext, bitIndex2)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 47.31/29.76 inference(quant_intro,[status(thm)],[1214])).
% 47.31/29.76 tff(1216,axiom,(![VarNext: state_type] : (((~v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v123(VarNext, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 47.31/29.76 tff(1217,plain,
% 47.31/29.76 (![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1216, 1215])).
% 47.31/29.76 tff(1218,plain,
% 47.31/29.76 (![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1217, 1213])).
% 47.31/29.76 tff(1219,plain,(
% 47.31/29.76 ![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 47.31/29.76 inference(skolemize,[status(sab)],[1218])).
% 47.31/29.76 tff(1220,plain,
% 47.31/29.76 (![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1219, 1212])).
% 47.31/29.76 tff(1221,plain,
% 47.31/29.76 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))),
% 47.31/29.76 inference(rewrite,[status(thm)],[])).
% 47.31/29.76 tff(1222,plain,
% 47.31/29.76 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))),
% 47.31/29.76 inference(quant_inst,[status(thm)],[])).
% 47.31/29.76 tff(1223,plain,
% 47.31/29.76 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1222, 1221])).
% 47.31/29.76 tff(1224,plain,
% 47.31/29.76 ((~v84(constB6, bitIndex2)) | (~v94(constB6))),
% 47.31/29.76 inference(unit_resolution,[status(thm)],[1223, 1220, 1210])).
% 47.31/29.76 tff(1225,plain,
% 47.31/29.76 (~v84(constB6, bitIndex2)),
% 47.31/29.76 inference(unit_resolution,[status(thm)],[1224, 1029])).
% 47.31/29.76 tff(1226,plain,
% 47.31/29.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 47.31/29.76 inference(rewrite,[status(thm)],[])).
% 47.31/29.76 tff(1227,plain,
% 47.31/29.76 (((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2))) <=> (v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 47.31/29.76 inference(rewrite,[status(thm)],[])).
% 47.31/29.76 tff(1228,plain,
% 47.31/29.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2))))),
% 47.31/29.76 inference(monotonicity,[status(thm)],[1227])).
% 47.31/29.76 tff(1229,plain,
% 47.31/29.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 47.31/29.76 inference(transitivity,[status(thm)],[1228, 1226])).
% 47.31/29.76 tff(1230,plain,
% 47.31/29.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 47.31/29.76 inference(quant_inst,[status(thm)],[])).
% 47.31/29.76 tff(1231,plain,
% 47.31/29.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1230, 1229])).
% 47.31/29.76 tff(1232,plain,
% 47.31/29.76 (v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2))),
% 47.31/29.76 inference(unit_resolution,[status(thm)],[1231, 142, 1139])).
% 47.31/29.76 tff(1233,plain,
% 47.31/29.76 (v84(constB6, bitIndex2) | (~v84(constB7, bitIndex2))),
% 47.31/29.76 inference(unit_resolution,[status(thm)],[1232, 1151])).
% 47.31/29.76 tff(1234,plain,
% 47.31/29.76 (~v84(constB7, bitIndex2)),
% 47.31/29.76 inference(unit_resolution,[status(thm)],[1233, 1225])).
% 47.31/29.76 tff(1235,assumption,(~v84(constB7, bitIndex1)), introduced(assumption)).
% 47.31/29.76 tff(1236,assumption,(~v112(constB7)), introduced(assumption)).
% 47.31/29.76 tff(1237,plain,
% 47.31/29.76 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB7) | (~v113(constB7)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB7) | (~v113(constB7)))),
% 47.31/29.76 inference(rewrite,[status(thm)],[])).
% 47.31/29.76 tff(1238,plain,
% 47.31/29.76 (((~v113(constB7)) | v112(constB7)) <=> (v112(constB7) | (~v113(constB7)))),
% 47.31/29.76 inference(rewrite,[status(thm)],[])).
% 47.31/29.76 tff(1239,plain,
% 47.31/29.76 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB7) | (~v113(constB7))))),
% 47.31/29.76 inference(monotonicity,[status(thm)],[1238])).
% 47.31/29.76 tff(1240,plain,
% 47.31/29.76 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB7) | (~v113(constB7)))),
% 47.31/29.76 inference(transitivity,[status(thm)],[1239, 1237])).
% 47.31/29.76 tff(1241,plain,
% 47.31/29.76 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB7)) | v112(constB7))),
% 47.31/29.76 inference(quant_inst,[status(thm)],[])).
% 47.31/29.76 tff(1242,plain,
% 47.31/29.76 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB7) | (~v113(constB7))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1241, 1240])).
% 47.31/29.76 tff(1243,plain,
% 47.31/29.76 (~v113(constB7)),
% 47.31/29.76 inference(unit_resolution,[status(thm)],[1242, 267, 1236])).
% 47.31/29.76 tff(1244,plain,
% 47.31/29.76 (^[VarCurr: state_type] : refl((v112(VarCurr) | (~v145(VarCurr))) <=> (v112(VarCurr) | (~v145(VarCurr))))),
% 47.31/29.76 inference(bind,[status(th)],[])).
% 47.31/29.76 tff(1245,plain,
% 47.31/29.76 (![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 47.31/29.76 inference(quant_intro,[status(thm)],[1244])).
% 47.31/29.76 tff(1246,plain,
% 47.31/29.76 (![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 47.31/29.76 inference(rewrite,[status(thm)],[])).
% 47.31/29.76 tff(1247,plain,
% 47.31/29.76 (^[VarCurr: state_type] : rewrite(((~v145(VarCurr)) | v112(VarCurr)) <=> (v112(VarCurr) | (~v145(VarCurr))))),
% 47.31/29.76 inference(bind,[status(th)],[])).
% 47.31/29.76 tff(1248,plain,
% 47.31/29.76 (![VarCurr: state_type] : ((~v145(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 47.31/29.76 inference(quant_intro,[status(thm)],[1247])).
% 47.31/29.76 tff(1249,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | v112(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1_1')).
% 47.31/29.76 tff(1250,plain,
% 47.31/29.76 (![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1249, 1248])).
% 47.31/29.76 tff(1251,plain,
% 47.31/29.76 (![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1250, 1246])).
% 47.31/29.76 tff(1252,plain,(
% 47.31/29.76 ![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 47.31/29.76 inference(skolemize,[status(sab)],[1251])).
% 47.31/29.76 tff(1253,plain,
% 47.31/29.76 (![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1252, 1245])).
% 47.31/29.76 tff(1254,plain,
% 47.31/29.76 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB7) | (~v145(constB7)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB7) | (~v145(constB7)))),
% 47.31/29.76 inference(rewrite,[status(thm)],[])).
% 47.31/29.76 tff(1255,plain,
% 47.31/29.76 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB7) | (~v145(constB7)))),
% 47.31/29.76 inference(quant_inst,[status(thm)],[])).
% 47.31/29.76 tff(1256,plain,
% 47.31/29.76 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB7) | (~v145(constB7))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 47.31/29.76 tff(1257,plain,
% 47.31/29.76 (~v145(constB7)),
% 47.31/29.76 inference(unit_resolution,[status(thm)],[1256, 1253, 1236])).
% 47.31/29.76 tff(1258,assumption,(~v84(constB7, bitIndex2)), introduced(assumption)).
% 47.31/29.76 tff(1259,plain,
% 47.31/29.76 (^[VarCurr: state_type] : refl(((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)))),
% 47.31/29.76 inference(bind,[status(th)],[])).
% 47.31/29.76 tff(1260,plain,
% 47.31/29.76 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 47.31/29.76 inference(quant_intro,[status(thm)],[1259])).
% 47.31/29.76 tff(1261,plain,
% 47.31/29.76 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 47.31/29.76 inference(rewrite,[status(thm)],[])).
% 47.31/29.76 tff(1262,plain,
% 47.31/29.76 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))), ((((v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex0))) | v145(VarCurr)) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v145(VarCurr)))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v145(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))), ((((v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex0))) | v145(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))))),
% 47.31/29.76 inference(bind,[status(th)],[])).
% 47.31/29.76 tff(1263,plain,
% 47.31/29.76 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex0))) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 47.31/29.76 inference(quant_intro,[status(thm)],[1262])).
% 47.31/29.76 tff(1264,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex0))) | v145(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 47.31/29.76 tff(1265,plain,
% 47.31/29.76 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1264, 1263])).
% 47.31/29.76 tff(1266,plain,
% 47.31/29.76 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 47.31/29.76 inference(modus_ponens,[status(thm)],[1265, 1261])).
% 47.31/29.76 tff(1267,plain,(
% 47.31/29.76 ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 47.31/29.76 inference(skolemize,[status(sab)],[1266])).
% 47.31/29.77 tff(1268,plain,
% 47.31/29.77 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 47.31/29.77 inference(modus_ponens,[status(thm)],[1267, 1260])).
% 47.31/29.77 tff(1269,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB7, bitIndex0)) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v145(constB7))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB7, bitIndex0)) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v145(constB7))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1270,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB7, bitIndex0)) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v145(constB7))),
% 47.31/29.77 inference(quant_inst,[status(thm)],[])).
% 47.31/29.77 tff(1271,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB7, bitIndex0)) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v145(constB7)),
% 47.31/29.77 inference(modus_ponens,[status(thm)],[1270, 1269])).
% 47.31/29.77 tff(1272,plain,
% 47.31/29.77 ((~v84(constB7, bitIndex0)) | v84(constB7, bitIndex1) | v145(constB7)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1271, 1268, 1258])).
% 47.31/29.77 tff(1273,plain,
% 47.31/29.77 (~v84(constB7, bitIndex0)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1272, 1257, 1235])).
% 47.31/29.77 tff(1274,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB7, bitIndex0) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v113(constB7))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB7, bitIndex0) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v113(constB7))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1275,plain,
% 47.31/29.77 ((v84(constB7, bitIndex0) | v113(constB7) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2)) <=> (v84(constB7, bitIndex0) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v113(constB7))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1276,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB7, bitIndex0) | v113(constB7) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB7, bitIndex0) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v113(constB7)))),
% 47.31/29.77 inference(monotonicity,[status(thm)],[1275])).
% 47.31/29.77 tff(1277,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB7, bitIndex0) | v113(constB7) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB7, bitIndex0) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v113(constB7))),
% 47.31/29.77 inference(transitivity,[status(thm)],[1276, 1274])).
% 47.31/29.77 tff(1278,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB7, bitIndex0) | v113(constB7) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2))),
% 47.31/29.77 inference(quant_inst,[status(thm)],[])).
% 47.31/29.77 tff(1279,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB7, bitIndex0) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v113(constB7)),
% 47.31/29.77 inference(modus_ponens,[status(thm)],[1278, 1277])).
% 47.31/29.77 tff(1280,plain,
% 47.31/29.77 (v84(constB7, bitIndex0) | v84(constB7, bitIndex1) | v113(constB7)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1279, 205, 1258])).
% 47.31/29.77 tff(1281,plain,
% 47.31/29.77 ($false),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1280, 1273, 1243, 1235])).
% 47.31/29.77 tff(1282,plain,(v112(constB7) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 47.31/29.77 tff(1283,plain,
% 47.31/29.77 (v112(constB7)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1282, 1234, 1160])).
% 47.31/29.77 tff(1284,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB7) | (~v112(constB7)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1285,plain,
% 47.31/29.77 (((~v112(constB7)) | v111(constB7)) <=> (v111(constB7) | (~v112(constB7)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1286,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB7)) | v111(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB7) | (~v112(constB7))))),
% 47.31/29.77 inference(monotonicity,[status(thm)],[1285])).
% 47.31/29.77 tff(1287,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB7)) | v111(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB7) | (~v112(constB7)))),
% 47.31/29.77 inference(transitivity,[status(thm)],[1286, 1284])).
% 47.31/29.77 tff(1288,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB7)) | v111(constB7))),
% 47.31/29.77 inference(quant_inst,[status(thm)],[])).
% 47.31/29.77 tff(1289,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB7) | (~v112(constB7))),
% 47.31/29.77 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 47.31/29.77 tff(1290,plain,
% 47.31/29.77 (v111(constB7)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1289, 278, 1283])).
% 47.31/29.77 tff(1291,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB7) | (~v111(constB7)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB7) | (~v111(constB7)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1292,plain,
% 47.31/29.77 (((~v111(constB7)) | v110(constB7)) <=> (v110(constB7) | (~v111(constB7)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1293,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB7)) | v110(constB7))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB7) | (~v111(constB7))))),
% 47.31/29.77 inference(monotonicity,[status(thm)],[1292])).
% 47.31/29.77 tff(1294,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB7)) | v110(constB7))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB7) | (~v111(constB7)))),
% 47.31/29.77 inference(transitivity,[status(thm)],[1293, 1291])).
% 47.31/29.77 tff(1295,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB7)) | v110(constB7))),
% 47.31/29.77 inference(quant_inst,[status(thm)],[])).
% 47.31/29.77 tff(1296,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB7) | (~v111(constB7))),
% 47.31/29.77 inference(modus_ponens,[status(thm)],[1295, 1294])).
% 47.31/29.77 tff(1297,plain,
% 47.31/29.77 (v110(constB7)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1296, 292, 1290])).
% 47.31/29.77 tff(1298,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB7) | (~v110(constB7)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB7) | (~v110(constB7)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1299,plain,
% 47.31/29.77 (((~v110(constB7)) | v109(constB7)) <=> (v109(constB7) | (~v110(constB7)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1300,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB7)) | v109(constB7))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB7) | (~v110(constB7))))),
% 47.31/29.77 inference(monotonicity,[status(thm)],[1299])).
% 47.31/29.77 tff(1301,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB7)) | v109(constB7))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB7) | (~v110(constB7)))),
% 47.31/29.77 inference(transitivity,[status(thm)],[1300, 1298])).
% 47.31/29.77 tff(1302,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB7)) | v109(constB7))),
% 47.31/29.77 inference(quant_inst,[status(thm)],[])).
% 47.31/29.77 tff(1303,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB7) | (~v110(constB7))),
% 47.31/29.77 inference(modus_ponens,[status(thm)],[1302, 1301])).
% 47.31/29.77 tff(1304,plain,
% 47.31/29.77 (v109(constB7)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1303, 306, 1297])).
% 47.31/29.77 tff(1305,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB7)) | v108(constB7))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1306,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB7)) | v108(constB7))),
% 47.31/29.77 inference(quant_inst,[status(thm)],[])).
% 47.31/29.77 tff(1307,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB7)) | v108(constB7)),
% 47.31/29.77 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 47.31/29.77 tff(1308,plain,
% 47.31/29.77 (v108(constB7)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1307, 320, 1304])).
% 47.31/29.77 tff(1309,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB7) | (~v108(constB7)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB7) | (~v108(constB7)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1310,plain,
% 47.31/29.77 (((~v108(constB7)) | v107(constB7)) <=> (v107(constB7) | (~v108(constB7)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1311,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB7)) | v107(constB7))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB7) | (~v108(constB7))))),
% 47.31/29.77 inference(monotonicity,[status(thm)],[1310])).
% 47.31/29.77 tff(1312,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB7)) | v107(constB7))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB7) | (~v108(constB7)))),
% 47.31/29.77 inference(transitivity,[status(thm)],[1311, 1309])).
% 47.31/29.77 tff(1313,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB7)) | v107(constB7))),
% 47.31/29.77 inference(quant_inst,[status(thm)],[])).
% 47.31/29.77 tff(1314,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB7) | (~v108(constB7))),
% 47.31/29.77 inference(modus_ponens,[status(thm)],[1313, 1312])).
% 47.31/29.77 tff(1315,plain,
% 47.31/29.77 (v107(constB7)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1314, 334, 1308])).
% 47.31/29.77 tff(1316,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB7) | (~v107(constB7)) | v106(constB7))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB7) | (~v107(constB7)) | v106(constB7))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1317,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB7) | (~v107(constB7)) | v106(constB7))),
% 47.31/29.77 inference(quant_inst,[status(thm)],[])).
% 47.31/29.77 tff(1318,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB7) | (~v107(constB7)) | v106(constB7)),
% 47.31/29.77 inference(modus_ponens,[status(thm)],[1317, 1316])).
% 47.31/29.77 tff(1319,plain,
% 47.31/29.77 (v26(constB7) | v106(constB7)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1318, 348, 1315])).
% 47.31/29.77 tff(1320,plain,
% 47.31/29.77 (v106(constB7)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1319, 82])).
% 47.31/29.77 tff(1321,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB7) | (~v106(constB7)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB7) | (~v106(constB7)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1322,plain,
% 47.31/29.77 (((~v106(constB7)) | v102(constB7)) <=> (v102(constB7) | (~v106(constB7)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1323,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB7)) | v102(constB7))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB7) | (~v106(constB7))))),
% 47.31/29.77 inference(monotonicity,[status(thm)],[1322])).
% 47.31/29.77 tff(1324,plain,
% 47.31/29.77 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB7)) | v102(constB7))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB7) | (~v106(constB7)))),
% 47.31/29.77 inference(transitivity,[status(thm)],[1323, 1321])).
% 47.31/29.77 tff(1325,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB7)) | v102(constB7))),
% 47.31/29.77 inference(quant_inst,[status(thm)],[])).
% 47.31/29.77 tff(1326,plain,
% 47.31/29.77 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB7) | (~v106(constB7))),
% 47.31/29.77 inference(modus_ponens,[status(thm)],[1325, 1324])).
% 47.31/29.77 tff(1327,plain,
% 47.31/29.77 (v102(constB7)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1326, 504, 1320])).
% 47.31/29.77 tff(1328,plain,
% 47.31/29.77 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1329,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 47.31/29.77 tff(1330,plain,
% 47.31/29.77 (nextState(constB7, constB8)),
% 47.31/29.77 inference(modus_ponens,[status(thm)],[1329, 1328])).
% 47.31/29.77 tff(1331,plain,
% 47.31/29.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1332,plain,
% 47.31/29.77 (((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8)) <=> ((~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1333,plain,
% 47.31/29.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7))))),
% 47.31/29.77 inference(monotonicity,[status(thm)],[1332])).
% 47.31/29.77 tff(1334,plain,
% 47.31/29.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))),
% 47.31/29.77 inference(transitivity,[status(thm)],[1333, 1331])).
% 47.31/29.77 tff(1335,plain,
% 47.31/29.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8))),
% 47.31/29.77 inference(quant_inst,[status(thm)],[])).
% 47.31/29.77 tff(1336,plain,
% 47.31/29.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7))),
% 47.31/29.77 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 47.31/29.77 tff(1337,plain,
% 47.31/29.77 (v104(constB8) | (~v102(constB7))),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1336, 489, 1330])).
% 47.31/29.77 tff(1338,plain,
% 47.31/29.77 (v104(constB8)),
% 47.31/29.77 inference(unit_resolution,[status(thm)],[1337, 1327])).
% 47.31/29.77 tff(1339,plain,
% 47.31/29.77 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8)))),
% 47.31/29.77 inference(rewrite,[status(thm)],[])).
% 47.31/29.77 tff(1340,plain,
% 47.31/29.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8)))),
% 47.31/29.78 inference(quant_inst,[status(thm)],[])).
% 47.31/29.78 tff(1341,plain,
% 47.31/29.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8))),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 47.31/29.78 tff(1342,plain,
% 47.31/29.78 (~v98(constB8)),
% 47.31/29.78 inference(unit_resolution,[status(thm)],[1341, 423, 1330, 1136])).
% 47.31/29.78 tff(1343,plain,
% 47.31/29.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB7, constB8)) | v96(constB8) | v98(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB7, constB8)) | v96(constB8) | v98(constB8))),
% 47.31/29.78 inference(rewrite,[status(thm)],[])).
% 47.31/29.78 tff(1344,plain,
% 47.31/29.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB7, constB8)) | v96(constB8) | v98(constB8))),
% 47.31/29.78 inference(quant_inst,[status(thm)],[])).
% 47.31/29.78 tff(1345,plain,
% 47.31/29.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB7, constB8)) | v96(constB8) | v98(constB8)),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 47.31/29.78 tff(1346,plain,
% 47.31/29.78 (v96(constB8) | v98(constB8)),
% 47.31/29.78 inference(unit_resolution,[status(thm)],[1345, 437, 1330])).
% 47.31/29.78 tff(1347,plain,
% 47.31/29.78 (v96(constB8)),
% 47.31/29.78 inference(unit_resolution,[status(thm)],[1346, 1342])).
% 47.31/29.78 tff(1348,plain,
% 47.31/29.78 (v1(constB8) <=> v1(constB8)),
% 47.31/29.78 inference(rewrite,[status(thm)],[])).
% 47.31/29.78 tff(1349,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 47.31/29.78 tff(1350,plain,
% 47.31/29.78 (v1(constB8)),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1349, 1348])).
% 47.31/29.78 tff(1351,plain,
% 47.31/29.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8)))),
% 47.31/29.78 inference(rewrite,[status(thm)],[])).
% 47.31/29.78 tff(1352,plain,
% 47.31/29.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8)))),
% 47.31/29.78 inference(quant_inst,[status(thm)],[])).
% 47.31/29.78 tff(1353,plain,
% 47.31/29.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8))),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1352, 1351])).
% 47.31/29.78 tff(1354,plain,
% 47.31/29.78 (v95(constB8) | (~v96(constB8))),
% 47.31/29.78 inference(unit_resolution,[status(thm)],[1353, 455, 1330, 1350])).
% 47.31/29.78 tff(1355,plain,
% 47.31/29.78 (v95(constB8)),
% 47.31/29.78 inference(unit_resolution,[status(thm)],[1354, 1347])).
% 47.31/29.78 tff(1356,plain,
% 47.31/29.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))),
% 47.31/29.78 inference(rewrite,[status(thm)],[])).
% 47.31/29.78 tff(1357,plain,
% 47.31/29.78 (((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8)) <=> ((~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))),
% 47.31/29.78 inference(rewrite,[status(thm)],[])).
% 47.31/29.78 tff(1358,plain,
% 47.31/29.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8))))),
% 47.31/29.78 inference(monotonicity,[status(thm)],[1357])).
% 47.31/29.78 tff(1359,plain,
% 47.31/29.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))),
% 47.31/29.78 inference(transitivity,[status(thm)],[1358, 1356])).
% 47.31/29.78 tff(1360,plain,
% 47.31/29.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8))),
% 47.31/29.78 inference(quant_inst,[status(thm)],[])).
% 47.31/29.78 tff(1361,plain,
% 47.31/29.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8))),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1360, 1359])).
% 47.31/29.78 tff(1362,plain,
% 47.31/29.78 (v94(constB8) | (~v95(constB8)) | (~v104(constB8))),
% 47.31/29.78 inference(unit_resolution,[status(thm)],[1361, 470, 1330])).
% 47.31/29.78 tff(1363,plain,
% 47.31/29.78 (v94(constB8) | (~v104(constB8))),
% 47.31/29.78 inference(unit_resolution,[status(thm)],[1362, 1355])).
% 47.31/29.78 tff(1364,plain,
% 47.31/29.78 (v94(constB8)),
% 47.31/29.78 inference(unit_resolution,[status(thm)],[1363, 1338])).
% 47.31/29.78 tff(1365,plain,
% 47.31/29.78 (^[VarCurr: state_type] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)))),
% 47.31/29.78 inference(bind,[status(th)],[])).
% 47.31/29.78 tff(1366,plain,
% 47.31/29.78 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 47.31/29.78 inference(quant_intro,[status(thm)],[1365])).
% 47.31/29.78 tff(1367,plain,
% 47.31/29.78 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 47.31/29.78 inference(rewrite,[status(thm)],[])).
% 47.31/29.78 tff(1368,plain,
% 47.31/29.78 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr))), ((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr)) | v116(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr)) | v116(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr))), ((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)))), (((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)) | v172(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)) | v172(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr))), (((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)))), ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)) | v118(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)) | v118(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr))), ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)))), (((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)) | v124(VarCurr, bitIndex0)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))), (((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))))),
% 47.31/29.78 inference(bind,[status(th)],[])).
% 47.31/29.78 tff(1369,plain,
% 47.31/29.78 (![VarCurr: state_type] : ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 47.31/29.78 inference(quant_intro,[status(thm)],[1368])).
% 47.31/29.78 tff(1370,axiom,(![VarCurr: state_type] : ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | v124(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_1')).
% 47.31/29.78 tff(1371,plain,
% 47.31/29.78 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1370, 1369])).
% 47.31/29.78 tff(1372,plain,
% 47.31/29.78 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1371, 1367])).
% 47.31/29.78 tff(1373,plain,(
% 47.31/29.78 ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 47.31/29.78 inference(skolemize,[status(sab)],[1372])).
% 47.31/29.78 tff(1374,plain,
% 47.31/29.78 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1373, 1366])).
% 47.31/29.78 tff(1375,plain,
% 47.31/29.78 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | v124(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | v124(constB5, bitIndex0))),
% 47.31/29.78 inference(rewrite,[status(thm)],[])).
% 47.31/29.78 tff(1376,plain,
% 47.31/29.78 ((v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | v124(constB5, bitIndex0)) <=> (v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | v124(constB5, bitIndex0))),
% 47.31/29.78 inference(rewrite,[status(thm)],[])).
% 47.31/29.78 tff(1377,plain,
% 47.31/29.78 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | v124(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | v124(constB5, bitIndex0)))),
% 47.31/29.78 inference(monotonicity,[status(thm)],[1376])).
% 47.31/29.78 tff(1378,plain,
% 47.31/29.78 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | v124(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | v124(constB5, bitIndex0))),
% 47.31/29.78 inference(transitivity,[status(thm)],[1377, 1375])).
% 47.31/29.78 tff(1379,plain,
% 47.31/29.78 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | v124(constB5, bitIndex0))),
% 47.31/29.78 inference(quant_inst,[status(thm)],[])).
% 47.31/29.78 tff(1380,plain,
% 47.31/29.78 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB5) | v172(constB5) | v116(constB5) | v118(constB5) | v115(constB5) | v113(constB5) | v124(constB5, bitIndex0)),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1379, 1378])).
% 47.31/29.78 tff(1381,plain,
% 47.31/29.78 (v124(constB5, bitIndex0)),
% 47.31/29.78 inference(unit_resolution,[status(thm)],[1380, 1374, 1095, 1084, 1073, 1062, 1051, 1040])).
% 47.31/29.78 tff(1382,plain,
% 47.31/29.78 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)))),
% 47.31/29.78 inference(bind,[status(th)],[])).
% 47.31/29.78 tff(1383,plain,
% 47.31/29.78 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 47.31/29.78 inference(quant_intro,[status(thm)],[1382])).
% 47.31/29.78 tff(1384,plain,
% 47.31/29.78 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 47.31/29.78 inference(rewrite,[status(thm)],[])).
% 47.31/29.78 tff(1385,plain,
% 47.31/29.78 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v124(VarCurr, bitIndex0))) | v121(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)))),
% 47.31/29.78 inference(bind,[status(th)],[])).
% 47.31/29.78 tff(1386,plain,
% 47.31/29.78 (![VarCurr: state_type] : ((v26(VarCurr) | (~v124(VarCurr, bitIndex0))) | v121(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 47.31/29.78 inference(quant_intro,[status(thm)],[1385])).
% 47.31/29.78 tff(1387,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v124(VarCurr, bitIndex0))) | v121(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 47.31/29.78 tff(1388,plain,
% 47.31/29.78 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1387, 1386])).
% 47.31/29.78 tff(1389,plain,
% 47.31/29.78 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1388, 1384])).
% 47.31/29.78 tff(1390,plain,(
% 47.31/29.78 ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 47.31/29.78 inference(skolemize,[status(sab)],[1389])).
% 47.31/29.78 tff(1391,plain,
% 47.31/29.78 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1390, 1383])).
% 47.31/29.78 tff(1392,plain,
% 47.31/29.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0))),
% 47.31/29.78 inference(rewrite,[status(thm)],[])).
% 47.31/29.78 tff(1393,plain,
% 47.31/29.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0))),
% 47.31/29.78 inference(quant_inst,[status(thm)],[])).
% 47.31/29.78 tff(1394,plain,
% 47.31/29.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0)),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 47.31/29.78 tff(1395,plain,
% 47.31/29.78 (v26(constB5) | v121(constB5, bitIndex0)),
% 47.31/29.78 inference(unit_resolution,[status(thm)],[1394, 1391, 1381])).
% 47.31/29.78 tff(1396,plain,
% 47.31/29.78 (v121(constB5, bitIndex0)),
% 47.31/29.78 inference(unit_resolution,[status(thm)],[1395, 86])).
% 47.31/29.78 tff(1397,plain,
% 47.31/29.78 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)))),
% 47.31/29.78 inference(bind,[status(th)],[])).
% 47.31/29.78 tff(1398,plain,
% 47.31/29.78 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 47.31/29.78 inference(quant_intro,[status(thm)],[1397])).
% 47.31/29.78 tff(1399,plain,
% 47.31/29.78 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 47.31/29.78 inference(rewrite,[status(thm)],[])).
% 47.31/29.78 tff(1400,plain,
% 47.31/29.78 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0))) | v123(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)))),
% 47.31/29.78 inference(bind,[status(th)],[])).
% 47.31/29.78 tff(1401,plain,
% 47.31/29.78 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0))) | v123(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 47.31/29.78 inference(quant_intro,[status(thm)],[1400])).
% 47.31/29.78 tff(1402,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0))) | v123(VarNext, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 47.31/29.78 tff(1403,plain,
% 47.31/29.78 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1402, 1401])).
% 47.31/29.78 tff(1404,plain,
% 47.31/29.78 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1403, 1399])).
% 47.31/29.78 tff(1405,plain,(
% 47.31/29.78 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 47.31/29.78 inference(skolemize,[status(sab)],[1404])).
% 47.31/29.78 tff(1406,plain,
% 47.31/29.78 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 47.31/29.78 inference(modus_ponens,[status(thm)],[1405, 1398])).
% 47.31/29.79 tff(1407,plain,
% 47.31/29.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0))),
% 47.31/29.79 inference(rewrite,[status(thm)],[])).
% 47.31/29.79 tff(1408,plain,
% 47.31/29.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0))),
% 47.31/29.79 inference(quant_inst,[status(thm)],[])).
% 47.31/29.79 tff(1409,plain,
% 47.31/29.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0)),
% 47.31/29.79 inference(modus_ponens,[status(thm)],[1408, 1407])).
% 47.31/29.79 tff(1410,plain,
% 47.31/29.79 ((~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0)),
% 47.31/29.79 inference(unit_resolution,[status(thm)],[1409, 1406, 995])).
% 47.31/29.79 tff(1411,plain,
% 47.31/29.79 (v123(constB6, bitIndex0)),
% 47.31/29.79 inference(unit_resolution,[status(thm)],[1410, 1396])).
% 47.31/29.79 tff(1412,plain,
% 47.31/29.79 (^[VarNext: state_type] : refl((v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))) <=> (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))))),
% 47.31/29.79 inference(bind,[status(th)],[])).
% 47.31/29.79 tff(1413,plain,
% 47.31/29.79 (![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 47.31/29.79 inference(quant_intro,[status(thm)],[1412])).
% 47.31/29.79 tff(1414,plain,
% 47.31/29.79 (![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 47.31/29.79 inference(rewrite,[status(thm)],[])).
% 47.31/29.79 tff(1415,plain,
% 47.31/29.79 (^[VarNext: state_type] : rewrite((((~v94(VarNext)) | (~v123(VarNext, bitIndex0))) | v84(VarNext, bitIndex0)) <=> (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))))),
% 47.31/29.79 inference(bind,[status(th)],[])).
% 47.31/29.79 tff(1416,plain,
% 47.31/29.79 (![VarNext: state_type] : (((~v94(VarNext)) | (~v123(VarNext, bitIndex0))) | v84(VarNext, bitIndex0)) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 47.31/29.79 inference(quant_intro,[status(thm)],[1415])).
% 47.31/29.79 tff(1417,axiom,(![VarNext: state_type] : (((~v94(VarNext)) | (~v123(VarNext, bitIndex0))) | v84(VarNext, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 47.31/29.79 tff(1418,plain,
% 47.31/29.79 (![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 47.31/29.79 inference(modus_ponens,[status(thm)],[1417, 1416])).
% 47.31/29.79 tff(1419,plain,
% 47.31/29.79 (![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 47.31/29.79 inference(modus_ponens,[status(thm)],[1418, 1414])).
% 47.31/29.79 tff(1420,plain,(
% 47.31/29.79 ![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 47.31/29.79 inference(skolemize,[status(sab)],[1419])).
% 47.31/29.79 tff(1421,plain,
% 47.31/29.79 (![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 47.31/29.79 inference(modus_ponens,[status(thm)],[1420, 1413])).
% 47.31/29.79 tff(1422,plain,
% 47.31/29.79 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))),
% 47.31/29.79 inference(rewrite,[status(thm)],[])).
% 47.31/29.79 tff(1423,plain,
% 47.31/29.79 ((v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0))) <=> (v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))),
% 47.31/29.79 inference(rewrite,[status(thm)],[])).
% 47.31/29.79 tff(1424,plain,
% 47.31/29.79 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6))))),
% 47.31/29.79 inference(monotonicity,[status(thm)],[1423])).
% 47.31/29.79 tff(1425,plain,
% 47.31/29.79 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))),
% 47.31/29.79 inference(transitivity,[status(thm)],[1424, 1422])).
% 47.31/29.79 tff(1426,plain,
% 47.31/29.79 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0)))),
% 47.31/29.79 inference(quant_inst,[status(thm)],[])).
% 47.31/29.79 tff(1427,plain,
% 47.31/29.79 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6))),
% 47.31/29.79 inference(modus_ponens,[status(thm)],[1426, 1425])).
% 47.31/29.79 tff(1428,plain,
% 47.31/29.79 (v84(constB6, bitIndex0) | (~v94(constB6))),
% 47.31/29.79 inference(unit_resolution,[status(thm)],[1427, 1421, 1411])).
% 47.31/29.79 tff(1429,plain,
% 47.31/29.79 (v84(constB6, bitIndex0)),
% 47.31/29.79 inference(unit_resolution,[status(thm)],[1428, 1029])).
% 47.31/29.79 tff(1430,plain,
% 47.31/29.79 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)))),
% 47.31/29.79 inference(bind,[status(th)],[])).
% 47.31/29.79 tff(1431,plain,
% 47.31/29.79 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 47.31/29.79 inference(quant_intro,[status(thm)],[1430])).
% 47.31/29.79 tff(1432,plain,
% 47.31/29.79 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 47.31/29.79 inference(rewrite,[status(thm)],[])).
% 47.31/29.79 tff(1433,plain,
% 47.31/29.79 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) | v84(VarNext, bitIndex0)) <=> (((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext)) | v84(VarNext, bitIndex0)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext)) | v84(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) | v84(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))))),
% 47.34/29.79 inference(bind,[status(th)],[])).
% 47.34/29.79 tff(1434,plain,
% 47.34/29.79 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) | v84(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 47.34/29.79 inference(quant_intro,[status(thm)],[1433])).
% 47.34/29.79 tff(1435,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) | v84(VarNext, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 47.34/29.79 tff(1436,plain,
% 47.34/29.79 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 47.34/29.79 inference(modus_ponens,[status(thm)],[1435, 1434])).
% 47.34/29.79 tff(1437,plain,
% 47.34/29.79 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 47.34/29.79 inference(modus_ponens,[status(thm)],[1436, 1432])).
% 47.34/29.79 tff(1438,plain,(
% 47.34/29.79 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 47.34/29.79 inference(skolemize,[status(sab)],[1437])).
% 47.34/29.79 tff(1439,plain,
% 47.34/29.79 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 47.34/29.79 inference(modus_ponens,[status(thm)],[1438, 1431])).
% 47.34/29.79 tff(1440,plain,
% 47.34/29.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))),
% 47.34/29.79 inference(rewrite,[status(thm)],[])).
% 47.34/29.79 tff(1441,plain,
% 47.34/29.79 (((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0)) <=> ((~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))),
% 47.34/29.79 inference(rewrite,[status(thm)],[])).
% 47.34/29.79 tff(1442,plain,
% 47.34/29.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0)))),
% 47.34/29.79 inference(monotonicity,[status(thm)],[1441])).
% 47.34/29.79 tff(1443,plain,
% 47.34/29.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))),
% 47.34/29.79 inference(transitivity,[status(thm)],[1442, 1440])).
% 47.34/29.79 tff(1444,plain,
% 47.34/29.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0))),
% 47.34/29.79 inference(quant_inst,[status(thm)],[])).
% 47.34/29.79 tff(1445,plain,
% 47.34/29.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0)),
% 47.34/29.79 inference(modus_ponens,[status(thm)],[1444, 1443])).
% 47.34/29.79 tff(1446,plain,
% 47.34/29.79 ((~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0)),
% 47.34/29.79 inference(unit_resolution,[status(thm)],[1445, 1439, 1139])).
% 47.34/29.79 tff(1447,plain,
% 47.34/29.79 ((~v84(constB6, bitIndex0)) | v84(constB7, bitIndex0)),
% 47.34/29.79 inference(unit_resolution,[status(thm)],[1446, 1151])).
% 47.34/29.79 tff(1448,plain,
% 47.34/29.79 (v84(constB7, bitIndex0)),
% 47.34/29.79 inference(unit_resolution,[status(thm)],[1447, 1429])).
% 47.34/29.79 tff(1449,plain,
% 47.34/29.79 (v145(constB7)),
% 47.34/29.79 inference(unit_resolution,[status(thm)],[1271, 1268, 1448, 1160, 1234])).
% 47.34/29.79 tff(1450,plain,
% 47.34/29.79 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 47.34/29.79 inference(bind,[status(th)],[])).
% 47.34/29.79 tff(1451,plain,
% 47.34/29.79 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.34/29.79 inference(quant_intro,[status(thm)],[1450])).
% 47.34/29.79 tff(1452,plain,
% 47.34/29.79 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.34/29.79 inference(rewrite,[status(thm)],[])).
% 47.34/29.79 tff(1453,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_3')).
% 47.34/29.79 tff(1454,plain,
% 47.34/29.79 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.34/29.79 inference(modus_ponens,[status(thm)],[1453, 1452])).
% 47.34/29.79 tff(1455,plain,(
% 47.34/29.79 ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.34/29.79 inference(skolemize,[status(sab)],[1454])).
% 47.34/29.79 tff(1456,plain,
% 47.34/29.79 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.34/29.79 inference(modus_ponens,[status(thm)],[1455, 1451])).
% 47.34/29.79 tff(1457,plain,
% 47.34/29.79 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB7)) | (~v124(constB7, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB7)) | (~v124(constB7, bitIndex2)))),
% 47.34/29.79 inference(rewrite,[status(thm)],[])).
% 47.34/29.79 tff(1458,plain,
% 47.34/29.79 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB7)) | (~v124(constB7, bitIndex2)))),
% 47.34/29.79 inference(quant_inst,[status(thm)],[])).
% 47.34/29.79 tff(1459,plain,
% 47.34/29.79 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB7)) | (~v124(constB7, bitIndex2))),
% 47.34/29.79 inference(modus_ponens,[status(thm)],[1458, 1457])).
% 47.34/29.79 tff(1460,plain,
% 47.34/29.79 (~v124(constB7, bitIndex2)),
% 47.34/29.79 inference(unit_resolution,[status(thm)],[1459, 1456, 1449])).
% 47.34/29.79 tff(1461,plain,
% 47.34/29.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB7, bitIndex2)) | v26(constB7) | v124(constB7, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB7, bitIndex2)) | v26(constB7) | v124(constB7, bitIndex2))),
% 47.34/29.79 inference(rewrite,[status(thm)],[])).
% 47.34/29.79 tff(1462,plain,
% 47.34/29.79 ((v26(constB7) | v124(constB7, bitIndex2) | (~v121(constB7, bitIndex2))) <=> ((~v121(constB7, bitIndex2)) | v26(constB7) | v124(constB7, bitIndex2))),
% 47.34/29.79 inference(rewrite,[status(thm)],[])).
% 47.34/29.79 tff(1463,plain,
% 47.34/29.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB7) | v124(constB7, bitIndex2) | (~v121(constB7, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB7, bitIndex2)) | v26(constB7) | v124(constB7, bitIndex2)))),
% 47.34/29.79 inference(monotonicity,[status(thm)],[1462])).
% 47.34/29.80 tff(1464,plain,
% 47.34/29.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB7) | v124(constB7, bitIndex2) | (~v121(constB7, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB7, bitIndex2)) | v26(constB7) | v124(constB7, bitIndex2))),
% 47.34/29.80 inference(transitivity,[status(thm)],[1463, 1461])).
% 47.34/29.80 tff(1465,plain,
% 47.34/29.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB7) | v124(constB7, bitIndex2) | (~v121(constB7, bitIndex2)))),
% 47.34/29.80 inference(quant_inst,[status(thm)],[])).
% 47.34/29.80 tff(1466,plain,
% 47.34/29.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB7, bitIndex2)) | v26(constB7) | v124(constB7, bitIndex2)),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1465, 1464])).
% 47.34/29.80 tff(1467,plain,
% 47.34/29.80 ((~v121(constB7, bitIndex2)) | v26(constB7)),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1466, 1187, 1460])).
% 47.34/29.80 tff(1468,plain,
% 47.34/29.80 (~v121(constB7, bitIndex2)),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1467, 82])).
% 47.34/29.80 tff(1469,plain,
% 47.34/29.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex2) | (~v123(constB8, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex2) | (~v123(constB8, bitIndex2)))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1470,plain,
% 47.34/29.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex2) | (~v123(constB8, bitIndex2)))),
% 47.34/29.80 inference(quant_inst,[status(thm)],[])).
% 47.34/29.80 tff(1471,plain,
% 47.34/29.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex2) | (~v123(constB8, bitIndex2))),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1470, 1469])).
% 47.34/29.80 tff(1472,plain,
% 47.34/29.80 (v121(constB7, bitIndex2) | (~v123(constB8, bitIndex2))),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1471, 1205, 1330])).
% 47.34/29.80 tff(1473,plain,
% 47.34/29.80 (~v123(constB8, bitIndex2)),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1472, 1468])).
% 47.34/29.80 tff(1474,plain,
% 47.34/29.80 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB8, bitIndex2)) | v123(constB8, bitIndex2) | (~v94(constB8)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB8, bitIndex2)) | v123(constB8, bitIndex2) | (~v94(constB8)))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1475,plain,
% 47.34/29.80 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB8, bitIndex2)) | v123(constB8, bitIndex2) | (~v94(constB8)))),
% 47.34/29.80 inference(quant_inst,[status(thm)],[])).
% 47.34/29.80 tff(1476,plain,
% 47.34/29.80 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB8, bitIndex2)) | v123(constB8, bitIndex2) | (~v94(constB8))),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1475, 1474])).
% 47.34/29.80 tff(1477,plain,
% 47.34/29.80 ((~v84(constB8, bitIndex2)) | (~v94(constB8))),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1476, 1220, 1473])).
% 47.34/29.80 tff(1478,plain,
% 47.34/29.80 (~v84(constB8, bitIndex2)),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1477, 1364])).
% 47.34/29.80 tff(1479,plain,
% 47.34/29.80 ((~v1(constB9)) <=> (~v1(constB9))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1480,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 47.34/29.80 tff(1481,plain,
% 47.34/29.80 (~v1(constB9)),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 47.34/29.80 tff(1482,plain,
% 47.34/29.80 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1483,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 47.34/29.80 tff(1484,plain,
% 47.34/29.80 (nextState(constB8, constB9)),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1483, 1482])).
% 47.34/29.80 tff(1485,plain,
% 47.34/29.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1486,plain,
% 47.34/29.80 (((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1487,plain,
% 47.34/29.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9))))),
% 47.34/29.80 inference(monotonicity,[status(thm)],[1486])).
% 47.34/29.80 tff(1488,plain,
% 47.34/29.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))),
% 47.34/29.80 inference(transitivity,[status(thm)],[1487, 1485])).
% 47.34/29.80 tff(1489,plain,
% 47.34/29.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9))),
% 47.34/29.80 inference(quant_inst,[status(thm)],[])).
% 47.34/29.80 tff(1490,plain,
% 47.34/29.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9))),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1489, 1488])).
% 47.34/29.80 tff(1491,plain,
% 47.34/29.80 (~v95(constB9)),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1490, 110, 1484, 1481])).
% 47.34/29.80 tff(1492,plain,
% 47.34/29.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9)))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1493,plain,
% 47.34/29.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9)))),
% 47.34/29.80 inference(quant_inst,[status(thm)],[])).
% 47.34/29.80 tff(1494,plain,
% 47.34/29.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9))),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1493, 1492])).
% 47.34/29.80 tff(1495,plain,
% 47.34/29.80 (v95(constB9) | (~v94(constB9))),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1494, 127, 1484])).
% 47.34/29.80 tff(1496,plain,
% 47.34/29.80 (~v94(constB9)),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1495, 1491])).
% 47.34/29.80 tff(1497,plain,
% 47.34/29.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex2)))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1498,plain,
% 47.34/29.80 (((~nextState(constB8, constB9)) | v84(constB8, bitIndex2) | v94(constB9) | (~v84(constB9, bitIndex2))) <=> (v84(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex2)))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1499,plain,
% 47.34/29.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex2) | v94(constB9) | (~v84(constB9, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex2))))),
% 47.34/29.80 inference(monotonicity,[status(thm)],[1498])).
% 47.34/29.80 tff(1500,plain,
% 47.34/29.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex2) | v94(constB9) | (~v84(constB9, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex2)))),
% 47.34/29.80 inference(transitivity,[status(thm)],[1499, 1497])).
% 47.34/29.80 tff(1501,plain,
% 47.34/29.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex2) | v94(constB9) | (~v84(constB9, bitIndex2)))),
% 47.34/29.80 inference(quant_inst,[status(thm)],[])).
% 47.34/29.80 tff(1502,plain,
% 47.34/29.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex2))),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1501, 1500])).
% 47.34/29.80 tff(1503,plain,
% 47.34/29.80 (v84(constB8, bitIndex2) | v94(constB9) | (~v84(constB9, bitIndex2))),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1502, 142, 1484])).
% 47.34/29.80 tff(1504,plain,
% 47.34/29.80 (v84(constB8, bitIndex2) | (~v84(constB9, bitIndex2))),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1503, 1496])).
% 47.34/29.80 tff(1505,plain,
% 47.34/29.80 (~v84(constB9, bitIndex2)),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1504, 1478])).
% 47.34/29.80 tff(1506,plain,
% 47.34/29.80 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 47.34/29.80 inference(bind,[status(th)],[])).
% 47.34/29.80 tff(1507,plain,
% 47.34/29.80 (![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.34/29.80 inference(quant_intro,[status(thm)],[1506])).
% 47.34/29.80 tff(1508,plain,
% 47.34/29.80 (![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1509,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_2')).
% 47.34/29.80 tff(1510,plain,
% 47.34/29.80 (![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1509, 1508])).
% 47.34/29.80 tff(1511,plain,(
% 47.34/29.80 ![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.34/29.80 inference(skolemize,[status(sab)],[1510])).
% 47.34/29.80 tff(1512,plain,
% 47.34/29.80 (![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1511, 1507])).
% 47.34/29.80 tff(1513,plain,
% 47.34/29.80 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB7)) | v124(constB7, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB7)) | v124(constB7, bitIndex1))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1514,plain,
% 47.34/29.80 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB7)) | v124(constB7, bitIndex1))),
% 47.34/29.80 inference(quant_inst,[status(thm)],[])).
% 47.34/29.80 tff(1515,plain,
% 47.34/29.80 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB7)) | v124(constB7, bitIndex1)),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1514, 1513])).
% 47.34/29.80 tff(1516,plain,
% 47.34/29.80 (v124(constB7, bitIndex1)),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1515, 1512, 1449])).
% 47.34/29.80 tff(1517,plain,
% 47.34/29.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB7) | (~v124(constB7, bitIndex1)) | v121(constB7, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB7) | (~v124(constB7, bitIndex1)) | v121(constB7, bitIndex1))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1518,plain,
% 47.34/29.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB7) | (~v124(constB7, bitIndex1)) | v121(constB7, bitIndex1))),
% 47.34/29.80 inference(quant_inst,[status(thm)],[])).
% 47.34/29.80 tff(1519,plain,
% 47.34/29.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB7) | (~v124(constB7, bitIndex1)) | v121(constB7, bitIndex1)),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1518, 1517])).
% 47.34/29.80 tff(1520,plain,
% 47.34/29.80 (v26(constB7) | v121(constB7, bitIndex1)),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1519, 857, 1516])).
% 47.34/29.80 tff(1521,plain,
% 47.34/29.80 (v121(constB7, bitIndex1)),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1520, 82])).
% 47.34/29.80 tff(1522,plain,
% 47.34/29.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v121(constB7, bitIndex1)) | v123(constB8, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB7, constB8)) | (~v121(constB7, bitIndex1)) | v123(constB8, bitIndex1))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1523,plain,
% 47.34/29.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v121(constB7, bitIndex1)) | v123(constB8, bitIndex1))),
% 47.34/29.80 inference(quant_inst,[status(thm)],[])).
% 47.34/29.80 tff(1524,plain,
% 47.34/29.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB7, constB8)) | (~v121(constB7, bitIndex1)) | v123(constB8, bitIndex1)),
% 47.34/29.80 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 47.34/29.80 tff(1525,plain,
% 47.34/29.80 ((~v121(constB7, bitIndex1)) | v123(constB8, bitIndex1)),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1524, 872, 1330])).
% 47.34/29.80 tff(1526,plain,
% 47.34/29.80 (v123(constB8, bitIndex1)),
% 47.34/29.80 inference(unit_resolution,[status(thm)],[1525, 1521])).
% 47.34/29.80 tff(1527,plain,
% 47.34/29.80 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~v123(constB8, bitIndex1)) | (~v94(constB8)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB8, bitIndex1) | (~v123(constB8, bitIndex1)) | (~v94(constB8)))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1528,plain,
% 47.34/29.80 ((v84(constB8, bitIndex1) | (~v94(constB8)) | (~v123(constB8, bitIndex1))) <=> (v84(constB8, bitIndex1) | (~v123(constB8, bitIndex1)) | (~v94(constB8)))),
% 47.34/29.80 inference(rewrite,[status(thm)],[])).
% 47.34/29.80 tff(1529,plain,
% 47.34/29.80 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~v94(constB8)) | (~v123(constB8, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~v123(constB8, bitIndex1)) | (~v94(constB8))))),
% 47.34/29.81 inference(monotonicity,[status(thm)],[1528])).
% 47.34/29.81 tff(1530,plain,
% 47.34/29.81 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~v94(constB8)) | (~v123(constB8, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB8, bitIndex1) | (~v123(constB8, bitIndex1)) | (~v94(constB8)))),
% 47.34/29.81 inference(transitivity,[status(thm)],[1529, 1527])).
% 47.34/29.81 tff(1531,plain,
% 47.34/29.81 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~v94(constB8)) | (~v123(constB8, bitIndex1)))),
% 47.34/29.81 inference(quant_inst,[status(thm)],[])).
% 47.34/29.81 tff(1532,plain,
% 47.34/29.81 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB8, bitIndex1) | (~v123(constB8, bitIndex1)) | (~v94(constB8))),
% 47.34/29.81 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 47.34/29.81 tff(1533,plain,
% 47.34/29.81 (v84(constB8, bitIndex1) | (~v94(constB8))),
% 47.34/29.81 inference(unit_resolution,[status(thm)],[1532, 887, 1526])).
% 47.34/29.81 tff(1534,plain,
% 47.34/29.81 (v84(constB8, bitIndex1)),
% 47.34/29.81 inference(unit_resolution,[status(thm)],[1533, 1364])).
% 47.34/29.81 tff(1535,plain,
% 47.34/29.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex1))),
% 47.34/29.81 inference(rewrite,[status(thm)],[])).
% 47.34/29.81 tff(1536,plain,
% 47.34/29.81 (((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex1)) | v94(constB9) | v84(constB9, bitIndex1)) <=> ((~v84(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex1))),
% 47.34/29.81 inference(rewrite,[status(thm)],[])).
% 47.34/29.81 tff(1537,plain,
% 47.34/29.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex1)) | v94(constB9) | v84(constB9, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex1)))),
% 47.34/29.81 inference(monotonicity,[status(thm)],[1536])).
% 47.34/29.81 tff(1538,plain,
% 47.34/29.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex1)) | v94(constB9) | v84(constB9, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex1))),
% 47.34/29.81 inference(transitivity,[status(thm)],[1537, 1535])).
% 47.34/29.81 tff(1539,plain,
% 47.34/29.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex1)) | v94(constB9) | v84(constB9, bitIndex1))),
% 47.34/29.81 inference(quant_inst,[status(thm)],[])).
% 47.34/29.81 tff(1540,plain,
% 47.34/29.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex1)),
% 47.34/29.81 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 47.34/29.81 tff(1541,plain,
% 47.34/29.81 ((~v84(constB8, bitIndex1)) | v94(constB9) | v84(constB9, bitIndex1)),
% 47.34/29.81 inference(unit_resolution,[status(thm)],[1540, 905, 1484])).
% 47.34/29.81 tff(1542,plain,
% 47.34/29.81 ((~v84(constB8, bitIndex1)) | v84(constB9, bitIndex1)),
% 47.34/29.81 inference(unit_resolution,[status(thm)],[1541, 1496])).
% 47.34/29.81 tff(1543,plain,
% 47.34/29.81 (v84(constB9, bitIndex1)),
% 47.34/29.81 inference(unit_resolution,[status(thm)],[1542, 1534])).
% 47.34/29.81 tff(1544,plain,
% 47.34/29.81 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 47.34/29.81 inference(bind,[status(th)],[])).
% 47.34/29.81 tff(1545,plain,
% 47.34/29.81 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.34/29.81 inference(quant_intro,[status(thm)],[1544])).
% 47.34/29.81 tff(1546,plain,
% 47.34/29.81 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.34/29.81 inference(rewrite,[status(thm)],[])).
% 47.34/29.81 tff(1547,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1')).
% 47.34/29.81 tff(1548,plain,
% 47.34/29.81 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.34/29.81 inference(modus_ponens,[status(thm)],[1547, 1546])).
% 47.34/29.81 tff(1549,plain,(
% 47.34/29.81 ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.34/29.81 inference(skolemize,[status(sab)],[1548])).
% 47.34/29.81 tff(1550,plain,
% 47.34/29.81 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.34/29.81 inference(modus_ponens,[status(thm)],[1549, 1545])).
% 47.34/29.81 tff(1551,plain,
% 47.34/29.81 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB7)) | (~v124(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB7)) | (~v124(constB7, bitIndex0)))),
% 47.34/29.81 inference(rewrite,[status(thm)],[])).
% 47.34/29.81 tff(1552,plain,
% 47.34/29.81 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB7)) | (~v124(constB7, bitIndex0)))),
% 47.34/29.81 inference(quant_inst,[status(thm)],[])).
% 47.34/29.81 tff(1553,plain,
% 47.34/29.81 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB7)) | (~v124(constB7, bitIndex0))),
% 47.34/29.81 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 47.34/29.81 tff(1554,plain,
% 47.34/29.81 (~v124(constB7, bitIndex0)),
% 47.34/29.81 inference(unit_resolution,[status(thm)],[1553, 1550, 1449])).
% 47.34/29.81 tff(1555,plain,
% 47.34/29.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))),
% 47.34/29.81 inference(rewrite,[status(thm)],[])).
% 47.34/29.81 tff(1556,plain,
% 47.34/29.81 ((v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0))) <=> ((~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))),
% 47.34/29.81 inference(rewrite,[status(thm)],[])).
% 47.34/29.81 tff(1557,plain,
% 47.34/29.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0)))),
% 47.34/29.81 inference(monotonicity,[status(thm)],[1556])).
% 47.34/29.81 tff(1558,plain,
% 47.34/29.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))),
% 47.34/29.81 inference(transitivity,[status(thm)],[1557, 1555])).
% 47.34/29.81 tff(1559,plain,
% 47.34/29.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0)))),
% 47.34/29.81 inference(quant_inst,[status(thm)],[])).
% 47.34/29.81 tff(1560,plain,
% 47.34/29.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0)),
% 47.34/29.81 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 47.34/29.81 tff(1561,plain,
% 47.34/29.81 ((~v121(constB7, bitIndex0)) | v26(constB7)),
% 47.34/29.81 inference(unit_resolution,[status(thm)],[1560, 607, 1554])).
% 47.34/29.81 tff(1562,plain,
% 47.34/29.81 (~v121(constB7, bitIndex0)),
% 47.34/29.81 inference(unit_resolution,[status(thm)],[1561, 82])).
% 47.34/29.81 tff(1563,plain,
% 47.34/29.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0)))),
% 47.34/29.81 inference(rewrite,[status(thm)],[])).
% 47.34/29.81 tff(1564,plain,
% 47.34/29.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0)))),
% 47.34/29.81 inference(quant_inst,[status(thm)],[])).
% 47.34/29.81 tff(1565,plain,
% 47.34/29.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0))),
% 47.34/29.81 inference(modus_ponens,[status(thm)],[1564, 1563])).
% 47.34/29.81 tff(1566,plain,
% 47.34/29.81 (v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0))),
% 47.34/29.81 inference(unit_resolution,[status(thm)],[1565, 637, 1330])).
% 47.34/29.81 tff(1567,plain,
% 47.34/29.81 (~v123(constB8, bitIndex0)),
% 47.34/29.81 inference(unit_resolution,[status(thm)],[1566, 1562])).
% 47.34/29.81 tff(1568,plain,
% 47.34/29.81 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))),
% 47.34/29.81 inference(rewrite,[status(thm)],[])).
% 47.34/29.81 tff(1569,plain,
% 47.34/29.81 (((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0)) <=> ((~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))),
% 47.34/29.81 inference(rewrite,[status(thm)],[])).
% 47.34/29.81 tff(1570,plain,
% 47.34/29.81 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8))))),
% 47.34/29.81 inference(monotonicity,[status(thm)],[1569])).
% 47.34/29.81 tff(1571,plain,
% 47.34/29.81 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))),
% 47.34/29.81 inference(transitivity,[status(thm)],[1570, 1568])).
% 47.34/29.81 tff(1572,plain,
% 47.34/29.81 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0))),
% 47.34/29.81 inference(quant_inst,[status(thm)],[])).
% 47.34/29.81 tff(1573,plain,
% 47.34/29.81 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8))),
% 47.34/29.81 inference(modus_ponens,[status(thm)],[1572, 1571])).
% 47.34/29.81 tff(1574,plain,
% 47.34/29.81 ((~v84(constB8, bitIndex0)) | (~v94(constB8))),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1573, 652, 1567])).
% 47.34/29.82 tff(1575,plain,
% 47.34/29.82 (~v84(constB8, bitIndex0)),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1574, 1364])).
% 47.34/29.82 tff(1576,plain,
% 47.34/29.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1577,plain,
% 47.34/29.82 (((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0))) <=> (v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1578,plain,
% 47.34/29.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0))))),
% 47.34/29.82 inference(monotonicity,[status(thm)],[1577])).
% 47.34/29.82 tff(1579,plain,
% 47.34/29.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 47.34/29.82 inference(transitivity,[status(thm)],[1578, 1576])).
% 47.34/29.82 tff(1580,plain,
% 47.34/29.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 47.34/29.82 inference(quant_inst,[status(thm)],[])).
% 47.34/29.82 tff(1581,plain,
% 47.34/29.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0))),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1580, 1579])).
% 47.34/29.82 tff(1582,plain,
% 47.34/29.82 (v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0))),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1581, 184, 1484])).
% 47.34/29.82 tff(1583,plain,
% 47.34/29.82 (v84(constB8, bitIndex0) | (~v84(constB9, bitIndex0))),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1582, 1496])).
% 47.34/29.82 tff(1584,plain,
% 47.34/29.82 (~v84(constB9, bitIndex0)),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1583, 1575])).
% 47.34/29.82 tff(1585,plain,
% 47.34/29.82 (^[VarCurr: state_type] : refl((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)))),
% 47.34/29.82 inference(bind,[status(th)],[])).
% 47.34/29.82 tff(1586,plain,
% 47.34/29.82 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 47.34/29.82 inference(quant_intro,[status(thm)],[1585])).
% 47.34/29.82 tff(1587,plain,
% 47.34/29.82 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1588,plain,
% 47.34/29.82 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2))), ((((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))) | v115(VarCurr)) <=> ((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v115(VarCurr)))), rewrite(((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v115(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))), ((((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))) | v115(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))))),
% 47.34/29.82 inference(bind,[status(th)],[])).
% 47.34/29.82 tff(1589,plain,
% 47.34/29.82 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))) | v115(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 47.34/29.82 inference(quant_intro,[status(thm)],[1588])).
% 47.34/29.82 tff(1590,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))) | v115(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 47.34/29.82 tff(1591,plain,
% 47.34/29.82 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1590, 1589])).
% 47.34/29.82 tff(1592,plain,
% 47.34/29.82 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1591, 1587])).
% 47.34/29.82 tff(1593,plain,(
% 47.34/29.82 ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 47.34/29.82 inference(skolemize,[status(sab)],[1592])).
% 47.34/29.82 tff(1594,plain,
% 47.34/29.82 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1593, 1586])).
% 47.34/29.82 tff(1595,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB9, bitIndex0) | (~v84(constB9, bitIndex1)) | v84(constB9, bitIndex2) | v115(constB9))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB9, bitIndex0) | (~v84(constB9, bitIndex1)) | v84(constB9, bitIndex2) | v115(constB9))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1596,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB9, bitIndex0) | (~v84(constB9, bitIndex1)) | v84(constB9, bitIndex2) | v115(constB9))),
% 47.34/29.82 inference(quant_inst,[status(thm)],[])).
% 47.34/29.82 tff(1597,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB9, bitIndex0) | (~v84(constB9, bitIndex1)) | v84(constB9, bitIndex2) | v115(constB9)),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1596, 1595])).
% 47.34/29.82 tff(1598,plain,
% 47.34/29.82 (v115(constB9)),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1597, 1594, 1584, 1543, 1505])).
% 47.34/29.82 tff(1599,plain,
% 47.34/29.82 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v111(VarCurr)) <=> ((~v115(VarCurr)) | v111(VarCurr)))),
% 47.34/29.82 inference(bind,[status(th)],[])).
% 47.34/29.82 tff(1600,plain,
% 47.34/29.82 (![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))),
% 47.34/29.82 inference(quant_intro,[status(thm)],[1599])).
% 47.34/29.82 tff(1601,plain,
% 47.34/29.82 (![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1602,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 47.34/29.82 tff(1603,plain,
% 47.34/29.82 (![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 47.34/29.82 tff(1604,plain,(
% 47.34/29.82 ![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))),
% 47.34/29.82 inference(skolemize,[status(sab)],[1603])).
% 47.34/29.82 tff(1605,plain,
% 47.34/29.82 (![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1604, 1600])).
% 47.34/29.82 tff(1606,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB9)) | v111(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB9)) | v111(constB9))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1607,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB9)) | v111(constB9))),
% 47.34/29.82 inference(quant_inst,[status(thm)],[])).
% 47.34/29.82 tff(1608,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB9)) | v111(constB9)),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 47.34/29.82 tff(1609,plain,
% 47.34/29.82 (v111(constB9)),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1608, 1605, 1598])).
% 47.34/29.82 tff(1610,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB9) | (~v111(constB9)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB9) | (~v111(constB9)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1611,plain,
% 47.34/29.82 (((~v111(constB9)) | v110(constB9)) <=> (v110(constB9) | (~v111(constB9)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1612,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB9)) | v110(constB9))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB9) | (~v111(constB9))))),
% 47.34/29.82 inference(monotonicity,[status(thm)],[1611])).
% 47.34/29.82 tff(1613,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB9)) | v110(constB9))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB9) | (~v111(constB9)))),
% 47.34/29.82 inference(transitivity,[status(thm)],[1612, 1610])).
% 47.34/29.82 tff(1614,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB9)) | v110(constB9))),
% 47.34/29.82 inference(quant_inst,[status(thm)],[])).
% 47.34/29.82 tff(1615,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB9) | (~v111(constB9))),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 47.34/29.82 tff(1616,plain,
% 47.34/29.82 (v110(constB9)),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1615, 292, 1609])).
% 47.34/29.82 tff(1617,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB9) | (~v110(constB9)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB9) | (~v110(constB9)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1618,plain,
% 47.34/29.82 (((~v110(constB9)) | v109(constB9)) <=> (v109(constB9) | (~v110(constB9)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1619,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB9)) | v109(constB9))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB9) | (~v110(constB9))))),
% 47.34/29.82 inference(monotonicity,[status(thm)],[1618])).
% 47.34/29.82 tff(1620,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB9)) | v109(constB9))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB9) | (~v110(constB9)))),
% 47.34/29.82 inference(transitivity,[status(thm)],[1619, 1617])).
% 47.34/29.82 tff(1621,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB9)) | v109(constB9))),
% 47.34/29.82 inference(quant_inst,[status(thm)],[])).
% 47.34/29.82 tff(1622,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB9) | (~v110(constB9))),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1621, 1620])).
% 47.34/29.82 tff(1623,plain,
% 47.34/29.82 (v109(constB9)),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1622, 306, 1616])).
% 47.34/29.82 tff(1624,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB9)) | v108(constB9))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1625,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB9)) | v108(constB9))),
% 47.34/29.82 inference(quant_inst,[status(thm)],[])).
% 47.34/29.82 tff(1626,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB9)) | v108(constB9)),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 47.34/29.82 tff(1627,plain,
% 47.34/29.82 (v108(constB9)),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1626, 320, 1623])).
% 47.34/29.82 tff(1628,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB9)) | v107(constB9))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB9)) | v107(constB9))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1629,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB9)) | v107(constB9))),
% 47.34/29.82 inference(quant_inst,[status(thm)],[])).
% 47.34/29.82 tff(1630,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB9)) | v107(constB9)),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1629, 1628])).
% 47.34/29.82 tff(1631,plain,
% 47.34/29.82 (v107(constB9)),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1630, 334, 1627])).
% 47.34/29.82 tff(1632,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | v106(constB9) | (~v107(constB9)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB9) | v106(constB9) | (~v107(constB9)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1633,plain,
% 47.34/29.82 ((v26(constB9) | (~v107(constB9)) | v106(constB9)) <=> (v26(constB9) | v106(constB9) | (~v107(constB9)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1634,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | (~v107(constB9)) | v106(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | v106(constB9) | (~v107(constB9))))),
% 47.34/29.82 inference(monotonicity,[status(thm)],[1633])).
% 47.34/29.82 tff(1635,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | (~v107(constB9)) | v106(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB9) | v106(constB9) | (~v107(constB9)))),
% 47.34/29.82 inference(transitivity,[status(thm)],[1634, 1632])).
% 47.34/29.82 tff(1636,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | (~v107(constB9)) | v106(constB9))),
% 47.34/29.82 inference(quant_inst,[status(thm)],[])).
% 47.34/29.82 tff(1637,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB9) | v106(constB9) | (~v107(constB9))),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1636, 1635])).
% 47.34/29.82 tff(1638,plain,
% 47.34/29.82 (v26(constB9) | v106(constB9)),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1637, 348, 1631])).
% 47.34/29.82 tff(1639,plain,
% 47.34/29.82 (v106(constB9)),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1638, 78])).
% 47.34/29.82 tff(1640,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB9) | (~v106(constB9)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB9) | (~v106(constB9)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1641,plain,
% 47.34/29.82 (((~v106(constB9)) | v102(constB9)) <=> (v102(constB9) | (~v106(constB9)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1642,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB9)) | v102(constB9))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB9) | (~v106(constB9))))),
% 47.34/29.82 inference(monotonicity,[status(thm)],[1641])).
% 47.34/29.82 tff(1643,plain,
% 47.34/29.82 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB9)) | v102(constB9))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB9) | (~v106(constB9)))),
% 47.34/29.82 inference(transitivity,[status(thm)],[1642, 1640])).
% 47.34/29.82 tff(1644,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB9)) | v102(constB9))),
% 47.34/29.82 inference(quant_inst,[status(thm)],[])).
% 47.34/29.82 tff(1645,plain,
% 47.34/29.82 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB9) | (~v106(constB9))),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 47.34/29.82 tff(1646,plain,
% 47.34/29.82 (v102(constB9)),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1645, 504, 1639])).
% 47.34/29.82 tff(1647,plain,
% 47.34/29.82 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1648,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 47.34/29.82 tff(1649,plain,
% 47.34/29.82 (nextState(constB9, constB10)),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1648, 1647])).
% 47.34/29.82 tff(1650,plain,
% 47.34/29.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1651,plain,
% 47.34/29.82 (((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10)) <=> ((~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1652,plain,
% 47.34/29.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9))))),
% 47.34/29.82 inference(monotonicity,[status(thm)],[1651])).
% 47.34/29.82 tff(1653,plain,
% 47.34/29.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))),
% 47.34/29.82 inference(transitivity,[status(thm)],[1652, 1650])).
% 47.34/29.82 tff(1654,plain,
% 47.34/29.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10))),
% 47.34/29.82 inference(quant_inst,[status(thm)],[])).
% 47.34/29.82 tff(1655,plain,
% 47.34/29.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9))),
% 47.34/29.82 inference(modus_ponens,[status(thm)],[1654, 1653])).
% 47.34/29.82 tff(1656,plain,
% 47.34/29.82 (v104(constB10) | (~v102(constB9))),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1655, 489, 1649])).
% 47.34/29.82 tff(1657,plain,
% 47.34/29.82 (v104(constB10)),
% 47.34/29.82 inference(unit_resolution,[status(thm)],[1656, 1646])).
% 47.34/29.82 tff(1658,plain,
% 47.34/29.82 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10)))),
% 47.34/29.82 inference(rewrite,[status(thm)],[])).
% 47.34/29.82 tff(1659,plain,
% 47.34/29.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10)))),
% 47.34/29.82 inference(quant_inst,[status(thm)],[])).
% 47.34/29.83 tff(1660,plain,
% 47.34/29.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10))),
% 47.34/29.83 inference(modus_ponens,[status(thm)],[1659, 1658])).
% 47.34/29.83 tff(1661,plain,
% 47.34/29.83 (~v98(constB10)),
% 47.34/29.83 inference(unit_resolution,[status(thm)],[1660, 423, 1649, 1481])).
% 47.34/29.83 tff(1662,plain,
% 47.34/29.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB9, constB10)) | v96(constB10) | v98(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB9, constB10)) | v96(constB10) | v98(constB10))),
% 47.34/29.83 inference(rewrite,[status(thm)],[])).
% 47.34/29.83 tff(1663,plain,
% 47.34/29.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB9, constB10)) | v96(constB10) | v98(constB10))),
% 47.34/29.83 inference(quant_inst,[status(thm)],[])).
% 47.34/29.83 tff(1664,plain,
% 47.34/29.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB9, constB10)) | v96(constB10) | v98(constB10)),
% 47.34/29.83 inference(modus_ponens,[status(thm)],[1663, 1662])).
% 47.34/29.83 tff(1665,plain,
% 47.34/29.83 (v96(constB10) | v98(constB10)),
% 47.34/29.83 inference(unit_resolution,[status(thm)],[1664, 437, 1649])).
% 47.34/29.83 tff(1666,plain,
% 47.34/29.83 (v96(constB10)),
% 47.34/29.83 inference(unit_resolution,[status(thm)],[1665, 1661])).
% 47.34/29.83 tff(1667,plain,
% 47.34/29.83 (v1(constB10) <=> v1(constB10)),
% 47.34/29.83 inference(rewrite,[status(thm)],[])).
% 47.34/29.83 tff(1668,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 47.34/29.83 tff(1669,plain,
% 47.34/29.83 (v1(constB10)),
% 47.34/29.83 inference(modus_ponens,[status(thm)],[1668, 1667])).
% 47.34/29.83 tff(1670,plain,
% 47.34/29.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10)))),
% 47.34/29.83 inference(rewrite,[status(thm)],[])).
% 47.34/29.83 tff(1671,plain,
% 47.34/29.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10)))),
% 47.34/29.83 inference(quant_inst,[status(thm)],[])).
% 47.34/29.83 tff(1672,plain,
% 47.34/29.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10))),
% 47.34/29.83 inference(modus_ponens,[status(thm)],[1671, 1670])).
% 47.34/29.83 tff(1673,plain,
% 47.34/29.83 (v95(constB10) | (~v96(constB10))),
% 47.34/29.83 inference(unit_resolution,[status(thm)],[1672, 455, 1649, 1669])).
% 47.34/29.83 tff(1674,plain,
% 47.34/29.83 (v95(constB10)),
% 47.34/29.83 inference(unit_resolution,[status(thm)],[1673, 1666])).
% 47.34/29.83 tff(1675,plain,
% 47.34/29.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))),
% 47.34/29.83 inference(rewrite,[status(thm)],[])).
% 47.34/29.83 tff(1676,plain,
% 47.34/29.83 (((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10)) <=> ((~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))),
% 47.34/29.83 inference(rewrite,[status(thm)],[])).
% 47.34/29.83 tff(1677,plain,
% 47.34/29.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10))))),
% 47.34/29.83 inference(monotonicity,[status(thm)],[1676])).
% 47.34/29.83 tff(1678,plain,
% 47.34/29.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))),
% 47.34/29.83 inference(transitivity,[status(thm)],[1677, 1675])).
% 47.34/29.83 tff(1679,plain,
% 47.34/29.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10))),
% 47.34/29.83 inference(quant_inst,[status(thm)],[])).
% 47.34/29.83 tff(1680,plain,
% 47.34/29.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10))),
% 47.34/29.83 inference(modus_ponens,[status(thm)],[1679, 1678])).
% 47.34/29.83 tff(1681,plain,
% 47.34/29.83 (v94(constB10) | (~v95(constB10)) | (~v104(constB10))),
% 47.34/29.83 inference(unit_resolution,[status(thm)],[1680, 470, 1649])).
% 47.34/29.83 tff(1682,plain,
% 47.34/29.83 (v94(constB10) | (~v104(constB10))),
% 47.34/29.83 inference(unit_resolution,[status(thm)],[1681, 1674])).
% 47.34/29.83 tff(1683,plain,
% 47.34/29.83 (v94(constB10)),
% 47.34/29.83 inference(unit_resolution,[status(thm)],[1682, 1657])).
% 47.34/29.83 tff(1684,plain,
% 47.34/29.83 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 47.34/29.83 inference(bind,[status(th)],[])).
% 47.34/29.83 tff(1685,plain,
% 47.34/29.83 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.34/29.83 inference(quant_intro,[status(thm)],[1684])).
% 47.34/29.83 tff(1686,plain,
% 47.34/29.83 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.34/29.83 inference(rewrite,[status(thm)],[])).
% 47.34/29.83 tff(1687,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_3')).
% 47.34/29.83 tff(1688,plain,
% 47.34/29.83 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.34/29.83 inference(modus_ponens,[status(thm)],[1687, 1686])).
% 47.34/29.83 tff(1689,plain,(
% 47.34/29.83 ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.34/29.83 inference(skolemize,[status(sab)],[1688])).
% 47.34/29.83 tff(1690,plain,
% 47.34/29.83 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.34/29.83 inference(modus_ponens,[status(thm)],[1689, 1685])).
% 47.34/29.83 tff(1691,plain,
% 47.34/29.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB9)) | (~v124(constB9, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB9)) | (~v124(constB9, bitIndex2)))),
% 47.34/29.83 inference(rewrite,[status(thm)],[])).
% 47.34/29.83 tff(1692,plain,
% 47.34/29.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB9)) | (~v124(constB9, bitIndex2)))),
% 47.34/29.83 inference(quant_inst,[status(thm)],[])).
% 47.34/29.83 tff(1693,plain,
% 47.34/29.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB9)) | (~v124(constB9, bitIndex2))),
% 47.34/29.83 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 47.34/29.83 tff(1694,plain,
% 47.34/29.83 (~v124(constB9, bitIndex2)),
% 47.34/29.83 inference(unit_resolution,[status(thm)],[1693, 1690, 1598])).
% 47.34/29.83 tff(1695,plain,
% 47.34/29.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB9, bitIndex2)) | v26(constB9) | v124(constB9, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB9, bitIndex2)) | v26(constB9) | v124(constB9, bitIndex2))),
% 47.38/29.83 inference(rewrite,[status(thm)],[])).
% 47.38/29.83 tff(1696,plain,
% 47.38/29.83 ((v26(constB9) | v124(constB9, bitIndex2) | (~v121(constB9, bitIndex2))) <=> ((~v121(constB9, bitIndex2)) | v26(constB9) | v124(constB9, bitIndex2))),
% 47.38/29.83 inference(rewrite,[status(thm)],[])).
% 47.38/29.83 tff(1697,plain,
% 47.38/29.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB9) | v124(constB9, bitIndex2) | (~v121(constB9, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB9, bitIndex2)) | v26(constB9) | v124(constB9, bitIndex2)))),
% 47.38/29.83 inference(monotonicity,[status(thm)],[1696])).
% 47.38/29.83 tff(1698,plain,
% 47.38/29.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB9) | v124(constB9, bitIndex2) | (~v121(constB9, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB9, bitIndex2)) | v26(constB9) | v124(constB9, bitIndex2))),
% 47.38/29.83 inference(transitivity,[status(thm)],[1697, 1695])).
% 47.38/29.83 tff(1699,plain,
% 47.38/29.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB9) | v124(constB9, bitIndex2) | (~v121(constB9, bitIndex2)))),
% 47.38/29.83 inference(quant_inst,[status(thm)],[])).
% 47.38/29.83 tff(1700,plain,
% 47.38/29.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB9, bitIndex2)) | v26(constB9) | v124(constB9, bitIndex2)),
% 47.38/29.83 inference(modus_ponens,[status(thm)],[1699, 1698])).
% 47.38/29.83 tff(1701,plain,
% 47.38/29.83 ((~v121(constB9, bitIndex2)) | v26(constB9)),
% 47.38/29.83 inference(unit_resolution,[status(thm)],[1700, 1187, 1694])).
% 47.38/29.83 tff(1702,plain,
% 47.38/29.83 (~v121(constB9, bitIndex2)),
% 47.38/29.83 inference(unit_resolution,[status(thm)],[1701, 78])).
% 47.38/29.83 tff(1703,plain,
% 47.38/29.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v121(constB9, bitIndex2) | (~v123(constB10, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v121(constB9, bitIndex2) | (~v123(constB10, bitIndex2)))),
% 47.38/29.83 inference(rewrite,[status(thm)],[])).
% 47.38/29.83 tff(1704,plain,
% 47.38/29.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v121(constB9, bitIndex2) | (~v123(constB10, bitIndex2)))),
% 47.38/29.83 inference(quant_inst,[status(thm)],[])).
% 47.38/29.83 tff(1705,plain,
% 47.38/29.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v121(constB9, bitIndex2) | (~v123(constB10, bitIndex2))),
% 47.38/29.83 inference(modus_ponens,[status(thm)],[1704, 1703])).
% 47.38/29.83 tff(1706,plain,
% 47.38/29.83 (v121(constB9, bitIndex2) | (~v123(constB10, bitIndex2))),
% 47.38/29.83 inference(unit_resolution,[status(thm)],[1705, 1205, 1649])).
% 47.38/29.83 tff(1707,plain,
% 47.38/29.83 (~v123(constB10, bitIndex2)),
% 47.38/29.83 inference(unit_resolution,[status(thm)],[1706, 1702])).
% 47.38/29.83 tff(1708,plain,
% 47.38/29.83 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB10, bitIndex2)) | v123(constB10, bitIndex2) | (~v94(constB10)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB10, bitIndex2)) | v123(constB10, bitIndex2) | (~v94(constB10)))),
% 47.38/29.83 inference(rewrite,[status(thm)],[])).
% 47.38/29.83 tff(1709,plain,
% 47.38/29.83 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB10, bitIndex2)) | v123(constB10, bitIndex2) | (~v94(constB10)))),
% 47.38/29.83 inference(quant_inst,[status(thm)],[])).
% 47.38/29.83 tff(1710,plain,
% 47.38/29.83 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB10, bitIndex2)) | v123(constB10, bitIndex2) | (~v94(constB10))),
% 47.38/29.83 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 47.38/29.83 tff(1711,plain,
% 47.38/29.83 ((~v84(constB10, bitIndex2)) | (~v94(constB10))),
% 47.38/29.83 inference(unit_resolution,[status(thm)],[1710, 1220, 1707])).
% 47.38/29.83 tff(1712,plain,
% 47.38/29.83 (~v84(constB10, bitIndex2)),
% 47.38/29.83 inference(unit_resolution,[status(thm)],[1711, 1683])).
% 47.38/29.83 tff(1713,plain,
% 47.38/29.83 ((~v1(constB11)) <=> (~v1(constB11))),
% 47.38/29.83 inference(rewrite,[status(thm)],[])).
% 47.38/29.83 tff(1714,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 47.38/29.83 tff(1715,plain,
% 47.38/29.83 (~v1(constB11)),
% 47.38/29.83 inference(modus_ponens,[status(thm)],[1714, 1713])).
% 47.38/29.83 tff(1716,plain,
% 47.38/29.83 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 47.38/29.83 inference(rewrite,[status(thm)],[])).
% 47.38/29.83 tff(1717,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 47.38/29.83 tff(1718,plain,
% 47.38/29.83 (nextState(constB10, constB11)),
% 47.38/29.83 inference(modus_ponens,[status(thm)],[1717, 1716])).
% 47.38/29.83 tff(1719,plain,
% 47.38/29.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))),
% 47.38/29.83 inference(rewrite,[status(thm)],[])).
% 47.38/29.83 tff(1720,plain,
% 47.38/29.83 (((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))),
% 47.38/29.83 inference(rewrite,[status(thm)],[])).
% 47.38/29.83 tff(1721,plain,
% 47.38/29.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11))))),
% 47.38/29.83 inference(monotonicity,[status(thm)],[1720])).
% 47.38/29.83 tff(1722,plain,
% 47.38/29.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))),
% 47.38/29.83 inference(transitivity,[status(thm)],[1721, 1719])).
% 47.38/29.83 tff(1723,plain,
% 47.38/29.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11))),
% 47.38/29.83 inference(quant_inst,[status(thm)],[])).
% 47.38/29.83 tff(1724,plain,
% 47.38/29.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11))),
% 47.38/29.83 inference(modus_ponens,[status(thm)],[1723, 1722])).
% 47.38/29.83 tff(1725,plain,
% 47.38/29.83 (~v95(constB11)),
% 47.38/29.83 inference(unit_resolution,[status(thm)],[1724, 110, 1718, 1715])).
% 47.38/29.83 tff(1726,plain,
% 47.38/29.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11)))),
% 47.38/29.83 inference(rewrite,[status(thm)],[])).
% 47.38/29.83 tff(1727,plain,
% 47.38/29.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11)))),
% 47.39/29.84 inference(quant_inst,[status(thm)],[])).
% 47.39/29.84 tff(1728,plain,
% 47.39/29.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11))),
% 47.39/29.84 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 47.39/29.84 tff(1729,plain,
% 47.39/29.84 (v95(constB11) | (~v94(constB11))),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1728, 127, 1718])).
% 47.39/29.84 tff(1730,plain,
% 47.39/29.84 (~v94(constB11)),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1729, 1725])).
% 47.39/29.84 tff(1731,plain,
% 47.39/29.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex2)))),
% 47.39/29.84 inference(rewrite,[status(thm)],[])).
% 47.39/29.84 tff(1732,plain,
% 47.39/29.84 (((~nextState(constB10, constB11)) | v84(constB10, bitIndex2) | v94(constB11) | (~v84(constB11, bitIndex2))) <=> (v84(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex2)))),
% 47.39/29.84 inference(rewrite,[status(thm)],[])).
% 47.39/29.84 tff(1733,plain,
% 47.39/29.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v84(constB10, bitIndex2) | v94(constB11) | (~v84(constB11, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex2))))),
% 47.39/29.84 inference(monotonicity,[status(thm)],[1732])).
% 47.39/29.84 tff(1734,plain,
% 47.39/29.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v84(constB10, bitIndex2) | v94(constB11) | (~v84(constB11, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex2)))),
% 47.39/29.84 inference(transitivity,[status(thm)],[1733, 1731])).
% 47.39/29.84 tff(1735,plain,
% 47.39/29.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v84(constB10, bitIndex2) | v94(constB11) | (~v84(constB11, bitIndex2)))),
% 47.39/29.84 inference(quant_inst,[status(thm)],[])).
% 47.39/29.84 tff(1736,plain,
% 47.39/29.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex2))),
% 47.39/29.84 inference(modus_ponens,[status(thm)],[1735, 1734])).
% 47.39/29.84 tff(1737,plain,
% 47.39/29.84 (v84(constB10, bitIndex2) | v94(constB11) | (~v84(constB11, bitIndex2))),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1736, 142, 1718])).
% 47.39/29.84 tff(1738,plain,
% 47.39/29.84 (v84(constB10, bitIndex2) | (~v84(constB11, bitIndex2))),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1737, 1730])).
% 47.39/29.84 tff(1739,plain,
% 47.39/29.84 (~v84(constB11, bitIndex2)),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1738, 1712])).
% 47.39/29.84 tff(1740,plain,
% 47.39/29.84 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 47.39/29.84 inference(bind,[status(th)],[])).
% 47.39/29.84 tff(1741,plain,
% 47.39/29.84 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.39/29.84 inference(quant_intro,[status(thm)],[1740])).
% 47.39/29.84 tff(1742,plain,
% 47.39/29.84 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.39/29.84 inference(rewrite,[status(thm)],[])).
% 47.39/29.84 tff(1743,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_2')).
% 47.39/29.84 tff(1744,plain,
% 47.39/29.84 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.39/29.84 inference(modus_ponens,[status(thm)],[1743, 1742])).
% 47.39/29.84 tff(1745,plain,(
% 47.39/29.84 ![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.39/29.84 inference(skolemize,[status(sab)],[1744])).
% 47.39/29.84 tff(1746,plain,
% 47.39/29.84 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.39/29.84 inference(modus_ponens,[status(thm)],[1745, 1741])).
% 47.39/29.84 tff(1747,plain,
% 47.39/29.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB9)) | v124(constB9, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB9)) | v124(constB9, bitIndex1))),
% 47.39/29.84 inference(rewrite,[status(thm)],[])).
% 47.39/29.84 tff(1748,plain,
% 47.39/29.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB9)) | v124(constB9, bitIndex1))),
% 47.39/29.84 inference(quant_inst,[status(thm)],[])).
% 47.39/29.84 tff(1749,plain,
% 47.39/29.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB9)) | v124(constB9, bitIndex1)),
% 47.39/29.84 inference(modus_ponens,[status(thm)],[1748, 1747])).
% 47.39/29.84 tff(1750,plain,
% 47.39/29.84 (v124(constB9, bitIndex1)),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1749, 1746, 1598])).
% 47.39/29.84 tff(1751,plain,
% 47.39/29.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB9) | (~v124(constB9, bitIndex1)) | v121(constB9, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB9) | (~v124(constB9, bitIndex1)) | v121(constB9, bitIndex1))),
% 47.39/29.84 inference(rewrite,[status(thm)],[])).
% 47.39/29.84 tff(1752,plain,
% 47.39/29.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB9) | (~v124(constB9, bitIndex1)) | v121(constB9, bitIndex1))),
% 47.39/29.84 inference(quant_inst,[status(thm)],[])).
% 47.39/29.84 tff(1753,plain,
% 47.39/29.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB9) | (~v124(constB9, bitIndex1)) | v121(constB9, bitIndex1)),
% 47.39/29.84 inference(modus_ponens,[status(thm)],[1752, 1751])).
% 47.39/29.84 tff(1754,plain,
% 47.39/29.84 (v26(constB9) | v121(constB9, bitIndex1)),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1753, 857, 1750])).
% 47.39/29.84 tff(1755,plain,
% 47.39/29.84 (v121(constB9, bitIndex1)),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1754, 78])).
% 47.39/29.84 tff(1756,plain,
% 47.39/29.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex1)) | v123(constB10, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex1)) | v123(constB10, bitIndex1))),
% 47.39/29.84 inference(rewrite,[status(thm)],[])).
% 47.39/29.84 tff(1757,plain,
% 47.39/29.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex1)) | v123(constB10, bitIndex1))),
% 47.39/29.84 inference(quant_inst,[status(thm)],[])).
% 47.39/29.84 tff(1758,plain,
% 47.39/29.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex1)) | v123(constB10, bitIndex1)),
% 47.39/29.84 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 47.39/29.84 tff(1759,plain,
% 47.39/29.84 ((~v121(constB9, bitIndex1)) | v123(constB10, bitIndex1)),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1758, 872, 1649])).
% 47.39/29.84 tff(1760,plain,
% 47.39/29.84 (v123(constB10, bitIndex1)),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1759, 1755])).
% 47.39/29.84 tff(1761,plain,
% 47.39/29.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~v123(constB10, bitIndex1)) | (~v94(constB10)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB10, bitIndex1) | (~v123(constB10, bitIndex1)) | (~v94(constB10)))),
% 47.39/29.84 inference(rewrite,[status(thm)],[])).
% 47.39/29.84 tff(1762,plain,
% 47.39/29.84 ((v84(constB10, bitIndex1) | (~v94(constB10)) | (~v123(constB10, bitIndex1))) <=> (v84(constB10, bitIndex1) | (~v123(constB10, bitIndex1)) | (~v94(constB10)))),
% 47.39/29.84 inference(rewrite,[status(thm)],[])).
% 47.39/29.84 tff(1763,plain,
% 47.39/29.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~v94(constB10)) | (~v123(constB10, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~v123(constB10, bitIndex1)) | (~v94(constB10))))),
% 47.39/29.84 inference(monotonicity,[status(thm)],[1762])).
% 47.39/29.84 tff(1764,plain,
% 47.39/29.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~v94(constB10)) | (~v123(constB10, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB10, bitIndex1) | (~v123(constB10, bitIndex1)) | (~v94(constB10)))),
% 47.39/29.84 inference(transitivity,[status(thm)],[1763, 1761])).
% 47.39/29.84 tff(1765,plain,
% 47.39/29.84 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~v94(constB10)) | (~v123(constB10, bitIndex1)))),
% 47.39/29.84 inference(quant_inst,[status(thm)],[])).
% 47.39/29.84 tff(1766,plain,
% 47.39/29.84 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB10, bitIndex1) | (~v123(constB10, bitIndex1)) | (~v94(constB10))),
% 47.39/29.84 inference(modus_ponens,[status(thm)],[1765, 1764])).
% 47.39/29.84 tff(1767,plain,
% 47.39/29.84 (v84(constB10, bitIndex1) | (~v94(constB10))),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1766, 887, 1760])).
% 47.39/29.84 tff(1768,plain,
% 47.39/29.84 (v84(constB10, bitIndex1)),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1767, 1683])).
% 47.39/29.84 tff(1769,plain,
% 47.39/29.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex1))),
% 47.39/29.84 inference(rewrite,[status(thm)],[])).
% 47.39/29.84 tff(1770,plain,
% 47.39/29.84 (((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex1)) | v94(constB11) | v84(constB11, bitIndex1)) <=> ((~v84(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex1))),
% 47.39/29.84 inference(rewrite,[status(thm)],[])).
% 47.39/29.84 tff(1771,plain,
% 47.39/29.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex1)) | v94(constB11) | v84(constB11, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex1)))),
% 47.39/29.84 inference(monotonicity,[status(thm)],[1770])).
% 47.39/29.84 tff(1772,plain,
% 47.39/29.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex1)) | v94(constB11) | v84(constB11, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex1))),
% 47.39/29.84 inference(transitivity,[status(thm)],[1771, 1769])).
% 47.39/29.84 tff(1773,plain,
% 47.39/29.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex1)) | v94(constB11) | v84(constB11, bitIndex1))),
% 47.39/29.84 inference(quant_inst,[status(thm)],[])).
% 47.39/29.84 tff(1774,plain,
% 47.39/29.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex1)),
% 47.39/29.84 inference(modus_ponens,[status(thm)],[1773, 1772])).
% 47.39/29.84 tff(1775,plain,
% 47.39/29.84 ((~v84(constB10, bitIndex1)) | v94(constB11) | v84(constB11, bitIndex1)),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1774, 905, 1718])).
% 47.39/29.84 tff(1776,plain,
% 47.39/29.84 ((~v84(constB10, bitIndex1)) | v84(constB11, bitIndex1)),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1775, 1730])).
% 47.39/29.84 tff(1777,plain,
% 47.39/29.84 (v84(constB11, bitIndex1)),
% 47.39/29.84 inference(unit_resolution,[status(thm)],[1776, 1768])).
% 47.39/29.84 tff(1778,plain,
% 47.39/29.84 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 47.39/29.84 inference(bind,[status(th)],[])).
% 47.39/29.84 tff(1779,plain,
% 47.39/29.84 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 47.39/29.84 inference(quant_intro,[status(thm)],[1778])).
% 47.39/29.84 tff(1780,plain,
% 47.39/29.84 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 47.39/29.84 inference(rewrite,[status(thm)],[])).
% 47.39/29.84 tff(1781,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_1')).
% 47.39/29.84 tff(1782,plain,
% 47.39/29.84 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 47.39/29.84 inference(modus_ponens,[status(thm)],[1781, 1780])).
% 47.39/29.84 tff(1783,plain,(
% 47.39/29.84 ![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 47.39/29.84 inference(skolemize,[status(sab)],[1782])).
% 47.39/29.84 tff(1784,plain,
% 47.39/29.84 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 47.39/29.84 inference(modus_ponens,[status(thm)],[1783, 1779])).
% 47.39/29.84 tff(1785,plain,
% 47.39/29.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB9)) | v124(constB9, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB9)) | v124(constB9, bitIndex0))),
% 47.39/29.85 inference(rewrite,[status(thm)],[])).
% 47.39/29.85 tff(1786,plain,
% 47.39/29.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB9)) | v124(constB9, bitIndex0))),
% 47.39/29.85 inference(quant_inst,[status(thm)],[])).
% 47.39/29.85 tff(1787,plain,
% 47.39/29.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB9)) | v124(constB9, bitIndex0)),
% 47.39/29.85 inference(modus_ponens,[status(thm)],[1786, 1785])).
% 47.39/29.85 tff(1788,plain,
% 47.39/29.85 (v124(constB9, bitIndex0)),
% 47.39/29.85 inference(unit_resolution,[status(thm)],[1787, 1784, 1598])).
% 47.39/29.85 tff(1789,plain,
% 47.39/29.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0))),
% 47.39/29.85 inference(rewrite,[status(thm)],[])).
% 47.39/29.85 tff(1790,plain,
% 47.39/29.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0))),
% 47.39/29.85 inference(quant_inst,[status(thm)],[])).
% 47.39/29.85 tff(1791,plain,
% 47.39/29.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0)),
% 47.39/29.85 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 47.39/29.85 tff(1792,plain,
% 47.39/29.85 (v26(constB9) | v121(constB9, bitIndex0)),
% 47.39/29.85 inference(unit_resolution,[status(thm)],[1791, 1391, 1788])).
% 47.39/29.85 tff(1793,plain,
% 47.39/29.85 (v121(constB9, bitIndex0)),
% 47.39/29.85 inference(unit_resolution,[status(thm)],[1792, 78])).
% 47.39/29.85 tff(1794,plain,
% 47.39/29.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0))),
% 47.39/29.85 inference(rewrite,[status(thm)],[])).
% 47.39/29.85 tff(1795,plain,
% 47.39/29.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0))),
% 47.39/29.85 inference(quant_inst,[status(thm)],[])).
% 47.39/29.85 tff(1796,plain,
% 47.39/29.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0)),
% 47.39/29.85 inference(modus_ponens,[status(thm)],[1795, 1794])).
% 47.39/29.85 tff(1797,plain,
% 47.39/29.85 ((~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0)),
% 47.39/29.85 inference(unit_resolution,[status(thm)],[1796, 1406, 1649])).
% 47.39/29.85 tff(1798,plain,
% 47.39/29.85 (v123(constB10, bitIndex0)),
% 47.39/29.85 inference(unit_resolution,[status(thm)],[1797, 1793])).
% 47.39/29.85 tff(1799,plain,
% 47.39/29.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))),
% 47.39/29.85 inference(rewrite,[status(thm)],[])).
% 47.39/29.85 tff(1800,plain,
% 47.39/29.85 ((v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0))) <=> (v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))),
% 47.39/29.85 inference(rewrite,[status(thm)],[])).
% 47.39/29.85 tff(1801,plain,
% 47.39/29.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10))))),
% 47.39/29.85 inference(monotonicity,[status(thm)],[1800])).
% 47.39/29.85 tff(1802,plain,
% 47.39/29.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))),
% 47.39/29.85 inference(transitivity,[status(thm)],[1801, 1799])).
% 47.39/29.85 tff(1803,plain,
% 47.39/29.85 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0)))),
% 47.39/29.85 inference(quant_inst,[status(thm)],[])).
% 47.39/29.85 tff(1804,plain,
% 47.39/29.85 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10))),
% 47.39/29.85 inference(modus_ponens,[status(thm)],[1803, 1802])).
% 47.39/29.85 tff(1805,plain,
% 47.39/29.85 (v84(constB10, bitIndex0) | (~v94(constB10))),
% 47.39/29.85 inference(unit_resolution,[status(thm)],[1804, 1421, 1798])).
% 47.39/29.85 tff(1806,plain,
% 47.39/29.85 (v84(constB10, bitIndex0)),
% 47.39/29.85 inference(unit_resolution,[status(thm)],[1805, 1683])).
% 47.39/29.85 tff(1807,plain,
% 47.39/29.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))),
% 47.39/29.85 inference(rewrite,[status(thm)],[])).
% 47.39/29.85 tff(1808,plain,
% 47.39/29.85 (((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0)) <=> ((~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))),
% 47.39/29.85 inference(rewrite,[status(thm)],[])).
% 47.39/29.85 tff(1809,plain,
% 47.39/29.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0)))),
% 47.39/29.85 inference(monotonicity,[status(thm)],[1808])).
% 47.39/29.85 tff(1810,plain,
% 47.39/29.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))),
% 47.39/29.85 inference(transitivity,[status(thm)],[1809, 1807])).
% 47.39/29.85 tff(1811,plain,
% 47.39/29.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0))),
% 47.39/29.85 inference(quant_inst,[status(thm)],[])).
% 47.39/29.85 tff(1812,plain,
% 47.39/29.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0)),
% 47.39/29.85 inference(modus_ponens,[status(thm)],[1811, 1810])).
% 47.39/29.85 tff(1813,plain,
% 47.39/29.85 ((~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0)),
% 47.39/29.85 inference(unit_resolution,[status(thm)],[1812, 1439, 1718])).
% 47.39/29.85 tff(1814,plain,
% 47.39/29.85 ((~v84(constB10, bitIndex0)) | v84(constB11, bitIndex0)),
% 47.39/29.85 inference(unit_resolution,[status(thm)],[1813, 1730])).
% 47.39/29.85 tff(1815,plain,
% 47.39/29.85 (v84(constB11, bitIndex0)),
% 47.39/29.85 inference(unit_resolution,[status(thm)],[1814, 1806])).
% 47.39/29.85 tff(1816,plain,
% 47.39/29.85 (^[VarCurr: state_type] : refl(((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)))),
% 47.39/29.85 inference(bind,[status(th)],[])).
% 47.39/29.85 tff(1817,plain,
% 47.39/29.85 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 47.39/29.85 inference(quant_intro,[status(thm)],[1816])).
% 47.39/29.85 tff(1818,plain,
% 47.39/29.85 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 47.39/29.85 inference(rewrite,[status(thm)],[])).
% 47.39/29.85 tff(1819,plain,
% 47.39/29.85 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2))), (((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex1))) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2))), (((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex1))) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)))), ((((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex1))) | v116(VarCurr)) <=> (((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v116(VarCurr)))), rewrite((((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v116(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))), ((((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex1))) | v116(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))))),
% 47.39/29.85 inference(bind,[status(th)],[])).
% 47.39/29.85 tff(1820,plain,
% 47.39/29.85 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex1))) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 47.39/29.85 inference(quant_intro,[status(thm)],[1819])).
% 47.39/29.85 tff(1821,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex1))) | v116(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 47.39/29.85 tff(1822,plain,
% 47.39/29.85 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 47.39/29.85 inference(modus_ponens,[status(thm)],[1821, 1820])).
% 47.39/29.85 tff(1823,plain,
% 47.39/29.85 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 47.39/29.85 inference(modus_ponens,[status(thm)],[1822, 1818])).
% 47.39/29.85 tff(1824,plain,(
% 47.39/29.85 ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 47.39/29.85 inference(skolemize,[status(sab)],[1823])).
% 47.39/29.85 tff(1825,plain,
% 47.39/29.85 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 47.39/29.85 inference(modus_ponens,[status(thm)],[1824, 1817])).
% 47.39/29.85 tff(1826,plain,
% 47.39/29.85 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB11, bitIndex0)) | (~v84(constB11, bitIndex1)) | v84(constB11, bitIndex2) | v116(constB11))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB11, bitIndex0)) | (~v84(constB11, bitIndex1)) | v84(constB11, bitIndex2) | v116(constB11))),
% 47.39/29.85 inference(rewrite,[status(thm)],[])).
% 47.39/29.85 tff(1827,plain,
% 47.39/29.85 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB11, bitIndex0)) | (~v84(constB11, bitIndex1)) | v84(constB11, bitIndex2) | v116(constB11))),
% 47.39/29.85 inference(quant_inst,[status(thm)],[])).
% 47.39/29.85 tff(1828,plain,
% 47.39/29.85 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB11, bitIndex0)) | (~v84(constB11, bitIndex1)) | v84(constB11, bitIndex2) | v116(constB11)),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1827, 1826])).
% 47.39/29.86 tff(1829,plain,
% 47.39/29.86 (v116(constB11)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1828, 1825, 1815, 1777, 1739])).
% 47.39/29.86 tff(1830,plain,
% 47.39/29.86 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v110(VarCurr)) <=> ((~v116(VarCurr)) | v110(VarCurr)))),
% 47.39/29.86 inference(bind,[status(th)],[])).
% 47.39/29.86 tff(1831,plain,
% 47.39/29.86 (![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))),
% 47.39/29.86 inference(quant_intro,[status(thm)],[1830])).
% 47.39/29.86 tff(1832,plain,
% 47.39/29.86 (![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1833,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 47.39/29.86 tff(1834,plain,
% 47.39/29.86 (![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 47.39/29.86 tff(1835,plain,(
% 47.39/29.86 ![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))),
% 47.39/29.86 inference(skolemize,[status(sab)],[1834])).
% 47.39/29.86 tff(1836,plain,
% 47.39/29.86 (![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1835, 1831])).
% 47.39/29.86 tff(1837,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB11) | (~v116(constB11)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB11) | (~v116(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1838,plain,
% 47.39/29.86 (((~v116(constB11)) | v110(constB11)) <=> (v110(constB11) | (~v116(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1839,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB11)) | v110(constB11))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB11) | (~v116(constB11))))),
% 47.39/29.86 inference(monotonicity,[status(thm)],[1838])).
% 47.39/29.86 tff(1840,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB11)) | v110(constB11))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB11) | (~v116(constB11)))),
% 47.39/29.86 inference(transitivity,[status(thm)],[1839, 1837])).
% 47.39/29.86 tff(1841,plain,
% 47.39/29.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB11)) | v110(constB11))),
% 47.39/29.86 inference(quant_inst,[status(thm)],[])).
% 47.39/29.86 tff(1842,plain,
% 47.39/29.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB11) | (~v116(constB11))),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1841, 1840])).
% 47.39/29.86 tff(1843,plain,
% 47.39/29.86 (v110(constB11)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1842, 1836, 1829])).
% 47.39/29.86 tff(1844,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB11) | (~v110(constB11)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB11) | (~v110(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1845,plain,
% 47.39/29.86 (((~v110(constB11)) | v109(constB11)) <=> (v109(constB11) | (~v110(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1846,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB11)) | v109(constB11))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB11) | (~v110(constB11))))),
% 47.39/29.86 inference(monotonicity,[status(thm)],[1845])).
% 47.39/29.86 tff(1847,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB11)) | v109(constB11))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB11) | (~v110(constB11)))),
% 47.39/29.86 inference(transitivity,[status(thm)],[1846, 1844])).
% 47.39/29.86 tff(1848,plain,
% 47.39/29.86 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB11)) | v109(constB11))),
% 47.39/29.86 inference(quant_inst,[status(thm)],[])).
% 47.39/29.86 tff(1849,plain,
% 47.39/29.86 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB11) | (~v110(constB11))),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 47.39/29.86 tff(1850,plain,
% 47.39/29.86 (v109(constB11)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1849, 306, 1843])).
% 47.39/29.86 tff(1851,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v109(constB11)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v109(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1852,plain,
% 47.39/29.86 (((~v109(constB11)) | v108(constB11)) <=> (v108(constB11) | (~v109(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1853,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v109(constB11))))),
% 47.39/29.86 inference(monotonicity,[status(thm)],[1852])).
% 47.39/29.86 tff(1854,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v109(constB11)))),
% 47.39/29.86 inference(transitivity,[status(thm)],[1853, 1851])).
% 47.39/29.86 tff(1855,plain,
% 47.39/29.86 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB11)) | v108(constB11))),
% 47.39/29.86 inference(quant_inst,[status(thm)],[])).
% 47.39/29.86 tff(1856,plain,
% 47.39/29.86 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v109(constB11))),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1855, 1854])).
% 47.39/29.86 tff(1857,plain,
% 47.39/29.86 (v108(constB11)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1856, 320, 1850])).
% 47.39/29.86 tff(1858,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB11) | (~v108(constB11)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB11) | (~v108(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1859,plain,
% 47.39/29.86 (((~v108(constB11)) | v107(constB11)) <=> (v107(constB11) | (~v108(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1860,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB11)) | v107(constB11))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB11) | (~v108(constB11))))),
% 47.39/29.86 inference(monotonicity,[status(thm)],[1859])).
% 47.39/29.86 tff(1861,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB11)) | v107(constB11))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB11) | (~v108(constB11)))),
% 47.39/29.86 inference(transitivity,[status(thm)],[1860, 1858])).
% 47.39/29.86 tff(1862,plain,
% 47.39/29.86 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB11)) | v107(constB11))),
% 47.39/29.86 inference(quant_inst,[status(thm)],[])).
% 47.39/29.86 tff(1863,plain,
% 47.39/29.86 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB11) | (~v108(constB11))),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1862, 1861])).
% 47.39/29.86 tff(1864,plain,
% 47.39/29.86 (v107(constB11)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1863, 334, 1857])).
% 47.39/29.86 tff(1865,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | v106(constB11) | (~v107(constB11)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB11) | v106(constB11) | (~v107(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1866,plain,
% 47.39/29.86 ((v26(constB11) | (~v107(constB11)) | v106(constB11)) <=> (v26(constB11) | v106(constB11) | (~v107(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1867,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | (~v107(constB11)) | v106(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | v106(constB11) | (~v107(constB11))))),
% 47.39/29.86 inference(monotonicity,[status(thm)],[1866])).
% 47.39/29.86 tff(1868,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | (~v107(constB11)) | v106(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB11) | v106(constB11) | (~v107(constB11)))),
% 47.39/29.86 inference(transitivity,[status(thm)],[1867, 1865])).
% 47.39/29.86 tff(1869,plain,
% 47.39/29.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | (~v107(constB11)) | v106(constB11))),
% 47.39/29.86 inference(quant_inst,[status(thm)],[])).
% 47.39/29.86 tff(1870,plain,
% 47.39/29.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB11) | v106(constB11) | (~v107(constB11))),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1869, 1868])).
% 47.39/29.86 tff(1871,plain,
% 47.39/29.86 (v26(constB11) | v106(constB11)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1870, 348, 1864])).
% 47.39/29.86 tff(1872,plain,
% 47.39/29.86 (v106(constB11)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1871, 74])).
% 47.39/29.86 tff(1873,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB11) | (~v106(constB11)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB11) | (~v106(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1874,plain,
% 47.39/29.86 (((~v106(constB11)) | v102(constB11)) <=> (v102(constB11) | (~v106(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1875,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB11)) | v102(constB11))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB11) | (~v106(constB11))))),
% 47.39/29.86 inference(monotonicity,[status(thm)],[1874])).
% 47.39/29.86 tff(1876,plain,
% 47.39/29.86 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB11)) | v102(constB11))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB11) | (~v106(constB11)))),
% 47.39/29.86 inference(transitivity,[status(thm)],[1875, 1873])).
% 47.39/29.86 tff(1877,plain,
% 47.39/29.86 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB11)) | v102(constB11))),
% 47.39/29.86 inference(quant_inst,[status(thm)],[])).
% 47.39/29.86 tff(1878,plain,
% 47.39/29.86 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB11) | (~v106(constB11))),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1877, 1876])).
% 47.39/29.86 tff(1879,plain,
% 47.39/29.86 (v102(constB11)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1878, 504, 1872])).
% 47.39/29.86 tff(1880,plain,
% 47.39/29.86 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1881,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 47.39/29.86 tff(1882,plain,
% 47.39/29.86 (nextState(constB11, constB12)),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1881, 1880])).
% 47.39/29.86 tff(1883,plain,
% 47.39/29.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1884,plain,
% 47.39/29.86 (((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12)) <=> ((~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1885,plain,
% 47.39/29.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11))))),
% 47.39/29.86 inference(monotonicity,[status(thm)],[1884])).
% 47.39/29.86 tff(1886,plain,
% 47.39/29.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))),
% 47.39/29.86 inference(transitivity,[status(thm)],[1885, 1883])).
% 47.39/29.86 tff(1887,plain,
% 47.39/29.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12))),
% 47.39/29.86 inference(quant_inst,[status(thm)],[])).
% 47.39/29.86 tff(1888,plain,
% 47.39/29.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11))),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1887, 1886])).
% 47.39/29.86 tff(1889,plain,
% 47.39/29.86 (v104(constB12) | (~v102(constB11))),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1888, 489, 1882])).
% 47.39/29.86 tff(1890,plain,
% 47.39/29.86 (v104(constB12)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1889, 1879])).
% 47.39/29.86 tff(1891,plain,
% 47.39/29.86 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1892,plain,
% 47.39/29.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12)))),
% 47.39/29.86 inference(quant_inst,[status(thm)],[])).
% 47.39/29.86 tff(1893,plain,
% 47.39/29.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12))),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1892, 1891])).
% 47.39/29.86 tff(1894,plain,
% 47.39/29.86 (~v98(constB12)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1893, 423, 1882, 1715])).
% 47.39/29.86 tff(1895,plain,
% 47.39/29.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB11, constB12)) | v96(constB12) | v98(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB11, constB12)) | v96(constB12) | v98(constB12))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1896,plain,
% 47.39/29.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB11, constB12)) | v96(constB12) | v98(constB12))),
% 47.39/29.86 inference(quant_inst,[status(thm)],[])).
% 47.39/29.86 tff(1897,plain,
% 47.39/29.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB11, constB12)) | v96(constB12) | v98(constB12)),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 47.39/29.86 tff(1898,plain,
% 47.39/29.86 (v96(constB12) | v98(constB12)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1897, 437, 1882])).
% 47.39/29.86 tff(1899,plain,
% 47.39/29.86 (v96(constB12)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1898, 1894])).
% 47.39/29.86 tff(1900,plain,
% 47.39/29.86 (v1(constB12) <=> v1(constB12)),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1901,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 47.39/29.86 tff(1902,plain,
% 47.39/29.86 (v1(constB12)),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 47.39/29.86 tff(1903,plain,
% 47.39/29.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1904,plain,
% 47.39/29.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12)))),
% 47.39/29.86 inference(quant_inst,[status(thm)],[])).
% 47.39/29.86 tff(1905,plain,
% 47.39/29.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12))),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1904, 1903])).
% 47.39/29.86 tff(1906,plain,
% 47.39/29.86 (v95(constB12) | (~v96(constB12))),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1905, 455, 1882, 1902])).
% 47.39/29.86 tff(1907,plain,
% 47.39/29.86 (v95(constB12)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1906, 1899])).
% 47.39/29.86 tff(1908,plain,
% 47.39/29.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1909,plain,
% 47.39/29.86 (((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12)) <=> ((~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.86 tff(1910,plain,
% 47.39/29.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12))))),
% 47.39/29.86 inference(monotonicity,[status(thm)],[1909])).
% 47.39/29.86 tff(1911,plain,
% 47.39/29.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))),
% 47.39/29.86 inference(transitivity,[status(thm)],[1910, 1908])).
% 47.39/29.86 tff(1912,plain,
% 47.39/29.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12))),
% 47.39/29.86 inference(quant_inst,[status(thm)],[])).
% 47.39/29.86 tff(1913,plain,
% 47.39/29.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12))),
% 47.39/29.86 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 47.39/29.86 tff(1914,plain,
% 47.39/29.86 (v94(constB12) | (~v95(constB12)) | (~v104(constB12))),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1913, 470, 1882])).
% 47.39/29.86 tff(1915,plain,
% 47.39/29.86 (v94(constB12) | (~v104(constB12))),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1914, 1907])).
% 47.39/29.86 tff(1916,plain,
% 47.39/29.86 (v94(constB12)),
% 47.39/29.86 inference(unit_resolution,[status(thm)],[1915, 1890])).
% 47.39/29.86 tff(1917,plain,
% 47.39/29.86 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 47.39/29.86 inference(bind,[status(th)],[])).
% 47.39/29.86 tff(1918,plain,
% 47.39/29.86 (![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.39/29.86 inference(quant_intro,[status(thm)],[1917])).
% 47.39/29.86 tff(1919,plain,
% 47.39/29.86 (![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.39/29.86 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1920,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 47.39/29.87 tff(1921,plain,
% 47.39/29.87 (![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1920, 1919])).
% 47.39/29.87 tff(1922,plain,(
% 47.39/29.87 ![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.39/29.87 inference(skolemize,[status(sab)],[1921])).
% 47.39/29.87 tff(1923,plain,
% 47.39/29.87 (![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1922, 1918])).
% 47.39/29.87 tff(1924,plain,
% 47.39/29.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB11)) | v124(constB11, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB11)) | v124(constB11, bitIndex2))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1925,plain,
% 47.39/29.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB11)) | v124(constB11, bitIndex2))),
% 47.39/29.87 inference(quant_inst,[status(thm)],[])).
% 47.39/29.87 tff(1926,plain,
% 47.39/29.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB11)) | v124(constB11, bitIndex2)),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 47.39/29.87 tff(1927,plain,
% 47.39/29.87 (v124(constB11, bitIndex2)),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1926, 1923, 1829])).
% 47.39/29.87 tff(1928,plain,
% 47.39/29.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1929,plain,
% 47.39/29.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2))),
% 47.39/29.87 inference(quant_inst,[status(thm)],[])).
% 47.39/29.87 tff(1930,plain,
% 47.39/29.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2)),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1929, 1928])).
% 47.39/29.87 tff(1931,plain,
% 47.39/29.87 (v26(constB11) | v121(constB11, bitIndex2)),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1930, 374, 1927])).
% 47.39/29.87 tff(1932,plain,
% 47.39/29.87 (v121(constB11, bitIndex2)),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1931, 74])).
% 47.39/29.87 tff(1933,plain,
% 47.39/29.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1934,plain,
% 47.39/29.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2))),
% 47.39/29.87 inference(quant_inst,[status(thm)],[])).
% 47.39/29.87 tff(1935,plain,
% 47.39/29.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2)),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1934, 1933])).
% 47.39/29.87 tff(1936,plain,
% 47.39/29.87 ((~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2)),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1935, 389, 1882])).
% 47.39/29.87 tff(1937,plain,
% 47.39/29.87 (v123(constB12, bitIndex2)),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1936, 1932])).
% 47.39/29.87 tff(1938,plain,
% 47.39/29.87 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1939,plain,
% 47.39/29.87 ((v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2))) <=> (v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1940,plain,
% 47.39/29.87 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12))))),
% 47.39/29.87 inference(monotonicity,[status(thm)],[1939])).
% 47.39/29.87 tff(1941,plain,
% 47.39/29.87 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))),
% 47.39/29.87 inference(transitivity,[status(thm)],[1940, 1938])).
% 47.39/29.87 tff(1942,plain,
% 47.39/29.87 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2)))),
% 47.39/29.87 inference(quant_inst,[status(thm)],[])).
% 47.39/29.87 tff(1943,plain,
% 47.39/29.87 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12))),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1942, 1941])).
% 47.39/29.87 tff(1944,plain,
% 47.39/29.87 (v84(constB12, bitIndex2) | (~v94(constB12))),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1943, 405, 1937])).
% 47.39/29.87 tff(1945,plain,
% 47.39/29.87 (v84(constB12, bitIndex2)),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1944, 1916])).
% 47.39/29.87 tff(1946,plain,
% 47.39/29.87 ((~v1(constB13)) <=> (~v1(constB13))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1947,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 47.39/29.87 tff(1948,plain,
% 47.39/29.87 (~v1(constB13)),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1947, 1946])).
% 47.39/29.87 tff(1949,plain,
% 47.39/29.87 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1950,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 47.39/29.87 tff(1951,plain,
% 47.39/29.87 (nextState(constB12, constB13)),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1950, 1949])).
% 47.39/29.87 tff(1952,plain,
% 47.39/29.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1953,plain,
% 47.39/29.87 (((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1954,plain,
% 47.39/29.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13))))),
% 47.39/29.87 inference(monotonicity,[status(thm)],[1953])).
% 47.39/29.87 tff(1955,plain,
% 47.39/29.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))),
% 47.39/29.87 inference(transitivity,[status(thm)],[1954, 1952])).
% 47.39/29.87 tff(1956,plain,
% 47.39/29.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13))),
% 47.39/29.87 inference(quant_inst,[status(thm)],[])).
% 47.39/29.87 tff(1957,plain,
% 47.39/29.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13))),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 47.39/29.87 tff(1958,plain,
% 47.39/29.87 (~v95(constB13)),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1957, 110, 1951, 1948])).
% 47.39/29.87 tff(1959,plain,
% 47.39/29.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13)))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1960,plain,
% 47.39/29.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13)))),
% 47.39/29.87 inference(quant_inst,[status(thm)],[])).
% 47.39/29.87 tff(1961,plain,
% 47.39/29.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13))),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 47.39/29.87 tff(1962,plain,
% 47.39/29.87 (v95(constB13) | (~v94(constB13))),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1961, 127, 1951])).
% 47.39/29.87 tff(1963,plain,
% 47.39/29.87 (~v94(constB13)),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1962, 1958])).
% 47.39/29.87 tff(1964,plain,
% 47.39/29.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1965,plain,
% 47.39/29.87 (((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2)) <=> ((~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1966,plain,
% 47.39/29.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2)))),
% 47.39/29.87 inference(monotonicity,[status(thm)],[1965])).
% 47.39/29.87 tff(1967,plain,
% 47.39/29.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))),
% 47.39/29.87 inference(transitivity,[status(thm)],[1966, 1964])).
% 47.39/29.87 tff(1968,plain,
% 47.39/29.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2))),
% 47.39/29.87 inference(quant_inst,[status(thm)],[])).
% 47.39/29.87 tff(1969,plain,
% 47.39/29.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2)),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 47.39/29.87 tff(1970,plain,
% 47.39/29.87 ((~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2)),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1969, 576, 1951])).
% 47.39/29.87 tff(1971,plain,
% 47.39/29.87 ((~v84(constB12, bitIndex2)) | v84(constB13, bitIndex2)),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1970, 1963])).
% 47.39/29.87 tff(1972,plain,
% 47.39/29.87 (v84(constB13, bitIndex2)),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1971, 1945])).
% 47.39/29.87 tff(1973,plain,
% 47.39/29.87 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 47.39/29.87 inference(bind,[status(th)],[])).
% 47.39/29.87 tff(1974,plain,
% 47.39/29.87 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 47.39/29.87 inference(quant_intro,[status(thm)],[1973])).
% 47.39/29.87 tff(1975,plain,
% 47.39/29.87 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1976,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 47.39/29.87 tff(1977,plain,
% 47.39/29.87 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1976, 1975])).
% 47.39/29.87 tff(1978,plain,(
% 47.39/29.87 ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 47.39/29.87 inference(skolemize,[status(sab)],[1977])).
% 47.39/29.87 tff(1979,plain,
% 47.39/29.87 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1978, 1974])).
% 47.39/29.87 tff(1980,plain,
% 47.39/29.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB11)) | (~v124(constB11, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB11)) | (~v124(constB11, bitIndex1)))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1981,plain,
% 47.39/29.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB11)) | (~v124(constB11, bitIndex1)))),
% 47.39/29.87 inference(quant_inst,[status(thm)],[])).
% 47.39/29.87 tff(1982,plain,
% 47.39/29.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB11)) | (~v124(constB11, bitIndex1))),
% 47.39/29.87 inference(modus_ponens,[status(thm)],[1981, 1980])).
% 47.39/29.87 tff(1983,plain,
% 47.39/29.87 (~v124(constB11, bitIndex1)),
% 47.39/29.87 inference(unit_resolution,[status(thm)],[1982, 1979, 1829])).
% 47.39/29.87 tff(1984,plain,
% 47.39/29.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB11, bitIndex1)) | v26(constB11) | v124(constB11, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB11, bitIndex1)) | v26(constB11) | v124(constB11, bitIndex1))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1985,plain,
% 47.39/29.87 ((v26(constB11) | v124(constB11, bitIndex1) | (~v121(constB11, bitIndex1))) <=> ((~v121(constB11, bitIndex1)) | v26(constB11) | v124(constB11, bitIndex1))),
% 47.39/29.87 inference(rewrite,[status(thm)],[])).
% 47.39/29.87 tff(1986,plain,
% 47.39/29.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB11) | v124(constB11, bitIndex1) | (~v121(constB11, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB11, bitIndex1)) | v26(constB11) | v124(constB11, bitIndex1)))),
% 47.39/29.88 inference(monotonicity,[status(thm)],[1985])).
% 47.39/29.88 tff(1987,plain,
% 47.39/29.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB11) | v124(constB11, bitIndex1) | (~v121(constB11, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB11, bitIndex1)) | v26(constB11) | v124(constB11, bitIndex1))),
% 47.39/29.88 inference(transitivity,[status(thm)],[1986, 1984])).
% 47.39/29.88 tff(1988,plain,
% 47.39/29.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB11) | v124(constB11, bitIndex1) | (~v121(constB11, bitIndex1)))),
% 47.39/29.88 inference(quant_inst,[status(thm)],[])).
% 47.39/29.88 tff(1989,plain,
% 47.39/29.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB11, bitIndex1)) | v26(constB11) | v124(constB11, bitIndex1)),
% 47.39/29.88 inference(modus_ponens,[status(thm)],[1988, 1987])).
% 47.39/29.88 tff(1990,plain,
% 47.39/29.88 ((~v121(constB11, bitIndex1)) | v26(constB11)),
% 47.39/29.88 inference(unit_resolution,[status(thm)],[1989, 233, 1983])).
% 47.39/29.88 tff(1991,plain,
% 47.39/29.88 (~v121(constB11, bitIndex1)),
% 47.39/29.88 inference(unit_resolution,[status(thm)],[1990, 74])).
% 47.39/29.88 tff(1992,plain,
% 47.39/29.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v121(constB11, bitIndex1) | (~v123(constB12, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v121(constB11, bitIndex1) | (~v123(constB12, bitIndex1)))),
% 47.39/29.88 inference(rewrite,[status(thm)],[])).
% 47.39/29.88 tff(1993,plain,
% 47.39/29.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v121(constB11, bitIndex1) | (~v123(constB12, bitIndex1)))),
% 47.39/29.88 inference(quant_inst,[status(thm)],[])).
% 47.39/29.88 tff(1994,plain,
% 47.39/29.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v121(constB11, bitIndex1) | (~v123(constB12, bitIndex1))),
% 47.39/29.88 inference(modus_ponens,[status(thm)],[1993, 1992])).
% 47.39/29.88 tff(1995,plain,
% 47.39/29.88 (v121(constB11, bitIndex1) | (~v123(constB12, bitIndex1))),
% 47.39/29.88 inference(unit_resolution,[status(thm)],[1994, 254, 1882])).
% 47.39/29.88 tff(1996,plain,
% 47.39/29.88 (~v123(constB12, bitIndex1)),
% 47.39/29.88 inference(unit_resolution,[status(thm)],[1995, 1991])).
% 47.39/29.88 tff(1997,plain,
% 47.39/29.88 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | v123(constB12, bitIndex1) | (~v94(constB12)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB12, bitIndex1)) | v123(constB12, bitIndex1) | (~v94(constB12)))),
% 47.39/29.88 inference(rewrite,[status(thm)],[])).
% 47.39/29.88 tff(1998,plain,
% 47.39/29.88 (((~v84(constB12, bitIndex1)) | (~v94(constB12)) | v123(constB12, bitIndex1)) <=> ((~v84(constB12, bitIndex1)) | v123(constB12, bitIndex1) | (~v94(constB12)))),
% 47.39/29.88 inference(rewrite,[status(thm)],[])).
% 47.39/29.88 tff(1999,plain,
% 47.39/29.88 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | (~v94(constB12)) | v123(constB12, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | v123(constB12, bitIndex1) | (~v94(constB12))))),
% 47.39/29.88 inference(monotonicity,[status(thm)],[1998])).
% 47.39/29.88 tff(2000,plain,
% 47.39/29.88 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | (~v94(constB12)) | v123(constB12, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB12, bitIndex1)) | v123(constB12, bitIndex1) | (~v94(constB12)))),
% 47.39/29.88 inference(transitivity,[status(thm)],[1999, 1997])).
% 47.39/29.88 tff(2001,plain,
% 47.39/29.88 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | (~v94(constB12)) | v123(constB12, bitIndex1))),
% 47.39/29.88 inference(quant_inst,[status(thm)],[])).
% 47.39/29.88 tff(2002,plain,
% 47.39/29.88 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB12, bitIndex1)) | v123(constB12, bitIndex1) | (~v94(constB12))),
% 47.39/29.88 inference(modus_ponens,[status(thm)],[2001, 2000])).
% 47.39/29.88 tff(2003,plain,
% 47.39/29.88 ((~v84(constB12, bitIndex1)) | (~v94(constB12))),
% 47.39/29.88 inference(unit_resolution,[status(thm)],[2002, 532, 1996])).
% 47.39/29.88 tff(2004,plain,
% 47.39/29.88 (~v84(constB12, bitIndex1)),
% 47.39/29.88 inference(unit_resolution,[status(thm)],[2003, 1916])).
% 47.39/29.88 tff(2005,plain,
% 47.39/29.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex1)))),
% 47.39/29.88 inference(rewrite,[status(thm)],[])).
% 47.39/29.88 tff(2006,plain,
% 47.39/29.88 (((~nextState(constB12, constB13)) | v84(constB12, bitIndex1) | v94(constB13) | (~v84(constB13, bitIndex1))) <=> (v84(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex1)))),
% 47.39/29.88 inference(rewrite,[status(thm)],[])).
% 47.39/29.88 tff(2007,plain,
% 47.39/29.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex1) | v94(constB13) | (~v84(constB13, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex1))))),
% 47.39/29.88 inference(monotonicity,[status(thm)],[2006])).
% 47.39/29.88 tff(2008,plain,
% 47.39/29.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex1) | v94(constB13) | (~v84(constB13, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex1)))),
% 47.39/29.88 inference(transitivity,[status(thm)],[2007, 2005])).
% 47.39/29.88 tff(2009,plain,
% 47.39/29.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex1) | v94(constB13) | (~v84(constB13, bitIndex1)))),
% 47.39/29.88 inference(quant_inst,[status(thm)],[])).
% 47.39/29.88 tff(2010,plain,
% 47.39/29.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex1))),
% 47.39/29.88 inference(modus_ponens,[status(thm)],[2009, 2008])).
% 47.39/29.88 tff(2011,plain,
% 47.39/29.88 (v84(constB12, bitIndex1) | v94(constB13) | (~v84(constB13, bitIndex1))),
% 47.39/29.88 inference(unit_resolution,[status(thm)],[2010, 163, 1951])).
% 47.39/29.88 tff(2012,plain,
% 47.39/29.88 (v84(constB12, bitIndex1) | (~v84(constB13, bitIndex1))),
% 47.39/29.88 inference(unit_resolution,[status(thm)],[2011, 1963])).
% 47.39/29.88 tff(2013,plain,
% 47.39/29.88 (~v84(constB13, bitIndex1)),
% 47.39/29.88 inference(unit_resolution,[status(thm)],[2012, 2004])).
% 47.39/29.88 tff(2014,plain,
% 47.39/29.88 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 47.39/29.88 inference(bind,[status(th)],[])).
% 47.39/29.88 tff(2015,plain,
% 47.39/29.88 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.39/29.88 inference(quant_intro,[status(thm)],[2014])).
% 47.39/29.88 tff(2016,plain,
% 47.39/29.88 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.39/29.88 inference(rewrite,[status(thm)],[])).
% 47.39/29.88 tff(2017,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 47.39/29.88 tff(2018,plain,
% 47.39/29.88 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.39/29.88 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 47.39/29.88 tff(2019,plain,(
% 47.39/29.88 ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.39/29.88 inference(skolemize,[status(sab)],[2018])).
% 47.39/29.88 tff(2020,plain,
% 47.39/29.88 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 47.39/29.88 inference(modus_ponens,[status(thm)],[2019, 2015])).
% 47.39/29.88 tff(2021,plain,
% 47.39/29.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB11)) | (~v124(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB11)) | (~v124(constB11, bitIndex0)))),
% 47.39/29.88 inference(rewrite,[status(thm)],[])).
% 47.39/29.88 tff(2022,plain,
% 47.39/29.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB11)) | (~v124(constB11, bitIndex0)))),
% 47.39/29.88 inference(quant_inst,[status(thm)],[])).
% 47.39/29.88 tff(2023,plain,
% 47.39/29.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB11)) | (~v124(constB11, bitIndex0))),
% 47.39/29.88 inference(modus_ponens,[status(thm)],[2022, 2021])).
% 47.39/29.88 tff(2024,plain,
% 47.39/29.88 (~v124(constB11, bitIndex0)),
% 47.39/29.88 inference(unit_resolution,[status(thm)],[2023, 2020, 1829])).
% 47.39/29.88 tff(2025,plain,
% 47.39/29.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))),
% 47.39/29.88 inference(rewrite,[status(thm)],[])).
% 47.39/29.88 tff(2026,plain,
% 47.39/29.88 ((v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0))) <=> ((~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))),
% 47.39/29.88 inference(rewrite,[status(thm)],[])).
% 47.39/29.88 tff(2027,plain,
% 47.39/29.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0)))),
% 47.39/29.88 inference(monotonicity,[status(thm)],[2026])).
% 47.39/29.88 tff(2028,plain,
% 47.39/29.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))),
% 47.39/29.88 inference(transitivity,[status(thm)],[2027, 2025])).
% 47.39/29.88 tff(2029,plain,
% 47.39/29.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0)))),
% 47.39/29.89 inference(quant_inst,[status(thm)],[])).
% 47.39/29.89 tff(2030,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0)),
% 47.39/29.89 inference(modus_ponens,[status(thm)],[2029, 2028])).
% 47.39/29.89 tff(2031,plain,
% 47.39/29.89 ((~v121(constB11, bitIndex0)) | v26(constB11)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2030, 607, 2024])).
% 47.39/29.89 tff(2032,plain,
% 47.39/29.89 (~v121(constB11, bitIndex0)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2031, 74])).
% 47.39/29.89 tff(2033,plain,
% 47.39/29.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2034,plain,
% 47.39/29.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0)))),
% 47.39/29.89 inference(quant_inst,[status(thm)],[])).
% 47.39/29.89 tff(2035,plain,
% 47.39/29.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0))),
% 47.39/29.89 inference(modus_ponens,[status(thm)],[2034, 2033])).
% 47.39/29.89 tff(2036,plain,
% 47.39/29.89 (v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0))),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2035, 637, 1882])).
% 47.39/29.89 tff(2037,plain,
% 47.39/29.89 (~v123(constB12, bitIndex0)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2036, 2032])).
% 47.39/29.89 tff(2038,plain,
% 47.39/29.89 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2039,plain,
% 47.39/29.89 (((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0)) <=> ((~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2040,plain,
% 47.39/29.89 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12))))),
% 47.39/29.89 inference(monotonicity,[status(thm)],[2039])).
% 47.39/29.89 tff(2041,plain,
% 47.39/29.89 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))),
% 47.39/29.89 inference(transitivity,[status(thm)],[2040, 2038])).
% 47.39/29.89 tff(2042,plain,
% 47.39/29.89 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0))),
% 47.39/29.89 inference(quant_inst,[status(thm)],[])).
% 47.39/29.89 tff(2043,plain,
% 47.39/29.89 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12))),
% 47.39/29.89 inference(modus_ponens,[status(thm)],[2042, 2041])).
% 47.39/29.89 tff(2044,plain,
% 47.39/29.89 ((~v84(constB12, bitIndex0)) | (~v94(constB12))),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2043, 652, 2037])).
% 47.39/29.89 tff(2045,plain,
% 47.39/29.89 (~v84(constB12, bitIndex0)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2044, 1916])).
% 47.39/29.89 tff(2046,plain,
% 47.39/29.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2047,plain,
% 47.39/29.89 (((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0))) <=> (v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2048,plain,
% 47.39/29.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0))))),
% 47.39/29.89 inference(monotonicity,[status(thm)],[2047])).
% 47.39/29.89 tff(2049,plain,
% 47.39/29.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 47.39/29.89 inference(transitivity,[status(thm)],[2048, 2046])).
% 47.39/29.89 tff(2050,plain,
% 47.39/29.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 47.39/29.89 inference(quant_inst,[status(thm)],[])).
% 47.39/29.89 tff(2051,plain,
% 47.39/29.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0))),
% 47.39/29.89 inference(modus_ponens,[status(thm)],[2050, 2049])).
% 47.39/29.89 tff(2052,plain,
% 47.39/29.89 (v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0))),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2051, 184, 1951])).
% 47.39/29.89 tff(2053,plain,
% 47.39/29.89 (v84(constB12, bitIndex0) | (~v84(constB13, bitIndex0))),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2052, 1963])).
% 47.39/29.89 tff(2054,plain,
% 47.39/29.89 (~v84(constB13, bitIndex0)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2053, 2045])).
% 47.39/29.89 tff(2055,plain,
% 47.39/29.89 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex2)) | v172(constB13))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex2)) | v172(constB13))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2056,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex2)) | v172(constB13))),
% 47.39/29.89 inference(quant_inst,[status(thm)],[])).
% 47.39/29.89 tff(2057,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex2)) | v172(constB13)),
% 47.39/29.89 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 47.39/29.89 tff(2058,plain,
% 47.39/29.89 (v172(constB13)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2057, 679, 2054, 2013, 1972])).
% 47.39/29.89 tff(2059,plain,
% 47.39/29.89 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB13) | (~v172(constB13)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB13) | (~v172(constB13)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2060,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB13) | (~v172(constB13)))),
% 47.39/29.89 inference(quant_inst,[status(thm)],[])).
% 47.39/29.89 tff(2061,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB13) | (~v172(constB13))),
% 47.39/29.89 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 47.39/29.89 tff(2062,plain,
% 47.39/29.89 (v109(constB13)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2061, 740, 2058])).
% 47.39/29.89 tff(2063,plain,
% 47.39/29.89 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v109(constB13)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v109(constB13)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2064,plain,
% 47.39/29.89 (((~v109(constB13)) | v108(constB13)) <=> (v108(constB13) | (~v109(constB13)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2065,plain,
% 47.39/29.89 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v109(constB13))))),
% 47.39/29.89 inference(monotonicity,[status(thm)],[2064])).
% 47.39/29.89 tff(2066,plain,
% 47.39/29.89 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v109(constB13)))),
% 47.39/29.89 inference(transitivity,[status(thm)],[2065, 2063])).
% 47.39/29.89 tff(2067,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB13)) | v108(constB13))),
% 47.39/29.89 inference(quant_inst,[status(thm)],[])).
% 47.39/29.89 tff(2068,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v109(constB13))),
% 47.39/29.89 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 47.39/29.89 tff(2069,plain,
% 47.39/29.89 (v108(constB13)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2068, 320, 2062])).
% 47.39/29.89 tff(2070,plain,
% 47.39/29.89 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB13)) | v107(constB13))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB13)) | v107(constB13))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2071,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB13)) | v107(constB13))),
% 47.39/29.89 inference(quant_inst,[status(thm)],[])).
% 47.39/29.89 tff(2072,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB13)) | v107(constB13)),
% 47.39/29.89 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 47.39/29.89 tff(2073,plain,
% 47.39/29.89 (v107(constB13)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2072, 334, 2069])).
% 47.39/29.89 tff(2074,plain,
% 47.39/29.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | (~v107(constB13)) | v106(constB13))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB13) | (~v107(constB13)) | v106(constB13))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2075,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | (~v107(constB13)) | v106(constB13))),
% 47.39/29.89 inference(quant_inst,[status(thm)],[])).
% 47.39/29.89 tff(2076,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB13) | (~v107(constB13)) | v106(constB13)),
% 47.39/29.89 inference(modus_ponens,[status(thm)],[2075, 2074])).
% 47.39/29.89 tff(2077,plain,
% 47.39/29.89 (v26(constB13) | v106(constB13)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2076, 348, 2073])).
% 47.39/29.89 tff(2078,plain,
% 47.39/29.89 (v106(constB13)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2077, 70])).
% 47.39/29.89 tff(2079,plain,
% 47.39/29.89 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB13) | (~v106(constB13)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB13) | (~v106(constB13)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2080,plain,
% 47.39/29.89 (((~v106(constB13)) | v102(constB13)) <=> (v102(constB13) | (~v106(constB13)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2081,plain,
% 47.39/29.89 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB13)) | v102(constB13))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB13) | (~v106(constB13))))),
% 47.39/29.89 inference(monotonicity,[status(thm)],[2080])).
% 47.39/29.89 tff(2082,plain,
% 47.39/29.89 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB13)) | v102(constB13))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB13) | (~v106(constB13)))),
% 47.39/29.89 inference(transitivity,[status(thm)],[2081, 2079])).
% 47.39/29.89 tff(2083,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB13)) | v102(constB13))),
% 47.39/29.89 inference(quant_inst,[status(thm)],[])).
% 47.39/29.89 tff(2084,plain,
% 47.39/29.89 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB13) | (~v106(constB13))),
% 47.39/29.89 inference(modus_ponens,[status(thm)],[2083, 2082])).
% 47.39/29.89 tff(2085,plain,
% 47.39/29.89 (v102(constB13)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2084, 504, 2078])).
% 47.39/29.89 tff(2086,plain,
% 47.39/29.89 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2087,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 47.39/29.89 tff(2088,plain,
% 47.39/29.89 (nextState(constB13, constB14)),
% 47.39/29.89 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 47.39/29.89 tff(2089,plain,
% 47.39/29.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2090,plain,
% 47.39/29.89 (((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14)) <=> ((~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2091,plain,
% 47.39/29.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13))))),
% 47.39/29.89 inference(monotonicity,[status(thm)],[2090])).
% 47.39/29.89 tff(2092,plain,
% 47.39/29.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))),
% 47.39/29.89 inference(transitivity,[status(thm)],[2091, 2089])).
% 47.39/29.89 tff(2093,plain,
% 47.39/29.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14))),
% 47.39/29.89 inference(quant_inst,[status(thm)],[])).
% 47.39/29.89 tff(2094,plain,
% 47.39/29.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13))),
% 47.39/29.89 inference(modus_ponens,[status(thm)],[2093, 2092])).
% 47.39/29.89 tff(2095,plain,
% 47.39/29.89 (v104(constB14) | (~v102(constB13))),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2094, 489, 2088])).
% 47.39/29.89 tff(2096,plain,
% 47.39/29.89 (v104(constB14)),
% 47.39/29.89 inference(unit_resolution,[status(thm)],[2095, 2085])).
% 47.39/29.89 tff(2097,plain,
% 47.39/29.89 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14)))),
% 47.39/29.89 inference(rewrite,[status(thm)],[])).
% 47.39/29.89 tff(2098,plain,
% 47.39/29.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14)))),
% 47.39/29.89 inference(quant_inst,[status(thm)],[])).
% 47.39/29.90 tff(2099,plain,
% 47.39/29.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14))),
% 47.39/29.90 inference(modus_ponens,[status(thm)],[2098, 2097])).
% 47.39/29.90 tff(2100,plain,
% 47.39/29.90 (~v98(constB14)),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2099, 423, 2088, 1948])).
% 47.39/29.90 tff(2101,plain,
% 47.39/29.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB13, constB14)) | v96(constB14) | v98(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB13, constB14)) | v96(constB14) | v98(constB14))),
% 47.39/29.90 inference(rewrite,[status(thm)],[])).
% 47.39/29.90 tff(2102,plain,
% 47.39/29.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB13, constB14)) | v96(constB14) | v98(constB14))),
% 47.39/29.90 inference(quant_inst,[status(thm)],[])).
% 47.39/29.90 tff(2103,plain,
% 47.39/29.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB13, constB14)) | v96(constB14) | v98(constB14)),
% 47.39/29.90 inference(modus_ponens,[status(thm)],[2102, 2101])).
% 47.39/29.90 tff(2104,plain,
% 47.39/29.90 (v96(constB14) | v98(constB14)),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2103, 437, 2088])).
% 47.39/29.90 tff(2105,plain,
% 47.39/29.90 (v96(constB14)),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2104, 2100])).
% 47.39/29.90 tff(2106,plain,
% 47.39/29.90 (v1(constB14) <=> v1(constB14)),
% 47.39/29.90 inference(rewrite,[status(thm)],[])).
% 47.39/29.90 tff(2107,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 47.39/29.90 tff(2108,plain,
% 47.39/29.90 (v1(constB14)),
% 47.39/29.90 inference(modus_ponens,[status(thm)],[2107, 2106])).
% 47.39/29.90 tff(2109,plain,
% 47.39/29.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14)))),
% 47.39/29.90 inference(rewrite,[status(thm)],[])).
% 47.39/29.90 tff(2110,plain,
% 47.39/29.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14)))),
% 47.39/29.90 inference(quant_inst,[status(thm)],[])).
% 47.39/29.90 tff(2111,plain,
% 47.39/29.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14))),
% 47.39/29.90 inference(modus_ponens,[status(thm)],[2110, 2109])).
% 47.39/29.90 tff(2112,plain,
% 47.39/29.90 (v95(constB14) | (~v96(constB14))),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2111, 455, 2088, 2108])).
% 47.39/29.90 tff(2113,plain,
% 47.39/29.90 (v95(constB14)),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2112, 2105])).
% 47.39/29.90 tff(2114,plain,
% 47.39/29.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))),
% 47.39/29.90 inference(rewrite,[status(thm)],[])).
% 47.39/29.90 tff(2115,plain,
% 47.39/29.90 (((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14)) <=> ((~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))),
% 47.39/29.90 inference(rewrite,[status(thm)],[])).
% 47.39/29.90 tff(2116,plain,
% 47.39/29.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14))))),
% 47.39/29.90 inference(monotonicity,[status(thm)],[2115])).
% 47.39/29.90 tff(2117,plain,
% 47.39/29.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))),
% 47.39/29.90 inference(transitivity,[status(thm)],[2116, 2114])).
% 47.39/29.90 tff(2118,plain,
% 47.39/29.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14))),
% 47.39/29.90 inference(quant_inst,[status(thm)],[])).
% 47.39/29.90 tff(2119,plain,
% 47.39/29.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14))),
% 47.39/29.90 inference(modus_ponens,[status(thm)],[2118, 2117])).
% 47.39/29.90 tff(2120,plain,
% 47.39/29.90 (v94(constB14) | (~v95(constB14)) | (~v104(constB14))),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2119, 470, 2088])).
% 47.39/29.90 tff(2121,plain,
% 47.39/29.90 (v94(constB14) | (~v104(constB14))),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2120, 2113])).
% 47.39/29.90 tff(2122,plain,
% 47.39/29.90 (v94(constB14)),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2121, 2096])).
% 47.39/29.90 tff(2123,plain,
% 47.39/29.90 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB13)) | v124(constB13, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB13)) | v124(constB13, bitIndex2))),
% 47.39/29.90 inference(rewrite,[status(thm)],[])).
% 47.39/29.90 tff(2124,plain,
% 47.39/29.90 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB13)) | v124(constB13, bitIndex2))),
% 47.39/29.90 inference(quant_inst,[status(thm)],[])).
% 47.39/29.90 tff(2125,plain,
% 47.39/29.90 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB13)) | v124(constB13, bitIndex2)),
% 47.39/29.90 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 47.39/29.90 tff(2126,plain,
% 47.39/29.90 (v124(constB13, bitIndex2)),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2125, 691, 2058])).
% 47.39/29.90 tff(2127,plain,
% 47.39/29.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB13) | (~v124(constB13, bitIndex2)) | v121(constB13, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB13) | (~v124(constB13, bitIndex2)) | v121(constB13, bitIndex2))),
% 47.39/29.90 inference(rewrite,[status(thm)],[])).
% 47.39/29.90 tff(2128,plain,
% 47.39/29.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB13) | (~v124(constB13, bitIndex2)) | v121(constB13, bitIndex2))),
% 47.39/29.90 inference(quant_inst,[status(thm)],[])).
% 47.39/29.90 tff(2129,plain,
% 47.39/29.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB13) | (~v124(constB13, bitIndex2)) | v121(constB13, bitIndex2)),
% 47.39/29.90 inference(modus_ponens,[status(thm)],[2128, 2127])).
% 47.39/29.90 tff(2130,plain,
% 47.39/29.90 (v26(constB13) | v121(constB13, bitIndex2)),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2129, 374, 2126])).
% 47.39/29.90 tff(2131,plain,
% 47.39/29.90 (v121(constB13, bitIndex2)),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2130, 70])).
% 47.39/29.90 tff(2132,plain,
% 47.39/29.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB13, constB14)) | (~v121(constB13, bitIndex2)) | v123(constB14, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB13, constB14)) | (~v121(constB13, bitIndex2)) | v123(constB14, bitIndex2))),
% 47.39/29.90 inference(rewrite,[status(thm)],[])).
% 47.39/29.90 tff(2133,plain,
% 47.39/29.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB13, constB14)) | (~v121(constB13, bitIndex2)) | v123(constB14, bitIndex2))),
% 47.39/29.90 inference(quant_inst,[status(thm)],[])).
% 47.39/29.90 tff(2134,plain,
% 47.39/29.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB13, constB14)) | (~v121(constB13, bitIndex2)) | v123(constB14, bitIndex2)),
% 47.39/29.90 inference(modus_ponens,[status(thm)],[2133, 2132])).
% 47.39/29.90 tff(2135,plain,
% 47.39/29.90 ((~v121(constB13, bitIndex2)) | v123(constB14, bitIndex2)),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2134, 389, 2088])).
% 47.39/29.90 tff(2136,plain,
% 47.39/29.90 (v123(constB14, bitIndex2)),
% 47.39/29.90 inference(unit_resolution,[status(thm)],[2135, 2131])).
% 47.39/29.90 tff(2137,plain,
% 47.39/29.90 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~v123(constB14, bitIndex2)) | (~v94(constB14)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB14, bitIndex2) | (~v123(constB14, bitIndex2)) | (~v94(constB14)))),
% 47.39/29.90 inference(rewrite,[status(thm)],[])).
% 47.39/29.90 tff(2138,plain,
% 47.39/29.90 ((v84(constB14, bitIndex2) | (~v94(constB14)) | (~v123(constB14, bitIndex2))) <=> (v84(constB14, bitIndex2) | (~v123(constB14, bitIndex2)) | (~v94(constB14)))),
% 47.39/29.90 inference(rewrite,[status(thm)],[])).
% 47.39/29.90 tff(2139,plain,
% 47.39/29.90 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~v94(constB14)) | (~v123(constB14, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~v123(constB14, bitIndex2)) | (~v94(constB14))))),
% 47.39/29.90 inference(monotonicity,[status(thm)],[2138])).
% 47.39/29.90 tff(2140,plain,
% 47.39/29.90 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~v94(constB14)) | (~v123(constB14, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB14, bitIndex2) | (~v123(constB14, bitIndex2)) | (~v94(constB14)))),
% 47.39/29.90 inference(transitivity,[status(thm)],[2139, 2137])).
% 47.39/29.90 tff(2141,plain,
% 47.39/29.90 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~v94(constB14)) | (~v123(constB14, bitIndex2)))),
% 47.39/29.90 inference(quant_inst,[status(thm)],[])).
% 47.39/29.90 tff(2142,plain,
% 47.39/29.90 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB14, bitIndex2) | (~v123(constB14, bitIndex2)) | (~v94(constB14))),
% 47.46/29.90 inference(modus_ponens,[status(thm)],[2141, 2140])).
% 47.46/29.90 tff(2143,plain,
% 47.46/29.90 (v84(constB14, bitIndex2) | (~v94(constB14))),
% 47.46/29.90 inference(unit_resolution,[status(thm)],[2142, 405, 2136])).
% 47.46/29.90 tff(2144,plain,
% 47.46/29.90 (v84(constB14, bitIndex2)),
% 47.46/29.90 inference(unit_resolution,[status(thm)],[2143, 2122])).
% 47.46/29.90 tff(2145,plain,
% 47.46/29.90 ((~v1(constB15)) <=> (~v1(constB15))),
% 47.46/29.90 inference(rewrite,[status(thm)],[])).
% 47.46/29.90 tff(2146,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 47.46/29.90 tff(2147,plain,
% 47.46/29.90 (~v1(constB15)),
% 47.46/29.90 inference(modus_ponens,[status(thm)],[2146, 2145])).
% 47.46/29.90 tff(2148,plain,
% 47.46/29.90 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 47.46/29.90 inference(rewrite,[status(thm)],[])).
% 47.46/29.90 tff(2149,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 47.46/29.90 tff(2150,plain,
% 47.46/29.90 (nextState(constB14, constB15)),
% 47.46/29.90 inference(modus_ponens,[status(thm)],[2149, 2148])).
% 47.46/29.90 tff(2151,plain,
% 47.46/29.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))),
% 47.46/29.90 inference(rewrite,[status(thm)],[])).
% 47.46/29.90 tff(2152,plain,
% 47.46/29.90 (((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))),
% 47.46/29.90 inference(rewrite,[status(thm)],[])).
% 47.46/29.90 tff(2153,plain,
% 47.46/29.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15))))),
% 47.46/29.90 inference(monotonicity,[status(thm)],[2152])).
% 47.46/29.90 tff(2154,plain,
% 47.46/29.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))),
% 47.46/29.90 inference(transitivity,[status(thm)],[2153, 2151])).
% 47.46/29.90 tff(2155,plain,
% 47.46/29.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15))),
% 47.46/29.90 inference(quant_inst,[status(thm)],[])).
% 47.46/29.90 tff(2156,plain,
% 47.46/29.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15))),
% 47.46/29.90 inference(modus_ponens,[status(thm)],[2155, 2154])).
% 47.46/29.90 tff(2157,plain,
% 47.46/29.90 (~v95(constB15)),
% 47.46/29.90 inference(unit_resolution,[status(thm)],[2156, 110, 2150, 2147])).
% 47.46/29.90 tff(2158,plain,
% 47.46/29.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15)))),
% 47.46/29.90 inference(rewrite,[status(thm)],[])).
% 47.46/29.90 tff(2159,plain,
% 47.46/29.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15)))),
% 47.46/29.90 inference(quant_inst,[status(thm)],[])).
% 47.46/29.90 tff(2160,plain,
% 47.46/29.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15))),
% 47.46/29.91 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 47.46/29.91 tff(2161,plain,
% 47.46/29.91 (v95(constB15) | (~v94(constB15))),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2160, 127, 2150])).
% 47.46/29.91 tff(2162,plain,
% 47.46/29.91 (~v94(constB15)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2161, 2157])).
% 47.46/29.91 tff(2163,plain,
% 47.46/29.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex2))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2164,plain,
% 47.46/29.91 (((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex2)) | v94(constB15) | v84(constB15, bitIndex2)) <=> ((~v84(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex2))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2165,plain,
% 47.46/29.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex2)) | v94(constB15) | v84(constB15, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex2)))),
% 47.46/29.91 inference(monotonicity,[status(thm)],[2164])).
% 47.46/29.91 tff(2166,plain,
% 47.46/29.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex2)) | v94(constB15) | v84(constB15, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex2))),
% 47.46/29.91 inference(transitivity,[status(thm)],[2165, 2163])).
% 47.46/29.91 tff(2167,plain,
% 47.46/29.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex2)) | v94(constB15) | v84(constB15, bitIndex2))),
% 47.46/29.91 inference(quant_inst,[status(thm)],[])).
% 47.46/29.91 tff(2168,plain,
% 47.46/29.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex2)),
% 47.46/29.91 inference(modus_ponens,[status(thm)],[2167, 2166])).
% 47.46/29.91 tff(2169,plain,
% 47.46/29.91 ((~v84(constB14, bitIndex2)) | v94(constB15) | v84(constB15, bitIndex2)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2168, 576, 2150])).
% 47.46/29.91 tff(2170,plain,
% 47.46/29.91 ((~v84(constB14, bitIndex2)) | v84(constB15, bitIndex2)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2169, 2162])).
% 47.46/29.91 tff(2171,plain,
% 47.46/29.91 (v84(constB15, bitIndex2)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2170, 2144])).
% 47.46/29.91 tff(2172,plain,
% 47.46/29.91 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB13)) | v124(constB13, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB13)) | v124(constB13, bitIndex1))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2173,plain,
% 47.46/29.91 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB13)) | v124(constB13, bitIndex1))),
% 47.46/29.91 inference(quant_inst,[status(thm)],[])).
% 47.46/29.91 tff(2174,plain,
% 47.46/29.91 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB13)) | v124(constB13, bitIndex1)),
% 47.46/29.91 inference(modus_ponens,[status(thm)],[2173, 2172])).
% 47.46/29.91 tff(2175,plain,
% 47.46/29.91 (v124(constB13, bitIndex1)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2174, 843, 2058])).
% 47.46/29.91 tff(2176,plain,
% 47.46/29.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB13) | (~v124(constB13, bitIndex1)) | v121(constB13, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB13) | (~v124(constB13, bitIndex1)) | v121(constB13, bitIndex1))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2177,plain,
% 47.46/29.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB13) | (~v124(constB13, bitIndex1)) | v121(constB13, bitIndex1))),
% 47.46/29.91 inference(quant_inst,[status(thm)],[])).
% 47.46/29.91 tff(2178,plain,
% 47.46/29.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB13) | (~v124(constB13, bitIndex1)) | v121(constB13, bitIndex1)),
% 47.46/29.91 inference(modus_ponens,[status(thm)],[2177, 2176])).
% 47.46/29.91 tff(2179,plain,
% 47.46/29.91 (v26(constB13) | v121(constB13, bitIndex1)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2178, 857, 2175])).
% 47.46/29.91 tff(2180,plain,
% 47.46/29.91 (v121(constB13, bitIndex1)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2179, 70])).
% 47.46/29.91 tff(2181,plain,
% 47.46/29.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v121(constB13, bitIndex1)) | v123(constB14, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB13, constB14)) | (~v121(constB13, bitIndex1)) | v123(constB14, bitIndex1))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2182,plain,
% 47.46/29.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v121(constB13, bitIndex1)) | v123(constB14, bitIndex1))),
% 47.46/29.91 inference(quant_inst,[status(thm)],[])).
% 47.46/29.91 tff(2183,plain,
% 47.46/29.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB13, constB14)) | (~v121(constB13, bitIndex1)) | v123(constB14, bitIndex1)),
% 47.46/29.91 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 47.46/29.91 tff(2184,plain,
% 47.46/29.91 ((~v121(constB13, bitIndex1)) | v123(constB14, bitIndex1)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2183, 872, 2088])).
% 47.46/29.91 tff(2185,plain,
% 47.46/29.91 (v123(constB14, bitIndex1)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2184, 2180])).
% 47.46/29.91 tff(2186,plain,
% 47.46/29.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~v123(constB14, bitIndex1)) | (~v94(constB14)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB14, bitIndex1) | (~v123(constB14, bitIndex1)) | (~v94(constB14)))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2187,plain,
% 47.46/29.91 ((v84(constB14, bitIndex1) | (~v94(constB14)) | (~v123(constB14, bitIndex1))) <=> (v84(constB14, bitIndex1) | (~v123(constB14, bitIndex1)) | (~v94(constB14)))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2188,plain,
% 47.46/29.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~v94(constB14)) | (~v123(constB14, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~v123(constB14, bitIndex1)) | (~v94(constB14))))),
% 47.46/29.91 inference(monotonicity,[status(thm)],[2187])).
% 47.46/29.91 tff(2189,plain,
% 47.46/29.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~v94(constB14)) | (~v123(constB14, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB14, bitIndex1) | (~v123(constB14, bitIndex1)) | (~v94(constB14)))),
% 47.46/29.91 inference(transitivity,[status(thm)],[2188, 2186])).
% 47.46/29.91 tff(2190,plain,
% 47.46/29.91 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~v94(constB14)) | (~v123(constB14, bitIndex1)))),
% 47.46/29.91 inference(quant_inst,[status(thm)],[])).
% 47.46/29.91 tff(2191,plain,
% 47.46/29.91 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB14, bitIndex1) | (~v123(constB14, bitIndex1)) | (~v94(constB14))),
% 47.46/29.91 inference(modus_ponens,[status(thm)],[2190, 2189])).
% 47.46/29.91 tff(2192,plain,
% 47.46/29.91 (v84(constB14, bitIndex1) | (~v94(constB14))),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2191, 887, 2185])).
% 47.46/29.91 tff(2193,plain,
% 47.46/29.91 (v84(constB14, bitIndex1)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2192, 2122])).
% 47.46/29.91 tff(2194,plain,
% 47.46/29.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex1))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2195,plain,
% 47.46/29.91 (((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex1)) | v94(constB15) | v84(constB15, bitIndex1)) <=> ((~v84(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex1))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2196,plain,
% 47.46/29.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex1)) | v94(constB15) | v84(constB15, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex1)))),
% 47.46/29.91 inference(monotonicity,[status(thm)],[2195])).
% 47.46/29.91 tff(2197,plain,
% 47.46/29.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex1)) | v94(constB15) | v84(constB15, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex1))),
% 47.46/29.91 inference(transitivity,[status(thm)],[2196, 2194])).
% 47.46/29.91 tff(2198,plain,
% 47.46/29.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex1)) | v94(constB15) | v84(constB15, bitIndex1))),
% 47.46/29.91 inference(quant_inst,[status(thm)],[])).
% 47.46/29.91 tff(2199,plain,
% 47.46/29.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex1)),
% 47.46/29.91 inference(modus_ponens,[status(thm)],[2198, 2197])).
% 47.46/29.91 tff(2200,plain,
% 47.46/29.91 ((~v84(constB14, bitIndex1)) | v94(constB15) | v84(constB15, bitIndex1)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2199, 905, 2150])).
% 47.46/29.91 tff(2201,plain,
% 47.46/29.91 ((~v84(constB14, bitIndex1)) | v84(constB15, bitIndex1)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2200, 2162])).
% 47.46/29.91 tff(2202,plain,
% 47.46/29.91 (v84(constB15, bitIndex1)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2201, 2193])).
% 47.46/29.91 tff(2203,assumption,(v121(constB13, bitIndex0)), introduced(assumption)).
% 47.46/29.91 tff(2204,plain,
% 47.46/29.91 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB13)) | (~v124(constB13, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB13)) | (~v124(constB13, bitIndex0)))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2205,plain,
% 47.46/29.91 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB13)) | (~v124(constB13, bitIndex0)))),
% 47.46/29.91 inference(quant_inst,[status(thm)],[])).
% 47.46/29.91 tff(2206,plain,
% 47.46/29.91 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB13)) | (~v124(constB13, bitIndex0))),
% 47.46/29.91 inference(modus_ponens,[status(thm)],[2205, 2204])).
% 47.46/29.91 tff(2207,plain,
% 47.46/29.91 (~v124(constB13, bitIndex0)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2206, 921, 2058])).
% 47.46/29.91 tff(2208,plain,
% 47.46/29.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB13, bitIndex0)) | v26(constB13) | v124(constB13, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB13, bitIndex0)) | v26(constB13) | v124(constB13, bitIndex0))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2209,plain,
% 47.46/29.91 ((v26(constB13) | v124(constB13, bitIndex0) | (~v121(constB13, bitIndex0))) <=> ((~v121(constB13, bitIndex0)) | v26(constB13) | v124(constB13, bitIndex0))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2210,plain,
% 47.46/29.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB13) | v124(constB13, bitIndex0) | (~v121(constB13, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB13, bitIndex0)) | v26(constB13) | v124(constB13, bitIndex0)))),
% 47.46/29.91 inference(monotonicity,[status(thm)],[2209])).
% 47.46/29.91 tff(2211,plain,
% 47.46/29.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB13) | v124(constB13, bitIndex0) | (~v121(constB13, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB13, bitIndex0)) | v26(constB13) | v124(constB13, bitIndex0))),
% 47.46/29.91 inference(transitivity,[status(thm)],[2210, 2208])).
% 47.46/29.91 tff(2212,plain,
% 47.46/29.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB13) | v124(constB13, bitIndex0) | (~v121(constB13, bitIndex0)))),
% 47.46/29.91 inference(quant_inst,[status(thm)],[])).
% 47.46/29.91 tff(2213,plain,
% 47.46/29.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB13, bitIndex0)) | v26(constB13) | v124(constB13, bitIndex0)),
% 47.46/29.91 inference(modus_ponens,[status(thm)],[2212, 2211])).
% 47.46/29.91 tff(2214,plain,
% 47.46/29.91 ((~v121(constB13, bitIndex0)) | v26(constB13)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2213, 607, 2207])).
% 47.46/29.91 tff(2215,plain,
% 47.46/29.91 (v26(constB13)),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2214, 2203])).
% 47.46/29.91 tff(2216,plain,
% 47.46/29.91 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB13)) | (~v121(constB13, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB13)) | (~v121(constB13, bitIndex0)))),
% 47.46/29.91 inference(rewrite,[status(thm)],[])).
% 47.46/29.91 tff(2217,plain,
% 47.46/29.91 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB13)) | (~v121(constB13, bitIndex0)))),
% 47.46/29.91 inference(quant_inst,[status(thm)],[])).
% 47.46/29.91 tff(2218,plain,
% 47.46/29.91 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB13)) | (~v121(constB13, bitIndex0))),
% 47.46/29.91 inference(modus_ponens,[status(thm)],[2217, 2216])).
% 47.46/29.91 tff(2219,plain,
% 47.46/29.91 ($false),
% 47.46/29.91 inference(unit_resolution,[status(thm)],[2218, 622, 2203, 2215])).
% 47.46/29.92 tff(2220,plain,(~v121(constB13, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 47.46/29.92 tff(2221,plain,
% 47.46/29.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v121(constB13, bitIndex0) | (~v123(constB14, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v121(constB13, bitIndex0) | (~v123(constB14, bitIndex0)))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2222,plain,
% 47.46/29.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v121(constB13, bitIndex0) | (~v123(constB14, bitIndex0)))),
% 47.46/29.92 inference(quant_inst,[status(thm)],[])).
% 47.46/29.92 tff(2223,plain,
% 47.46/29.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v121(constB13, bitIndex0) | (~v123(constB14, bitIndex0))),
% 47.46/29.92 inference(modus_ponens,[status(thm)],[2222, 2221])).
% 47.46/29.92 tff(2224,plain,
% 47.46/29.92 (v121(constB13, bitIndex0) | (~v123(constB14, bitIndex0))),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2223, 637, 2088])).
% 47.46/29.92 tff(2225,plain,
% 47.46/29.92 (~v123(constB14, bitIndex0)),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2224, 2220])).
% 47.46/29.92 tff(2226,plain,
% 47.46/29.92 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | v123(constB14, bitIndex0) | (~v94(constB14)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB14, bitIndex0)) | v123(constB14, bitIndex0) | (~v94(constB14)))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2227,plain,
% 47.46/29.92 (((~v84(constB14, bitIndex0)) | (~v94(constB14)) | v123(constB14, bitIndex0)) <=> ((~v84(constB14, bitIndex0)) | v123(constB14, bitIndex0) | (~v94(constB14)))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2228,plain,
% 47.46/29.92 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | (~v94(constB14)) | v123(constB14, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | v123(constB14, bitIndex0) | (~v94(constB14))))),
% 47.46/29.92 inference(monotonicity,[status(thm)],[2227])).
% 47.46/29.92 tff(2229,plain,
% 47.46/29.92 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | (~v94(constB14)) | v123(constB14, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB14, bitIndex0)) | v123(constB14, bitIndex0) | (~v94(constB14)))),
% 47.46/29.92 inference(transitivity,[status(thm)],[2228, 2226])).
% 47.46/29.92 tff(2230,plain,
% 47.46/29.92 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | (~v94(constB14)) | v123(constB14, bitIndex0))),
% 47.46/29.92 inference(quant_inst,[status(thm)],[])).
% 47.46/29.92 tff(2231,plain,
% 47.46/29.92 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB14, bitIndex0)) | v123(constB14, bitIndex0) | (~v94(constB14))),
% 47.46/29.92 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 47.46/29.92 tff(2232,plain,
% 47.46/29.92 ((~v84(constB14, bitIndex0)) | (~v94(constB14))),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2231, 652, 2225])).
% 47.46/29.92 tff(2233,plain,
% 47.46/29.92 (~v84(constB14, bitIndex0)),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2232, 2122])).
% 47.46/29.92 tff(2234,plain,
% 47.46/29.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex0)))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2235,plain,
% 47.46/29.92 (((~nextState(constB14, constB15)) | v84(constB14, bitIndex0) | v94(constB15) | (~v84(constB15, bitIndex0))) <=> (v84(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex0)))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2236,plain,
% 47.46/29.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex0) | v94(constB15) | (~v84(constB15, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex0))))),
% 47.46/29.92 inference(monotonicity,[status(thm)],[2235])).
% 47.46/29.92 tff(2237,plain,
% 47.46/29.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex0) | v94(constB15) | (~v84(constB15, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex0)))),
% 47.46/29.92 inference(transitivity,[status(thm)],[2236, 2234])).
% 47.46/29.92 tff(2238,plain,
% 47.46/29.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex0) | v94(constB15) | (~v84(constB15, bitIndex0)))),
% 47.46/29.92 inference(quant_inst,[status(thm)],[])).
% 47.46/29.92 tff(2239,plain,
% 47.46/29.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex0))),
% 47.46/29.92 inference(modus_ponens,[status(thm)],[2238, 2237])).
% 47.46/29.92 tff(2240,plain,
% 47.46/29.92 (v84(constB14, bitIndex0) | v94(constB15) | (~v84(constB15, bitIndex0))),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2239, 184, 2150])).
% 47.46/29.92 tff(2241,plain,
% 47.46/29.92 (v84(constB14, bitIndex0) | (~v84(constB15, bitIndex0))),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2240, 2162])).
% 47.46/29.92 tff(2242,plain,
% 47.46/29.92 (~v84(constB15, bitIndex0)),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2241, 2233])).
% 47.46/29.92 tff(2243,plain,
% 47.46/29.92 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB15, bitIndex0) | (~v84(constB15, bitIndex1)) | (~v84(constB15, bitIndex2)) | v119(constB15))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB15, bitIndex0) | (~v84(constB15, bitIndex1)) | (~v84(constB15, bitIndex2)) | v119(constB15))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2244,plain,
% 47.46/29.92 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB15, bitIndex0) | (~v84(constB15, bitIndex1)) | (~v84(constB15, bitIndex2)) | v119(constB15))),
% 47.46/29.92 inference(quant_inst,[status(thm)],[])).
% 47.46/29.92 tff(2245,plain,
% 47.46/29.92 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB15, bitIndex0) | (~v84(constB15, bitIndex1)) | (~v84(constB15, bitIndex2)) | v119(constB15)),
% 47.46/29.92 inference(modus_ponens,[status(thm)],[2244, 2243])).
% 47.46/29.92 tff(2246,plain,
% 47.46/29.92 (v119(constB15)),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2245, 965, 2242, 2202, 2171])).
% 47.46/29.92 tff(2247,plain,
% 47.46/29.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB15) | (~v119(constB15)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB15) | (~v119(constB15)))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2248,plain,
% 47.46/29.92 (((~v119(constB15)) | v107(constB15)) <=> (v107(constB15) | (~v119(constB15)))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2249,plain,
% 47.46/29.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB15)) | v107(constB15))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB15) | (~v119(constB15))))),
% 47.46/29.92 inference(monotonicity,[status(thm)],[2248])).
% 47.46/29.92 tff(2250,plain,
% 47.46/29.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB15)) | v107(constB15))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB15) | (~v119(constB15)))),
% 47.46/29.92 inference(transitivity,[status(thm)],[2249, 2247])).
% 47.46/29.92 tff(2251,plain,
% 47.46/29.92 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB15)) | v107(constB15))),
% 47.46/29.92 inference(quant_inst,[status(thm)],[])).
% 47.46/29.92 tff(2252,plain,
% 47.46/29.92 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB15) | (~v119(constB15))),
% 47.46/29.92 inference(modus_ponens,[status(thm)],[2251, 2250])).
% 47.46/29.92 tff(2253,plain,
% 47.46/29.92 (v107(constB15)),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2252, 976, 2246])).
% 47.46/29.92 tff(2254,plain,
% 47.46/29.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB15) | (~v107(constB15)) | v106(constB15))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB15) | (~v107(constB15)) | v106(constB15))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2255,plain,
% 47.46/29.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB15) | (~v107(constB15)) | v106(constB15))),
% 47.46/29.92 inference(quant_inst,[status(thm)],[])).
% 47.46/29.92 tff(2256,plain,
% 47.46/29.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB15) | (~v107(constB15)) | v106(constB15)),
% 47.46/29.92 inference(modus_ponens,[status(thm)],[2255, 2254])).
% 47.46/29.92 tff(2257,plain,
% 47.46/29.92 (v26(constB15) | v106(constB15)),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2256, 348, 2253])).
% 47.46/29.92 tff(2258,plain,
% 47.46/29.92 (v106(constB15)),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2257, 66])).
% 47.46/29.92 tff(2259,plain,
% 47.46/29.92 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB15) | (~v106(constB15)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB15) | (~v106(constB15)))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2260,plain,
% 47.46/29.92 (((~v106(constB15)) | v102(constB15)) <=> (v102(constB15) | (~v106(constB15)))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2261,plain,
% 47.46/29.92 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB15)) | v102(constB15))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB15) | (~v106(constB15))))),
% 47.46/29.92 inference(monotonicity,[status(thm)],[2260])).
% 47.46/29.92 tff(2262,plain,
% 47.46/29.92 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB15)) | v102(constB15))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB15) | (~v106(constB15)))),
% 47.46/29.92 inference(transitivity,[status(thm)],[2261, 2259])).
% 47.46/29.92 tff(2263,plain,
% 47.46/29.92 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB15)) | v102(constB15))),
% 47.46/29.92 inference(quant_inst,[status(thm)],[])).
% 47.46/29.92 tff(2264,plain,
% 47.46/29.92 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB15) | (~v106(constB15))),
% 47.46/29.92 inference(modus_ponens,[status(thm)],[2263, 2262])).
% 47.46/29.92 tff(2265,plain,
% 47.46/29.92 (v102(constB15)),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2264, 504, 2258])).
% 47.46/29.92 tff(2266,plain,
% 47.46/29.92 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2267,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 47.46/29.92 tff(2268,plain,
% 47.46/29.92 (nextState(constB15, constB16)),
% 47.46/29.92 inference(modus_ponens,[status(thm)],[2267, 2266])).
% 47.46/29.92 tff(2269,plain,
% 47.46/29.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2270,plain,
% 47.46/29.92 (((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16)) <=> ((~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2271,plain,
% 47.46/29.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15))))),
% 47.46/29.92 inference(monotonicity,[status(thm)],[2270])).
% 47.46/29.92 tff(2272,plain,
% 47.46/29.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))),
% 47.46/29.92 inference(transitivity,[status(thm)],[2271, 2269])).
% 47.46/29.92 tff(2273,plain,
% 47.46/29.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16))),
% 47.46/29.92 inference(quant_inst,[status(thm)],[])).
% 47.46/29.92 tff(2274,plain,
% 47.46/29.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15))),
% 47.46/29.92 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 47.46/29.92 tff(2275,plain,
% 47.46/29.92 (v104(constB16) | (~v102(constB15))),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2274, 489, 2268])).
% 47.46/29.92 tff(2276,plain,
% 47.46/29.92 (v104(constB16)),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2275, 2265])).
% 47.46/29.92 tff(2277,plain,
% 47.46/29.92 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16)))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2278,plain,
% 47.46/29.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16)))),
% 47.46/29.92 inference(quant_inst,[status(thm)],[])).
% 47.46/29.92 tff(2279,plain,
% 47.46/29.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16))),
% 47.46/29.92 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 47.46/29.92 tff(2280,plain,
% 47.46/29.92 (~v98(constB16)),
% 47.46/29.92 inference(unit_resolution,[status(thm)],[2279, 423, 2268, 2147])).
% 47.46/29.92 tff(2281,plain,
% 47.46/29.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB15, constB16)) | v96(constB16) | v98(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB15, constB16)) | v96(constB16) | v98(constB16))),
% 47.46/29.92 inference(rewrite,[status(thm)],[])).
% 47.46/29.92 tff(2282,plain,
% 47.46/29.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB15, constB16)) | v96(constB16) | v98(constB16))),
% 47.46/29.93 inference(quant_inst,[status(thm)],[])).
% 47.46/29.93 tff(2283,plain,
% 47.46/29.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB15, constB16)) | v96(constB16) | v98(constB16)),
% 47.46/29.93 inference(modus_ponens,[status(thm)],[2282, 2281])).
% 47.46/29.93 tff(2284,plain,
% 47.46/29.93 (v96(constB16) | v98(constB16)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2283, 437, 2268])).
% 47.46/29.93 tff(2285,plain,
% 47.46/29.93 (v96(constB16)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2284, 2280])).
% 47.46/29.93 tff(2286,plain,
% 47.46/29.93 (v1(constB16) <=> v1(constB16)),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2287,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 47.46/29.93 tff(2288,plain,
% 47.46/29.93 (v1(constB16)),
% 47.46/29.93 inference(modus_ponens,[status(thm)],[2287, 2286])).
% 47.46/29.93 tff(2289,plain,
% 47.46/29.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16)))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2290,plain,
% 47.46/29.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16)))),
% 47.46/29.93 inference(quant_inst,[status(thm)],[])).
% 47.46/29.93 tff(2291,plain,
% 47.46/29.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16))),
% 47.46/29.93 inference(modus_ponens,[status(thm)],[2290, 2289])).
% 47.46/29.93 tff(2292,plain,
% 47.46/29.93 (v95(constB16) | (~v96(constB16))),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2291, 455, 2268, 2288])).
% 47.46/29.93 tff(2293,plain,
% 47.46/29.93 (v95(constB16)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2292, 2285])).
% 47.46/29.93 tff(2294,plain,
% 47.46/29.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2295,plain,
% 47.46/29.93 (((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16)) <=> ((~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2296,plain,
% 47.46/29.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16))))),
% 47.46/29.93 inference(monotonicity,[status(thm)],[2295])).
% 47.46/29.93 tff(2297,plain,
% 47.46/29.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))),
% 47.46/29.93 inference(transitivity,[status(thm)],[2296, 2294])).
% 47.46/29.93 tff(2298,plain,
% 47.46/29.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16))),
% 47.46/29.93 inference(quant_inst,[status(thm)],[])).
% 47.46/29.93 tff(2299,plain,
% 47.46/29.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16))),
% 47.46/29.93 inference(modus_ponens,[status(thm)],[2298, 2297])).
% 47.46/29.93 tff(2300,plain,
% 47.46/29.93 (v94(constB16) | (~v95(constB16)) | (~v104(constB16))),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2299, 470, 2268])).
% 47.46/29.93 tff(2301,plain,
% 47.46/29.93 (v94(constB16) | (~v104(constB16))),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2300, 2293])).
% 47.46/29.93 tff(2302,plain,
% 47.46/29.93 (v94(constB16)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2301, 2276])).
% 47.46/29.93 tff(2303,assumption,(v121(constB15, bitIndex2)), introduced(assumption)).
% 47.46/29.93 tff(2304,plain,
% 47.46/29.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB15)) | (~v84(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB15)) | (~v84(constB15, bitIndex2)))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2305,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB15)) | (~v84(constB15, bitIndex2)))),
% 47.46/29.93 inference(quant_inst,[status(thm)],[])).
% 47.46/29.93 tff(2306,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB15)) | (~v84(constB15, bitIndex2))),
% 47.46/29.93 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 47.46/29.93 tff(2307,plain,
% 47.46/29.93 (~v115(constB15)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2306, 1036, 2171])).
% 47.46/29.93 tff(2308,plain,
% 47.46/29.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB15)) | (~v84(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB15)) | (~v84(constB15, bitIndex2)))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2309,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB15)) | (~v84(constB15, bitIndex2)))),
% 47.46/29.93 inference(quant_inst,[status(thm)],[])).
% 47.46/29.93 tff(2310,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB15)) | (~v84(constB15, bitIndex2))),
% 47.46/29.93 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 47.46/29.93 tff(2311,plain,
% 47.46/29.93 (~v116(constB15)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2310, 1047, 2171])).
% 47.46/29.93 tff(2312,plain,
% 47.46/29.93 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB15)) | (~v84(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB15)) | (~v84(constB15, bitIndex1)))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2313,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB15)) | (~v84(constB15, bitIndex1)))),
% 47.46/29.93 inference(quant_inst,[status(thm)],[])).
% 47.46/29.93 tff(2314,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB15)) | (~v84(constB15, bitIndex1))),
% 47.46/29.93 inference(modus_ponens,[status(thm)],[2313, 2312])).
% 47.46/29.93 tff(2315,plain,
% 47.46/29.93 (~v113(constB15)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2314, 1058, 2202])).
% 47.46/29.93 tff(2316,plain,
% 47.46/29.93 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB15)) | (~v84(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB15)) | (~v84(constB15, bitIndex1)))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2317,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB15)) | (~v84(constB15, bitIndex1)))),
% 47.46/29.93 inference(quant_inst,[status(thm)],[])).
% 47.46/29.93 tff(2318,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB15)) | (~v84(constB15, bitIndex1))),
% 47.46/29.93 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 47.46/29.93 tff(2319,plain,
% 47.46/29.93 (~v118(constB15)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2318, 1069, 2202])).
% 47.46/29.93 tff(2320,plain,
% 47.46/29.93 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB15)) | (~v84(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB15)) | (~v84(constB15, bitIndex1)))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2321,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB15)) | (~v84(constB15, bitIndex1)))),
% 47.46/29.93 inference(quant_inst,[status(thm)],[])).
% 47.46/29.93 tff(2322,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB15)) | (~v84(constB15, bitIndex1))),
% 47.46/29.93 inference(modus_ponens,[status(thm)],[2321, 2320])).
% 47.46/29.93 tff(2323,plain,
% 47.46/29.93 (~v172(constB15)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2322, 1080, 2202])).
% 47.46/29.93 tff(2324,plain,
% 47.46/29.93 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB15)) | (~v84(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB15)) | (~v84(constB15, bitIndex1)))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2325,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB15)) | (~v84(constB15, bitIndex1)))),
% 47.46/29.93 inference(quant_inst,[status(thm)],[])).
% 47.46/29.93 tff(2326,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB15)) | (~v84(constB15, bitIndex1))),
% 47.46/29.93 inference(modus_ponens,[status(thm)],[2325, 2324])).
% 47.46/29.93 tff(2327,plain,
% 47.46/29.93 (~v145(constB15)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2326, 1091, 2202])).
% 47.46/29.93 tff(2328,plain,
% 47.46/29.93 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB15) | (~v124(constB15, bitIndex2)) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB15) | (~v124(constB15, bitIndex2)) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2329,plain,
% 47.46/29.93 ((v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex2))) <=> (v145(constB15) | (~v124(constB15, bitIndex2)) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2330,plain,
% 47.46/29.93 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB15) | (~v124(constB15, bitIndex2)) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15)))),
% 47.46/29.93 inference(monotonicity,[status(thm)],[2329])).
% 47.46/29.93 tff(2331,plain,
% 47.46/29.93 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB15) | (~v124(constB15, bitIndex2)) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15))),
% 47.46/29.93 inference(transitivity,[status(thm)],[2330, 2328])).
% 47.46/29.93 tff(2332,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex2)))),
% 47.46/29.93 inference(quant_inst,[status(thm)],[])).
% 47.46/29.93 tff(2333,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB15) | (~v124(constB15, bitIndex2)) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15)),
% 47.46/29.93 inference(modus_ponens,[status(thm)],[2332, 2331])).
% 47.46/29.93 tff(2334,plain,
% 47.46/29.93 (~v124(constB15, bitIndex2)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2333, 1170, 2327, 2323, 2319, 2315, 2311, 2307])).
% 47.46/29.93 tff(2335,plain,
% 47.46/29.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2336,plain,
% 47.46/29.93 ((v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2))) <=> ((~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2337,plain,
% 47.46/29.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2)))),
% 47.46/29.93 inference(monotonicity,[status(thm)],[2336])).
% 47.46/29.93 tff(2338,plain,
% 47.46/29.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))),
% 47.46/29.93 inference(transitivity,[status(thm)],[2337, 2335])).
% 47.46/29.93 tff(2339,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2)))),
% 47.46/29.93 inference(quant_inst,[status(thm)],[])).
% 47.46/29.93 tff(2340,plain,
% 47.46/29.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2)),
% 47.46/29.93 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 47.46/29.93 tff(2341,plain,
% 47.46/29.93 ((~v121(constB15, bitIndex2)) | v26(constB15)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2340, 1187, 2334])).
% 47.46/29.93 tff(2342,plain,
% 47.46/29.93 (v26(constB15)),
% 47.46/29.93 inference(unit_resolution,[status(thm)],[2341, 2303])).
% 47.46/29.93 tff(2343,plain,
% 47.46/29.93 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))) <=> ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))))),
% 47.46/29.93 inference(bind,[status(th)],[])).
% 47.46/29.93 tff(2344,plain,
% 47.46/29.93 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 47.46/29.93 inference(quant_intro,[status(thm)],[2343])).
% 47.46/29.93 tff(2345,plain,
% 47.46/29.93 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 47.46/29.93 inference(rewrite,[status(thm)],[])).
% 47.46/29.93 tff(2346,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 47.46/29.94 tff(2347,plain,
% 47.46/29.94 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 47.46/29.94 inference(modus_ponens,[status(thm)],[2346, 2345])).
% 47.46/29.94 tff(2348,plain,(
% 47.46/29.94 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 47.46/29.94 inference(skolemize,[status(sab)],[2347])).
% 47.46/29.94 tff(2349,plain,
% 47.46/29.94 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 47.46/29.94 inference(modus_ponens,[status(thm)],[2348, 2344])).
% 47.46/29.94 tff(2350,plain,
% 47.46/29.94 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB15)) | (~v121(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB15)) | (~v121(constB15, bitIndex2)))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2351,plain,
% 47.46/29.94 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB15)) | (~v121(constB15, bitIndex2)))),
% 47.46/29.94 inference(quant_inst,[status(thm)],[])).
% 47.46/29.94 tff(2352,plain,
% 47.46/29.94 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB15)) | (~v121(constB15, bitIndex2))),
% 47.46/29.94 inference(modus_ponens,[status(thm)],[2351, 2350])).
% 47.46/29.94 tff(2353,plain,
% 47.46/29.94 ($false),
% 47.46/29.94 inference(unit_resolution,[status(thm)],[2352, 2349, 2303, 2342])).
% 47.46/29.94 tff(2354,plain,(~v121(constB15, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 47.46/29.94 tff(2355,plain,
% 47.46/29.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2)))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2356,plain,
% 47.46/29.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2)))),
% 47.46/29.94 inference(quant_inst,[status(thm)],[])).
% 47.46/29.94 tff(2357,plain,
% 47.46/29.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2))),
% 47.46/29.94 inference(modus_ponens,[status(thm)],[2356, 2355])).
% 47.46/29.94 tff(2358,plain,
% 47.46/29.94 (v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2))),
% 47.46/29.94 inference(unit_resolution,[status(thm)],[2357, 1205, 2268])).
% 47.46/29.94 tff(2359,plain,
% 47.46/29.94 (~v123(constB16, bitIndex2)),
% 47.46/29.94 inference(unit_resolution,[status(thm)],[2358, 2354])).
% 47.46/29.94 tff(2360,plain,
% 47.46/29.94 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2361,plain,
% 47.46/29.94 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))),
% 47.46/29.94 inference(quant_inst,[status(thm)],[])).
% 47.46/29.94 tff(2362,plain,
% 47.46/29.94 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16))),
% 47.46/29.94 inference(modus_ponens,[status(thm)],[2361, 2360])).
% 47.46/29.94 tff(2363,plain,
% 47.46/29.94 ((~v84(constB16, bitIndex2)) | (~v94(constB16))),
% 47.46/29.94 inference(unit_resolution,[status(thm)],[2362, 1220, 2359])).
% 47.46/29.94 tff(2364,plain,
% 47.46/29.94 (~v84(constB16, bitIndex2)),
% 47.46/29.94 inference(unit_resolution,[status(thm)],[2363, 2302])).
% 47.46/29.94 tff(2365,plain,
% 47.46/29.94 ((~v1(constB17)) <=> (~v1(constB17))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2366,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 47.46/29.94 tff(2367,plain,
% 47.46/29.94 (~v1(constB17)),
% 47.46/29.94 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 47.46/29.94 tff(2368,plain,
% 47.46/29.94 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2369,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 47.46/29.94 tff(2370,plain,
% 47.46/29.94 (nextState(constB16, constB17)),
% 47.46/29.94 inference(modus_ponens,[status(thm)],[2369, 2368])).
% 47.46/29.94 tff(2371,plain,
% 47.46/29.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2372,plain,
% 47.46/29.94 (((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2373,plain,
% 47.46/29.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17))))),
% 47.46/29.94 inference(monotonicity,[status(thm)],[2372])).
% 47.46/29.94 tff(2374,plain,
% 47.46/29.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))),
% 47.46/29.94 inference(transitivity,[status(thm)],[2373, 2371])).
% 47.46/29.94 tff(2375,plain,
% 47.46/29.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17))),
% 47.46/29.94 inference(quant_inst,[status(thm)],[])).
% 47.46/29.94 tff(2376,plain,
% 47.46/29.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17))),
% 47.46/29.94 inference(modus_ponens,[status(thm)],[2375, 2374])).
% 47.46/29.94 tff(2377,plain,
% 47.46/29.94 (~v95(constB17)),
% 47.46/29.94 inference(unit_resolution,[status(thm)],[2376, 110, 2370, 2367])).
% 47.46/29.94 tff(2378,plain,
% 47.46/29.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17)))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2379,plain,
% 47.46/29.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17)))),
% 47.46/29.94 inference(quant_inst,[status(thm)],[])).
% 47.46/29.94 tff(2380,plain,
% 47.46/29.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17))),
% 47.46/29.94 inference(modus_ponens,[status(thm)],[2379, 2378])).
% 47.46/29.94 tff(2381,plain,
% 47.46/29.94 (v95(constB17) | (~v94(constB17))),
% 47.46/29.94 inference(unit_resolution,[status(thm)],[2380, 127, 2370])).
% 47.46/29.94 tff(2382,plain,
% 47.46/29.94 (~v94(constB17)),
% 47.46/29.94 inference(unit_resolution,[status(thm)],[2381, 2377])).
% 47.46/29.94 tff(2383,plain,
% 47.46/29.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2384,plain,
% 47.46/29.94 (((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2))) <=> (v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2385,plain,
% 47.46/29.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2))))),
% 47.46/29.94 inference(monotonicity,[status(thm)],[2384])).
% 47.46/29.94 tff(2386,plain,
% 47.46/29.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 47.46/29.94 inference(transitivity,[status(thm)],[2385, 2383])).
% 47.46/29.94 tff(2387,plain,
% 47.46/29.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 47.46/29.94 inference(quant_inst,[status(thm)],[])).
% 47.46/29.94 tff(2388,plain,
% 47.46/29.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2))),
% 47.46/29.94 inference(modus_ponens,[status(thm)],[2387, 2386])).
% 47.46/29.94 tff(2389,plain,
% 47.46/29.94 (v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2))),
% 47.46/29.94 inference(unit_resolution,[status(thm)],[2388, 142, 2370])).
% 47.46/29.94 tff(2390,plain,
% 47.46/29.94 (v84(constB16, bitIndex2) | (~v84(constB17, bitIndex2))),
% 47.46/29.94 inference(unit_resolution,[status(thm)],[2389, 2382])).
% 47.46/29.94 tff(2391,plain,
% 47.46/29.94 (~v84(constB17, bitIndex2)),
% 47.46/29.94 inference(unit_resolution,[status(thm)],[2390, 2364])).
% 47.46/29.94 tff(2392,assumption,(v121(constB15, bitIndex1)), introduced(assumption)).
% 47.46/29.94 tff(2393,plain,
% 47.46/29.94 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB15) | (~v124(constB15, bitIndex1)) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB15) | (~v124(constB15, bitIndex1)) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2394,plain,
% 47.46/29.94 ((v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex1))) <=> (v145(constB15) | (~v124(constB15, bitIndex1)) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2395,plain,
% 47.46/29.94 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB15) | (~v124(constB15, bitIndex1)) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15)))),
% 47.46/29.94 inference(monotonicity,[status(thm)],[2394])).
% 47.46/29.94 tff(2396,plain,
% 47.46/29.94 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB15) | (~v124(constB15, bitIndex1)) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15))),
% 47.46/29.94 inference(transitivity,[status(thm)],[2395, 2393])).
% 47.46/29.94 tff(2397,plain,
% 47.46/29.94 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex1)))),
% 47.46/29.94 inference(quant_inst,[status(thm)],[])).
% 47.46/29.94 tff(2398,plain,
% 47.46/29.94 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB15) | (~v124(constB15, bitIndex1)) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15)),
% 47.46/29.94 inference(modus_ponens,[status(thm)],[2397, 2396])).
% 47.46/29.94 tff(2399,plain,
% 47.46/29.94 (~v124(constB15, bitIndex1)),
% 47.46/29.94 inference(unit_resolution,[status(thm)],[2398, 1105, 2327, 2323, 2319, 2315, 2311, 2307])).
% 47.46/29.94 tff(2400,plain,
% 47.46/29.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB15, bitIndex1)) | v26(constB15) | v124(constB15, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB15, bitIndex1)) | v26(constB15) | v124(constB15, bitIndex1))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2401,plain,
% 47.46/29.94 ((v26(constB15) | v124(constB15, bitIndex1) | (~v121(constB15, bitIndex1))) <=> ((~v121(constB15, bitIndex1)) | v26(constB15) | v124(constB15, bitIndex1))),
% 47.46/29.94 inference(rewrite,[status(thm)],[])).
% 47.46/29.94 tff(2402,plain,
% 47.46/29.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB15) | v124(constB15, bitIndex1) | (~v121(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB15, bitIndex1)) | v26(constB15) | v124(constB15, bitIndex1)))),
% 47.46/29.94 inference(monotonicity,[status(thm)],[2401])).
% 47.46/29.94 tff(2403,plain,
% 47.46/29.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB15) | v124(constB15, bitIndex1) | (~v121(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB15, bitIndex1)) | v26(constB15) | v124(constB15, bitIndex1))),
% 47.46/29.94 inference(transitivity,[status(thm)],[2402, 2400])).
% 47.46/29.94 tff(2404,plain,
% 47.46/29.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB15) | v124(constB15, bitIndex1) | (~v121(constB15, bitIndex1)))),
% 47.46/29.94 inference(quant_inst,[status(thm)],[])).
% 47.46/29.94 tff(2405,plain,
% 47.46/29.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB15, bitIndex1)) | v26(constB15) | v124(constB15, bitIndex1)),
% 47.46/29.95 inference(modus_ponens,[status(thm)],[2404, 2403])).
% 47.46/29.95 tff(2406,plain,
% 47.46/29.95 ((~v121(constB15, bitIndex1)) | v26(constB15)),
% 47.46/29.95 inference(unit_resolution,[status(thm)],[2405, 233, 2399])).
% 47.46/29.95 tff(2407,plain,
% 47.46/29.95 (v26(constB15)),
% 47.46/29.95 inference(unit_resolution,[status(thm)],[2406, 2392])).
% 47.46/29.95 tff(2408,plain,
% 47.46/29.95 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1))) <=> ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1))))),
% 47.46/29.95 inference(bind,[status(th)],[])).
% 47.46/29.95 tff(2409,plain,
% 47.46/29.95 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))),
% 47.46/29.95 inference(quant_intro,[status(thm)],[2408])).
% 47.46/29.95 tff(2410,plain,
% 47.46/29.95 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))),
% 47.46/29.95 inference(rewrite,[status(thm)],[])).
% 47.46/29.95 tff(2411,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 47.46/29.95 tff(2412,plain,
% 47.46/29.95 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))),
% 47.46/29.95 inference(modus_ponens,[status(thm)],[2411, 2410])).
% 47.46/29.95 tff(2413,plain,(
% 47.46/29.95 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))),
% 47.46/29.95 inference(skolemize,[status(sab)],[2412])).
% 47.46/29.95 tff(2414,plain,
% 47.46/29.95 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))),
% 47.46/29.95 inference(modus_ponens,[status(thm)],[2413, 2409])).
% 47.46/29.95 tff(2415,plain,
% 47.46/29.95 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))) | ((~v26(constB15)) | (~v121(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))) | (~v26(constB15)) | (~v121(constB15, bitIndex1)))),
% 47.46/29.95 inference(rewrite,[status(thm)],[])).
% 47.46/29.95 tff(2416,plain,
% 47.46/29.95 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))) | ((~v26(constB15)) | (~v121(constB15, bitIndex1)))),
% 47.46/29.95 inference(quant_inst,[status(thm)],[])).
% 47.46/29.95 tff(2417,plain,
% 47.46/29.95 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))) | (~v26(constB15)) | (~v121(constB15, bitIndex1))),
% 47.46/29.95 inference(modus_ponens,[status(thm)],[2416, 2415])).
% 47.46/29.95 tff(2418,plain,
% 47.46/29.95 ($false),
% 47.46/29.95 inference(unit_resolution,[status(thm)],[2417, 2414, 2392, 2407])).
% 47.46/29.95 tff(2419,plain,(~v121(constB15, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 47.46/29.95 tff(2420,plain,
% 47.46/29.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex1) | (~v123(constB16, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex1) | (~v123(constB16, bitIndex1)))),
% 47.46/29.95 inference(rewrite,[status(thm)],[])).
% 47.46/29.95 tff(2421,plain,
% 47.46/29.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex1) | (~v123(constB16, bitIndex1)))),
% 47.46/29.95 inference(quant_inst,[status(thm)],[])).
% 47.46/29.95 tff(2422,plain,
% 47.46/29.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex1) | (~v123(constB16, bitIndex1))),
% 47.46/29.95 inference(modus_ponens,[status(thm)],[2421, 2420])).
% 47.46/29.95 tff(2423,plain,
% 47.46/29.95 (v121(constB15, bitIndex1) | (~v123(constB16, bitIndex1))),
% 47.46/29.95 inference(unit_resolution,[status(thm)],[2422, 254, 2268])).
% 47.46/29.95 tff(2424,plain,
% 47.46/29.95 (~v123(constB16, bitIndex1)),
% 47.46/29.95 inference(unit_resolution,[status(thm)],[2423, 2419])).
% 47.46/29.95 tff(2425,plain,
% 47.46/29.95 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | v123(constB16, bitIndex1) | (~v94(constB16)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | v123(constB16, bitIndex1) | (~v94(constB16)))),
% 47.46/29.95 inference(rewrite,[status(thm)],[])).
% 47.46/29.95 tff(2426,plain,
% 47.46/29.95 (((~v84(constB16, bitIndex1)) | (~v94(constB16)) | v123(constB16, bitIndex1)) <=> ((~v84(constB16, bitIndex1)) | v123(constB16, bitIndex1) | (~v94(constB16)))),
% 47.46/29.95 inference(rewrite,[status(thm)],[])).
% 47.46/29.95 tff(2427,plain,
% 47.46/29.95 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | (~v94(constB16)) | v123(constB16, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | v123(constB16, bitIndex1) | (~v94(constB16))))),
% 47.46/29.95 inference(monotonicity,[status(thm)],[2426])).
% 47.46/29.95 tff(2428,plain,
% 47.46/29.95 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | (~v94(constB16)) | v123(constB16, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | v123(constB16, bitIndex1) | (~v94(constB16)))),
% 47.46/29.95 inference(transitivity,[status(thm)],[2427, 2425])).
% 47.46/29.95 tff(2429,plain,
% 47.46/29.95 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | (~v94(constB16)) | v123(constB16, bitIndex1))),
% 47.46/29.95 inference(quant_inst,[status(thm)],[])).
% 47.46/29.95 tff(2430,plain,
% 47.46/29.95 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | v123(constB16, bitIndex1) | (~v94(constB16))),
% 47.46/29.95 inference(modus_ponens,[status(thm)],[2429, 2428])).
% 47.46/29.95 tff(2431,plain,
% 47.46/29.95 ((~v84(constB16, bitIndex1)) | (~v94(constB16))),
% 47.46/29.95 inference(unit_resolution,[status(thm)],[2430, 532, 2424])).
% 47.46/29.95 tff(2432,plain,
% 47.46/29.95 (~v84(constB16, bitIndex1)),
% 47.46/29.95 inference(unit_resolution,[status(thm)],[2431, 2302])).
% 47.46/29.95 tff(2433,plain,
% 47.46/29.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex1)))),
% 47.46/29.95 inference(rewrite,[status(thm)],[])).
% 47.46/29.95 tff(2434,plain,
% 47.46/29.95 (((~nextState(constB16, constB17)) | v84(constB16, bitIndex1) | v94(constB17) | (~v84(constB17, bitIndex1))) <=> (v84(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex1)))),
% 47.46/29.95 inference(rewrite,[status(thm)],[])).
% 47.46/29.95 tff(2435,plain,
% 47.46/29.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex1) | v94(constB17) | (~v84(constB17, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex1))))),
% 47.46/29.95 inference(monotonicity,[status(thm)],[2434])).
% 47.46/29.95 tff(2436,plain,
% 47.46/29.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex1) | v94(constB17) | (~v84(constB17, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex1)))),
% 47.46/29.95 inference(transitivity,[status(thm)],[2435, 2433])).
% 47.46/29.95 tff(2437,plain,
% 47.46/29.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex1) | v94(constB17) | (~v84(constB17, bitIndex1)))),
% 47.46/29.95 inference(quant_inst,[status(thm)],[])).
% 47.46/29.95 tff(2438,plain,
% 47.46/29.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex1))),
% 47.46/29.95 inference(modus_ponens,[status(thm)],[2437, 2436])).
% 47.46/29.95 tff(2439,plain,
% 47.46/29.95 (v84(constB16, bitIndex1) | v94(constB17) | (~v84(constB17, bitIndex1))),
% 47.46/29.95 inference(unit_resolution,[status(thm)],[2438, 163, 2370])).
% 47.46/29.95 tff(2440,plain,
% 47.46/29.95 (v84(constB16, bitIndex1) | (~v84(constB17, bitIndex1))),
% 47.46/29.95 inference(unit_resolution,[status(thm)],[2439, 2382])).
% 47.46/29.95 tff(2441,plain,
% 47.46/29.95 (~v84(constB17, bitIndex1)),
% 47.46/29.95 inference(unit_resolution,[status(thm)],[2440, 2432])).
% 47.46/29.95 tff(2442,plain,
% 47.46/29.95 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB15) | v124(constB15, bitIndex0) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB15) | v124(constB15, bitIndex0) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15))),
% 47.46/29.95 inference(rewrite,[status(thm)],[])).
% 47.46/29.95 tff(2443,plain,
% 47.46/29.95 ((v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | v124(constB15, bitIndex0)) <=> (v145(constB15) | v124(constB15, bitIndex0) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15))),
% 47.46/29.95 inference(rewrite,[status(thm)],[])).
% 47.46/29.95 tff(2444,plain,
% 47.46/29.95 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | v124(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB15) | v124(constB15, bitIndex0) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15)))),
% 47.46/29.95 inference(monotonicity,[status(thm)],[2443])).
% 47.46/29.95 tff(2445,plain,
% 47.46/29.95 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | v124(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB15) | v124(constB15, bitIndex0) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15))),
% 47.46/29.95 inference(transitivity,[status(thm)],[2444, 2442])).
% 47.46/29.95 tff(2446,plain,
% 47.46/29.95 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | v124(constB15, bitIndex0))),
% 47.46/29.95 inference(quant_inst,[status(thm)],[])).
% 47.46/29.95 tff(2447,plain,
% 47.46/29.95 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB15) | v124(constB15, bitIndex0) | v172(constB15) | v115(constB15) | v113(constB15) | v118(constB15) | v116(constB15)),
% 47.46/29.96 inference(modus_ponens,[status(thm)],[2446, 2445])).
% 47.46/29.96 tff(2448,plain,
% 47.46/29.96 (v124(constB15, bitIndex0)),
% 47.46/29.96 inference(unit_resolution,[status(thm)],[2447, 1374, 2327, 2323, 2319, 2315, 2311, 2307])).
% 47.46/29.96 tff(2449,plain,
% 47.46/29.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB15) | (~v124(constB15, bitIndex0)) | v121(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB15) | (~v124(constB15, bitIndex0)) | v121(constB15, bitIndex0))),
% 47.46/29.96 inference(rewrite,[status(thm)],[])).
% 47.46/29.96 tff(2450,plain,
% 47.46/29.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB15) | (~v124(constB15, bitIndex0)) | v121(constB15, bitIndex0))),
% 47.46/29.96 inference(quant_inst,[status(thm)],[])).
% 47.46/29.96 tff(2451,plain,
% 47.46/29.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB15) | (~v124(constB15, bitIndex0)) | v121(constB15, bitIndex0)),
% 47.46/29.96 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 47.46/29.96 tff(2452,plain,
% 47.46/29.96 (v26(constB15) | v121(constB15, bitIndex0)),
% 47.46/29.96 inference(unit_resolution,[status(thm)],[2451, 1391, 2448])).
% 47.46/29.96 tff(2453,plain,
% 47.46/29.96 (v121(constB15, bitIndex0)),
% 47.46/29.96 inference(unit_resolution,[status(thm)],[2452, 66])).
% 47.46/29.96 tff(2454,plain,
% 47.46/29.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v121(constB15, bitIndex0)) | v123(constB16, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB15, constB16)) | (~v121(constB15, bitIndex0)) | v123(constB16, bitIndex0))),
% 47.46/29.96 inference(rewrite,[status(thm)],[])).
% 47.46/29.96 tff(2455,plain,
% 47.46/29.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v121(constB15, bitIndex0)) | v123(constB16, bitIndex0))),
% 47.46/29.96 inference(quant_inst,[status(thm)],[])).
% 47.46/29.96 tff(2456,plain,
% 47.46/29.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB15, constB16)) | (~v121(constB15, bitIndex0)) | v123(constB16, bitIndex0)),
% 47.46/29.96 inference(modus_ponens,[status(thm)],[2455, 2454])).
% 47.46/29.96 tff(2457,plain,
% 47.46/29.96 ((~v121(constB15, bitIndex0)) | v123(constB16, bitIndex0)),
% 47.46/29.96 inference(unit_resolution,[status(thm)],[2456, 1406, 2268])).
% 47.46/29.96 tff(2458,plain,
% 47.46/29.96 (v123(constB16, bitIndex0)),
% 47.46/29.96 inference(unit_resolution,[status(thm)],[2457, 2453])).
% 47.46/29.96 tff(2459,plain,
% 47.46/29.96 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~v123(constB16, bitIndex0)) | (~v94(constB16)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB16, bitIndex0) | (~v123(constB16, bitIndex0)) | (~v94(constB16)))),
% 47.46/29.96 inference(rewrite,[status(thm)],[])).
% 47.46/29.96 tff(2460,plain,
% 47.46/29.96 ((v84(constB16, bitIndex0) | (~v94(constB16)) | (~v123(constB16, bitIndex0))) <=> (v84(constB16, bitIndex0) | (~v123(constB16, bitIndex0)) | (~v94(constB16)))),
% 47.46/29.96 inference(rewrite,[status(thm)],[])).
% 47.46/29.96 tff(2461,plain,
% 47.46/29.96 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~v94(constB16)) | (~v123(constB16, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~v123(constB16, bitIndex0)) | (~v94(constB16))))),
% 47.46/29.96 inference(monotonicity,[status(thm)],[2460])).
% 47.46/29.96 tff(2462,plain,
% 47.46/29.96 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~v94(constB16)) | (~v123(constB16, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB16, bitIndex0) | (~v123(constB16, bitIndex0)) | (~v94(constB16)))),
% 47.46/29.96 inference(transitivity,[status(thm)],[2461, 2459])).
% 47.46/29.96 tff(2463,plain,
% 47.46/29.96 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~v94(constB16)) | (~v123(constB16, bitIndex0)))),
% 47.46/29.96 inference(quant_inst,[status(thm)],[])).
% 47.46/29.96 tff(2464,plain,
% 47.46/29.96 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB16, bitIndex0) | (~v123(constB16, bitIndex0)) | (~v94(constB16))),
% 47.46/29.96 inference(modus_ponens,[status(thm)],[2463, 2462])).
% 47.46/29.96 tff(2465,plain,
% 47.46/29.96 (v84(constB16, bitIndex0) | (~v94(constB16))),
% 47.46/29.96 inference(unit_resolution,[status(thm)],[2464, 1421, 2458])).
% 47.46/29.96 tff(2466,plain,
% 47.46/29.96 (v84(constB16, bitIndex0)),
% 47.46/29.96 inference(unit_resolution,[status(thm)],[2465, 2302])).
% 47.46/29.96 tff(2467,plain,
% 47.46/29.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex0))),
% 47.46/29.96 inference(rewrite,[status(thm)],[])).
% 47.46/29.96 tff(2468,plain,
% 47.46/29.96 (((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex0)) | v94(constB17) | v84(constB17, bitIndex0)) <=> ((~v84(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex0))),
% 47.46/29.96 inference(rewrite,[status(thm)],[])).
% 47.46/29.96 tff(2469,plain,
% 47.46/29.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex0)) | v94(constB17) | v84(constB17, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex0)))),
% 47.46/29.96 inference(monotonicity,[status(thm)],[2468])).
% 47.46/29.96 tff(2470,plain,
% 47.46/29.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex0)) | v94(constB17) | v84(constB17, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex0))),
% 47.46/29.96 inference(transitivity,[status(thm)],[2469, 2467])).
% 47.46/29.96 tff(2471,plain,
% 47.46/29.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex0)) | v94(constB17) | v84(constB17, bitIndex0))),
% 47.46/29.96 inference(quant_inst,[status(thm)],[])).
% 47.46/29.96 tff(2472,plain,
% 47.46/29.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex0)),
% 47.46/29.96 inference(modus_ponens,[status(thm)],[2471, 2470])).
% 47.46/29.96 tff(2473,plain,
% 47.46/29.96 ((~v84(constB16, bitIndex0)) | v94(constB17) | v84(constB17, bitIndex0)),
% 47.46/29.96 inference(unit_resolution,[status(thm)],[2472, 1439, 2370])).
% 47.46/29.96 tff(2474,plain,
% 47.46/29.96 ((~v84(constB16, bitIndex0)) | v84(constB17, bitIndex0)),
% 47.46/29.96 inference(unit_resolution,[status(thm)],[2473, 2382])).
% 47.46/29.96 tff(2475,plain,
% 47.46/29.96 (v84(constB17, bitIndex0)),
% 47.46/29.96 inference(unit_resolution,[status(thm)],[2474, 2466])).
% 47.46/29.96 tff(2476,plain,
% 47.46/29.96 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB17, bitIndex0)) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v145(constB17))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB17, bitIndex0)) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v145(constB17))),
% 47.46/29.96 inference(rewrite,[status(thm)],[])).
% 47.46/29.96 tff(2477,plain,
% 47.46/29.96 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB17, bitIndex0)) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v145(constB17))),
% 47.46/29.96 inference(quant_inst,[status(thm)],[])).
% 47.46/29.96 tff(2478,plain,
% 47.46/29.96 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB17, bitIndex0)) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v145(constB17)),
% 47.46/29.96 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 47.46/29.96 tff(2479,plain,
% 47.46/29.96 (v145(constB17)),
% 47.46/29.96 inference(unit_resolution,[status(thm)],[2478, 1268, 2475, 2441, 2391])).
% 47.46/29.96 tff(2480,plain,
% 47.46/29.96 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB17)) | v124(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB17)) | v124(constB17, bitIndex1))),
% 47.46/29.96 inference(rewrite,[status(thm)],[])).
% 47.46/29.96 tff(2481,plain,
% 47.46/29.96 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB17)) | v124(constB17, bitIndex1))),
% 47.46/29.96 inference(quant_inst,[status(thm)],[])).
% 47.46/29.96 tff(2482,plain,
% 47.46/29.96 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB17)) | v124(constB17, bitIndex1)),
% 47.46/29.96 inference(modus_ponens,[status(thm)],[2481, 2480])).
% 47.51/29.96 tff(2483,plain,
% 47.51/29.96 (v124(constB17, bitIndex1)),
% 47.51/29.96 inference(unit_resolution,[status(thm)],[2482, 1512, 2479])).
% 47.51/29.96 tff(2484,assumption,(v26(constB17)), introduced(assumption)).
% 47.51/29.96 tff(2485,plain,
% 47.51/29.96 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB17))),
% 47.51/29.96 inference(quant_inst,[status(thm)],[])).
% 47.51/29.96 tff(2486,plain,
% 47.51/29.96 ($false),
% 47.51/29.96 inference(unit_resolution,[status(thm)],[2485, 55, 2484])).
% 47.51/29.96 tff(2487,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 47.51/29.96 tff(2488,plain,
% 47.51/29.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1))),
% 47.51/29.96 inference(rewrite,[status(thm)],[])).
% 47.51/29.96 tff(2489,plain,
% 47.51/29.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1))),
% 47.51/29.96 inference(quant_inst,[status(thm)],[])).
% 47.51/29.96 tff(2490,plain,
% 47.51/29.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1)),
% 47.51/29.96 inference(modus_ponens,[status(thm)],[2489, 2488])).
% 47.51/29.96 tff(2491,plain,
% 47.51/29.96 ((~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1)),
% 47.51/29.96 inference(unit_resolution,[status(thm)],[2490, 857, 2487])).
% 47.51/29.96 tff(2492,plain,
% 47.51/29.96 (v121(constB17, bitIndex1)),
% 47.51/29.96 inference(unit_resolution,[status(thm)],[2491, 2483])).
% 47.51/29.96 tff(2493,plain,
% 47.51/29.96 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 47.51/29.96 inference(rewrite,[status(thm)],[])).
% 47.51/29.96 tff(2494,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 47.51/29.96 tff(2495,plain,
% 47.51/29.96 (nextState(constB17, constB18)),
% 47.51/29.96 inference(modus_ponens,[status(thm)],[2494, 2493])).
% 47.51/29.96 tff(2496,plain,
% 47.51/29.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1))),
% 47.51/29.96 inference(rewrite,[status(thm)],[])).
% 47.51/29.96 tff(2497,plain,
% 47.51/29.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1))),
% 47.51/29.96 inference(quant_inst,[status(thm)],[])).
% 47.51/29.96 tff(2498,plain,
% 47.51/29.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1)),
% 47.51/29.96 inference(modus_ponens,[status(thm)],[2497, 2496])).
% 47.51/29.96 tff(2499,plain,
% 47.51/29.96 ((~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1)),
% 47.51/29.96 inference(unit_resolution,[status(thm)],[2498, 872, 2495])).
% 47.51/29.96 tff(2500,plain,
% 47.51/29.96 (v123(constB18, bitIndex1)),
% 47.51/29.96 inference(unit_resolution,[status(thm)],[2499, 2492])).
% 47.51/29.96 tff(2501,assumption,(v84(constB18, bitIndex0)), introduced(assumption)).
% 47.51/29.96 tff(2502,assumption,(v145(constB17)), introduced(assumption)).
% 47.51/29.96 tff(2503,plain,
% 47.51/29.96 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB17)) | (~v124(constB17, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB17)) | (~v124(constB17, bitIndex0)))),
% 47.51/29.96 inference(rewrite,[status(thm)],[])).
% 47.51/29.96 tff(2504,plain,
% 47.51/29.96 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB17)) | (~v124(constB17, bitIndex0)))),
% 47.51/29.96 inference(quant_inst,[status(thm)],[])).
% 47.51/29.96 tff(2505,plain,
% 47.51/29.96 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB17)) | (~v124(constB17, bitIndex0))),
% 47.51/29.96 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 47.51/29.96 tff(2506,plain,
% 47.51/29.96 (~v124(constB17, bitIndex0)),
% 47.51/29.96 inference(unit_resolution,[status(thm)],[2505, 1550, 2502])).
% 47.51/29.96 tff(2507,plain,
% 47.51/29.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB17, bitIndex0)) | v26(constB17) | v124(constB17, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB17, bitIndex0)) | v26(constB17) | v124(constB17, bitIndex0))),
% 47.51/29.96 inference(rewrite,[status(thm)],[])).
% 47.51/29.96 tff(2508,plain,
% 47.51/29.96 ((v26(constB17) | v124(constB17, bitIndex0) | (~v121(constB17, bitIndex0))) <=> ((~v121(constB17, bitIndex0)) | v26(constB17) | v124(constB17, bitIndex0))),
% 47.51/29.96 inference(rewrite,[status(thm)],[])).
% 47.51/29.96 tff(2509,plain,
% 47.51/29.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB17) | v124(constB17, bitIndex0) | (~v121(constB17, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB17, bitIndex0)) | v26(constB17) | v124(constB17, bitIndex0)))),
% 47.51/29.96 inference(monotonicity,[status(thm)],[2508])).
% 47.51/29.96 tff(2510,plain,
% 47.51/29.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB17) | v124(constB17, bitIndex0) | (~v121(constB17, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB17, bitIndex0)) | v26(constB17) | v124(constB17, bitIndex0))),
% 47.51/29.96 inference(transitivity,[status(thm)],[2509, 2507])).
% 47.51/29.96 tff(2511,plain,
% 47.51/29.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB17) | v124(constB17, bitIndex0) | (~v121(constB17, bitIndex0)))),
% 47.51/29.97 inference(quant_inst,[status(thm)],[])).
% 47.51/29.97 tff(2512,plain,
% 47.51/29.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB17, bitIndex0)) | v26(constB17) | v124(constB17, bitIndex0)),
% 47.51/29.97 inference(modus_ponens,[status(thm)],[2511, 2510])).
% 47.51/29.97 tff(2513,plain,
% 47.51/29.97 ((~v121(constB17, bitIndex0)) | v124(constB17, bitIndex0)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2512, 607, 2487])).
% 47.51/29.97 tff(2514,plain,
% 47.51/29.97 (~v121(constB17, bitIndex0)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2513, 2506])).
% 47.51/29.97 tff(2515,plain,
% 47.51/29.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex0) | (~v123(constB18, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex0) | (~v123(constB18, bitIndex0)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2516,plain,
% 47.51/29.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex0) | (~v123(constB18, bitIndex0)))),
% 47.51/29.97 inference(quant_inst,[status(thm)],[])).
% 47.51/29.97 tff(2517,plain,
% 47.51/29.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex0) | (~v123(constB18, bitIndex0))),
% 47.51/29.97 inference(modus_ponens,[status(thm)],[2516, 2515])).
% 47.51/29.97 tff(2518,plain,
% 47.51/29.97 (v121(constB17, bitIndex0) | (~v123(constB18, bitIndex0))),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2517, 637, 2495])).
% 47.51/29.97 tff(2519,plain,
% 47.51/29.97 (~v123(constB18, bitIndex0)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2518, 2514])).
% 47.51/29.97 tff(2520,plain,
% 47.51/29.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | v123(constB18, bitIndex0) | (~v94(constB18)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | v123(constB18, bitIndex0) | (~v94(constB18)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2521,plain,
% 47.51/29.97 (((~v84(constB18, bitIndex0)) | (~v94(constB18)) | v123(constB18, bitIndex0)) <=> ((~v84(constB18, bitIndex0)) | v123(constB18, bitIndex0) | (~v94(constB18)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2522,plain,
% 47.51/29.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | (~v94(constB18)) | v123(constB18, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | v123(constB18, bitIndex0) | (~v94(constB18))))),
% 47.51/29.97 inference(monotonicity,[status(thm)],[2521])).
% 47.51/29.97 tff(2523,plain,
% 47.51/29.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | (~v94(constB18)) | v123(constB18, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | v123(constB18, bitIndex0) | (~v94(constB18)))),
% 47.51/29.97 inference(transitivity,[status(thm)],[2522, 2520])).
% 47.51/29.97 tff(2524,plain,
% 47.51/29.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | (~v94(constB18)) | v123(constB18, bitIndex0))),
% 47.51/29.97 inference(quant_inst,[status(thm)],[])).
% 47.51/29.97 tff(2525,plain,
% 47.51/29.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | v123(constB18, bitIndex0) | (~v94(constB18))),
% 47.51/29.97 inference(modus_ponens,[status(thm)],[2524, 2523])).
% 47.51/29.97 tff(2526,plain,
% 47.51/29.97 (v123(constB18, bitIndex0) | (~v94(constB18))),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2525, 652, 2501])).
% 47.51/29.97 tff(2527,plain,
% 47.51/29.97 (~v94(constB18)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2526, 2519])).
% 47.51/29.97 tff(2528,plain,
% 47.51/29.97 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2529,plain,
% 47.51/29.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18)))),
% 47.51/29.97 inference(quant_inst,[status(thm)],[])).
% 47.51/29.97 tff(2530,plain,
% 47.51/29.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18))),
% 47.51/29.97 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 47.51/29.97 tff(2531,plain,
% 47.51/29.97 (~v98(constB18)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2530, 423, 2495, 2367])).
% 47.51/29.97 tff(2532,plain,
% 47.51/29.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB17, constB18)) | v96(constB18) | v98(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB17, constB18)) | v96(constB18) | v98(constB18))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2533,plain,
% 47.51/29.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB17, constB18)) | v96(constB18) | v98(constB18))),
% 47.51/29.97 inference(quant_inst,[status(thm)],[])).
% 47.51/29.97 tff(2534,plain,
% 47.51/29.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB17, constB18)) | v96(constB18) | v98(constB18)),
% 47.51/29.97 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 47.51/29.97 tff(2535,plain,
% 47.51/29.97 (v96(constB18) | v98(constB18)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2534, 437, 2495])).
% 47.51/29.97 tff(2536,plain,
% 47.51/29.97 (v96(constB18)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2535, 2531])).
% 47.51/29.97 tff(2537,plain,
% 47.51/29.97 (v1(constB18) <=> v1(constB18)),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2538,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 47.51/29.97 tff(2539,plain,
% 47.51/29.97 (v1(constB18)),
% 47.51/29.97 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 47.51/29.97 tff(2540,plain,
% 47.51/29.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2541,plain,
% 47.51/29.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18)))),
% 47.51/29.97 inference(quant_inst,[status(thm)],[])).
% 47.51/29.97 tff(2542,plain,
% 47.51/29.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18))),
% 47.51/29.97 inference(modus_ponens,[status(thm)],[2541, 2540])).
% 47.51/29.97 tff(2543,plain,
% 47.51/29.97 (v95(constB18) | (~v96(constB18))),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2542, 455, 2495, 2539])).
% 47.51/29.97 tff(2544,plain,
% 47.51/29.97 (v95(constB18)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2543, 2536])).
% 47.51/29.97 tff(2545,plain,
% 47.51/29.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2546,plain,
% 47.51/29.97 (((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18)) <=> ((~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2547,plain,
% 47.51/29.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18))))),
% 47.51/29.97 inference(monotonicity,[status(thm)],[2546])).
% 47.51/29.97 tff(2548,plain,
% 47.51/29.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))),
% 47.51/29.97 inference(transitivity,[status(thm)],[2547, 2545])).
% 47.51/29.97 tff(2549,plain,
% 47.51/29.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18))),
% 47.51/29.97 inference(quant_inst,[status(thm)],[])).
% 47.51/29.97 tff(2550,plain,
% 47.51/29.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18))),
% 47.51/29.97 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 47.51/29.97 tff(2551,plain,
% 47.51/29.97 (v94(constB18) | (~v95(constB18)) | (~v104(constB18))),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2550, 470, 2495])).
% 47.51/29.97 tff(2552,plain,
% 47.51/29.97 (v94(constB18) | (~v104(constB18))),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2551, 2544])).
% 47.51/29.97 tff(2553,plain,
% 47.51/29.97 (~v104(constB18)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2552, 2527])).
% 47.51/29.97 tff(2554,plain,
% 47.51/29.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2555,plain,
% 47.51/29.97 (((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18)) <=> ((~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2556,plain,
% 47.51/29.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17))))),
% 47.51/29.97 inference(monotonicity,[status(thm)],[2555])).
% 47.51/29.97 tff(2557,plain,
% 47.51/29.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))),
% 47.51/29.97 inference(transitivity,[status(thm)],[2556, 2554])).
% 47.51/29.97 tff(2558,plain,
% 47.51/29.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18))),
% 47.51/29.97 inference(quant_inst,[status(thm)],[])).
% 47.51/29.97 tff(2559,plain,
% 47.51/29.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17))),
% 47.51/29.97 inference(modus_ponens,[status(thm)],[2558, 2557])).
% 47.51/29.97 tff(2560,plain,
% 47.51/29.97 (v104(constB18) | (~v102(constB17))),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2559, 489, 2495])).
% 47.51/29.97 tff(2561,plain,
% 47.51/29.97 (~v102(constB17)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2560, 2553])).
% 47.51/29.97 tff(2562,plain,
% 47.51/29.97 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB17) | (~v106(constB17)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB17) | (~v106(constB17)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2563,plain,
% 47.51/29.97 (((~v106(constB17)) | v102(constB17)) <=> (v102(constB17) | (~v106(constB17)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2564,plain,
% 47.51/29.97 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB17)) | v102(constB17))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB17) | (~v106(constB17))))),
% 47.51/29.97 inference(monotonicity,[status(thm)],[2563])).
% 47.51/29.97 tff(2565,plain,
% 47.51/29.97 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB17)) | v102(constB17))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB17) | (~v106(constB17)))),
% 47.51/29.97 inference(transitivity,[status(thm)],[2564, 2562])).
% 47.51/29.97 tff(2566,plain,
% 47.51/29.97 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB17)) | v102(constB17))),
% 47.51/29.97 inference(quant_inst,[status(thm)],[])).
% 47.51/29.97 tff(2567,plain,
% 47.51/29.97 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB17) | (~v106(constB17))),
% 47.51/29.97 inference(modus_ponens,[status(thm)],[2566, 2565])).
% 47.51/29.97 tff(2568,plain,
% 47.51/29.97 (~v106(constB17)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2567, 504, 2561])).
% 47.51/29.97 tff(2569,plain,
% 47.51/29.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | (~v107(constB17)) | v106(constB17))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB17) | (~v107(constB17)) | v106(constB17))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2570,plain,
% 47.51/29.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | (~v107(constB17)) | v106(constB17))),
% 47.51/29.97 inference(quant_inst,[status(thm)],[])).
% 47.51/29.97 tff(2571,plain,
% 47.51/29.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB17) | (~v107(constB17)) | v106(constB17)),
% 47.51/29.97 inference(modus_ponens,[status(thm)],[2570, 2569])).
% 47.51/29.97 tff(2572,plain,
% 47.51/29.97 ((~v107(constB17)) | v106(constB17)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2571, 348, 2487])).
% 47.51/29.97 tff(2573,plain,
% 47.51/29.97 (~v107(constB17)),
% 47.51/29.97 inference(unit_resolution,[status(thm)],[2572, 2568])).
% 47.51/29.97 tff(2574,plain,
% 47.51/29.97 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB17) | (~v108(constB17)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB17) | (~v108(constB17)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2575,plain,
% 47.51/29.97 (((~v108(constB17)) | v107(constB17)) <=> (v107(constB17) | (~v108(constB17)))),
% 47.51/29.97 inference(rewrite,[status(thm)],[])).
% 47.51/29.97 tff(2576,plain,
% 47.51/29.97 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB17)) | v107(constB17))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB17) | (~v108(constB17))))),
% 47.51/29.97 inference(monotonicity,[status(thm)],[2575])).
% 47.51/29.98 tff(2577,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB17)) | v107(constB17))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB17) | (~v108(constB17)))),
% 47.51/29.98 inference(transitivity,[status(thm)],[2576, 2574])).
% 47.51/29.98 tff(2578,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB17)) | v107(constB17))),
% 47.51/29.98 inference(quant_inst,[status(thm)],[])).
% 47.51/29.98 tff(2579,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB17) | (~v108(constB17))),
% 47.51/29.98 inference(modus_ponens,[status(thm)],[2578, 2577])).
% 47.51/29.98 tff(2580,plain,
% 47.51/29.98 (~v108(constB17)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2579, 334, 2573])).
% 47.51/29.98 tff(2581,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB17) | (~v145(constB17)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB17) | (~v145(constB17)))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2582,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB17) | (~v145(constB17)))),
% 47.51/29.98 inference(quant_inst,[status(thm)],[])).
% 47.51/29.98 tff(2583,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB17) | (~v145(constB17))),
% 47.51/29.98 inference(modus_ponens,[status(thm)],[2582, 2581])).
% 47.51/29.98 tff(2584,plain,
% 47.51/29.98 (v112(constB17)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2583, 1253, 2502])).
% 47.51/29.98 tff(2585,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB17) | (~v112(constB17)))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2586,plain,
% 47.51/29.98 (((~v112(constB17)) | v111(constB17)) <=> (v111(constB17) | (~v112(constB17)))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2587,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB17)) | v111(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB17) | (~v112(constB17))))),
% 47.51/29.98 inference(monotonicity,[status(thm)],[2586])).
% 47.51/29.98 tff(2588,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB17)) | v111(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB17) | (~v112(constB17)))),
% 47.51/29.98 inference(transitivity,[status(thm)],[2587, 2585])).
% 47.51/29.98 tff(2589,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB17)) | v111(constB17))),
% 47.51/29.98 inference(quant_inst,[status(thm)],[])).
% 47.51/29.98 tff(2590,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB17) | (~v112(constB17))),
% 47.51/29.98 inference(modus_ponens,[status(thm)],[2589, 2588])).
% 47.51/29.98 tff(2591,plain,
% 47.51/29.98 (v111(constB17)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2590, 278, 2584])).
% 47.51/29.98 tff(2592,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB17) | (~v111(constB17)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB17) | (~v111(constB17)))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2593,plain,
% 47.51/29.98 (((~v111(constB17)) | v110(constB17)) <=> (v110(constB17) | (~v111(constB17)))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2594,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB17)) | v110(constB17))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB17) | (~v111(constB17))))),
% 47.51/29.98 inference(monotonicity,[status(thm)],[2593])).
% 47.51/29.98 tff(2595,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB17)) | v110(constB17))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB17) | (~v111(constB17)))),
% 47.51/29.98 inference(transitivity,[status(thm)],[2594, 2592])).
% 47.51/29.98 tff(2596,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB17)) | v110(constB17))),
% 47.51/29.98 inference(quant_inst,[status(thm)],[])).
% 47.51/29.98 tff(2597,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB17) | (~v111(constB17))),
% 47.51/29.98 inference(modus_ponens,[status(thm)],[2596, 2595])).
% 47.51/29.98 tff(2598,plain,
% 47.51/29.98 (v110(constB17)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2597, 292, 2591])).
% 47.51/29.98 tff(2599,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB17) | (~v110(constB17)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB17) | (~v110(constB17)))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2600,plain,
% 47.51/29.98 (((~v110(constB17)) | v109(constB17)) <=> (v109(constB17) | (~v110(constB17)))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2601,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB17)) | v109(constB17))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB17) | (~v110(constB17))))),
% 47.51/29.98 inference(monotonicity,[status(thm)],[2600])).
% 47.51/29.98 tff(2602,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB17)) | v109(constB17))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB17) | (~v110(constB17)))),
% 47.51/29.98 inference(transitivity,[status(thm)],[2601, 2599])).
% 47.51/29.98 tff(2603,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB17)) | v109(constB17))),
% 47.51/29.98 inference(quant_inst,[status(thm)],[])).
% 47.51/29.98 tff(2604,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB17) | (~v110(constB17))),
% 47.51/29.98 inference(modus_ponens,[status(thm)],[2603, 2602])).
% 47.51/29.98 tff(2605,plain,
% 47.51/29.98 (v109(constB17)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2604, 306, 2598])).
% 47.51/29.98 tff(2606,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB17)) | v108(constB17))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2607,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB17)) | v108(constB17))),
% 47.51/29.98 inference(quant_inst,[status(thm)],[])).
% 47.51/29.98 tff(2608,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB17)) | v108(constB17)),
% 47.51/29.98 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 47.51/29.98 tff(2609,plain,
% 47.51/29.98 ($false),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2608, 320, 2605, 2580])).
% 47.51/29.98 tff(2610,plain,((~v145(constB17)) | (~v84(constB18, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 47.51/29.98 tff(2611,plain,
% 47.51/29.98 (~v145(constB17)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2610, 2501])).
% 47.51/29.98 tff(2612,assumption,(~v84(constB17, bitIndex2)), introduced(assumption)).
% 47.51/29.98 tff(2613,assumption,(~v84(constB17, bitIndex1)), introduced(assumption)).
% 47.51/29.98 tff(2614,plain,
% 47.51/29.98 ((~v84(constB17, bitIndex0)) | v145(constB17)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2478, 1268, 2613, 2612])).
% 47.51/29.98 tff(2615,plain,
% 47.51/29.98 (~v84(constB17, bitIndex0)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2614, 2611])).
% 47.51/29.98 tff(2616,plain,
% 47.51/29.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex0)))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2617,plain,
% 47.51/29.98 (((~nextState(constB17, constB18)) | v84(constB17, bitIndex0) | v94(constB18) | (~v84(constB18, bitIndex0))) <=> (v84(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex0)))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2618,plain,
% 47.51/29.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v84(constB17, bitIndex0) | v94(constB18) | (~v84(constB18, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex0))))),
% 47.51/29.98 inference(monotonicity,[status(thm)],[2617])).
% 47.51/29.98 tff(2619,plain,
% 47.51/29.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v84(constB17, bitIndex0) | v94(constB18) | (~v84(constB18, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex0)))),
% 47.51/29.98 inference(transitivity,[status(thm)],[2618, 2616])).
% 47.51/29.98 tff(2620,plain,
% 47.51/29.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v84(constB17, bitIndex0) | v94(constB18) | (~v84(constB18, bitIndex0)))),
% 47.51/29.98 inference(quant_inst,[status(thm)],[])).
% 47.51/29.98 tff(2621,plain,
% 47.51/29.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex0))),
% 47.51/29.98 inference(modus_ponens,[status(thm)],[2620, 2619])).
% 47.51/29.98 tff(2622,plain,
% 47.51/29.98 (v84(constB17, bitIndex0) | v94(constB18) | (~v84(constB18, bitIndex0))),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2621, 184, 2495])).
% 47.51/29.98 tff(2623,plain,
% 47.51/29.98 (v94(constB18)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2622, 2615, 2501])).
% 47.51/29.98 tff(2624,plain,
% 47.51/29.98 (v123(constB18, bitIndex0)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2526, 2623])).
% 47.51/29.98 tff(2625,plain,
% 47.51/29.98 (v121(constB17, bitIndex0)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2518, 2624])).
% 47.51/29.98 tff(2626,plain,
% 47.51/29.98 (v124(constB17, bitIndex0)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2513, 2625])).
% 47.51/29.98 tff(2627,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB17, bitIndex0) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v113(constB17))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB17, bitIndex0) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v113(constB17))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2628,plain,
% 47.51/29.98 ((v84(constB17, bitIndex0) | v113(constB17) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2)) <=> (v84(constB17, bitIndex0) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v113(constB17))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2629,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB17, bitIndex0) | v113(constB17) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB17, bitIndex0) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v113(constB17)))),
% 47.51/29.98 inference(monotonicity,[status(thm)],[2628])).
% 47.51/29.98 tff(2630,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB17, bitIndex0) | v113(constB17) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB17, bitIndex0) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v113(constB17))),
% 47.51/29.98 inference(transitivity,[status(thm)],[2629, 2627])).
% 47.51/29.98 tff(2631,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB17, bitIndex0) | v113(constB17) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2))),
% 47.51/29.98 inference(quant_inst,[status(thm)],[])).
% 47.51/29.98 tff(2632,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB17, bitIndex0) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v113(constB17)),
% 47.51/29.98 inference(modus_ponens,[status(thm)],[2631, 2630])).
% 47.51/29.98 tff(2633,plain,
% 47.51/29.98 (v84(constB17, bitIndex0) | v113(constB17)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2632, 205, 2613, 2612])).
% 47.51/29.98 tff(2634,plain,
% 47.51/29.98 (v113(constB17)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2633, 2615])).
% 47.51/29.98 tff(2635,plain,
% 47.51/29.98 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v113(constB17)) | (~v124(constB17, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v113(constB17)) | (~v124(constB17, bitIndex0)))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2636,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v113(constB17)) | (~v124(constB17, bitIndex0)))),
% 47.51/29.98 inference(quant_inst,[status(thm)],[])).
% 47.51/29.98 tff(2637,plain,
% 47.51/29.98 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v113(constB17)) | (~v124(constB17, bitIndex0))),
% 47.51/29.98 inference(modus_ponens,[status(thm)],[2636, 2635])).
% 47.51/29.98 tff(2638,plain,
% 47.51/29.98 ($false),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2637, 593, 2634, 2626])).
% 47.51/29.98 tff(2639,plain,((~v84(constB18, bitIndex0)) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 47.51/29.98 tff(2640,plain,
% 47.51/29.98 (~v84(constB18, bitIndex0)),
% 47.51/29.98 inference(unit_resolution,[status(thm)],[2639, 2441, 2391])).
% 47.51/29.98 tff(2641,plain,
% 47.51/29.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex0))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2642,plain,
% 47.51/29.98 (((~nextState(constB17, constB18)) | (~v84(constB17, bitIndex0)) | v94(constB18) | v84(constB18, bitIndex0)) <=> ((~v84(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex0))),
% 47.51/29.98 inference(rewrite,[status(thm)],[])).
% 47.51/29.98 tff(2643,plain,
% 47.51/29.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v84(constB17, bitIndex0)) | v94(constB18) | v84(constB18, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex0)))),
% 47.51/29.98 inference(monotonicity,[status(thm)],[2642])).
% 47.51/29.98 tff(2644,plain,
% 47.51/29.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v84(constB17, bitIndex0)) | v94(constB18) | v84(constB18, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex0))),
% 47.51/29.98 inference(transitivity,[status(thm)],[2643, 2641])).
% 47.51/29.98 tff(2645,plain,
% 47.51/29.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v84(constB17, bitIndex0)) | v94(constB18) | v84(constB18, bitIndex0))),
% 47.51/29.99 inference(quant_inst,[status(thm)],[])).
% 47.51/29.99 tff(2646,plain,
% 47.51/29.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex0)),
% 47.51/29.99 inference(modus_ponens,[status(thm)],[2645, 2644])).
% 47.51/29.99 tff(2647,plain,
% 47.51/29.99 ((~v84(constB17, bitIndex0)) | v94(constB18) | v84(constB18, bitIndex0)),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2646, 1439, 2495])).
% 47.51/29.99 tff(2648,plain,
% 47.51/29.99 (v94(constB18)),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2647, 2475, 2640])).
% 47.51/29.99 tff(2649,plain,
% 47.51/29.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2650,plain,
% 47.51/29.99 ((v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1))) <=> (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2651,plain,
% 47.51/29.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18))))),
% 47.51/29.99 inference(monotonicity,[status(thm)],[2650])).
% 47.51/29.99 tff(2652,plain,
% 47.51/29.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))),
% 47.51/29.99 inference(transitivity,[status(thm)],[2651, 2649])).
% 47.51/29.99 tff(2653,plain,
% 47.51/29.99 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1)))),
% 47.51/29.99 inference(quant_inst,[status(thm)],[])).
% 47.51/29.99 tff(2654,plain,
% 47.51/29.99 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18))),
% 47.51/29.99 inference(modus_ponens,[status(thm)],[2653, 2652])).
% 47.51/29.99 tff(2655,plain,
% 47.51/29.99 (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1))),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2654, 887, 2648])).
% 47.51/29.99 tff(2656,plain,
% 47.51/29.99 (v84(constB18, bitIndex1)),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2655, 2500])).
% 47.51/29.99 tff(2657,plain,
% 47.51/29.99 ((~v1(constB19)) <=> (~v1(constB19))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2658,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 47.51/29.99 tff(2659,plain,
% 47.51/29.99 (~v1(constB19)),
% 47.51/29.99 inference(modus_ponens,[status(thm)],[2658, 2657])).
% 47.51/29.99 tff(2660,plain,
% 47.51/29.99 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2661,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 47.51/29.99 tff(2662,plain,
% 47.51/29.99 (nextState(constB18, constB19)),
% 47.51/29.99 inference(modus_ponens,[status(thm)],[2661, 2660])).
% 47.51/29.99 tff(2663,plain,
% 47.51/29.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2664,plain,
% 47.51/29.99 (((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2665,plain,
% 47.51/29.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19))))),
% 47.51/29.99 inference(monotonicity,[status(thm)],[2664])).
% 47.51/29.99 tff(2666,plain,
% 47.51/29.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))),
% 47.51/29.99 inference(transitivity,[status(thm)],[2665, 2663])).
% 47.51/29.99 tff(2667,plain,
% 47.51/29.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19))),
% 47.51/29.99 inference(quant_inst,[status(thm)],[])).
% 47.51/29.99 tff(2668,plain,
% 47.51/29.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19))),
% 47.51/29.99 inference(modus_ponens,[status(thm)],[2667, 2666])).
% 47.51/29.99 tff(2669,plain,
% 47.51/29.99 (~v95(constB19)),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2668, 110, 2662, 2659])).
% 47.51/29.99 tff(2670,plain,
% 47.51/29.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19)))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2671,plain,
% 47.51/29.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19)))),
% 47.51/29.99 inference(quant_inst,[status(thm)],[])).
% 47.51/29.99 tff(2672,plain,
% 47.51/29.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19))),
% 47.51/29.99 inference(modus_ponens,[status(thm)],[2671, 2670])).
% 47.51/29.99 tff(2673,plain,
% 47.51/29.99 (v95(constB19) | (~v94(constB19))),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2672, 127, 2662])).
% 47.51/29.99 tff(2674,plain,
% 47.51/29.99 (~v94(constB19)),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2673, 2669])).
% 47.51/29.99 tff(2675,plain,
% 47.51/29.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2676,plain,
% 47.51/29.99 (((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1)) <=> ((~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2677,plain,
% 47.51/29.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1)))),
% 47.51/29.99 inference(monotonicity,[status(thm)],[2676])).
% 47.51/29.99 tff(2678,plain,
% 47.51/29.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))),
% 47.51/29.99 inference(transitivity,[status(thm)],[2677, 2675])).
% 47.51/29.99 tff(2679,plain,
% 47.51/29.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1))),
% 47.51/29.99 inference(quant_inst,[status(thm)],[])).
% 47.51/29.99 tff(2680,plain,
% 47.51/29.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1)),
% 47.51/29.99 inference(modus_ponens,[status(thm)],[2679, 2678])).
% 47.51/29.99 tff(2681,plain,
% 47.51/29.99 ((~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1)),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2680, 905, 2662])).
% 47.51/29.99 tff(2682,plain,
% 47.51/29.99 ((~v84(constB18, bitIndex1)) | v84(constB19, bitIndex1)),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2681, 2674])).
% 47.51/29.99 tff(2683,plain,
% 47.51/29.99 (v84(constB19, bitIndex1)),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2682, 2656])).
% 47.51/29.99 tff(2684,plain,
% 47.51/29.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex0)))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2685,plain,
% 47.51/29.99 (((~nextState(constB18, constB19)) | v84(constB18, bitIndex0) | v94(constB19) | (~v84(constB19, bitIndex0))) <=> (v84(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex0)))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2686,plain,
% 47.51/29.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex0) | v94(constB19) | (~v84(constB19, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex0))))),
% 47.51/29.99 inference(monotonicity,[status(thm)],[2685])).
% 47.51/29.99 tff(2687,plain,
% 47.51/29.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex0) | v94(constB19) | (~v84(constB19, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex0)))),
% 47.51/29.99 inference(transitivity,[status(thm)],[2686, 2684])).
% 47.51/29.99 tff(2688,plain,
% 47.51/29.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex0) | v94(constB19) | (~v84(constB19, bitIndex0)))),
% 47.51/29.99 inference(quant_inst,[status(thm)],[])).
% 47.51/29.99 tff(2689,plain,
% 47.51/29.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex0))),
% 47.51/29.99 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 47.51/29.99 tff(2690,plain,
% 47.51/29.99 (v84(constB18, bitIndex0) | v94(constB19) | (~v84(constB19, bitIndex0))),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2689, 184, 2662])).
% 47.51/29.99 tff(2691,plain,
% 47.51/29.99 (v84(constB18, bitIndex0) | (~v84(constB19, bitIndex0))),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2690, 2674])).
% 47.51/29.99 tff(2692,plain,
% 47.51/29.99 (~v84(constB19, bitIndex0)),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2691, 2640])).
% 47.51/29.99 tff(2693,plain,
% 47.51/29.99 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ((~v116(VarCurr)) | v84(VarCurr, bitIndex0)))),
% 47.51/29.99 inference(bind,[status(th)],[])).
% 47.51/29.99 tff(2694,plain,
% 47.51/29.99 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))),
% 47.51/29.99 inference(quant_intro,[status(thm)],[2693])).
% 47.51/29.99 tff(2695,plain,
% 47.51/29.99 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2696,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 47.51/29.99 tff(2697,plain,
% 47.51/29.99 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))),
% 47.51/29.99 inference(modus_ponens,[status(thm)],[2696, 2695])).
% 47.51/29.99 tff(2698,plain,(
% 47.51/29.99 ![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))),
% 47.51/29.99 inference(skolemize,[status(sab)],[2697])).
% 47.51/29.99 tff(2699,plain,
% 47.51/29.99 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))),
% 47.51/29.99 inference(modus_ponens,[status(thm)],[2698, 2694])).
% 47.51/29.99 tff(2700,plain,
% 47.51/29.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB19)) | v84(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB19)) | v84(constB19, bitIndex0))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2701,plain,
% 47.51/29.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB19)) | v84(constB19, bitIndex0))),
% 47.51/29.99 inference(quant_inst,[status(thm)],[])).
% 47.51/29.99 tff(2702,plain,
% 47.51/29.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB19)) | v84(constB19, bitIndex0)),
% 47.51/29.99 inference(modus_ponens,[status(thm)],[2701, 2700])).
% 47.51/29.99 tff(2703,plain,
% 47.51/29.99 (~v116(constB19)),
% 47.51/29.99 inference(unit_resolution,[status(thm)],[2702, 2699, 2692])).
% 47.51/29.99 tff(2704,plain,
% 47.51/29.99 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB17)) | (~v124(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB17)) | (~v124(constB17, bitIndex2)))),
% 47.51/29.99 inference(rewrite,[status(thm)],[])).
% 47.51/29.99 tff(2705,plain,
% 47.51/29.99 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB17)) | (~v124(constB17, bitIndex2)))),
% 47.51/29.99 inference(quant_inst,[status(thm)],[])).
% 47.51/29.99 tff(2706,plain,
% 47.51/29.99 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB17)) | (~v124(constB17, bitIndex2))),
% 47.51/29.99 inference(modus_ponens,[status(thm)],[2705, 2704])).
% 47.51/30.00 tff(2707,plain,
% 47.51/30.00 (~v124(constB17, bitIndex2)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2706, 1456, 2479])).
% 47.51/30.00 tff(2708,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2709,plain,
% 47.51/30.00 ((v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2))) <=> ((~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2710,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2)))),
% 47.51/30.00 inference(monotonicity,[status(thm)],[2709])).
% 47.51/30.00 tff(2711,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))),
% 47.51/30.00 inference(transitivity,[status(thm)],[2710, 2708])).
% 47.51/30.00 tff(2712,plain,
% 47.51/30.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2)))),
% 47.51/30.00 inference(quant_inst,[status(thm)],[])).
% 47.51/30.00 tff(2713,plain,
% 47.51/30.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2)),
% 47.51/30.00 inference(modus_ponens,[status(thm)],[2712, 2711])).
% 47.51/30.00 tff(2714,plain,
% 47.51/30.00 ((~v121(constB17, bitIndex2)) | v124(constB17, bitIndex2)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2713, 1187, 2487])).
% 47.51/30.00 tff(2715,plain,
% 47.51/30.00 (~v121(constB17, bitIndex2)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2714, 2707])).
% 47.51/30.00 tff(2716,plain,
% 47.51/30.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2)))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2717,plain,
% 47.51/30.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2)))),
% 47.51/30.00 inference(quant_inst,[status(thm)],[])).
% 47.51/30.00 tff(2718,plain,
% 47.51/30.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2))),
% 47.51/30.00 inference(modus_ponens,[status(thm)],[2717, 2716])).
% 47.51/30.00 tff(2719,plain,
% 47.51/30.00 (v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2))),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2718, 1205, 2495])).
% 47.51/30.00 tff(2720,plain,
% 47.51/30.00 (~v123(constB18, bitIndex2)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2719, 2715])).
% 47.51/30.00 tff(2721,plain,
% 47.51/30.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2722,plain,
% 47.51/30.00 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))),
% 47.51/30.00 inference(quant_inst,[status(thm)],[])).
% 47.51/30.00 tff(2723,plain,
% 47.51/30.00 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18))),
% 47.51/30.00 inference(modus_ponens,[status(thm)],[2722, 2721])).
% 47.51/30.00 tff(2724,plain,
% 47.51/30.00 ((~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2723, 1220, 2648])).
% 47.51/30.00 tff(2725,plain,
% 47.51/30.00 (~v84(constB18, bitIndex2)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2724, 2720])).
% 47.51/30.00 tff(2726,plain,
% 47.51/30.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2727,plain,
% 47.51/30.00 (((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2))) <=> (v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2728,plain,
% 47.51/30.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2))))),
% 47.51/30.00 inference(monotonicity,[status(thm)],[2727])).
% 47.51/30.00 tff(2729,plain,
% 47.51/30.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 47.51/30.00 inference(transitivity,[status(thm)],[2728, 2726])).
% 47.51/30.00 tff(2730,plain,
% 47.51/30.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 47.51/30.00 inference(quant_inst,[status(thm)],[])).
% 47.51/30.00 tff(2731,plain,
% 47.51/30.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2))),
% 47.51/30.00 inference(modus_ponens,[status(thm)],[2730, 2729])).
% 47.51/30.00 tff(2732,plain,
% 47.51/30.00 (v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2))),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2731, 142, 2662])).
% 47.51/30.00 tff(2733,plain,
% 47.51/30.00 (v84(constB18, bitIndex2) | (~v84(constB19, bitIndex2))),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2732, 2674])).
% 47.51/30.00 tff(2734,plain,
% 47.51/30.00 (~v84(constB19, bitIndex2)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2733, 2725])).
% 47.51/30.00 tff(2735,assumption,(~v115(constB19)), introduced(assumption)).
% 47.51/30.00 tff(2736,assumption,(~v84(constB19, bitIndex2)), introduced(assumption)).
% 47.51/30.00 tff(2737,assumption,(~v116(constB19)), introduced(assumption)).
% 47.51/30.00 tff(2738,assumption,(v84(constB19, bitIndex1)), introduced(assumption)).
% 47.51/30.00 tff(2739,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v116(constB19))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2740,plain,
% 47.51/30.00 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v116(constB19))),
% 47.51/30.00 inference(quant_inst,[status(thm)],[])).
% 47.51/30.00 tff(2741,plain,
% 47.51/30.00 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v116(constB19)),
% 47.51/30.00 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 47.51/30.00 tff(2742,plain,
% 47.51/30.00 ((~v84(constB19, bitIndex0)) | v84(constB19, bitIndex2) | v116(constB19)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2741, 1825, 2738])).
% 47.51/30.00 tff(2743,plain,
% 47.51/30.00 (~v84(constB19, bitIndex0)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2742, 2736, 2737])).
% 47.51/30.00 tff(2744,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB19, bitIndex0) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v115(constB19))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB19, bitIndex0) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v115(constB19))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2745,plain,
% 47.51/30.00 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB19, bitIndex0) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v115(constB19))),
% 47.51/30.00 inference(quant_inst,[status(thm)],[])).
% 47.51/30.00 tff(2746,plain,
% 47.51/30.00 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB19, bitIndex0) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v115(constB19)),
% 47.51/30.00 inference(modus_ponens,[status(thm)],[2745, 2744])).
% 47.51/30.00 tff(2747,plain,
% 47.51/30.00 (v84(constB19, bitIndex0) | v84(constB19, bitIndex2) | v115(constB19)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2746, 1594, 2738])).
% 47.51/30.00 tff(2748,plain,
% 47.51/30.00 ($false),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2747, 2743, 2736, 2735])).
% 47.51/30.00 tff(2749,plain,(v84(constB19, bitIndex2) | v115(constB19) | (~v84(constB19, bitIndex1)) | v116(constB19)), inference(lemma,lemma(discharge,[]))).
% 47.51/30.00 tff(2750,plain,
% 47.51/30.00 (v115(constB19)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2749, 2734, 2703, 2683])).
% 47.51/30.00 tff(2751,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB19) | (~v115(constB19)))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2752,plain,
% 47.51/30.00 (((~v115(constB19)) | v111(constB19)) <=> (v111(constB19) | (~v115(constB19)))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2753,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB19)) | v111(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB19) | (~v115(constB19))))),
% 47.51/30.00 inference(monotonicity,[status(thm)],[2752])).
% 47.51/30.00 tff(2754,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB19)) | v111(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB19) | (~v115(constB19)))),
% 47.51/30.00 inference(transitivity,[status(thm)],[2753, 2751])).
% 47.51/30.00 tff(2755,plain,
% 47.51/30.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB19)) | v111(constB19))),
% 47.51/30.00 inference(quant_inst,[status(thm)],[])).
% 47.51/30.00 tff(2756,plain,
% 47.51/30.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB19) | (~v115(constB19))),
% 47.51/30.00 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 47.51/30.00 tff(2757,plain,
% 47.51/30.00 (v111(constB19)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2756, 1605, 2750])).
% 47.51/30.00 tff(2758,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB19) | (~v111(constB19)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB19) | (~v111(constB19)))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2759,plain,
% 47.51/30.00 (((~v111(constB19)) | v110(constB19)) <=> (v110(constB19) | (~v111(constB19)))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2760,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB19)) | v110(constB19))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB19) | (~v111(constB19))))),
% 47.51/30.00 inference(monotonicity,[status(thm)],[2759])).
% 47.51/30.00 tff(2761,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB19)) | v110(constB19))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB19) | (~v111(constB19)))),
% 47.51/30.00 inference(transitivity,[status(thm)],[2760, 2758])).
% 47.51/30.00 tff(2762,plain,
% 47.51/30.00 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB19)) | v110(constB19))),
% 47.51/30.00 inference(quant_inst,[status(thm)],[])).
% 47.51/30.00 tff(2763,plain,
% 47.51/30.00 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB19) | (~v111(constB19))),
% 47.51/30.00 inference(modus_ponens,[status(thm)],[2762, 2761])).
% 47.51/30.00 tff(2764,plain,
% 47.51/30.00 (v110(constB19)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2763, 292, 2757])).
% 47.51/30.00 tff(2765,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB19) | (~v110(constB19)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB19) | (~v110(constB19)))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2766,plain,
% 47.51/30.00 (((~v110(constB19)) | v109(constB19)) <=> (v109(constB19) | (~v110(constB19)))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2767,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB19)) | v109(constB19))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB19) | (~v110(constB19))))),
% 47.51/30.00 inference(monotonicity,[status(thm)],[2766])).
% 47.51/30.00 tff(2768,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB19)) | v109(constB19))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB19) | (~v110(constB19)))),
% 47.51/30.00 inference(transitivity,[status(thm)],[2767, 2765])).
% 47.51/30.00 tff(2769,plain,
% 47.51/30.00 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB19)) | v109(constB19))),
% 47.51/30.00 inference(quant_inst,[status(thm)],[])).
% 47.51/30.00 tff(2770,plain,
% 47.51/30.00 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB19) | (~v110(constB19))),
% 47.51/30.00 inference(modus_ponens,[status(thm)],[2769, 2768])).
% 47.51/30.00 tff(2771,plain,
% 47.51/30.00 (v109(constB19)),
% 47.51/30.00 inference(unit_resolution,[status(thm)],[2770, 306, 2764])).
% 47.51/30.00 tff(2772,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v109(constB19)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v109(constB19)))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2773,plain,
% 47.51/30.00 (((~v109(constB19)) | v108(constB19)) <=> (v108(constB19) | (~v109(constB19)))),
% 47.51/30.00 inference(rewrite,[status(thm)],[])).
% 47.51/30.00 tff(2774,plain,
% 47.51/30.00 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v109(constB19))))),
% 47.51/30.01 inference(monotonicity,[status(thm)],[2773])).
% 47.51/30.01 tff(2775,plain,
% 47.51/30.01 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v109(constB19)))),
% 47.51/30.01 inference(transitivity,[status(thm)],[2774, 2772])).
% 47.51/30.01 tff(2776,plain,
% 47.51/30.01 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB19)) | v108(constB19))),
% 47.51/30.01 inference(quant_inst,[status(thm)],[])).
% 47.51/30.01 tff(2777,plain,
% 47.51/30.01 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v109(constB19))),
% 47.51/30.01 inference(modus_ponens,[status(thm)],[2776, 2775])).
% 47.51/30.01 tff(2778,plain,
% 47.51/30.01 (v108(constB19)),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2777, 320, 2771])).
% 47.51/30.01 tff(2779,plain,
% 47.51/30.01 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB19)) | v107(constB19))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB19)) | v107(constB19))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2780,plain,
% 47.51/30.01 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB19)) | v107(constB19))),
% 47.51/30.01 inference(quant_inst,[status(thm)],[])).
% 47.51/30.01 tff(2781,plain,
% 47.51/30.01 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB19)) | v107(constB19)),
% 47.51/30.01 inference(modus_ponens,[status(thm)],[2780, 2779])).
% 47.51/30.01 tff(2782,plain,
% 47.51/30.01 (v107(constB19)),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2781, 334, 2778])).
% 47.51/30.01 tff(2783,assumption,(~v102(constB19)), introduced(assumption)).
% 47.51/30.01 tff(2784,plain,
% 47.51/30.01 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB19) | (~v106(constB19)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB19) | (~v106(constB19)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2785,plain,
% 47.51/30.01 (((~v106(constB19)) | v102(constB19)) <=> (v102(constB19) | (~v106(constB19)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2786,plain,
% 47.51/30.01 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB19)) | v102(constB19))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB19) | (~v106(constB19))))),
% 47.51/30.01 inference(monotonicity,[status(thm)],[2785])).
% 47.51/30.01 tff(2787,plain,
% 47.51/30.01 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB19)) | v102(constB19))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB19) | (~v106(constB19)))),
% 47.51/30.01 inference(transitivity,[status(thm)],[2786, 2784])).
% 47.51/30.01 tff(2788,plain,
% 47.51/30.01 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB19)) | v102(constB19))),
% 47.51/30.01 inference(quant_inst,[status(thm)],[])).
% 47.51/30.01 tff(2789,plain,
% 47.51/30.01 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB19) | (~v106(constB19))),
% 47.51/30.01 inference(modus_ponens,[status(thm)],[2788, 2787])).
% 47.51/30.01 tff(2790,plain,
% 47.51/30.01 (~v106(constB19)),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2789, 504, 2783])).
% 47.51/30.01 tff(2791,plain,
% 47.51/30.01 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB19) | (~v26(constB19)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB19) | (~v26(constB19)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2792,plain,
% 47.51/30.01 (((~v26(constB19)) | v102(constB19)) <=> (v102(constB19) | (~v26(constB19)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2793,plain,
% 47.51/30.01 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB19)) | v102(constB19))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB19) | (~v26(constB19))))),
% 47.51/30.01 inference(monotonicity,[status(thm)],[2792])).
% 47.51/30.01 tff(2794,plain,
% 47.51/30.01 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB19)) | v102(constB19))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB19) | (~v26(constB19)))),
% 47.51/30.01 inference(transitivity,[status(thm)],[2793, 2791])).
% 47.51/30.01 tff(2795,plain,
% 47.51/30.01 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB19)) | v102(constB19))),
% 47.51/30.01 inference(quant_inst,[status(thm)],[])).
% 47.51/30.01 tff(2796,plain,
% 47.51/30.01 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB19) | (~v26(constB19))),
% 47.51/30.01 inference(modus_ponens,[status(thm)],[2795, 2794])).
% 47.51/30.01 tff(2797,plain,
% 47.51/30.01 (~v26(constB19)),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2796, 723, 2783])).
% 47.51/30.01 tff(2798,assumption,(v107(constB19)), introduced(assumption)).
% 47.51/30.01 tff(2799,plain,
% 47.51/30.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | v106(constB19) | (~v107(constB19)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB19) | v106(constB19) | (~v107(constB19)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2800,plain,
% 47.51/30.01 ((v26(constB19) | (~v107(constB19)) | v106(constB19)) <=> (v26(constB19) | v106(constB19) | (~v107(constB19)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2801,plain,
% 47.51/30.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | (~v107(constB19)) | v106(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | v106(constB19) | (~v107(constB19))))),
% 47.51/30.01 inference(monotonicity,[status(thm)],[2800])).
% 47.51/30.01 tff(2802,plain,
% 47.51/30.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | (~v107(constB19)) | v106(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB19) | v106(constB19) | (~v107(constB19)))),
% 47.51/30.01 inference(transitivity,[status(thm)],[2801, 2799])).
% 47.51/30.01 tff(2803,plain,
% 47.51/30.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | (~v107(constB19)) | v106(constB19))),
% 47.51/30.01 inference(quant_inst,[status(thm)],[])).
% 47.51/30.01 tff(2804,plain,
% 47.51/30.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB19) | v106(constB19) | (~v107(constB19))),
% 47.51/30.01 inference(modus_ponens,[status(thm)],[2803, 2802])).
% 47.51/30.01 tff(2805,plain,
% 47.51/30.01 (v26(constB19) | v106(constB19)),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2804, 348, 2798])).
% 47.51/30.01 tff(2806,plain,
% 47.51/30.01 ($false),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2805, 2797, 2790])).
% 47.51/30.01 tff(2807,plain,(v102(constB19) | (~v107(constB19))), inference(lemma,lemma(discharge,[]))).
% 47.51/30.01 tff(2808,plain,
% 47.51/30.01 (v102(constB19)),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2807, 2782])).
% 47.51/30.01 tff(2809,plain,
% 47.51/30.01 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2810,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 47.51/30.01 tff(2811,plain,
% 47.51/30.01 (nextState(constB19, constB20)),
% 47.51/30.01 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 47.51/30.01 tff(2812,plain,
% 47.51/30.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2813,plain,
% 47.51/30.01 (((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20)) <=> ((~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2814,plain,
% 47.51/30.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19))))),
% 47.51/30.01 inference(monotonicity,[status(thm)],[2813])).
% 47.51/30.01 tff(2815,plain,
% 47.51/30.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))),
% 47.51/30.01 inference(transitivity,[status(thm)],[2814, 2812])).
% 47.51/30.01 tff(2816,plain,
% 47.51/30.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20))),
% 47.51/30.01 inference(quant_inst,[status(thm)],[])).
% 47.51/30.01 tff(2817,plain,
% 47.51/30.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19))),
% 47.51/30.01 inference(modus_ponens,[status(thm)],[2816, 2815])).
% 47.51/30.01 tff(2818,plain,
% 47.51/30.01 (v104(constB20) | (~v102(constB19))),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2817, 489, 2811])).
% 47.51/30.01 tff(2819,plain,
% 47.51/30.01 (v104(constB20)),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2818, 2808])).
% 47.51/30.01 tff(2820,plain,
% 47.51/30.01 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2821,plain,
% 47.51/30.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20)))),
% 47.51/30.01 inference(quant_inst,[status(thm)],[])).
% 47.51/30.01 tff(2822,plain,
% 47.51/30.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20))),
% 47.51/30.01 inference(modus_ponens,[status(thm)],[2821, 2820])).
% 47.51/30.01 tff(2823,plain,
% 47.51/30.01 (~v98(constB20)),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2822, 423, 2811, 2659])).
% 47.51/30.01 tff(2824,plain,
% 47.51/30.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB19, constB20)) | v96(constB20) | v98(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB19, constB20)) | v96(constB20) | v98(constB20))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2825,plain,
% 47.51/30.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB19, constB20)) | v96(constB20) | v98(constB20))),
% 47.51/30.01 inference(quant_inst,[status(thm)],[])).
% 47.51/30.01 tff(2826,plain,
% 47.51/30.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB19, constB20)) | v96(constB20) | v98(constB20)),
% 47.51/30.01 inference(modus_ponens,[status(thm)],[2825, 2824])).
% 47.51/30.01 tff(2827,plain,
% 47.51/30.01 (v96(constB20) | v98(constB20)),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2826, 437, 2811])).
% 47.51/30.01 tff(2828,plain,
% 47.51/30.01 (v96(constB20)),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2827, 2823])).
% 47.51/30.01 tff(2829,plain,
% 47.51/30.01 (v1(constB20) <=> v1(constB20)),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2830,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 47.51/30.01 tff(2831,plain,
% 47.51/30.01 (v1(constB20)),
% 47.51/30.01 inference(modus_ponens,[status(thm)],[2830, 2829])).
% 47.51/30.01 tff(2832,plain,
% 47.51/30.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2833,plain,
% 47.51/30.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20)))),
% 47.51/30.01 inference(quant_inst,[status(thm)],[])).
% 47.51/30.01 tff(2834,plain,
% 47.51/30.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20))),
% 47.51/30.01 inference(modus_ponens,[status(thm)],[2833, 2832])).
% 47.51/30.01 tff(2835,plain,
% 47.51/30.01 (v95(constB20) | (~v96(constB20))),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2834, 455, 2811, 2831])).
% 47.51/30.01 tff(2836,plain,
% 47.51/30.01 (v95(constB20)),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2835, 2828])).
% 47.51/30.01 tff(2837,plain,
% 47.51/30.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2838,plain,
% 47.51/30.01 (((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20)) <=> ((~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.01 tff(2839,plain,
% 47.51/30.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20))))),
% 47.51/30.01 inference(monotonicity,[status(thm)],[2838])).
% 47.51/30.01 tff(2840,plain,
% 47.51/30.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))),
% 47.51/30.01 inference(transitivity,[status(thm)],[2839, 2837])).
% 47.51/30.01 tff(2841,plain,
% 47.51/30.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20))),
% 47.51/30.01 inference(quant_inst,[status(thm)],[])).
% 47.51/30.01 tff(2842,plain,
% 47.51/30.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20))),
% 47.51/30.01 inference(modus_ponens,[status(thm)],[2841, 2840])).
% 47.51/30.01 tff(2843,plain,
% 47.51/30.01 (v94(constB20) | (~v95(constB20)) | (~v104(constB20))),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2842, 470, 2811])).
% 47.51/30.01 tff(2844,plain,
% 47.51/30.01 (v94(constB20) | (~v104(constB20))),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2843, 2836])).
% 47.51/30.01 tff(2845,plain,
% 47.51/30.01 (v94(constB20)),
% 47.51/30.01 inference(unit_resolution,[status(thm)],[2844, 2819])).
% 47.51/30.01 tff(2846,plain,
% 47.51/30.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB19)) | (~v124(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB19)) | (~v124(constB19, bitIndex2)))),
% 47.51/30.01 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2847,plain,
% 47.51/30.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB19)) | (~v124(constB19, bitIndex2)))),
% 47.51/30.02 inference(quant_inst,[status(thm)],[])).
% 47.51/30.02 tff(2848,plain,
% 47.51/30.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB19)) | (~v124(constB19, bitIndex2))),
% 47.51/30.02 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 47.51/30.02 tff(2849,plain,
% 47.51/30.02 (~v124(constB19, bitIndex2)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2848, 1690, 2750])).
% 47.51/30.02 tff(2850,assumption,(v26(constB19)), introduced(assumption)).
% 47.51/30.02 tff(2851,plain,
% 47.51/30.02 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 47.51/30.02 inference(quant_inst,[status(thm)],[])).
% 47.51/30.02 tff(2852,plain,
% 47.51/30.02 ($false),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2851, 55, 2850])).
% 47.51/30.02 tff(2853,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 47.51/30.02 tff(2854,plain,
% 47.51/30.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB19, bitIndex2)) | v26(constB19) | v124(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB19, bitIndex2)) | v26(constB19) | v124(constB19, bitIndex2))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2855,plain,
% 47.51/30.02 ((v26(constB19) | v124(constB19, bitIndex2) | (~v121(constB19, bitIndex2))) <=> ((~v121(constB19, bitIndex2)) | v26(constB19) | v124(constB19, bitIndex2))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2856,plain,
% 47.51/30.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB19) | v124(constB19, bitIndex2) | (~v121(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB19, bitIndex2)) | v26(constB19) | v124(constB19, bitIndex2)))),
% 47.51/30.02 inference(monotonicity,[status(thm)],[2855])).
% 47.51/30.02 tff(2857,plain,
% 47.51/30.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB19) | v124(constB19, bitIndex2) | (~v121(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB19, bitIndex2)) | v26(constB19) | v124(constB19, bitIndex2))),
% 47.51/30.02 inference(transitivity,[status(thm)],[2856, 2854])).
% 47.51/30.02 tff(2858,plain,
% 47.51/30.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB19) | v124(constB19, bitIndex2) | (~v121(constB19, bitIndex2)))),
% 47.51/30.02 inference(quant_inst,[status(thm)],[])).
% 47.51/30.02 tff(2859,plain,
% 47.51/30.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB19, bitIndex2)) | v26(constB19) | v124(constB19, bitIndex2)),
% 47.51/30.02 inference(modus_ponens,[status(thm)],[2858, 2857])).
% 47.51/30.02 tff(2860,plain,
% 47.51/30.02 ((~v121(constB19, bitIndex2)) | v124(constB19, bitIndex2)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2859, 1187, 2853])).
% 47.51/30.02 tff(2861,plain,
% 47.51/30.02 (~v121(constB19, bitIndex2)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2860, 2849])).
% 47.51/30.02 tff(2862,plain,
% 47.51/30.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex2) | (~v123(constB20, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex2) | (~v123(constB20, bitIndex2)))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2863,plain,
% 47.51/30.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex2) | (~v123(constB20, bitIndex2)))),
% 47.51/30.02 inference(quant_inst,[status(thm)],[])).
% 47.51/30.02 tff(2864,plain,
% 47.51/30.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex2) | (~v123(constB20, bitIndex2))),
% 47.51/30.02 inference(modus_ponens,[status(thm)],[2863, 2862])).
% 47.51/30.02 tff(2865,plain,
% 47.51/30.02 (v121(constB19, bitIndex2) | (~v123(constB20, bitIndex2))),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2864, 1205, 2811])).
% 47.51/30.02 tff(2866,plain,
% 47.51/30.02 (~v123(constB20, bitIndex2)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2865, 2861])).
% 47.51/30.02 tff(2867,plain,
% 47.51/30.02 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB20, bitIndex2)) | v123(constB20, bitIndex2) | (~v94(constB20)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB20, bitIndex2)) | v123(constB20, bitIndex2) | (~v94(constB20)))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2868,plain,
% 47.51/30.02 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB20, bitIndex2)) | v123(constB20, bitIndex2) | (~v94(constB20)))),
% 47.51/30.02 inference(quant_inst,[status(thm)],[])).
% 47.51/30.02 tff(2869,plain,
% 47.51/30.02 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB20, bitIndex2)) | v123(constB20, bitIndex2) | (~v94(constB20))),
% 47.51/30.02 inference(modus_ponens,[status(thm)],[2868, 2867])).
% 47.51/30.02 tff(2870,plain,
% 47.51/30.02 ((~v84(constB20, bitIndex2)) | (~v94(constB20))),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2869, 1220, 2866])).
% 47.51/30.02 tff(2871,plain,
% 47.51/30.02 (~v84(constB20, bitIndex2)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2870, 2845])).
% 47.51/30.02 tff(2872,plain,
% 47.51/30.02 ((~v1(constB21)) <=> (~v1(constB21))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2873,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 47.51/30.02 tff(2874,plain,
% 47.51/30.02 (~v1(constB21)),
% 47.51/30.02 inference(modus_ponens,[status(thm)],[2873, 2872])).
% 47.51/30.02 tff(2875,plain,
% 47.51/30.02 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2876,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 47.51/30.02 tff(2877,plain,
% 47.51/30.02 (nextState(constB20, constB21)),
% 47.51/30.02 inference(modus_ponens,[status(thm)],[2876, 2875])).
% 47.51/30.02 tff(2878,plain,
% 47.51/30.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2879,plain,
% 47.51/30.02 (((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2880,plain,
% 47.51/30.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21))))),
% 47.51/30.02 inference(monotonicity,[status(thm)],[2879])).
% 47.51/30.02 tff(2881,plain,
% 47.51/30.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))),
% 47.51/30.02 inference(transitivity,[status(thm)],[2880, 2878])).
% 47.51/30.02 tff(2882,plain,
% 47.51/30.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21))),
% 47.51/30.02 inference(quant_inst,[status(thm)],[])).
% 47.51/30.02 tff(2883,plain,
% 47.51/30.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21))),
% 47.51/30.02 inference(modus_ponens,[status(thm)],[2882, 2881])).
% 47.51/30.02 tff(2884,plain,
% 47.51/30.02 (~v95(constB21)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2883, 110, 2877, 2874])).
% 47.51/30.02 tff(2885,plain,
% 47.51/30.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21)))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2886,plain,
% 47.51/30.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21)))),
% 47.51/30.02 inference(quant_inst,[status(thm)],[])).
% 47.51/30.02 tff(2887,plain,
% 47.51/30.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21))),
% 47.51/30.02 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 47.51/30.02 tff(2888,plain,
% 47.51/30.02 (v95(constB21) | (~v94(constB21))),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2887, 127, 2877])).
% 47.51/30.02 tff(2889,plain,
% 47.51/30.02 (~v94(constB21)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2888, 2884])).
% 47.51/30.02 tff(2890,plain,
% 47.51/30.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex2)))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2891,plain,
% 47.51/30.02 (((~nextState(constB20, constB21)) | v84(constB20, bitIndex2) | v94(constB21) | (~v84(constB21, bitIndex2))) <=> (v84(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex2)))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2892,plain,
% 47.51/30.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex2) | v94(constB21) | (~v84(constB21, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex2))))),
% 47.51/30.02 inference(monotonicity,[status(thm)],[2891])).
% 47.51/30.02 tff(2893,plain,
% 47.51/30.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex2) | v94(constB21) | (~v84(constB21, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex2)))),
% 47.51/30.02 inference(transitivity,[status(thm)],[2892, 2890])).
% 47.51/30.02 tff(2894,plain,
% 47.51/30.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex2) | v94(constB21) | (~v84(constB21, bitIndex2)))),
% 47.51/30.02 inference(quant_inst,[status(thm)],[])).
% 47.51/30.02 tff(2895,plain,
% 47.51/30.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex2))),
% 47.51/30.02 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 47.51/30.02 tff(2896,plain,
% 47.51/30.02 (v84(constB20, bitIndex2) | v94(constB21) | (~v84(constB21, bitIndex2))),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2895, 142, 2877])).
% 47.51/30.02 tff(2897,plain,
% 47.51/30.02 (v84(constB20, bitIndex2) | (~v84(constB21, bitIndex2))),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2896, 2889])).
% 47.51/30.02 tff(2898,plain,
% 47.51/30.02 (~v84(constB21, bitIndex2)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2897, 2871])).
% 47.51/30.02 tff(2899,plain,
% 47.51/30.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB19)) | v124(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB19)) | v124(constB19, bitIndex0))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2900,plain,
% 47.51/30.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB19)) | v124(constB19, bitIndex0))),
% 47.51/30.02 inference(quant_inst,[status(thm)],[])).
% 47.51/30.02 tff(2901,plain,
% 47.51/30.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB19)) | v124(constB19, bitIndex0)),
% 47.51/30.02 inference(modus_ponens,[status(thm)],[2900, 2899])).
% 47.51/30.02 tff(2902,plain,
% 47.51/30.02 (v124(constB19, bitIndex0)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2901, 1784, 2750])).
% 47.51/30.02 tff(2903,plain,
% 47.51/30.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB19) | (~v124(constB19, bitIndex0)) | v121(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB19) | (~v124(constB19, bitIndex0)) | v121(constB19, bitIndex0))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2904,plain,
% 47.51/30.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB19) | (~v124(constB19, bitIndex0)) | v121(constB19, bitIndex0))),
% 47.51/30.02 inference(quant_inst,[status(thm)],[])).
% 47.51/30.02 tff(2905,plain,
% 47.51/30.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB19) | (~v124(constB19, bitIndex0)) | v121(constB19, bitIndex0)),
% 47.51/30.02 inference(modus_ponens,[status(thm)],[2904, 2903])).
% 47.51/30.02 tff(2906,plain,
% 47.51/30.02 ((~v124(constB19, bitIndex0)) | v121(constB19, bitIndex0)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2905, 1391, 2853])).
% 47.51/30.02 tff(2907,plain,
% 47.51/30.02 (v121(constB19, bitIndex0)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2906, 2902])).
% 47.51/30.02 tff(2908,plain,
% 47.51/30.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex0)) | v123(constB20, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex0)) | v123(constB20, bitIndex0))),
% 47.51/30.02 inference(rewrite,[status(thm)],[])).
% 47.51/30.02 tff(2909,plain,
% 47.51/30.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex0)) | v123(constB20, bitIndex0))),
% 47.51/30.02 inference(quant_inst,[status(thm)],[])).
% 47.51/30.02 tff(2910,plain,
% 47.51/30.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex0)) | v123(constB20, bitIndex0)),
% 47.51/30.02 inference(modus_ponens,[status(thm)],[2909, 2908])).
% 47.51/30.02 tff(2911,plain,
% 47.51/30.02 ((~v121(constB19, bitIndex0)) | v123(constB20, bitIndex0)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2910, 1406, 2811])).
% 47.51/30.02 tff(2912,plain,
% 47.51/30.02 (v123(constB20, bitIndex0)),
% 47.51/30.02 inference(unit_resolution,[status(thm)],[2911, 2907])).
% 47.51/30.03 tff(2913,plain,
% 47.51/30.03 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0)) | (~v94(constB20)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0)) | (~v94(constB20)))),
% 47.51/30.03 inference(rewrite,[status(thm)],[])).
% 47.51/30.03 tff(2914,plain,
% 47.51/30.03 ((v84(constB20, bitIndex0) | (~v94(constB20)) | (~v123(constB20, bitIndex0))) <=> (v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0)) | (~v94(constB20)))),
% 47.51/30.03 inference(rewrite,[status(thm)],[])).
% 47.51/30.03 tff(2915,plain,
% 47.51/30.03 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~v94(constB20)) | (~v123(constB20, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0)) | (~v94(constB20))))),
% 47.51/30.03 inference(monotonicity,[status(thm)],[2914])).
% 47.51/30.03 tff(2916,plain,
% 47.51/30.03 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~v94(constB20)) | (~v123(constB20, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0)) | (~v94(constB20)))),
% 47.51/30.03 inference(transitivity,[status(thm)],[2915, 2913])).
% 47.51/30.03 tff(2917,plain,
% 47.51/30.03 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~v94(constB20)) | (~v123(constB20, bitIndex0)))),
% 47.51/30.03 inference(quant_inst,[status(thm)],[])).
% 47.51/30.03 tff(2918,plain,
% 47.51/30.03 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0)) | (~v94(constB20))),
% 47.51/30.03 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 47.51/30.03 tff(2919,plain,
% 47.51/30.03 (v84(constB20, bitIndex0) | (~v94(constB20))),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2918, 1421, 2912])).
% 47.51/30.03 tff(2920,plain,
% 47.51/30.03 (v84(constB20, bitIndex0)),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2919, 2845])).
% 47.51/30.03 tff(2921,plain,
% 47.51/30.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex0))),
% 47.51/30.03 inference(rewrite,[status(thm)],[])).
% 47.51/30.03 tff(2922,plain,
% 47.51/30.03 (((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex0)) | v94(constB21) | v84(constB21, bitIndex0)) <=> ((~v84(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex0))),
% 47.51/30.03 inference(rewrite,[status(thm)],[])).
% 47.51/30.03 tff(2923,plain,
% 47.51/30.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex0)) | v94(constB21) | v84(constB21, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex0)))),
% 47.51/30.03 inference(monotonicity,[status(thm)],[2922])).
% 47.51/30.03 tff(2924,plain,
% 47.51/30.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex0)) | v94(constB21) | v84(constB21, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex0))),
% 47.51/30.03 inference(transitivity,[status(thm)],[2923, 2921])).
% 47.51/30.03 tff(2925,plain,
% 47.51/30.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex0)) | v94(constB21) | v84(constB21, bitIndex0))),
% 47.51/30.03 inference(quant_inst,[status(thm)],[])).
% 47.51/30.03 tff(2926,plain,
% 47.51/30.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex0)),
% 47.51/30.03 inference(modus_ponens,[status(thm)],[2925, 2924])).
% 47.51/30.03 tff(2927,plain,
% 47.51/30.03 ((~v84(constB20, bitIndex0)) | v94(constB21) | v84(constB21, bitIndex0)),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2926, 1439, 2877])).
% 47.51/30.03 tff(2928,plain,
% 47.51/30.03 ((~v84(constB20, bitIndex0)) | v84(constB21, bitIndex0)),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2927, 2889])).
% 47.51/30.03 tff(2929,plain,
% 47.51/30.03 (v84(constB21, bitIndex0)),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2928, 2920])).
% 47.51/30.03 tff(2930,assumption,(~v84(constB21, bitIndex1)), introduced(assumption)).
% 47.51/30.03 tff(2931,plain,
% 47.51/30.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex1))),
% 47.51/30.03 inference(rewrite,[status(thm)],[])).
% 47.51/30.03 tff(2932,plain,
% 47.51/30.03 (((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex1)) | v94(constB21) | v84(constB21, bitIndex1)) <=> ((~v84(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex1))),
% 47.51/30.03 inference(rewrite,[status(thm)],[])).
% 47.51/30.03 tff(2933,plain,
% 47.51/30.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex1)) | v94(constB21) | v84(constB21, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex1)))),
% 47.51/30.03 inference(monotonicity,[status(thm)],[2932])).
% 47.51/30.03 tff(2934,plain,
% 47.51/30.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex1)) | v94(constB21) | v84(constB21, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex1))),
% 47.51/30.03 inference(transitivity,[status(thm)],[2933, 2931])).
% 47.51/30.03 tff(2935,plain,
% 47.51/30.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex1)) | v94(constB21) | v84(constB21, bitIndex1))),
% 47.51/30.03 inference(quant_inst,[status(thm)],[])).
% 47.51/30.03 tff(2936,plain,
% 47.51/30.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex1)),
% 47.51/30.03 inference(modus_ponens,[status(thm)],[2935, 2934])).
% 47.51/30.03 tff(2937,plain,
% 47.51/30.03 ((~v84(constB20, bitIndex1)) | v94(constB21) | v84(constB21, bitIndex1)),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2936, 905, 2877])).
% 47.51/30.03 tff(2938,plain,
% 47.51/30.03 ((~v84(constB20, bitIndex1)) | v84(constB21, bitIndex1)),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2937, 2889])).
% 47.51/30.03 tff(2939,plain,
% 47.51/30.03 (~v84(constB20, bitIndex1)),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2938, 2930])).
% 47.51/30.03 tff(2940,assumption,(~v94(constB20)), introduced(assumption)).
% 47.51/30.03 tff(2941,plain,
% 47.51/30.03 (~v104(constB20)),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2844, 2940])).
% 47.51/30.03 tff(2942,plain,
% 47.51/30.03 (~v102(constB19)),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2818, 2941])).
% 47.51/30.03 tff(2943,plain,
% 47.51/30.03 (~v107(constB19)),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2807, 2942])).
% 47.51/30.03 tff(2944,plain,
% 47.51/30.03 (~v108(constB19)),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2781, 334, 2943])).
% 47.51/30.03 tff(2945,assumption,(~v84(constB20, bitIndex1)), introduced(assumption)).
% 47.51/30.03 tff(2946,assumption,(~v84(constB19, bitIndex0)), introduced(assumption)).
% 47.51/30.03 tff(2947,plain,
% 47.51/30.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v94(constB20) | v84(constB20, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v94(constB20) | v84(constB20, bitIndex1))),
% 47.51/30.03 inference(rewrite,[status(thm)],[])).
% 47.51/30.03 tff(2948,plain,
% 47.51/30.03 (((~nextState(constB19, constB20)) | (~v84(constB19, bitIndex1)) | v94(constB20) | v84(constB20, bitIndex1)) <=> ((~v84(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v94(constB20) | v84(constB20, bitIndex1))),
% 47.51/30.03 inference(rewrite,[status(thm)],[])).
% 47.51/30.03 tff(2949,plain,
% 47.51/30.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v84(constB19, bitIndex1)) | v94(constB20) | v84(constB20, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v94(constB20) | v84(constB20, bitIndex1)))),
% 47.51/30.03 inference(monotonicity,[status(thm)],[2948])).
% 47.51/30.03 tff(2950,plain,
% 47.51/30.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v84(constB19, bitIndex1)) | v94(constB20) | v84(constB20, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v94(constB20) | v84(constB20, bitIndex1))),
% 47.51/30.03 inference(transitivity,[status(thm)],[2949, 2947])).
% 47.51/30.03 tff(2951,plain,
% 47.51/30.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v84(constB19, bitIndex1)) | v94(constB20) | v84(constB20, bitIndex1))),
% 47.51/30.03 inference(quant_inst,[status(thm)],[])).
% 47.51/30.03 tff(2952,plain,
% 47.51/30.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v94(constB20) | v84(constB20, bitIndex1)),
% 47.51/30.03 inference(modus_ponens,[status(thm)],[2951, 2950])).
% 47.51/30.03 tff(2953,plain,
% 47.51/30.03 ((~v84(constB19, bitIndex1)) | v94(constB20) | v84(constB20, bitIndex1)),
% 47.51/30.03 inference(unit_resolution,[status(thm)],[2952, 905, 2811])).
% 47.51/30.03 tff(2954,plain,
% 47.51/30.03 (~v84(constB19, bitIndex1)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2953, 2940, 2945])).
% 47.51/30.04 tff(2955,assumption,(~v109(constB19)), introduced(assumption)).
% 47.51/30.04 tff(2956,plain,
% 47.51/30.04 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB19) | (~v172(constB19)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB19) | (~v172(constB19)))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(2957,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB19) | (~v172(constB19)))),
% 47.51/30.04 inference(quant_inst,[status(thm)],[])).
% 47.51/30.04 tff(2958,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB19) | (~v172(constB19))),
% 47.51/30.04 inference(modus_ponens,[status(thm)],[2957, 2956])).
% 47.51/30.04 tff(2959,plain,
% 47.51/30.04 (~v172(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2958, 740, 2955])).
% 47.51/30.04 tff(2960,assumption,(~v84(constB19, bitIndex1)), introduced(assumption)).
% 47.51/30.04 tff(2961,plain,
% 47.51/30.04 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB19, bitIndex0) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex2)) | v172(constB19))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB19, bitIndex0) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex2)) | v172(constB19))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(2962,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB19, bitIndex0) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex2)) | v172(constB19))),
% 47.51/30.04 inference(quant_inst,[status(thm)],[])).
% 47.51/30.04 tff(2963,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB19, bitIndex0) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex2)) | v172(constB19)),
% 47.51/30.04 inference(modus_ponens,[status(thm)],[2962, 2961])).
% 47.51/30.04 tff(2964,plain,
% 47.51/30.04 (v84(constB19, bitIndex0) | (~v84(constB19, bitIndex2)) | v172(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2963, 679, 2960])).
% 47.51/30.04 tff(2965,plain,
% 47.51/30.04 (~v84(constB19, bitIndex2)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2964, 2959, 2946])).
% 47.51/30.04 tff(2966,plain,
% 47.51/30.04 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB19, bitIndex0) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | v113(constB19))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB19, bitIndex0) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | v113(constB19))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(2967,plain,
% 47.51/30.04 ((v84(constB19, bitIndex0) | v113(constB19) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2)) <=> (v84(constB19, bitIndex0) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | v113(constB19))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(2968,plain,
% 47.51/30.04 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB19, bitIndex0) | v113(constB19) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB19, bitIndex0) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | v113(constB19)))),
% 47.51/30.04 inference(monotonicity,[status(thm)],[2967])).
% 47.51/30.04 tff(2969,plain,
% 47.51/30.04 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB19, bitIndex0) | v113(constB19) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB19, bitIndex0) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | v113(constB19))),
% 47.51/30.04 inference(transitivity,[status(thm)],[2968, 2966])).
% 47.51/30.04 tff(2970,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB19, bitIndex0) | v113(constB19) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2))),
% 47.51/30.04 inference(quant_inst,[status(thm)],[])).
% 47.51/30.04 tff(2971,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB19, bitIndex0) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | v113(constB19)),
% 47.51/30.04 inference(modus_ponens,[status(thm)],[2970, 2969])).
% 47.51/30.04 tff(2972,plain,
% 47.51/30.04 (v84(constB19, bitIndex0) | v84(constB19, bitIndex2) | v113(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2971, 205, 2960])).
% 47.51/30.04 tff(2973,plain,
% 47.51/30.04 (v113(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2972, 2965, 2946])).
% 47.51/30.04 tff(2974,plain,
% 47.51/30.04 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB19) | (~v113(constB19)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB19) | (~v113(constB19)))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(2975,plain,
% 47.51/30.04 (((~v113(constB19)) | v112(constB19)) <=> (v112(constB19) | (~v113(constB19)))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(2976,plain,
% 47.51/30.04 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB19) | (~v113(constB19))))),
% 47.51/30.04 inference(monotonicity,[status(thm)],[2975])).
% 47.51/30.04 tff(2977,plain,
% 47.51/30.04 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB19) | (~v113(constB19)))),
% 47.51/30.04 inference(transitivity,[status(thm)],[2976, 2974])).
% 47.51/30.04 tff(2978,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB19)) | v112(constB19))),
% 47.51/30.04 inference(quant_inst,[status(thm)],[])).
% 47.51/30.04 tff(2979,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB19) | (~v113(constB19))),
% 47.51/30.04 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 47.51/30.04 tff(2980,plain,
% 47.51/30.04 (v112(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2979, 267, 2973])).
% 47.51/30.04 tff(2981,plain,
% 47.51/30.04 (~v110(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2770, 306, 2955])).
% 47.51/30.04 tff(2982,plain,
% 47.51/30.04 (~v111(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2763, 292, 2981])).
% 47.51/30.04 tff(2983,plain,
% 47.51/30.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB19)) | v111(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB19)) | v111(constB19))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(2984,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB19)) | v111(constB19))),
% 47.51/30.04 inference(quant_inst,[status(thm)],[])).
% 47.51/30.04 tff(2985,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB19)) | v111(constB19)),
% 47.51/30.04 inference(modus_ponens,[status(thm)],[2984, 2983])).
% 47.51/30.04 tff(2986,plain,
% 47.51/30.04 ($false),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2985, 278, 2982, 2980])).
% 47.51/30.04 tff(2987,plain,(v109(constB19) | v84(constB19, bitIndex0) | v84(constB19, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 47.51/30.04 tff(2988,plain,
% 47.51/30.04 (v109(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2987, 2954, 2946])).
% 47.51/30.04 tff(2989,plain,
% 47.51/30.04 (v108(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2777, 320, 2988])).
% 47.51/30.04 tff(2990,plain,
% 47.51/30.04 ($false),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2781, 334, 2943, 2989])).
% 47.51/30.04 tff(2991,plain,(v94(constB20) | v84(constB19, bitIndex0) | v84(constB20, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 47.51/30.04 tff(2992,plain,
% 47.51/30.04 (v84(constB19, bitIndex0)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2991, 2940, 2945])).
% 47.51/30.04 tff(2993,assumption,(~v84(constB20, bitIndex2)), introduced(assumption)).
% 47.51/30.04 tff(2994,assumption,(v84(constB19, bitIndex0)), introduced(assumption)).
% 47.51/30.04 tff(2995,assumption,(~v145(constB19)), introduced(assumption)).
% 47.51/30.04 tff(2996,plain,
% 47.51/30.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v94(constB20) | v84(constB20, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v94(constB20) | v84(constB20, bitIndex2))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(2997,plain,
% 47.51/30.04 (((~nextState(constB19, constB20)) | (~v84(constB19, bitIndex2)) | v94(constB20) | v84(constB20, bitIndex2)) <=> ((~v84(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v94(constB20) | v84(constB20, bitIndex2))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(2998,plain,
% 47.51/30.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v84(constB19, bitIndex2)) | v94(constB20) | v84(constB20, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v94(constB20) | v84(constB20, bitIndex2)))),
% 47.51/30.04 inference(monotonicity,[status(thm)],[2997])).
% 47.51/30.04 tff(2999,plain,
% 47.51/30.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v84(constB19, bitIndex2)) | v94(constB20) | v84(constB20, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v94(constB20) | v84(constB20, bitIndex2))),
% 47.51/30.04 inference(transitivity,[status(thm)],[2998, 2996])).
% 47.51/30.04 tff(3000,plain,
% 47.51/30.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v84(constB19, bitIndex2)) | v94(constB20) | v84(constB20, bitIndex2))),
% 47.51/30.04 inference(quant_inst,[status(thm)],[])).
% 47.51/30.04 tff(3001,plain,
% 47.51/30.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v94(constB20) | v84(constB20, bitIndex2)),
% 47.51/30.04 inference(modus_ponens,[status(thm)],[3000, 2999])).
% 47.51/30.04 tff(3002,plain,
% 47.51/30.04 ((~v84(constB19, bitIndex2)) | v94(constB20) | v84(constB20, bitIndex2)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[3001, 576, 2811])).
% 47.51/30.04 tff(3003,plain,
% 47.51/30.04 (~v84(constB19, bitIndex2)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[3002, 2940, 2993])).
% 47.51/30.04 tff(3004,plain,
% 47.51/30.04 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB19, bitIndex0)) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | v145(constB19))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB19, bitIndex0)) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | v145(constB19))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(3005,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB19, bitIndex0)) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | v145(constB19))),
% 47.51/30.04 inference(quant_inst,[status(thm)],[])).
% 47.51/30.04 tff(3006,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB19, bitIndex0)) | v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | v145(constB19)),
% 47.51/30.04 inference(modus_ponens,[status(thm)],[3005, 3004])).
% 47.51/30.04 tff(3007,plain,
% 47.51/30.04 (v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | v145(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[3006, 1268, 2994])).
% 47.51/30.04 tff(3008,plain,
% 47.51/30.04 ($false),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[3007, 3003, 2954, 2995])).
% 47.51/30.04 tff(3009,plain,(v94(constB20) | v145(constB19) | (~v84(constB19, bitIndex0)) | v84(constB20, bitIndex2) | v84(constB20, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 47.51/30.04 tff(3010,plain,
% 47.51/30.04 (v145(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[3009, 2940, 2994, 2993, 2945])).
% 47.51/30.04 tff(3011,plain,
% 47.51/30.04 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB19) | (~v145(constB19)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB19) | (~v145(constB19)))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(3012,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB19) | (~v145(constB19)))),
% 47.51/30.04 inference(quant_inst,[status(thm)],[])).
% 47.51/30.04 tff(3013,plain,
% 47.51/30.04 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB19) | (~v145(constB19))),
% 47.51/30.04 inference(modus_ponens,[status(thm)],[3012, 3011])).
% 47.51/30.04 tff(3014,plain,
% 47.51/30.04 (v112(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[3013, 1253, 3010])).
% 47.51/30.04 tff(3015,plain,
% 47.51/30.04 (v111(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2985, 278, 3014])).
% 47.51/30.04 tff(3016,plain,
% 47.51/30.04 (v110(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2763, 292, 3015])).
% 47.51/30.04 tff(3017,plain,
% 47.51/30.04 (v109(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2770, 306, 3016])).
% 47.51/30.04 tff(3018,plain,
% 47.51/30.04 (~v106(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2789, 504, 2942])).
% 47.51/30.04 tff(3019,plain,
% 47.51/30.04 (~v26(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2796, 723, 2942])).
% 47.51/30.04 tff(3020,plain,
% 47.51/30.04 (~v107(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2804, 348, 3019, 3018])).
% 47.51/30.04 tff(3021,plain,
% 47.51/30.04 (~v108(constB19)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2781, 334, 3020])).
% 47.51/30.04 tff(3022,plain,
% 47.51/30.04 ($false),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[2777, 320, 3021, 3017])).
% 47.51/30.04 tff(3023,plain,(v94(constB20) | (~v84(constB19, bitIndex0)) | v84(constB20, bitIndex2) | v84(constB20, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 47.51/30.04 tff(3024,plain,
% 47.51/30.04 (v84(constB20, bitIndex2)),
% 47.51/30.04 inference(unit_resolution,[status(thm)],[3023, 2992, 2940, 2945])).
% 47.51/30.04 tff(3025,plain,
% 47.51/30.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v94(constB20) | (~v84(constB20, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v94(constB20) | (~v84(constB20, bitIndex2)))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(3026,plain,
% 47.51/30.04 (((~nextState(constB19, constB20)) | v84(constB19, bitIndex2) | v94(constB20) | (~v84(constB20, bitIndex2))) <=> (v84(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v94(constB20) | (~v84(constB20, bitIndex2)))),
% 47.51/30.04 inference(rewrite,[status(thm)],[])).
% 47.51/30.04 tff(3027,plain,
% 47.51/30.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v84(constB19, bitIndex2) | v94(constB20) | (~v84(constB20, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v94(constB20) | (~v84(constB20, bitIndex2))))),
% 47.51/30.04 inference(monotonicity,[status(thm)],[3026])).
% 47.51/30.04 tff(3028,plain,
% 47.51/30.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v84(constB19, bitIndex2) | v94(constB20) | (~v84(constB20, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v94(constB20) | (~v84(constB20, bitIndex2)))),
% 47.51/30.05 inference(transitivity,[status(thm)],[3027, 3025])).
% 47.51/30.05 tff(3029,plain,
% 47.51/30.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v84(constB19, bitIndex2) | v94(constB20) | (~v84(constB20, bitIndex2)))),
% 47.51/30.05 inference(quant_inst,[status(thm)],[])).
% 47.51/30.05 tff(3030,plain,
% 47.51/30.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v94(constB20) | (~v84(constB20, bitIndex2))),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3029, 3028])).
% 47.51/30.05 tff(3031,plain,
% 47.51/30.05 (v84(constB19, bitIndex2) | v94(constB20) | (~v84(constB20, bitIndex2))),
% 47.51/30.05 inference(unit_resolution,[status(thm)],[3030, 142, 2811])).
% 47.51/30.05 tff(3032,plain,
% 47.51/30.05 (v84(constB19, bitIndex2)),
% 47.51/30.05 inference(unit_resolution,[status(thm)],[3031, 3024, 2940])).
% 47.51/30.05 tff(3033,plain,
% 47.51/30.05 (^[VarCurr: state_type] : refl(((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)))),
% 47.51/30.05 inference(bind,[status(th)],[])).
% 47.51/30.05 tff(3034,plain,
% 47.51/30.05 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 47.51/30.05 inference(quant_intro,[status(thm)],[3033])).
% 47.51/30.05 tff(3035,plain,
% 47.51/30.05 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 47.51/30.05 inference(rewrite,[status(thm)],[])).
% 47.51/30.05 tff(3036,plain,
% 47.51/30.05 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1))), (((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex2))) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))), (((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex2))) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))))), ((((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex2))) | v118(VarCurr)) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))) | v118(VarCurr)))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))) | v118(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))), ((((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex2))) | v118(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))))),
% 47.51/30.05 inference(bind,[status(th)],[])).
% 47.51/30.05 tff(3037,plain,
% 47.51/30.05 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex2))) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 47.51/30.05 inference(quant_intro,[status(thm)],[3036])).
% 47.51/30.05 tff(3038,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex2))) | v118(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 47.51/30.05 tff(3039,plain,
% 47.51/30.05 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3038, 3037])).
% 47.51/30.05 tff(3040,plain,
% 47.51/30.05 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3039, 3035])).
% 47.51/30.05 tff(3041,plain,(
% 47.51/30.05 ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 47.51/30.05 inference(skolemize,[status(sab)],[3040])).
% 47.51/30.05 tff(3042,plain,
% 47.51/30.05 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3041, 3034])).
% 47.51/30.05 tff(3043,plain,
% 47.51/30.05 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB19, bitIndex0)) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex2)) | v118(constB19))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB19, bitIndex0)) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex2)) | v118(constB19))),
% 47.51/30.05 inference(rewrite,[status(thm)],[])).
% 47.51/30.05 tff(3044,plain,
% 47.51/30.05 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB19, bitIndex0)) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex2)) | v118(constB19))),
% 47.51/30.05 inference(quant_inst,[status(thm)],[])).
% 47.51/30.05 tff(3045,plain,
% 47.51/30.05 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB19, bitIndex0)) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex2)) | v118(constB19)),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3044, 3043])).
% 47.51/30.05 tff(3046,plain,
% 47.51/30.05 (v118(constB19)),
% 47.51/30.05 inference(unit_resolution,[status(thm)],[3045, 3042, 2992, 2954, 3032])).
% 47.51/30.05 tff(3047,plain,
% 47.51/30.05 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v108(VarCurr)) <=> ((~v118(VarCurr)) | v108(VarCurr)))),
% 47.51/30.05 inference(bind,[status(th)],[])).
% 47.51/30.05 tff(3048,plain,
% 47.51/30.05 (![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))),
% 47.51/30.05 inference(quant_intro,[status(thm)],[3047])).
% 47.51/30.05 tff(3049,plain,
% 47.51/30.05 (![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))),
% 47.51/30.05 inference(rewrite,[status(thm)],[])).
% 47.51/30.05 tff(3050,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 47.51/30.05 tff(3051,plain,
% 47.51/30.05 (![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 47.51/30.05 tff(3052,plain,(
% 47.51/30.05 ![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))),
% 47.51/30.05 inference(skolemize,[status(sab)],[3051])).
% 47.51/30.05 tff(3053,plain,
% 47.51/30.05 (![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3052, 3048])).
% 47.51/30.05 tff(3054,plain,
% 47.51/30.05 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB19)) | v108(constB19))),
% 47.51/30.05 inference(rewrite,[status(thm)],[])).
% 47.51/30.05 tff(3055,plain,
% 47.51/30.05 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB19)) | v108(constB19))),
% 47.51/30.05 inference(quant_inst,[status(thm)],[])).
% 47.51/30.05 tff(3056,plain,
% 47.51/30.05 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB19)) | v108(constB19)),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3055, 3054])).
% 47.51/30.05 tff(3057,plain,
% 47.51/30.05 ($false),
% 47.51/30.05 inference(unit_resolution,[status(thm)],[3056, 3053, 3046, 2944])).
% 47.51/30.05 tff(3058,plain,(v94(constB20) | v84(constB20, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 47.51/30.05 tff(3059,plain,
% 47.51/30.05 (v94(constB20)),
% 47.51/30.05 inference(unit_resolution,[status(thm)],[3058, 2939])).
% 47.51/30.05 tff(3060,plain,
% 47.51/30.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~v123(constB20, bitIndex1)) | (~v94(constB20)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB20, bitIndex1) | (~v123(constB20, bitIndex1)) | (~v94(constB20)))),
% 47.51/30.05 inference(rewrite,[status(thm)],[])).
% 47.51/30.05 tff(3061,plain,
% 47.51/30.05 ((v84(constB20, bitIndex1) | (~v94(constB20)) | (~v123(constB20, bitIndex1))) <=> (v84(constB20, bitIndex1) | (~v123(constB20, bitIndex1)) | (~v94(constB20)))),
% 47.51/30.05 inference(rewrite,[status(thm)],[])).
% 47.51/30.05 tff(3062,plain,
% 47.51/30.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~v94(constB20)) | (~v123(constB20, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~v123(constB20, bitIndex1)) | (~v94(constB20))))),
% 47.51/30.05 inference(monotonicity,[status(thm)],[3061])).
% 47.51/30.05 tff(3063,plain,
% 47.51/30.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~v94(constB20)) | (~v123(constB20, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB20, bitIndex1) | (~v123(constB20, bitIndex1)) | (~v94(constB20)))),
% 47.51/30.05 inference(transitivity,[status(thm)],[3062, 3060])).
% 47.51/30.05 tff(3064,plain,
% 47.51/30.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~v94(constB20)) | (~v123(constB20, bitIndex1)))),
% 47.51/30.05 inference(quant_inst,[status(thm)],[])).
% 47.51/30.05 tff(3065,plain,
% 47.51/30.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB20, bitIndex1) | (~v123(constB20, bitIndex1)) | (~v94(constB20))),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3064, 3063])).
% 47.51/30.05 tff(3066,plain,
% 47.51/30.05 (~v123(constB20, bitIndex1)),
% 47.51/30.05 inference(unit_resolution,[status(thm)],[3065, 887, 3059, 2939])).
% 47.51/30.05 tff(3067,plain,
% 47.51/30.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex1)) | v123(constB20, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex1)) | v123(constB20, bitIndex1))),
% 47.51/30.05 inference(rewrite,[status(thm)],[])).
% 47.51/30.05 tff(3068,plain,
% 47.51/30.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex1)) | v123(constB20, bitIndex1))),
% 47.51/30.05 inference(quant_inst,[status(thm)],[])).
% 47.51/30.05 tff(3069,plain,
% 47.51/30.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex1)) | v123(constB20, bitIndex1)),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3068, 3067])).
% 47.51/30.05 tff(3070,plain,
% 47.51/30.05 ((~v121(constB19, bitIndex1)) | v123(constB20, bitIndex1)),
% 47.51/30.05 inference(unit_resolution,[status(thm)],[3069, 872, 2811])).
% 47.51/30.05 tff(3071,plain,
% 47.51/30.05 (~v121(constB19, bitIndex1)),
% 47.51/30.05 inference(unit_resolution,[status(thm)],[3070, 3066])).
% 47.51/30.05 tff(3072,plain,
% 47.51/30.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB19) | (~v124(constB19, bitIndex1)) | v121(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB19) | (~v124(constB19, bitIndex1)) | v121(constB19, bitIndex1))),
% 47.51/30.05 inference(rewrite,[status(thm)],[])).
% 47.51/30.05 tff(3073,plain,
% 47.51/30.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB19) | (~v124(constB19, bitIndex1)) | v121(constB19, bitIndex1))),
% 47.51/30.05 inference(quant_inst,[status(thm)],[])).
% 47.51/30.05 tff(3074,plain,
% 47.51/30.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB19) | (~v124(constB19, bitIndex1)) | v121(constB19, bitIndex1)),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3073, 3072])).
% 47.51/30.05 tff(3075,plain,
% 47.51/30.05 ((~v124(constB19, bitIndex1)) | v121(constB19, bitIndex1)),
% 47.51/30.05 inference(unit_resolution,[status(thm)],[3074, 857, 2853])).
% 47.51/30.05 tff(3076,plain,
% 47.51/30.05 (~v124(constB19, bitIndex1)),
% 47.51/30.05 inference(unit_resolution,[status(thm)],[3075, 3071])).
% 47.51/30.05 tff(3077,plain,
% 47.51/30.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB19)) | v124(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB19)) | v124(constB19, bitIndex1))),
% 47.51/30.05 inference(rewrite,[status(thm)],[])).
% 47.51/30.05 tff(3078,plain,
% 47.51/30.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB19)) | v124(constB19, bitIndex1))),
% 47.51/30.05 inference(quant_inst,[status(thm)],[])).
% 47.51/30.05 tff(3079,plain,
% 47.51/30.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB19)) | v124(constB19, bitIndex1)),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 47.51/30.05 tff(3080,plain,
% 47.51/30.05 (~v115(constB19)),
% 47.51/30.05 inference(unit_resolution,[status(thm)],[3079, 1746, 3076])).
% 47.51/30.05 tff(3081,plain,
% 47.51/30.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20)))),
% 47.51/30.05 inference(rewrite,[status(thm)],[])).
% 47.51/30.05 tff(3082,plain,
% 47.51/30.05 ((v84(constB20, bitIndex2) | (~v94(constB20)) | (~v123(constB20, bitIndex2))) <=> (v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20)))),
% 47.51/30.05 inference(rewrite,[status(thm)],[])).
% 47.51/30.05 tff(3083,plain,
% 47.51/30.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v94(constB20)) | (~v123(constB20, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20))))),
% 47.51/30.05 inference(monotonicity,[status(thm)],[3082])).
% 47.51/30.05 tff(3084,plain,
% 47.51/30.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v94(constB20)) | (~v123(constB20, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20)))),
% 47.51/30.05 inference(transitivity,[status(thm)],[3083, 3081])).
% 47.51/30.05 tff(3085,plain,
% 47.51/30.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v94(constB20)) | (~v123(constB20, bitIndex2)))),
% 47.51/30.05 inference(quant_inst,[status(thm)],[])).
% 47.51/30.05 tff(3086,plain,
% 47.51/30.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20))),
% 47.51/30.05 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 47.51/30.05 tff(3087,plain,
% 47.51/30.05 (v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2))),
% 47.51/30.05 inference(unit_resolution,[status(thm)],[3086, 405, 3059])).
% 47.61/30.06 tff(3088,plain,
% 47.61/30.06 (~v123(constB20, bitIndex2)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3087, 2993])).
% 47.61/30.06 tff(3089,plain,
% 47.61/30.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3090,plain,
% 47.61/30.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2))),
% 47.61/30.06 inference(quant_inst,[status(thm)],[])).
% 47.61/30.06 tff(3091,plain,
% 47.61/30.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2)),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3090, 3089])).
% 47.61/30.06 tff(3092,plain,
% 47.61/30.06 ((~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3091, 389, 2811])).
% 47.61/30.06 tff(3093,plain,
% 47.61/30.06 (~v121(constB19, bitIndex2)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3092, 3088])).
% 47.61/30.06 tff(3094,plain,
% 47.61/30.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB19) | (~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB19) | (~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3095,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB19) | (~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2))),
% 47.61/30.06 inference(quant_inst,[status(thm)],[])).
% 47.61/30.06 tff(3096,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB19) | (~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2)),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3095, 3094])).
% 47.61/30.06 tff(3097,plain,
% 47.61/30.06 ((~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3096, 374, 2853])).
% 47.61/30.06 tff(3098,plain,
% 47.61/30.06 (~v124(constB19, bitIndex2)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3097, 3093])).
% 47.61/30.06 tff(3099,plain,
% 47.61/30.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB19)) | v124(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB19)) | v124(constB19, bitIndex2))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3100,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB19)) | v124(constB19, bitIndex2))),
% 47.61/30.06 inference(quant_inst,[status(thm)],[])).
% 47.61/30.06 tff(3101,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB19)) | v124(constB19, bitIndex2)),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3100, 3099])).
% 47.61/30.06 tff(3102,plain,
% 47.61/30.06 (~v116(constB19)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3101, 1923, 3098])).
% 47.61/30.06 tff(3103,plain,
% 47.61/30.06 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB19)) | v124(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB19)) | v124(constB19, bitIndex1))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3104,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB19)) | v124(constB19, bitIndex1))),
% 47.61/30.06 inference(quant_inst,[status(thm)],[])).
% 47.61/30.06 tff(3105,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB19)) | v124(constB19, bitIndex1)),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3104, 3103])).
% 47.61/30.06 tff(3106,plain,
% 47.61/30.06 (~v172(constB19)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3105, 843, 3076])).
% 47.61/30.06 tff(3107,plain,
% 47.61/30.06 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB19)) | v124(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB19)) | v124(constB19, bitIndex1))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3108,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB19)) | v124(constB19, bitIndex1))),
% 47.61/30.06 inference(quant_inst,[status(thm)],[])).
% 47.61/30.06 tff(3109,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB19)) | v124(constB19, bitIndex1)),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3108, 3107])).
% 47.61/30.06 tff(3110,plain,
% 47.61/30.06 (~v145(constB19)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3109, 1512, 3076])).
% 47.61/30.06 tff(3111,plain,
% 47.61/30.06 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 47.61/30.06 inference(bind,[status(th)],[])).
% 47.61/30.06 tff(3112,plain,
% 47.61/30.06 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.61/30.06 inference(quant_intro,[status(thm)],[3111])).
% 47.61/30.06 tff(3113,plain,
% 47.61/30.06 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3114,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 47.61/30.06 tff(3115,plain,
% 47.61/30.06 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3114, 3113])).
% 47.61/30.06 tff(3116,plain,(
% 47.61/30.06 ![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.61/30.06 inference(skolemize,[status(sab)],[3115])).
% 47.61/30.06 tff(3117,plain,
% 47.61/30.06 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3116, 3112])).
% 47.61/30.06 tff(3118,plain,
% 47.61/30.06 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB19)) | v124(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB19)) | v124(constB19, bitIndex1))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3119,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB19)) | v124(constB19, bitIndex1))),
% 47.61/30.06 inference(quant_inst,[status(thm)],[])).
% 47.61/30.06 tff(3120,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB19)) | v124(constB19, bitIndex1)),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3119, 3118])).
% 47.61/30.06 tff(3121,plain,
% 47.61/30.06 (~v118(constB19)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3120, 3117, 3076])).
% 47.61/30.06 tff(3122,plain,
% 47.61/30.06 (~v84(constB21, bitIndex2)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[2897, 2993])).
% 47.61/30.06 tff(3123,assumption,(~v145(constB21)), introduced(assumption)).
% 47.61/30.06 tff(3124,plain,
% 47.61/30.06 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v145(constB21))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v145(constB21))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3125,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v145(constB21))),
% 47.61/30.06 inference(quant_inst,[status(thm)],[])).
% 47.61/30.06 tff(3126,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v145(constB21)),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3125, 3124])).
% 47.61/30.06 tff(3127,plain,
% 47.61/30.06 ((~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3126, 1268, 3123])).
% 47.61/30.06 tff(3128,plain,
% 47.61/30.06 (~v84(constB21, bitIndex0)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3127, 3122, 2930])).
% 47.61/30.06 tff(3129,plain,
% 47.61/30.06 (~v84(constB20, bitIndex0)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[2928, 3128])).
% 47.61/30.06 tff(3130,assumption,(v94(constB20)), introduced(assumption)).
% 47.61/30.06 tff(3131,plain,
% 47.61/30.06 (v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0))),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[2918, 1421, 3130])).
% 47.61/30.06 tff(3132,plain,
% 47.61/30.06 (~v123(constB20, bitIndex0)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3131, 3129])).
% 47.61/30.06 tff(3133,plain,
% 47.61/30.06 (~v121(constB19, bitIndex0)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[2911, 3132])).
% 47.61/30.06 tff(3134,plain,
% 47.61/30.06 (~v124(constB19, bitIndex0)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[2906, 3133])).
% 47.61/30.06 tff(3135,plain,
% 47.61/30.06 (v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2))),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3086, 405, 3130])).
% 47.61/30.06 tff(3136,plain,
% 47.61/30.06 (~v123(constB20, bitIndex2)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3135, 2993])).
% 47.61/30.06 tff(3137,plain,
% 47.61/30.06 (~v121(constB19, bitIndex2)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3092, 3136])).
% 47.61/30.06 tff(3138,plain,
% 47.61/30.06 (~v124(constB19, bitIndex2)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3097, 3137])).
% 47.61/30.06 tff(3139,plain,
% 47.61/30.06 (~v116(constB19)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3101, 1923, 3138])).
% 47.61/30.06 tff(3140,plain,
% 47.61/30.06 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB19)) | v124(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB19)) | v124(constB19, bitIndex2))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3141,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB19)) | v124(constB19, bitIndex2))),
% 47.61/30.06 inference(quant_inst,[status(thm)],[])).
% 47.61/30.06 tff(3142,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB19)) | v124(constB19, bitIndex2)),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3141, 3140])).
% 47.61/30.06 tff(3143,plain,
% 47.61/30.06 (~v113(constB19)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3142, 360, 3138])).
% 47.61/30.06 tff(3144,assumption,(~v118(constB19)), introduced(assumption)).
% 47.61/30.06 tff(3145,assumption,(~v172(constB19)), introduced(assumption)).
% 47.61/30.06 tff(3146,plain,
% 47.61/30.06 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19) | v124(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19) | v124(constB19, bitIndex0))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3147,plain,
% 47.61/30.06 ((v113(constB19) | v145(constB19) | v115(constB19) | v116(constB19) | v172(constB19) | v118(constB19) | v124(constB19, bitIndex0)) <=> (v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19) | v124(constB19, bitIndex0))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3148,plain,
% 47.61/30.06 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB19) | v145(constB19) | v115(constB19) | v116(constB19) | v172(constB19) | v118(constB19) | v124(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19) | v124(constB19, bitIndex0)))),
% 47.61/30.06 inference(monotonicity,[status(thm)],[3147])).
% 47.61/30.06 tff(3149,plain,
% 47.61/30.06 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB19) | v145(constB19) | v115(constB19) | v116(constB19) | v172(constB19) | v118(constB19) | v124(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19) | v124(constB19, bitIndex0))),
% 47.61/30.06 inference(transitivity,[status(thm)],[3148, 3146])).
% 47.61/30.06 tff(3150,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB19) | v145(constB19) | v115(constB19) | v116(constB19) | v172(constB19) | v118(constB19) | v124(constB19, bitIndex0))),
% 47.61/30.06 inference(quant_inst,[status(thm)],[])).
% 47.61/30.06 tff(3151,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19) | v124(constB19, bitIndex0)),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3150, 3149])).
% 47.61/30.06 tff(3152,plain,
% 47.61/30.06 (v116(constB19) | v113(constB19) | v124(constB19, bitIndex0)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3151, 1374, 2995, 3145, 3144, 2735])).
% 47.61/30.06 tff(3153,plain,
% 47.61/30.06 ($false),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3152, 3143, 3139, 3134])).
% 47.61/30.06 tff(3154,plain,(v84(constB20, bitIndex2) | v145(constB19) | v172(constB19) | v118(constB19) | v115(constB19) | (~v94(constB20)) | v84(constB21, bitIndex1) | v145(constB21)), inference(lemma,lemma(discharge,[]))).
% 47.61/30.06 tff(3155,plain,
% 47.61/30.06 (v145(constB21)),
% 47.61/30.06 inference(unit_resolution,[status(thm)],[3154, 2993, 3106, 3121, 3080, 3059, 2930, 3110])).
% 47.61/30.06 tff(3156,plain,
% 47.61/30.06 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ((~v145(VarCurr)) | v84(VarCurr, bitIndex0)))),
% 47.61/30.06 inference(bind,[status(th)],[])).
% 47.61/30.06 tff(3157,plain,
% 47.61/30.06 (![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))),
% 47.61/30.06 inference(quant_intro,[status(thm)],[3156])).
% 47.61/30.06 tff(3158,plain,
% 47.61/30.06 (![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3159,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_2')).
% 47.61/30.06 tff(3160,plain,
% 47.61/30.06 (![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3159, 3158])).
% 47.61/30.06 tff(3161,plain,(
% 47.61/30.06 ![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))),
% 47.61/30.06 inference(skolemize,[status(sab)],[3160])).
% 47.61/30.06 tff(3162,plain,
% 47.61/30.06 (![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))),
% 47.61/30.06 inference(modus_ponens,[status(thm)],[3161, 3157])).
% 47.61/30.06 tff(3163,plain,
% 47.61/30.06 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB21)) | v84(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB21)) | v84(constB21, bitIndex0))),
% 47.61/30.06 inference(rewrite,[status(thm)],[])).
% 47.61/30.06 tff(3164,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB21)) | v84(constB21, bitIndex0))),
% 47.61/30.06 inference(quant_inst,[status(thm)],[])).
% 47.61/30.06 tff(3165,plain,
% 47.61/30.06 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB21)) | v84(constB21, bitIndex0)),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3164, 3163])).
% 47.61/30.07 tff(3166,plain,
% 47.61/30.07 (v84(constB21, bitIndex0)),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3165, 3162, 3155])).
% 47.61/30.07 tff(3167,plain,
% 47.61/30.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3168,plain,
% 47.61/30.07 (((~nextState(constB20, constB21)) | v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0))) <=> (v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3169,plain,
% 47.61/30.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0))))),
% 47.61/30.07 inference(monotonicity,[status(thm)],[3168])).
% 47.61/30.07 tff(3170,plain,
% 47.61/30.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0)))),
% 47.61/30.07 inference(transitivity,[status(thm)],[3169, 3167])).
% 47.61/30.07 tff(3171,plain,
% 47.61/30.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0)))),
% 47.61/30.07 inference(quant_inst,[status(thm)],[])).
% 47.61/30.07 tff(3172,plain,
% 47.61/30.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3171, 3170])).
% 47.61/30.07 tff(3173,plain,
% 47.61/30.07 (v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0))),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3172, 184, 2877])).
% 47.61/30.07 tff(3174,plain,
% 47.61/30.07 (v84(constB20, bitIndex0) | (~v84(constB21, bitIndex0))),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3173, 2889])).
% 47.61/30.07 tff(3175,plain,
% 47.61/30.07 (v84(constB20, bitIndex0)),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3174, 3166])).
% 47.61/30.07 tff(3176,assumption,(~v124(constB19, bitIndex1)), introduced(assumption)).
% 47.61/30.07 tff(3177,plain,
% 47.61/30.07 (~v145(constB19)),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3109, 1512, 3176])).
% 47.61/30.07 tff(3178,plain,
% 47.61/30.07 (v94(constB20)),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3009, 3177, 2994, 2993, 2945])).
% 47.61/30.07 tff(3179,assumption,(v84(constB20, bitIndex0)), introduced(assumption)).
% 47.61/30.07 tff(3180,plain,
% 47.61/30.07 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3181,plain,
% 47.61/30.07 (((~v84(constB20, bitIndex0)) | (~v94(constB20)) | v123(constB20, bitIndex0)) <=> ((~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3182,plain,
% 47.61/30.07 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~v94(constB20)) | v123(constB20, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20))))),
% 47.61/30.07 inference(monotonicity,[status(thm)],[3181])).
% 47.61/30.07 tff(3183,plain,
% 47.61/30.07 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~v94(constB20)) | v123(constB20, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20)))),
% 47.61/30.07 inference(transitivity,[status(thm)],[3182, 3180])).
% 47.61/30.07 tff(3184,plain,
% 47.61/30.07 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~v94(constB20)) | v123(constB20, bitIndex0))),
% 47.61/30.07 inference(quant_inst,[status(thm)],[])).
% 47.61/30.07 tff(3185,plain,
% 47.61/30.07 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 47.61/30.07 tff(3186,plain,
% 47.61/30.07 (v123(constB20, bitIndex0) | (~v94(constB20))),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3185, 652, 3179])).
% 47.61/30.07 tff(3187,plain,
% 47.61/30.07 (v123(constB20, bitIndex0)),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3186, 3178])).
% 47.61/30.07 tff(3188,plain,
% 47.61/30.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3189,plain,
% 47.61/30.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0)))),
% 47.61/30.07 inference(quant_inst,[status(thm)],[])).
% 47.61/30.07 tff(3190,plain,
% 47.61/30.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3189, 3188])).
% 47.61/30.07 tff(3191,plain,
% 47.61/30.07 (v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0))),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3190, 637, 2811])).
% 47.61/30.07 tff(3192,plain,
% 47.61/30.07 (v121(constB19, bitIndex0)),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3191, 3187])).
% 47.61/30.07 tff(3193,assumption,(~v26(constB19)), introduced(assumption)).
% 47.61/30.07 tff(3194,plain,
% 47.61/30.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3195,plain,
% 47.61/30.07 ((v26(constB19) | v124(constB19, bitIndex0) | (~v121(constB19, bitIndex0))) <=> ((~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3196,plain,
% 47.61/30.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB19) | v124(constB19, bitIndex0) | (~v121(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0)))),
% 47.61/30.07 inference(monotonicity,[status(thm)],[3195])).
% 47.61/30.07 tff(3197,plain,
% 47.61/30.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB19) | v124(constB19, bitIndex0) | (~v121(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0))),
% 47.61/30.07 inference(transitivity,[status(thm)],[3196, 3194])).
% 47.61/30.07 tff(3198,plain,
% 47.61/30.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB19) | v124(constB19, bitIndex0) | (~v121(constB19, bitIndex0)))),
% 47.61/30.07 inference(quant_inst,[status(thm)],[])).
% 47.61/30.07 tff(3199,plain,
% 47.61/30.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0)),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3198, 3197])).
% 47.61/30.07 tff(3200,plain,
% 47.61/30.07 ((~v121(constB19, bitIndex0)) | v124(constB19, bitIndex0)),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3199, 607, 3193])).
% 47.61/30.07 tff(3201,plain,
% 47.61/30.07 (v124(constB19, bitIndex0)),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3200, 3192])).
% 47.61/30.07 tff(3202,plain,
% 47.61/30.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB19)) | (~v124(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB19)) | (~v124(constB19, bitIndex0)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3203,plain,
% 47.61/30.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB19)) | (~v124(constB19, bitIndex0)))),
% 47.61/30.07 inference(quant_inst,[status(thm)],[])).
% 47.61/30.07 tff(3204,plain,
% 47.61/30.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB19)) | (~v124(constB19, bitIndex0))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3203, 3202])).
% 47.61/30.07 tff(3205,plain,
% 47.61/30.07 (~v116(constB19)),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3204, 2020, 3201])).
% 47.61/30.07 tff(3206,plain,
% 47.61/30.07 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0))))),
% 47.61/30.07 inference(bind,[status(th)],[])).
% 47.61/30.07 tff(3207,plain,
% 47.61/30.07 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.07 inference(quant_intro,[status(thm)],[3206])).
% 47.61/30.07 tff(3208,plain,
% 47.61/30.07 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3209,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 47.61/30.07 tff(3210,plain,
% 47.61/30.07 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3209, 3208])).
% 47.61/30.07 tff(3211,plain,(
% 47.61/30.07 ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.07 inference(skolemize,[status(sab)],[3210])).
% 47.61/30.07 tff(3212,plain,
% 47.61/30.07 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3211, 3207])).
% 47.61/30.07 tff(3213,plain,
% 47.61/30.07 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB19)) | (~v84(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB19)) | (~v84(constB19, bitIndex0)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3214,plain,
% 47.61/30.07 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB19)) | (~v84(constB19, bitIndex0)))),
% 47.61/30.07 inference(quant_inst,[status(thm)],[])).
% 47.61/30.07 tff(3215,plain,
% 47.61/30.07 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB19)) | (~v84(constB19, bitIndex0))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3214, 3213])).
% 47.61/30.07 tff(3216,plain,
% 47.61/30.07 (~v113(constB19)),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3215, 3212, 2994])).
% 47.61/30.07 tff(3217,plain,
% 47.61/30.07 (^[VarCurr: state_type] : refl((v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr))) <=> (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr))))),
% 47.61/30.07 inference(bind,[status(th)],[])).
% 47.61/30.07 tff(3218,plain,
% 47.61/30.07 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 47.61/30.07 inference(quant_intro,[status(thm)],[3217])).
% 47.61/30.07 tff(3219,plain,
% 47.61/30.07 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3220,plain,
% 47.61/30.07 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v112(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | (~v112(VarCurr)))), ((((~v112(VarCurr)) | v113(VarCurr)) | v145(VarCurr)) <=> ((v113(VarCurr) | (~v112(VarCurr))) | v145(VarCurr)))), rewrite(((v113(VarCurr) | (~v112(VarCurr))) | v145(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))), ((((~v112(VarCurr)) | v113(VarCurr)) | v145(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))))),
% 47.61/30.07 inference(bind,[status(th)],[])).
% 47.61/30.07 tff(3221,plain,
% 47.61/30.07 (![VarCurr: state_type] : (((~v112(VarCurr)) | v113(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 47.61/30.07 inference(quant_intro,[status(thm)],[3220])).
% 47.61/30.07 tff(3222,axiom,(![VarCurr: state_type] : (((~v112(VarCurr)) | v113(VarCurr)) | v145(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1_3')).
% 47.61/30.07 tff(3223,plain,
% 47.61/30.07 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3222, 3221])).
% 47.61/30.07 tff(3224,plain,
% 47.61/30.07 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3223, 3219])).
% 47.61/30.07 tff(3225,plain,(
% 47.61/30.07 ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 47.61/30.07 inference(skolemize,[status(sab)],[3224])).
% 47.61/30.07 tff(3226,plain,
% 47.61/30.07 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3225, 3218])).
% 47.61/30.07 tff(3227,plain,
% 47.61/30.07 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))) | (v113(constB19) | v145(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))) | v113(constB19) | v145(constB19) | (~v112(constB19)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3228,plain,
% 47.61/30.07 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))) | (v113(constB19) | v145(constB19) | (~v112(constB19)))),
% 47.61/30.07 inference(quant_inst,[status(thm)],[])).
% 47.61/30.07 tff(3229,plain,
% 47.61/30.07 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))) | v113(constB19) | v145(constB19) | (~v112(constB19))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3228, 3227])).
% 47.61/30.07 tff(3230,plain,
% 47.61/30.07 (v145(constB19) | (~v112(constB19))),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3229, 3226, 3216])).
% 47.61/30.07 tff(3231,plain,
% 47.61/30.07 (~v112(constB19)),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3230, 3177])).
% 47.61/30.07 tff(3232,plain,
% 47.61/30.07 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0))))),
% 47.61/30.07 inference(bind,[status(th)],[])).
% 47.61/30.07 tff(3233,plain,
% 47.61/30.07 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.07 inference(quant_intro,[status(thm)],[3232])).
% 47.61/30.07 tff(3234,plain,
% 47.61/30.07 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3235,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 47.61/30.07 tff(3236,plain,
% 47.61/30.07 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 47.61/30.07 tff(3237,plain,(
% 47.61/30.07 ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.07 inference(skolemize,[status(sab)],[3236])).
% 47.61/30.07 tff(3238,plain,
% 47.61/30.07 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3237, 3233])).
% 47.61/30.07 tff(3239,plain,
% 47.61/30.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB19)) | (~v84(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB19)) | (~v84(constB19, bitIndex0)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3240,plain,
% 47.61/30.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB19)) | (~v84(constB19, bitIndex0)))),
% 47.61/30.07 inference(quant_inst,[status(thm)],[])).
% 47.61/30.07 tff(3241,plain,
% 47.61/30.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB19)) | (~v84(constB19, bitIndex0))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3240, 3239])).
% 47.61/30.07 tff(3242,plain,
% 47.61/30.07 (~v115(constB19)),
% 47.61/30.07 inference(unit_resolution,[status(thm)],[3241, 3238, 2994])).
% 47.61/30.07 tff(3243,plain,
% 47.61/30.07 (^[VarCurr: state_type] : refl((v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))) <=> (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))))),
% 47.61/30.07 inference(bind,[status(th)],[])).
% 47.61/30.07 tff(3244,plain,
% 47.61/30.07 (![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 47.61/30.07 inference(quant_intro,[status(thm)],[3243])).
% 47.61/30.07 tff(3245,plain,
% 47.61/30.07 (![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 47.61/30.07 inference(rewrite,[status(thm)],[])).
% 47.61/30.07 tff(3246,plain,
% 47.61/30.07 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v111(VarCurr)) | v112(VarCurr)) <=> (v112(VarCurr) | (~v111(VarCurr)))), ((((~v111(VarCurr)) | v112(VarCurr)) | v115(VarCurr)) <=> ((v112(VarCurr) | (~v111(VarCurr))) | v115(VarCurr)))), rewrite(((v112(VarCurr) | (~v111(VarCurr))) | v115(VarCurr)) <=> (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))), ((((~v111(VarCurr)) | v112(VarCurr)) | v115(VarCurr)) <=> (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))))),
% 47.61/30.07 inference(bind,[status(th)],[])).
% 47.61/30.07 tff(3247,plain,
% 47.61/30.07 (![VarCurr: state_type] : (((~v111(VarCurr)) | v112(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 47.61/30.07 inference(quant_intro,[status(thm)],[3246])).
% 47.61/30.07 tff(3248,axiom,(![VarCurr: state_type] : (((~v111(VarCurr)) | v112(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_3')).
% 47.61/30.07 tff(3249,plain,
% 47.61/30.07 (![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3248, 3247])).
% 47.61/30.07 tff(3250,plain,
% 47.61/30.07 (![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3249, 3245])).
% 47.61/30.07 tff(3251,plain,(
% 47.61/30.07 ![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 47.61/30.07 inference(skolemize,[status(sab)],[3250])).
% 47.61/30.07 tff(3252,plain,
% 47.61/30.07 (![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 47.61/30.07 inference(modus_ponens,[status(thm)],[3251, 3244])).
% 47.61/30.07 tff(3253,plain,
% 47.61/30.07 (((~![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB19) | v115(constB19) | (~v111(constB19)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB19) | v115(constB19) | (~v111(constB19)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3254,plain,
% 47.61/30.08 ((~![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB19) | v115(constB19) | (~v111(constB19)))),
% 47.61/30.08 inference(quant_inst,[status(thm)],[])).
% 47.61/30.08 tff(3255,plain,
% 47.61/30.08 ((~![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB19) | v115(constB19) | (~v111(constB19))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3254, 3253])).
% 47.61/30.08 tff(3256,plain,
% 47.61/30.08 (v112(constB19) | (~v111(constB19))),
% 47.61/30.08 inference(unit_resolution,[status(thm)],[3255, 3252, 3242])).
% 47.61/30.08 tff(3257,plain,
% 47.61/30.08 (~v111(constB19)),
% 47.61/30.08 inference(unit_resolution,[status(thm)],[3256, 3231])).
% 47.61/30.08 tff(3258,plain,
% 47.61/30.08 (^[VarCurr: state_type] : refl((v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))) <=> (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3259,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3258])).
% 47.61/30.08 tff(3260,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3261,plain,
% 47.61/30.08 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v110(VarCurr)) | v111(VarCurr)) <=> (v111(VarCurr) | (~v110(VarCurr)))), ((((~v110(VarCurr)) | v111(VarCurr)) | v116(VarCurr)) <=> ((v111(VarCurr) | (~v110(VarCurr))) | v116(VarCurr)))), rewrite(((v111(VarCurr) | (~v110(VarCurr))) | v116(VarCurr)) <=> (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))), ((((~v110(VarCurr)) | v111(VarCurr)) | v116(VarCurr)) <=> (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3262,plain,
% 47.61/30.08 (![VarCurr: state_type] : (((~v110(VarCurr)) | v111(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3261])).
% 47.61/30.08 tff(3263,axiom,(![VarCurr: state_type] : (((~v110(VarCurr)) | v111(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_3')).
% 47.61/30.08 tff(3264,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3263, 3262])).
% 47.61/30.08 tff(3265,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3264, 3260])).
% 47.61/30.08 tff(3266,plain,(
% 47.61/30.08 ![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 47.61/30.08 inference(skolemize,[status(sab)],[3265])).
% 47.61/30.08 tff(3267,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3266, 3259])).
% 47.61/30.08 tff(3268,plain,
% 47.61/30.08 (((~![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB19) | v116(constB19) | (~v110(constB19)))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB19) | v116(constB19) | (~v110(constB19)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3269,plain,
% 47.61/30.08 ((~![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB19) | v116(constB19) | (~v110(constB19)))),
% 47.61/30.08 inference(quant_inst,[status(thm)],[])).
% 47.61/30.08 tff(3270,plain,
% 47.61/30.08 ((~![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB19) | v116(constB19) | (~v110(constB19))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3269, 3268])).
% 47.61/30.08 tff(3271,plain,
% 47.61/30.08 (v116(constB19) | (~v110(constB19))),
% 47.61/30.08 inference(unit_resolution,[status(thm)],[3270, 3267, 3257])).
% 47.61/30.08 tff(3272,plain,
% 47.61/30.08 (~v110(constB19)),
% 47.61/30.08 inference(unit_resolution,[status(thm)],[3271, 3205])).
% 47.61/30.08 tff(3273,plain,
% 47.61/30.08 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3274,plain,
% 47.61/30.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3273])).
% 47.61/30.08 tff(3275,plain,
% 47.61/30.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3276,plain,
% 47.61/30.08 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v94(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v104(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v104(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3277,plain,
% 47.61/30.08 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3276])).
% 47.61/30.08 tff(3278,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v104(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 47.61/30.08 tff(3279,plain,
% 47.61/30.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3278, 3277])).
% 47.61/30.08 tff(3280,plain,
% 47.61/30.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3279, 3275])).
% 47.61/30.08 tff(3281,plain,(
% 47.61/30.08 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 47.61/30.08 inference(skolemize,[status(sab)],[3280])).
% 47.61/30.08 tff(3282,plain,
% 47.61/30.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3281, 3274])).
% 47.61/30.08 tff(3283,plain,
% 47.61/30.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB19, constB20)) | v104(constB20) | (~v94(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v94(constB20)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3284,plain,
% 47.61/30.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB19, constB20)) | v104(constB20) | (~v94(constB20)))),
% 47.61/30.08 inference(quant_inst,[status(thm)],[])).
% 47.61/30.08 tff(3285,plain,
% 47.61/30.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v94(constB20))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3284, 3283])).
% 47.61/30.08 tff(3286,plain,
% 47.61/30.08 (v104(constB20) | (~v94(constB20))),
% 47.61/30.08 inference(unit_resolution,[status(thm)],[3285, 3282, 2811])).
% 47.61/30.08 tff(3287,plain,
% 47.61/30.08 (v104(constB20)),
% 47.61/30.08 inference(unit_resolution,[status(thm)],[3286, 3178])).
% 47.61/30.08 tff(3288,plain,
% 47.61/30.08 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3289,plain,
% 47.61/30.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3288])).
% 47.61/30.08 tff(3290,plain,
% 47.61/30.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3291,plain,
% 47.61/30.08 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v102(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v102(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v102(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v102(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3292,plain,
% 47.61/30.08 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v102(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3291])).
% 47.61/30.08 tff(3293,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v102(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 47.61/30.08 tff(3294,plain,
% 47.61/30.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3293, 3292])).
% 47.61/30.08 tff(3295,plain,
% 47.61/30.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3294, 3290])).
% 47.61/30.08 tff(3296,plain,(
% 47.61/30.08 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 47.61/30.08 inference(skolemize,[status(sab)],[3295])).
% 47.61/30.08 tff(3297,plain,
% 47.61/30.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3296, 3289])).
% 47.61/30.08 tff(3298,plain,
% 47.61/30.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB19, constB20)) | (~v104(constB20)) | v102(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB19, constB20)) | (~v104(constB20)) | v102(constB19))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3299,plain,
% 47.61/30.08 (((~nextState(constB19, constB20)) | v102(constB19) | (~v104(constB20))) <=> ((~nextState(constB19, constB20)) | (~v104(constB20)) | v102(constB19))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3300,plain,
% 47.61/30.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB19, constB20)) | v102(constB19) | (~v104(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB19, constB20)) | (~v104(constB20)) | v102(constB19)))),
% 47.61/30.08 inference(monotonicity,[status(thm)],[3299])).
% 47.61/30.08 tff(3301,plain,
% 47.61/30.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB19, constB20)) | v102(constB19) | (~v104(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB19, constB20)) | (~v104(constB20)) | v102(constB19))),
% 47.61/30.08 inference(transitivity,[status(thm)],[3300, 3298])).
% 47.61/30.08 tff(3302,plain,
% 47.61/30.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB19, constB20)) | v102(constB19) | (~v104(constB20)))),
% 47.61/30.08 inference(quant_inst,[status(thm)],[])).
% 47.61/30.08 tff(3303,plain,
% 47.61/30.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB19, constB20)) | (~v104(constB20)) | v102(constB19)),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3302, 3301])).
% 47.61/30.08 tff(3304,plain,
% 47.61/30.08 ((~v104(constB20)) | v102(constB19)),
% 47.61/30.08 inference(unit_resolution,[status(thm)],[3303, 3297, 2811])).
% 47.61/30.08 tff(3305,plain,
% 47.61/30.08 (v102(constB19)),
% 47.61/30.08 inference(unit_resolution,[status(thm)],[3304, 3287])).
% 47.61/30.08 tff(3306,plain,
% 47.61/30.08 (^[VarCurr: state_type] : refl((v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))) <=> (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3307,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3306])).
% 47.61/30.08 tff(3308,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3309,plain,
% 47.61/30.08 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v102(VarCurr)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v102(VarCurr)))), ((((~v102(VarCurr)) | v26(VarCurr)) | v106(VarCurr)) <=> ((v26(VarCurr) | (~v102(VarCurr))) | v106(VarCurr)))), rewrite(((v26(VarCurr) | (~v102(VarCurr))) | v106(VarCurr)) <=> (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))), ((((~v102(VarCurr)) | v26(VarCurr)) | v106(VarCurr)) <=> (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3310,plain,
% 47.61/30.08 (![VarCurr: state_type] : (((~v102(VarCurr)) | v26(VarCurr)) | v106(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3309])).
% 47.61/30.08 tff(3311,axiom,(![VarCurr: state_type] : (((~v102(VarCurr)) | v26(VarCurr)) | v106(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_3')).
% 47.61/30.08 tff(3312,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3311, 3310])).
% 47.61/30.08 tff(3313,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3312, 3308])).
% 47.61/30.08 tff(3314,plain,(
% 47.61/30.08 ![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 47.61/30.08 inference(skolemize,[status(sab)],[3313])).
% 47.61/30.08 tff(3315,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3314, 3307])).
% 47.61/30.08 tff(3316,plain,
% 47.61/30.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB19)) | v26(constB19) | v106(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB19)) | v26(constB19) | v106(constB19))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3317,plain,
% 47.61/30.08 ((v26(constB19) | v106(constB19) | (~v102(constB19))) <=> ((~v102(constB19)) | v26(constB19) | v106(constB19))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3318,plain,
% 47.61/30.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB19) | v106(constB19) | (~v102(constB19)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB19)) | v26(constB19) | v106(constB19)))),
% 47.61/30.08 inference(monotonicity,[status(thm)],[3317])).
% 47.61/30.08 tff(3319,plain,
% 47.61/30.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB19) | v106(constB19) | (~v102(constB19)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB19)) | v26(constB19) | v106(constB19))),
% 47.61/30.08 inference(transitivity,[status(thm)],[3318, 3316])).
% 47.61/30.08 tff(3320,plain,
% 47.61/30.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB19) | v106(constB19) | (~v102(constB19)))),
% 47.61/30.08 inference(quant_inst,[status(thm)],[])).
% 47.61/30.08 tff(3321,plain,
% 47.61/30.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB19)) | v26(constB19) | v106(constB19)),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 47.61/30.08 tff(3322,plain,
% 47.61/30.08 ((~v102(constB19)) | v106(constB19)),
% 47.61/30.08 inference(unit_resolution,[status(thm)],[3321, 3315, 3193])).
% 47.61/30.08 tff(3323,plain,
% 47.61/30.08 (v106(constB19)),
% 47.61/30.08 inference(unit_resolution,[status(thm)],[3322, 3305])).
% 47.61/30.08 tff(3324,plain,
% 47.61/30.08 (^[VarCurr: state_type] : refl((v107(VarCurr) | (~v106(VarCurr))) <=> (v107(VarCurr) | (~v106(VarCurr))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3325,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3324])).
% 47.61/30.08 tff(3326,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3327,plain,
% 47.61/30.08 (^[VarCurr: state_type] : rewrite(((~v106(VarCurr)) | v107(VarCurr)) <=> (v107(VarCurr) | (~v106(VarCurr))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3328,plain,
% 47.61/30.08 (![VarCurr: state_type] : ((~v106(VarCurr)) | v107(VarCurr)) <=> ![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3327])).
% 47.61/30.08 tff(3329,axiom,(![VarCurr: state_type] : ((~v106(VarCurr)) | v107(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_2')).
% 47.61/30.08 tff(3330,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 47.61/30.08 tff(3331,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3330, 3326])).
% 47.61/30.08 tff(3332,plain,(
% 47.61/30.08 ![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 47.61/30.08 inference(skolemize,[status(sab)],[3331])).
% 47.61/30.08 tff(3333,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3332, 3325])).
% 47.61/30.08 tff(3334,plain,
% 47.61/30.08 (((~![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB19) | (~v106(constB19)))) <=> ((~![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB19) | (~v106(constB19)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3335,plain,
% 47.61/30.08 ((~![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB19) | (~v106(constB19)))),
% 47.61/30.08 inference(quant_inst,[status(thm)],[])).
% 47.61/30.08 tff(3336,plain,
% 47.61/30.08 ((~![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB19) | (~v106(constB19))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3335, 3334])).
% 47.61/30.08 tff(3337,plain,
% 47.61/30.08 (v107(constB19)),
% 47.61/30.08 inference(unit_resolution,[status(thm)],[3336, 3333, 3323])).
% 47.61/30.08 tff(3338,plain,
% 47.61/30.08 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3339,plain,
% 47.61/30.08 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3338])).
% 47.61/30.08 tff(3340,plain,
% 47.61/30.08 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3341,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_4')).
% 47.61/30.08 tff(3342,plain,
% 47.61/30.08 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3341, 3340])).
% 47.61/30.08 tff(3343,plain,(
% 47.61/30.08 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.08 inference(skolemize,[status(sab)],[3342])).
% 47.61/30.08 tff(3344,plain,
% 47.61/30.08 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3343, 3339])).
% 47.61/30.08 tff(3345,plain,
% 47.61/30.08 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v119(constB19)) | (~v84(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v119(constB19)) | (~v84(constB19, bitIndex0)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3346,plain,
% 47.61/30.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v119(constB19)) | (~v84(constB19, bitIndex0)))),
% 47.61/30.08 inference(quant_inst,[status(thm)],[])).
% 47.61/30.08 tff(3347,plain,
% 47.61/30.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v119(constB19)) | (~v84(constB19, bitIndex0))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3346, 3345])).
% 47.61/30.08 tff(3348,plain,
% 47.61/30.08 (~v119(constB19)),
% 47.61/30.08 inference(unit_resolution,[status(thm)],[3347, 3344, 2994])).
% 47.61/30.08 tff(3349,plain,
% 47.61/30.08 (^[VarCurr: state_type] : refl((v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))) <=> (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3350,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))) <=> ![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3349])).
% 47.61/30.08 tff(3351,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))) <=> ![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3352,plain,
% 47.61/30.08 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v107(VarCurr)) | v108(VarCurr)) <=> (v108(VarCurr) | (~v107(VarCurr)))), ((((~v107(VarCurr)) | v108(VarCurr)) | v119(VarCurr)) <=> ((v108(VarCurr) | (~v107(VarCurr))) | v119(VarCurr)))), rewrite(((v108(VarCurr) | (~v107(VarCurr))) | v119(VarCurr)) <=> (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))), ((((~v107(VarCurr)) | v108(VarCurr)) | v119(VarCurr)) <=> (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))))),
% 47.61/30.08 inference(bind,[status(th)],[])).
% 47.61/30.08 tff(3353,plain,
% 47.61/30.08 (![VarCurr: state_type] : (((~v107(VarCurr)) | v108(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 47.61/30.08 inference(quant_intro,[status(thm)],[3352])).
% 47.61/30.08 tff(3354,axiom,(![VarCurr: state_type] : (((~v107(VarCurr)) | v108(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_3')).
% 47.61/30.08 tff(3355,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3354, 3353])).
% 47.61/30.08 tff(3356,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3355, 3351])).
% 47.61/30.08 tff(3357,plain,(
% 47.61/30.08 ![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 47.61/30.08 inference(skolemize,[status(sab)],[3356])).
% 47.61/30.08 tff(3358,plain,
% 47.61/30.08 (![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 47.61/30.08 inference(modus_ponens,[status(thm)],[3357, 3350])).
% 47.61/30.08 tff(3359,plain,
% 47.61/30.08 (((~![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB19) | v119(constB19) | (~v107(constB19)))) <=> ((~![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB19) | v119(constB19) | (~v107(constB19)))),
% 47.61/30.08 inference(rewrite,[status(thm)],[])).
% 47.61/30.08 tff(3360,plain,
% 47.61/30.08 ((~![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB19) | v119(constB19) | (~v107(constB19)))),
% 47.61/30.08 inference(quant_inst,[status(thm)],[])).
% 47.61/30.09 tff(3361,plain,
% 47.61/30.09 ((~![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB19) | v119(constB19) | (~v107(constB19))),
% 47.61/30.09 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 47.61/30.09 tff(3362,plain,
% 47.61/30.09 (v108(constB19) | (~v107(constB19))),
% 47.61/30.09 inference(unit_resolution,[status(thm)],[3361, 3358, 3348])).
% 47.61/30.09 tff(3363,plain,
% 47.61/30.09 (v108(constB19)),
% 47.61/30.09 inference(unit_resolution,[status(thm)],[3362, 3337])).
% 47.61/30.09 tff(3364,plain,
% 47.61/30.09 (~v118(constB19)),
% 47.61/30.09 inference(unit_resolution,[status(thm)],[3120, 3117, 3176])).
% 47.61/30.09 tff(3365,plain,
% 47.61/30.09 (^[VarCurr: state_type] : refl((v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))) <=> (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))))),
% 47.61/30.09 inference(bind,[status(th)],[])).
% 47.61/30.09 tff(3366,plain,
% 47.61/30.09 (![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 47.61/30.09 inference(quant_intro,[status(thm)],[3365])).
% 47.61/30.09 tff(3367,plain,
% 47.61/30.09 (![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 47.61/30.09 inference(rewrite,[status(thm)],[])).
% 47.61/30.09 tff(3368,plain,
% 47.61/30.09 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v108(VarCurr)) | v109(VarCurr)) <=> (v109(VarCurr) | (~v108(VarCurr)))), ((((~v108(VarCurr)) | v109(VarCurr)) | v118(VarCurr)) <=> ((v109(VarCurr) | (~v108(VarCurr))) | v118(VarCurr)))), rewrite(((v109(VarCurr) | (~v108(VarCurr))) | v118(VarCurr)) <=> (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))), ((((~v108(VarCurr)) | v109(VarCurr)) | v118(VarCurr)) <=> (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))))),
% 47.61/30.09 inference(bind,[status(th)],[])).
% 47.61/30.09 tff(3369,plain,
% 47.61/30.09 (![VarCurr: state_type] : (((~v108(VarCurr)) | v109(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 47.61/30.09 inference(quant_intro,[status(thm)],[3368])).
% 47.61/30.09 tff(3370,axiom,(![VarCurr: state_type] : (((~v108(VarCurr)) | v109(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_3')).
% 47.61/30.09 tff(3371,plain,
% 47.61/30.09 (![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 47.61/30.09 inference(modus_ponens,[status(thm)],[3370, 3369])).
% 47.61/30.09 tff(3372,plain,
% 47.61/30.09 (![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 47.61/30.09 inference(modus_ponens,[status(thm)],[3371, 3367])).
% 47.61/30.09 tff(3373,plain,(
% 47.61/30.09 ![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 47.61/30.09 inference(skolemize,[status(sab)],[3372])).
% 47.61/30.09 tff(3374,plain,
% 47.61/30.09 (![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 47.61/30.09 inference(modus_ponens,[status(thm)],[3373, 3366])).
% 47.61/30.09 tff(3375,plain,
% 47.61/30.09 (((~![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB19) | v118(constB19) | (~v108(constB19)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB19) | v118(constB19) | (~v108(constB19)))),
% 47.61/30.09 inference(rewrite,[status(thm)],[])).
% 47.61/30.09 tff(3376,plain,
% 47.61/30.09 ((~![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB19) | v118(constB19) | (~v108(constB19)))),
% 47.61/30.09 inference(quant_inst,[status(thm)],[])).
% 47.61/30.09 tff(3377,plain,
% 47.61/30.09 ((~![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB19) | v118(constB19) | (~v108(constB19))),
% 47.61/30.09 inference(modus_ponens,[status(thm)],[3376, 3375])).
% 47.61/30.09 tff(3378,plain,
% 47.61/30.09 (v109(constB19) | (~v108(constB19))),
% 47.61/30.09 inference(unit_resolution,[status(thm)],[3377, 3374, 3364])).
% 47.61/30.09 tff(3379,plain,
% 47.61/30.09 (v109(constB19)),
% 47.61/30.09 inference(unit_resolution,[status(thm)],[3378, 3363])).
% 47.61/30.09 tff(3380,plain,
% 47.61/30.09 (^[VarCurr: state_type] : refl(((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0))))),
% 47.61/30.09 inference(bind,[status(th)],[])).
% 47.61/30.09 tff(3381,plain,
% 47.61/30.09 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.09 inference(quant_intro,[status(thm)],[3380])).
% 47.61/30.09 tff(3382,plain,
% 47.61/30.09 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.09 inference(rewrite,[status(thm)],[])).
% 47.61/30.09 tff(3383,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 47.61/30.09 tff(3384,plain,
% 47.61/30.09 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.09 inference(modus_ponens,[status(thm)],[3383, 3382])).
% 47.61/30.09 tff(3385,plain,(
% 47.61/30.09 ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.09 inference(skolemize,[status(sab)],[3384])).
% 47.61/30.09 tff(3386,plain,
% 47.61/30.09 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 47.61/30.09 inference(modus_ponens,[status(thm)],[3385, 3381])).
% 47.61/30.09 tff(3387,plain,
% 47.61/30.09 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v172(constB19)) | (~v84(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v172(constB19)) | (~v84(constB19, bitIndex0)))),
% 47.61/30.09 inference(rewrite,[status(thm)],[])).
% 47.61/30.09 tff(3388,plain,
% 47.61/30.09 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v172(constB19)) | (~v84(constB19, bitIndex0)))),
% 47.61/30.09 inference(quant_inst,[status(thm)],[])).
% 47.61/30.09 tff(3389,plain,
% 47.61/30.09 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v172(constB19)) | (~v84(constB19, bitIndex0))),
% 47.61/30.09 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 47.61/30.09 tff(3390,plain,
% 47.61/30.09 (~v172(constB19)),
% 47.61/30.09 inference(unit_resolution,[status(thm)],[3389, 3386, 2994])).
% 47.61/30.09 tff(3391,plain,
% 47.61/30.09 (^[VarCurr: state_type] : refl((v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr))) <=> (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr))))),
% 47.61/30.09 inference(bind,[status(th)],[])).
% 47.61/30.09 tff(3392,plain,
% 47.61/30.09 (![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr))) <=> ![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 47.61/30.09 inference(quant_intro,[status(thm)],[3391])).
% 47.61/30.09 tff(3393,plain,
% 47.61/30.09 (![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr))) <=> ![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 47.61/30.09 inference(rewrite,[status(thm)],[])).
% 47.61/30.09 tff(3394,plain,
% 47.61/30.09 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v109(VarCurr)) | v110(VarCurr)) <=> (v110(VarCurr) | (~v109(VarCurr)))), ((((~v109(VarCurr)) | v110(VarCurr)) | v172(VarCurr)) <=> ((v110(VarCurr) | (~v109(VarCurr))) | v172(VarCurr)))), rewrite(((v110(VarCurr) | (~v109(VarCurr))) | v172(VarCurr)) <=> (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))), ((((~v109(VarCurr)) | v110(VarCurr)) | v172(VarCurr)) <=> (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))))),
% 47.61/30.09 inference(bind,[status(th)],[])).
% 47.61/30.09 tff(3395,plain,
% 47.61/30.09 (![VarCurr: state_type] : (((~v109(VarCurr)) | v110(VarCurr)) | v172(VarCurr)) <=> ![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 47.61/30.09 inference(quant_intro,[status(thm)],[3394])).
% 47.61/30.09 tff(3396,axiom,(![VarCurr: state_type] : (((~v109(VarCurr)) | v110(VarCurr)) | v172(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1_3')).
% 47.61/30.09 tff(3397,plain,
% 47.61/30.09 (![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 47.61/30.09 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 47.61/30.09 tff(3398,plain,
% 47.61/30.09 (![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 47.61/30.09 inference(modus_ponens,[status(thm)],[3397, 3393])).
% 47.61/30.09 tff(3399,plain,(
% 47.61/30.09 ![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 47.61/30.09 inference(skolemize,[status(sab)],[3398])).
% 47.61/30.09 tff(3400,plain,
% 47.61/30.09 (![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 47.61/30.09 inference(modus_ponens,[status(thm)],[3399, 3392])).
% 47.61/30.09 tff(3401,plain,
% 47.61/30.09 (((~![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))) | (v110(constB19) | v172(constB19) | (~v109(constB19)))) <=> ((~![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))) | v110(constB19) | v172(constB19) | (~v109(constB19)))),
% 47.64/30.09 inference(rewrite,[status(thm)],[])).
% 47.64/30.09 tff(3402,plain,
% 47.64/30.09 ((~![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))) | (v110(constB19) | v172(constB19) | (~v109(constB19)))),
% 47.64/30.09 inference(quant_inst,[status(thm)],[])).
% 47.64/30.09 tff(3403,plain,
% 47.64/30.09 ((~![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))) | v110(constB19) | v172(constB19) | (~v109(constB19))),
% 47.64/30.09 inference(modus_ponens,[status(thm)],[3402, 3401])).
% 47.64/30.09 tff(3404,plain,
% 47.64/30.09 (v110(constB19) | (~v109(constB19))),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[3403, 3400, 3390])).
% 47.64/30.09 tff(3405,plain,
% 47.64/30.09 ($false),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[3404, 3379, 3272])).
% 47.64/30.09 tff(3406,plain,(v124(constB19, bitIndex1) | v26(constB19) | (~v84(constB20, bitIndex0)) | (~v84(constB19, bitIndex0)) | v84(constB20, bitIndex2) | v84(constB20, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 47.64/30.09 tff(3407,plain,
% 47.64/30.09 (v124(constB19, bitIndex1) | (~v84(constB20, bitIndex0)) | (~v84(constB19, bitIndex0)) | v84(constB20, bitIndex2) | v84(constB20, bitIndex1)),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[3406, 2853])).
% 47.64/30.09 tff(3408,plain,
% 47.64/30.09 (~v84(constB19, bitIndex0)),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[3407, 3175, 2993, 2939, 3076])).
% 47.64/30.09 tff(3409,plain,
% 47.64/30.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0))),
% 47.64/30.09 inference(rewrite,[status(thm)],[])).
% 47.64/30.09 tff(3410,plain,
% 47.64/30.09 (((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0)) <=> ((~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0))),
% 47.64/30.09 inference(rewrite,[status(thm)],[])).
% 47.64/30.09 tff(3411,plain,
% 47.64/30.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0)))),
% 47.64/30.09 inference(monotonicity,[status(thm)],[3410])).
% 47.64/30.09 tff(3412,plain,
% 47.64/30.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0))),
% 47.64/30.09 inference(transitivity,[status(thm)],[3411, 3409])).
% 47.64/30.09 tff(3413,plain,
% 47.64/30.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0))),
% 47.64/30.09 inference(quant_inst,[status(thm)],[])).
% 47.64/30.09 tff(3414,plain,
% 47.64/30.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0)),
% 47.64/30.09 inference(modus_ponens,[status(thm)],[3413, 3412])).
% 47.64/30.09 tff(3415,plain,
% 47.64/30.09 ((~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0)),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[3414, 1439, 2662])).
% 47.64/30.09 tff(3416,plain,
% 47.64/30.09 ((~v84(constB18, bitIndex0)) | v84(constB19, bitIndex0)),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[3415, 2674])).
% 47.64/30.09 tff(3417,plain,
% 47.64/30.09 (~v84(constB18, bitIndex0)),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[3416, 2946])).
% 47.64/30.09 tff(3418,plain,
% 47.64/30.09 (~v84(constB18, bitIndex1)),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[2682, 2960])).
% 47.64/30.09 tff(3419,plain,
% 47.64/30.09 (v84(constB19, bitIndex1) | (~v84(constB19, bitIndex2)) | v172(constB19)),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[2963, 679, 2946])).
% 47.64/30.09 tff(3420,plain,
% 47.64/30.09 (~v84(constB19, bitIndex2)),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[3419, 2960, 3145])).
% 47.64/30.09 tff(3421,plain,
% 47.64/30.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB18, bitIndex2)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB18, bitIndex2)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex2))),
% 47.64/30.09 inference(rewrite,[status(thm)],[])).
% 47.64/30.09 tff(3422,plain,
% 47.64/30.09 (((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex2)) | v94(constB19) | v84(constB19, bitIndex2)) <=> ((~v84(constB18, bitIndex2)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex2))),
% 47.64/30.09 inference(rewrite,[status(thm)],[])).
% 47.64/30.09 tff(3423,plain,
% 47.64/30.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex2)) | v94(constB19) | v84(constB19, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB18, bitIndex2)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex2)))),
% 47.64/30.09 inference(monotonicity,[status(thm)],[3422])).
% 47.64/30.09 tff(3424,plain,
% 47.64/30.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex2)) | v94(constB19) | v84(constB19, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB18, bitIndex2)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex2))),
% 47.64/30.09 inference(transitivity,[status(thm)],[3423, 3421])).
% 47.64/30.09 tff(3425,plain,
% 47.64/30.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex2)) | v94(constB19) | v84(constB19, bitIndex2))),
% 47.64/30.09 inference(quant_inst,[status(thm)],[])).
% 47.64/30.09 tff(3426,plain,
% 47.64/30.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB18, bitIndex2)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex2)),
% 47.64/30.09 inference(modus_ponens,[status(thm)],[3425, 3424])).
% 47.64/30.09 tff(3427,plain,
% 47.64/30.09 ((~v84(constB18, bitIndex2)) | v94(constB19) | v84(constB19, bitIndex2)),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[3426, 576, 2662])).
% 47.64/30.09 tff(3428,plain,
% 47.64/30.09 ((~v84(constB18, bitIndex2)) | v84(constB19, bitIndex2)),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[3427, 2674])).
% 47.64/30.09 tff(3429,plain,
% 47.64/30.09 (~v84(constB18, bitIndex2)),
% 47.64/30.09 inference(unit_resolution,[status(thm)],[3428, 3420])).
% 47.64/30.09 tff(3430,assumption,(~v84(constB18, bitIndex2)), introduced(assumption)).
% 47.64/30.10 tff(3431,assumption,(~v94(constB18)), introduced(assumption)).
% 47.64/30.10 tff(3432,plain,
% 47.64/30.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex2))),
% 47.64/30.10 inference(rewrite,[status(thm)],[])).
% 47.64/30.10 tff(3433,plain,
% 47.64/30.10 (((~nextState(constB17, constB18)) | (~v84(constB17, bitIndex2)) | v94(constB18) | v84(constB18, bitIndex2)) <=> ((~v84(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex2))),
% 47.64/30.10 inference(rewrite,[status(thm)],[])).
% 47.64/30.10 tff(3434,plain,
% 47.64/30.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB17, constB18)) | (~v84(constB17, bitIndex2)) | v94(constB18) | v84(constB18, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex2)))),
% 47.64/30.10 inference(monotonicity,[status(thm)],[3433])).
% 47.64/30.10 tff(3435,plain,
% 47.64/30.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB17, constB18)) | (~v84(constB17, bitIndex2)) | v94(constB18) | v84(constB18, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex2))),
% 47.64/30.10 inference(transitivity,[status(thm)],[3434, 3432])).
% 47.64/30.10 tff(3436,plain,
% 47.64/30.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB17, constB18)) | (~v84(constB17, bitIndex2)) | v94(constB18) | v84(constB18, bitIndex2))),
% 47.64/30.10 inference(quant_inst,[status(thm)],[])).
% 47.64/30.10 tff(3437,plain,
% 47.64/30.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex2)),
% 47.64/30.10 inference(modus_ponens,[status(thm)],[3436, 3435])).
% 47.64/30.10 tff(3438,plain,
% 47.64/30.10 ((~v84(constB17, bitIndex2)) | v94(constB18) | v84(constB18, bitIndex2)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[3437, 576, 2495])).
% 47.64/30.10 tff(3439,plain,
% 47.64/30.10 (~v84(constB17, bitIndex2)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[3438, 3431, 3430])).
% 47.64/30.10 tff(3440,assumption,(~v84(constB18, bitIndex1)), introduced(assumption)).
% 47.64/30.10 tff(3441,plain,
% 47.64/30.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex1))),
% 47.64/30.10 inference(rewrite,[status(thm)],[])).
% 47.64/30.10 tff(3442,plain,
% 47.64/30.10 (((~nextState(constB17, constB18)) | (~v84(constB17, bitIndex1)) | v94(constB18) | v84(constB18, bitIndex1)) <=> ((~v84(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex1))),
% 47.64/30.10 inference(rewrite,[status(thm)],[])).
% 47.64/30.10 tff(3443,plain,
% 47.64/30.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v84(constB17, bitIndex1)) | v94(constB18) | v84(constB18, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex1)))),
% 47.64/30.10 inference(monotonicity,[status(thm)],[3442])).
% 47.64/30.10 tff(3444,plain,
% 47.64/30.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v84(constB17, bitIndex1)) | v94(constB18) | v84(constB18, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex1))),
% 47.64/30.10 inference(transitivity,[status(thm)],[3443, 3441])).
% 47.64/30.10 tff(3445,plain,
% 47.64/30.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v84(constB17, bitIndex1)) | v94(constB18) | v84(constB18, bitIndex1))),
% 47.64/30.10 inference(quant_inst,[status(thm)],[])).
% 47.64/30.10 tff(3446,plain,
% 47.64/30.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v94(constB18) | v84(constB18, bitIndex1)),
% 47.64/30.10 inference(modus_ponens,[status(thm)],[3445, 3444])).
% 47.64/30.10 tff(3447,plain,
% 47.64/30.10 ((~v84(constB17, bitIndex1)) | v94(constB18) | v84(constB18, bitIndex1)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[3446, 905, 2495])).
% 47.64/30.10 tff(3448,plain,
% 47.64/30.10 (~v84(constB17, bitIndex1)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[3447, 3431, 3440])).
% 47.64/30.10 tff(3449,assumption,(~v84(constB18, bitIndex0)), introduced(assumption)).
% 47.64/30.10 tff(3450,plain,
% 47.64/30.10 (~v84(constB17, bitIndex0)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2647, 3431, 3449])).
% 47.64/30.10 tff(3451,plain,
% 47.64/30.10 (v113(constB17)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2632, 205, 3450, 3448, 3439])).
% 47.64/30.10 tff(3452,plain,
% 47.64/30.10 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB17)) | v112(constB17))),
% 47.64/30.10 inference(rewrite,[status(thm)],[])).
% 47.64/30.10 tff(3453,plain,
% 47.64/30.10 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB17)) | v112(constB17))),
% 47.64/30.10 inference(quant_inst,[status(thm)],[])).
% 47.64/30.10 tff(3454,plain,
% 47.64/30.10 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB17)) | v112(constB17)),
% 47.64/30.10 inference(modus_ponens,[status(thm)],[3453, 3452])).
% 47.64/30.10 tff(3455,plain,
% 47.64/30.10 (v112(constB17)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[3454, 267, 3451])).
% 47.64/30.10 tff(3456,plain,
% 47.64/30.10 (v111(constB17)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2590, 278, 3455])).
% 47.64/30.10 tff(3457,plain,
% 47.64/30.10 (v110(constB17)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2597, 292, 3456])).
% 47.64/30.10 tff(3458,plain,
% 47.64/30.10 (~v104(constB18)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2552, 3431])).
% 47.64/30.10 tff(3459,plain,
% 47.64/30.10 (~v102(constB17)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2560, 3458])).
% 47.64/30.10 tff(3460,plain,
% 47.64/30.10 (~v106(constB17)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2567, 504, 3459])).
% 47.64/30.10 tff(3461,plain,
% 47.64/30.10 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB17) | (~v26(constB17)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB17) | (~v26(constB17)))),
% 47.64/30.10 inference(rewrite,[status(thm)],[])).
% 47.64/30.10 tff(3462,plain,
% 47.64/30.10 (((~v26(constB17)) | v102(constB17)) <=> (v102(constB17) | (~v26(constB17)))),
% 47.64/30.10 inference(rewrite,[status(thm)],[])).
% 47.64/30.10 tff(3463,plain,
% 47.64/30.10 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB17)) | v102(constB17))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB17) | (~v26(constB17))))),
% 47.64/30.10 inference(monotonicity,[status(thm)],[3462])).
% 47.64/30.10 tff(3464,plain,
% 47.64/30.10 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB17)) | v102(constB17))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB17) | (~v26(constB17)))),
% 47.64/30.10 inference(transitivity,[status(thm)],[3463, 3461])).
% 47.64/30.10 tff(3465,plain,
% 47.64/30.10 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB17)) | v102(constB17))),
% 47.64/30.10 inference(quant_inst,[status(thm)],[])).
% 47.64/30.10 tff(3466,plain,
% 47.64/30.10 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB17) | (~v26(constB17))),
% 47.64/30.10 inference(modus_ponens,[status(thm)],[3465, 3464])).
% 47.64/30.10 tff(3467,plain,
% 47.64/30.10 (~v26(constB17)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[3466, 723, 3459])).
% 47.64/30.10 tff(3468,plain,
% 47.64/30.10 (~v107(constB17)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2571, 348, 3467, 3460])).
% 47.64/30.10 tff(3469,plain,
% 47.64/30.10 (~v108(constB17)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2579, 334, 3468])).
% 47.64/30.10 tff(3470,plain,
% 47.64/30.10 (~v109(constB17)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2608, 320, 3469])).
% 47.64/30.10 tff(3471,plain,
% 47.64/30.10 ($false),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2604, 306, 3470, 3457])).
% 47.64/30.10 tff(3472,plain,(v94(constB18) | v84(constB18, bitIndex1) | v84(constB18, bitIndex2) | v84(constB18, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 47.64/30.10 tff(3473,plain,
% 47.64/30.10 (v94(constB18)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[3472, 3429, 3418, 3417])).
% 47.64/30.10 tff(3474,plain,
% 47.64/30.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18)))),
% 47.64/30.10 inference(rewrite,[status(thm)],[])).
% 47.64/30.10 tff(3475,plain,
% 47.64/30.10 ((v84(constB18, bitIndex0) | (~v94(constB18)) | (~v123(constB18, bitIndex0))) <=> (v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18)))),
% 47.64/30.10 inference(rewrite,[status(thm)],[])).
% 47.64/30.10 tff(3476,plain,
% 47.64/30.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v94(constB18)) | (~v123(constB18, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18))))),
% 47.64/30.10 inference(monotonicity,[status(thm)],[3475])).
% 47.64/30.10 tff(3477,plain,
% 47.64/30.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v94(constB18)) | (~v123(constB18, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18)))),
% 47.64/30.10 inference(transitivity,[status(thm)],[3476, 3474])).
% 47.64/30.10 tff(3478,plain,
% 47.64/30.10 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v94(constB18)) | (~v123(constB18, bitIndex0)))),
% 47.64/30.10 inference(quant_inst,[status(thm)],[])).
% 47.64/30.10 tff(3479,plain,
% 47.64/30.10 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18))),
% 47.64/30.10 inference(modus_ponens,[status(thm)],[3478, 3477])).
% 47.64/30.10 tff(3480,plain,
% 47.64/30.10 ((~v123(constB18, bitIndex0)) | (~v94(constB18))),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[3479, 1421, 3417])).
% 47.64/30.10 tff(3481,plain,
% 47.64/30.10 (~v123(constB18, bitIndex0)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[3480, 3473])).
% 47.64/30.10 tff(3482,plain,
% 47.64/30.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0))),
% 47.64/30.10 inference(rewrite,[status(thm)],[])).
% 47.64/30.10 tff(3483,plain,
% 47.64/30.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0))),
% 47.64/30.10 inference(quant_inst,[status(thm)],[])).
% 47.64/30.10 tff(3484,plain,
% 47.64/30.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0)),
% 47.64/30.10 inference(modus_ponens,[status(thm)],[3483, 3482])).
% 47.64/30.10 tff(3485,plain,
% 47.64/30.10 ((~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[3484, 1406, 2495])).
% 47.64/30.10 tff(3486,plain,
% 47.64/30.10 (~v121(constB17, bitIndex0)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[3485, 3481])).
% 47.64/30.10 tff(3487,plain,
% 47.64/30.10 (~v123(constB18, bitIndex1)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2654, 887, 3473, 3418])).
% 47.64/30.10 tff(3488,plain,
% 47.64/30.10 (~v121(constB17, bitIndex1)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[2499, 3487])).
% 47.64/30.10 tff(3489,plain,
% 47.64/30.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~v123(constB18, bitIndex2)) | (~v94(constB18)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~v123(constB18, bitIndex2)) | (~v94(constB18)))),
% 47.64/30.10 inference(rewrite,[status(thm)],[])).
% 47.64/30.10 tff(3490,plain,
% 47.64/30.10 ((v84(constB18, bitIndex2) | (~v94(constB18)) | (~v123(constB18, bitIndex2))) <=> (v84(constB18, bitIndex2) | (~v123(constB18, bitIndex2)) | (~v94(constB18)))),
% 47.64/30.10 inference(rewrite,[status(thm)],[])).
% 47.64/30.10 tff(3491,plain,
% 47.64/30.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~v94(constB18)) | (~v123(constB18, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~v123(constB18, bitIndex2)) | (~v94(constB18))))),
% 47.64/30.10 inference(monotonicity,[status(thm)],[3490])).
% 47.64/30.10 tff(3492,plain,
% 47.64/30.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~v94(constB18)) | (~v123(constB18, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~v123(constB18, bitIndex2)) | (~v94(constB18)))),
% 47.64/30.10 inference(transitivity,[status(thm)],[3491, 3489])).
% 47.64/30.10 tff(3493,plain,
% 47.64/30.10 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~v94(constB18)) | (~v123(constB18, bitIndex2)))),
% 47.64/30.10 inference(quant_inst,[status(thm)],[])).
% 47.64/30.10 tff(3494,plain,
% 47.64/30.10 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~v123(constB18, bitIndex2)) | (~v94(constB18))),
% 47.64/30.10 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 47.64/30.10 tff(3495,plain,
% 47.64/30.10 (~v123(constB18, bitIndex2)),
% 47.64/30.10 inference(unit_resolution,[status(thm)],[3494, 405, 3473, 3429])).
% 47.64/30.10 tff(3496,plain,
% 47.64/30.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex2)) | v123(constB18, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex2)) | v123(constB18, bitIndex2))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3497,plain,
% 47.64/30.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex2)) | v123(constB18, bitIndex2))),
% 47.64/30.11 inference(quant_inst,[status(thm)],[])).
% 47.64/30.11 tff(3498,plain,
% 47.64/30.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex2)) | v123(constB18, bitIndex2)),
% 47.64/30.11 inference(modus_ponens,[status(thm)],[3497, 3496])).
% 47.64/30.11 tff(3499,plain,
% 47.64/30.11 ((~v121(constB17, bitIndex2)) | v123(constB18, bitIndex2)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3498, 389, 2495])).
% 47.64/30.11 tff(3500,plain,
% 47.64/30.11 (~v121(constB17, bitIndex2)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3499, 3495])).
% 47.64/30.11 tff(3501,assumption,(~v26(constB17)), introduced(assumption)).
% 47.64/30.11 tff(3502,assumption,(~v121(constB17, bitIndex2)), introduced(assumption)).
% 47.64/30.11 tff(3503,plain,
% 47.64/30.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB17) | (~v124(constB17, bitIndex2)) | v121(constB17, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB17) | (~v124(constB17, bitIndex2)) | v121(constB17, bitIndex2))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3504,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB17) | (~v124(constB17, bitIndex2)) | v121(constB17, bitIndex2))),
% 47.64/30.11 inference(quant_inst,[status(thm)],[])).
% 47.64/30.11 tff(3505,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB17) | (~v124(constB17, bitIndex2)) | v121(constB17, bitIndex2)),
% 47.64/30.11 inference(modus_ponens,[status(thm)],[3504, 3503])).
% 47.64/30.11 tff(3506,plain,
% 47.64/30.11 (v26(constB17) | (~v124(constB17, bitIndex2))),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3505, 374, 3502])).
% 47.64/30.11 tff(3507,plain,
% 47.64/30.11 (~v124(constB17, bitIndex2)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3506, 3501])).
% 47.64/30.11 tff(3508,plain,
% 47.64/30.11 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB17)) | v124(constB17, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB17)) | v124(constB17, bitIndex2))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3509,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB17)) | v124(constB17, bitIndex2))),
% 47.64/30.11 inference(quant_inst,[status(thm)],[])).
% 47.64/30.11 tff(3510,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB17)) | v124(constB17, bitIndex2)),
% 47.64/30.11 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 47.64/30.11 tff(3511,plain,
% 47.64/30.11 (~v116(constB17)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3510, 1923, 3507])).
% 47.64/30.11 tff(3512,plain,
% 47.64/30.11 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB17)) | v124(constB17, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB17)) | v124(constB17, bitIndex2))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3513,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB17)) | v124(constB17, bitIndex2))),
% 47.64/30.11 inference(quant_inst,[status(thm)],[])).
% 47.64/30.11 tff(3514,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB17)) | v124(constB17, bitIndex2)),
% 47.64/30.11 inference(modus_ponens,[status(thm)],[3513, 3512])).
% 47.64/30.11 tff(3515,plain,
% 47.64/30.11 (~v113(constB17)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3514, 360, 3507])).
% 47.64/30.11 tff(3516,assumption,(~v121(constB17, bitIndex1)), introduced(assumption)).
% 47.64/30.11 tff(3517,plain,
% 47.64/30.11 (v26(constB17) | (~v124(constB17, bitIndex1))),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[2490, 857, 3516])).
% 47.64/30.11 tff(3518,plain,
% 47.64/30.11 (~v124(constB17, bitIndex1)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3517, 3501])).
% 47.64/30.11 tff(3519,plain,
% 47.64/30.11 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB17)) | v124(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB17)) | v124(constB17, bitIndex1))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3520,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB17)) | v124(constB17, bitIndex1))),
% 47.64/30.11 inference(quant_inst,[status(thm)],[])).
% 47.64/30.11 tff(3521,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB17)) | v124(constB17, bitIndex1)),
% 47.64/30.11 inference(modus_ponens,[status(thm)],[3520, 3519])).
% 47.64/30.11 tff(3522,plain,
% 47.64/30.11 (~v172(constB17)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3521, 843, 3518])).
% 47.64/30.11 tff(3523,plain,
% 47.64/30.11 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB17)) | v124(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB17)) | v124(constB17, bitIndex1))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3524,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB17)) | v124(constB17, bitIndex1))),
% 47.64/30.11 inference(quant_inst,[status(thm)],[])).
% 47.64/30.11 tff(3525,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB17)) | v124(constB17, bitIndex1)),
% 47.64/30.11 inference(modus_ponens,[status(thm)],[3524, 3523])).
% 47.64/30.11 tff(3526,plain,
% 47.64/30.11 (~v118(constB17)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3525, 3117, 3518])).
% 47.64/30.11 tff(3527,assumption,(~v121(constB17, bitIndex0)), introduced(assumption)).
% 47.64/30.11 tff(3528,plain,
% 47.64/30.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB17) | (~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB17) | (~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3529,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB17) | (~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0))),
% 47.64/30.11 inference(quant_inst,[status(thm)],[])).
% 47.64/30.11 tff(3530,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB17) | (~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0)),
% 47.64/30.11 inference(modus_ponens,[status(thm)],[3529, 3528])).
% 47.64/30.11 tff(3531,plain,
% 47.64/30.11 (v26(constB17) | (~v124(constB17, bitIndex0))),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3530, 1391, 3527])).
% 47.64/30.11 tff(3532,plain,
% 47.64/30.11 (~v124(constB17, bitIndex0)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3531, 3501])).
% 47.64/30.11 tff(3533,plain,
% 47.64/30.11 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB17)) | v124(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB17)) | v124(constB17, bitIndex1))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3534,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB17)) | v124(constB17, bitIndex1))),
% 47.64/30.11 inference(quant_inst,[status(thm)],[])).
% 47.64/30.11 tff(3535,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB17)) | v124(constB17, bitIndex1)),
% 47.64/30.11 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 47.64/30.11 tff(3536,plain,
% 47.64/30.11 (~v115(constB17)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3535, 1746, 3518])).
% 47.64/30.11 tff(3537,plain,
% 47.64/30.11 (~v145(constB17)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[2482, 1512, 3518])).
% 47.64/30.11 tff(3538,plain,
% 47.64/30.11 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB17) | v172(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | v124(constB17, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB17) | v172(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | v124(constB17, bitIndex0))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3539,plain,
% 47.64/30.11 ((v113(constB17) | v145(constB17) | v115(constB17) | v116(constB17) | v172(constB17) | v118(constB17) | v124(constB17, bitIndex0)) <=> (v145(constB17) | v172(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | v124(constB17, bitIndex0))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3540,plain,
% 47.64/30.11 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB17) | v145(constB17) | v115(constB17) | v116(constB17) | v172(constB17) | v118(constB17) | v124(constB17, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB17) | v172(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | v124(constB17, bitIndex0)))),
% 47.64/30.11 inference(monotonicity,[status(thm)],[3539])).
% 47.64/30.11 tff(3541,plain,
% 47.64/30.11 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB17) | v145(constB17) | v115(constB17) | v116(constB17) | v172(constB17) | v118(constB17) | v124(constB17, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB17) | v172(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | v124(constB17, bitIndex0))),
% 47.64/30.11 inference(transitivity,[status(thm)],[3540, 3538])).
% 47.64/30.11 tff(3542,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB17) | v145(constB17) | v115(constB17) | v116(constB17) | v172(constB17) | v118(constB17) | v124(constB17, bitIndex0))),
% 47.64/30.11 inference(quant_inst,[status(thm)],[])).
% 47.64/30.11 tff(3543,plain,
% 47.64/30.11 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB17) | v172(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | v124(constB17, bitIndex0)),
% 47.64/30.11 inference(modus_ponens,[status(thm)],[3542, 3541])).
% 47.64/30.11 tff(3544,plain,
% 47.64/30.11 (v116(constB17) | v113(constB17)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3543, 1374, 3537, 3536, 3532, 3526, 3522])).
% 47.64/30.11 tff(3545,plain,
% 47.64/30.11 ($false),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3544, 3515, 3511])).
% 47.64/30.11 tff(3546,plain,(v26(constB17) | v121(constB17, bitIndex2) | v121(constB17, bitIndex0) | v121(constB17, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 47.64/30.11 tff(3547,plain,
% 47.64/30.11 ($false),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3546, 3500, 3488, 2487, 3486])).
% 47.64/30.11 tff(3548,plain,(v84(constB19, bitIndex1) | v172(constB19) | v84(constB19, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 47.64/30.11 tff(3549,plain,
% 47.64/30.11 (v84(constB19, bitIndex1)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3548, 3408, 3106])).
% 47.64/30.11 tff(3550,plain,
% 47.64/30.11 (v84(constB19, bitIndex2)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[2749, 3549, 3102, 3080])).
% 47.64/30.11 tff(3551,plain,
% 47.64/30.11 (v84(constB18, bitIndex2)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[2733, 3550])).
% 47.64/30.11 tff(3552,plain,
% 47.64/30.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex1)))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3553,plain,
% 47.64/30.11 (((~nextState(constB18, constB19)) | v84(constB18, bitIndex1) | v94(constB19) | (~v84(constB19, bitIndex1))) <=> (v84(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex1)))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3554,plain,
% 47.64/30.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex1) | v94(constB19) | (~v84(constB19, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex1))))),
% 47.64/30.11 inference(monotonicity,[status(thm)],[3553])).
% 47.64/30.11 tff(3555,plain,
% 47.64/30.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex1) | v94(constB19) | (~v84(constB19, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex1)))),
% 47.64/30.11 inference(transitivity,[status(thm)],[3554, 3552])).
% 47.64/30.11 tff(3556,plain,
% 47.64/30.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex1) | v94(constB19) | (~v84(constB19, bitIndex1)))),
% 47.64/30.11 inference(quant_inst,[status(thm)],[])).
% 47.64/30.11 tff(3557,plain,
% 47.64/30.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex1))),
% 47.64/30.11 inference(modus_ponens,[status(thm)],[3556, 3555])).
% 47.64/30.11 tff(3558,plain,
% 47.64/30.11 (v84(constB18, bitIndex1) | v94(constB19) | (~v84(constB19, bitIndex1))),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3557, 163, 2662])).
% 47.64/30.11 tff(3559,plain,
% 47.64/30.11 (v84(constB18, bitIndex1) | (~v84(constB19, bitIndex1))),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3558, 2674])).
% 47.64/30.11 tff(3560,plain,
% 47.64/30.11 (v84(constB18, bitIndex1)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3559, 3549])).
% 47.64/30.11 tff(3561,plain,
% 47.64/30.11 (~v84(constB18, bitIndex0)),
% 47.64/30.11 inference(unit_resolution,[status(thm)],[3416, 3408])).
% 47.64/30.11 tff(3562,assumption,(v84(constB18, bitIndex2)), introduced(assumption)).
% 47.64/30.11 tff(3563,plain,
% 47.64/30.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex2)))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3564,plain,
% 47.64/30.11 (((~nextState(constB17, constB18)) | v84(constB17, bitIndex2) | v94(constB18) | (~v84(constB18, bitIndex2))) <=> (v84(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex2)))),
% 47.64/30.11 inference(rewrite,[status(thm)],[])).
% 47.64/30.11 tff(3565,plain,
% 47.64/30.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v84(constB17, bitIndex2) | v94(constB18) | (~v84(constB18, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex2))))),
% 47.64/30.12 inference(monotonicity,[status(thm)],[3564])).
% 47.64/30.12 tff(3566,plain,
% 47.64/30.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v84(constB17, bitIndex2) | v94(constB18) | (~v84(constB18, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex2)))),
% 47.64/30.12 inference(transitivity,[status(thm)],[3565, 3563])).
% 47.64/30.12 tff(3567,plain,
% 47.64/30.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v84(constB17, bitIndex2) | v94(constB18) | (~v84(constB18, bitIndex2)))),
% 47.64/30.12 inference(quant_inst,[status(thm)],[])).
% 47.64/30.12 tff(3568,plain,
% 47.64/30.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex2))),
% 47.64/30.12 inference(modus_ponens,[status(thm)],[3567, 3566])).
% 47.64/30.12 tff(3569,plain,
% 47.64/30.12 (v84(constB17, bitIndex2) | v94(constB18) | (~v84(constB18, bitIndex2))),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3568, 142, 2495])).
% 47.64/30.12 tff(3570,plain,
% 47.64/30.12 (v84(constB17, bitIndex2)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3569, 3431, 3562])).
% 47.64/30.12 tff(3571,assumption,(v84(constB18, bitIndex1)), introduced(assumption)).
% 47.64/30.12 tff(3572,plain,
% 47.64/30.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex1)))),
% 47.64/30.12 inference(rewrite,[status(thm)],[])).
% 47.64/30.12 tff(3573,plain,
% 47.64/30.12 (((~nextState(constB17, constB18)) | v84(constB17, bitIndex1) | v94(constB18) | (~v84(constB18, bitIndex1))) <=> (v84(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex1)))),
% 47.64/30.12 inference(rewrite,[status(thm)],[])).
% 47.64/30.12 tff(3574,plain,
% 47.64/30.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v84(constB17, bitIndex1) | v94(constB18) | (~v84(constB18, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex1))))),
% 47.64/30.12 inference(monotonicity,[status(thm)],[3573])).
% 47.64/30.12 tff(3575,plain,
% 47.64/30.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v84(constB17, bitIndex1) | v94(constB18) | (~v84(constB18, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex1)))),
% 47.64/30.12 inference(transitivity,[status(thm)],[3574, 3572])).
% 47.64/30.12 tff(3576,plain,
% 47.64/30.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v84(constB17, bitIndex1) | v94(constB18) | (~v84(constB18, bitIndex1)))),
% 47.64/30.12 inference(quant_inst,[status(thm)],[])).
% 47.64/30.12 tff(3577,plain,
% 47.64/30.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex1))),
% 47.64/30.12 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 47.64/30.12 tff(3578,plain,
% 47.64/30.12 (v84(constB17, bitIndex1) | v94(constB18) | (~v84(constB18, bitIndex1))),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3577, 163, 2495])).
% 47.64/30.12 tff(3579,plain,
% 47.64/30.12 (v84(constB17, bitIndex1)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3578, 3431, 3571])).
% 47.64/30.12 tff(3580,plain,
% 47.64/30.12 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB17, bitIndex0) | (~v84(constB17, bitIndex1)) | (~v84(constB17, bitIndex2)) | v119(constB17))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB17, bitIndex0) | (~v84(constB17, bitIndex1)) | (~v84(constB17, bitIndex2)) | v119(constB17))),
% 47.64/30.12 inference(rewrite,[status(thm)],[])).
% 47.64/30.12 tff(3581,plain,
% 47.64/30.12 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB17, bitIndex0) | (~v84(constB17, bitIndex1)) | (~v84(constB17, bitIndex2)) | v119(constB17))),
% 47.64/30.12 inference(quant_inst,[status(thm)],[])).
% 47.64/30.12 tff(3582,plain,
% 47.64/30.12 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB17, bitIndex0) | (~v84(constB17, bitIndex1)) | (~v84(constB17, bitIndex2)) | v119(constB17)),
% 47.64/30.12 inference(modus_ponens,[status(thm)],[3581, 3580])).
% 47.64/30.12 tff(3583,plain,
% 47.64/30.12 (v119(constB17)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3582, 965, 3450, 3579, 3570])).
% 47.64/30.12 tff(3584,plain,
% 47.64/30.12 (~v107(constB17)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[2572, 3460])).
% 47.64/30.12 tff(3585,plain,
% 47.64/30.12 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB17)) | v107(constB17))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB17)) | v107(constB17))),
% 47.64/30.12 inference(rewrite,[status(thm)],[])).
% 47.64/30.12 tff(3586,plain,
% 47.64/30.12 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB17)) | v107(constB17))),
% 47.64/30.12 inference(quant_inst,[status(thm)],[])).
% 47.64/30.12 tff(3587,plain,
% 47.64/30.12 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB17)) | v107(constB17)),
% 47.64/30.12 inference(modus_ponens,[status(thm)],[3586, 3585])).
% 47.64/30.12 tff(3588,plain,
% 47.64/30.12 ($false),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3587, 976, 3584, 3583])).
% 47.64/30.12 tff(3589,plain,(v94(constB18) | v84(constB18, bitIndex0) | (~v84(constB18, bitIndex2)) | (~v84(constB18, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 47.64/30.12 tff(3590,plain,
% 47.64/30.12 (v94(constB18)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3589, 3551, 3561, 3560])).
% 47.64/30.12 tff(3591,plain,
% 47.64/30.12 (v123(constB18, bitIndex2)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[2723, 1220, 3590, 3551])).
% 47.64/30.12 tff(3592,plain,
% 47.64/30.12 (v121(constB17, bitIndex2)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[2719, 3591])).
% 47.64/30.12 tff(3593,plain,
% 47.64/30.12 (v124(constB17, bitIndex2)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[2714, 3592])).
% 47.64/30.12 tff(3594,plain,
% 47.64/30.12 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 47.64/30.12 inference(bind,[status(th)],[])).
% 47.64/30.12 tff(3595,plain,
% 47.64/30.12 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.64/30.12 inference(quant_intro,[status(thm)],[3594])).
% 47.64/30.12 tff(3596,plain,
% 47.64/30.12 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.64/30.12 inference(rewrite,[status(thm)],[])).
% 47.64/30.12 tff(3597,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 47.64/30.12 tff(3598,plain,
% 47.64/30.12 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.64/30.12 inference(modus_ponens,[status(thm)],[3597, 3596])).
% 47.64/30.12 tff(3599,plain,(
% 47.64/30.12 ![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.64/30.12 inference(skolemize,[status(sab)],[3598])).
% 47.64/30.12 tff(3600,plain,
% 47.64/30.12 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 47.64/30.12 inference(modus_ponens,[status(thm)],[3599, 3595])).
% 47.64/30.12 tff(3601,plain,
% 47.64/30.12 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v118(constB17)) | (~v124(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v118(constB17)) | (~v124(constB17, bitIndex2)))),
% 47.64/30.12 inference(rewrite,[status(thm)],[])).
% 47.64/30.12 tff(3602,plain,
% 47.64/30.12 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v118(constB17)) | (~v124(constB17, bitIndex2)))),
% 47.64/30.12 inference(quant_inst,[status(thm)],[])).
% 47.64/30.12 tff(3603,plain,
% 47.64/30.12 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v118(constB17)) | (~v124(constB17, bitIndex2))),
% 47.64/30.12 inference(modus_ponens,[status(thm)],[3602, 3601])).
% 47.64/30.12 tff(3604,plain,
% 47.64/30.12 (~v118(constB17)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3603, 3600, 3593])).
% 47.64/30.12 tff(3605,plain,
% 47.64/30.12 (~v123(constB18, bitIndex0)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3479, 1421, 3590, 3561])).
% 47.64/30.12 tff(3606,plain,
% 47.64/30.12 (~v121(constB17, bitIndex0)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3485, 3605])).
% 47.64/30.12 tff(3607,plain,
% 47.64/30.12 ((~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3530, 1391, 2487])).
% 47.64/30.12 tff(3608,plain,
% 47.64/30.12 (~v124(constB17, bitIndex0)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3607, 3606])).
% 47.64/30.12 tff(3609,plain,
% 47.64/30.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | v123(constB18, bitIndex1) | (~v94(constB18)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | v123(constB18, bitIndex1) | (~v94(constB18)))),
% 47.64/30.12 inference(rewrite,[status(thm)],[])).
% 47.64/30.12 tff(3610,plain,
% 47.64/30.12 (((~v84(constB18, bitIndex1)) | (~v94(constB18)) | v123(constB18, bitIndex1)) <=> ((~v84(constB18, bitIndex1)) | v123(constB18, bitIndex1) | (~v94(constB18)))),
% 47.64/30.12 inference(rewrite,[status(thm)],[])).
% 47.64/30.12 tff(3611,plain,
% 47.64/30.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | (~v94(constB18)) | v123(constB18, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | v123(constB18, bitIndex1) | (~v94(constB18))))),
% 47.64/30.12 inference(monotonicity,[status(thm)],[3610])).
% 47.64/30.12 tff(3612,plain,
% 47.64/30.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | (~v94(constB18)) | v123(constB18, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | v123(constB18, bitIndex1) | (~v94(constB18)))),
% 47.64/30.12 inference(transitivity,[status(thm)],[3611, 3609])).
% 47.64/30.12 tff(3613,plain,
% 47.64/30.12 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | (~v94(constB18)) | v123(constB18, bitIndex1))),
% 47.64/30.12 inference(quant_inst,[status(thm)],[])).
% 47.64/30.12 tff(3614,plain,
% 47.64/30.12 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | v123(constB18, bitIndex1) | (~v94(constB18))),
% 47.64/30.12 inference(modus_ponens,[status(thm)],[3613, 3612])).
% 47.64/30.12 tff(3615,plain,
% 47.64/30.12 (v123(constB18, bitIndex1)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3614, 532, 3590, 3560])).
% 47.64/30.12 tff(3616,plain,
% 47.64/30.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex1) | (~v123(constB18, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex1) | (~v123(constB18, bitIndex1)))),
% 47.64/30.12 inference(rewrite,[status(thm)],[])).
% 47.64/30.12 tff(3617,plain,
% 47.64/30.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex1) | (~v123(constB18, bitIndex1)))),
% 47.64/30.12 inference(quant_inst,[status(thm)],[])).
% 47.64/30.12 tff(3618,plain,
% 47.64/30.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex1) | (~v123(constB18, bitIndex1))),
% 47.64/30.12 inference(modus_ponens,[status(thm)],[3617, 3616])).
% 47.64/30.12 tff(3619,plain,
% 47.64/30.12 (v121(constB17, bitIndex1) | (~v123(constB18, bitIndex1))),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3618, 254, 2495])).
% 47.64/30.12 tff(3620,plain,
% 47.64/30.12 (v121(constB17, bitIndex1)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3619, 3615])).
% 47.64/30.12 tff(3621,plain,
% 47.64/30.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB17, bitIndex1)) | v26(constB17) | v124(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB17, bitIndex1)) | v26(constB17) | v124(constB17, bitIndex1))),
% 47.64/30.12 inference(rewrite,[status(thm)],[])).
% 47.64/30.12 tff(3622,plain,
% 47.64/30.12 ((v26(constB17) | v124(constB17, bitIndex1) | (~v121(constB17, bitIndex1))) <=> ((~v121(constB17, bitIndex1)) | v26(constB17) | v124(constB17, bitIndex1))),
% 47.64/30.12 inference(rewrite,[status(thm)],[])).
% 47.64/30.12 tff(3623,plain,
% 47.64/30.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB17) | v124(constB17, bitIndex1) | (~v121(constB17, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB17, bitIndex1)) | v26(constB17) | v124(constB17, bitIndex1)))),
% 47.64/30.12 inference(monotonicity,[status(thm)],[3622])).
% 47.64/30.12 tff(3624,plain,
% 47.64/30.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB17) | v124(constB17, bitIndex1) | (~v121(constB17, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB17, bitIndex1)) | v26(constB17) | v124(constB17, bitIndex1))),
% 47.64/30.12 inference(transitivity,[status(thm)],[3623, 3621])).
% 47.64/30.12 tff(3625,plain,
% 47.64/30.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB17) | v124(constB17, bitIndex1) | (~v121(constB17, bitIndex1)))),
% 47.64/30.12 inference(quant_inst,[status(thm)],[])).
% 47.64/30.12 tff(3626,plain,
% 47.64/30.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB17, bitIndex1)) | v26(constB17) | v124(constB17, bitIndex1)),
% 47.64/30.12 inference(modus_ponens,[status(thm)],[3625, 3624])).
% 47.64/30.12 tff(3627,plain,
% 47.64/30.12 ((~v121(constB17, bitIndex1)) | v124(constB17, bitIndex1)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3626, 233, 2487])).
% 47.64/30.12 tff(3628,plain,
% 47.64/30.12 (v124(constB17, bitIndex1)),
% 47.64/30.12 inference(unit_resolution,[status(thm)],[3627, 3620])).
% 47.64/30.12 tff(3629,plain,
% 47.64/30.13 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB17)) | (~v124(constB17, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB17)) | (~v124(constB17, bitIndex1)))),
% 47.64/30.13 inference(rewrite,[status(thm)],[])).
% 47.64/30.13 tff(3630,plain,
% 47.64/30.13 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB17)) | (~v124(constB17, bitIndex1)))),
% 47.64/30.13 inference(quant_inst,[status(thm)],[])).
% 47.64/30.13 tff(3631,plain,
% 47.64/30.13 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB17)) | (~v124(constB17, bitIndex1))),
% 47.64/30.13 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 47.64/30.13 tff(3632,plain,
% 47.64/30.13 (~v113(constB17)),
% 47.64/30.13 inference(unit_resolution,[status(thm)],[3631, 219, 3628])).
% 47.64/30.13 tff(3633,plain,
% 47.64/30.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB17)) | (~v124(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB17)) | (~v124(constB17, bitIndex2)))),
% 47.64/30.13 inference(rewrite,[status(thm)],[])).
% 47.64/30.13 tff(3634,plain,
% 47.64/30.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB17)) | (~v124(constB17, bitIndex2)))),
% 47.64/30.13 inference(quant_inst,[status(thm)],[])).
% 47.64/30.13 tff(3635,plain,
% 47.64/30.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB17)) | (~v124(constB17, bitIndex2))),
% 47.64/30.13 inference(modus_ponens,[status(thm)],[3634, 3633])).
% 47.64/30.13 tff(3636,plain,
% 47.64/30.13 (~v115(constB17)),
% 47.64/30.13 inference(unit_resolution,[status(thm)],[3635, 1690, 3593])).
% 47.64/30.13 tff(3637,plain,
% 47.64/30.13 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB17)) | (~v124(constB17, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB17)) | (~v124(constB17, bitIndex1)))),
% 47.64/30.13 inference(rewrite,[status(thm)],[])).
% 47.64/30.13 tff(3638,plain,
% 47.64/30.13 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB17)) | (~v124(constB17, bitIndex1)))),
% 47.64/30.13 inference(quant_inst,[status(thm)],[])).
% 47.64/30.13 tff(3639,plain,
% 47.64/30.13 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB17)) | (~v124(constB17, bitIndex1))),
% 47.64/30.13 inference(modus_ponens,[status(thm)],[3638, 3637])).
% 47.64/30.13 tff(3640,plain,
% 47.64/30.13 (~v116(constB17)),
% 47.64/30.13 inference(unit_resolution,[status(thm)],[3639, 1979, 3628])).
% 47.64/30.13 tff(3641,plain,
% 47.64/30.13 (~v145(constB17)),
% 47.64/30.13 inference(unit_resolution,[status(thm)],[2706, 1456, 3593])).
% 47.64/30.13 tff(3642,assumption,(v172(constB17)), introduced(assumption)).
% 47.64/30.13 tff(3643,plain,
% 47.64/30.13 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB17)) | (~v84(constB17, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB17)) | (~v84(constB17, bitIndex1)))),
% 47.64/30.13 inference(rewrite,[status(thm)],[])).
% 47.64/30.13 tff(3644,plain,
% 47.64/30.13 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB17)) | (~v84(constB17, bitIndex1)))),
% 47.64/30.13 inference(quant_inst,[status(thm)],[])).
% 47.64/30.13 tff(3645,plain,
% 47.64/30.13 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB17)) | (~v84(constB17, bitIndex1))),
% 47.64/30.13 inference(modus_ponens,[status(thm)],[3644, 3643])).
% 47.64/30.13 tff(3646,plain,
% 47.64/30.13 (~v84(constB17, bitIndex1)),
% 47.64/30.13 inference(unit_resolution,[status(thm)],[3645, 1080, 3642])).
% 47.64/30.13 tff(3647,plain,
% 47.64/30.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1))),
% 47.64/30.13 inference(rewrite,[status(thm)],[])).
% 47.64/30.13 tff(3648,plain,
% 47.64/30.13 (((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1)) <=> ((~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1))),
% 47.64/30.13 inference(rewrite,[status(thm)],[])).
% 47.64/30.13 tff(3649,plain,
% 47.64/30.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1)))),
% 47.64/30.13 inference(monotonicity,[status(thm)],[3648])).
% 47.64/30.13 tff(3650,plain,
% 47.64/30.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1))),
% 47.64/30.13 inference(transitivity,[status(thm)],[3649, 3647])).
% 47.64/30.13 tff(3651,plain,
% 47.64/30.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1))),
% 47.64/30.13 inference(quant_inst,[status(thm)],[])).
% 47.64/30.13 tff(3652,plain,
% 47.64/30.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1)),
% 47.64/30.13 inference(modus_ponens,[status(thm)],[3651, 3650])).
% 47.64/30.13 tff(3653,plain,
% 47.64/30.13 ((~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1)),
% 47.64/30.13 inference(unit_resolution,[status(thm)],[3652, 905, 2370])).
% 47.64/30.13 tff(3654,plain,
% 47.64/30.13 ((~v84(constB16, bitIndex1)) | v84(constB17, bitIndex1)),
% 47.64/30.13 inference(unit_resolution,[status(thm)],[3653, 2382])).
% 47.64/30.13 tff(3655,plain,
% 47.64/30.13 (~v84(constB16, bitIndex1)),
% 47.64/30.13 inference(unit_resolution,[status(thm)],[3654, 3646])).
% 47.64/30.13 tff(3656,plain,
% 47.64/30.13 (^[VarCurr: state_type] : refl(((~v172(VarCurr)) | v84(VarCurr, bitIndex2)) <=> ((~v172(VarCurr)) | v84(VarCurr, bitIndex2)))),
% 47.64/30.13 inference(bind,[status(th)],[])).
% 47.64/30.13 tff(3657,plain,
% 47.64/30.13 (![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))),
% 47.64/30.13 inference(quant_intro,[status(thm)],[3656])).
% 47.64/30.13 tff(3658,plain,
% 47.64/30.13 (![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))),
% 47.64/30.13 inference(rewrite,[status(thm)],[])).
% 47.64/30.13 tff(3659,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_2')).
% 47.64/30.13 tff(3660,plain,
% 47.64/30.13 (![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))),
% 47.64/30.13 inference(modus_ponens,[status(thm)],[3659, 3658])).
% 47.64/30.13 tff(3661,plain,(
% 47.64/30.13 ![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))),
% 47.64/30.13 inference(skolemize,[status(sab)],[3660])).
% 47.64/30.13 tff(3662,plain,
% 47.64/30.13 (![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))),
% 47.64/30.13 inference(modus_ponens,[status(thm)],[3661, 3657])).
% 47.64/30.13 tff(3663,plain,
% 47.64/30.13 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))) | ((~v172(constB17)) | v84(constB17, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))) | (~v172(constB17)) | v84(constB17, bitIndex2))),
% 47.68/30.13 inference(rewrite,[status(thm)],[])).
% 47.68/30.13 tff(3664,plain,
% 47.68/30.13 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))) | ((~v172(constB17)) | v84(constB17, bitIndex2))),
% 47.68/30.13 inference(quant_inst,[status(thm)],[])).
% 47.68/30.13 tff(3665,plain,
% 47.68/30.13 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))) | (~v172(constB17)) | v84(constB17, bitIndex2)),
% 47.68/30.13 inference(modus_ponens,[status(thm)],[3664, 3663])).
% 47.68/30.13 tff(3666,plain,
% 47.68/30.13 (v84(constB17, bitIndex2)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3665, 3662, 3642])).
% 47.68/30.13 tff(3667,plain,
% 47.68/30.13 (v84(constB16, bitIndex2)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[2390, 3666])).
% 47.68/30.13 tff(3668,plain,
% 47.68/30.13 (~v94(constB16)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[2363, 3667])).
% 47.68/30.13 tff(3669,plain,
% 47.68/30.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB15, bitIndex1)) | (~nextState(constB15, constB16)) | v94(constB16) | v84(constB16, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB15, bitIndex1)) | (~nextState(constB15, constB16)) | v94(constB16) | v84(constB16, bitIndex1))),
% 47.68/30.13 inference(rewrite,[status(thm)],[])).
% 47.68/30.13 tff(3670,plain,
% 47.68/30.13 (((~nextState(constB15, constB16)) | (~v84(constB15, bitIndex1)) | v94(constB16) | v84(constB16, bitIndex1)) <=> ((~v84(constB15, bitIndex1)) | (~nextState(constB15, constB16)) | v94(constB16) | v84(constB16, bitIndex1))),
% 47.68/30.13 inference(rewrite,[status(thm)],[])).
% 47.68/30.13 tff(3671,plain,
% 47.68/30.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v84(constB15, bitIndex1)) | v94(constB16) | v84(constB16, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB15, bitIndex1)) | (~nextState(constB15, constB16)) | v94(constB16) | v84(constB16, bitIndex1)))),
% 47.68/30.13 inference(monotonicity,[status(thm)],[3670])).
% 47.68/30.13 tff(3672,plain,
% 47.68/30.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v84(constB15, bitIndex1)) | v94(constB16) | v84(constB16, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB15, bitIndex1)) | (~nextState(constB15, constB16)) | v94(constB16) | v84(constB16, bitIndex1))),
% 47.68/30.13 inference(transitivity,[status(thm)],[3671, 3669])).
% 47.68/30.13 tff(3673,plain,
% 47.68/30.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v84(constB15, bitIndex1)) | v94(constB16) | v84(constB16, bitIndex1))),
% 47.68/30.13 inference(quant_inst,[status(thm)],[])).
% 47.68/30.13 tff(3674,plain,
% 47.68/30.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB15, bitIndex1)) | (~nextState(constB15, constB16)) | v94(constB16) | v84(constB16, bitIndex1)),
% 47.68/30.13 inference(modus_ponens,[status(thm)],[3673, 3672])).
% 47.68/30.13 tff(3675,plain,
% 47.68/30.13 ((~v84(constB15, bitIndex1)) | v94(constB16) | v84(constB16, bitIndex1)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3674, 905, 2268])).
% 47.68/30.13 tff(3676,plain,
% 47.68/30.13 ($false),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3675, 3668, 3655, 2202])).
% 47.68/30.13 tff(3677,plain,(~v172(constB17)), inference(lemma,lemma(discharge,[]))).
% 47.68/30.13 tff(3678,plain,
% 47.68/30.13 (v145(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | v124(constB17, bitIndex0)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3543, 1374, 3677])).
% 47.68/30.13 tff(3679,plain,
% 47.68/30.13 ($false),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3678, 3641, 3640, 3636, 3632, 3608, 3604])).
% 47.68/30.13 tff(3680,plain,(v84(constB20, bitIndex2) | v84(constB21, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 47.68/30.13 tff(3681,plain,
% 47.68/30.13 (v84(constB20, bitIndex2)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3680, 2930])).
% 47.68/30.13 tff(3682,plain,
% 47.68/30.13 (v94(constB20)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[2991, 2946, 2945])).
% 47.68/30.13 tff(3683,assumption,(v84(constB20, bitIndex2)), introduced(assumption)).
% 47.68/30.13 tff(3684,plain,
% 47.68/30.13 (v123(constB20, bitIndex2) | (~v94(constB20))),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[2869, 1220, 3683])).
% 47.68/30.13 tff(3685,plain,
% 47.68/30.13 (v123(constB20, bitIndex2)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3684, 3682])).
% 47.68/30.13 tff(3686,plain,
% 47.68/30.13 (v121(constB19, bitIndex2)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[2865, 3685])).
% 47.68/30.13 tff(3687,plain,
% 47.68/30.13 (v124(constB19, bitIndex2)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[2860, 3686])).
% 47.68/30.13 tff(3688,plain,
% 47.68/30.13 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB19)) | (~v124(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB19)) | (~v124(constB19, bitIndex2)))),
% 47.68/30.13 inference(rewrite,[status(thm)],[])).
% 47.68/30.13 tff(3689,plain,
% 47.68/30.13 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB19)) | (~v124(constB19, bitIndex2)))),
% 47.68/30.13 inference(quant_inst,[status(thm)],[])).
% 47.68/30.13 tff(3690,plain,
% 47.68/30.13 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB19)) | (~v124(constB19, bitIndex2))),
% 47.68/30.13 inference(modus_ponens,[status(thm)],[3689, 3688])).
% 47.68/30.13 tff(3691,plain,
% 47.68/30.13 (~v145(constB19)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3690, 1456, 3687])).
% 47.68/30.13 tff(3692,plain,
% 47.68/30.13 (~v115(constB19)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[2848, 1690, 3687])).
% 47.68/30.13 tff(3693,plain,
% 47.68/30.13 (~v116(constB19)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[2702, 2699, 2946])).
% 47.68/30.13 tff(3694,plain,
% 47.68/30.13 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v118(constB19)) | (~v124(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v118(constB19)) | (~v124(constB19, bitIndex2)))),
% 47.68/30.13 inference(rewrite,[status(thm)],[])).
% 47.68/30.13 tff(3695,plain,
% 47.68/30.13 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v118(constB19)) | (~v124(constB19, bitIndex2)))),
% 47.68/30.13 inference(quant_inst,[status(thm)],[])).
% 47.68/30.13 tff(3696,plain,
% 47.68/30.13 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v118(constB19)) | (~v124(constB19, bitIndex2))),
% 47.68/30.13 inference(modus_ponens,[status(thm)],[3695, 3694])).
% 47.68/30.13 tff(3697,plain,
% 47.68/30.13 (~v118(constB19)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3696, 3600, 3687])).
% 47.68/30.13 tff(3698,plain,
% 47.68/30.13 ((~v123(constB20, bitIndex1)) | (~v94(constB20))),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3065, 887, 2945])).
% 47.68/30.13 tff(3699,plain,
% 47.68/30.13 (~v123(constB20, bitIndex1)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3698, 3682])).
% 47.68/30.13 tff(3700,plain,
% 47.68/30.13 (~v121(constB19, bitIndex1)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3070, 3699])).
% 47.68/30.13 tff(3701,plain,
% 47.68/30.13 (~v124(constB19, bitIndex1)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3075, 3700])).
% 47.68/30.13 tff(3702,plain,
% 47.68/30.13 (~v172(constB19)),
% 47.68/30.13 inference(unit_resolution,[status(thm)],[3105, 843, 3701])).
% 47.68/30.13 tff(3703,plain,
% 47.68/30.13 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19) | (~v124(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19) | (~v124(constB19, bitIndex2)))),
% 47.68/30.13 inference(rewrite,[status(thm)],[])).
% 47.68/30.13 tff(3704,plain,
% 47.68/30.13 ((v113(constB19) | v145(constB19) | v115(constB19) | v116(constB19) | v172(constB19) | v118(constB19) | (~v124(constB19, bitIndex2))) <=> (v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19) | (~v124(constB19, bitIndex2)))),
% 47.69/30.14 inference(rewrite,[status(thm)],[])).
% 47.69/30.14 tff(3705,plain,
% 47.69/30.14 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB19) | v145(constB19) | v115(constB19) | v116(constB19) | v172(constB19) | v118(constB19) | (~v124(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19) | (~v124(constB19, bitIndex2))))),
% 47.69/30.14 inference(monotonicity,[status(thm)],[3704])).
% 47.69/30.14 tff(3706,plain,
% 47.69/30.14 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB19) | v145(constB19) | v115(constB19) | v116(constB19) | v172(constB19) | v118(constB19) | (~v124(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19) | (~v124(constB19, bitIndex2)))),
% 47.69/30.14 inference(transitivity,[status(thm)],[3705, 3703])).
% 47.69/30.14 tff(3707,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB19) | v145(constB19) | v115(constB19) | v116(constB19) | v172(constB19) | v118(constB19) | (~v124(constB19, bitIndex2)))),
% 47.69/30.14 inference(quant_inst,[status(thm)],[])).
% 47.69/30.14 tff(3708,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19) | (~v124(constB19, bitIndex2))),
% 47.69/30.14 inference(modus_ponens,[status(thm)],[3707, 3706])).
% 47.69/30.14 tff(3709,plain,
% 47.69/30.14 (v172(constB19) | v145(constB19) | v118(constB19) | v116(constB19) | v115(constB19) | v113(constB19)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3708, 1170, 3687])).
% 47.69/30.14 tff(3710,plain,
% 47.69/30.14 (v113(constB19)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3709, 3702, 3697, 3693, 3692, 3691])).
% 47.69/30.14 tff(3711,plain,
% 47.69/30.14 (v84(constB19, bitIndex1)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3548, 3702, 2946])).
% 47.69/30.14 tff(3712,plain,
% 47.69/30.14 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB19)) | (~v84(constB19, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB19)) | (~v84(constB19, bitIndex1)))),
% 47.69/30.14 inference(rewrite,[status(thm)],[])).
% 47.69/30.14 tff(3713,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB19)) | (~v84(constB19, bitIndex1)))),
% 47.69/30.14 inference(quant_inst,[status(thm)],[])).
% 47.69/30.14 tff(3714,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB19)) | (~v84(constB19, bitIndex1))),
% 47.69/30.14 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 47.69/30.14 tff(3715,plain,
% 47.69/30.14 ($false),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3714, 1058, 3711, 3710])).
% 47.69/30.14 tff(3716,plain,(v84(constB19, bitIndex0) | v84(constB20, bitIndex1) | (~v84(constB20, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 47.69/30.14 tff(3717,plain,
% 47.69/30.14 (v84(constB19, bitIndex0)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3716, 3681, 2939])).
% 47.69/30.14 tff(3718,plain,
% 47.69/30.14 (v84(constB18, bitIndex0)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2691, 3717])).
% 47.69/30.14 tff(3719,plain,
% 47.69/30.14 (v123(constB20, bitIndex2)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2869, 1220, 3059, 3681])).
% 47.69/30.14 tff(3720,plain,
% 47.69/30.14 (v121(constB19, bitIndex2)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2865, 3719])).
% 47.69/30.14 tff(3721,plain,
% 47.69/30.14 (v124(constB19, bitIndex2)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2860, 3720])).
% 47.69/30.14 tff(3722,plain,
% 47.69/30.14 (~v118(constB19)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3696, 3600, 3721])).
% 47.69/30.14 tff(3723,plain,
% 47.69/30.14 (~v145(constB19)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3690, 1456, 3721])).
% 47.69/30.14 tff(3724,plain,
% 47.69/30.14 (~v113(constB19)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3215, 3212, 3717])).
% 47.69/30.14 tff(3725,plain,
% 47.69/30.14 (~v115(constB19)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3241, 3238, 3717])).
% 47.69/30.14 tff(3726,plain,
% 47.69/30.14 (~v172(constB19)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3389, 3386, 3717])).
% 47.69/30.14 tff(3727,plain,
% 47.69/30.14 (v145(constB19) | v118(constB19) | v116(constB19)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3708, 1170, 3726, 3721, 3725, 3724])).
% 47.69/30.14 tff(3728,plain,
% 47.69/30.14 (v116(constB19)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3727, 3723, 3722])).
% 47.69/30.14 tff(3729,plain,
% 47.69/30.14 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ((~v116(VarCurr)) | v84(VarCurr, bitIndex1)))),
% 47.69/30.14 inference(bind,[status(th)],[])).
% 47.69/30.14 tff(3730,plain,
% 47.69/30.14 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))),
% 47.69/30.14 inference(quant_intro,[status(thm)],[3729])).
% 47.69/30.14 tff(3731,plain,
% 47.69/30.14 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))),
% 47.69/30.14 inference(rewrite,[status(thm)],[])).
% 47.69/30.14 tff(3732,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 47.69/30.14 tff(3733,plain,
% 47.69/30.14 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))),
% 47.69/30.14 inference(modus_ponens,[status(thm)],[3732, 3731])).
% 47.69/30.14 tff(3734,plain,(
% 47.69/30.14 ![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))),
% 47.69/30.14 inference(skolemize,[status(sab)],[3733])).
% 47.69/30.14 tff(3735,plain,
% 47.69/30.14 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))),
% 47.69/30.14 inference(modus_ponens,[status(thm)],[3734, 3730])).
% 47.69/30.14 tff(3736,plain,
% 47.69/30.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))) | ((~v116(constB19)) | v84(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))) | (~v116(constB19)) | v84(constB19, bitIndex1))),
% 47.69/30.14 inference(rewrite,[status(thm)],[])).
% 47.69/30.14 tff(3737,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))) | ((~v116(constB19)) | v84(constB19, bitIndex1))),
% 47.69/30.14 inference(quant_inst,[status(thm)],[])).
% 47.69/30.14 tff(3738,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))) | (~v116(constB19)) | v84(constB19, bitIndex1)),
% 47.69/30.14 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 47.69/30.14 tff(3739,plain,
% 47.69/30.14 (v84(constB19, bitIndex1)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3738, 3735, 3728])).
% 47.69/30.14 tff(3740,plain,
% 47.69/30.14 (v84(constB18, bitIndex1)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3559, 3739])).
% 47.69/30.14 tff(3741,plain,
% 47.69/30.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB19)) | (~v84(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB19)) | (~v84(constB19, bitIndex2)))),
% 47.69/30.14 inference(rewrite,[status(thm)],[])).
% 47.69/30.14 tff(3742,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB19)) | (~v84(constB19, bitIndex2)))),
% 47.69/30.14 inference(quant_inst,[status(thm)],[])).
% 47.69/30.14 tff(3743,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB19)) | (~v84(constB19, bitIndex2))),
% 47.69/30.14 inference(modus_ponens,[status(thm)],[3742, 3741])).
% 47.69/30.14 tff(3744,plain,
% 47.69/30.14 (~v84(constB19, bitIndex2)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3743, 1047, 3728])).
% 47.69/30.14 tff(3745,plain,
% 47.69/30.14 (~v84(constB18, bitIndex2)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3428, 3744])).
% 47.69/30.14 tff(3746,plain,
% 47.69/30.14 (~v108(constB17)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2579, 334, 3584])).
% 47.69/30.14 tff(3747,plain,
% 47.69/30.14 (v84(constB17, bitIndex0)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2622, 3431, 2501])).
% 47.69/30.14 tff(3748,plain,
% 47.69/30.14 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB17, bitIndex0)) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex2) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB17, bitIndex0)) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex2) | v116(constB17))),
% 47.69/30.14 inference(rewrite,[status(thm)],[])).
% 47.69/30.14 tff(3749,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB17, bitIndex0)) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex2) | v116(constB17))),
% 47.69/30.14 inference(quant_inst,[status(thm)],[])).
% 47.69/30.14 tff(3750,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB17, bitIndex0)) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex2) | v116(constB17)),
% 47.69/30.14 inference(modus_ponens,[status(thm)],[3749, 3748])).
% 47.69/30.14 tff(3751,plain,
% 47.69/30.14 (v116(constB17)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3750, 1825, 3747, 3579, 3439])).
% 47.69/30.14 tff(3752,plain,
% 47.69/30.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB17) | (~v116(constB17)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB17) | (~v116(constB17)))),
% 47.69/30.14 inference(rewrite,[status(thm)],[])).
% 47.69/30.14 tff(3753,plain,
% 47.69/30.14 (((~v116(constB17)) | v110(constB17)) <=> (v110(constB17) | (~v116(constB17)))),
% 47.69/30.14 inference(rewrite,[status(thm)],[])).
% 47.69/30.14 tff(3754,plain,
% 47.69/30.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB17)) | v110(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB17) | (~v116(constB17))))),
% 47.69/30.14 inference(monotonicity,[status(thm)],[3753])).
% 47.69/30.14 tff(3755,plain,
% 47.69/30.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB17)) | v110(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB17) | (~v116(constB17)))),
% 47.69/30.14 inference(transitivity,[status(thm)],[3754, 3752])).
% 47.69/30.14 tff(3756,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB17)) | v110(constB17))),
% 47.69/30.14 inference(quant_inst,[status(thm)],[])).
% 47.69/30.14 tff(3757,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB17) | (~v116(constB17))),
% 47.69/30.14 inference(modus_ponens,[status(thm)],[3756, 3755])).
% 47.69/30.14 tff(3758,plain,
% 47.69/30.14 (v110(constB17)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3757, 1836, 3751])).
% 47.69/30.14 tff(3759,plain,
% 47.69/30.14 (v109(constB17)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2604, 306, 3758])).
% 47.69/30.14 tff(3760,plain,
% 47.69/30.14 ($false),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2608, 320, 3759, 3746])).
% 47.69/30.14 tff(3761,plain,(v94(constB18) | v84(constB18, bitIndex2) | (~v84(constB18, bitIndex0)) | (~v84(constB18, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 47.69/30.14 tff(3762,plain,
% 47.69/30.14 (v94(constB18)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3761, 3745, 3740, 3718])).
% 47.69/30.14 tff(3763,plain,
% 47.69/30.14 (v123(constB18, bitIndex0) | (~v94(constB18))),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2525, 652, 3718])).
% 47.69/30.14 tff(3764,plain,
% 47.69/30.14 (v123(constB18, bitIndex0)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3763, 3762])).
% 47.69/30.14 tff(3765,plain,
% 47.69/30.14 (v121(constB17, bitIndex0)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2518, 3764])).
% 47.69/30.14 tff(3766,plain,
% 47.69/30.14 (v124(constB17, bitIndex0)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2513, 3765])).
% 47.69/30.14 tff(3767,plain,
% 47.69/30.14 (~v145(constB17)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2505, 1550, 3766])).
% 47.69/30.14 tff(3768,plain,
% 47.69/30.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB17)) | (~v124(constB17, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB17)) | (~v124(constB17, bitIndex0)))),
% 47.69/30.14 inference(rewrite,[status(thm)],[])).
% 47.69/30.14 tff(3769,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB17)) | (~v124(constB17, bitIndex0)))),
% 47.69/30.14 inference(quant_inst,[status(thm)],[])).
% 47.69/30.14 tff(3770,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB17)) | (~v124(constB17, bitIndex0))),
% 47.69/30.14 inference(modus_ponens,[status(thm)],[3769, 3768])).
% 47.69/30.14 tff(3771,plain,
% 47.69/30.14 (~v116(constB17)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3770, 2020, 3766])).
% 47.69/30.14 tff(3772,plain,
% 47.69/30.14 (~v113(constB17)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[2637, 593, 3766])).
% 47.69/30.14 tff(3773,plain,
% 47.69/30.14 (v123(constB18, bitIndex1)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3614, 532, 3762, 3740])).
% 47.69/30.14 tff(3774,plain,
% 47.69/30.14 (v121(constB17, bitIndex1)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3619, 3773])).
% 47.69/30.14 tff(3775,plain,
% 47.69/30.14 (v124(constB17, bitIndex1)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3627, 3774])).
% 47.69/30.14 tff(3776,assumption,(v124(constB17, bitIndex1)), introduced(assumption)).
% 47.69/30.14 tff(3777,assumption,(~v145(constB17)), introduced(assumption)).
% 47.69/30.14 tff(3778,assumption,(~v113(constB17)), introduced(assumption)).
% 47.69/30.14 tff(3779,assumption,(~v116(constB17)), introduced(assumption)).
% 47.69/30.14 tff(3780,assumption,(~v94(constB16)), introduced(assumption)).
% 47.69/30.14 tff(3781,plain,
% 47.69/30.14 (v84(constB16, bitIndex1)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3675, 3780, 2202])).
% 47.69/30.14 tff(3782,plain,
% 47.69/30.14 (v84(constB17, bitIndex1)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3654, 3781])).
% 47.69/30.14 tff(3783,plain,
% 47.69/30.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB17)) | (~v84(constB17, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB17)) | (~v84(constB17, bitIndex1)))),
% 47.69/30.14 inference(rewrite,[status(thm)],[])).
% 47.69/30.14 tff(3784,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB17)) | (~v84(constB17, bitIndex1)))),
% 47.69/30.14 inference(quant_inst,[status(thm)],[])).
% 47.69/30.14 tff(3785,plain,
% 47.69/30.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB17)) | (~v84(constB17, bitIndex1))),
% 47.69/30.14 inference(modus_ponens,[status(thm)],[3784, 3783])).
% 47.69/30.14 tff(3786,plain,
% 47.69/30.14 (~v118(constB17)),
% 47.69/30.14 inference(unit_resolution,[status(thm)],[3785, 1069, 3782])).
% 47.69/30.14 tff(3787,plain,
% 47.69/30.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB15, bitIndex2)) | (~nextState(constB15, constB16)) | v94(constB16) | v84(constB16, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB15, bitIndex2)) | (~nextState(constB15, constB16)) | v94(constB16) | v84(constB16, bitIndex2))),
% 47.69/30.14 inference(rewrite,[status(thm)],[])).
% 47.69/30.14 tff(3788,plain,
% 47.69/30.14 (((~nextState(constB15, constB16)) | (~v84(constB15, bitIndex2)) | v94(constB16) | v84(constB16, bitIndex2)) <=> ((~v84(constB15, bitIndex2)) | (~nextState(constB15, constB16)) | v94(constB16) | v84(constB16, bitIndex2))),
% 47.69/30.14 inference(rewrite,[status(thm)],[])).
% 47.69/30.14 tff(3789,plain,
% 47.69/30.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB15, constB16)) | (~v84(constB15, bitIndex2)) | v94(constB16) | v84(constB16, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB15, bitIndex2)) | (~nextState(constB15, constB16)) | v94(constB16) | v84(constB16, bitIndex2)))),
% 47.69/30.14 inference(monotonicity,[status(thm)],[3788])).
% 47.69/30.14 tff(3790,plain,
% 47.69/30.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB15, constB16)) | (~v84(constB15, bitIndex2)) | v94(constB16) | v84(constB16, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB15, bitIndex2)) | (~nextState(constB15, constB16)) | v94(constB16) | v84(constB16, bitIndex2))),
% 47.69/30.15 inference(transitivity,[status(thm)],[3789, 3787])).
% 47.69/30.15 tff(3791,plain,
% 47.69/30.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB15, constB16)) | (~v84(constB15, bitIndex2)) | v94(constB16) | v84(constB16, bitIndex2))),
% 47.69/30.15 inference(quant_inst,[status(thm)],[])).
% 47.69/30.15 tff(3792,plain,
% 47.69/30.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB15, bitIndex2)) | (~nextState(constB15, constB16)) | v94(constB16) | v84(constB16, bitIndex2)),
% 47.69/30.15 inference(modus_ponens,[status(thm)],[3791, 3790])).
% 47.69/30.15 tff(3793,plain,
% 47.69/30.15 ((~v84(constB15, bitIndex2)) | v94(constB16) | v84(constB16, bitIndex2)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3792, 576, 2268])).
% 47.69/30.15 tff(3794,plain,
% 47.69/30.15 (v84(constB16, bitIndex2)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3793, 3780, 2171])).
% 47.69/30.15 tff(3795,plain,
% 47.69/30.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB16, bitIndex2)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB16, bitIndex2)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex2))),
% 47.69/30.15 inference(rewrite,[status(thm)],[])).
% 47.69/30.15 tff(3796,plain,
% 47.69/30.15 (((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex2)) | v94(constB17) | v84(constB17, bitIndex2)) <=> ((~v84(constB16, bitIndex2)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex2))),
% 47.69/30.15 inference(rewrite,[status(thm)],[])).
% 47.69/30.15 tff(3797,plain,
% 47.69/30.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex2)) | v94(constB17) | v84(constB17, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB16, bitIndex2)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex2)))),
% 47.69/30.15 inference(monotonicity,[status(thm)],[3796])).
% 47.69/30.15 tff(3798,plain,
% 47.69/30.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex2)) | v94(constB17) | v84(constB17, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB16, bitIndex2)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex2))),
% 47.69/30.15 inference(transitivity,[status(thm)],[3797, 3795])).
% 47.69/30.15 tff(3799,plain,
% 47.69/30.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex2)) | v94(constB17) | v84(constB17, bitIndex2))),
% 47.69/30.15 inference(quant_inst,[status(thm)],[])).
% 47.69/30.15 tff(3800,plain,
% 47.69/30.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB16, bitIndex2)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex2)),
% 47.69/30.15 inference(modus_ponens,[status(thm)],[3799, 3798])).
% 47.69/30.15 tff(3801,plain,
% 47.69/30.15 ((~v84(constB16, bitIndex2)) | v94(constB17) | v84(constB17, bitIndex2)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3800, 576, 2370])).
% 47.69/30.15 tff(3802,plain,
% 47.69/30.15 ((~v84(constB16, bitIndex2)) | v84(constB17, bitIndex2)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3801, 2382])).
% 47.69/30.15 tff(3803,plain,
% 47.69/30.15 (v84(constB17, bitIndex2)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3802, 3794])).
% 47.69/30.15 tff(3804,plain,
% 47.69/30.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB17)) | (~v84(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB17)) | (~v84(constB17, bitIndex2)))),
% 47.69/30.15 inference(rewrite,[status(thm)],[])).
% 47.69/30.15 tff(3805,plain,
% 47.69/30.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB17)) | (~v84(constB17, bitIndex2)))),
% 47.69/30.15 inference(quant_inst,[status(thm)],[])).
% 47.69/30.15 tff(3806,plain,
% 47.69/30.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB17)) | (~v84(constB17, bitIndex2))),
% 47.69/30.15 inference(modus_ponens,[status(thm)],[3805, 3804])).
% 47.69/30.15 tff(3807,plain,
% 47.69/30.15 (~v115(constB17)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3806, 1036, 3803])).
% 47.69/30.15 tff(3808,plain,
% 47.69/30.15 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB17) | v172(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | (~v124(constB17, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB17) | v172(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | (~v124(constB17, bitIndex1)))),
% 47.69/30.15 inference(rewrite,[status(thm)],[])).
% 47.69/30.15 tff(3809,plain,
% 47.69/30.15 ((v113(constB17) | v145(constB17) | v115(constB17) | v116(constB17) | v172(constB17) | v118(constB17) | (~v124(constB17, bitIndex1))) <=> (v145(constB17) | v172(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | (~v124(constB17, bitIndex1)))),
% 47.69/30.15 inference(rewrite,[status(thm)],[])).
% 47.69/30.15 tff(3810,plain,
% 47.69/30.15 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB17) | v145(constB17) | v115(constB17) | v116(constB17) | v172(constB17) | v118(constB17) | (~v124(constB17, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB17) | v172(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | (~v124(constB17, bitIndex1))))),
% 47.69/30.15 inference(monotonicity,[status(thm)],[3809])).
% 47.69/30.15 tff(3811,plain,
% 47.69/30.15 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB17) | v145(constB17) | v115(constB17) | v116(constB17) | v172(constB17) | v118(constB17) | (~v124(constB17, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB17) | v172(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | (~v124(constB17, bitIndex1)))),
% 47.69/30.15 inference(transitivity,[status(thm)],[3810, 3808])).
% 47.69/30.15 tff(3812,plain,
% 47.69/30.15 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB17) | v145(constB17) | v115(constB17) | v116(constB17) | v172(constB17) | v118(constB17) | (~v124(constB17, bitIndex1)))),
% 47.69/30.15 inference(quant_inst,[status(thm)],[])).
% 47.69/30.15 tff(3813,plain,
% 47.69/30.15 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB17) | v172(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | (~v124(constB17, bitIndex1))),
% 47.69/30.15 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 47.69/30.15 tff(3814,plain,
% 47.69/30.15 (v145(constB17) | v118(constB17) | v116(constB17) | v115(constB17) | v113(constB17) | (~v124(constB17, bitIndex1))),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3813, 1105, 3677])).
% 47.69/30.15 tff(3815,plain,
% 47.69/30.15 ($false),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3814, 3807, 3786, 3779, 3778, 3777, 3776])).
% 47.69/30.15 tff(3816,plain,(v94(constB16) | v116(constB17) | v113(constB17) | v145(constB17) | (~v124(constB17, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 47.69/30.15 tff(3817,plain,
% 47.69/30.15 (v94(constB16)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3816, 3775, 3772, 3767, 3771])).
% 47.69/30.15 tff(3818,plain,
% 47.69/30.15 (~v84(constB16, bitIndex2)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[2363, 3817])).
% 47.69/30.15 tff(3819,plain,
% 47.69/30.15 (~v84(constB17, bitIndex2)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[2390, 3818])).
% 47.69/30.15 tff(3820,plain,
% 47.69/30.15 (~v84(constB16, bitIndex1)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[2431, 3817])).
% 47.69/30.15 tff(3821,plain,
% 47.69/30.15 (~v84(constB17, bitIndex1)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[2440, 3820])).
% 47.69/30.15 tff(3822,plain,
% 47.69/30.15 (v84(constB17, bitIndex0)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[2632, 205, 3821, 3819, 3772])).
% 47.69/30.15 tff(3823,plain,
% 47.69/30.15 ($false),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[2478, 1268, 3822, 3821, 3819, 3767])).
% 47.69/30.15 tff(3824,plain,(v84(constB21, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 47.69/30.15 tff(3825,plain,
% 47.69/30.15 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB21, bitIndex0)) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v116(constB21))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB21, bitIndex0)) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v116(constB21))),
% 47.69/30.15 inference(rewrite,[status(thm)],[])).
% 47.69/30.15 tff(3826,plain,
% 47.69/30.15 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB21, bitIndex0)) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v116(constB21))),
% 47.69/30.15 inference(quant_inst,[status(thm)],[])).
% 47.69/30.15 tff(3827,plain,
% 47.69/30.15 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB21, bitIndex0)) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v116(constB21)),
% 47.69/30.15 inference(modus_ponens,[status(thm)],[3826, 3825])).
% 47.69/30.15 tff(3828,plain,
% 47.69/30.15 ((~v84(constB21, bitIndex0)) | v84(constB21, bitIndex2) | v116(constB21)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3827, 1825, 3824])).
% 47.69/30.15 tff(3829,plain,
% 47.69/30.15 (v116(constB21)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3828, 2929, 2898])).
% 47.69/30.15 tff(3830,plain,
% 47.69/30.15 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB21)) | v124(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB21)) | v124(constB21, bitIndex2))),
% 47.69/30.15 inference(rewrite,[status(thm)],[])).
% 47.69/30.15 tff(3831,plain,
% 47.69/30.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB21)) | v124(constB21, bitIndex2))),
% 47.69/30.15 inference(quant_inst,[status(thm)],[])).
% 47.69/30.15 tff(3832,plain,
% 47.69/30.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB21)) | v124(constB21, bitIndex2)),
% 47.69/30.15 inference(modus_ponens,[status(thm)],[3831, 3830])).
% 47.69/30.15 tff(3833,plain,
% 47.69/30.15 (v124(constB21, bitIndex2)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3832, 1923, 3829])).
% 47.69/30.15 tff(3834,assumption,(v26(constB21)), introduced(assumption)).
% 47.69/30.15 tff(3835,plain,
% 47.69/30.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 47.69/30.15 inference(quant_inst,[status(thm)],[])).
% 47.69/30.15 tff(3836,plain,
% 47.69/30.15 ($false),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3835, 55, 3834])).
% 47.69/30.15 tff(3837,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 47.69/30.15 tff(3838,plain,
% 47.69/30.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2))),
% 47.69/30.15 inference(rewrite,[status(thm)],[])).
% 47.69/30.15 tff(3839,plain,
% 47.69/30.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2))),
% 47.69/30.15 inference(quant_inst,[status(thm)],[])).
% 47.69/30.15 tff(3840,plain,
% 47.69/30.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2)),
% 47.69/30.15 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 47.69/30.15 tff(3841,plain,
% 47.69/30.15 ((~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3840, 374, 3837])).
% 47.69/30.15 tff(3842,plain,
% 47.69/30.15 (v121(constB21, bitIndex2)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3841, 3833])).
% 47.69/30.15 tff(3843,plain,
% 47.69/30.15 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 47.69/30.15 inference(rewrite,[status(thm)],[])).
% 47.69/30.15 tff(3844,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 47.69/30.15 tff(3845,plain,
% 47.69/30.15 (nextState(constB21, constB22)),
% 47.69/30.15 inference(modus_ponens,[status(thm)],[3844, 3843])).
% 47.69/30.15 tff(3846,plain,
% 47.69/30.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2))),
% 47.69/30.15 inference(rewrite,[status(thm)],[])).
% 47.69/30.15 tff(3847,plain,
% 47.69/30.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2))),
% 47.69/30.15 inference(quant_inst,[status(thm)],[])).
% 47.69/30.15 tff(3848,plain,
% 47.69/30.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2)),
% 47.69/30.15 inference(modus_ponens,[status(thm)],[3847, 3846])).
% 47.69/30.15 tff(3849,plain,
% 47.69/30.15 ((~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3848, 389, 3845])).
% 47.69/30.15 tff(3850,plain,
% 47.69/30.15 (v123(constB22, bitIndex2)),
% 47.69/30.15 inference(unit_resolution,[status(thm)],[3849, 3842])).
% 47.69/30.15 tff(3851,assumption,(~v94(constB22)), introduced(assumption)).
% 47.69/30.15 tff(3852,plain,
% 47.69/30.15 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22)))),
% 47.69/30.15 inference(rewrite,[status(thm)],[])).
% 47.69/30.15 tff(3853,plain,
% 47.69/30.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22)))),
% 47.69/30.15 inference(quant_inst,[status(thm)],[])).
% 47.69/30.15 tff(3854,plain,
% 47.69/30.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22))),
% 47.69/30.16 inference(modus_ponens,[status(thm)],[3853, 3852])).
% 47.69/30.16 tff(3855,plain,
% 47.69/30.16 (~v98(constB22)),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3854, 423, 3845, 2874])).
% 47.69/30.16 tff(3856,plain,
% 47.69/30.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB21, constB22)) | v96(constB22) | v98(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB21, constB22)) | v96(constB22) | v98(constB22))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3857,plain,
% 47.69/30.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB21, constB22)) | v96(constB22) | v98(constB22))),
% 47.69/30.16 inference(quant_inst,[status(thm)],[])).
% 47.69/30.16 tff(3858,plain,
% 47.69/30.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB21, constB22)) | v96(constB22) | v98(constB22)),
% 47.69/30.16 inference(modus_ponens,[status(thm)],[3857, 3856])).
% 47.69/30.16 tff(3859,plain,
% 47.69/30.16 (v96(constB22) | v98(constB22)),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3858, 437, 3845])).
% 47.69/30.16 tff(3860,plain,
% 47.69/30.16 (v96(constB22)),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3859, 3855])).
% 47.69/30.16 tff(3861,plain,
% 47.69/30.16 (v1(constB22) <=> v1(constB22)),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3862,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 47.69/30.16 tff(3863,plain,
% 47.69/30.16 (v1(constB22)),
% 47.69/30.16 inference(modus_ponens,[status(thm)],[3862, 3861])).
% 47.69/30.16 tff(3864,plain,
% 47.69/30.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22)))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3865,plain,
% 47.69/30.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22)))),
% 47.69/30.16 inference(quant_inst,[status(thm)],[])).
% 47.69/30.16 tff(3866,plain,
% 47.69/30.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22))),
% 47.69/30.16 inference(modus_ponens,[status(thm)],[3865, 3864])).
% 47.69/30.16 tff(3867,plain,
% 47.69/30.16 (v95(constB22) | (~v96(constB22))),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3866, 455, 3845, 3863])).
% 47.69/30.16 tff(3868,plain,
% 47.69/30.16 (v95(constB22)),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3867, 3860])).
% 47.69/30.16 tff(3869,plain,
% 47.69/30.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3870,plain,
% 47.69/30.16 (((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22)) <=> ((~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3871,plain,
% 47.69/30.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22))))),
% 47.69/30.16 inference(monotonicity,[status(thm)],[3870])).
% 47.69/30.16 tff(3872,plain,
% 47.69/30.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))),
% 47.69/30.16 inference(transitivity,[status(thm)],[3871, 3869])).
% 47.69/30.16 tff(3873,plain,
% 47.69/30.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22))),
% 47.69/30.16 inference(quant_inst,[status(thm)],[])).
% 47.69/30.16 tff(3874,plain,
% 47.69/30.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22))),
% 47.69/30.16 inference(modus_ponens,[status(thm)],[3873, 3872])).
% 47.69/30.16 tff(3875,plain,
% 47.69/30.16 (v94(constB22) | (~v95(constB22)) | (~v104(constB22))),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3874, 470, 3845])).
% 47.69/30.16 tff(3876,plain,
% 47.69/30.16 (v94(constB22) | (~v104(constB22))),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3875, 3868])).
% 47.69/30.16 tff(3877,plain,
% 47.69/30.16 (~v104(constB22)),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3876, 3851])).
% 47.69/30.16 tff(3878,plain,
% 47.69/30.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3879,plain,
% 47.69/30.16 (((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22)) <=> ((~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3880,plain,
% 47.69/30.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21))))),
% 47.69/30.16 inference(monotonicity,[status(thm)],[3879])).
% 47.69/30.16 tff(3881,plain,
% 47.69/30.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))),
% 47.69/30.16 inference(transitivity,[status(thm)],[3880, 3878])).
% 47.69/30.16 tff(3882,plain,
% 47.69/30.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22))),
% 47.69/30.16 inference(quant_inst,[status(thm)],[])).
% 47.69/30.16 tff(3883,plain,
% 47.69/30.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21))),
% 47.69/30.16 inference(modus_ponens,[status(thm)],[3882, 3881])).
% 47.69/30.16 tff(3884,plain,
% 47.69/30.16 (v104(constB22) | (~v102(constB21))),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3883, 489, 3845])).
% 47.69/30.16 tff(3885,plain,
% 47.69/30.16 (~v102(constB21)),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3884, 3877])).
% 47.69/30.16 tff(3886,plain,
% 47.69/30.16 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB21) | (~v106(constB21)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB21) | (~v106(constB21)))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3887,plain,
% 47.69/30.16 (((~v106(constB21)) | v102(constB21)) <=> (v102(constB21) | (~v106(constB21)))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3888,plain,
% 47.69/30.16 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB21)) | v102(constB21))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB21) | (~v106(constB21))))),
% 47.69/30.16 inference(monotonicity,[status(thm)],[3887])).
% 47.69/30.16 tff(3889,plain,
% 47.69/30.16 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB21)) | v102(constB21))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB21) | (~v106(constB21)))),
% 47.69/30.16 inference(transitivity,[status(thm)],[3888, 3886])).
% 47.69/30.16 tff(3890,plain,
% 47.69/30.16 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB21)) | v102(constB21))),
% 47.69/30.16 inference(quant_inst,[status(thm)],[])).
% 47.69/30.16 tff(3891,plain,
% 47.69/30.16 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB21) | (~v106(constB21))),
% 47.69/30.16 inference(modus_ponens,[status(thm)],[3890, 3889])).
% 47.69/30.16 tff(3892,plain,
% 47.69/30.16 (~v106(constB21)),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3891, 504, 3885])).
% 47.69/30.16 tff(3893,plain,
% 47.69/30.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | v106(constB21) | (~v107(constB21)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB21) | v106(constB21) | (~v107(constB21)))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3894,plain,
% 47.69/30.16 ((v26(constB21) | (~v107(constB21)) | v106(constB21)) <=> (v26(constB21) | v106(constB21) | (~v107(constB21)))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3895,plain,
% 47.69/30.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | (~v107(constB21)) | v106(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | v106(constB21) | (~v107(constB21))))),
% 47.69/30.16 inference(monotonicity,[status(thm)],[3894])).
% 47.69/30.16 tff(3896,plain,
% 47.69/30.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | (~v107(constB21)) | v106(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB21) | v106(constB21) | (~v107(constB21)))),
% 47.69/30.16 inference(transitivity,[status(thm)],[3895, 3893])).
% 47.69/30.16 tff(3897,plain,
% 47.69/30.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | (~v107(constB21)) | v106(constB21))),
% 47.69/30.16 inference(quant_inst,[status(thm)],[])).
% 47.69/30.16 tff(3898,plain,
% 47.69/30.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB21) | v106(constB21) | (~v107(constB21))),
% 47.69/30.16 inference(modus_ponens,[status(thm)],[3897, 3896])).
% 47.69/30.16 tff(3899,plain,
% 47.69/30.16 (v106(constB21) | (~v107(constB21))),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3898, 348, 3837])).
% 47.69/30.16 tff(3900,plain,
% 47.69/30.16 (~v107(constB21)),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3899, 3892])).
% 47.69/30.16 tff(3901,plain,
% 47.69/30.16 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB21) | (~v108(constB21)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB21) | (~v108(constB21)))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3902,plain,
% 47.69/30.16 (((~v108(constB21)) | v107(constB21)) <=> (v107(constB21) | (~v108(constB21)))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3903,plain,
% 47.69/30.16 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB21)) | v107(constB21))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB21) | (~v108(constB21))))),
% 47.69/30.16 inference(monotonicity,[status(thm)],[3902])).
% 47.69/30.16 tff(3904,plain,
% 47.69/30.16 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB21)) | v107(constB21))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB21) | (~v108(constB21)))),
% 47.69/30.16 inference(transitivity,[status(thm)],[3903, 3901])).
% 47.69/30.16 tff(3905,plain,
% 47.69/30.16 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB21)) | v107(constB21))),
% 47.69/30.16 inference(quant_inst,[status(thm)],[])).
% 47.69/30.16 tff(3906,plain,
% 47.69/30.16 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB21) | (~v108(constB21))),
% 47.69/30.16 inference(modus_ponens,[status(thm)],[3905, 3904])).
% 47.69/30.16 tff(3907,plain,
% 47.69/30.16 (~v108(constB21)),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3906, 334, 3900])).
% 47.69/30.16 tff(3908,assumption,(~v84(constB21, bitIndex2)), introduced(assumption)).
% 47.69/30.16 tff(3909,assumption,(v84(constB21, bitIndex1)), introduced(assumption)).
% 47.69/30.16 tff(3910,assumption,(~v84(constB22, bitIndex0)), introduced(assumption)).
% 47.69/30.16 tff(3911,plain,
% 47.69/30.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex0))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3912,plain,
% 47.69/30.16 (((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex0)) | v94(constB22) | v84(constB22, bitIndex0)) <=> ((~v84(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex0))),
% 47.69/30.16 inference(rewrite,[status(thm)],[])).
% 47.69/30.16 tff(3913,plain,
% 47.69/30.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex0)) | v94(constB22) | v84(constB22, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex0)))),
% 47.69/30.16 inference(monotonicity,[status(thm)],[3912])).
% 47.69/30.16 tff(3914,plain,
% 47.69/30.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex0)) | v94(constB22) | v84(constB22, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex0))),
% 47.69/30.16 inference(transitivity,[status(thm)],[3913, 3911])).
% 47.69/30.16 tff(3915,plain,
% 47.69/30.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex0)) | v94(constB22) | v84(constB22, bitIndex0))),
% 47.69/30.16 inference(quant_inst,[status(thm)],[])).
% 47.69/30.16 tff(3916,plain,
% 47.69/30.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex0)),
% 47.69/30.16 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 47.69/30.16 tff(3917,plain,
% 47.69/30.16 ((~v84(constB21, bitIndex0)) | v94(constB22) | v84(constB22, bitIndex0)),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3916, 1439, 3845])).
% 47.69/30.16 tff(3918,plain,
% 47.69/30.16 (~v84(constB21, bitIndex0)),
% 47.69/30.16 inference(unit_resolution,[status(thm)],[3917, 3851, 3910])).
% 47.69/30.16 tff(3919,plain,
% 47.69/30.16 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB21, bitIndex0) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v115(constB21))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB21, bitIndex0) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v115(constB21))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3920,plain,
% 47.69/30.17 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB21, bitIndex0) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v115(constB21))),
% 47.69/30.17 inference(quant_inst,[status(thm)],[])).
% 47.69/30.17 tff(3921,plain,
% 47.69/30.17 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB21, bitIndex0) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v115(constB21)),
% 47.69/30.17 inference(modus_ponens,[status(thm)],[3920, 3919])).
% 47.69/30.17 tff(3922,plain,
% 47.69/30.17 (v84(constB21, bitIndex0) | (~v84(constB21, bitIndex1)) | v115(constB21)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3921, 1594, 3908])).
% 47.69/30.17 tff(3923,plain,
% 47.69/30.17 (v115(constB21)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3922, 3918, 3909])).
% 47.69/30.17 tff(3924,plain,
% 47.69/30.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB21)) | v111(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB21)) | v111(constB21))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3925,plain,
% 47.69/30.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB21)) | v111(constB21))),
% 47.69/30.17 inference(quant_inst,[status(thm)],[])).
% 47.69/30.17 tff(3926,plain,
% 47.69/30.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB21)) | v111(constB21)),
% 47.69/30.17 inference(modus_ponens,[status(thm)],[3925, 3924])).
% 47.69/30.17 tff(3927,plain,
% 47.69/30.17 (v111(constB21)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3926, 1605, 3923])).
% 47.69/30.17 tff(3928,plain,
% 47.69/30.17 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB21)) | v110(constB21))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB21)) | v110(constB21))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3929,plain,
% 47.69/30.17 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB21)) | v110(constB21))),
% 47.69/30.17 inference(quant_inst,[status(thm)],[])).
% 47.69/30.17 tff(3930,plain,
% 47.69/30.17 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB21)) | v110(constB21)),
% 47.69/30.17 inference(modus_ponens,[status(thm)],[3929, 3928])).
% 47.69/30.17 tff(3931,plain,
% 47.69/30.17 (v110(constB21)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3930, 292, 3927])).
% 47.69/30.17 tff(3932,plain,
% 47.69/30.17 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB21) | (~v110(constB21)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB21) | (~v110(constB21)))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3933,plain,
% 47.69/30.17 (((~v110(constB21)) | v109(constB21)) <=> (v109(constB21) | (~v110(constB21)))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3934,plain,
% 47.69/30.17 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB21)) | v109(constB21))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB21) | (~v110(constB21))))),
% 47.69/30.17 inference(monotonicity,[status(thm)],[3933])).
% 47.69/30.17 tff(3935,plain,
% 47.69/30.17 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB21)) | v109(constB21))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB21) | (~v110(constB21)))),
% 47.69/30.17 inference(transitivity,[status(thm)],[3934, 3932])).
% 47.69/30.17 tff(3936,plain,
% 47.69/30.17 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB21)) | v109(constB21))),
% 47.69/30.17 inference(quant_inst,[status(thm)],[])).
% 47.69/30.17 tff(3937,plain,
% 47.69/30.17 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB21) | (~v110(constB21))),
% 47.69/30.17 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 47.69/30.17 tff(3938,plain,
% 47.69/30.17 (v109(constB21)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3937, 306, 3931])).
% 47.69/30.17 tff(3939,plain,
% 47.69/30.17 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v109(constB21)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v109(constB21)))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3940,plain,
% 47.69/30.17 (((~v109(constB21)) | v108(constB21)) <=> (v108(constB21) | (~v109(constB21)))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3941,plain,
% 47.69/30.17 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v109(constB21))))),
% 47.69/30.17 inference(monotonicity,[status(thm)],[3940])).
% 47.69/30.17 tff(3942,plain,
% 47.69/30.17 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v109(constB21)))),
% 47.69/30.17 inference(transitivity,[status(thm)],[3941, 3939])).
% 47.69/30.17 tff(3943,plain,
% 47.69/30.17 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB21)) | v108(constB21))),
% 47.69/30.17 inference(quant_inst,[status(thm)],[])).
% 47.69/30.17 tff(3944,plain,
% 47.69/30.17 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v109(constB21))),
% 47.69/30.17 inference(modus_ponens,[status(thm)],[3943, 3942])).
% 47.69/30.17 tff(3945,plain,
% 47.69/30.17 ($false),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3944, 320, 3938, 3907])).
% 47.69/30.17 tff(3946,plain,(v94(constB22) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v84(constB22, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 47.69/30.17 tff(3947,plain,
% 47.69/30.17 (v84(constB22, bitIndex0)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3946, 3851, 3908, 3824])).
% 47.69/30.17 tff(3948,plain,
% 47.69/30.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex0)))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3949,plain,
% 47.69/30.17 (((~nextState(constB21, constB22)) | v84(constB21, bitIndex0) | v94(constB22) | (~v84(constB22, bitIndex0))) <=> (v84(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex0)))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3950,plain,
% 47.69/30.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v84(constB21, bitIndex0) | v94(constB22) | (~v84(constB22, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex0))))),
% 47.69/30.17 inference(monotonicity,[status(thm)],[3949])).
% 47.69/30.17 tff(3951,plain,
% 47.69/30.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v84(constB21, bitIndex0) | v94(constB22) | (~v84(constB22, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex0)))),
% 47.69/30.17 inference(transitivity,[status(thm)],[3950, 3948])).
% 47.69/30.17 tff(3952,plain,
% 47.69/30.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v84(constB21, bitIndex0) | v94(constB22) | (~v84(constB22, bitIndex0)))),
% 47.69/30.17 inference(quant_inst,[status(thm)],[])).
% 47.69/30.17 tff(3953,plain,
% 47.69/30.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex0))),
% 47.69/30.17 inference(modus_ponens,[status(thm)],[3952, 3951])).
% 47.69/30.17 tff(3954,plain,
% 47.69/30.17 (v84(constB21, bitIndex0) | v94(constB22) | (~v84(constB22, bitIndex0))),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3953, 184, 3845])).
% 47.69/30.17 tff(3955,plain,
% 47.69/30.17 (v84(constB21, bitIndex0)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3954, 3947, 3851])).
% 47.69/30.17 tff(3956,plain,
% 47.69/30.17 (v116(constB21)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3828, 3955, 3908])).
% 47.69/30.17 tff(3957,plain,
% 47.69/30.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB21)) | v110(constB21))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB21)) | v110(constB21))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3958,plain,
% 47.69/30.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB21)) | v110(constB21))),
% 47.69/30.17 inference(quant_inst,[status(thm)],[])).
% 47.69/30.17 tff(3959,plain,
% 47.69/30.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB21)) | v110(constB21)),
% 47.69/30.17 inference(modus_ponens,[status(thm)],[3958, 3957])).
% 47.69/30.17 tff(3960,plain,
% 47.69/30.17 (v110(constB21)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3959, 1836, 3956])).
% 47.69/30.17 tff(3961,plain,
% 47.69/30.17 (v109(constB21)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3937, 306, 3960])).
% 47.69/30.17 tff(3962,plain,
% 47.69/30.17 ($false),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3944, 320, 3961, 3907])).
% 47.69/30.17 tff(3963,plain,(v94(constB22) | v84(constB21, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 47.69/30.17 tff(3964,plain,
% 47.69/30.17 (v94(constB22)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3963, 2898])).
% 47.69/30.17 tff(3965,plain,
% 47.69/30.17 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3966,plain,
% 47.69/30.17 ((v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2))) <=> (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3967,plain,
% 47.69/30.17 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22))))),
% 47.69/30.17 inference(monotonicity,[status(thm)],[3966])).
% 47.69/30.17 tff(3968,plain,
% 47.69/30.17 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))),
% 47.69/30.17 inference(transitivity,[status(thm)],[3967, 3965])).
% 47.69/30.17 tff(3969,plain,
% 47.69/30.17 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2)))),
% 47.69/30.17 inference(quant_inst,[status(thm)],[])).
% 47.69/30.17 tff(3970,plain,
% 47.69/30.17 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22))),
% 47.69/30.17 inference(modus_ponens,[status(thm)],[3969, 3968])).
% 47.69/30.17 tff(3971,plain,
% 47.69/30.17 (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2))),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3970, 405, 3964])).
% 47.69/30.17 tff(3972,plain,
% 47.69/30.17 (v84(constB22, bitIndex2)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3971, 3850])).
% 47.69/30.17 tff(3973,plain,
% 47.69/30.17 ((~v1(constB23)) <=> (~v1(constB23))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3974,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 47.69/30.17 tff(3975,plain,
% 47.69/30.17 (~v1(constB23)),
% 47.69/30.17 inference(modus_ponens,[status(thm)],[3974, 3973])).
% 47.69/30.17 tff(3976,plain,
% 47.69/30.17 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3977,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 47.69/30.17 tff(3978,plain,
% 47.69/30.17 (nextState(constB22, constB23)),
% 47.69/30.17 inference(modus_ponens,[status(thm)],[3977, 3976])).
% 47.69/30.17 tff(3979,plain,
% 47.69/30.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3980,plain,
% 47.69/30.17 (((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3981,plain,
% 47.69/30.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23))))),
% 47.69/30.17 inference(monotonicity,[status(thm)],[3980])).
% 47.69/30.17 tff(3982,plain,
% 47.69/30.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))),
% 47.69/30.17 inference(transitivity,[status(thm)],[3981, 3979])).
% 47.69/30.17 tff(3983,plain,
% 47.69/30.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23))),
% 47.69/30.17 inference(quant_inst,[status(thm)],[])).
% 47.69/30.17 tff(3984,plain,
% 47.69/30.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23))),
% 47.69/30.17 inference(modus_ponens,[status(thm)],[3983, 3982])).
% 47.69/30.17 tff(3985,plain,
% 47.69/30.17 (~v95(constB23)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3984, 110, 3978, 3975])).
% 47.69/30.17 tff(3986,plain,
% 47.69/30.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23)))),
% 47.69/30.17 inference(rewrite,[status(thm)],[])).
% 47.69/30.17 tff(3987,plain,
% 47.69/30.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23)))),
% 47.69/30.17 inference(quant_inst,[status(thm)],[])).
% 47.69/30.17 tff(3988,plain,
% 47.69/30.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23))),
% 47.69/30.17 inference(modus_ponens,[status(thm)],[3987, 3986])).
% 47.69/30.17 tff(3989,plain,
% 47.69/30.17 (v95(constB23) | (~v94(constB23))),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3988, 127, 3978])).
% 47.69/30.17 tff(3990,plain,
% 47.69/30.17 (~v94(constB23)),
% 47.69/30.17 inference(unit_resolution,[status(thm)],[3989, 3985])).
% 47.69/30.18 tff(3991,plain,
% 47.69/30.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(3992,plain,
% 47.69/30.18 (((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2)) <=> ((~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(3993,plain,
% 47.69/30.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2)))),
% 47.69/30.18 inference(monotonicity,[status(thm)],[3992])).
% 47.69/30.18 tff(3994,plain,
% 47.69/30.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))),
% 47.69/30.18 inference(transitivity,[status(thm)],[3993, 3991])).
% 47.69/30.18 tff(3995,plain,
% 47.69/30.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2))),
% 47.69/30.18 inference(quant_inst,[status(thm)],[])).
% 47.69/30.18 tff(3996,plain,
% 47.69/30.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2)),
% 47.69/30.18 inference(modus_ponens,[status(thm)],[3995, 3994])).
% 47.69/30.18 tff(3997,plain,
% 47.69/30.18 ((~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[3996, 576, 3978])).
% 47.69/30.18 tff(3998,plain,
% 47.69/30.18 ((~v84(constB22, bitIndex2)) | v84(constB23, bitIndex2)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[3997, 3990])).
% 47.69/30.18 tff(3999,plain,
% 47.69/30.18 (v84(constB23, bitIndex2)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[3998, 3972])).
% 47.69/30.18 tff(4000,plain,
% 47.69/30.18 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB21)) | (~v124(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB21)) | (~v124(constB21, bitIndex1)))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(4001,plain,
% 47.69/30.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB21)) | (~v124(constB21, bitIndex1)))),
% 47.69/30.18 inference(quant_inst,[status(thm)],[])).
% 47.69/30.18 tff(4002,plain,
% 47.69/30.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB21)) | (~v124(constB21, bitIndex1))),
% 47.69/30.18 inference(modus_ponens,[status(thm)],[4001, 4000])).
% 47.69/30.18 tff(4003,plain,
% 47.69/30.18 (~v124(constB21, bitIndex1)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4002, 1979, 3829])).
% 47.69/30.18 tff(4004,plain,
% 47.69/30.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(4005,plain,
% 47.69/30.18 ((v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1))) <=> ((~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(4006,plain,
% 47.69/30.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1)))),
% 47.69/30.18 inference(monotonicity,[status(thm)],[4005])).
% 47.69/30.18 tff(4007,plain,
% 47.69/30.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))),
% 47.69/30.18 inference(transitivity,[status(thm)],[4006, 4004])).
% 47.69/30.18 tff(4008,plain,
% 47.69/30.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1)))),
% 47.69/30.18 inference(quant_inst,[status(thm)],[])).
% 47.69/30.18 tff(4009,plain,
% 47.69/30.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1)),
% 47.69/30.18 inference(modus_ponens,[status(thm)],[4008, 4007])).
% 47.69/30.18 tff(4010,plain,
% 47.69/30.18 ((~v121(constB21, bitIndex1)) | v124(constB21, bitIndex1)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4009, 233, 3837])).
% 47.69/30.18 tff(4011,plain,
% 47.69/30.18 (~v121(constB21, bitIndex1)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4010, 4003])).
% 47.69/30.18 tff(4012,plain,
% 47.69/30.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1)))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(4013,plain,
% 47.69/30.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1)))),
% 47.69/30.18 inference(quant_inst,[status(thm)],[])).
% 47.69/30.18 tff(4014,plain,
% 47.69/30.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1))),
% 47.69/30.18 inference(modus_ponens,[status(thm)],[4013, 4012])).
% 47.69/30.18 tff(4015,plain,
% 47.69/30.18 (v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1))),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4014, 254, 3845])).
% 47.69/30.18 tff(4016,plain,
% 47.69/30.18 (~v123(constB22, bitIndex1)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4015, 4011])).
% 47.69/30.18 tff(4017,plain,
% 47.69/30.18 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(4018,plain,
% 47.69/30.18 (((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1)) <=> ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(4019,plain,
% 47.69/30.18 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22))))),
% 47.69/30.18 inference(monotonicity,[status(thm)],[4018])).
% 47.69/30.18 tff(4020,plain,
% 47.69/30.18 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))),
% 47.69/30.18 inference(transitivity,[status(thm)],[4019, 4017])).
% 47.69/30.18 tff(4021,plain,
% 47.69/30.18 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1))),
% 47.69/30.18 inference(quant_inst,[status(thm)],[])).
% 47.69/30.18 tff(4022,plain,
% 47.69/30.18 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22))),
% 47.69/30.18 inference(modus_ponens,[status(thm)],[4021, 4020])).
% 47.69/30.18 tff(4023,plain,
% 47.69/30.18 ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4022, 532, 3964])).
% 47.69/30.18 tff(4024,plain,
% 47.69/30.18 (~v84(constB22, bitIndex1)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4023, 4016])).
% 47.69/30.18 tff(4025,plain,
% 47.69/30.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(4026,plain,
% 47.69/30.18 (((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1))) <=> (v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(4027,plain,
% 47.69/30.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1))))),
% 47.69/30.18 inference(monotonicity,[status(thm)],[4026])).
% 47.69/30.18 tff(4028,plain,
% 47.69/30.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 47.69/30.18 inference(transitivity,[status(thm)],[4027, 4025])).
% 47.69/30.18 tff(4029,plain,
% 47.69/30.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 47.69/30.18 inference(quant_inst,[status(thm)],[])).
% 47.69/30.18 tff(4030,plain,
% 47.69/30.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1))),
% 47.69/30.18 inference(modus_ponens,[status(thm)],[4029, 4028])).
% 47.69/30.18 tff(4031,plain,
% 47.69/30.18 (v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1))),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4030, 163, 3978])).
% 47.69/30.18 tff(4032,plain,
% 47.69/30.18 (v84(constB22, bitIndex1) | (~v84(constB23, bitIndex1))),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4031, 3990])).
% 47.69/30.18 tff(4033,plain,
% 47.69/30.18 (~v84(constB23, bitIndex1)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4032, 4024])).
% 47.69/30.18 tff(4034,plain,
% 47.69/30.18 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB21)) | (~v124(constB21, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB21)) | (~v124(constB21, bitIndex0)))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(4035,plain,
% 47.69/30.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB21)) | (~v124(constB21, bitIndex0)))),
% 47.69/30.18 inference(quant_inst,[status(thm)],[])).
% 47.69/30.18 tff(4036,plain,
% 47.69/30.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB21)) | (~v124(constB21, bitIndex0))),
% 47.69/30.18 inference(modus_ponens,[status(thm)],[4035, 4034])).
% 47.69/30.18 tff(4037,plain,
% 47.69/30.18 (~v124(constB21, bitIndex0)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4036, 2020, 3829])).
% 47.69/30.18 tff(4038,plain,
% 47.69/30.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB21, bitIndex0)) | v26(constB21) | v124(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB21, bitIndex0)) | v26(constB21) | v124(constB21, bitIndex0))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(4039,plain,
% 47.69/30.18 ((v26(constB21) | v124(constB21, bitIndex0) | (~v121(constB21, bitIndex0))) <=> ((~v121(constB21, bitIndex0)) | v26(constB21) | v124(constB21, bitIndex0))),
% 47.69/30.18 inference(rewrite,[status(thm)],[])).
% 47.69/30.18 tff(4040,plain,
% 47.69/30.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB21) | v124(constB21, bitIndex0) | (~v121(constB21, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB21, bitIndex0)) | v26(constB21) | v124(constB21, bitIndex0)))),
% 47.69/30.18 inference(monotonicity,[status(thm)],[4039])).
% 47.69/30.18 tff(4041,plain,
% 47.69/30.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB21) | v124(constB21, bitIndex0) | (~v121(constB21, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB21, bitIndex0)) | v26(constB21) | v124(constB21, bitIndex0))),
% 47.69/30.18 inference(transitivity,[status(thm)],[4040, 4038])).
% 47.69/30.18 tff(4042,plain,
% 47.69/30.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB21) | v124(constB21, bitIndex0) | (~v121(constB21, bitIndex0)))),
% 47.69/30.18 inference(quant_inst,[status(thm)],[])).
% 47.69/30.18 tff(4043,plain,
% 47.69/30.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB21, bitIndex0)) | v26(constB21) | v124(constB21, bitIndex0)),
% 47.69/30.18 inference(modus_ponens,[status(thm)],[4042, 4041])).
% 47.69/30.18 tff(4044,plain,
% 47.69/30.18 ((~v121(constB21, bitIndex0)) | v124(constB21, bitIndex0)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4043, 607, 3837])).
% 47.69/30.18 tff(4045,plain,
% 47.69/30.18 (~v121(constB21, bitIndex0)),
% 47.69/30.18 inference(unit_resolution,[status(thm)],[4044, 4037])).
% 47.69/30.18 tff(4046,plain,
% 47.69/30.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v121(constB21, bitIndex0) | (~v123(constB22, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v121(constB21, bitIndex0) | (~v123(constB22, bitIndex0)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4047,plain,
% 47.69/30.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v121(constB21, bitIndex0) | (~v123(constB22, bitIndex0)))),
% 47.69/30.19 inference(quant_inst,[status(thm)],[])).
% 47.69/30.19 tff(4048,plain,
% 47.69/30.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v121(constB21, bitIndex0) | (~v123(constB22, bitIndex0))),
% 47.69/30.19 inference(modus_ponens,[status(thm)],[4047, 4046])).
% 47.69/30.19 tff(4049,plain,
% 47.69/30.19 (v121(constB21, bitIndex0) | (~v123(constB22, bitIndex0))),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4048, 637, 3845])).
% 47.69/30.19 tff(4050,plain,
% 47.69/30.19 (~v123(constB22, bitIndex0)),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4049, 4045])).
% 47.69/30.19 tff(4051,plain,
% 47.69/30.19 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0) | (~v94(constB22)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0) | (~v94(constB22)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4052,plain,
% 47.69/30.19 (((~v84(constB22, bitIndex0)) | (~v94(constB22)) | v123(constB22, bitIndex0)) <=> ((~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0) | (~v94(constB22)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4053,plain,
% 47.69/30.19 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | (~v94(constB22)) | v123(constB22, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0) | (~v94(constB22))))),
% 47.69/30.19 inference(monotonicity,[status(thm)],[4052])).
% 47.69/30.19 tff(4054,plain,
% 47.69/30.19 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | (~v94(constB22)) | v123(constB22, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0) | (~v94(constB22)))),
% 47.69/30.19 inference(transitivity,[status(thm)],[4053, 4051])).
% 47.69/30.19 tff(4055,plain,
% 47.69/30.19 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | (~v94(constB22)) | v123(constB22, bitIndex0))),
% 47.69/30.19 inference(quant_inst,[status(thm)],[])).
% 47.69/30.19 tff(4056,plain,
% 47.69/30.19 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0) | (~v94(constB22))),
% 47.69/30.19 inference(modus_ponens,[status(thm)],[4055, 4054])).
% 47.69/30.19 tff(4057,plain,
% 47.69/30.19 ((~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0)),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4056, 652, 3964])).
% 47.69/30.19 tff(4058,plain,
% 47.69/30.19 (~v84(constB22, bitIndex0)),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4057, 4050])).
% 47.69/30.19 tff(4059,plain,
% 47.69/30.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex0)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4060,plain,
% 47.69/30.19 (((~nextState(constB22, constB23)) | v84(constB22, bitIndex0) | v94(constB23) | (~v84(constB23, bitIndex0))) <=> (v84(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex0)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4061,plain,
% 47.69/30.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex0) | v94(constB23) | (~v84(constB23, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex0))))),
% 47.69/30.19 inference(monotonicity,[status(thm)],[4060])).
% 47.69/30.19 tff(4062,plain,
% 47.69/30.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex0) | v94(constB23) | (~v84(constB23, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex0)))),
% 47.69/30.19 inference(transitivity,[status(thm)],[4061, 4059])).
% 47.69/30.19 tff(4063,plain,
% 47.69/30.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex0) | v94(constB23) | (~v84(constB23, bitIndex0)))),
% 47.69/30.19 inference(quant_inst,[status(thm)],[])).
% 47.69/30.19 tff(4064,plain,
% 47.69/30.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex0))),
% 47.69/30.19 inference(modus_ponens,[status(thm)],[4063, 4062])).
% 47.69/30.19 tff(4065,plain,
% 47.69/30.19 (v84(constB22, bitIndex0) | v94(constB23) | (~v84(constB23, bitIndex0))),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4064, 184, 3978])).
% 47.69/30.19 tff(4066,plain,
% 47.69/30.19 (v84(constB22, bitIndex0) | (~v84(constB23, bitIndex0))),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4065, 3990])).
% 47.69/30.19 tff(4067,plain,
% 47.69/30.19 (~v84(constB23, bitIndex0)),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4066, 4058])).
% 47.69/30.19 tff(4068,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB23, bitIndex0) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v172(constB23))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB23, bitIndex0) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v172(constB23))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4069,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB23, bitIndex0) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v172(constB23))),
% 47.69/30.19 inference(quant_inst,[status(thm)],[])).
% 47.69/30.19 tff(4070,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB23, bitIndex0) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v172(constB23)),
% 47.69/30.19 inference(modus_ponens,[status(thm)],[4069, 4068])).
% 47.69/30.19 tff(4071,plain,
% 47.69/30.19 (v172(constB23)),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4070, 679, 4067, 4033, 3999])).
% 47.69/30.19 tff(4072,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB23) | (~v172(constB23)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB23) | (~v172(constB23)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4073,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB23) | (~v172(constB23)))),
% 47.69/30.19 inference(quant_inst,[status(thm)],[])).
% 47.69/30.19 tff(4074,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB23) | (~v172(constB23))),
% 47.69/30.19 inference(modus_ponens,[status(thm)],[4073, 4072])).
% 47.69/30.19 tff(4075,plain,
% 47.69/30.19 (v109(constB23)),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4074, 740, 4071])).
% 47.69/30.19 tff(4076,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v109(constB23)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v109(constB23)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4077,plain,
% 47.69/30.19 (((~v109(constB23)) | v108(constB23)) <=> (v108(constB23) | (~v109(constB23)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4078,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v109(constB23))))),
% 47.69/30.19 inference(monotonicity,[status(thm)],[4077])).
% 47.69/30.19 tff(4079,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v109(constB23)))),
% 47.69/30.19 inference(transitivity,[status(thm)],[4078, 4076])).
% 47.69/30.19 tff(4080,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB23)) | v108(constB23))),
% 47.69/30.19 inference(quant_inst,[status(thm)],[])).
% 47.69/30.19 tff(4081,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v109(constB23))),
% 47.69/30.19 inference(modus_ponens,[status(thm)],[4080, 4079])).
% 47.69/30.19 tff(4082,plain,
% 47.69/30.19 (v108(constB23)),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4081, 320, 4075])).
% 47.69/30.19 tff(4083,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB23) | (~v108(constB23)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB23) | (~v108(constB23)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4084,plain,
% 47.69/30.19 (((~v108(constB23)) | v107(constB23)) <=> (v107(constB23) | (~v108(constB23)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4085,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB23)) | v107(constB23))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB23) | (~v108(constB23))))),
% 47.69/30.19 inference(monotonicity,[status(thm)],[4084])).
% 47.69/30.19 tff(4086,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB23)) | v107(constB23))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB23) | (~v108(constB23)))),
% 47.69/30.19 inference(transitivity,[status(thm)],[4085, 4083])).
% 47.69/30.19 tff(4087,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB23)) | v107(constB23))),
% 47.69/30.19 inference(quant_inst,[status(thm)],[])).
% 47.69/30.19 tff(4088,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB23) | (~v108(constB23))),
% 47.69/30.19 inference(modus_ponens,[status(thm)],[4087, 4086])).
% 47.69/30.19 tff(4089,plain,
% 47.69/30.19 (v107(constB23)),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4088, 334, 4082])).
% 47.69/30.19 tff(4090,assumption,(v26(constB23)), introduced(assumption)).
% 47.69/30.19 tff(4091,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 47.69/30.19 inference(quant_inst,[status(thm)],[])).
% 47.69/30.19 tff(4092,plain,
% 47.69/30.19 ($false),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4091, 55, 4090])).
% 47.69/30.19 tff(4093,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 47.69/30.19 tff(4094,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | v106(constB23) | (~v107(constB23)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB23) | v106(constB23) | (~v107(constB23)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4095,plain,
% 47.69/30.19 ((v26(constB23) | (~v107(constB23)) | v106(constB23)) <=> (v26(constB23) | v106(constB23) | (~v107(constB23)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4096,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | (~v107(constB23)) | v106(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | v106(constB23) | (~v107(constB23))))),
% 47.69/30.19 inference(monotonicity,[status(thm)],[4095])).
% 47.69/30.19 tff(4097,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | (~v107(constB23)) | v106(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB23) | v106(constB23) | (~v107(constB23)))),
% 47.69/30.19 inference(transitivity,[status(thm)],[4096, 4094])).
% 47.69/30.19 tff(4098,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | (~v107(constB23)) | v106(constB23))),
% 47.69/30.19 inference(quant_inst,[status(thm)],[])).
% 47.69/30.19 tff(4099,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB23) | v106(constB23) | (~v107(constB23))),
% 47.69/30.19 inference(modus_ponens,[status(thm)],[4098, 4097])).
% 47.69/30.19 tff(4100,plain,
% 47.69/30.19 (v106(constB23) | (~v107(constB23))),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4099, 348, 4093])).
% 47.69/30.19 tff(4101,plain,
% 47.69/30.19 (v106(constB23)),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4100, 4089])).
% 47.69/30.19 tff(4102,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB23) | (~v106(constB23)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB23) | (~v106(constB23)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4103,plain,
% 47.69/30.19 (((~v106(constB23)) | v102(constB23)) <=> (v102(constB23) | (~v106(constB23)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4104,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB23)) | v102(constB23))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB23) | (~v106(constB23))))),
% 47.69/30.19 inference(monotonicity,[status(thm)],[4103])).
% 47.69/30.19 tff(4105,plain,
% 47.69/30.19 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB23)) | v102(constB23))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB23) | (~v106(constB23)))),
% 47.69/30.19 inference(transitivity,[status(thm)],[4104, 4102])).
% 47.69/30.19 tff(4106,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB23)) | v102(constB23))),
% 47.69/30.19 inference(quant_inst,[status(thm)],[])).
% 47.69/30.19 tff(4107,plain,
% 47.69/30.19 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB23) | (~v106(constB23))),
% 47.69/30.19 inference(modus_ponens,[status(thm)],[4106, 4105])).
% 47.69/30.19 tff(4108,plain,
% 47.69/30.19 (v102(constB23)),
% 47.69/30.19 inference(unit_resolution,[status(thm)],[4107, 504, 4101])).
% 47.69/30.19 tff(4109,plain,
% 47.69/30.19 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4110,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 47.69/30.19 tff(4111,plain,
% 47.69/30.19 (nextState(constB23, constB24)),
% 47.69/30.19 inference(modus_ponens,[status(thm)],[4110, 4109])).
% 47.69/30.19 tff(4112,plain,
% 47.69/30.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.19 tff(4113,plain,
% 47.69/30.19 (((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24)) <=> ((~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))),
% 47.69/30.19 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4114,plain,
% 47.69/30.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23))))),
% 47.69/30.20 inference(monotonicity,[status(thm)],[4113])).
% 47.69/30.20 tff(4115,plain,
% 47.69/30.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))),
% 47.69/30.20 inference(transitivity,[status(thm)],[4114, 4112])).
% 47.69/30.20 tff(4116,plain,
% 47.69/30.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24))),
% 47.69/30.20 inference(quant_inst,[status(thm)],[])).
% 47.69/30.20 tff(4117,plain,
% 47.69/30.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23))),
% 47.69/30.20 inference(modus_ponens,[status(thm)],[4116, 4115])).
% 47.69/30.20 tff(4118,plain,
% 47.69/30.20 (v104(constB24) | (~v102(constB23))),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4117, 489, 4111])).
% 47.69/30.20 tff(4119,plain,
% 47.69/30.20 (v104(constB24)),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4118, 4108])).
% 47.69/30.20 tff(4120,plain,
% 47.69/30.20 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24)))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4121,plain,
% 47.69/30.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24)))),
% 47.69/30.20 inference(quant_inst,[status(thm)],[])).
% 47.69/30.20 tff(4122,plain,
% 47.69/30.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24))),
% 47.69/30.20 inference(modus_ponens,[status(thm)],[4121, 4120])).
% 47.69/30.20 tff(4123,plain,
% 47.69/30.20 (~v98(constB24)),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4122, 423, 4111, 3975])).
% 47.69/30.20 tff(4124,plain,
% 47.69/30.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB23, constB24)) | v96(constB24) | v98(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB23, constB24)) | v96(constB24) | v98(constB24))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4125,plain,
% 47.69/30.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB23, constB24)) | v96(constB24) | v98(constB24))),
% 47.69/30.20 inference(quant_inst,[status(thm)],[])).
% 47.69/30.20 tff(4126,plain,
% 47.69/30.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB23, constB24)) | v96(constB24) | v98(constB24)),
% 47.69/30.20 inference(modus_ponens,[status(thm)],[4125, 4124])).
% 47.69/30.20 tff(4127,plain,
% 47.69/30.20 (v96(constB24) | v98(constB24)),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4126, 437, 4111])).
% 47.69/30.20 tff(4128,plain,
% 47.69/30.20 (v96(constB24)),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4127, 4123])).
% 47.69/30.20 tff(4129,plain,
% 47.69/30.20 (v1(constB24) <=> v1(constB24)),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4130,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 47.69/30.20 tff(4131,plain,
% 47.69/30.20 (v1(constB24)),
% 47.69/30.20 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 47.69/30.20 tff(4132,plain,
% 47.69/30.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24)))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4133,plain,
% 47.69/30.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24)))),
% 47.69/30.20 inference(quant_inst,[status(thm)],[])).
% 47.69/30.20 tff(4134,plain,
% 47.69/30.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24))),
% 47.69/30.20 inference(modus_ponens,[status(thm)],[4133, 4132])).
% 47.69/30.20 tff(4135,plain,
% 47.69/30.20 (v95(constB24) | (~v96(constB24))),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4134, 455, 4111, 4131])).
% 47.69/30.20 tff(4136,plain,
% 47.69/30.20 (v95(constB24)),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4135, 4128])).
% 47.69/30.20 tff(4137,plain,
% 47.69/30.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4138,plain,
% 47.69/30.20 (((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24)) <=> ((~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4139,plain,
% 47.69/30.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24))))),
% 47.69/30.20 inference(monotonicity,[status(thm)],[4138])).
% 47.69/30.20 tff(4140,plain,
% 47.69/30.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))),
% 47.69/30.20 inference(transitivity,[status(thm)],[4139, 4137])).
% 47.69/30.20 tff(4141,plain,
% 47.69/30.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24))),
% 47.69/30.20 inference(quant_inst,[status(thm)],[])).
% 47.69/30.20 tff(4142,plain,
% 47.69/30.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24))),
% 47.69/30.20 inference(modus_ponens,[status(thm)],[4141, 4140])).
% 47.69/30.20 tff(4143,plain,
% 47.69/30.20 (v94(constB24) | (~v95(constB24)) | (~v104(constB24))),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4142, 470, 4111])).
% 47.69/30.20 tff(4144,plain,
% 47.69/30.20 (v94(constB24) | (~v104(constB24))),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4143, 4136])).
% 47.69/30.20 tff(4145,plain,
% 47.69/30.20 (v94(constB24)),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4144, 4119])).
% 47.69/30.20 tff(4146,plain,
% 47.69/30.20 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB23)) | (~v124(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB23)) | (~v124(constB23, bitIndex0)))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4147,plain,
% 47.69/30.20 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB23)) | (~v124(constB23, bitIndex0)))),
% 47.69/30.20 inference(quant_inst,[status(thm)],[])).
% 47.69/30.20 tff(4148,plain,
% 47.69/30.20 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB23)) | (~v124(constB23, bitIndex0))),
% 47.69/30.20 inference(modus_ponens,[status(thm)],[4147, 4146])).
% 47.69/30.20 tff(4149,plain,
% 47.69/30.20 (~v124(constB23, bitIndex0)),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4148, 921, 4071])).
% 47.69/30.20 tff(4150,plain,
% 47.69/30.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4151,plain,
% 47.69/30.20 ((v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0))) <=> ((~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4152,plain,
% 47.69/30.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0)))),
% 47.69/30.20 inference(monotonicity,[status(thm)],[4151])).
% 47.69/30.20 tff(4153,plain,
% 47.69/30.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))),
% 47.69/30.20 inference(transitivity,[status(thm)],[4152, 4150])).
% 47.69/30.20 tff(4154,plain,
% 47.69/30.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0)))),
% 47.69/30.20 inference(quant_inst,[status(thm)],[])).
% 47.69/30.20 tff(4155,plain,
% 47.69/30.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0)),
% 47.69/30.20 inference(modus_ponens,[status(thm)],[4154, 4153])).
% 47.69/30.20 tff(4156,plain,
% 47.69/30.20 ((~v121(constB23, bitIndex0)) | v124(constB23, bitIndex0)),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4155, 607, 4093])).
% 47.69/30.20 tff(4157,plain,
% 47.69/30.20 (~v121(constB23, bitIndex0)),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4156, 4149])).
% 47.69/30.20 tff(4158,plain,
% 47.69/30.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0)))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4159,plain,
% 47.69/30.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0)))),
% 47.69/30.20 inference(quant_inst,[status(thm)],[])).
% 47.69/30.20 tff(4160,plain,
% 47.69/30.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0))),
% 47.69/30.20 inference(modus_ponens,[status(thm)],[4159, 4158])).
% 47.69/30.20 tff(4161,plain,
% 47.69/30.20 (v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0))),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4160, 637, 4111])).
% 47.69/30.20 tff(4162,plain,
% 47.69/30.20 (~v123(constB24, bitIndex0)),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4161, 4157])).
% 47.69/30.20 tff(4163,plain,
% 47.69/30.20 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4164,plain,
% 47.69/30.20 (((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0)) <=> ((~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4165,plain,
% 47.69/30.20 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24))))),
% 47.69/30.20 inference(monotonicity,[status(thm)],[4164])).
% 47.69/30.20 tff(4166,plain,
% 47.69/30.20 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))),
% 47.69/30.20 inference(transitivity,[status(thm)],[4165, 4163])).
% 47.69/30.20 tff(4167,plain,
% 47.69/30.20 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0))),
% 47.69/30.20 inference(quant_inst,[status(thm)],[])).
% 47.69/30.20 tff(4168,plain,
% 47.69/30.20 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24))),
% 47.69/30.20 inference(modus_ponens,[status(thm)],[4167, 4166])).
% 47.69/30.20 tff(4169,plain,
% 47.69/30.20 ((~v84(constB24, bitIndex0)) | (~v94(constB24))),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4168, 652, 4162])).
% 47.69/30.20 tff(4170,plain,
% 47.69/30.20 (~v84(constB24, bitIndex0)),
% 47.69/30.20 inference(unit_resolution,[status(thm)],[4169, 4145])).
% 47.69/30.20 tff(4171,plain,
% 47.69/30.20 ((~v1(constB25)) <=> (~v1(constB25))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4172,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 47.69/30.20 tff(4173,plain,
% 47.69/30.20 (~v1(constB25)),
% 47.69/30.20 inference(modus_ponens,[status(thm)],[4172, 4171])).
% 47.69/30.20 tff(4174,plain,
% 47.69/30.20 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4175,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 47.69/30.20 tff(4176,plain,
% 47.69/30.20 (nextState(constB24, constB25)),
% 47.69/30.20 inference(modus_ponens,[status(thm)],[4175, 4174])).
% 47.69/30.20 tff(4177,plain,
% 47.69/30.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))),
% 47.69/30.20 inference(rewrite,[status(thm)],[])).
% 47.69/30.20 tff(4178,plain,
% 47.69/30.20 (((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))),
% 47.69/30.21 inference(rewrite,[status(thm)],[])).
% 47.69/30.21 tff(4179,plain,
% 47.69/30.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25))))),
% 47.69/30.21 inference(monotonicity,[status(thm)],[4178])).
% 47.69/30.21 tff(4180,plain,
% 47.69/30.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))),
% 47.69/30.21 inference(transitivity,[status(thm)],[4179, 4177])).
% 47.69/30.21 tff(4181,plain,
% 47.69/30.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25))),
% 47.69/30.21 inference(quant_inst,[status(thm)],[])).
% 47.69/30.21 tff(4182,plain,
% 47.69/30.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25))),
% 47.69/30.21 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 47.69/30.21 tff(4183,plain,
% 47.69/30.21 (~v95(constB25)),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4182, 110, 4176, 4173])).
% 47.69/30.21 tff(4184,plain,
% 47.69/30.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25)))),
% 47.69/30.21 inference(rewrite,[status(thm)],[])).
% 47.69/30.21 tff(4185,plain,
% 47.69/30.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25)))),
% 47.69/30.21 inference(quant_inst,[status(thm)],[])).
% 47.69/30.21 tff(4186,plain,
% 47.69/30.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25))),
% 47.69/30.21 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 47.69/30.21 tff(4187,plain,
% 47.69/30.21 (v95(constB25) | (~v94(constB25))),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4186, 127, 4176])).
% 47.69/30.21 tff(4188,plain,
% 47.69/30.21 (~v94(constB25)),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4187, 4183])).
% 47.69/30.21 tff(4189,plain,
% 47.69/30.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 47.69/30.21 inference(rewrite,[status(thm)],[])).
% 47.69/30.21 tff(4190,plain,
% 47.69/30.21 (((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0))) <=> (v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 47.69/30.21 inference(rewrite,[status(thm)],[])).
% 47.69/30.21 tff(4191,plain,
% 47.69/30.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0))))),
% 47.69/30.21 inference(monotonicity,[status(thm)],[4190])).
% 47.69/30.21 tff(4192,plain,
% 47.69/30.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 47.69/30.21 inference(transitivity,[status(thm)],[4191, 4189])).
% 47.69/30.21 tff(4193,plain,
% 47.69/30.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 47.69/30.21 inference(quant_inst,[status(thm)],[])).
% 47.69/30.21 tff(4194,plain,
% 47.69/30.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0))),
% 47.69/30.21 inference(modus_ponens,[status(thm)],[4193, 4192])).
% 47.69/30.21 tff(4195,plain,
% 47.69/30.21 (v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0))),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4194, 184, 4176])).
% 47.69/30.21 tff(4196,plain,
% 47.69/30.21 (v84(constB24, bitIndex0) | (~v84(constB25, bitIndex0))),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4195, 4188])).
% 47.69/30.21 tff(4197,plain,
% 47.69/30.21 (~v84(constB25, bitIndex0)),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4196, 4170])).
% 47.69/30.21 tff(4198,plain,
% 47.69/30.21 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB23)) | v124(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB23)) | v124(constB23, bitIndex1))),
% 47.69/30.21 inference(rewrite,[status(thm)],[])).
% 47.69/30.21 tff(4199,plain,
% 47.69/30.21 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB23)) | v124(constB23, bitIndex1))),
% 47.69/30.21 inference(quant_inst,[status(thm)],[])).
% 47.69/30.21 tff(4200,plain,
% 47.69/30.21 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB23)) | v124(constB23, bitIndex1)),
% 47.69/30.21 inference(modus_ponens,[status(thm)],[4199, 4198])).
% 47.69/30.21 tff(4201,plain,
% 47.69/30.21 (v124(constB23, bitIndex1)),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4200, 843, 4071])).
% 47.69/30.21 tff(4202,plain,
% 47.69/30.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1))),
% 47.69/30.21 inference(rewrite,[status(thm)],[])).
% 47.69/30.21 tff(4203,plain,
% 47.69/30.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1))),
% 47.69/30.21 inference(quant_inst,[status(thm)],[])).
% 47.69/30.21 tff(4204,plain,
% 47.69/30.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1)),
% 47.69/30.21 inference(modus_ponens,[status(thm)],[4203, 4202])).
% 47.69/30.21 tff(4205,plain,
% 47.69/30.21 ((~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1)),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4204, 857, 4093])).
% 47.69/30.21 tff(4206,plain,
% 47.69/30.21 (v121(constB23, bitIndex1)),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4205, 4201])).
% 47.69/30.21 tff(4207,plain,
% 47.69/30.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1))),
% 47.69/30.21 inference(rewrite,[status(thm)],[])).
% 47.69/30.21 tff(4208,plain,
% 47.69/30.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1))),
% 47.69/30.21 inference(quant_inst,[status(thm)],[])).
% 47.69/30.21 tff(4209,plain,
% 47.69/30.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1)),
% 47.69/30.21 inference(modus_ponens,[status(thm)],[4208, 4207])).
% 47.69/30.21 tff(4210,plain,
% 47.69/30.21 ((~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1)),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4209, 872, 4111])).
% 47.69/30.21 tff(4211,plain,
% 47.69/30.21 (v123(constB24, bitIndex1)),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4210, 4206])).
% 47.69/30.21 tff(4212,plain,
% 47.69/30.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))),
% 47.69/30.21 inference(rewrite,[status(thm)],[])).
% 47.69/30.21 tff(4213,plain,
% 47.69/30.21 ((v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1))) <=> (v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))),
% 47.69/30.21 inference(rewrite,[status(thm)],[])).
% 47.69/30.21 tff(4214,plain,
% 47.69/30.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24))))),
% 47.69/30.21 inference(monotonicity,[status(thm)],[4213])).
% 47.69/30.21 tff(4215,plain,
% 47.69/30.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))),
% 47.69/30.21 inference(transitivity,[status(thm)],[4214, 4212])).
% 47.69/30.21 tff(4216,plain,
% 47.69/30.21 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1)))),
% 47.69/30.21 inference(quant_inst,[status(thm)],[])).
% 47.69/30.21 tff(4217,plain,
% 47.69/30.21 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24))),
% 47.69/30.21 inference(modus_ponens,[status(thm)],[4216, 4215])).
% 47.69/30.21 tff(4218,plain,
% 47.69/30.21 (v84(constB24, bitIndex1) | (~v94(constB24))),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4217, 887, 4211])).
% 47.69/30.21 tff(4219,plain,
% 47.69/30.21 (v84(constB24, bitIndex1)),
% 47.69/30.21 inference(unit_resolution,[status(thm)],[4218, 4145])).
% 47.69/30.21 tff(4220,plain,
% 47.69/30.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))),
% 47.69/30.21 inference(rewrite,[status(thm)],[])).
% 47.69/30.22 tff(4221,plain,
% 47.69/30.22 (((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1)) <=> ((~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))),
% 47.69/30.22 inference(rewrite,[status(thm)],[])).
% 47.69/30.22 tff(4222,plain,
% 47.69/30.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1)))),
% 47.69/30.22 inference(monotonicity,[status(thm)],[4221])).
% 47.69/30.22 tff(4223,plain,
% 47.69/30.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))),
% 47.69/30.22 inference(transitivity,[status(thm)],[4222, 4220])).
% 47.69/30.22 tff(4224,plain,
% 47.69/30.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1))),
% 47.69/30.22 inference(quant_inst,[status(thm)],[])).
% 47.69/30.22 tff(4225,plain,
% 47.69/30.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1)),
% 47.69/30.22 inference(modus_ponens,[status(thm)],[4224, 4223])).
% 47.69/30.22 tff(4226,plain,
% 47.69/30.22 ((~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1)),
% 47.69/30.22 inference(unit_resolution,[status(thm)],[4225, 905, 4176])).
% 47.69/30.22 tff(4227,plain,
% 47.69/30.22 ((~v84(constB24, bitIndex1)) | v84(constB25, bitIndex1)),
% 47.69/30.22 inference(unit_resolution,[status(thm)],[4226, 4188])).
% 47.69/30.22 tff(4228,plain,
% 47.69/30.22 (v84(constB25, bitIndex1)),
% 47.69/30.22 inference(unit_resolution,[status(thm)],[4227, 4219])).
% 47.69/30.22 tff(4229,plain,
% 47.69/30.22 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB25)) | (~v84(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB25)) | (~v84(constB25, bitIndex1)))),
% 47.69/30.22 inference(rewrite,[status(thm)],[])).
% 47.69/30.22 tff(4230,plain,
% 47.69/30.22 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB25)) | (~v84(constB25, bitIndex1)))),
% 47.69/30.22 inference(quant_inst,[status(thm)],[])).
% 47.69/30.22 tff(4231,plain,
% 47.69/30.22 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB25)) | (~v84(constB25, bitIndex1))),
% 47.69/30.22 inference(modus_ponens,[status(thm)],[4230, 4229])).
% 47.69/30.22 tff(4232,plain,
% 47.69/30.22 (~v172(constB25)),
% 47.69/30.22 inference(unit_resolution,[status(thm)],[4231, 1080, 4228])).
% 47.69/30.22 tff(4233,assumption,(~v84(constB25, bitIndex0)), introduced(assumption)).
% 47.69/30.22 tff(4234,plain,
% 47.69/30.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex0))),
% 47.69/30.22 inference(rewrite,[status(thm)],[])).
% 47.77/30.22 tff(4235,plain,
% 47.77/30.22 (((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex0)) | v94(constB25) | v84(constB25, bitIndex0)) <=> ((~v84(constB24, bitIndex0)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex0))),
% 47.77/30.22 inference(rewrite,[status(thm)],[])).
% 47.77/30.22 tff(4236,plain,
% 47.77/30.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex0)) | v94(constB25) | v84(constB25, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex0)))),
% 47.77/30.22 inference(monotonicity,[status(thm)],[4235])).
% 47.77/30.22 tff(4237,plain,
% 47.77/30.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex0)) | v94(constB25) | v84(constB25, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex0))),
% 47.77/30.22 inference(transitivity,[status(thm)],[4236, 4234])).
% 47.77/30.22 tff(4238,plain,
% 47.77/30.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex0)) | v94(constB25) | v84(constB25, bitIndex0))),
% 47.77/30.22 inference(quant_inst,[status(thm)],[])).
% 47.77/30.22 tff(4239,plain,
% 47.77/30.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex0)),
% 47.77/30.22 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 47.77/30.22 tff(4240,plain,
% 47.77/30.22 ((~v84(constB24, bitIndex0)) | v94(constB25) | v84(constB25, bitIndex0)),
% 47.77/30.22 inference(unit_resolution,[status(thm)],[4239, 1439, 4176])).
% 47.77/30.22 tff(4241,plain,
% 47.77/30.22 ((~v84(constB24, bitIndex0)) | v84(constB25, bitIndex0)),
% 47.77/30.22 inference(unit_resolution,[status(thm)],[4240, 4188])).
% 47.77/30.22 tff(4242,plain,
% 47.77/30.22 (~v84(constB24, bitIndex0)),
% 47.77/30.22 inference(unit_resolution,[status(thm)],[4241, 4233])).
% 47.77/30.22 tff(4243,assumption,(v124(constB25, bitIndex2)), introduced(assumption)).
% 47.77/30.22 tff(4244,plain,
% 47.77/30.22 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v118(constB25)) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v118(constB25)) | (~v124(constB25, bitIndex2)))),
% 47.77/30.22 inference(rewrite,[status(thm)],[])).
% 47.77/30.22 tff(4245,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v118(constB25)) | (~v124(constB25, bitIndex2)))),
% 47.77/30.22 inference(quant_inst,[status(thm)],[])).
% 47.77/30.22 tff(4246,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v118(constB25)) | (~v124(constB25, bitIndex2))),
% 47.77/30.22 inference(modus_ponens,[status(thm)],[4245, 4244])).
% 47.77/30.22 tff(4247,plain,
% 47.77/30.22 (~v118(constB25)),
% 47.77/30.22 inference(unit_resolution,[status(thm)],[4246, 3600, 4243])).
% 47.77/30.22 tff(4248,plain,
% 47.77/30.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB25)) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB25)) | (~v124(constB25, bitIndex2)))),
% 47.77/30.22 inference(rewrite,[status(thm)],[])).
% 47.77/30.22 tff(4249,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB25)) | (~v124(constB25, bitIndex2)))),
% 47.77/30.22 inference(quant_inst,[status(thm)],[])).
% 47.77/30.22 tff(4250,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB25)) | (~v124(constB25, bitIndex2))),
% 47.77/30.22 inference(modus_ponens,[status(thm)],[4249, 4248])).
% 47.77/30.22 tff(4251,plain,
% 47.77/30.22 (~v115(constB25)),
% 47.77/30.22 inference(unit_resolution,[status(thm)],[4250, 1690, 4243])).
% 47.77/30.22 tff(4252,assumption,(~v172(constB25)), introduced(assumption)).
% 47.77/30.22 tff(4253,plain,
% 47.77/30.22 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB25)) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB25)) | (~v124(constB25, bitIndex2)))),
% 47.77/30.22 inference(rewrite,[status(thm)],[])).
% 47.77/30.22 tff(4254,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB25)) | (~v124(constB25, bitIndex2)))),
% 47.77/30.22 inference(quant_inst,[status(thm)],[])).
% 47.77/30.22 tff(4255,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB25)) | (~v124(constB25, bitIndex2))),
% 47.77/30.22 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 47.77/30.22 tff(4256,plain,
% 47.77/30.22 (~v145(constB25)),
% 47.77/30.22 inference(unit_resolution,[status(thm)],[4255, 1456, 4243])).
% 47.77/30.22 tff(4257,plain,
% 47.77/30.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB25)) | v84(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB25)) | v84(constB25, bitIndex0))),
% 47.77/30.22 inference(rewrite,[status(thm)],[])).
% 47.77/30.22 tff(4258,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB25)) | v84(constB25, bitIndex0))),
% 47.77/30.22 inference(quant_inst,[status(thm)],[])).
% 47.77/30.22 tff(4259,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB25)) | v84(constB25, bitIndex0)),
% 47.77/30.22 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 47.77/30.22 tff(4260,plain,
% 47.77/30.22 (~v116(constB25)),
% 47.77/30.22 inference(unit_resolution,[status(thm)],[4259, 2699, 4233])).
% 47.77/30.22 tff(4261,plain,
% 47.77/30.22 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))),
% 47.77/30.22 inference(rewrite,[status(thm)],[])).
% 47.77/30.22 tff(4262,plain,
% 47.77/30.22 ((v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2))) <=> (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))),
% 47.77/30.22 inference(rewrite,[status(thm)],[])).
% 47.77/30.22 tff(4263,plain,
% 47.77/30.22 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2))))),
% 47.77/30.22 inference(monotonicity,[status(thm)],[4262])).
% 47.77/30.22 tff(4264,plain,
% 47.77/30.22 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))),
% 47.77/30.22 inference(transitivity,[status(thm)],[4263, 4261])).
% 47.77/30.22 tff(4265,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2)))),
% 47.77/30.22 inference(quant_inst,[status(thm)],[])).
% 47.77/30.22 tff(4266,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2))),
% 47.77/30.22 inference(modus_ponens,[status(thm)],[4265, 4264])).
% 47.77/30.22 tff(4267,plain,
% 47.77/30.22 (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25)),
% 47.77/30.22 inference(unit_resolution,[status(thm)],[4266, 1170, 4243])).
% 47.77/30.22 tff(4268,plain,
% 47.77/30.22 (v113(constB25)),
% 47.77/30.22 inference(unit_resolution,[status(thm)],[4267, 4260, 4256, 4252, 4251, 4247])).
% 47.77/30.22 tff(4269,plain,
% 47.77/30.22 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB25)) | (~v84(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB25)) | (~v84(constB25, bitIndex1)))),
% 47.77/30.22 inference(rewrite,[status(thm)],[])).
% 47.77/30.22 tff(4270,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB25)) | (~v84(constB25, bitIndex1)))),
% 47.77/30.22 inference(quant_inst,[status(thm)],[])).
% 47.77/30.22 tff(4271,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB25)) | (~v84(constB25, bitIndex1))),
% 47.77/30.22 inference(modus_ponens,[status(thm)],[4270, 4269])).
% 47.77/30.22 tff(4272,plain,
% 47.77/30.22 (~v84(constB25, bitIndex1)),
% 47.77/30.22 inference(unit_resolution,[status(thm)],[4271, 1058, 4268])).
% 47.77/30.22 tff(4273,plain,
% 47.77/30.22 (~v84(constB24, bitIndex1)),
% 47.77/30.22 inference(unit_resolution,[status(thm)],[4227, 4272])).
% 47.77/30.22 tff(4274,plain,
% 47.77/30.22 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 47.77/30.22 inference(bind,[status(th)],[])).
% 47.77/30.22 tff(4275,plain,
% 47.77/30.22 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.77/30.22 inference(quant_intro,[status(thm)],[4274])).
% 47.77/30.22 tff(4276,plain,
% 47.77/30.22 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.77/30.22 inference(rewrite,[status(thm)],[])).
% 47.77/30.22 tff(4277,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 47.77/30.22 tff(4278,plain,
% 47.77/30.22 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.77/30.22 inference(modus_ponens,[status(thm)],[4277, 4276])).
% 47.77/30.22 tff(4279,plain,(
% 47.77/30.22 ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.77/30.22 inference(skolemize,[status(sab)],[4278])).
% 47.77/30.22 tff(4280,plain,
% 47.77/30.22 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.77/30.22 inference(modus_ponens,[status(thm)],[4279, 4275])).
% 47.77/30.22 tff(4281,plain,
% 47.77/30.22 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB25)) | (~v84(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB25)) | (~v84(constB25, bitIndex2)))),
% 47.77/30.22 inference(rewrite,[status(thm)],[])).
% 47.77/30.22 tff(4282,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB25)) | (~v84(constB25, bitIndex2)))),
% 47.77/30.22 inference(quant_inst,[status(thm)],[])).
% 47.77/30.22 tff(4283,plain,
% 47.77/30.22 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB25)) | (~v84(constB25, bitIndex2))),
% 47.77/30.23 inference(modus_ponens,[status(thm)],[4282, 4281])).
% 47.77/30.23 tff(4284,plain,
% 47.77/30.23 (~v84(constB25, bitIndex2)),
% 47.77/30.23 inference(unit_resolution,[status(thm)],[4283, 4280, 4268])).
% 47.77/30.23 tff(4285,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))),
% 47.77/30.23 inference(rewrite,[status(thm)],[])).
% 47.77/30.23 tff(4286,plain,
% 47.77/30.23 (((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2)) <=> ((~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))),
% 47.77/30.23 inference(rewrite,[status(thm)],[])).
% 47.77/30.23 tff(4287,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2)))),
% 47.77/30.23 inference(monotonicity,[status(thm)],[4286])).
% 47.77/30.23 tff(4288,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))),
% 47.77/30.23 inference(transitivity,[status(thm)],[4287, 4285])).
% 47.77/30.23 tff(4289,plain,
% 47.77/30.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2))),
% 47.77/30.23 inference(quant_inst,[status(thm)],[])).
% 47.77/30.23 tff(4290,plain,
% 47.77/30.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2)),
% 47.77/30.23 inference(modus_ponens,[status(thm)],[4289, 4288])).
% 47.77/30.23 tff(4291,plain,
% 47.77/30.23 ((~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2)),
% 47.77/30.23 inference(unit_resolution,[status(thm)],[4290, 576, 4176])).
% 47.77/30.23 tff(4292,plain,
% 47.77/30.23 ((~v84(constB24, bitIndex2)) | v84(constB25, bitIndex2)),
% 47.77/30.23 inference(unit_resolution,[status(thm)],[4291, 4188])).
% 47.77/30.23 tff(4293,plain,
% 47.77/30.23 (~v84(constB24, bitIndex2)),
% 47.77/30.23 inference(unit_resolution,[status(thm)],[4292, 4284])).
% 47.77/30.23 tff(4294,assumption,(~v84(constB24, bitIndex0)), introduced(assumption)).
% 47.77/30.23 tff(4295,assumption,(~v94(constB24)), introduced(assumption)).
% 47.77/30.23 tff(4296,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex0))),
% 47.77/30.23 inference(rewrite,[status(thm)],[])).
% 47.77/30.23 tff(4297,plain,
% 47.77/30.23 (((~nextState(constB23, constB24)) | (~v84(constB23, bitIndex0)) | v94(constB24) | v84(constB24, bitIndex0)) <=> ((~v84(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex0))),
% 47.77/30.23 inference(rewrite,[status(thm)],[])).
% 47.77/30.23 tff(4298,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v84(constB23, bitIndex0)) | v94(constB24) | v84(constB24, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex0)))),
% 47.77/30.23 inference(monotonicity,[status(thm)],[4297])).
% 47.77/30.23 tff(4299,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v84(constB23, bitIndex0)) | v94(constB24) | v84(constB24, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex0))),
% 47.77/30.23 inference(transitivity,[status(thm)],[4298, 4296])).
% 47.77/30.23 tff(4300,plain,
% 47.77/30.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v84(constB23, bitIndex0)) | v94(constB24) | v84(constB24, bitIndex0))),
% 47.77/30.23 inference(quant_inst,[status(thm)],[])).
% 47.77/30.23 tff(4301,plain,
% 47.77/30.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex0)),
% 47.77/30.23 inference(modus_ponens,[status(thm)],[4300, 4299])).
% 47.77/30.23 tff(4302,plain,
% 47.77/30.23 ((~v84(constB23, bitIndex0)) | v94(constB24) | v84(constB24, bitIndex0)),
% 47.77/30.23 inference(unit_resolution,[status(thm)],[4301, 1439, 4111])).
% 47.77/30.23 tff(4303,plain,
% 47.77/30.23 (~v84(constB23, bitIndex0)),
% 47.77/30.23 inference(unit_resolution,[status(thm)],[4302, 4295, 4294])).
% 47.77/30.23 tff(4304,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0))),
% 47.77/30.23 inference(rewrite,[status(thm)],[])).
% 47.77/30.23 tff(4305,plain,
% 47.77/30.23 (((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0)) <=> ((~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0))),
% 47.77/30.23 inference(rewrite,[status(thm)],[])).
% 47.77/30.23 tff(4306,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0)))),
% 47.77/30.23 inference(monotonicity,[status(thm)],[4305])).
% 47.77/30.23 tff(4307,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0))),
% 47.77/30.23 inference(transitivity,[status(thm)],[4306, 4304])).
% 47.77/30.23 tff(4308,plain,
% 47.77/30.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0))),
% 47.77/30.23 inference(quant_inst,[status(thm)],[])).
% 47.77/30.23 tff(4309,plain,
% 47.77/30.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0)),
% 47.77/30.23 inference(modus_ponens,[status(thm)],[4308, 4307])).
% 47.77/30.23 tff(4310,plain,
% 47.77/30.23 ((~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0)),
% 47.77/30.23 inference(unit_resolution,[status(thm)],[4309, 1439, 3978])).
% 47.77/30.23 tff(4311,plain,
% 47.77/30.23 ((~v84(constB22, bitIndex0)) | v84(constB23, bitIndex0)),
% 47.77/30.23 inference(unit_resolution,[status(thm)],[4310, 3990])).
% 47.77/30.23 tff(4312,plain,
% 47.77/30.23 (~v84(constB22, bitIndex0)),
% 47.77/30.23 inference(unit_resolution,[status(thm)],[4311, 4303])).
% 47.77/30.23 tff(4313,assumption,(~v84(constB24, bitIndex1)), introduced(assumption)).
% 47.77/30.23 tff(4314,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex1))),
% 47.77/30.23 inference(rewrite,[status(thm)],[])).
% 47.77/30.23 tff(4315,plain,
% 47.77/30.23 (((~nextState(constB23, constB24)) | (~v84(constB23, bitIndex1)) | v94(constB24) | v84(constB24, bitIndex1)) <=> ((~v84(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex1))),
% 47.77/30.23 inference(rewrite,[status(thm)],[])).
% 47.77/30.23 tff(4316,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v84(constB23, bitIndex1)) | v94(constB24) | v84(constB24, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex1)))),
% 47.77/30.23 inference(monotonicity,[status(thm)],[4315])).
% 47.77/30.23 tff(4317,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v84(constB23, bitIndex1)) | v94(constB24) | v84(constB24, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex1))),
% 47.77/30.23 inference(transitivity,[status(thm)],[4316, 4314])).
% 47.77/30.23 tff(4318,plain,
% 47.77/30.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v84(constB23, bitIndex1)) | v94(constB24) | v84(constB24, bitIndex1))),
% 47.77/30.23 inference(quant_inst,[status(thm)],[])).
% 47.77/30.23 tff(4319,plain,
% 47.77/30.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex1)),
% 47.77/30.23 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 47.77/30.23 tff(4320,plain,
% 47.77/30.23 ((~v84(constB23, bitIndex1)) | v94(constB24) | v84(constB24, bitIndex1)),
% 47.77/30.23 inference(unit_resolution,[status(thm)],[4319, 905, 4111])).
% 47.77/30.23 tff(4321,plain,
% 47.77/30.23 (~v84(constB23, bitIndex1)),
% 47.77/30.23 inference(unit_resolution,[status(thm)],[4320, 4295, 4313])).
% 47.77/30.23 tff(4322,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex1))),
% 47.77/30.23 inference(rewrite,[status(thm)],[])).
% 47.77/30.23 tff(4323,plain,
% 47.77/30.23 (((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex1)) | v94(constB23) | v84(constB23, bitIndex1)) <=> ((~v84(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex1))),
% 47.77/30.23 inference(rewrite,[status(thm)],[])).
% 47.77/30.23 tff(4324,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex1)) | v94(constB23) | v84(constB23, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex1)))),
% 47.77/30.23 inference(monotonicity,[status(thm)],[4323])).
% 47.77/30.23 tff(4325,plain,
% 47.77/30.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex1)) | v94(constB23) | v84(constB23, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex1))),
% 47.77/30.24 inference(transitivity,[status(thm)],[4324, 4322])).
% 47.77/30.24 tff(4326,plain,
% 47.77/30.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex1)) | v94(constB23) | v84(constB23, bitIndex1))),
% 47.77/30.24 inference(quant_inst,[status(thm)],[])).
% 47.77/30.24 tff(4327,plain,
% 47.77/30.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex1)),
% 47.77/30.24 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 47.77/30.24 tff(4328,plain,
% 47.77/30.24 ((~v84(constB22, bitIndex1)) | v94(constB23) | v84(constB23, bitIndex1)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4327, 905, 3978])).
% 47.77/30.24 tff(4329,plain,
% 47.77/30.24 ((~v84(constB22, bitIndex1)) | v84(constB23, bitIndex1)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4328, 3990])).
% 47.77/30.24 tff(4330,plain,
% 47.77/30.24 (~v84(constB22, bitIndex1)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4329, 4321])).
% 47.77/30.24 tff(4331,assumption,(~v84(constB24, bitIndex2)), introduced(assumption)).
% 47.77/30.24 tff(4332,plain,
% 47.77/30.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex2))),
% 47.77/30.24 inference(rewrite,[status(thm)],[])).
% 47.77/30.24 tff(4333,plain,
% 47.77/30.24 (((~nextState(constB23, constB24)) | (~v84(constB23, bitIndex2)) | v94(constB24) | v84(constB24, bitIndex2)) <=> ((~v84(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex2))),
% 47.77/30.24 inference(rewrite,[status(thm)],[])).
% 47.77/30.24 tff(4334,plain,
% 47.77/30.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v84(constB23, bitIndex2)) | v94(constB24) | v84(constB24, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex2)))),
% 47.77/30.24 inference(monotonicity,[status(thm)],[4333])).
% 47.77/30.24 tff(4335,plain,
% 47.77/30.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v84(constB23, bitIndex2)) | v94(constB24) | v84(constB24, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex2))),
% 47.77/30.24 inference(transitivity,[status(thm)],[4334, 4332])).
% 47.77/30.24 tff(4336,plain,
% 47.77/30.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v84(constB23, bitIndex2)) | v94(constB24) | v84(constB24, bitIndex2))),
% 47.77/30.24 inference(quant_inst,[status(thm)],[])).
% 47.77/30.24 tff(4337,plain,
% 47.77/30.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v94(constB24) | v84(constB24, bitIndex2)),
% 47.77/30.24 inference(modus_ponens,[status(thm)],[4336, 4335])).
% 47.77/30.24 tff(4338,plain,
% 47.77/30.24 ((~v84(constB23, bitIndex2)) | v94(constB24) | v84(constB24, bitIndex2)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4337, 576, 4111])).
% 47.77/30.24 tff(4339,plain,
% 47.77/30.24 (~v84(constB23, bitIndex2)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4338, 4295, 4331])).
% 47.77/30.24 tff(4340,plain,
% 47.77/30.24 (~v84(constB22, bitIndex2)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[3998, 4339])).
% 47.77/30.24 tff(4341,assumption,(~v84(constB22, bitIndex2)), introduced(assumption)).
% 47.77/30.24 tff(4342,assumption,(~v84(constB22, bitIndex1)), introduced(assumption)).
% 47.77/30.24 tff(4343,plain,
% 47.77/30.24 (~v109(constB21)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[3944, 320, 3907])).
% 47.77/30.24 tff(4344,plain,
% 47.77/30.24 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v113(constB21))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v113(constB21))),
% 47.77/30.24 inference(rewrite,[status(thm)],[])).
% 47.77/30.24 tff(4345,plain,
% 47.77/30.24 ((v84(constB21, bitIndex0) | v113(constB21) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2)) <=> (v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v113(constB21))),
% 47.77/30.24 inference(rewrite,[status(thm)],[])).
% 47.77/30.24 tff(4346,plain,
% 47.77/30.24 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB21, bitIndex0) | v113(constB21) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v113(constB21)))),
% 47.77/30.24 inference(monotonicity,[status(thm)],[4345])).
% 47.77/30.24 tff(4347,plain,
% 47.77/30.24 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB21, bitIndex0) | v113(constB21) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v113(constB21))),
% 47.77/30.24 inference(transitivity,[status(thm)],[4346, 4344])).
% 47.77/30.24 tff(4348,plain,
% 47.77/30.24 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB21, bitIndex0) | v113(constB21) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2))),
% 47.77/30.24 inference(quant_inst,[status(thm)],[])).
% 47.77/30.24 tff(4349,plain,
% 47.77/30.24 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v113(constB21)),
% 47.77/30.24 inference(modus_ponens,[status(thm)],[4348, 4347])).
% 47.77/30.24 tff(4350,plain,
% 47.77/30.24 (v84(constB21, bitIndex0) | v84(constB21, bitIndex2) | v113(constB21)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4349, 205, 2930])).
% 47.77/30.24 tff(4351,plain,
% 47.77/30.24 (v113(constB21)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4350, 3918, 3908])).
% 47.77/30.24 tff(4352,plain,
% 47.77/30.24 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB21)) | v112(constB21))),
% 47.77/30.24 inference(rewrite,[status(thm)],[])).
% 47.77/30.24 tff(4353,plain,
% 47.77/30.24 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB21)) | v112(constB21))),
% 47.77/30.24 inference(quant_inst,[status(thm)],[])).
% 47.77/30.24 tff(4354,plain,
% 47.77/30.24 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB21)) | v112(constB21)),
% 47.77/30.24 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 47.77/30.24 tff(4355,plain,
% 47.77/30.24 (v112(constB21)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4354, 267, 4351])).
% 47.77/30.24 tff(4356,plain,
% 47.77/30.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB21) | (~v112(constB21)))),
% 47.77/30.24 inference(rewrite,[status(thm)],[])).
% 47.77/30.24 tff(4357,plain,
% 47.77/30.24 (((~v112(constB21)) | v111(constB21)) <=> (v111(constB21) | (~v112(constB21)))),
% 47.77/30.24 inference(rewrite,[status(thm)],[])).
% 47.77/30.24 tff(4358,plain,
% 47.77/30.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB21)) | v111(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB21) | (~v112(constB21))))),
% 47.77/30.24 inference(monotonicity,[status(thm)],[4357])).
% 47.77/30.24 tff(4359,plain,
% 47.77/30.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB21)) | v111(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB21) | (~v112(constB21)))),
% 47.77/30.24 inference(transitivity,[status(thm)],[4358, 4356])).
% 47.77/30.24 tff(4360,plain,
% 47.77/30.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB21)) | v111(constB21))),
% 47.77/30.24 inference(quant_inst,[status(thm)],[])).
% 47.77/30.24 tff(4361,plain,
% 47.77/30.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB21) | (~v112(constB21))),
% 47.77/30.24 inference(modus_ponens,[status(thm)],[4360, 4359])).
% 47.77/30.24 tff(4362,plain,
% 47.77/30.24 (v111(constB21)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4361, 278, 4355])).
% 47.77/30.24 tff(4363,plain,
% 47.77/30.24 (v110(constB21)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[3930, 292, 4362])).
% 47.77/30.24 tff(4364,plain,
% 47.77/30.24 ($false),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[3937, 306, 4363, 4343])).
% 47.77/30.24 tff(4365,plain,(v94(constB22) | v84(constB21, bitIndex2) | v84(constB21, bitIndex1) | v84(constB22, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 47.77/30.24 tff(4366,plain,
% 47.77/30.24 (v94(constB22)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4365, 3908, 2930, 3910])).
% 47.77/30.24 tff(4367,plain,
% 47.77/30.24 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22)))),
% 47.77/30.24 inference(rewrite,[status(thm)],[])).
% 47.77/30.24 tff(4368,plain,
% 47.77/30.24 ((v84(constB22, bitIndex0) | (~v94(constB22)) | (~v123(constB22, bitIndex0))) <=> (v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22)))),
% 47.77/30.24 inference(rewrite,[status(thm)],[])).
% 47.77/30.24 tff(4369,plain,
% 47.77/30.24 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v94(constB22)) | (~v123(constB22, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22))))),
% 47.77/30.24 inference(monotonicity,[status(thm)],[4368])).
% 47.77/30.24 tff(4370,plain,
% 47.77/30.24 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v94(constB22)) | (~v123(constB22, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22)))),
% 47.77/30.24 inference(transitivity,[status(thm)],[4369, 4367])).
% 47.77/30.24 tff(4371,plain,
% 47.77/30.24 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v94(constB22)) | (~v123(constB22, bitIndex0)))),
% 47.77/30.24 inference(quant_inst,[status(thm)],[])).
% 47.77/30.24 tff(4372,plain,
% 47.77/30.24 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22))),
% 47.77/30.24 inference(modus_ponens,[status(thm)],[4371, 4370])).
% 47.77/30.24 tff(4373,plain,
% 47.77/30.24 ((~v123(constB22, bitIndex0)) | (~v94(constB22))),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4372, 1421, 3910])).
% 47.77/30.24 tff(4374,plain,
% 47.77/30.24 (~v123(constB22, bitIndex0)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4373, 4366])).
% 47.77/30.24 tff(4375,plain,
% 47.77/30.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0))),
% 47.77/30.24 inference(rewrite,[status(thm)],[])).
% 47.77/30.24 tff(4376,plain,
% 47.77/30.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0))),
% 47.77/30.24 inference(quant_inst,[status(thm)],[])).
% 47.77/30.24 tff(4377,plain,
% 47.77/30.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0)),
% 47.77/30.24 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 47.77/30.24 tff(4378,plain,
% 47.77/30.24 ((~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4377, 1406, 3845])).
% 47.77/30.24 tff(4379,plain,
% 47.77/30.24 (~v121(constB21, bitIndex0)),
% 47.77/30.24 inference(unit_resolution,[status(thm)],[4378, 4374])).
% 47.77/30.24 tff(4380,plain,
% 47.77/30.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB21) | (~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB21) | (~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4381,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB21) | (~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0))),
% 47.77/30.25 inference(quant_inst,[status(thm)],[])).
% 47.77/30.25 tff(4382,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB21) | (~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0)),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4381, 4380])).
% 47.77/30.25 tff(4383,plain,
% 47.77/30.25 ((~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4382, 1391, 3837])).
% 47.77/30.25 tff(4384,plain,
% 47.77/30.25 (~v124(constB21, bitIndex0)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4383, 4379])).
% 47.77/30.25 tff(4385,plain,
% 47.77/30.25 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v84(VarCurr, bitIndex2)) <=> ((~v118(VarCurr)) | v84(VarCurr, bitIndex2)))),
% 47.77/30.25 inference(bind,[status(th)],[])).
% 47.77/30.25 tff(4386,plain,
% 47.77/30.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))),
% 47.77/30.25 inference(quant_intro,[status(thm)],[4385])).
% 47.77/30.25 tff(4387,plain,
% 47.77/30.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4388,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 47.77/30.25 tff(4389,plain,
% 47.77/30.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4388, 4387])).
% 47.77/30.25 tff(4390,plain,(
% 47.77/30.25 ![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))),
% 47.77/30.25 inference(skolemize,[status(sab)],[4389])).
% 47.77/30.25 tff(4391,plain,
% 47.77/30.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4390, 4386])).
% 47.77/30.25 tff(4392,plain,
% 47.77/30.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))) | ((~v118(constB21)) | v84(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))) | (~v118(constB21)) | v84(constB21, bitIndex2))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4393,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))) | ((~v118(constB21)) | v84(constB21, bitIndex2))),
% 47.77/30.25 inference(quant_inst,[status(thm)],[])).
% 47.77/30.25 tff(4394,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))) | (~v118(constB21)) | v84(constB21, bitIndex2)),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4393, 4392])).
% 47.77/30.25 tff(4395,plain,
% 47.77/30.25 (~v118(constB21)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4394, 4391, 3908])).
% 47.77/30.25 tff(4396,plain,
% 47.77/30.25 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))) | ((~v172(constB21)) | v84(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))) | (~v172(constB21)) | v84(constB21, bitIndex2))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4397,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))) | ((~v172(constB21)) | v84(constB21, bitIndex2))),
% 47.77/30.25 inference(quant_inst,[status(thm)],[])).
% 47.77/30.25 tff(4398,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))) | (~v172(constB21)) | v84(constB21, bitIndex2)),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 47.77/30.25 tff(4399,plain,
% 47.77/30.25 (~v172(constB21)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4398, 3662, 3908])).
% 47.77/30.25 tff(4400,plain,
% 47.77/30.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~v123(constB22, bitIndex1)) | (~v94(constB22)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~v123(constB22, bitIndex1)) | (~v94(constB22)))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4401,plain,
% 47.77/30.25 ((v84(constB22, bitIndex1) | (~v94(constB22)) | (~v123(constB22, bitIndex1))) <=> (v84(constB22, bitIndex1) | (~v123(constB22, bitIndex1)) | (~v94(constB22)))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4402,plain,
% 47.77/30.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~v94(constB22)) | (~v123(constB22, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~v123(constB22, bitIndex1)) | (~v94(constB22))))),
% 47.77/30.25 inference(monotonicity,[status(thm)],[4401])).
% 47.77/30.25 tff(4403,plain,
% 47.77/30.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~v94(constB22)) | (~v123(constB22, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~v123(constB22, bitIndex1)) | (~v94(constB22)))),
% 47.77/30.25 inference(transitivity,[status(thm)],[4402, 4400])).
% 47.77/30.25 tff(4404,plain,
% 47.77/30.25 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~v94(constB22)) | (~v123(constB22, bitIndex1)))),
% 47.77/30.25 inference(quant_inst,[status(thm)],[])).
% 47.77/30.25 tff(4405,plain,
% 47.77/30.25 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~v123(constB22, bitIndex1)) | (~v94(constB22))),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4404, 4403])).
% 47.77/30.25 tff(4406,plain,
% 47.77/30.25 ((~v123(constB22, bitIndex1)) | (~v94(constB22))),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4405, 887, 4342])).
% 47.77/30.25 tff(4407,plain,
% 47.77/30.25 (~v123(constB22, bitIndex1)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4406, 4366])).
% 47.77/30.25 tff(4408,plain,
% 47.77/30.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex1)) | v123(constB22, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex1)) | v123(constB22, bitIndex1))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4409,plain,
% 47.77/30.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex1)) | v123(constB22, bitIndex1))),
% 47.77/30.25 inference(quant_inst,[status(thm)],[])).
% 47.77/30.25 tff(4410,plain,
% 47.77/30.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex1)) | v123(constB22, bitIndex1)),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 47.77/30.25 tff(4411,plain,
% 47.77/30.25 ((~v121(constB21, bitIndex1)) | v123(constB22, bitIndex1)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4410, 872, 3845])).
% 47.77/30.25 tff(4412,plain,
% 47.77/30.25 (~v121(constB21, bitIndex1)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4411, 4407])).
% 47.77/30.25 tff(4413,plain,
% 47.77/30.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB21) | (~v124(constB21, bitIndex1)) | v121(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB21) | (~v124(constB21, bitIndex1)) | v121(constB21, bitIndex1))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4414,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB21) | (~v124(constB21, bitIndex1)) | v121(constB21, bitIndex1))),
% 47.77/30.25 inference(quant_inst,[status(thm)],[])).
% 47.77/30.25 tff(4415,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB21) | (~v124(constB21, bitIndex1)) | v121(constB21, bitIndex1)),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4414, 4413])).
% 47.77/30.25 tff(4416,plain,
% 47.77/30.25 ((~v124(constB21, bitIndex1)) | v121(constB21, bitIndex1)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4415, 857, 3837])).
% 47.77/30.25 tff(4417,plain,
% 47.77/30.25 (~v124(constB21, bitIndex1)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4416, 4412])).
% 47.77/30.25 tff(4418,plain,
% 47.77/30.25 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB21)) | v124(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB21)) | v124(constB21, bitIndex1))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4419,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB21)) | v124(constB21, bitIndex1))),
% 47.77/30.25 inference(quant_inst,[status(thm)],[])).
% 47.77/30.25 tff(4420,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB21)) | v124(constB21, bitIndex1)),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4419, 4418])).
% 47.77/30.25 tff(4421,plain,
% 47.77/30.25 (~v145(constB21)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4420, 1512, 4417])).
% 47.77/30.25 tff(4422,plain,
% 47.77/30.25 ((~v123(constB22, bitIndex2)) | (~v94(constB22))),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[3970, 405, 4341])).
% 47.77/30.25 tff(4423,plain,
% 47.77/30.25 (~v123(constB22, bitIndex2)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4422, 4366])).
% 47.77/30.25 tff(4424,plain,
% 47.77/30.25 (~v121(constB21, bitIndex2)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[3849, 4423])).
% 47.77/30.25 tff(4425,plain,
% 47.77/30.25 (~v124(constB21, bitIndex2)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[3841, 4424])).
% 47.77/30.25 tff(4426,plain,
% 47.77/30.25 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB21)) | v124(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB21)) | v124(constB21, bitIndex2))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4427,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB21)) | v124(constB21, bitIndex2))),
% 47.77/30.25 inference(quant_inst,[status(thm)],[])).
% 47.77/30.25 tff(4428,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB21)) | v124(constB21, bitIndex2)),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4427, 4426])).
% 47.77/30.25 tff(4429,plain,
% 47.77/30.25 (~v113(constB21)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4428, 360, 4425])).
% 47.77/30.25 tff(4430,plain,
% 47.77/30.25 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ((~v115(VarCurr)) | v84(VarCurr, bitIndex1)))),
% 47.77/30.25 inference(bind,[status(th)],[])).
% 47.77/30.25 tff(4431,plain,
% 47.77/30.25 (![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))),
% 47.77/30.25 inference(quant_intro,[status(thm)],[4430])).
% 47.77/30.25 tff(4432,plain,
% 47.77/30.25 (![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4433,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 47.77/30.25 tff(4434,plain,
% 47.77/30.25 (![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4433, 4432])).
% 47.77/30.25 tff(4435,plain,(
% 47.77/30.25 ![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))),
% 47.77/30.25 inference(skolemize,[status(sab)],[4434])).
% 47.77/30.25 tff(4436,plain,
% 47.77/30.25 (![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4435, 4431])).
% 47.77/30.25 tff(4437,plain,
% 47.77/30.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))) | ((~v115(constB21)) | v84(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))) | (~v115(constB21)) | v84(constB21, bitIndex1))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4438,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))) | ((~v115(constB21)) | v84(constB21, bitIndex1))),
% 47.77/30.25 inference(quant_inst,[status(thm)],[])).
% 47.77/30.25 tff(4439,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))) | (~v115(constB21)) | v84(constB21, bitIndex1)),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4438, 4437])).
% 47.77/30.25 tff(4440,plain,
% 47.77/30.25 (~v115(constB21)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4439, 4436, 2930])).
% 47.77/30.25 tff(4441,plain,
% 47.77/30.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))) | ((~v116(constB21)) | v84(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))) | (~v116(constB21)) | v84(constB21, bitIndex1))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4442,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))) | ((~v116(constB21)) | v84(constB21, bitIndex1))),
% 47.77/30.25 inference(quant_inst,[status(thm)],[])).
% 47.77/30.25 tff(4443,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))) | (~v116(constB21)) | v84(constB21, bitIndex1)),
% 47.77/30.25 inference(modus_ponens,[status(thm)],[4442, 4441])).
% 47.77/30.25 tff(4444,plain,
% 47.77/30.25 (~v116(constB21)),
% 47.77/30.25 inference(unit_resolution,[status(thm)],[4443, 3735, 2930])).
% 47.77/30.25 tff(4445,plain,
% 47.77/30.25 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB21) | v118(constB21) | v116(constB21) | v113(constB21) | v115(constB21) | v172(constB21) | v124(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB21) | v118(constB21) | v116(constB21) | v113(constB21) | v115(constB21) | v172(constB21) | v124(constB21, bitIndex0))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4446,plain,
% 47.77/30.25 ((v113(constB21) | v145(constB21) | v115(constB21) | v116(constB21) | v172(constB21) | v118(constB21) | v124(constB21, bitIndex0)) <=> (v145(constB21) | v118(constB21) | v116(constB21) | v113(constB21) | v115(constB21) | v172(constB21) | v124(constB21, bitIndex0))),
% 47.77/30.25 inference(rewrite,[status(thm)],[])).
% 47.77/30.25 tff(4447,plain,
% 47.77/30.25 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB21) | v145(constB21) | v115(constB21) | v116(constB21) | v172(constB21) | v118(constB21) | v124(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB21) | v118(constB21) | v116(constB21) | v113(constB21) | v115(constB21) | v172(constB21) | v124(constB21, bitIndex0)))),
% 47.77/30.25 inference(monotonicity,[status(thm)],[4446])).
% 47.77/30.25 tff(4448,plain,
% 47.77/30.25 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB21) | v145(constB21) | v115(constB21) | v116(constB21) | v172(constB21) | v118(constB21) | v124(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB21) | v118(constB21) | v116(constB21) | v113(constB21) | v115(constB21) | v172(constB21) | v124(constB21, bitIndex0))),
% 47.77/30.25 inference(transitivity,[status(thm)],[4447, 4445])).
% 47.77/30.25 tff(4449,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB21) | v145(constB21) | v115(constB21) | v116(constB21) | v172(constB21) | v118(constB21) | v124(constB21, bitIndex0))),
% 47.77/30.25 inference(quant_inst,[status(thm)],[])).
% 47.77/30.25 tff(4450,plain,
% 47.77/30.25 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB21) | v118(constB21) | v116(constB21) | v113(constB21) | v115(constB21) | v172(constB21) | v124(constB21, bitIndex0)),
% 47.77/30.26 inference(modus_ponens,[status(thm)],[4449, 4448])).
% 47.77/30.26 tff(4451,plain,
% 47.77/30.26 (v145(constB21) | v118(constB21) | v113(constB21) | v172(constB21) | v124(constB21, bitIndex0)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4450, 1374, 4444, 4440])).
% 47.77/30.26 tff(4452,plain,
% 47.77/30.26 ($false),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4451, 4429, 4421, 4399, 4395, 4384])).
% 47.77/30.26 tff(4453,plain,(v84(constB21, bitIndex2) | v84(constB22, bitIndex0) | v84(constB22, bitIndex2) | v84(constB22, bitIndex1) | v84(constB21, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 47.77/30.26 tff(4454,plain,
% 47.77/30.26 (v84(constB21, bitIndex2)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4453, 2930, 4341, 4342, 3910])).
% 47.77/30.26 tff(4455,plain,
% 47.77/30.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex2))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4456,plain,
% 47.77/30.26 (((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex2)) | v94(constB22) | v84(constB22, bitIndex2)) <=> ((~v84(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex2))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4457,plain,
% 47.77/30.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex2)) | v94(constB22) | v84(constB22, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex2)))),
% 47.77/30.26 inference(monotonicity,[status(thm)],[4456])).
% 47.77/30.26 tff(4458,plain,
% 47.77/30.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex2)) | v94(constB22) | v84(constB22, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex2))),
% 47.77/30.26 inference(transitivity,[status(thm)],[4457, 4455])).
% 47.77/30.26 tff(4459,plain,
% 47.77/30.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex2)) | v94(constB22) | v84(constB22, bitIndex2))),
% 47.77/30.26 inference(quant_inst,[status(thm)],[])).
% 47.77/30.26 tff(4460,plain,
% 47.77/30.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex2)),
% 47.77/30.26 inference(modus_ponens,[status(thm)],[4459, 4458])).
% 47.77/30.26 tff(4461,plain,
% 47.77/30.26 ((~v84(constB21, bitIndex2)) | v94(constB22) | v84(constB22, bitIndex2)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4460, 576, 3845])).
% 47.77/30.26 tff(4462,plain,
% 47.77/30.26 (v94(constB22)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4461, 4454, 4341])).
% 47.77/30.26 tff(4463,plain,
% 47.77/30.26 (~v123(constB22, bitIndex0)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4373, 4462])).
% 47.77/30.26 tff(4464,plain,
% 47.77/30.26 (~v121(constB21, bitIndex0)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4378, 4463])).
% 47.77/30.26 tff(4465,plain,
% 47.77/30.26 (~v124(constB21, bitIndex0)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4383, 4464])).
% 47.77/30.26 tff(4466,plain,
% 47.77/30.26 (~v123(constB22, bitIndex1)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4406, 4462])).
% 47.77/30.26 tff(4467,plain,
% 47.77/30.26 (~v121(constB21, bitIndex1)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4411, 4466])).
% 47.77/30.26 tff(4468,plain,
% 47.77/30.26 (~v124(constB21, bitIndex1)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4416, 4467])).
% 47.77/30.26 tff(4469,plain,
% 47.77/30.26 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB21)) | v124(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB21)) | v124(constB21, bitIndex1))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4470,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB21)) | v124(constB21, bitIndex1))),
% 47.77/30.26 inference(quant_inst,[status(thm)],[])).
% 47.77/30.26 tff(4471,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB21)) | v124(constB21, bitIndex1)),
% 47.77/30.26 inference(modus_ponens,[status(thm)],[4470, 4469])).
% 47.77/30.26 tff(4472,plain,
% 47.77/30.26 (~v118(constB21)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4471, 3117, 4468])).
% 47.77/30.26 tff(4473,plain,
% 47.77/30.26 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB21)) | v124(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB21)) | v124(constB21, bitIndex1))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4474,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB21)) | v124(constB21, bitIndex1))),
% 47.77/30.26 inference(quant_inst,[status(thm)],[])).
% 47.77/30.26 tff(4475,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB21)) | v124(constB21, bitIndex1)),
% 47.77/30.26 inference(modus_ponens,[status(thm)],[4474, 4473])).
% 47.77/30.26 tff(4476,plain,
% 47.77/30.26 (~v172(constB21)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4475, 843, 4468])).
% 47.77/30.26 tff(4477,plain,
% 47.77/30.26 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 47.77/30.26 inference(bind,[status(th)],[])).
% 47.77/30.26 tff(4478,plain,
% 47.77/30.26 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.77/30.26 inference(quant_intro,[status(thm)],[4477])).
% 47.77/30.26 tff(4479,plain,
% 47.77/30.26 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4480,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 47.77/30.26 tff(4481,plain,
% 47.77/30.26 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.77/30.26 inference(modus_ponens,[status(thm)],[4480, 4479])).
% 47.77/30.26 tff(4482,plain,(
% 47.77/30.26 ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.77/30.26 inference(skolemize,[status(sab)],[4481])).
% 47.77/30.26 tff(4483,plain,
% 47.77/30.26 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 47.77/30.26 inference(modus_ponens,[status(thm)],[4482, 4478])).
% 47.77/30.26 tff(4484,plain,
% 47.77/30.26 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB21)) | (~v84(constB21, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB21)) | (~v84(constB21, bitIndex2)))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4485,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB21)) | (~v84(constB21, bitIndex2)))),
% 47.77/30.26 inference(quant_inst,[status(thm)],[])).
% 47.77/30.26 tff(4486,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB21)) | (~v84(constB21, bitIndex2))),
% 47.77/30.26 inference(modus_ponens,[status(thm)],[4485, 4484])).
% 47.77/30.26 tff(4487,plain,
% 47.77/30.26 (~v145(constB21)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4486, 4483, 4454])).
% 47.77/30.26 tff(4488,plain,
% 47.77/30.26 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB21)) | (~v84(constB21, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB21)) | (~v84(constB21, bitIndex2)))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4489,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB21)) | (~v84(constB21, bitIndex2)))),
% 47.77/30.26 inference(quant_inst,[status(thm)],[])).
% 47.77/30.26 tff(4490,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB21)) | (~v84(constB21, bitIndex2))),
% 47.77/30.26 inference(modus_ponens,[status(thm)],[4489, 4488])).
% 47.77/30.26 tff(4491,plain,
% 47.77/30.26 (~v113(constB21)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4490, 4280, 4454])).
% 47.77/30.26 tff(4492,plain,
% 47.77/30.26 ($false),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4451, 4491, 4487, 4476, 4472, 4465])).
% 47.77/30.26 tff(4493,plain,(v84(constB21, bitIndex1) | v84(constB22, bitIndex0) | v84(constB22, bitIndex1) | v84(constB22, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 47.77/30.26 tff(4494,plain,
% 47.77/30.26 (v84(constB21, bitIndex1)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4493, 3910, 4342, 4341])).
% 47.77/30.26 tff(4495,plain,
% 47.77/30.26 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB21)) | (~v84(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB21)) | (~v84(constB21, bitIndex1)))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4496,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB21)) | (~v84(constB21, bitIndex1)))),
% 47.77/30.26 inference(quant_inst,[status(thm)],[])).
% 47.77/30.26 tff(4497,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB21)) | (~v84(constB21, bitIndex1))),
% 47.77/30.26 inference(modus_ponens,[status(thm)],[4496, 4495])).
% 47.77/30.26 tff(4498,plain,
% 47.77/30.26 (~v113(constB21)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4497, 1058, 4494])).
% 47.77/30.26 tff(4499,plain,
% 47.77/30.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex1))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4500,plain,
% 47.77/30.26 (((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex1)) | v94(constB22) | v84(constB22, bitIndex1)) <=> ((~v84(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex1))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4501,plain,
% 47.77/30.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex1)) | v94(constB22) | v84(constB22, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex1)))),
% 47.77/30.26 inference(monotonicity,[status(thm)],[4500])).
% 47.77/30.26 tff(4502,plain,
% 47.77/30.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex1)) | v94(constB22) | v84(constB22, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex1))),
% 47.77/30.26 inference(transitivity,[status(thm)],[4501, 4499])).
% 47.77/30.26 tff(4503,plain,
% 47.77/30.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex1)) | v94(constB22) | v84(constB22, bitIndex1))),
% 47.77/30.26 inference(quant_inst,[status(thm)],[])).
% 47.77/30.26 tff(4504,plain,
% 47.77/30.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex1)),
% 47.77/30.26 inference(modus_ponens,[status(thm)],[4503, 4502])).
% 47.77/30.26 tff(4505,plain,
% 47.77/30.26 ((~v84(constB21, bitIndex1)) | v94(constB22) | v84(constB22, bitIndex1)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4504, 905, 3845])).
% 47.77/30.26 tff(4506,plain,
% 47.77/30.26 (v94(constB22)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4505, 4494, 4342])).
% 47.77/30.26 tff(4507,plain,
% 47.77/30.26 (~v123(constB22, bitIndex1)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4406, 4506])).
% 47.77/30.26 tff(4508,plain,
% 47.77/30.26 (~v121(constB21, bitIndex1)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4411, 4507])).
% 47.77/30.26 tff(4509,plain,
% 47.77/30.26 (~v124(constB21, bitIndex1)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4416, 4508])).
% 47.77/30.26 tff(4510,plain,
% 47.77/30.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB21)) | v124(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB21)) | v124(constB21, bitIndex1))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4511,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB21)) | v124(constB21, bitIndex1))),
% 47.77/30.26 inference(quant_inst,[status(thm)],[])).
% 47.77/30.26 tff(4512,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB21)) | v124(constB21, bitIndex1)),
% 47.77/30.26 inference(modus_ponens,[status(thm)],[4511, 4510])).
% 47.77/30.26 tff(4513,plain,
% 47.77/30.26 (~v115(constB21)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4512, 1746, 4509])).
% 47.77/30.26 tff(4514,plain,
% 47.77/30.26 (~v123(constB22, bitIndex2)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4422, 4506])).
% 47.77/30.26 tff(4515,plain,
% 47.77/30.26 (~v121(constB21, bitIndex2)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[3849, 4514])).
% 47.77/30.26 tff(4516,plain,
% 47.77/30.26 (~v124(constB21, bitIndex2)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[3841, 4515])).
% 47.77/30.26 tff(4517,plain,
% 47.77/30.26 (~v116(constB21)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[3832, 1923, 4516])).
% 47.77/30.26 tff(4518,plain,
% 47.77/30.26 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB21)) | (~v84(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB21)) | (~v84(constB21, bitIndex1)))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4519,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB21)) | (~v84(constB21, bitIndex1)))),
% 47.77/30.26 inference(quant_inst,[status(thm)],[])).
% 47.77/30.26 tff(4520,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB21)) | (~v84(constB21, bitIndex1))),
% 47.77/30.26 inference(modus_ponens,[status(thm)],[4519, 4518])).
% 47.77/30.26 tff(4521,plain,
% 47.77/30.26 (~v118(constB21)),
% 47.77/30.26 inference(unit_resolution,[status(thm)],[4520, 1069, 4494])).
% 47.77/30.26 tff(4522,plain,
% 47.77/30.26 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB21)) | (~v84(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB21)) | (~v84(constB21, bitIndex1)))),
% 47.77/30.26 inference(rewrite,[status(thm)],[])).
% 47.77/30.26 tff(4523,plain,
% 47.77/30.26 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB21)) | (~v84(constB21, bitIndex1)))),
% 47.77/30.26 inference(quant_inst,[status(thm)],[])).
% 47.77/30.27 tff(4524,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB21)) | (~v84(constB21, bitIndex1))),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4523, 4522])).
% 47.77/30.27 tff(4525,plain,
% 47.77/30.27 (~v172(constB21)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4524, 1080, 4494])).
% 47.77/30.27 tff(4526,plain,
% 47.77/30.27 (~v123(constB22, bitIndex0)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4373, 4506])).
% 47.77/30.27 tff(4527,plain,
% 47.77/30.27 (~v121(constB21, bitIndex0)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4378, 4526])).
% 47.77/30.27 tff(4528,plain,
% 47.77/30.27 (~v124(constB21, bitIndex0)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4383, 4527])).
% 47.77/30.27 tff(4529,plain,
% 47.77/30.27 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB21)) | (~v84(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB21)) | (~v84(constB21, bitIndex1)))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4530,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB21)) | (~v84(constB21, bitIndex1)))),
% 47.77/30.27 inference(quant_inst,[status(thm)],[])).
% 47.77/30.27 tff(4531,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB21)) | (~v84(constB21, bitIndex1))),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4530, 4529])).
% 47.77/30.27 tff(4532,plain,
% 47.77/30.27 (~v145(constB21)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4531, 1091, 4494])).
% 47.77/30.27 tff(4533,plain,
% 47.77/30.27 ($false),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4450, 1374, 4532, 4528, 4525, 4521, 4517, 4513, 4498])).
% 47.77/30.27 tff(4534,plain,(v84(constB22, bitIndex0) | v84(constB22, bitIndex2) | v84(constB22, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 47.77/30.27 tff(4535,plain,
% 47.77/30.27 ($false),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4534, 4340, 4330, 4312])).
% 47.77/30.27 tff(4536,plain,(v94(constB24) | v84(constB24, bitIndex2) | v84(constB24, bitIndex1) | v84(constB24, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 47.77/30.27 tff(4537,plain,
% 47.77/30.27 (v94(constB24)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4536, 4293, 4273, 4242])).
% 47.77/30.27 tff(4538,plain,
% 47.77/30.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~v123(constB24, bitIndex0)) | (~v94(constB24)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~v123(constB24, bitIndex0)) | (~v94(constB24)))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4539,plain,
% 47.77/30.27 ((v84(constB24, bitIndex0) | (~v94(constB24)) | (~v123(constB24, bitIndex0))) <=> (v84(constB24, bitIndex0) | (~v123(constB24, bitIndex0)) | (~v94(constB24)))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4540,plain,
% 47.77/30.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~v94(constB24)) | (~v123(constB24, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~v123(constB24, bitIndex0)) | (~v94(constB24))))),
% 47.77/30.27 inference(monotonicity,[status(thm)],[4539])).
% 47.77/30.27 tff(4541,plain,
% 47.77/30.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~v94(constB24)) | (~v123(constB24, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~v123(constB24, bitIndex0)) | (~v94(constB24)))),
% 47.77/30.27 inference(transitivity,[status(thm)],[4540, 4538])).
% 47.77/30.27 tff(4542,plain,
% 47.77/30.27 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~v94(constB24)) | (~v123(constB24, bitIndex0)))),
% 47.77/30.27 inference(quant_inst,[status(thm)],[])).
% 47.77/30.27 tff(4543,plain,
% 47.77/30.27 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~v123(constB24, bitIndex0)) | (~v94(constB24))),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4542, 4541])).
% 47.77/30.27 tff(4544,plain,
% 47.77/30.27 ((~v123(constB24, bitIndex0)) | (~v94(constB24))),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4543, 1421, 4242])).
% 47.77/30.27 tff(4545,plain,
% 47.77/30.27 (~v123(constB24, bitIndex0)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4544, 4537])).
% 47.77/30.27 tff(4546,plain,
% 47.77/30.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex0)) | v123(constB24, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex0)) | v123(constB24, bitIndex0))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4547,plain,
% 47.77/30.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex0)) | v123(constB24, bitIndex0))),
% 47.77/30.27 inference(quant_inst,[status(thm)],[])).
% 47.77/30.27 tff(4548,plain,
% 47.77/30.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex0)) | v123(constB24, bitIndex0)),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4547, 4546])).
% 47.77/30.27 tff(4549,plain,
% 47.77/30.27 ((~v121(constB23, bitIndex0)) | v123(constB24, bitIndex0)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4548, 1406, 4111])).
% 47.77/30.27 tff(4550,plain,
% 47.77/30.27 (~v121(constB23, bitIndex0)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4549, 4545])).
% 47.77/30.27 tff(4551,plain,
% 47.77/30.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB23) | (~v124(constB23, bitIndex0)) | v121(constB23, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB23) | (~v124(constB23, bitIndex0)) | v121(constB23, bitIndex0))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4552,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB23) | (~v124(constB23, bitIndex0)) | v121(constB23, bitIndex0))),
% 47.77/30.27 inference(quant_inst,[status(thm)],[])).
% 47.77/30.27 tff(4553,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB23) | (~v124(constB23, bitIndex0)) | v121(constB23, bitIndex0)),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 47.77/30.27 tff(4554,plain,
% 47.77/30.27 ((~v124(constB23, bitIndex0)) | v121(constB23, bitIndex0)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4553, 1391, 4093])).
% 47.77/30.27 tff(4555,plain,
% 47.77/30.27 (~v124(constB23, bitIndex0)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4554, 4550])).
% 47.77/30.27 tff(4556,plain,
% 47.77/30.27 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ((~v118(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 47.77/30.27 inference(bind,[status(th)],[])).
% 47.77/30.27 tff(4557,plain,
% 47.77/30.27 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))),
% 47.77/30.27 inference(quant_intro,[status(thm)],[4556])).
% 47.77/30.27 tff(4558,plain,
% 47.77/30.27 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4559,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 47.77/30.27 tff(4560,plain,
% 47.77/30.27 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4559, 4558])).
% 47.77/30.27 tff(4561,plain,(
% 47.77/30.27 ![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))),
% 47.77/30.27 inference(skolemize,[status(sab)],[4560])).
% 47.77/30.27 tff(4562,plain,
% 47.77/30.27 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4561, 4557])).
% 47.77/30.27 tff(4563,plain,
% 47.77/30.27 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB23)) | v124(constB23, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB23)) | v124(constB23, bitIndex0))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4564,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB23)) | v124(constB23, bitIndex0))),
% 47.77/30.27 inference(quant_inst,[status(thm)],[])).
% 47.77/30.27 tff(4565,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB23)) | v124(constB23, bitIndex0)),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4564, 4563])).
% 47.77/30.27 tff(4566,plain,
% 47.77/30.27 (~v118(constB23)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4565, 4562, 4555])).
% 47.77/30.27 tff(4567,plain,
% 47.77/30.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4568,plain,
% 47.77/30.27 ((v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2))) <=> (v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4569,plain,
% 47.77/30.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24))))),
% 47.77/30.27 inference(monotonicity,[status(thm)],[4568])).
% 47.77/30.27 tff(4570,plain,
% 47.77/30.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))),
% 47.77/30.27 inference(transitivity,[status(thm)],[4569, 4567])).
% 47.77/30.27 tff(4571,plain,
% 47.77/30.27 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2)))),
% 47.77/30.27 inference(quant_inst,[status(thm)],[])).
% 47.77/30.27 tff(4572,plain,
% 47.77/30.27 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24))),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4571, 4570])).
% 47.77/30.27 tff(4573,plain,
% 47.77/30.27 ((~v123(constB24, bitIndex2)) | (~v94(constB24))),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4572, 405, 4293])).
% 47.77/30.27 tff(4574,plain,
% 47.77/30.27 (~v123(constB24, bitIndex2)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4573, 4537])).
% 47.77/30.27 tff(4575,plain,
% 47.77/30.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4576,plain,
% 47.77/30.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2))),
% 47.77/30.27 inference(quant_inst,[status(thm)],[])).
% 47.77/30.27 tff(4577,plain,
% 47.77/30.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2)),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 47.77/30.27 tff(4578,plain,
% 47.77/30.27 ((~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4577, 389, 4111])).
% 47.77/30.27 tff(4579,plain,
% 47.77/30.27 (~v121(constB23, bitIndex2)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4578, 4574])).
% 47.77/30.27 tff(4580,plain,
% 47.77/30.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4581,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2))),
% 47.77/30.27 inference(quant_inst,[status(thm)],[])).
% 47.77/30.27 tff(4582,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2)),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4581, 4580])).
% 47.77/30.27 tff(4583,plain,
% 47.77/30.27 ((~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4582, 374, 4093])).
% 47.77/30.27 tff(4584,plain,
% 47.77/30.27 (~v124(constB23, bitIndex2)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4583, 4579])).
% 47.77/30.27 tff(4585,plain,
% 47.77/30.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB23)) | v124(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB23)) | v124(constB23, bitIndex2))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4586,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB23)) | v124(constB23, bitIndex2))),
% 47.77/30.27 inference(quant_inst,[status(thm)],[])).
% 47.77/30.27 tff(4587,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB23)) | v124(constB23, bitIndex2)),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4586, 4585])).
% 47.77/30.27 tff(4588,plain,
% 47.77/30.27 (~v116(constB23)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4587, 1923, 4584])).
% 47.77/30.27 tff(4589,plain,
% 47.77/30.27 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB23)) | v124(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB23)) | v124(constB23, bitIndex2))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4590,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB23)) | v124(constB23, bitIndex2))),
% 47.77/30.27 inference(quant_inst,[status(thm)],[])).
% 47.77/30.27 tff(4591,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB23)) | v124(constB23, bitIndex2)),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4590, 4589])).
% 47.77/30.27 tff(4592,plain,
% 47.77/30.27 (~v113(constB23)),
% 47.77/30.27 inference(unit_resolution,[status(thm)],[4591, 360, 4584])).
% 47.77/30.27 tff(4593,plain,
% 47.77/30.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB23)) | v124(constB23, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB23)) | v124(constB23, bitIndex0))),
% 47.77/30.27 inference(rewrite,[status(thm)],[])).
% 47.77/30.27 tff(4594,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB23)) | v124(constB23, bitIndex0))),
% 47.77/30.27 inference(quant_inst,[status(thm)],[])).
% 47.77/30.27 tff(4595,plain,
% 47.77/30.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB23)) | v124(constB23, bitIndex0)),
% 47.77/30.27 inference(modus_ponens,[status(thm)],[4594, 4593])).
% 47.77/30.27 tff(4596,plain,
% 47.77/30.27 (~v115(constB23)),
% 47.77/30.28 inference(unit_resolution,[status(thm)],[4595, 1784, 4555])).
% 47.77/30.28 tff(4597,plain,
% 47.77/30.28 ((~v123(constB24, bitIndex1)) | (~v94(constB24))),
% 47.77/30.28 inference(unit_resolution,[status(thm)],[4217, 887, 4273])).
% 47.77/30.28 tff(4598,plain,
% 47.77/30.28 (~v123(constB24, bitIndex1)),
% 47.77/30.28 inference(unit_resolution,[status(thm)],[4597, 4537])).
% 47.77/30.28 tff(4599,plain,
% 47.77/30.28 (~v121(constB23, bitIndex1)),
% 47.77/30.28 inference(unit_resolution,[status(thm)],[4210, 4598])).
% 47.77/30.28 tff(4600,plain,
% 47.77/30.28 (~v124(constB23, bitIndex1)),
% 47.77/30.28 inference(unit_resolution,[status(thm)],[4205, 4599])).
% 47.77/30.28 tff(4601,plain,
% 47.77/30.28 (~v172(constB23)),
% 47.77/30.28 inference(unit_resolution,[status(thm)],[4200, 843, 4600])).
% 47.77/30.28 tff(4602,plain,
% 47.77/30.28 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB23)) | v124(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB23)) | v124(constB23, bitIndex1))),
% 47.77/30.28 inference(rewrite,[status(thm)],[])).
% 47.77/30.28 tff(4603,plain,
% 47.77/30.28 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB23)) | v124(constB23, bitIndex1))),
% 47.77/30.28 inference(quant_inst,[status(thm)],[])).
% 47.77/30.28 tff(4604,plain,
% 47.77/30.28 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB23)) | v124(constB23, bitIndex1)),
% 47.77/30.28 inference(modus_ponens,[status(thm)],[4603, 4602])).
% 47.77/30.28 tff(4605,plain,
% 47.77/30.28 (~v145(constB23)),
% 47.77/30.28 inference(unit_resolution,[status(thm)],[4604, 1512, 4600])).
% 47.77/30.28 tff(4606,plain,
% 47.77/30.28 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB23, bitIndex0) | v145(constB23) | v172(constB23) | v115(constB23) | v113(constB23) | v116(constB23) | v118(constB23))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB23, bitIndex0) | v145(constB23) | v172(constB23) | v115(constB23) | v113(constB23) | v116(constB23) | v118(constB23))),
% 47.77/30.28 inference(rewrite,[status(thm)],[])).
% 47.77/30.28 tff(4607,plain,
% 47.77/30.28 ((v113(constB23) | v145(constB23) | v115(constB23) | v116(constB23) | v172(constB23) | v118(constB23) | v124(constB23, bitIndex0)) <=> (v124(constB23, bitIndex0) | v145(constB23) | v172(constB23) | v115(constB23) | v113(constB23) | v116(constB23) | v118(constB23))),
% 47.77/30.28 inference(rewrite,[status(thm)],[])).
% 47.77/30.28 tff(4608,plain,
% 47.77/30.28 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB23) | v145(constB23) | v115(constB23) | v116(constB23) | v172(constB23) | v118(constB23) | v124(constB23, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB23, bitIndex0) | v145(constB23) | v172(constB23) | v115(constB23) | v113(constB23) | v116(constB23) | v118(constB23)))),
% 47.77/30.28 inference(monotonicity,[status(thm)],[4607])).
% 47.77/30.28 tff(4609,plain,
% 47.77/30.28 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB23) | v145(constB23) | v115(constB23) | v116(constB23) | v172(constB23) | v118(constB23) | v124(constB23, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB23, bitIndex0) | v145(constB23) | v172(constB23) | v115(constB23) | v113(constB23) | v116(constB23) | v118(constB23))),
% 47.77/30.28 inference(transitivity,[status(thm)],[4608, 4606])).
% 47.77/30.28 tff(4610,plain,
% 47.77/30.28 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB23) | v145(constB23) | v115(constB23) | v116(constB23) | v172(constB23) | v118(constB23) | v124(constB23, bitIndex0))),
% 47.77/30.28 inference(quant_inst,[status(thm)],[])).
% 47.77/30.28 tff(4611,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB23, bitIndex0) | v145(constB23) | v172(constB23) | v115(constB23) | v113(constB23) | v116(constB23) | v118(constB23)),
% 47.83/30.28 inference(modus_ponens,[status(thm)],[4610, 4609])).
% 47.83/30.28 tff(4612,plain,
% 47.83/30.28 (v145(constB23) | v172(constB23) | v115(constB23) | v113(constB23) | v116(constB23) | v118(constB23)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4611, 1374, 4555])).
% 47.83/30.28 tff(4613,plain,
% 47.83/30.28 ($false),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4612, 4605, 4601, 4596, 4592, 4588, 4566])).
% 47.83/30.28 tff(4614,plain,(v84(constB25, bitIndex0) | v172(constB25) | (~v124(constB25, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 47.83/30.28 tff(4615,plain,
% 47.83/30.28 (~v124(constB25, bitIndex2)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4614, 4232, 4197])).
% 47.83/30.28 tff(4616,assumption,(v26(constB25)), introduced(assumption)).
% 47.83/30.28 tff(4617,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 47.83/30.28 inference(quant_inst,[status(thm)],[])).
% 47.83/30.28 tff(4618,plain,
% 47.83/30.28 ($false),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4617, 55, 4616])).
% 47.83/30.28 tff(4619,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 47.83/30.28 tff(4620,plain,
% 47.83/30.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))),
% 47.83/30.28 inference(rewrite,[status(thm)],[])).
% 47.83/30.28 tff(4621,plain,
% 47.83/30.28 ((v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2))) <=> ((~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))),
% 47.83/30.28 inference(rewrite,[status(thm)],[])).
% 47.83/30.28 tff(4622,plain,
% 47.83/30.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2)))),
% 47.83/30.28 inference(monotonicity,[status(thm)],[4621])).
% 47.83/30.28 tff(4623,plain,
% 47.83/30.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))),
% 47.83/30.28 inference(transitivity,[status(thm)],[4622, 4620])).
% 47.83/30.28 tff(4624,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2)))),
% 47.83/30.28 inference(quant_inst,[status(thm)],[])).
% 47.83/30.28 tff(4625,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2)),
% 47.83/30.28 inference(modus_ponens,[status(thm)],[4624, 4623])).
% 47.83/30.28 tff(4626,plain,
% 47.83/30.28 ((~v121(constB25, bitIndex2)) | v124(constB25, bitIndex2)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4625, 1187, 4619])).
% 47.83/30.28 tff(4627,plain,
% 47.83/30.28 (~v121(constB25, bitIndex2)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4626, 4615])).
% 47.83/30.28 tff(4628,plain,
% 47.83/30.28 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 47.83/30.28 inference(rewrite,[status(thm)],[])).
% 47.83/30.28 tff(4629,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 47.83/30.28 tff(4630,plain,
% 47.83/30.28 (nextState(constB25, constB26)),
% 47.83/30.28 inference(modus_ponens,[status(thm)],[4629, 4628])).
% 47.83/30.28 tff(4631,plain,
% 47.83/30.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2)))),
% 47.83/30.28 inference(rewrite,[status(thm)],[])).
% 47.83/30.28 tff(4632,plain,
% 47.83/30.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2)))),
% 47.83/30.28 inference(quant_inst,[status(thm)],[])).
% 47.83/30.28 tff(4633,plain,
% 47.83/30.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2))),
% 47.83/30.28 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 47.83/30.28 tff(4634,plain,
% 47.83/30.28 (v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2))),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4633, 1205, 4630])).
% 47.83/30.28 tff(4635,plain,
% 47.83/30.28 (~v123(constB26, bitIndex2)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4634, 4627])).
% 47.83/30.28 tff(4636,plain,
% 47.83/30.28 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB23)) | v124(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB23)) | v124(constB23, bitIndex2))),
% 47.83/30.28 inference(rewrite,[status(thm)],[])).
% 47.83/30.28 tff(4637,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB23)) | v124(constB23, bitIndex2))),
% 47.83/30.28 inference(quant_inst,[status(thm)],[])).
% 47.83/30.28 tff(4638,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB23)) | v124(constB23, bitIndex2)),
% 47.83/30.28 inference(modus_ponens,[status(thm)],[4637, 4636])).
% 47.83/30.28 tff(4639,plain,
% 47.83/30.28 (v124(constB23, bitIndex2)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4638, 691, 4071])).
% 47.83/30.28 tff(4640,plain,
% 47.83/30.28 (v121(constB23, bitIndex2)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4583, 4639])).
% 47.83/30.28 tff(4641,plain,
% 47.83/30.28 (v123(constB24, bitIndex2)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4578, 4640])).
% 47.83/30.28 tff(4642,plain,
% 47.83/30.28 (v84(constB24, bitIndex2) | (~v94(constB24))),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4572, 405, 4641])).
% 47.83/30.28 tff(4643,plain,
% 47.83/30.28 (v84(constB24, bitIndex2)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4642, 4145])).
% 47.83/30.28 tff(4644,plain,
% 47.83/30.28 (v84(constB25, bitIndex2)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4292, 4643])).
% 47.83/30.28 tff(4645,plain,
% 47.83/30.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB25)) | (~v84(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB25)) | (~v84(constB25, bitIndex2)))),
% 47.83/30.28 inference(rewrite,[status(thm)],[])).
% 47.83/30.28 tff(4646,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB25)) | (~v84(constB25, bitIndex2)))),
% 47.83/30.28 inference(quant_inst,[status(thm)],[])).
% 47.83/30.28 tff(4647,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB25)) | (~v84(constB25, bitIndex2))),
% 47.83/30.28 inference(modus_ponens,[status(thm)],[4646, 4645])).
% 47.83/30.28 tff(4648,plain,
% 47.83/30.28 (~v115(constB25)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4647, 1036, 4644])).
% 47.83/30.28 tff(4649,plain,
% 47.83/30.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB25)) | (~v84(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB25)) | (~v84(constB25, bitIndex2)))),
% 47.83/30.28 inference(rewrite,[status(thm)],[])).
% 47.83/30.28 tff(4650,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB25)) | (~v84(constB25, bitIndex2)))),
% 47.83/30.28 inference(quant_inst,[status(thm)],[])).
% 47.83/30.28 tff(4651,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB25)) | (~v84(constB25, bitIndex2))),
% 47.83/30.28 inference(modus_ponens,[status(thm)],[4650, 4649])).
% 47.83/30.28 tff(4652,plain,
% 47.83/30.28 (~v116(constB25)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4651, 1047, 4644])).
% 47.83/30.28 tff(4653,plain,
% 47.83/30.28 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB25)) | (~v84(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB25)) | (~v84(constB25, bitIndex1)))),
% 47.83/30.28 inference(rewrite,[status(thm)],[])).
% 47.83/30.28 tff(4654,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB25)) | (~v84(constB25, bitIndex1)))),
% 47.83/30.28 inference(quant_inst,[status(thm)],[])).
% 47.83/30.28 tff(4655,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB25)) | (~v84(constB25, bitIndex1))),
% 47.83/30.28 inference(modus_ponens,[status(thm)],[4654, 4653])).
% 47.83/30.28 tff(4656,plain,
% 47.83/30.28 (~v118(constB25)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4655, 1069, 4228])).
% 47.83/30.28 tff(4657,plain,
% 47.83/30.28 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB25)) | (~v84(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB25)) | (~v84(constB25, bitIndex1)))),
% 47.83/30.28 inference(rewrite,[status(thm)],[])).
% 47.83/30.28 tff(4658,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB25)) | (~v84(constB25, bitIndex1)))),
% 47.83/30.28 inference(quant_inst,[status(thm)],[])).
% 47.83/30.28 tff(4659,plain,
% 47.83/30.28 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB25)) | (~v84(constB25, bitIndex1))),
% 47.83/30.28 inference(modus_ponens,[status(thm)],[4658, 4657])).
% 47.83/30.28 tff(4660,plain,
% 47.83/30.28 (~v145(constB25)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4659, 1091, 4228])).
% 47.83/30.28 tff(4661,plain,
% 47.83/30.28 (~v113(constB25)),
% 47.83/30.28 inference(unit_resolution,[status(thm)],[4271, 1058, 4228])).
% 47.83/30.28 tff(4662,assumption,(~v145(constB25)), introduced(assumption)).
% 47.83/30.28 tff(4663,assumption,(~v115(constB25)), introduced(assumption)).
% 47.83/30.28 tff(4664,assumption,(~v118(constB25)), introduced(assumption)).
% 47.83/30.28 tff(4665,assumption,(~v113(constB25)), introduced(assumption)).
% 47.83/30.28 tff(4666,assumption,(~v116(constB25)), introduced(assumption)).
% 47.83/30.28 tff(4667,plain,
% 47.83/30.28 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))),
% 47.83/30.28 inference(rewrite,[status(thm)],[])).
% 47.83/30.28 tff(4668,plain,
% 47.83/30.28 ((v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0)) <=> (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))),
% 47.83/30.28 inference(rewrite,[status(thm)],[])).
% 47.83/30.28 tff(4669,plain,
% 47.83/30.28 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0)))),
% 47.83/30.28 inference(monotonicity,[status(thm)],[4668])).
% 47.83/30.28 tff(4670,plain,
% 47.83/30.28 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))),
% 47.83/30.29 inference(transitivity,[status(thm)],[4669, 4667])).
% 47.83/30.29 tff(4671,plain,
% 47.83/30.29 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0))),
% 47.83/30.29 inference(quant_inst,[status(thm)],[])).
% 47.83/30.29 tff(4672,plain,
% 47.83/30.29 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0)),
% 47.83/30.29 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 47.83/30.29 tff(4673,plain,
% 47.83/30.29 (v172(constB25) | v145(constB25) | v118(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4672, 1374, 4666])).
% 47.83/30.29 tff(4674,plain,
% 47.83/30.29 (v124(constB25, bitIndex0)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4673, 4665, 4252, 4664, 4663, 4662])).
% 47.83/30.29 tff(4675,plain,
% 47.83/30.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4676,plain,
% 47.83/30.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0))),
% 47.83/30.29 inference(quant_inst,[status(thm)],[])).
% 47.83/30.29 tff(4677,plain,
% 47.83/30.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0)),
% 47.83/30.29 inference(modus_ponens,[status(thm)],[4676, 4675])).
% 47.83/30.29 tff(4678,plain,
% 47.83/30.29 ((~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4677, 1391, 4619])).
% 47.83/30.29 tff(4679,plain,
% 47.83/30.29 (v121(constB25, bitIndex0)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4678, 4674])).
% 47.83/30.29 tff(4680,plain,
% 47.83/30.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4681,plain,
% 47.83/30.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0))),
% 47.83/30.29 inference(quant_inst,[status(thm)],[])).
% 47.83/30.29 tff(4682,plain,
% 47.83/30.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0)),
% 47.83/30.29 inference(modus_ponens,[status(thm)],[4681, 4680])).
% 47.83/30.29 tff(4683,plain,
% 47.83/30.29 ((~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4682, 1406, 4630])).
% 47.83/30.29 tff(4684,plain,
% 47.83/30.29 (v123(constB26, bitIndex0)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4683, 4679])).
% 47.83/30.29 tff(4685,assumption,(~v84(constB26, bitIndex0)), introduced(assumption)).
% 47.83/30.29 tff(4686,plain,
% 47.83/30.29 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4687,plain,
% 47.83/30.29 ((v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0))) <=> (v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4688,plain,
% 47.83/30.29 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26))))),
% 47.83/30.29 inference(monotonicity,[status(thm)],[4687])).
% 47.83/30.29 tff(4689,plain,
% 47.83/30.29 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))),
% 47.83/30.29 inference(transitivity,[status(thm)],[4688, 4686])).
% 47.83/30.29 tff(4690,plain,
% 47.83/30.29 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0)))),
% 47.83/30.29 inference(quant_inst,[status(thm)],[])).
% 47.83/30.29 tff(4691,plain,
% 47.83/30.29 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26))),
% 47.83/30.29 inference(modus_ponens,[status(thm)],[4690, 4689])).
% 47.83/30.29 tff(4692,plain,
% 47.83/30.29 ((~v123(constB26, bitIndex0)) | (~v94(constB26))),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4691, 1421, 4685])).
% 47.83/30.29 tff(4693,plain,
% 47.83/30.29 (~v94(constB26)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4692, 4684])).
% 47.83/30.29 tff(4694,plain,
% 47.83/30.29 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26)))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4695,plain,
% 47.83/30.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26)))),
% 47.83/30.29 inference(quant_inst,[status(thm)],[])).
% 47.83/30.29 tff(4696,plain,
% 47.83/30.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26))),
% 47.83/30.29 inference(modus_ponens,[status(thm)],[4695, 4694])).
% 47.83/30.29 tff(4697,plain,
% 47.83/30.29 (~v98(constB26)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4696, 423, 4630, 4173])).
% 47.83/30.29 tff(4698,plain,
% 47.83/30.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB25, constB26)) | v96(constB26) | v98(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB25, constB26)) | v96(constB26) | v98(constB26))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4699,plain,
% 47.83/30.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB25, constB26)) | v96(constB26) | v98(constB26))),
% 47.83/30.29 inference(quant_inst,[status(thm)],[])).
% 47.83/30.29 tff(4700,plain,
% 47.83/30.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB25, constB26)) | v96(constB26) | v98(constB26)),
% 47.83/30.29 inference(modus_ponens,[status(thm)],[4699, 4698])).
% 47.83/30.29 tff(4701,plain,
% 47.83/30.29 (v96(constB26) | v98(constB26)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4700, 437, 4630])).
% 47.83/30.29 tff(4702,plain,
% 47.83/30.29 (v96(constB26)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4701, 4697])).
% 47.83/30.29 tff(4703,plain,
% 47.83/30.29 (v1(constB26) <=> v1(constB26)),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4704,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 47.83/30.29 tff(4705,plain,
% 47.83/30.29 (v1(constB26)),
% 47.83/30.29 inference(modus_ponens,[status(thm)],[4704, 4703])).
% 47.83/30.29 tff(4706,plain,
% 47.83/30.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26)))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4707,plain,
% 47.83/30.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26)))),
% 47.83/30.29 inference(quant_inst,[status(thm)],[])).
% 47.83/30.29 tff(4708,plain,
% 47.83/30.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26))),
% 47.83/30.29 inference(modus_ponens,[status(thm)],[4707, 4706])).
% 47.83/30.29 tff(4709,plain,
% 47.83/30.29 (v95(constB26) | (~v96(constB26))),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4708, 455, 4630, 4705])).
% 47.83/30.29 tff(4710,plain,
% 47.83/30.29 (v95(constB26)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4709, 4702])).
% 47.83/30.29 tff(4711,plain,
% 47.83/30.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4712,plain,
% 47.83/30.29 (((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26)) <=> ((~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4713,plain,
% 47.83/30.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26))))),
% 47.83/30.29 inference(monotonicity,[status(thm)],[4712])).
% 47.83/30.29 tff(4714,plain,
% 47.83/30.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))),
% 47.83/30.29 inference(transitivity,[status(thm)],[4713, 4711])).
% 47.83/30.29 tff(4715,plain,
% 47.83/30.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26))),
% 47.83/30.29 inference(quant_inst,[status(thm)],[])).
% 47.83/30.29 tff(4716,plain,
% 47.83/30.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26))),
% 47.83/30.29 inference(modus_ponens,[status(thm)],[4715, 4714])).
% 47.83/30.29 tff(4717,plain,
% 47.83/30.29 (v94(constB26) | (~v95(constB26)) | (~v104(constB26))),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4716, 470, 4630])).
% 47.83/30.29 tff(4718,plain,
% 47.83/30.29 (v94(constB26) | (~v104(constB26))),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4717, 4710])).
% 47.83/30.29 tff(4719,plain,
% 47.83/30.29 (~v104(constB26)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4718, 4693])).
% 47.83/30.29 tff(4720,plain,
% 47.83/30.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4721,plain,
% 47.83/30.29 (((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26)) <=> ((~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4722,plain,
% 47.83/30.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25))))),
% 47.83/30.29 inference(monotonicity,[status(thm)],[4721])).
% 47.83/30.29 tff(4723,plain,
% 47.83/30.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))),
% 47.83/30.29 inference(transitivity,[status(thm)],[4722, 4720])).
% 47.83/30.29 tff(4724,plain,
% 47.83/30.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26))),
% 47.83/30.29 inference(quant_inst,[status(thm)],[])).
% 47.83/30.29 tff(4725,plain,
% 47.83/30.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25))),
% 47.83/30.29 inference(modus_ponens,[status(thm)],[4724, 4723])).
% 47.83/30.29 tff(4726,plain,
% 47.83/30.29 (v104(constB26) | (~v102(constB25))),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4725, 489, 4630])).
% 47.83/30.29 tff(4727,plain,
% 47.83/30.29 (~v102(constB25)),
% 47.83/30.29 inference(unit_resolution,[status(thm)],[4726, 4719])).
% 47.83/30.29 tff(4728,plain,
% 47.83/30.29 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB25) | (~v106(constB25)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB25) | (~v106(constB25)))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4729,plain,
% 47.83/30.29 (((~v106(constB25)) | v102(constB25)) <=> (v102(constB25) | (~v106(constB25)))),
% 47.83/30.29 inference(rewrite,[status(thm)],[])).
% 47.83/30.29 tff(4730,plain,
% 47.83/30.29 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB25)) | v102(constB25))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB25) | (~v106(constB25))))),
% 47.83/30.29 inference(monotonicity,[status(thm)],[4729])).
% 47.83/30.29 tff(4731,plain,
% 47.83/30.29 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB25)) | v102(constB25))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB25) | (~v106(constB25)))),
% 47.83/30.30 inference(transitivity,[status(thm)],[4730, 4728])).
% 47.83/30.30 tff(4732,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB25)) | v102(constB25))),
% 47.83/30.30 inference(quant_inst,[status(thm)],[])).
% 47.83/30.30 tff(4733,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB25) | (~v106(constB25))),
% 47.83/30.30 inference(modus_ponens,[status(thm)],[4732, 4731])).
% 47.83/30.30 tff(4734,plain,
% 47.83/30.30 (~v106(constB25)),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4733, 504, 4727])).
% 47.83/30.30 tff(4735,plain,
% 47.83/30.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB25) | (~v107(constB25)) | v106(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB25) | (~v107(constB25)) | v106(constB25))),
% 47.83/30.30 inference(rewrite,[status(thm)],[])).
% 47.83/30.30 tff(4736,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB25) | (~v107(constB25)) | v106(constB25))),
% 47.83/30.30 inference(quant_inst,[status(thm)],[])).
% 47.83/30.30 tff(4737,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB25) | (~v107(constB25)) | v106(constB25)),
% 47.83/30.30 inference(modus_ponens,[status(thm)],[4736, 4735])).
% 47.83/30.30 tff(4738,plain,
% 47.83/30.30 ((~v107(constB25)) | v106(constB25)),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4737, 348, 4619])).
% 47.83/30.30 tff(4739,plain,
% 47.83/30.30 (~v107(constB25)),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4738, 4734])).
% 47.83/30.30 tff(4740,plain,
% 47.83/30.30 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB25)) | v107(constB25))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB25)) | v107(constB25))),
% 47.83/30.30 inference(rewrite,[status(thm)],[])).
% 47.83/30.30 tff(4741,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB25)) | v107(constB25))),
% 47.83/30.30 inference(quant_inst,[status(thm)],[])).
% 47.83/30.30 tff(4742,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB25)) | v107(constB25)),
% 47.83/30.30 inference(modus_ponens,[status(thm)],[4741, 4740])).
% 47.83/30.30 tff(4743,plain,
% 47.83/30.30 (~v119(constB25)),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4742, 976, 4739])).
% 47.83/30.30 tff(4744,plain,
% 47.83/30.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB25, bitIndex0)) | (~nextState(constB25, constB26)) | v94(constB26) | v84(constB26, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB25, bitIndex0)) | (~nextState(constB25, constB26)) | v94(constB26) | v84(constB26, bitIndex0))),
% 47.83/30.30 inference(rewrite,[status(thm)],[])).
% 47.83/30.30 tff(4745,plain,
% 47.83/30.30 (((~nextState(constB25, constB26)) | (~v84(constB25, bitIndex0)) | v94(constB26) | v84(constB26, bitIndex0)) <=> ((~v84(constB25, bitIndex0)) | (~nextState(constB25, constB26)) | v94(constB26) | v84(constB26, bitIndex0))),
% 47.83/30.30 inference(rewrite,[status(thm)],[])).
% 47.83/30.30 tff(4746,plain,
% 47.83/30.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v84(constB25, bitIndex0)) | v94(constB26) | v84(constB26, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB25, bitIndex0)) | (~nextState(constB25, constB26)) | v94(constB26) | v84(constB26, bitIndex0)))),
% 47.83/30.30 inference(monotonicity,[status(thm)],[4745])).
% 47.83/30.30 tff(4747,plain,
% 47.83/30.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v84(constB25, bitIndex0)) | v94(constB26) | v84(constB26, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB25, bitIndex0)) | (~nextState(constB25, constB26)) | v94(constB26) | v84(constB26, bitIndex0))),
% 47.83/30.30 inference(transitivity,[status(thm)],[4746, 4744])).
% 47.83/30.30 tff(4748,plain,
% 47.83/30.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v84(constB25, bitIndex0)) | v94(constB26) | v84(constB26, bitIndex0))),
% 47.83/30.30 inference(quant_inst,[status(thm)],[])).
% 47.83/30.30 tff(4749,plain,
% 47.83/30.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB25, bitIndex0)) | (~nextState(constB25, constB26)) | v94(constB26) | v84(constB26, bitIndex0)),
% 47.83/30.30 inference(modus_ponens,[status(thm)],[4748, 4747])).
% 47.83/30.30 tff(4750,plain,
% 47.83/30.30 ((~v84(constB25, bitIndex0)) | v94(constB26) | v84(constB26, bitIndex0)),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4749, 1439, 4630])).
% 47.83/30.30 tff(4751,plain,
% 47.83/30.30 (~v84(constB25, bitIndex0)),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4750, 4693, 4685])).
% 47.83/30.30 tff(4752,assumption,(~v84(constB25, bitIndex1)), introduced(assumption)).
% 47.83/30.30 tff(4753,plain,
% 47.83/30.30 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex2)) | v172(constB25))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex2)) | v172(constB25))),
% 47.83/30.30 inference(rewrite,[status(thm)],[])).
% 47.83/30.30 tff(4754,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex2)) | v172(constB25))),
% 47.83/30.30 inference(quant_inst,[status(thm)],[])).
% 47.83/30.30 tff(4755,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex2)) | v172(constB25)),
% 47.83/30.30 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 47.83/30.30 tff(4756,plain,
% 47.83/30.30 (v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex2))),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4755, 679, 4252])).
% 47.83/30.30 tff(4757,plain,
% 47.83/30.30 (~v84(constB25, bitIndex2)),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4756, 4752, 4233])).
% 47.83/30.30 tff(4758,plain,
% 47.83/30.30 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2) | v113(constB25))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2) | v113(constB25))),
% 47.83/30.30 inference(rewrite,[status(thm)],[])).
% 47.83/30.30 tff(4759,plain,
% 47.83/30.30 ((v84(constB25, bitIndex0) | v113(constB25) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2)) <=> (v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2) | v113(constB25))),
% 47.83/30.30 inference(rewrite,[status(thm)],[])).
% 47.83/30.30 tff(4760,plain,
% 47.83/30.30 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB25, bitIndex0) | v113(constB25) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2) | v113(constB25)))),
% 47.83/30.30 inference(monotonicity,[status(thm)],[4759])).
% 47.83/30.30 tff(4761,plain,
% 47.83/30.30 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB25, bitIndex0) | v113(constB25) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2) | v113(constB25))),
% 47.83/30.30 inference(transitivity,[status(thm)],[4760, 4758])).
% 47.83/30.30 tff(4762,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB25, bitIndex0) | v113(constB25) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2))),
% 47.83/30.30 inference(quant_inst,[status(thm)],[])).
% 47.83/30.30 tff(4763,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2) | v113(constB25)),
% 47.83/30.30 inference(modus_ponens,[status(thm)],[4762, 4761])).
% 47.83/30.30 tff(4764,plain,
% 47.83/30.30 (v84(constB25, bitIndex1) | v84(constB25, bitIndex2)),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4763, 205, 4233, 4665])).
% 47.83/30.30 tff(4765,plain,
% 47.83/30.30 ($false),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4764, 4757, 4752])).
% 47.83/30.30 tff(4766,plain,(v84(constB25, bitIndex1) | v84(constB25, bitIndex0) | v113(constB25) | v172(constB25)), inference(lemma,lemma(discharge,[]))).
% 47.83/30.30 tff(4767,plain,
% 47.83/30.30 (v84(constB25, bitIndex1)),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4766, 4751, 4665, 4252])).
% 47.83/30.30 tff(4768,plain,
% 47.83/30.30 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex2) | v115(constB25))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex2) | v115(constB25))),
% 47.83/30.30 inference(rewrite,[status(thm)],[])).
% 47.83/30.30 tff(4769,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex2) | v115(constB25))),
% 47.83/30.30 inference(quant_inst,[status(thm)],[])).
% 47.83/30.30 tff(4770,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex2) | v115(constB25)),
% 47.83/30.30 inference(modus_ponens,[status(thm)],[4769, 4768])).
% 47.83/30.30 tff(4771,plain,
% 47.83/30.30 (v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex2)),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4770, 1594, 4663])).
% 47.83/30.30 tff(4772,plain,
% 47.83/30.30 (v84(constB25, bitIndex2)),
% 47.83/30.30 inference(unit_resolution,[status(thm)],[4771, 4767, 4751])).
% 47.83/30.30 tff(4773,plain,
% 47.83/30.30 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25))),
% 47.83/30.30 inference(rewrite,[status(thm)],[])).
% 47.83/30.30 tff(4774,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25))),
% 47.83/30.30 inference(quant_inst,[status(thm)],[])).
% 47.83/30.30 tff(4775,plain,
% 47.83/30.30 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25)),
% 47.83/30.30 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 47.83/30.30 tff(4776,plain,
% 47.83/30.30 ((~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25)),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4775, 965, 4751])).
% 47.83/30.31 tff(4777,plain,
% 47.83/30.31 ($false),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4776, 4772, 4767, 4743])).
% 47.83/30.31 tff(4778,plain,(v113(constB25) | v115(constB25) | v172(constB25) | v84(constB26, bitIndex0) | v118(constB25) | v145(constB25) | v116(constB25)), inference(lemma,lemma(discharge,[]))).
% 47.83/30.31 tff(4779,plain,
% 47.83/30.31 (v84(constB26, bitIndex0)),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4778, 4232, 4661, 4660, 4656, 4652, 4648])).
% 47.83/30.31 tff(4780,plain,
% 47.83/30.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v94(constB26) | (~v84(constB26, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v94(constB26) | (~v84(constB26, bitIndex0)))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4781,plain,
% 47.83/30.31 (((~nextState(constB25, constB26)) | v84(constB25, bitIndex0) | v94(constB26) | (~v84(constB26, bitIndex0))) <=> (v84(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v94(constB26) | (~v84(constB26, bitIndex0)))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4782,plain,
% 47.83/30.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v84(constB25, bitIndex0) | v94(constB26) | (~v84(constB26, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v94(constB26) | (~v84(constB26, bitIndex0))))),
% 47.83/30.31 inference(monotonicity,[status(thm)],[4781])).
% 47.83/30.31 tff(4783,plain,
% 47.83/30.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v84(constB25, bitIndex0) | v94(constB26) | (~v84(constB26, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v94(constB26) | (~v84(constB26, bitIndex0)))),
% 47.83/30.31 inference(transitivity,[status(thm)],[4782, 4780])).
% 47.83/30.31 tff(4784,plain,
% 47.83/30.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v84(constB25, bitIndex0) | v94(constB26) | (~v84(constB26, bitIndex0)))),
% 47.83/30.31 inference(quant_inst,[status(thm)],[])).
% 47.83/30.31 tff(4785,plain,
% 47.83/30.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v94(constB26) | (~v84(constB26, bitIndex0))),
% 47.83/30.31 inference(modus_ponens,[status(thm)],[4784, 4783])).
% 47.83/30.31 tff(4786,plain,
% 47.83/30.31 (v84(constB25, bitIndex0) | v94(constB26) | (~v84(constB26, bitIndex0))),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4785, 184, 4630])).
% 47.83/30.31 tff(4787,plain,
% 47.83/30.31 (v94(constB26)),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4786, 4779, 4197])).
% 47.83/30.31 tff(4788,plain,
% 47.83/30.31 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4789,plain,
% 47.83/30.31 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))),
% 47.83/30.31 inference(quant_inst,[status(thm)],[])).
% 47.83/30.31 tff(4790,plain,
% 47.83/30.31 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26))),
% 47.83/30.31 inference(modus_ponens,[status(thm)],[4789, 4788])).
% 47.83/30.31 tff(4791,plain,
% 47.83/30.31 (~v84(constB26, bitIndex2)),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4790, 1220, 4787, 4635])).
% 47.83/30.31 tff(4792,plain,
% 47.83/30.31 ((~v1(constB27)) <=> (~v1(constB27))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4793,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 47.83/30.31 tff(4794,plain,
% 47.83/30.31 (~v1(constB27)),
% 47.83/30.31 inference(modus_ponens,[status(thm)],[4793, 4792])).
% 47.83/30.31 tff(4795,plain,
% 47.83/30.31 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4796,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 47.83/30.31 tff(4797,plain,
% 47.83/30.31 (nextState(constB26, constB27)),
% 47.83/30.31 inference(modus_ponens,[status(thm)],[4796, 4795])).
% 47.83/30.31 tff(4798,plain,
% 47.83/30.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4799,plain,
% 47.83/30.31 (((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4800,plain,
% 47.83/30.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27))))),
% 47.83/30.31 inference(monotonicity,[status(thm)],[4799])).
% 47.83/30.31 tff(4801,plain,
% 47.83/30.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))),
% 47.83/30.31 inference(transitivity,[status(thm)],[4800, 4798])).
% 47.83/30.31 tff(4802,plain,
% 47.83/30.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27))),
% 47.83/30.31 inference(quant_inst,[status(thm)],[])).
% 47.83/30.31 tff(4803,plain,
% 47.83/30.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27))),
% 47.83/30.31 inference(modus_ponens,[status(thm)],[4802, 4801])).
% 47.83/30.31 tff(4804,plain,
% 47.83/30.31 (~v95(constB27)),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4803, 110, 4797, 4794])).
% 47.83/30.31 tff(4805,plain,
% 47.83/30.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27)))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4806,plain,
% 47.83/30.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27)))),
% 47.83/30.31 inference(quant_inst,[status(thm)],[])).
% 47.83/30.31 tff(4807,plain,
% 47.83/30.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27))),
% 47.83/30.31 inference(modus_ponens,[status(thm)],[4806, 4805])).
% 47.83/30.31 tff(4808,plain,
% 47.83/30.31 (v95(constB27) | (~v94(constB27))),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4807, 127, 4797])).
% 47.83/30.31 tff(4809,plain,
% 47.83/30.31 (~v94(constB27)),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4808, 4804])).
% 47.83/30.31 tff(4810,plain,
% 47.83/30.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4811,plain,
% 47.83/30.31 (((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2))) <=> (v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4812,plain,
% 47.83/30.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2))))),
% 47.83/30.31 inference(monotonicity,[status(thm)],[4811])).
% 47.83/30.31 tff(4813,plain,
% 47.83/30.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 47.83/30.31 inference(transitivity,[status(thm)],[4812, 4810])).
% 47.83/30.31 tff(4814,plain,
% 47.83/30.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 47.83/30.31 inference(quant_inst,[status(thm)],[])).
% 47.83/30.31 tff(4815,plain,
% 47.83/30.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2))),
% 47.83/30.31 inference(modus_ponens,[status(thm)],[4814, 4813])).
% 47.83/30.31 tff(4816,plain,
% 47.83/30.31 (v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2))),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4815, 142, 4797])).
% 47.83/30.31 tff(4817,plain,
% 47.83/30.31 (v84(constB26, bitIndex2) | (~v84(constB27, bitIndex2))),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4816, 4809])).
% 47.83/30.31 tff(4818,plain,
% 47.83/30.31 (~v84(constB27, bitIndex2)),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4817, 4791])).
% 47.83/30.31 tff(4819,plain,
% 47.83/30.31 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4820,plain,
% 47.83/30.31 ((v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1))) <=> (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4821,plain,
% 47.83/30.31 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1))))),
% 47.83/30.31 inference(monotonicity,[status(thm)],[4820])).
% 47.83/30.31 tff(4822,plain,
% 47.83/30.31 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))),
% 47.83/30.31 inference(transitivity,[status(thm)],[4821, 4819])).
% 47.83/30.31 tff(4823,plain,
% 47.83/30.31 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1)))),
% 47.83/30.31 inference(quant_inst,[status(thm)],[])).
% 47.83/30.31 tff(4824,plain,
% 47.83/30.31 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1))),
% 47.83/30.31 inference(modus_ponens,[status(thm)],[4823, 4822])).
% 47.83/30.31 tff(4825,plain,
% 47.83/30.31 (~v124(constB25, bitIndex1)),
% 47.83/30.31 inference(unit_resolution,[status(thm)],[4824, 1105, 4660, 4652, 4661, 4232, 4648, 4656])).
% 47.83/30.31 tff(4826,plain,
% 47.83/30.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4827,plain,
% 47.83/30.31 ((v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1))) <=> ((~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))),
% 47.83/30.31 inference(rewrite,[status(thm)],[])).
% 47.83/30.31 tff(4828,plain,
% 47.83/30.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1)))),
% 47.83/30.31 inference(monotonicity,[status(thm)],[4827])).
% 47.83/30.31 tff(4829,plain,
% 47.83/30.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))),
% 47.83/30.32 inference(transitivity,[status(thm)],[4828, 4826])).
% 47.83/30.32 tff(4830,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1)))),
% 47.83/30.32 inference(quant_inst,[status(thm)],[])).
% 47.83/30.32 tff(4831,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1)),
% 47.83/30.32 inference(modus_ponens,[status(thm)],[4830, 4829])).
% 47.83/30.32 tff(4832,plain,
% 47.83/30.32 ((~v121(constB25, bitIndex1)) | v124(constB25, bitIndex1)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4831, 233, 4619])).
% 47.83/30.32 tff(4833,plain,
% 47.83/30.32 (~v121(constB25, bitIndex1)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4832, 4825])).
% 47.83/30.32 tff(4834,plain,
% 47.83/30.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1)))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4835,plain,
% 47.83/30.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1)))),
% 47.83/30.32 inference(quant_inst,[status(thm)],[])).
% 47.83/30.32 tff(4836,plain,
% 47.83/30.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1))),
% 47.83/30.32 inference(modus_ponens,[status(thm)],[4835, 4834])).
% 47.83/30.32 tff(4837,plain,
% 47.83/30.32 (v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1))),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4836, 254, 4630])).
% 47.83/30.32 tff(4838,plain,
% 47.83/30.32 (~v123(constB26, bitIndex1)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4837, 4833])).
% 47.83/30.32 tff(4839,plain,
% 47.83/30.32 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4840,plain,
% 47.83/30.32 (((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1)) <=> ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4841,plain,
% 47.83/30.32 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26))))),
% 47.83/30.32 inference(monotonicity,[status(thm)],[4840])).
% 47.83/30.32 tff(4842,plain,
% 47.83/30.32 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))),
% 47.83/30.32 inference(transitivity,[status(thm)],[4841, 4839])).
% 47.83/30.32 tff(4843,plain,
% 47.83/30.32 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1))),
% 47.83/30.32 inference(quant_inst,[status(thm)],[])).
% 47.83/30.32 tff(4844,plain,
% 47.83/30.32 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26))),
% 47.83/30.32 inference(modus_ponens,[status(thm)],[4843, 4842])).
% 47.83/30.32 tff(4845,plain,
% 47.83/30.32 ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4844, 532, 4787])).
% 47.83/30.32 tff(4846,plain,
% 47.83/30.32 (~v84(constB26, bitIndex1)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4845, 4838])).
% 47.83/30.32 tff(4847,plain,
% 47.83/30.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4848,plain,
% 47.83/30.32 (((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1))) <=> (v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4849,plain,
% 47.83/30.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1))))),
% 47.83/30.32 inference(monotonicity,[status(thm)],[4848])).
% 47.83/30.32 tff(4850,plain,
% 47.83/30.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 47.83/30.32 inference(transitivity,[status(thm)],[4849, 4847])).
% 47.83/30.32 tff(4851,plain,
% 47.83/30.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 47.83/30.32 inference(quant_inst,[status(thm)],[])).
% 47.83/30.32 tff(4852,plain,
% 47.83/30.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1))),
% 47.83/30.32 inference(modus_ponens,[status(thm)],[4851, 4850])).
% 47.83/30.32 tff(4853,plain,
% 47.83/30.32 (v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1))),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4852, 163, 4797])).
% 47.83/30.32 tff(4854,plain,
% 47.83/30.32 (v84(constB26, bitIndex1) | (~v84(constB27, bitIndex1))),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4853, 4809])).
% 47.83/30.32 tff(4855,plain,
% 47.83/30.32 (~v84(constB27, bitIndex1)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4854, 4846])).
% 47.83/30.32 tff(4856,plain,
% 47.83/30.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4857,plain,
% 47.83/30.32 (((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0)) <=> ((~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4858,plain,
% 47.83/30.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0)))),
% 47.83/30.32 inference(monotonicity,[status(thm)],[4857])).
% 47.83/30.32 tff(4859,plain,
% 47.83/30.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))),
% 47.83/30.32 inference(transitivity,[status(thm)],[4858, 4856])).
% 47.83/30.32 tff(4860,plain,
% 47.83/30.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0))),
% 47.83/30.32 inference(quant_inst,[status(thm)],[])).
% 47.83/30.32 tff(4861,plain,
% 47.83/30.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0)),
% 47.83/30.32 inference(modus_ponens,[status(thm)],[4860, 4859])).
% 47.83/30.32 tff(4862,plain,
% 47.83/30.32 ((~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4861, 1439, 4797])).
% 47.83/30.32 tff(4863,plain,
% 47.83/30.32 ((~v84(constB26, bitIndex0)) | v84(constB27, bitIndex0)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4862, 4809])).
% 47.83/30.32 tff(4864,plain,
% 47.83/30.32 (v84(constB27, bitIndex0)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4863, 4779])).
% 47.83/30.32 tff(4865,plain,
% 47.83/30.32 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4866,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27))),
% 47.83/30.32 inference(quant_inst,[status(thm)],[])).
% 47.83/30.32 tff(4867,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27)),
% 47.83/30.32 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 47.83/30.32 tff(4868,plain,
% 47.83/30.32 (v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4867, 1268, 4864])).
% 47.83/30.32 tff(4869,plain,
% 47.83/30.32 (v145(constB27)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4868, 4855, 4818])).
% 47.83/30.32 tff(4870,plain,
% 47.83/30.32 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB27) | (~v145(constB27)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB27) | (~v145(constB27)))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4871,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB27) | (~v145(constB27)))),
% 47.83/30.32 inference(quant_inst,[status(thm)],[])).
% 47.83/30.32 tff(4872,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB27) | (~v145(constB27))),
% 47.83/30.32 inference(modus_ponens,[status(thm)],[4871, 4870])).
% 47.83/30.32 tff(4873,plain,
% 47.83/30.32 (v112(constB27)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4872, 1253, 4869])).
% 47.83/30.32 tff(4874,plain,
% 47.83/30.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB27)) | v111(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB27)) | v111(constB27))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4875,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB27)) | v111(constB27))),
% 47.83/30.32 inference(quant_inst,[status(thm)],[])).
% 47.83/30.32 tff(4876,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB27)) | v111(constB27)),
% 47.83/30.32 inference(modus_ponens,[status(thm)],[4875, 4874])).
% 47.83/30.32 tff(4877,plain,
% 47.83/30.32 (v111(constB27)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4876, 278, 4873])).
% 47.83/30.32 tff(4878,plain,
% 47.83/30.32 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB27)) | v110(constB27))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB27)) | v110(constB27))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4879,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB27)) | v110(constB27))),
% 47.83/30.32 inference(quant_inst,[status(thm)],[])).
% 47.83/30.32 tff(4880,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB27)) | v110(constB27)),
% 47.83/30.32 inference(modus_ponens,[status(thm)],[4879, 4878])).
% 47.83/30.32 tff(4881,plain,
% 47.83/30.32 (v110(constB27)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4880, 292, 4877])).
% 47.83/30.32 tff(4882,plain,
% 47.83/30.32 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB27) | (~v110(constB27)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB27) | (~v110(constB27)))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4883,plain,
% 47.83/30.32 (((~v110(constB27)) | v109(constB27)) <=> (v109(constB27) | (~v110(constB27)))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4884,plain,
% 47.83/30.32 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB27)) | v109(constB27))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB27) | (~v110(constB27))))),
% 47.83/30.32 inference(monotonicity,[status(thm)],[4883])).
% 47.83/30.32 tff(4885,plain,
% 47.83/30.32 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB27)) | v109(constB27))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB27) | (~v110(constB27)))),
% 47.83/30.32 inference(transitivity,[status(thm)],[4884, 4882])).
% 47.83/30.32 tff(4886,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB27)) | v109(constB27))),
% 47.83/30.32 inference(quant_inst,[status(thm)],[])).
% 47.83/30.32 tff(4887,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB27) | (~v110(constB27))),
% 47.83/30.32 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 47.83/30.32 tff(4888,plain,
% 47.83/30.32 (v109(constB27)),
% 47.83/30.32 inference(unit_resolution,[status(thm)],[4887, 306, 4881])).
% 47.83/30.32 tff(4889,plain,
% 47.83/30.32 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB27)) | v108(constB27))),
% 47.83/30.32 inference(rewrite,[status(thm)],[])).
% 47.83/30.32 tff(4890,plain,
% 47.83/30.32 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB27)) | v108(constB27))),
% 47.83/30.33 inference(quant_inst,[status(thm)],[])).
% 47.83/30.33 tff(4891,plain,
% 47.83/30.33 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB27)) | v108(constB27)),
% 47.83/30.33 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 47.83/30.33 tff(4892,plain,
% 47.83/30.33 (v108(constB27)),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4891, 320, 4888])).
% 47.83/30.33 tff(4893,plain,
% 47.83/30.33 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB27) | (~v108(constB27)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB27) | (~v108(constB27)))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4894,plain,
% 47.83/30.33 (((~v108(constB27)) | v107(constB27)) <=> (v107(constB27) | (~v108(constB27)))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4895,plain,
% 47.83/30.33 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB27)) | v107(constB27))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB27) | (~v108(constB27))))),
% 47.83/30.33 inference(monotonicity,[status(thm)],[4894])).
% 47.83/30.33 tff(4896,plain,
% 47.83/30.33 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB27)) | v107(constB27))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB27) | (~v108(constB27)))),
% 47.83/30.33 inference(transitivity,[status(thm)],[4895, 4893])).
% 47.83/30.33 tff(4897,plain,
% 47.83/30.33 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB27)) | v107(constB27))),
% 47.83/30.33 inference(quant_inst,[status(thm)],[])).
% 47.83/30.33 tff(4898,plain,
% 47.83/30.33 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB27) | (~v108(constB27))),
% 47.83/30.33 inference(modus_ponens,[status(thm)],[4897, 4896])).
% 47.83/30.33 tff(4899,plain,
% 47.83/30.33 (v107(constB27)),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4898, 334, 4892])).
% 47.83/30.33 tff(4900,assumption,(v26(constB27)), introduced(assumption)).
% 47.83/30.33 tff(4901,plain,
% 47.83/30.33 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 47.83/30.33 inference(quant_inst,[status(thm)],[])).
% 47.83/30.33 tff(4902,plain,
% 47.83/30.33 ($false),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4901, 55, 4900])).
% 47.83/30.33 tff(4903,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 47.83/30.33 tff(4904,plain,
% 47.83/30.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB27) | (~v107(constB27)) | v106(constB27))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB27) | (~v107(constB27)) | v106(constB27))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4905,plain,
% 47.83/30.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB27) | (~v107(constB27)) | v106(constB27))),
% 47.83/30.33 inference(quant_inst,[status(thm)],[])).
% 47.83/30.33 tff(4906,plain,
% 47.83/30.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB27) | (~v107(constB27)) | v106(constB27)),
% 47.83/30.33 inference(modus_ponens,[status(thm)],[4905, 4904])).
% 47.83/30.33 tff(4907,plain,
% 47.83/30.33 ((~v107(constB27)) | v106(constB27)),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4906, 348, 4903])).
% 47.83/30.33 tff(4908,plain,
% 47.83/30.33 (v106(constB27)),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4907, 4899])).
% 47.83/30.33 tff(4909,plain,
% 47.83/30.33 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB27) | (~v106(constB27)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB27) | (~v106(constB27)))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4910,plain,
% 47.83/30.33 (((~v106(constB27)) | v102(constB27)) <=> (v102(constB27) | (~v106(constB27)))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4911,plain,
% 47.83/30.33 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB27)) | v102(constB27))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB27) | (~v106(constB27))))),
% 47.83/30.33 inference(monotonicity,[status(thm)],[4910])).
% 47.83/30.33 tff(4912,plain,
% 47.83/30.33 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB27)) | v102(constB27))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB27) | (~v106(constB27)))),
% 47.83/30.33 inference(transitivity,[status(thm)],[4911, 4909])).
% 47.83/30.33 tff(4913,plain,
% 47.83/30.33 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB27)) | v102(constB27))),
% 47.83/30.33 inference(quant_inst,[status(thm)],[])).
% 47.83/30.33 tff(4914,plain,
% 47.83/30.33 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB27) | (~v106(constB27))),
% 47.83/30.33 inference(modus_ponens,[status(thm)],[4913, 4912])).
% 47.83/30.33 tff(4915,plain,
% 47.83/30.33 (v102(constB27)),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4914, 504, 4908])).
% 47.83/30.33 tff(4916,plain,
% 47.83/30.33 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4917,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 47.83/30.33 tff(4918,plain,
% 47.83/30.33 (nextState(constB27, constB28)),
% 47.83/30.33 inference(modus_ponens,[status(thm)],[4917, 4916])).
% 47.83/30.33 tff(4919,plain,
% 47.83/30.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4920,plain,
% 47.83/30.33 (((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28)) <=> ((~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4921,plain,
% 47.83/30.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27))))),
% 47.83/30.33 inference(monotonicity,[status(thm)],[4920])).
% 47.83/30.33 tff(4922,plain,
% 47.83/30.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))),
% 47.83/30.33 inference(transitivity,[status(thm)],[4921, 4919])).
% 47.83/30.33 tff(4923,plain,
% 47.83/30.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28))),
% 47.83/30.33 inference(quant_inst,[status(thm)],[])).
% 47.83/30.33 tff(4924,plain,
% 47.83/30.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27))),
% 47.83/30.33 inference(modus_ponens,[status(thm)],[4923, 4922])).
% 47.83/30.33 tff(4925,plain,
% 47.83/30.33 (v104(constB28) | (~v102(constB27))),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4924, 489, 4918])).
% 47.83/30.33 tff(4926,plain,
% 47.83/30.33 (v104(constB28)),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4925, 4915])).
% 47.83/30.33 tff(4927,plain,
% 47.83/30.33 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28)))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4928,plain,
% 47.83/30.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28)))),
% 47.83/30.33 inference(quant_inst,[status(thm)],[])).
% 47.83/30.33 tff(4929,plain,
% 47.83/30.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28))),
% 47.83/30.33 inference(modus_ponens,[status(thm)],[4928, 4927])).
% 47.83/30.33 tff(4930,plain,
% 47.83/30.33 (~v98(constB28)),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4929, 423, 4918, 4794])).
% 47.83/30.33 tff(4931,plain,
% 47.83/30.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB27, constB28)) | v96(constB28) | v98(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB27, constB28)) | v96(constB28) | v98(constB28))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4932,plain,
% 47.83/30.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB27, constB28)) | v96(constB28) | v98(constB28))),
% 47.83/30.33 inference(quant_inst,[status(thm)],[])).
% 47.83/30.33 tff(4933,plain,
% 47.83/30.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB27, constB28)) | v96(constB28) | v98(constB28)),
% 47.83/30.33 inference(modus_ponens,[status(thm)],[4932, 4931])).
% 47.83/30.33 tff(4934,plain,
% 47.83/30.33 (v96(constB28) | v98(constB28)),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4933, 437, 4918])).
% 47.83/30.33 tff(4935,plain,
% 47.83/30.33 (v96(constB28)),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4934, 4930])).
% 47.83/30.33 tff(4936,plain,
% 47.83/30.33 (v1(constB28) <=> v1(constB28)),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4937,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 47.83/30.33 tff(4938,plain,
% 47.83/30.33 (v1(constB28)),
% 47.83/30.33 inference(modus_ponens,[status(thm)],[4937, 4936])).
% 47.83/30.33 tff(4939,plain,
% 47.83/30.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28)))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4940,plain,
% 47.83/30.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28)))),
% 47.83/30.33 inference(quant_inst,[status(thm)],[])).
% 47.83/30.33 tff(4941,plain,
% 47.83/30.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28))),
% 47.83/30.33 inference(modus_ponens,[status(thm)],[4940, 4939])).
% 47.83/30.33 tff(4942,plain,
% 47.83/30.33 (v95(constB28) | (~v96(constB28))),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4941, 455, 4918, 4938])).
% 47.83/30.33 tff(4943,plain,
% 47.83/30.33 (v95(constB28)),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4942, 4935])).
% 47.83/30.33 tff(4944,plain,
% 47.83/30.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4945,plain,
% 47.83/30.33 (((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28)) <=> ((~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4946,plain,
% 47.83/30.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28))))),
% 47.83/30.33 inference(monotonicity,[status(thm)],[4945])).
% 47.83/30.33 tff(4947,plain,
% 47.83/30.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))),
% 47.83/30.33 inference(transitivity,[status(thm)],[4946, 4944])).
% 47.83/30.33 tff(4948,plain,
% 47.83/30.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28))),
% 47.83/30.33 inference(quant_inst,[status(thm)],[])).
% 47.83/30.33 tff(4949,plain,
% 47.83/30.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28))),
% 47.83/30.33 inference(modus_ponens,[status(thm)],[4948, 4947])).
% 47.83/30.33 tff(4950,plain,
% 47.83/30.33 (v94(constB28) | (~v95(constB28)) | (~v104(constB28))),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4949, 470, 4918])).
% 47.83/30.33 tff(4951,plain,
% 47.83/30.33 (v94(constB28) | (~v104(constB28))),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4950, 4943])).
% 47.83/30.33 tff(4952,plain,
% 47.83/30.33 (v94(constB28)),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4951, 4926])).
% 47.83/30.33 tff(4953,plain,
% 47.83/30.33 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB27)) | (~v124(constB27, bitIndex2)))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4954,plain,
% 47.83/30.33 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex2)))),
% 47.83/30.33 inference(quant_inst,[status(thm)],[])).
% 47.83/30.33 tff(4955,plain,
% 47.83/30.33 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB27)) | (~v124(constB27, bitIndex2))),
% 47.83/30.33 inference(modus_ponens,[status(thm)],[4954, 4953])).
% 47.83/30.33 tff(4956,plain,
% 47.83/30.33 (~v124(constB27, bitIndex2)),
% 47.83/30.33 inference(unit_resolution,[status(thm)],[4955, 1456, 4869])).
% 47.83/30.33 tff(4957,plain,
% 47.83/30.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4958,plain,
% 47.83/30.33 ((v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2))) <=> ((~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))),
% 47.83/30.33 inference(rewrite,[status(thm)],[])).
% 47.83/30.33 tff(4959,plain,
% 47.83/30.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2)))),
% 47.83/30.33 inference(monotonicity,[status(thm)],[4958])).
% 47.83/30.33 tff(4960,plain,
% 47.83/30.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))),
% 47.83/30.33 inference(transitivity,[status(thm)],[4959, 4957])).
% 47.83/30.33 tff(4961,plain,
% 47.83/30.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2)))),
% 47.83/30.34 inference(quant_inst,[status(thm)],[])).
% 47.83/30.34 tff(4962,plain,
% 47.83/30.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2)),
% 47.83/30.34 inference(modus_ponens,[status(thm)],[4961, 4960])).
% 47.83/30.34 tff(4963,plain,
% 47.83/30.34 ((~v121(constB27, bitIndex2)) | v124(constB27, bitIndex2)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[4962, 1187, 4903])).
% 47.83/30.34 tff(4964,plain,
% 47.83/30.34 (~v121(constB27, bitIndex2)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[4963, 4956])).
% 47.83/30.34 tff(4965,plain,
% 47.83/30.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2)))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(4966,plain,
% 47.83/30.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2)))),
% 47.83/30.34 inference(quant_inst,[status(thm)],[])).
% 47.83/30.34 tff(4967,plain,
% 47.83/30.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2))),
% 47.83/30.34 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 47.83/30.34 tff(4968,plain,
% 47.83/30.34 (v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2))),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[4967, 1205, 4918])).
% 47.83/30.34 tff(4969,plain,
% 47.83/30.34 (~v123(constB28, bitIndex2)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[4968, 4964])).
% 47.83/30.34 tff(4970,plain,
% 47.83/30.34 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(4971,plain,
% 47.83/30.34 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))),
% 47.83/30.34 inference(quant_inst,[status(thm)],[])).
% 47.83/30.34 tff(4972,plain,
% 47.83/30.34 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28))),
% 47.83/30.34 inference(modus_ponens,[status(thm)],[4971, 4970])).
% 47.83/30.34 tff(4973,plain,
% 47.83/30.34 ((~v84(constB28, bitIndex2)) | (~v94(constB28))),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[4972, 1220, 4969])).
% 47.83/30.34 tff(4974,plain,
% 47.83/30.34 (~v84(constB28, bitIndex2)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[4973, 4952])).
% 47.83/30.34 tff(4975,plain,
% 47.83/30.34 ((~v1(constB29)) <=> (~v1(constB29))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(4976,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 47.83/30.34 tff(4977,plain,
% 47.83/30.34 (~v1(constB29)),
% 47.83/30.34 inference(modus_ponens,[status(thm)],[4976, 4975])).
% 47.83/30.34 tff(4978,plain,
% 47.83/30.34 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(4979,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 47.83/30.34 tff(4980,plain,
% 47.83/30.34 (nextState(constB28, constB29)),
% 47.83/30.34 inference(modus_ponens,[status(thm)],[4979, 4978])).
% 47.83/30.34 tff(4981,plain,
% 47.83/30.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(4982,plain,
% 47.83/30.34 (((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(4983,plain,
% 47.83/30.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29))))),
% 47.83/30.34 inference(monotonicity,[status(thm)],[4982])).
% 47.83/30.34 tff(4984,plain,
% 47.83/30.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))),
% 47.83/30.34 inference(transitivity,[status(thm)],[4983, 4981])).
% 47.83/30.34 tff(4985,plain,
% 47.83/30.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29))),
% 47.83/30.34 inference(quant_inst,[status(thm)],[])).
% 47.83/30.34 tff(4986,plain,
% 47.83/30.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29))),
% 47.83/30.34 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 47.83/30.34 tff(4987,plain,
% 47.83/30.34 (~v95(constB29)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[4986, 110, 4980, 4977])).
% 47.83/30.34 tff(4988,plain,
% 47.83/30.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29)))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(4989,plain,
% 47.83/30.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29)))),
% 47.83/30.34 inference(quant_inst,[status(thm)],[])).
% 47.83/30.34 tff(4990,plain,
% 47.83/30.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29))),
% 47.83/30.34 inference(modus_ponens,[status(thm)],[4989, 4988])).
% 47.83/30.34 tff(4991,plain,
% 47.83/30.34 (v95(constB29) | (~v94(constB29))),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[4990, 127, 4980])).
% 47.83/30.34 tff(4992,plain,
% 47.83/30.34 (~v94(constB29)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[4991, 4987])).
% 47.83/30.34 tff(4993,plain,
% 47.83/30.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(4994,plain,
% 47.83/30.34 (((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2))) <=> (v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(4995,plain,
% 47.83/30.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2))))),
% 47.83/30.34 inference(monotonicity,[status(thm)],[4994])).
% 47.83/30.34 tff(4996,plain,
% 47.83/30.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 47.83/30.34 inference(transitivity,[status(thm)],[4995, 4993])).
% 47.83/30.34 tff(4997,plain,
% 47.83/30.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 47.83/30.34 inference(quant_inst,[status(thm)],[])).
% 47.83/30.34 tff(4998,plain,
% 47.83/30.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2))),
% 47.83/30.34 inference(modus_ponens,[status(thm)],[4997, 4996])).
% 47.83/30.34 tff(4999,plain,
% 47.83/30.34 (v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2))),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[4998, 142, 4980])).
% 47.83/30.34 tff(5000,plain,
% 47.83/30.34 (v84(constB28, bitIndex2) | (~v84(constB29, bitIndex2))),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[4999, 4992])).
% 47.83/30.34 tff(5001,plain,
% 47.83/30.34 (~v84(constB29, bitIndex2)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[5000, 4974])).
% 47.83/30.34 tff(5002,plain,
% 47.83/30.34 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB27)) | v124(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB27)) | v124(constB27, bitIndex1))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(5003,plain,
% 47.83/30.34 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB27)) | v124(constB27, bitIndex1))),
% 47.83/30.34 inference(quant_inst,[status(thm)],[])).
% 47.83/30.34 tff(5004,plain,
% 47.83/30.34 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB27)) | v124(constB27, bitIndex1)),
% 47.83/30.34 inference(modus_ponens,[status(thm)],[5003, 5002])).
% 47.83/30.34 tff(5005,plain,
% 47.83/30.34 (v124(constB27, bitIndex1)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[5004, 1512, 4869])).
% 47.83/30.34 tff(5006,plain,
% 47.83/30.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(5007,plain,
% 47.83/30.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1))),
% 47.83/30.34 inference(quant_inst,[status(thm)],[])).
% 47.83/30.34 tff(5008,plain,
% 47.83/30.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1)),
% 47.83/30.34 inference(modus_ponens,[status(thm)],[5007, 5006])).
% 47.83/30.34 tff(5009,plain,
% 47.83/30.34 ((~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[5008, 857, 4903])).
% 47.83/30.34 tff(5010,plain,
% 47.83/30.34 (v121(constB27, bitIndex1)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[5009, 5005])).
% 47.83/30.34 tff(5011,plain,
% 47.83/30.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(5012,plain,
% 47.83/30.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1))),
% 47.83/30.34 inference(quant_inst,[status(thm)],[])).
% 47.83/30.34 tff(5013,plain,
% 47.83/30.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1)),
% 47.83/30.34 inference(modus_ponens,[status(thm)],[5012, 5011])).
% 47.83/30.34 tff(5014,plain,
% 47.83/30.34 ((~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[5013, 872, 4918])).
% 47.83/30.34 tff(5015,plain,
% 47.83/30.34 (v123(constB28, bitIndex1)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[5014, 5010])).
% 47.83/30.34 tff(5016,plain,
% 47.83/30.34 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(5017,plain,
% 47.83/30.34 ((v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1))) <=> (v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))),
% 47.83/30.34 inference(rewrite,[status(thm)],[])).
% 47.83/30.34 tff(5018,plain,
% 47.83/30.34 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28))))),
% 47.83/30.34 inference(monotonicity,[status(thm)],[5017])).
% 47.83/30.34 tff(5019,plain,
% 47.83/30.34 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))),
% 47.83/30.34 inference(transitivity,[status(thm)],[5018, 5016])).
% 47.83/30.34 tff(5020,plain,
% 47.83/30.34 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1)))),
% 47.83/30.34 inference(quant_inst,[status(thm)],[])).
% 47.83/30.34 tff(5021,plain,
% 47.83/30.34 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28))),
% 47.83/30.34 inference(modus_ponens,[status(thm)],[5020, 5019])).
% 47.83/30.34 tff(5022,plain,
% 47.83/30.34 (v84(constB28, bitIndex1) | (~v94(constB28))),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[5021, 887, 5015])).
% 47.83/30.34 tff(5023,plain,
% 47.83/30.34 (v84(constB28, bitIndex1)),
% 47.83/30.34 inference(unit_resolution,[status(thm)],[5022, 4952])).
% 47.83/30.34 tff(5024,plain,
% 47.83/30.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5025,plain,
% 47.83/30.35 (((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1)) <=> ((~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5026,plain,
% 47.83/30.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1)))),
% 47.83/30.35 inference(monotonicity,[status(thm)],[5025])).
% 47.83/30.35 tff(5027,plain,
% 47.83/30.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))),
% 47.83/30.35 inference(transitivity,[status(thm)],[5026, 5024])).
% 47.83/30.35 tff(5028,plain,
% 47.83/30.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1))),
% 47.83/30.35 inference(quant_inst,[status(thm)],[])).
% 47.83/30.35 tff(5029,plain,
% 47.83/30.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1)),
% 47.83/30.35 inference(modus_ponens,[status(thm)],[5028, 5027])).
% 47.83/30.35 tff(5030,plain,
% 47.83/30.35 ((~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1)),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5029, 905, 4980])).
% 47.83/30.35 tff(5031,plain,
% 47.83/30.35 ((~v84(constB28, bitIndex1)) | v84(constB29, bitIndex1)),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5030, 4992])).
% 47.83/30.35 tff(5032,plain,
% 47.83/30.35 (v84(constB29, bitIndex1)),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5031, 5023])).
% 47.83/30.35 tff(5033,plain,
% 47.83/30.35 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB27)) | (~v124(constB27, bitIndex0)))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5034,plain,
% 47.83/30.35 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex0)))),
% 47.83/30.35 inference(quant_inst,[status(thm)],[])).
% 47.83/30.35 tff(5035,plain,
% 47.83/30.35 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB27)) | (~v124(constB27, bitIndex0))),
% 47.83/30.35 inference(modus_ponens,[status(thm)],[5034, 5033])).
% 47.83/30.35 tff(5036,plain,
% 47.83/30.35 (~v124(constB27, bitIndex0)),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5035, 1550, 4869])).
% 47.83/30.35 tff(5037,plain,
% 47.83/30.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5038,plain,
% 47.83/30.35 ((v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0))) <=> ((~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5039,plain,
% 47.83/30.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0)))),
% 47.83/30.35 inference(monotonicity,[status(thm)],[5038])).
% 47.83/30.35 tff(5040,plain,
% 47.83/30.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))),
% 47.83/30.35 inference(transitivity,[status(thm)],[5039, 5037])).
% 47.83/30.35 tff(5041,plain,
% 47.83/30.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0)))),
% 47.83/30.35 inference(quant_inst,[status(thm)],[])).
% 47.83/30.35 tff(5042,plain,
% 47.83/30.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0)),
% 47.83/30.35 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 47.83/30.35 tff(5043,plain,
% 47.83/30.35 ((~v121(constB27, bitIndex0)) | v124(constB27, bitIndex0)),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5042, 607, 4903])).
% 47.83/30.35 tff(5044,plain,
% 47.83/30.35 (~v121(constB27, bitIndex0)),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5043, 5036])).
% 47.83/30.35 tff(5045,plain,
% 47.83/30.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0)))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5046,plain,
% 47.83/30.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0)))),
% 47.83/30.35 inference(quant_inst,[status(thm)],[])).
% 47.83/30.35 tff(5047,plain,
% 47.83/30.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0))),
% 47.83/30.35 inference(modus_ponens,[status(thm)],[5046, 5045])).
% 47.83/30.35 tff(5048,plain,
% 47.83/30.35 (v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0))),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5047, 637, 4918])).
% 47.83/30.35 tff(5049,plain,
% 47.83/30.35 (~v123(constB28, bitIndex0)),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5048, 5044])).
% 47.83/30.35 tff(5050,plain,
% 47.83/30.35 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5051,plain,
% 47.83/30.35 (((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0)) <=> ((~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5052,plain,
% 47.83/30.35 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28))))),
% 47.83/30.35 inference(monotonicity,[status(thm)],[5051])).
% 47.83/30.35 tff(5053,plain,
% 47.83/30.35 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))),
% 47.83/30.35 inference(transitivity,[status(thm)],[5052, 5050])).
% 47.83/30.35 tff(5054,plain,
% 47.83/30.35 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0))),
% 47.83/30.35 inference(quant_inst,[status(thm)],[])).
% 47.83/30.35 tff(5055,plain,
% 47.83/30.35 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28))),
% 47.83/30.35 inference(modus_ponens,[status(thm)],[5054, 5053])).
% 47.83/30.35 tff(5056,plain,
% 47.83/30.35 ((~v84(constB28, bitIndex0)) | (~v94(constB28))),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5055, 652, 5049])).
% 47.83/30.35 tff(5057,plain,
% 47.83/30.35 (~v84(constB28, bitIndex0)),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5056, 4952])).
% 47.83/30.35 tff(5058,plain,
% 47.83/30.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5059,plain,
% 47.83/30.35 (((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0))) <=> (v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5060,plain,
% 47.83/30.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0))))),
% 47.83/30.35 inference(monotonicity,[status(thm)],[5059])).
% 47.83/30.35 tff(5061,plain,
% 47.83/30.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 47.83/30.35 inference(transitivity,[status(thm)],[5060, 5058])).
% 47.83/30.35 tff(5062,plain,
% 47.83/30.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 47.83/30.35 inference(quant_inst,[status(thm)],[])).
% 47.83/30.35 tff(5063,plain,
% 47.83/30.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0))),
% 47.83/30.35 inference(modus_ponens,[status(thm)],[5062, 5061])).
% 47.83/30.35 tff(5064,plain,
% 47.83/30.35 (v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0))),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5063, 184, 4980])).
% 47.83/30.35 tff(5065,plain,
% 47.83/30.35 (v84(constB28, bitIndex0) | (~v84(constB29, bitIndex0))),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5064, 4992])).
% 47.83/30.35 tff(5066,plain,
% 47.83/30.35 (~v84(constB29, bitIndex0)),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5065, 5057])).
% 47.83/30.35 tff(5067,plain,
% 47.83/30.35 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5068,plain,
% 47.83/30.35 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29))),
% 47.83/30.35 inference(quant_inst,[status(thm)],[])).
% 47.83/30.35 tff(5069,plain,
% 47.83/30.35 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29)),
% 47.83/30.35 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 47.83/30.35 tff(5070,plain,
% 47.83/30.35 (v115(constB29)),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5069, 1594, 5066, 5032, 5001])).
% 47.83/30.35 tff(5071,plain,
% 47.83/30.35 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB29) | (~v115(constB29)))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5072,plain,
% 47.83/30.35 (((~v115(constB29)) | v111(constB29)) <=> (v111(constB29) | (~v115(constB29)))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5073,plain,
% 47.83/30.35 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB29)) | v111(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB29) | (~v115(constB29))))),
% 47.83/30.35 inference(monotonicity,[status(thm)],[5072])).
% 47.83/30.35 tff(5074,plain,
% 47.83/30.35 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB29)) | v111(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB29) | (~v115(constB29)))),
% 47.83/30.35 inference(transitivity,[status(thm)],[5073, 5071])).
% 47.83/30.35 tff(5075,plain,
% 47.83/30.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB29)) | v111(constB29))),
% 47.83/30.35 inference(quant_inst,[status(thm)],[])).
% 47.83/30.35 tff(5076,plain,
% 47.83/30.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB29) | (~v115(constB29))),
% 47.83/30.35 inference(modus_ponens,[status(thm)],[5075, 5074])).
% 47.83/30.35 tff(5077,plain,
% 47.83/30.35 (v111(constB29)),
% 47.83/30.35 inference(unit_resolution,[status(thm)],[5076, 1605, 5070])).
% 47.83/30.35 tff(5078,plain,
% 47.83/30.35 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB29) | (~v111(constB29)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB29) | (~v111(constB29)))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5079,plain,
% 47.83/30.35 (((~v111(constB29)) | v110(constB29)) <=> (v110(constB29) | (~v111(constB29)))),
% 47.83/30.35 inference(rewrite,[status(thm)],[])).
% 47.83/30.35 tff(5080,plain,
% 47.83/30.35 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB29)) | v110(constB29))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB29) | (~v111(constB29))))),
% 47.83/30.35 inference(monotonicity,[status(thm)],[5079])).
% 47.83/30.36 tff(5081,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB29)) | v110(constB29))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB29) | (~v111(constB29)))),
% 47.83/30.36 inference(transitivity,[status(thm)],[5080, 5078])).
% 47.83/30.36 tff(5082,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB29)) | v110(constB29))),
% 47.83/30.36 inference(quant_inst,[status(thm)],[])).
% 47.83/30.36 tff(5083,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB29) | (~v111(constB29))),
% 47.83/30.36 inference(modus_ponens,[status(thm)],[5082, 5081])).
% 47.83/30.36 tff(5084,plain,
% 47.83/30.36 (v110(constB29)),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5083, 292, 5077])).
% 47.83/30.36 tff(5085,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB29) | (~v110(constB29)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB29) | (~v110(constB29)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5086,plain,
% 47.83/30.36 (((~v110(constB29)) | v109(constB29)) <=> (v109(constB29) | (~v110(constB29)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5087,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB29)) | v109(constB29))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB29) | (~v110(constB29))))),
% 47.83/30.36 inference(monotonicity,[status(thm)],[5086])).
% 47.83/30.36 tff(5088,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB29)) | v109(constB29))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB29) | (~v110(constB29)))),
% 47.83/30.36 inference(transitivity,[status(thm)],[5087, 5085])).
% 47.83/30.36 tff(5089,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB29)) | v109(constB29))),
% 47.83/30.36 inference(quant_inst,[status(thm)],[])).
% 47.83/30.36 tff(5090,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB29) | (~v110(constB29))),
% 47.83/30.36 inference(modus_ponens,[status(thm)],[5089, 5088])).
% 47.83/30.36 tff(5091,plain,
% 47.83/30.36 (v109(constB29)),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5090, 306, 5084])).
% 47.83/30.36 tff(5092,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB29)) | v108(constB29))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5093,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB29)) | v108(constB29))),
% 47.83/30.36 inference(quant_inst,[status(thm)],[])).
% 47.83/30.36 tff(5094,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB29)) | v108(constB29)),
% 47.83/30.36 inference(modus_ponens,[status(thm)],[5093, 5092])).
% 47.83/30.36 tff(5095,plain,
% 47.83/30.36 (v108(constB29)),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5094, 320, 5091])).
% 47.83/30.36 tff(5096,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB29) | (~v108(constB29)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB29) | (~v108(constB29)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5097,plain,
% 47.83/30.36 (((~v108(constB29)) | v107(constB29)) <=> (v107(constB29) | (~v108(constB29)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5098,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB29)) | v107(constB29))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB29) | (~v108(constB29))))),
% 47.83/30.36 inference(monotonicity,[status(thm)],[5097])).
% 47.83/30.36 tff(5099,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB29)) | v107(constB29))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB29) | (~v108(constB29)))),
% 47.83/30.36 inference(transitivity,[status(thm)],[5098, 5096])).
% 47.83/30.36 tff(5100,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB29)) | v107(constB29))),
% 47.83/30.36 inference(quant_inst,[status(thm)],[])).
% 47.83/30.36 tff(5101,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB29) | (~v108(constB29))),
% 47.83/30.36 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 47.83/30.36 tff(5102,plain,
% 47.83/30.36 (v107(constB29)),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5101, 334, 5095])).
% 47.83/30.36 tff(5103,assumption,(v26(constB29)), introduced(assumption)).
% 47.83/30.36 tff(5104,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 47.83/30.36 inference(quant_inst,[status(thm)],[])).
% 47.83/30.36 tff(5105,plain,
% 47.83/30.36 ($false),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5104, 55, 5103])).
% 47.83/30.36 tff(5106,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 47.83/30.36 tff(5107,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | v106(constB29) | (~v107(constB29)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB29) | v106(constB29) | (~v107(constB29)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5108,plain,
% 47.83/30.36 ((v26(constB29) | (~v107(constB29)) | v106(constB29)) <=> (v26(constB29) | v106(constB29) | (~v107(constB29)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5109,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | (~v107(constB29)) | v106(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | v106(constB29) | (~v107(constB29))))),
% 47.83/30.36 inference(monotonicity,[status(thm)],[5108])).
% 47.83/30.36 tff(5110,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | (~v107(constB29)) | v106(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB29) | v106(constB29) | (~v107(constB29)))),
% 47.83/30.36 inference(transitivity,[status(thm)],[5109, 5107])).
% 47.83/30.36 tff(5111,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | (~v107(constB29)) | v106(constB29))),
% 47.83/30.36 inference(quant_inst,[status(thm)],[])).
% 47.83/30.36 tff(5112,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB29) | v106(constB29) | (~v107(constB29))),
% 47.83/30.36 inference(modus_ponens,[status(thm)],[5111, 5110])).
% 47.83/30.36 tff(5113,plain,
% 47.83/30.36 (v106(constB29) | (~v107(constB29))),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5112, 348, 5106])).
% 47.83/30.36 tff(5114,plain,
% 47.83/30.36 (v106(constB29)),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5113, 5102])).
% 47.83/30.36 tff(5115,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB29) | (~v106(constB29)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB29) | (~v106(constB29)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5116,plain,
% 47.83/30.36 (((~v106(constB29)) | v102(constB29)) <=> (v102(constB29) | (~v106(constB29)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5117,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB29)) | v102(constB29))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB29) | (~v106(constB29))))),
% 47.83/30.36 inference(monotonicity,[status(thm)],[5116])).
% 47.83/30.36 tff(5118,plain,
% 47.83/30.36 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB29)) | v102(constB29))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB29) | (~v106(constB29)))),
% 47.83/30.36 inference(transitivity,[status(thm)],[5117, 5115])).
% 47.83/30.36 tff(5119,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB29)) | v102(constB29))),
% 47.83/30.36 inference(quant_inst,[status(thm)],[])).
% 47.83/30.36 tff(5120,plain,
% 47.83/30.36 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB29) | (~v106(constB29))),
% 47.83/30.36 inference(modus_ponens,[status(thm)],[5119, 5118])).
% 47.83/30.36 tff(5121,plain,
% 47.83/30.36 (v102(constB29)),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5120, 504, 5114])).
% 47.83/30.36 tff(5122,plain,
% 47.83/30.36 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5123,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 47.83/30.36 tff(5124,plain,
% 47.83/30.36 (nextState(constB29, constB30)),
% 47.83/30.36 inference(modus_ponens,[status(thm)],[5123, 5122])).
% 47.83/30.36 tff(5125,plain,
% 47.83/30.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5126,plain,
% 47.83/30.36 (((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30)) <=> ((~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5127,plain,
% 47.83/30.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29))))),
% 47.83/30.36 inference(monotonicity,[status(thm)],[5126])).
% 47.83/30.36 tff(5128,plain,
% 47.83/30.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))),
% 47.83/30.36 inference(transitivity,[status(thm)],[5127, 5125])).
% 47.83/30.36 tff(5129,plain,
% 47.83/30.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30))),
% 47.83/30.36 inference(quant_inst,[status(thm)],[])).
% 47.83/30.36 tff(5130,plain,
% 47.83/30.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29))),
% 47.83/30.36 inference(modus_ponens,[status(thm)],[5129, 5128])).
% 47.83/30.36 tff(5131,plain,
% 47.83/30.36 (v104(constB30) | (~v102(constB29))),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5130, 489, 5124])).
% 47.83/30.36 tff(5132,plain,
% 47.83/30.36 (v104(constB30)),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5131, 5121])).
% 47.83/30.36 tff(5133,plain,
% 47.83/30.36 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5134,plain,
% 47.83/30.36 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30)))),
% 47.83/30.36 inference(quant_inst,[status(thm)],[])).
% 47.83/30.36 tff(5135,plain,
% 47.83/30.36 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30))),
% 47.83/30.36 inference(modus_ponens,[status(thm)],[5134, 5133])).
% 47.83/30.36 tff(5136,plain,
% 47.83/30.36 (~v98(constB30)),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5135, 423, 5124, 4977])).
% 47.83/30.36 tff(5137,plain,
% 47.83/30.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB29, constB30)) | v96(constB30) | v98(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB29, constB30)) | v96(constB30) | v98(constB30))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5138,plain,
% 47.83/30.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB29, constB30)) | v96(constB30) | v98(constB30))),
% 47.83/30.36 inference(quant_inst,[status(thm)],[])).
% 47.83/30.36 tff(5139,plain,
% 47.83/30.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB29, constB30)) | v96(constB30) | v98(constB30)),
% 47.83/30.36 inference(modus_ponens,[status(thm)],[5138, 5137])).
% 47.83/30.36 tff(5140,plain,
% 47.83/30.36 (v96(constB30) | v98(constB30)),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5139, 437, 5124])).
% 47.83/30.36 tff(5141,plain,
% 47.83/30.36 (v96(constB30)),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5140, 5136])).
% 47.83/30.36 tff(5142,plain,
% 47.83/30.36 (v1(constB30) <=> v1(constB30)),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5143,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 47.83/30.36 tff(5144,plain,
% 47.83/30.36 (v1(constB30)),
% 47.83/30.36 inference(modus_ponens,[status(thm)],[5143, 5142])).
% 47.83/30.36 tff(5145,plain,
% 47.83/30.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5146,plain,
% 47.83/30.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30)))),
% 47.83/30.36 inference(quant_inst,[status(thm)],[])).
% 47.83/30.36 tff(5147,plain,
% 47.83/30.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30))),
% 47.83/30.36 inference(modus_ponens,[status(thm)],[5146, 5145])).
% 47.83/30.36 tff(5148,plain,
% 47.83/30.36 (v95(constB30) | (~v96(constB30))),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5147, 455, 5124, 5144])).
% 47.83/30.36 tff(5149,plain,
% 47.83/30.36 (v95(constB30)),
% 47.83/30.36 inference(unit_resolution,[status(thm)],[5148, 5141])).
% 47.83/30.36 tff(5150,plain,
% 47.83/30.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5151,plain,
% 47.83/30.36 (((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30)) <=> ((~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))),
% 47.83/30.36 inference(rewrite,[status(thm)],[])).
% 47.83/30.36 tff(5152,plain,
% 47.83/30.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30))))),
% 47.83/30.36 inference(monotonicity,[status(thm)],[5151])).
% 47.83/30.36 tff(5153,plain,
% 47.83/30.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))),
% 47.83/30.36 inference(transitivity,[status(thm)],[5152, 5150])).
% 47.83/30.37 tff(5154,plain,
% 47.83/30.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30))),
% 47.83/30.37 inference(quant_inst,[status(thm)],[])).
% 47.83/30.37 tff(5155,plain,
% 47.83/30.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30))),
% 47.83/30.37 inference(modus_ponens,[status(thm)],[5154, 5153])).
% 47.83/30.37 tff(5156,plain,
% 47.83/30.37 (v94(constB30) | (~v95(constB30)) | (~v104(constB30))),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5155, 470, 5124])).
% 47.83/30.37 tff(5157,plain,
% 47.83/30.37 (v94(constB30) | (~v104(constB30))),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5156, 5149])).
% 47.83/30.37 tff(5158,plain,
% 47.83/30.37 (v94(constB30)),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5157, 5132])).
% 47.83/30.37 tff(5159,plain,
% 47.83/30.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB29)) | (~v124(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB29)) | (~v124(constB29, bitIndex2)))),
% 47.83/30.37 inference(rewrite,[status(thm)],[])).
% 47.83/30.37 tff(5160,plain,
% 47.83/30.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB29)) | (~v124(constB29, bitIndex2)))),
% 47.83/30.37 inference(quant_inst,[status(thm)],[])).
% 47.83/30.37 tff(5161,plain,
% 47.83/30.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB29)) | (~v124(constB29, bitIndex2))),
% 47.83/30.37 inference(modus_ponens,[status(thm)],[5160, 5159])).
% 47.83/30.37 tff(5162,plain,
% 47.83/30.37 (~v124(constB29, bitIndex2)),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5161, 1690, 5070])).
% 47.83/30.37 tff(5163,plain,
% 47.83/30.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))),
% 47.83/30.37 inference(rewrite,[status(thm)],[])).
% 47.83/30.37 tff(5164,plain,
% 47.83/30.37 ((v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2))) <=> ((~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))),
% 47.83/30.37 inference(rewrite,[status(thm)],[])).
% 47.83/30.37 tff(5165,plain,
% 47.83/30.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2)))),
% 47.83/30.37 inference(monotonicity,[status(thm)],[5164])).
% 47.83/30.37 tff(5166,plain,
% 47.83/30.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))),
% 47.83/30.37 inference(transitivity,[status(thm)],[5165, 5163])).
% 47.83/30.37 tff(5167,plain,
% 47.83/30.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2)))),
% 47.83/30.37 inference(quant_inst,[status(thm)],[])).
% 47.83/30.37 tff(5168,plain,
% 47.83/30.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2)),
% 47.83/30.37 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 47.83/30.37 tff(5169,plain,
% 47.83/30.37 ((~v121(constB29, bitIndex2)) | v124(constB29, bitIndex2)),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5168, 1187, 5106])).
% 47.83/30.37 tff(5170,plain,
% 47.83/30.37 (~v121(constB29, bitIndex2)),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5169, 5162])).
% 47.83/30.37 tff(5171,plain,
% 47.83/30.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2)))),
% 47.83/30.37 inference(rewrite,[status(thm)],[])).
% 47.83/30.37 tff(5172,plain,
% 47.83/30.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2)))),
% 47.83/30.37 inference(quant_inst,[status(thm)],[])).
% 47.83/30.37 tff(5173,plain,
% 47.83/30.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2))),
% 47.83/30.37 inference(modus_ponens,[status(thm)],[5172, 5171])).
% 47.83/30.37 tff(5174,plain,
% 47.83/30.37 (v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2))),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5173, 1205, 5124])).
% 47.83/30.37 tff(5175,plain,
% 47.83/30.37 (~v123(constB30, bitIndex2)),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5174, 5170])).
% 47.83/30.37 tff(5176,plain,
% 47.83/30.37 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))),
% 47.83/30.37 inference(rewrite,[status(thm)],[])).
% 47.83/30.37 tff(5177,plain,
% 47.83/30.37 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))),
% 47.83/30.37 inference(quant_inst,[status(thm)],[])).
% 47.83/30.37 tff(5178,plain,
% 47.83/30.37 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30))),
% 47.83/30.37 inference(modus_ponens,[status(thm)],[5177, 5176])).
% 47.83/30.37 tff(5179,plain,
% 47.83/30.37 ((~v84(constB30, bitIndex2)) | (~v94(constB30))),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5178, 1220, 5175])).
% 47.83/30.37 tff(5180,plain,
% 47.83/30.37 (~v84(constB30, bitIndex2)),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5179, 5158])).
% 47.83/30.37 tff(5181,plain,
% 47.83/30.37 ((~v1(constB31)) <=> (~v1(constB31))),
% 47.83/30.37 inference(rewrite,[status(thm)],[])).
% 47.83/30.37 tff(5182,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 47.83/30.37 tff(5183,plain,
% 47.83/30.37 (~v1(constB31)),
% 47.83/30.37 inference(modus_ponens,[status(thm)],[5182, 5181])).
% 47.83/30.37 tff(5184,plain,
% 47.83/30.37 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 47.83/30.37 inference(rewrite,[status(thm)],[])).
% 47.83/30.37 tff(5185,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 47.83/30.37 tff(5186,plain,
% 47.83/30.37 (nextState(constB30, constB31)),
% 47.83/30.37 inference(modus_ponens,[status(thm)],[5185, 5184])).
% 47.83/30.37 tff(5187,plain,
% 47.83/30.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))),
% 47.83/30.37 inference(rewrite,[status(thm)],[])).
% 47.83/30.37 tff(5188,plain,
% 47.83/30.37 (((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))),
% 47.83/30.37 inference(rewrite,[status(thm)],[])).
% 47.83/30.37 tff(5189,plain,
% 47.83/30.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31))))),
% 47.83/30.37 inference(monotonicity,[status(thm)],[5188])).
% 47.83/30.37 tff(5190,plain,
% 47.83/30.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))),
% 47.83/30.37 inference(transitivity,[status(thm)],[5189, 5187])).
% 47.83/30.37 tff(5191,plain,
% 47.83/30.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31))),
% 47.83/30.37 inference(quant_inst,[status(thm)],[])).
% 47.83/30.37 tff(5192,plain,
% 47.83/30.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31))),
% 47.83/30.37 inference(modus_ponens,[status(thm)],[5191, 5190])).
% 47.83/30.37 tff(5193,plain,
% 47.83/30.37 (~v95(constB31)),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5192, 110, 5186, 5183])).
% 47.83/30.37 tff(5194,plain,
% 47.83/30.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31)))),
% 47.83/30.37 inference(rewrite,[status(thm)],[])).
% 47.83/30.37 tff(5195,plain,
% 47.83/30.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31)))),
% 47.83/30.37 inference(quant_inst,[status(thm)],[])).
% 47.83/30.37 tff(5196,plain,
% 47.83/30.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31))),
% 47.83/30.37 inference(modus_ponens,[status(thm)],[5195, 5194])).
% 47.83/30.37 tff(5197,plain,
% 47.83/30.37 (v95(constB31) | (~v94(constB31))),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5196, 127, 5186])).
% 47.83/30.37 tff(5198,plain,
% 47.83/30.37 (~v94(constB31)),
% 47.83/30.37 inference(unit_resolution,[status(thm)],[5197, 5193])).
% 47.83/30.37 tff(5199,plain,
% 47.83/30.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 47.83/30.37 inference(rewrite,[status(thm)],[])).
% 47.83/30.37 tff(5200,plain,
% 47.83/30.37 (((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2))) <=> (v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 47.83/30.37 inference(rewrite,[status(thm)],[])).
% 47.83/30.37 tff(5201,plain,
% 47.83/30.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2))))),
% 47.83/30.37 inference(monotonicity,[status(thm)],[5200])).
% 47.83/30.37 tff(5202,plain,
% 47.83/30.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 47.93/30.37 inference(transitivity,[status(thm)],[5201, 5199])).
% 47.93/30.37 tff(5203,plain,
% 47.93/30.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 47.93/30.37 inference(quant_inst,[status(thm)],[])).
% 47.93/30.37 tff(5204,plain,
% 47.93/30.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2))),
% 47.93/30.37 inference(modus_ponens,[status(thm)],[5203, 5202])).
% 47.93/30.37 tff(5205,plain,
% 47.93/30.37 (v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2))),
% 47.93/30.37 inference(unit_resolution,[status(thm)],[5204, 142, 5186])).
% 47.93/30.37 tff(5206,plain,
% 47.93/30.37 (v84(constB30, bitIndex2) | (~v84(constB31, bitIndex2))),
% 47.93/30.37 inference(unit_resolution,[status(thm)],[5205, 5198])).
% 47.93/30.37 tff(5207,plain,
% 47.93/30.37 (~v84(constB31, bitIndex2)),
% 47.93/30.37 inference(unit_resolution,[status(thm)],[5206, 5180])).
% 47.93/30.37 tff(5208,plain,
% 47.93/30.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB29)) | v124(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB29)) | v124(constB29, bitIndex1))),
% 47.93/30.37 inference(rewrite,[status(thm)],[])).
% 47.93/30.37 tff(5209,plain,
% 47.93/30.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB29)) | v124(constB29, bitIndex1))),
% 47.93/30.37 inference(quant_inst,[status(thm)],[])).
% 47.93/30.37 tff(5210,plain,
% 47.93/30.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB29)) | v124(constB29, bitIndex1)),
% 47.93/30.37 inference(modus_ponens,[status(thm)],[5209, 5208])).
% 47.93/30.37 tff(5211,plain,
% 47.93/30.37 (v124(constB29, bitIndex1)),
% 47.93/30.37 inference(unit_resolution,[status(thm)],[5210, 1746, 5070])).
% 47.93/30.37 tff(5212,plain,
% 47.93/30.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1))),
% 47.93/30.37 inference(rewrite,[status(thm)],[])).
% 47.93/30.37 tff(5213,plain,
% 47.93/30.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1))),
% 47.93/30.37 inference(quant_inst,[status(thm)],[])).
% 47.93/30.37 tff(5214,plain,
% 47.93/30.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1)),
% 47.93/30.37 inference(modus_ponens,[status(thm)],[5213, 5212])).
% 47.93/30.37 tff(5215,plain,
% 47.93/30.37 ((~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1)),
% 47.93/30.37 inference(unit_resolution,[status(thm)],[5214, 857, 5106])).
% 47.93/30.37 tff(5216,plain,
% 47.93/30.37 (v121(constB29, bitIndex1)),
% 47.93/30.37 inference(unit_resolution,[status(thm)],[5215, 5211])).
% 47.93/30.37 tff(5217,plain,
% 47.93/30.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1))),
% 47.93/30.38 inference(rewrite,[status(thm)],[])).
% 47.93/30.38 tff(5218,plain,
% 47.93/30.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1))),
% 47.93/30.38 inference(quant_inst,[status(thm)],[])).
% 47.93/30.38 tff(5219,plain,
% 47.93/30.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1)),
% 47.93/30.38 inference(modus_ponens,[status(thm)],[5218, 5217])).
% 47.93/30.38 tff(5220,plain,
% 47.93/30.38 ((~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1)),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5219, 872, 5124])).
% 47.93/30.38 tff(5221,plain,
% 47.93/30.38 (v123(constB30, bitIndex1)),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5220, 5216])).
% 47.93/30.38 tff(5222,plain,
% 47.93/30.38 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))),
% 47.93/30.38 inference(rewrite,[status(thm)],[])).
% 47.93/30.38 tff(5223,plain,
% 47.93/30.38 ((v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1))) <=> (v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))),
% 47.93/30.38 inference(rewrite,[status(thm)],[])).
% 47.93/30.38 tff(5224,plain,
% 47.93/30.38 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30))))),
% 47.93/30.38 inference(monotonicity,[status(thm)],[5223])).
% 47.93/30.38 tff(5225,plain,
% 47.93/30.38 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))),
% 47.93/30.38 inference(transitivity,[status(thm)],[5224, 5222])).
% 47.93/30.38 tff(5226,plain,
% 47.93/30.38 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1)))),
% 47.93/30.38 inference(quant_inst,[status(thm)],[])).
% 47.93/30.38 tff(5227,plain,
% 47.93/30.38 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30))),
% 47.93/30.38 inference(modus_ponens,[status(thm)],[5226, 5225])).
% 47.93/30.38 tff(5228,plain,
% 47.93/30.38 (v84(constB30, bitIndex1) | (~v94(constB30))),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5227, 887, 5221])).
% 47.93/30.38 tff(5229,plain,
% 47.93/30.38 (v84(constB30, bitIndex1)),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5228, 5158])).
% 47.93/30.38 tff(5230,plain,
% 47.93/30.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))),
% 47.93/30.38 inference(rewrite,[status(thm)],[])).
% 47.93/30.38 tff(5231,plain,
% 47.93/30.38 (((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1)) <=> ((~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))),
% 47.93/30.38 inference(rewrite,[status(thm)],[])).
% 47.93/30.38 tff(5232,plain,
% 47.93/30.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1)))),
% 47.93/30.38 inference(monotonicity,[status(thm)],[5231])).
% 47.93/30.38 tff(5233,plain,
% 47.93/30.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))),
% 47.93/30.38 inference(transitivity,[status(thm)],[5232, 5230])).
% 47.93/30.38 tff(5234,plain,
% 47.93/30.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1))),
% 47.93/30.38 inference(quant_inst,[status(thm)],[])).
% 47.93/30.38 tff(5235,plain,
% 47.93/30.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1)),
% 47.93/30.38 inference(modus_ponens,[status(thm)],[5234, 5233])).
% 47.93/30.38 tff(5236,plain,
% 47.93/30.38 ((~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1)),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5235, 905, 5186])).
% 47.93/30.38 tff(5237,plain,
% 47.93/30.38 ((~v84(constB30, bitIndex1)) | v84(constB31, bitIndex1)),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5236, 5198])).
% 47.93/30.38 tff(5238,plain,
% 47.93/30.38 (v84(constB31, bitIndex1)),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5237, 5229])).
% 47.93/30.38 tff(5239,plain,
% 47.93/30.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB29)) | v124(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB29)) | v124(constB29, bitIndex0))),
% 47.93/30.38 inference(rewrite,[status(thm)],[])).
% 47.93/30.38 tff(5240,plain,
% 47.93/30.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB29)) | v124(constB29, bitIndex0))),
% 47.93/30.38 inference(quant_inst,[status(thm)],[])).
% 47.93/30.38 tff(5241,plain,
% 47.93/30.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB29)) | v124(constB29, bitIndex0)),
% 47.93/30.38 inference(modus_ponens,[status(thm)],[5240, 5239])).
% 47.93/30.38 tff(5242,plain,
% 47.93/30.38 (v124(constB29, bitIndex0)),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5241, 1784, 5070])).
% 47.93/30.38 tff(5243,plain,
% 47.93/30.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0))),
% 47.93/30.38 inference(rewrite,[status(thm)],[])).
% 47.93/30.38 tff(5244,plain,
% 47.93/30.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0))),
% 47.93/30.38 inference(quant_inst,[status(thm)],[])).
% 47.93/30.38 tff(5245,plain,
% 47.93/30.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0)),
% 47.93/30.38 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 47.93/30.38 tff(5246,plain,
% 47.93/30.38 ((~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0)),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5245, 1391, 5106])).
% 47.93/30.38 tff(5247,plain,
% 47.93/30.38 (v121(constB29, bitIndex0)),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5246, 5242])).
% 47.93/30.38 tff(5248,plain,
% 47.93/30.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0))),
% 47.93/30.38 inference(rewrite,[status(thm)],[])).
% 47.93/30.38 tff(5249,plain,
% 47.93/30.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0))),
% 47.93/30.38 inference(quant_inst,[status(thm)],[])).
% 47.93/30.38 tff(5250,plain,
% 47.93/30.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0)),
% 47.93/30.38 inference(modus_ponens,[status(thm)],[5249, 5248])).
% 47.93/30.38 tff(5251,plain,
% 47.93/30.38 ((~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0)),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5250, 1406, 5124])).
% 47.93/30.38 tff(5252,plain,
% 47.93/30.38 (v123(constB30, bitIndex0)),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5251, 5247])).
% 47.93/30.38 tff(5253,plain,
% 47.93/30.38 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))),
% 47.93/30.38 inference(rewrite,[status(thm)],[])).
% 47.93/30.38 tff(5254,plain,
% 47.93/30.38 ((v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0))) <=> (v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))),
% 47.93/30.38 inference(rewrite,[status(thm)],[])).
% 47.93/30.38 tff(5255,plain,
% 47.93/30.38 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30))))),
% 47.93/30.38 inference(monotonicity,[status(thm)],[5254])).
% 47.93/30.38 tff(5256,plain,
% 47.93/30.38 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))),
% 47.93/30.38 inference(transitivity,[status(thm)],[5255, 5253])).
% 47.93/30.38 tff(5257,plain,
% 47.93/30.38 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0)))),
% 47.93/30.38 inference(quant_inst,[status(thm)],[])).
% 47.93/30.38 tff(5258,plain,
% 47.93/30.38 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30))),
% 47.93/30.38 inference(modus_ponens,[status(thm)],[5257, 5256])).
% 47.93/30.38 tff(5259,plain,
% 47.93/30.38 (v84(constB30, bitIndex0) | (~v94(constB30))),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5258, 1421, 5252])).
% 47.93/30.38 tff(5260,plain,
% 47.93/30.38 (v84(constB30, bitIndex0)),
% 47.93/30.38 inference(unit_resolution,[status(thm)],[5259, 5158])).
% 47.93/30.38 tff(5261,plain,
% 47.93/30.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))),
% 47.93/30.39 inference(rewrite,[status(thm)],[])).
% 47.93/30.39 tff(5262,plain,
% 47.93/30.39 (((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0)) <=> ((~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))),
% 47.93/30.39 inference(rewrite,[status(thm)],[])).
% 47.93/30.39 tff(5263,plain,
% 47.93/30.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0)))),
% 47.93/30.39 inference(monotonicity,[status(thm)],[5262])).
% 47.93/30.39 tff(5264,plain,
% 47.93/30.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))),
% 47.93/30.39 inference(transitivity,[status(thm)],[5263, 5261])).
% 47.93/30.39 tff(5265,plain,
% 47.93/30.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0))),
% 47.93/30.39 inference(quant_inst,[status(thm)],[])).
% 47.93/30.39 tff(5266,plain,
% 47.93/30.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0)),
% 47.93/30.39 inference(modus_ponens,[status(thm)],[5265, 5264])).
% 47.93/30.39 tff(5267,plain,
% 47.93/30.39 ((~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0)),
% 47.93/30.39 inference(unit_resolution,[status(thm)],[5266, 1439, 5186])).
% 47.93/30.39 tff(5268,plain,
% 47.93/30.39 ((~v84(constB30, bitIndex0)) | v84(constB31, bitIndex0)),
% 47.93/30.39 inference(unit_resolution,[status(thm)],[5267, 5198])).
% 47.93/30.39 tff(5269,plain,
% 47.93/30.39 (v84(constB31, bitIndex0)),
% 47.93/30.39 inference(unit_resolution,[status(thm)],[5268, 5260])).
% 47.93/30.39 tff(5270,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31))),
% 47.93/30.39 inference(rewrite,[status(thm)],[])).
% 47.93/30.39 tff(5271,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31))),
% 47.93/30.39 inference(quant_inst,[status(thm)],[])).
% 47.93/30.39 tff(5272,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31)),
% 47.93/30.39 inference(modus_ponens,[status(thm)],[5271, 5270])).
% 47.93/30.39 tff(5273,plain,
% 47.93/30.39 (v116(constB31)),
% 47.93/30.39 inference(unit_resolution,[status(thm)],[5272, 1825, 5269, 5238, 5207])).
% 47.93/30.39 tff(5274,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB31)) | v110(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB31)) | v110(constB31))),
% 47.93/30.39 inference(rewrite,[status(thm)],[])).
% 47.93/30.39 tff(5275,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB31)) | v110(constB31))),
% 47.93/30.39 inference(quant_inst,[status(thm)],[])).
% 47.93/30.39 tff(5276,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB31)) | v110(constB31)),
% 47.93/30.39 inference(modus_ponens,[status(thm)],[5275, 5274])).
% 47.93/30.39 tff(5277,plain,
% 47.93/30.39 (v110(constB31)),
% 47.93/30.39 inference(unit_resolution,[status(thm)],[5276, 1836, 5273])).
% 47.93/30.39 tff(5278,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB31)) | v109(constB31))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB31)) | v109(constB31))),
% 47.93/30.39 inference(rewrite,[status(thm)],[])).
% 47.93/30.39 tff(5279,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB31)) | v109(constB31))),
% 47.93/30.39 inference(quant_inst,[status(thm)],[])).
% 47.93/30.39 tff(5280,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB31)) | v109(constB31)),
% 47.93/30.39 inference(modus_ponens,[status(thm)],[5279, 5278])).
% 47.93/30.39 tff(5281,plain,
% 47.93/30.39 (v109(constB31)),
% 47.93/30.39 inference(unit_resolution,[status(thm)],[5280, 306, 5277])).
% 47.93/30.39 tff(5282,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v109(constB31)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v109(constB31)))),
% 47.93/30.39 inference(rewrite,[status(thm)],[])).
% 47.93/30.39 tff(5283,plain,
% 47.93/30.39 (((~v109(constB31)) | v108(constB31)) <=> (v108(constB31) | (~v109(constB31)))),
% 47.93/30.39 inference(rewrite,[status(thm)],[])).
% 47.93/30.39 tff(5284,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v109(constB31))))),
% 47.93/30.39 inference(monotonicity,[status(thm)],[5283])).
% 47.93/30.39 tff(5285,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v109(constB31)))),
% 47.93/30.39 inference(transitivity,[status(thm)],[5284, 5282])).
% 47.93/30.39 tff(5286,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB31)) | v108(constB31))),
% 47.93/30.39 inference(quant_inst,[status(thm)],[])).
% 47.93/30.39 tff(5287,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v109(constB31))),
% 47.93/30.39 inference(modus_ponens,[status(thm)],[5286, 5285])).
% 47.93/30.39 tff(5288,plain,
% 47.93/30.39 (v108(constB31)),
% 47.93/30.39 inference(unit_resolution,[status(thm)],[5287, 320, 5281])).
% 47.93/30.39 tff(5289,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB31) | (~v108(constB31)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB31) | (~v108(constB31)))),
% 47.93/30.39 inference(rewrite,[status(thm)],[])).
% 47.93/30.39 tff(5290,plain,
% 47.93/30.39 (((~v108(constB31)) | v107(constB31)) <=> (v107(constB31) | (~v108(constB31)))),
% 47.93/30.39 inference(rewrite,[status(thm)],[])).
% 47.93/30.39 tff(5291,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB31)) | v107(constB31))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB31) | (~v108(constB31))))),
% 47.93/30.39 inference(monotonicity,[status(thm)],[5290])).
% 47.93/30.39 tff(5292,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB31)) | v107(constB31))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB31) | (~v108(constB31)))),
% 47.93/30.39 inference(transitivity,[status(thm)],[5291, 5289])).
% 47.93/30.39 tff(5293,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB31)) | v107(constB31))),
% 47.93/30.39 inference(quant_inst,[status(thm)],[])).
% 47.93/30.39 tff(5294,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB31) | (~v108(constB31))),
% 47.93/30.39 inference(modus_ponens,[status(thm)],[5293, 5292])).
% 47.93/30.39 tff(5295,plain,
% 47.93/30.39 (v107(constB31)),
% 47.93/30.39 inference(unit_resolution,[status(thm)],[5294, 334, 5288])).
% 47.93/30.39 tff(5296,assumption,(v26(constB31)), introduced(assumption)).
% 47.93/30.39 tff(5297,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 47.93/30.39 inference(quant_inst,[status(thm)],[])).
% 47.93/30.39 tff(5298,plain,
% 47.93/30.39 ($false),
% 47.93/30.39 inference(unit_resolution,[status(thm)],[5297, 55, 5296])).
% 47.93/30.39 tff(5299,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 47.93/30.39 tff(5300,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB31) | (~v107(constB31)) | v106(constB31))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB31) | (~v107(constB31)) | v106(constB31))),
% 47.93/30.39 inference(rewrite,[status(thm)],[])).
% 47.93/30.39 tff(5301,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB31) | (~v107(constB31)) | v106(constB31))),
% 47.93/30.39 inference(quant_inst,[status(thm)],[])).
% 47.93/30.39 tff(5302,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB31) | (~v107(constB31)) | v106(constB31)),
% 47.93/30.39 inference(modus_ponens,[status(thm)],[5301, 5300])).
% 47.93/30.39 tff(5303,plain,
% 47.93/30.39 ((~v107(constB31)) | v106(constB31)),
% 47.93/30.39 inference(unit_resolution,[status(thm)],[5302, 348, 5299])).
% 47.93/30.39 tff(5304,plain,
% 47.93/30.39 (v106(constB31)),
% 47.93/30.39 inference(unit_resolution,[status(thm)],[5303, 5295])).
% 47.93/30.39 tff(5305,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB31) | (~v106(constB31)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB31) | (~v106(constB31)))),
% 47.93/30.39 inference(rewrite,[status(thm)],[])).
% 47.93/30.39 tff(5306,plain,
% 47.93/30.39 (((~v106(constB31)) | v102(constB31)) <=> (v102(constB31) | (~v106(constB31)))),
% 47.93/30.39 inference(rewrite,[status(thm)],[])).
% 47.93/30.39 tff(5307,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB31)) | v102(constB31))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB31) | (~v106(constB31))))),
% 47.93/30.39 inference(monotonicity,[status(thm)],[5306])).
% 47.93/30.39 tff(5308,plain,
% 47.93/30.39 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB31)) | v102(constB31))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB31) | (~v106(constB31)))),
% 47.93/30.39 inference(transitivity,[status(thm)],[5307, 5305])).
% 47.93/30.39 tff(5309,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB31)) | v102(constB31))),
% 47.93/30.39 inference(quant_inst,[status(thm)],[])).
% 47.93/30.39 tff(5310,plain,
% 47.93/30.39 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB31) | (~v106(constB31))),
% 47.94/30.39 inference(modus_ponens,[status(thm)],[5309, 5308])).
% 47.94/30.39 tff(5311,plain,
% 47.94/30.39 (v102(constB31)),
% 47.94/30.39 inference(unit_resolution,[status(thm)],[5310, 504, 5304])).
% 47.94/30.39 tff(5312,plain,
% 47.94/30.39 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 47.94/30.39 inference(rewrite,[status(thm)],[])).
% 47.94/30.39 tff(5313,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 47.94/30.39 tff(5314,plain,
% 47.94/30.39 (nextState(constB31, constB32)),
% 47.94/30.39 inference(modus_ponens,[status(thm)],[5313, 5312])).
% 47.94/30.39 tff(5315,plain,
% 47.94/30.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))),
% 47.94/30.39 inference(rewrite,[status(thm)],[])).
% 47.94/30.39 tff(5316,plain,
% 47.94/30.39 (((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32)) <=> ((~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))),
% 47.94/30.39 inference(rewrite,[status(thm)],[])).
% 47.94/30.39 tff(5317,plain,
% 47.94/30.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31))))),
% 47.94/30.39 inference(monotonicity,[status(thm)],[5316])).
% 47.94/30.39 tff(5318,plain,
% 47.94/30.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))),
% 47.94/30.39 inference(transitivity,[status(thm)],[5317, 5315])).
% 47.94/30.39 tff(5319,plain,
% 47.94/30.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32))),
% 47.94/30.39 inference(quant_inst,[status(thm)],[])).
% 47.94/30.39 tff(5320,plain,
% 47.94/30.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31))),
% 47.94/30.39 inference(modus_ponens,[status(thm)],[5319, 5318])).
% 47.94/30.39 tff(5321,plain,
% 47.94/30.39 (v104(constB32) | (~v102(constB31))),
% 47.94/30.39 inference(unit_resolution,[status(thm)],[5320, 489, 5314])).
% 47.94/30.39 tff(5322,plain,
% 47.94/30.39 (v104(constB32)),
% 47.94/30.39 inference(unit_resolution,[status(thm)],[5321, 5311])).
% 47.94/30.39 tff(5323,plain,
% 47.94/30.39 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32)))),
% 47.94/30.39 inference(rewrite,[status(thm)],[])).
% 47.94/30.39 tff(5324,plain,
% 47.94/30.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32)))),
% 47.94/30.39 inference(quant_inst,[status(thm)],[])).
% 47.94/30.39 tff(5325,plain,
% 47.94/30.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32))),
% 47.94/30.39 inference(modus_ponens,[status(thm)],[5324, 5323])).
% 47.94/30.39 tff(5326,plain,
% 47.94/30.39 (~v98(constB32)),
% 47.94/30.39 inference(unit_resolution,[status(thm)],[5325, 423, 5314, 5183])).
% 47.94/30.39 tff(5327,plain,
% 47.94/30.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB31, constB32)) | v96(constB32) | v98(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB31, constB32)) | v96(constB32) | v98(constB32))),
% 47.94/30.39 inference(rewrite,[status(thm)],[])).
% 47.94/30.39 tff(5328,plain,
% 47.94/30.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB31, constB32)) | v96(constB32) | v98(constB32))),
% 47.94/30.39 inference(quant_inst,[status(thm)],[])).
% 47.94/30.39 tff(5329,plain,
% 47.94/30.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB31, constB32)) | v96(constB32) | v98(constB32)),
% 47.94/30.39 inference(modus_ponens,[status(thm)],[5328, 5327])).
% 47.94/30.39 tff(5330,plain,
% 47.94/30.39 (v96(constB32) | v98(constB32)),
% 47.94/30.39 inference(unit_resolution,[status(thm)],[5329, 437, 5314])).
% 47.94/30.39 tff(5331,plain,
% 47.94/30.39 (v96(constB32)),
% 47.94/30.39 inference(unit_resolution,[status(thm)],[5330, 5326])).
% 47.94/30.39 tff(5332,plain,
% 47.94/30.39 (v1(constB32) <=> v1(constB32)),
% 47.94/30.39 inference(rewrite,[status(thm)],[])).
% 47.94/30.39 tff(5333,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 47.94/30.39 tff(5334,plain,
% 47.94/30.39 (v1(constB32)),
% 47.94/30.39 inference(modus_ponens,[status(thm)],[5333, 5332])).
% 47.94/30.39 tff(5335,plain,
% 47.94/30.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32)))),
% 47.94/30.39 inference(rewrite,[status(thm)],[])).
% 47.94/30.39 tff(5336,plain,
% 47.94/30.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32)))),
% 47.94/30.39 inference(quant_inst,[status(thm)],[])).
% 47.94/30.39 tff(5337,plain,
% 47.94/30.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32))),
% 47.94/30.39 inference(modus_ponens,[status(thm)],[5336, 5335])).
% 47.94/30.39 tff(5338,plain,
% 47.94/30.39 (v95(constB32) | (~v96(constB32))),
% 47.94/30.39 inference(unit_resolution,[status(thm)],[5337, 455, 5314, 5334])).
% 47.94/30.39 tff(5339,plain,
% 47.94/30.39 (v95(constB32)),
% 47.94/30.39 inference(unit_resolution,[status(thm)],[5338, 5331])).
% 47.94/30.39 tff(5340,plain,
% 47.94/30.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))),
% 47.94/30.39 inference(rewrite,[status(thm)],[])).
% 47.94/30.39 tff(5341,plain,
% 47.94/30.39 (((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32)) <=> ((~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))),
% 47.94/30.39 inference(rewrite,[status(thm)],[])).
% 47.94/30.39 tff(5342,plain,
% 47.94/30.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32))))),
% 47.94/30.39 inference(monotonicity,[status(thm)],[5341])).
% 47.94/30.39 tff(5343,plain,
% 47.94/30.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))),
% 47.94/30.39 inference(transitivity,[status(thm)],[5342, 5340])).
% 47.94/30.39 tff(5344,plain,
% 47.94/30.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32))),
% 47.94/30.39 inference(quant_inst,[status(thm)],[])).
% 47.94/30.39 tff(5345,plain,
% 47.94/30.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32))),
% 47.94/30.39 inference(modus_ponens,[status(thm)],[5344, 5343])).
% 47.94/30.39 tff(5346,plain,
% 47.94/30.39 (v94(constB32) | (~v95(constB32)) | (~v104(constB32))),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5345, 470, 5314])).
% 47.94/30.40 tff(5347,plain,
% 47.94/30.40 (v94(constB32) | (~v104(constB32))),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5346, 5339])).
% 47.94/30.40 tff(5348,plain,
% 47.94/30.40 (v94(constB32)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5347, 5322])).
% 47.94/30.40 tff(5349,plain,
% 47.94/30.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB31)) | v124(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB31)) | v124(constB31, bitIndex2))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5350,plain,
% 47.94/30.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB31)) | v124(constB31, bitIndex2))),
% 47.94/30.40 inference(quant_inst,[status(thm)],[])).
% 47.94/30.40 tff(5351,plain,
% 47.94/30.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB31)) | v124(constB31, bitIndex2)),
% 47.94/30.40 inference(modus_ponens,[status(thm)],[5350, 5349])).
% 47.94/30.40 tff(5352,plain,
% 47.94/30.40 (v124(constB31, bitIndex2)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5351, 1923, 5273])).
% 47.94/30.40 tff(5353,plain,
% 47.94/30.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5354,plain,
% 47.94/30.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2))),
% 47.94/30.40 inference(quant_inst,[status(thm)],[])).
% 47.94/30.40 tff(5355,plain,
% 47.94/30.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2)),
% 47.94/30.40 inference(modus_ponens,[status(thm)],[5354, 5353])).
% 47.94/30.40 tff(5356,plain,
% 47.94/30.40 ((~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5355, 374, 5299])).
% 47.94/30.40 tff(5357,plain,
% 47.94/30.40 (v121(constB31, bitIndex2)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5356, 5352])).
% 47.94/30.40 tff(5358,plain,
% 47.94/30.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5359,plain,
% 47.94/30.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2))),
% 47.94/30.40 inference(quant_inst,[status(thm)],[])).
% 47.94/30.40 tff(5360,plain,
% 47.94/30.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2)),
% 47.94/30.40 inference(modus_ponens,[status(thm)],[5359, 5358])).
% 47.94/30.40 tff(5361,plain,
% 47.94/30.40 ((~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5360, 389, 5314])).
% 47.94/30.40 tff(5362,plain,
% 47.94/30.40 (v123(constB32, bitIndex2)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5361, 5357])).
% 47.94/30.40 tff(5363,plain,
% 47.94/30.40 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5364,plain,
% 47.94/30.40 ((v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2))) <=> (v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5365,plain,
% 47.94/30.40 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32))))),
% 47.94/30.40 inference(monotonicity,[status(thm)],[5364])).
% 47.94/30.40 tff(5366,plain,
% 47.94/30.40 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))),
% 47.94/30.40 inference(transitivity,[status(thm)],[5365, 5363])).
% 47.94/30.40 tff(5367,plain,
% 47.94/30.40 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2)))),
% 47.94/30.40 inference(quant_inst,[status(thm)],[])).
% 47.94/30.40 tff(5368,plain,
% 47.94/30.40 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32))),
% 47.94/30.40 inference(modus_ponens,[status(thm)],[5367, 5366])).
% 47.94/30.40 tff(5369,plain,
% 47.94/30.40 (v84(constB32, bitIndex2) | (~v94(constB32))),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5368, 405, 5362])).
% 47.94/30.40 tff(5370,plain,
% 47.94/30.40 (v84(constB32, bitIndex2)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5369, 5348])).
% 47.94/30.40 tff(5371,plain,
% 47.94/30.40 ((~v1(constB33)) <=> (~v1(constB33))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5372,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 47.94/30.40 tff(5373,plain,
% 47.94/30.40 (~v1(constB33)),
% 47.94/30.40 inference(modus_ponens,[status(thm)],[5372, 5371])).
% 47.94/30.40 tff(5374,plain,
% 47.94/30.40 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5375,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 47.94/30.40 tff(5376,plain,
% 47.94/30.40 (nextState(constB32, constB33)),
% 47.94/30.40 inference(modus_ponens,[status(thm)],[5375, 5374])).
% 47.94/30.40 tff(5377,plain,
% 47.94/30.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5378,plain,
% 47.94/30.40 (((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5379,plain,
% 47.94/30.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33))))),
% 47.94/30.40 inference(monotonicity,[status(thm)],[5378])).
% 47.94/30.40 tff(5380,plain,
% 47.94/30.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))),
% 47.94/30.40 inference(transitivity,[status(thm)],[5379, 5377])).
% 47.94/30.40 tff(5381,plain,
% 47.94/30.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33))),
% 47.94/30.40 inference(quant_inst,[status(thm)],[])).
% 47.94/30.40 tff(5382,plain,
% 47.94/30.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33))),
% 47.94/30.40 inference(modus_ponens,[status(thm)],[5381, 5380])).
% 47.94/30.40 tff(5383,plain,
% 47.94/30.40 (~v95(constB33)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5382, 110, 5376, 5373])).
% 47.94/30.40 tff(5384,plain,
% 47.94/30.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33)))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5385,plain,
% 47.94/30.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33)))),
% 47.94/30.40 inference(quant_inst,[status(thm)],[])).
% 47.94/30.40 tff(5386,plain,
% 47.94/30.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33))),
% 47.94/30.40 inference(modus_ponens,[status(thm)],[5385, 5384])).
% 47.94/30.40 tff(5387,plain,
% 47.94/30.40 (v95(constB33) | (~v94(constB33))),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5386, 127, 5376])).
% 47.94/30.40 tff(5388,plain,
% 47.94/30.40 (~v94(constB33)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5387, 5383])).
% 47.94/30.40 tff(5389,plain,
% 47.94/30.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5390,plain,
% 47.94/30.40 (((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2)) <=> ((~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5391,plain,
% 47.94/30.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2)))),
% 47.94/30.40 inference(monotonicity,[status(thm)],[5390])).
% 47.94/30.40 tff(5392,plain,
% 47.94/30.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))),
% 47.94/30.40 inference(transitivity,[status(thm)],[5391, 5389])).
% 47.94/30.40 tff(5393,plain,
% 47.94/30.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2))),
% 47.94/30.40 inference(quant_inst,[status(thm)],[])).
% 47.94/30.40 tff(5394,plain,
% 47.94/30.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2)),
% 47.94/30.40 inference(modus_ponens,[status(thm)],[5393, 5392])).
% 47.94/30.40 tff(5395,plain,
% 47.94/30.40 ((~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5394, 576, 5376])).
% 47.94/30.40 tff(5396,plain,
% 47.94/30.40 ((~v84(constB32, bitIndex2)) | v84(constB33, bitIndex2)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5395, 5388])).
% 47.94/30.40 tff(5397,plain,
% 47.94/30.40 (v84(constB33, bitIndex2)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5396, 5370])).
% 47.94/30.40 tff(5398,plain,
% 47.94/30.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB31)) | (~v124(constB31, bitIndex1)))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5399,plain,
% 47.94/30.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex1)))),
% 47.94/30.40 inference(quant_inst,[status(thm)],[])).
% 47.94/30.40 tff(5400,plain,
% 47.94/30.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB31)) | (~v124(constB31, bitIndex1))),
% 47.94/30.40 inference(modus_ponens,[status(thm)],[5399, 5398])).
% 47.94/30.40 tff(5401,plain,
% 47.94/30.40 (~v124(constB31, bitIndex1)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5400, 1979, 5273])).
% 47.94/30.40 tff(5402,plain,
% 47.94/30.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5403,plain,
% 47.94/30.40 ((v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1))) <=> ((~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))),
% 47.94/30.40 inference(rewrite,[status(thm)],[])).
% 47.94/30.40 tff(5404,plain,
% 47.94/30.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1)))),
% 47.94/30.40 inference(monotonicity,[status(thm)],[5403])).
% 47.94/30.40 tff(5405,plain,
% 47.94/30.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))),
% 47.94/30.40 inference(transitivity,[status(thm)],[5404, 5402])).
% 47.94/30.40 tff(5406,plain,
% 47.94/30.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1)))),
% 47.94/30.40 inference(quant_inst,[status(thm)],[])).
% 47.94/30.40 tff(5407,plain,
% 47.94/30.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1)),
% 47.94/30.40 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 47.94/30.40 tff(5408,plain,
% 47.94/30.40 ((~v121(constB31, bitIndex1)) | v124(constB31, bitIndex1)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5407, 233, 5299])).
% 47.94/30.40 tff(5409,plain,
% 47.94/30.40 (~v121(constB31, bitIndex1)),
% 47.94/30.40 inference(unit_resolution,[status(thm)],[5408, 5401])).
% 47.94/30.40 tff(5410,plain,
% 47.94/30.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1)))),
% 47.94/30.41 inference(rewrite,[status(thm)],[])).
% 47.94/30.41 tff(5411,plain,
% 47.94/30.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1)))),
% 47.94/30.41 inference(quant_inst,[status(thm)],[])).
% 47.94/30.41 tff(5412,plain,
% 47.94/30.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1))),
% 47.94/30.41 inference(modus_ponens,[status(thm)],[5411, 5410])).
% 47.94/30.41 tff(5413,plain,
% 47.94/30.41 (v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1))),
% 47.94/30.41 inference(unit_resolution,[status(thm)],[5412, 254, 5314])).
% 47.94/30.41 tff(5414,plain,
% 47.94/30.41 (~v123(constB32, bitIndex1)),
% 47.94/30.41 inference(unit_resolution,[status(thm)],[5413, 5409])).
% 47.94/30.41 tff(5415,plain,
% 47.94/30.41 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))),
% 47.94/30.41 inference(rewrite,[status(thm)],[])).
% 47.94/30.41 tff(5416,plain,
% 47.94/30.41 (((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1)) <=> ((~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))),
% 47.94/30.41 inference(rewrite,[status(thm)],[])).
% 47.94/30.41 tff(5417,plain,
% 47.94/30.41 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32))))),
% 47.94/30.41 inference(monotonicity,[status(thm)],[5416])).
% 47.94/30.41 tff(5418,plain,
% 47.94/30.41 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))),
% 47.94/30.41 inference(transitivity,[status(thm)],[5417, 5415])).
% 47.94/30.41 tff(5419,plain,
% 47.94/30.41 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1))),
% 47.94/30.41 inference(quant_inst,[status(thm)],[])).
% 47.94/30.41 tff(5420,plain,
% 47.94/30.41 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32))),
% 47.94/30.41 inference(modus_ponens,[status(thm)],[5419, 5418])).
% 47.94/30.41 tff(5421,plain,
% 47.94/30.41 ((~v84(constB32, bitIndex1)) | (~v94(constB32))),
% 47.94/30.41 inference(unit_resolution,[status(thm)],[5420, 532, 5414])).
% 47.94/30.41 tff(5422,plain,
% 47.94/30.41 (~v84(constB32, bitIndex1)),
% 47.94/30.41 inference(unit_resolution,[status(thm)],[5421, 5348])).
% 47.94/30.41 tff(5423,plain,
% 47.94/30.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 47.94/30.41 inference(rewrite,[status(thm)],[])).
% 47.94/30.41 tff(5424,plain,
% 47.94/30.41 (((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1))) <=> (v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 47.94/30.41 inference(rewrite,[status(thm)],[])).
% 47.94/30.41 tff(5425,plain,
% 47.94/30.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1))))),
% 47.94/30.41 inference(monotonicity,[status(thm)],[5424])).
% 47.94/30.41 tff(5426,plain,
% 47.94/30.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 47.94/30.41 inference(transitivity,[status(thm)],[5425, 5423])).
% 47.94/30.41 tff(5427,plain,
% 47.94/30.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 47.94/30.41 inference(quant_inst,[status(thm)],[])).
% 47.94/30.41 tff(5428,plain,
% 47.94/30.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1))),
% 47.94/30.41 inference(modus_ponens,[status(thm)],[5427, 5426])).
% 47.94/30.41 tff(5429,plain,
% 47.94/30.41 (v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1))),
% 47.94/30.41 inference(unit_resolution,[status(thm)],[5428, 163, 5376])).
% 47.94/30.41 tff(5430,plain,
% 47.94/30.41 (v84(constB32, bitIndex1) | (~v84(constB33, bitIndex1))),
% 47.94/30.41 inference(unit_resolution,[status(thm)],[5429, 5388])).
% 47.94/30.41 tff(5431,plain,
% 47.94/30.41 (~v84(constB33, bitIndex1)),
% 47.94/30.41 inference(unit_resolution,[status(thm)],[5430, 5422])).
% 47.94/30.41 tff(5432,plain,
% 47.94/30.41 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB31)) | (~v124(constB31, bitIndex0)))),
% 47.94/30.41 inference(rewrite,[status(thm)],[])).
% 47.94/30.41 tff(5433,plain,
% 47.94/30.41 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex0)))),
% 47.94/30.41 inference(quant_inst,[status(thm)],[])).
% 47.94/30.41 tff(5434,plain,
% 47.94/30.41 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB31)) | (~v124(constB31, bitIndex0))),
% 47.94/30.41 inference(modus_ponens,[status(thm)],[5433, 5432])).
% 47.94/30.41 tff(5435,plain,
% 47.94/30.41 (~v124(constB31, bitIndex0)),
% 47.94/30.41 inference(unit_resolution,[status(thm)],[5434, 2020, 5273])).
% 47.94/30.41 tff(5436,plain,
% 47.94/30.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))),
% 47.94/30.41 inference(rewrite,[status(thm)],[])).
% 47.94/30.41 tff(5437,plain,
% 47.94/30.41 ((v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0))) <=> ((~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))),
% 47.94/30.41 inference(rewrite,[status(thm)],[])).
% 47.94/30.41 tff(5438,plain,
% 47.94/30.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0)))),
% 47.94/30.41 inference(monotonicity,[status(thm)],[5437])).
% 47.94/30.41 tff(5439,plain,
% 47.94/30.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))),
% 47.94/30.41 inference(transitivity,[status(thm)],[5438, 5436])).
% 47.94/30.41 tff(5440,plain,
% 47.94/30.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0)))),
% 47.94/30.41 inference(quant_inst,[status(thm)],[])).
% 47.94/30.41 tff(5441,plain,
% 47.94/30.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0)),
% 47.94/30.41 inference(modus_ponens,[status(thm)],[5440, 5439])).
% 47.94/30.41 tff(5442,plain,
% 47.94/30.41 ((~v121(constB31, bitIndex0)) | v124(constB31, bitIndex0)),
% 47.94/30.41 inference(unit_resolution,[status(thm)],[5441, 607, 5299])).
% 47.94/30.41 tff(5443,plain,
% 47.94/30.41 (~v121(constB31, bitIndex0)),
% 47.94/30.41 inference(unit_resolution,[status(thm)],[5442, 5435])).
% 47.94/30.41 tff(5444,plain,
% 47.94/30.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0)))),
% 47.94/30.41 inference(rewrite,[status(thm)],[])).
% 47.94/30.41 tff(5445,plain,
% 47.94/30.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0)))),
% 47.94/30.41 inference(quant_inst,[status(thm)],[])).
% 47.94/30.41 tff(5446,plain,
% 47.94/30.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0))),
% 47.94/30.41 inference(modus_ponens,[status(thm)],[5445, 5444])).
% 47.94/30.41 tff(5447,plain,
% 47.94/30.41 (v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0))),
% 47.94/30.41 inference(unit_resolution,[status(thm)],[5446, 637, 5314])).
% 47.94/30.41 tff(5448,plain,
% 47.94/30.41 (~v123(constB32, bitIndex0)),
% 47.94/30.41 inference(unit_resolution,[status(thm)],[5447, 5443])).
% 47.94/30.41 tff(5449,plain,
% 47.94/30.41 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))),
% 47.94/30.41 inference(rewrite,[status(thm)],[])).
% 47.94/30.41 tff(5450,plain,
% 47.94/30.41 (((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0)) <=> ((~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))),
% 47.94/30.41 inference(rewrite,[status(thm)],[])).
% 47.94/30.41 tff(5451,plain,
% 47.94/30.41 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32))))),
% 47.97/30.42 inference(monotonicity,[status(thm)],[5450])).
% 47.97/30.42 tff(5452,plain,
% 47.97/30.42 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))),
% 47.97/30.42 inference(transitivity,[status(thm)],[5451, 5449])).
% 47.97/30.42 tff(5453,plain,
% 47.97/30.42 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0))),
% 47.97/30.42 inference(quant_inst,[status(thm)],[])).
% 47.97/30.42 tff(5454,plain,
% 47.97/30.42 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32))),
% 47.97/30.42 inference(modus_ponens,[status(thm)],[5453, 5452])).
% 47.97/30.42 tff(5455,plain,
% 47.97/30.42 ((~v84(constB32, bitIndex0)) | (~v94(constB32))),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5454, 652, 5448])).
% 47.97/30.42 tff(5456,plain,
% 47.97/30.42 (~v84(constB32, bitIndex0)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5455, 5348])).
% 47.97/30.42 tff(5457,plain,
% 47.97/30.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5458,plain,
% 47.97/30.42 (((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0))) <=> (v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5459,plain,
% 47.97/30.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0))))),
% 47.97/30.42 inference(monotonicity,[status(thm)],[5458])).
% 47.97/30.42 tff(5460,plain,
% 47.97/30.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 47.97/30.42 inference(transitivity,[status(thm)],[5459, 5457])).
% 47.97/30.42 tff(5461,plain,
% 47.97/30.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 47.97/30.42 inference(quant_inst,[status(thm)],[])).
% 47.97/30.42 tff(5462,plain,
% 47.97/30.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0))),
% 47.97/30.42 inference(modus_ponens,[status(thm)],[5461, 5460])).
% 47.97/30.42 tff(5463,plain,
% 47.97/30.42 (v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0))),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5462, 184, 5376])).
% 47.97/30.42 tff(5464,plain,
% 47.97/30.42 (v84(constB32, bitIndex0) | (~v84(constB33, bitIndex0))),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5463, 5388])).
% 47.97/30.42 tff(5465,plain,
% 47.97/30.42 (~v84(constB33, bitIndex0)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5464, 5456])).
% 47.97/30.42 tff(5466,plain,
% 47.97/30.42 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5467,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33))),
% 47.97/30.42 inference(quant_inst,[status(thm)],[])).
% 47.97/30.42 tff(5468,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33)),
% 47.97/30.42 inference(modus_ponens,[status(thm)],[5467, 5466])).
% 47.97/30.42 tff(5469,plain,
% 47.97/30.42 (v172(constB33)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5468, 679, 5465, 5431, 5397])).
% 47.97/30.42 tff(5470,plain,
% 47.97/30.42 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB33) | (~v172(constB33)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB33) | (~v172(constB33)))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5471,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB33) | (~v172(constB33)))),
% 47.97/30.42 inference(quant_inst,[status(thm)],[])).
% 47.97/30.42 tff(5472,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB33) | (~v172(constB33))),
% 47.97/30.42 inference(modus_ponens,[status(thm)],[5471, 5470])).
% 47.97/30.42 tff(5473,plain,
% 47.97/30.42 (v109(constB33)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5472, 740, 5469])).
% 47.97/30.42 tff(5474,plain,
% 47.97/30.42 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v109(constB33)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v109(constB33)))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5475,plain,
% 47.97/30.42 (((~v109(constB33)) | v108(constB33)) <=> (v108(constB33) | (~v109(constB33)))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5476,plain,
% 47.97/30.42 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v109(constB33))))),
% 47.97/30.42 inference(monotonicity,[status(thm)],[5475])).
% 47.97/30.42 tff(5477,plain,
% 47.97/30.42 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v109(constB33)))),
% 47.97/30.42 inference(transitivity,[status(thm)],[5476, 5474])).
% 47.97/30.42 tff(5478,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB33)) | v108(constB33))),
% 47.97/30.42 inference(quant_inst,[status(thm)],[])).
% 47.97/30.42 tff(5479,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v109(constB33))),
% 47.97/30.42 inference(modus_ponens,[status(thm)],[5478, 5477])).
% 47.97/30.42 tff(5480,plain,
% 47.97/30.42 (v108(constB33)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5479, 320, 5473])).
% 47.97/30.42 tff(5481,plain,
% 47.97/30.42 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB33) | (~v108(constB33)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB33) | (~v108(constB33)))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5482,plain,
% 47.97/30.42 (((~v108(constB33)) | v107(constB33)) <=> (v107(constB33) | (~v108(constB33)))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5483,plain,
% 47.97/30.42 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB33)) | v107(constB33))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB33) | (~v108(constB33))))),
% 47.97/30.42 inference(monotonicity,[status(thm)],[5482])).
% 47.97/30.42 tff(5484,plain,
% 47.97/30.42 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB33)) | v107(constB33))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB33) | (~v108(constB33)))),
% 47.97/30.42 inference(transitivity,[status(thm)],[5483, 5481])).
% 47.97/30.42 tff(5485,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB33)) | v107(constB33))),
% 47.97/30.42 inference(quant_inst,[status(thm)],[])).
% 47.97/30.42 tff(5486,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB33) | (~v108(constB33))),
% 47.97/30.42 inference(modus_ponens,[status(thm)],[5485, 5484])).
% 47.97/30.42 tff(5487,plain,
% 47.97/30.42 (v107(constB33)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5486, 334, 5480])).
% 47.97/30.42 tff(5488,assumption,(v26(constB33)), introduced(assumption)).
% 47.97/30.42 tff(5489,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 47.97/30.42 inference(quant_inst,[status(thm)],[])).
% 47.97/30.42 tff(5490,plain,
% 47.97/30.42 ($false),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5489, 55, 5488])).
% 47.97/30.42 tff(5491,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 47.97/30.42 tff(5492,plain,
% 47.97/30.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | (~v107(constB33)) | v106(constB33))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB33) | (~v107(constB33)) | v106(constB33))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5493,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | (~v107(constB33)) | v106(constB33))),
% 47.97/30.42 inference(quant_inst,[status(thm)],[])).
% 47.97/30.42 tff(5494,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB33) | (~v107(constB33)) | v106(constB33)),
% 47.97/30.42 inference(modus_ponens,[status(thm)],[5493, 5492])).
% 47.97/30.42 tff(5495,plain,
% 47.97/30.42 ((~v107(constB33)) | v106(constB33)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5494, 348, 5491])).
% 47.97/30.42 tff(5496,plain,
% 47.97/30.42 (v106(constB33)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5495, 5487])).
% 47.97/30.42 tff(5497,plain,
% 47.97/30.42 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB33) | (~v106(constB33)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB33) | (~v106(constB33)))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5498,plain,
% 47.97/30.42 (((~v106(constB33)) | v102(constB33)) <=> (v102(constB33) | (~v106(constB33)))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5499,plain,
% 47.97/30.42 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB33)) | v102(constB33))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB33) | (~v106(constB33))))),
% 47.97/30.42 inference(monotonicity,[status(thm)],[5498])).
% 47.97/30.42 tff(5500,plain,
% 47.97/30.42 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB33)) | v102(constB33))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB33) | (~v106(constB33)))),
% 47.97/30.42 inference(transitivity,[status(thm)],[5499, 5497])).
% 47.97/30.42 tff(5501,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB33)) | v102(constB33))),
% 47.97/30.42 inference(quant_inst,[status(thm)],[])).
% 47.97/30.42 tff(5502,plain,
% 47.97/30.42 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB33) | (~v106(constB33))),
% 47.97/30.42 inference(modus_ponens,[status(thm)],[5501, 5500])).
% 47.97/30.42 tff(5503,plain,
% 47.97/30.42 (v102(constB33)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5502, 504, 5496])).
% 47.97/30.42 tff(5504,plain,
% 47.97/30.42 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5505,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 47.97/30.42 tff(5506,plain,
% 47.97/30.42 (nextState(constB33, constB34)),
% 47.97/30.42 inference(modus_ponens,[status(thm)],[5505, 5504])).
% 47.97/30.42 tff(5507,plain,
% 47.97/30.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5508,plain,
% 47.97/30.42 (((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34)) <=> ((~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5509,plain,
% 47.97/30.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33))))),
% 47.97/30.42 inference(monotonicity,[status(thm)],[5508])).
% 47.97/30.42 tff(5510,plain,
% 47.97/30.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))),
% 47.97/30.42 inference(transitivity,[status(thm)],[5509, 5507])).
% 47.97/30.42 tff(5511,plain,
% 47.97/30.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34))),
% 47.97/30.42 inference(quant_inst,[status(thm)],[])).
% 47.97/30.42 tff(5512,plain,
% 47.97/30.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33))),
% 47.97/30.42 inference(modus_ponens,[status(thm)],[5511, 5510])).
% 47.97/30.42 tff(5513,plain,
% 47.97/30.42 (v104(constB34) | (~v102(constB33))),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5512, 489, 5506])).
% 47.97/30.42 tff(5514,plain,
% 47.97/30.42 (v104(constB34)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5513, 5503])).
% 47.97/30.42 tff(5515,plain,
% 47.97/30.42 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34)))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5516,plain,
% 47.97/30.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34)))),
% 47.97/30.42 inference(quant_inst,[status(thm)],[])).
% 47.97/30.42 tff(5517,plain,
% 47.97/30.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34))),
% 47.97/30.42 inference(modus_ponens,[status(thm)],[5516, 5515])).
% 47.97/30.42 tff(5518,plain,
% 47.97/30.42 (~v98(constB34)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5517, 423, 5506, 5373])).
% 47.97/30.42 tff(5519,plain,
% 47.97/30.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB33, constB34)) | v96(constB34) | v98(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB33, constB34)) | v96(constB34) | v98(constB34))),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5520,plain,
% 47.97/30.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB33, constB34)) | v96(constB34) | v98(constB34))),
% 47.97/30.42 inference(quant_inst,[status(thm)],[])).
% 47.97/30.42 tff(5521,plain,
% 47.97/30.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB33, constB34)) | v96(constB34) | v98(constB34)),
% 47.97/30.42 inference(modus_ponens,[status(thm)],[5520, 5519])).
% 47.97/30.42 tff(5522,plain,
% 47.97/30.42 (v96(constB34) | v98(constB34)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5521, 437, 5506])).
% 47.97/30.42 tff(5523,plain,
% 47.97/30.42 (v96(constB34)),
% 47.97/30.42 inference(unit_resolution,[status(thm)],[5522, 5518])).
% 47.97/30.42 tff(5524,plain,
% 47.97/30.42 (v1(constB34) <=> v1(constB34)),
% 47.97/30.42 inference(rewrite,[status(thm)],[])).
% 47.97/30.42 tff(5525,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 47.97/30.42 tff(5526,plain,
% 47.97/30.42 (v1(constB34)),
% 47.97/30.43 inference(modus_ponens,[status(thm)],[5525, 5524])).
% 47.97/30.43 tff(5527,plain,
% 47.97/30.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34)))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5528,plain,
% 47.97/30.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34)))),
% 47.97/30.43 inference(quant_inst,[status(thm)],[])).
% 47.97/30.43 tff(5529,plain,
% 47.97/30.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34))),
% 47.97/30.43 inference(modus_ponens,[status(thm)],[5528, 5527])).
% 47.97/30.43 tff(5530,plain,
% 47.97/30.43 (v95(constB34) | (~v96(constB34))),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5529, 455, 5506, 5526])).
% 47.97/30.43 tff(5531,plain,
% 47.97/30.43 (v95(constB34)),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5530, 5523])).
% 47.97/30.43 tff(5532,plain,
% 47.97/30.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5533,plain,
% 47.97/30.43 (((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34)) <=> ((~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5534,plain,
% 47.97/30.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34))))),
% 47.97/30.43 inference(monotonicity,[status(thm)],[5533])).
% 47.97/30.43 tff(5535,plain,
% 47.97/30.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))),
% 47.97/30.43 inference(transitivity,[status(thm)],[5534, 5532])).
% 47.97/30.43 tff(5536,plain,
% 47.97/30.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34))),
% 47.97/30.43 inference(quant_inst,[status(thm)],[])).
% 47.97/30.43 tff(5537,plain,
% 47.97/30.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34))),
% 47.97/30.43 inference(modus_ponens,[status(thm)],[5536, 5535])).
% 47.97/30.43 tff(5538,plain,
% 47.97/30.43 (v94(constB34) | (~v95(constB34)) | (~v104(constB34))),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5537, 470, 5506])).
% 47.97/30.43 tff(5539,plain,
% 47.97/30.43 (v94(constB34) | (~v104(constB34))),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5538, 5531])).
% 47.97/30.43 tff(5540,plain,
% 47.97/30.43 (v94(constB34)),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5539, 5514])).
% 47.97/30.43 tff(5541,plain,
% 47.97/30.43 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB33)) | v124(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB33)) | v124(constB33, bitIndex2))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5542,plain,
% 47.97/30.43 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB33)) | v124(constB33, bitIndex2))),
% 47.97/30.43 inference(quant_inst,[status(thm)],[])).
% 47.97/30.43 tff(5543,plain,
% 47.97/30.43 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB33)) | v124(constB33, bitIndex2)),
% 47.97/30.43 inference(modus_ponens,[status(thm)],[5542, 5541])).
% 47.97/30.43 tff(5544,plain,
% 47.97/30.43 (v124(constB33, bitIndex2)),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5543, 691, 5469])).
% 47.97/30.43 tff(5545,plain,
% 47.97/30.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5546,plain,
% 47.97/30.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2))),
% 47.97/30.43 inference(quant_inst,[status(thm)],[])).
% 47.97/30.43 tff(5547,plain,
% 47.97/30.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2)),
% 47.97/30.43 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 47.97/30.43 tff(5548,plain,
% 47.97/30.43 ((~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2)),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5547, 374, 5491])).
% 47.97/30.43 tff(5549,plain,
% 47.97/30.43 (v121(constB33, bitIndex2)),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5548, 5544])).
% 47.97/30.43 tff(5550,plain,
% 47.97/30.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5551,plain,
% 47.97/30.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2))),
% 47.97/30.43 inference(quant_inst,[status(thm)],[])).
% 47.97/30.43 tff(5552,plain,
% 47.97/30.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2)),
% 47.97/30.43 inference(modus_ponens,[status(thm)],[5551, 5550])).
% 47.97/30.43 tff(5553,plain,
% 47.97/30.43 ((~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2)),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5552, 389, 5506])).
% 47.97/30.43 tff(5554,plain,
% 47.97/30.43 (v123(constB34, bitIndex2)),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5553, 5549])).
% 47.97/30.43 tff(5555,plain,
% 47.97/30.43 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5556,plain,
% 47.97/30.43 ((v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2))) <=> (v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5557,plain,
% 47.97/30.43 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34))))),
% 47.97/30.43 inference(monotonicity,[status(thm)],[5556])).
% 47.97/30.43 tff(5558,plain,
% 47.97/30.43 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))),
% 47.97/30.43 inference(transitivity,[status(thm)],[5557, 5555])).
% 47.97/30.43 tff(5559,plain,
% 47.97/30.43 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2)))),
% 47.97/30.43 inference(quant_inst,[status(thm)],[])).
% 47.97/30.43 tff(5560,plain,
% 47.97/30.43 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34))),
% 47.97/30.43 inference(modus_ponens,[status(thm)],[5559, 5558])).
% 47.97/30.43 tff(5561,plain,
% 47.97/30.43 (v84(constB34, bitIndex2) | (~v94(constB34))),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5560, 405, 5554])).
% 47.97/30.43 tff(5562,plain,
% 47.97/30.43 (v84(constB34, bitIndex2)),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5561, 5540])).
% 47.97/30.43 tff(5563,plain,
% 47.97/30.43 ((~v1(constB35)) <=> (~v1(constB35))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5564,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 47.97/30.43 tff(5565,plain,
% 47.97/30.43 (~v1(constB35)),
% 47.97/30.43 inference(modus_ponens,[status(thm)],[5564, 5563])).
% 47.97/30.43 tff(5566,plain,
% 47.97/30.43 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5567,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 47.97/30.43 tff(5568,plain,
% 47.97/30.43 (nextState(constB34, constB35)),
% 47.97/30.43 inference(modus_ponens,[status(thm)],[5567, 5566])).
% 47.97/30.43 tff(5569,plain,
% 47.97/30.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5570,plain,
% 47.97/30.43 (((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5571,plain,
% 47.97/30.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35))))),
% 47.97/30.43 inference(monotonicity,[status(thm)],[5570])).
% 47.97/30.43 tff(5572,plain,
% 47.97/30.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))),
% 47.97/30.43 inference(transitivity,[status(thm)],[5571, 5569])).
% 47.97/30.43 tff(5573,plain,
% 47.97/30.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35))),
% 47.97/30.43 inference(quant_inst,[status(thm)],[])).
% 47.97/30.43 tff(5574,plain,
% 47.97/30.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35))),
% 47.97/30.43 inference(modus_ponens,[status(thm)],[5573, 5572])).
% 47.97/30.43 tff(5575,plain,
% 47.97/30.43 (~v95(constB35)),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5574, 110, 5568, 5565])).
% 47.97/30.43 tff(5576,plain,
% 47.97/30.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35)))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5577,plain,
% 47.97/30.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35)))),
% 47.97/30.43 inference(quant_inst,[status(thm)],[])).
% 47.97/30.43 tff(5578,plain,
% 47.97/30.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35))),
% 47.97/30.43 inference(modus_ponens,[status(thm)],[5577, 5576])).
% 47.97/30.43 tff(5579,plain,
% 47.97/30.43 (v95(constB35) | (~v94(constB35))),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5578, 127, 5568])).
% 47.97/30.43 tff(5580,plain,
% 47.97/30.43 (~v94(constB35)),
% 47.97/30.43 inference(unit_resolution,[status(thm)],[5579, 5575])).
% 47.97/30.43 tff(5581,plain,
% 47.97/30.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5582,plain,
% 47.97/30.43 (((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2)) <=> ((~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))),
% 47.97/30.43 inference(rewrite,[status(thm)],[])).
% 47.97/30.43 tff(5583,plain,
% 47.97/30.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2)))),
% 47.97/30.44 inference(monotonicity,[status(thm)],[5582])).
% 47.97/30.44 tff(5584,plain,
% 47.97/30.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))),
% 47.97/30.44 inference(transitivity,[status(thm)],[5583, 5581])).
% 47.97/30.44 tff(5585,plain,
% 47.97/30.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2))),
% 47.97/30.44 inference(quant_inst,[status(thm)],[])).
% 47.97/30.44 tff(5586,plain,
% 47.97/30.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2)),
% 47.97/30.44 inference(modus_ponens,[status(thm)],[5585, 5584])).
% 47.97/30.44 tff(5587,plain,
% 47.97/30.44 ((~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5586, 576, 5568])).
% 47.97/30.44 tff(5588,plain,
% 47.97/30.44 ((~v84(constB34, bitIndex2)) | v84(constB35, bitIndex2)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5587, 5580])).
% 47.97/30.44 tff(5589,plain,
% 47.97/30.44 (v84(constB35, bitIndex2)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5588, 5562])).
% 47.97/30.44 tff(5590,plain,
% 47.97/30.44 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB35)) | (~v84(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB35)) | (~v84(constB35, bitIndex2)))),
% 47.97/30.44 inference(rewrite,[status(thm)],[])).
% 47.97/30.44 tff(5591,plain,
% 47.97/30.44 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB35)) | (~v84(constB35, bitIndex2)))),
% 47.97/30.44 inference(quant_inst,[status(thm)],[])).
% 47.97/30.44 tff(5592,plain,
% 47.97/30.44 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB35)) | (~v84(constB35, bitIndex2))),
% 47.97/30.44 inference(modus_ponens,[status(thm)],[5591, 5590])).
% 47.97/30.44 tff(5593,plain,
% 47.97/30.44 (~v115(constB35)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5592, 1036, 5589])).
% 47.97/30.44 tff(5594,plain,
% 47.97/30.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB35)) | (~v84(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB35)) | (~v84(constB35, bitIndex2)))),
% 47.97/30.44 inference(rewrite,[status(thm)],[])).
% 47.97/30.44 tff(5595,plain,
% 47.97/30.44 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB35)) | (~v84(constB35, bitIndex2)))),
% 47.97/30.44 inference(quant_inst,[status(thm)],[])).
% 47.97/30.44 tff(5596,plain,
% 47.97/30.44 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB35)) | (~v84(constB35, bitIndex2))),
% 47.97/30.44 inference(modus_ponens,[status(thm)],[5595, 5594])).
% 47.97/30.44 tff(5597,plain,
% 47.97/30.44 (~v116(constB35)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5596, 1047, 5589])).
% 47.97/30.44 tff(5598,plain,
% 47.97/30.44 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB33)) | v124(constB33, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB33)) | v124(constB33, bitIndex1))),
% 47.97/30.44 inference(rewrite,[status(thm)],[])).
% 47.97/30.44 tff(5599,plain,
% 47.97/30.44 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB33)) | v124(constB33, bitIndex1))),
% 47.97/30.44 inference(quant_inst,[status(thm)],[])).
% 47.97/30.44 tff(5600,plain,
% 47.97/30.44 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB33)) | v124(constB33, bitIndex1)),
% 47.97/30.44 inference(modus_ponens,[status(thm)],[5599, 5598])).
% 47.97/30.44 tff(5601,plain,
% 47.97/30.44 (v124(constB33, bitIndex1)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5600, 843, 5469])).
% 47.97/30.44 tff(5602,plain,
% 47.97/30.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB33) | (~v124(constB33, bitIndex1)) | v121(constB33, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB33) | (~v124(constB33, bitIndex1)) | v121(constB33, bitIndex1))),
% 47.97/30.44 inference(rewrite,[status(thm)],[])).
% 47.97/30.44 tff(5603,plain,
% 47.97/30.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB33) | (~v124(constB33, bitIndex1)) | v121(constB33, bitIndex1))),
% 47.97/30.44 inference(quant_inst,[status(thm)],[])).
% 47.97/30.44 tff(5604,plain,
% 47.97/30.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB33) | (~v124(constB33, bitIndex1)) | v121(constB33, bitIndex1)),
% 47.97/30.44 inference(modus_ponens,[status(thm)],[5603, 5602])).
% 47.97/30.44 tff(5605,plain,
% 47.97/30.44 ((~v124(constB33, bitIndex1)) | v121(constB33, bitIndex1)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5604, 857, 5491])).
% 47.97/30.44 tff(5606,plain,
% 47.97/30.44 (v121(constB33, bitIndex1)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5605, 5601])).
% 47.97/30.44 tff(5607,plain,
% 47.97/30.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex1)) | v123(constB34, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex1)) | v123(constB34, bitIndex1))),
% 47.97/30.44 inference(rewrite,[status(thm)],[])).
% 47.97/30.44 tff(5608,plain,
% 47.97/30.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex1)) | v123(constB34, bitIndex1))),
% 47.97/30.44 inference(quant_inst,[status(thm)],[])).
% 47.97/30.44 tff(5609,plain,
% 47.97/30.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex1)) | v123(constB34, bitIndex1)),
% 47.97/30.44 inference(modus_ponens,[status(thm)],[5608, 5607])).
% 47.97/30.44 tff(5610,plain,
% 47.97/30.44 ((~v121(constB33, bitIndex1)) | v123(constB34, bitIndex1)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5609, 872, 5506])).
% 47.97/30.44 tff(5611,plain,
% 47.97/30.44 (v123(constB34, bitIndex1)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5610, 5606])).
% 47.97/30.44 tff(5612,plain,
% 47.97/30.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~v123(constB34, bitIndex1)) | (~v94(constB34)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB34, bitIndex1) | (~v123(constB34, bitIndex1)) | (~v94(constB34)))),
% 47.97/30.44 inference(rewrite,[status(thm)],[])).
% 47.97/30.44 tff(5613,plain,
% 47.97/30.44 ((v84(constB34, bitIndex1) | (~v94(constB34)) | (~v123(constB34, bitIndex1))) <=> (v84(constB34, bitIndex1) | (~v123(constB34, bitIndex1)) | (~v94(constB34)))),
% 47.97/30.44 inference(rewrite,[status(thm)],[])).
% 47.97/30.44 tff(5614,plain,
% 47.97/30.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~v94(constB34)) | (~v123(constB34, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~v123(constB34, bitIndex1)) | (~v94(constB34))))),
% 47.97/30.44 inference(monotonicity,[status(thm)],[5613])).
% 47.97/30.44 tff(5615,plain,
% 47.97/30.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~v94(constB34)) | (~v123(constB34, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB34, bitIndex1) | (~v123(constB34, bitIndex1)) | (~v94(constB34)))),
% 47.97/30.44 inference(transitivity,[status(thm)],[5614, 5612])).
% 47.97/30.44 tff(5616,plain,
% 47.97/30.44 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~v94(constB34)) | (~v123(constB34, bitIndex1)))),
% 47.97/30.44 inference(quant_inst,[status(thm)],[])).
% 47.97/30.44 tff(5617,plain,
% 47.97/30.44 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB34, bitIndex1) | (~v123(constB34, bitIndex1)) | (~v94(constB34))),
% 47.97/30.44 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 47.97/30.44 tff(5618,plain,
% 47.97/30.44 (v84(constB34, bitIndex1) | (~v94(constB34))),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5617, 887, 5611])).
% 47.97/30.44 tff(5619,plain,
% 47.97/30.44 (v84(constB34, bitIndex1)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5618, 5540])).
% 47.97/30.44 tff(5620,plain,
% 47.97/30.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex1))),
% 47.97/30.44 inference(rewrite,[status(thm)],[])).
% 47.97/30.44 tff(5621,plain,
% 47.97/30.44 (((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex1)) | v94(constB35) | v84(constB35, bitIndex1)) <=> ((~v84(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex1))),
% 47.97/30.44 inference(rewrite,[status(thm)],[])).
% 47.97/30.44 tff(5622,plain,
% 47.97/30.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex1)) | v94(constB35) | v84(constB35, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex1)))),
% 47.97/30.44 inference(monotonicity,[status(thm)],[5621])).
% 47.97/30.44 tff(5623,plain,
% 47.97/30.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex1)) | v94(constB35) | v84(constB35, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex1))),
% 47.97/30.44 inference(transitivity,[status(thm)],[5622, 5620])).
% 47.97/30.44 tff(5624,plain,
% 47.97/30.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex1)) | v94(constB35) | v84(constB35, bitIndex1))),
% 47.97/30.44 inference(quant_inst,[status(thm)],[])).
% 47.97/30.44 tff(5625,plain,
% 47.97/30.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex1)),
% 47.97/30.44 inference(modus_ponens,[status(thm)],[5624, 5623])).
% 47.97/30.44 tff(5626,plain,
% 47.97/30.44 ((~v84(constB34, bitIndex1)) | v94(constB35) | v84(constB35, bitIndex1)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5625, 905, 5568])).
% 47.97/30.44 tff(5627,plain,
% 47.97/30.44 ((~v84(constB34, bitIndex1)) | v84(constB35, bitIndex1)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5626, 5580])).
% 47.97/30.44 tff(5628,plain,
% 47.97/30.44 (v84(constB35, bitIndex1)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5627, 5619])).
% 47.97/30.44 tff(5629,plain,
% 47.97/30.44 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB35)) | (~v84(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB35)) | (~v84(constB35, bitIndex1)))),
% 47.97/30.44 inference(rewrite,[status(thm)],[])).
% 47.97/30.44 tff(5630,plain,
% 47.97/30.44 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB35)) | (~v84(constB35, bitIndex1)))),
% 47.97/30.44 inference(quant_inst,[status(thm)],[])).
% 47.97/30.44 tff(5631,plain,
% 47.97/30.44 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB35)) | (~v84(constB35, bitIndex1))),
% 47.97/30.44 inference(modus_ponens,[status(thm)],[5630, 5629])).
% 47.97/30.44 tff(5632,plain,
% 47.97/30.44 (~v113(constB35)),
% 47.97/30.44 inference(unit_resolution,[status(thm)],[5631, 1058, 5628])).
% 47.97/30.44 tff(5633,plain,
% 47.97/30.44 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB35)) | (~v84(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB35)) | (~v84(constB35, bitIndex1)))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5634,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB35)) | (~v84(constB35, bitIndex1)))),
% 47.97/30.45 inference(quant_inst,[status(thm)],[])).
% 47.97/30.45 tff(5635,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB35)) | (~v84(constB35, bitIndex1))),
% 47.97/30.45 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 47.97/30.45 tff(5636,plain,
% 47.97/30.45 (~v118(constB35)),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5635, 1069, 5628])).
% 47.97/30.45 tff(5637,plain,
% 47.97/30.45 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB35)) | (~v84(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB35)) | (~v84(constB35, bitIndex1)))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5638,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB35)) | (~v84(constB35, bitIndex1)))),
% 47.97/30.45 inference(quant_inst,[status(thm)],[])).
% 47.97/30.45 tff(5639,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB35)) | (~v84(constB35, bitIndex1))),
% 47.97/30.45 inference(modus_ponens,[status(thm)],[5638, 5637])).
% 47.97/30.45 tff(5640,plain,
% 47.97/30.45 (~v172(constB35)),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5639, 1080, 5628])).
% 47.97/30.45 tff(5641,plain,
% 47.97/30.45 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB35)) | (~v84(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB35)) | (~v84(constB35, bitIndex1)))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5642,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB35)) | (~v84(constB35, bitIndex1)))),
% 47.97/30.45 inference(quant_inst,[status(thm)],[])).
% 47.97/30.45 tff(5643,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB35)) | (~v84(constB35, bitIndex1))),
% 47.97/30.45 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 47.97/30.45 tff(5644,plain,
% 47.97/30.45 (~v145(constB35)),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5643, 1091, 5628])).
% 47.97/30.45 tff(5645,plain,
% 47.97/30.45 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB35, bitIndex2)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB35, bitIndex2)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5646,plain,
% 47.97/30.45 ((v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex2))) <=> ((~v124(constB35, bitIndex2)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5647,plain,
% 47.97/30.45 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB35, bitIndex2)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)))),
% 47.97/30.45 inference(monotonicity,[status(thm)],[5646])).
% 47.97/30.45 tff(5648,plain,
% 47.97/30.45 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB35, bitIndex2)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 47.97/30.45 inference(transitivity,[status(thm)],[5647, 5645])).
% 47.97/30.45 tff(5649,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex2)))),
% 47.97/30.45 inference(quant_inst,[status(thm)],[])).
% 47.97/30.45 tff(5650,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB35, bitIndex2)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)),
% 47.97/30.45 inference(modus_ponens,[status(thm)],[5649, 5648])).
% 47.97/30.45 tff(5651,plain,
% 47.97/30.45 (~v124(constB35, bitIndex2)),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5650, 1170, 5644, 5640, 5636, 5632, 5597, 5593])).
% 47.97/30.45 tff(5652,assumption,(v26(constB35)), introduced(assumption)).
% 47.97/30.45 tff(5653,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 47.97/30.45 inference(quant_inst,[status(thm)],[])).
% 47.97/30.45 tff(5654,plain,
% 47.97/30.45 ($false),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5653, 55, 5652])).
% 47.97/30.45 tff(5655,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 47.97/30.45 tff(5656,plain,
% 47.97/30.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB35, bitIndex2)) | v26(constB35) | v124(constB35, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB35, bitIndex2)) | v26(constB35) | v124(constB35, bitIndex2))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5657,plain,
% 47.97/30.45 ((v26(constB35) | v124(constB35, bitIndex2) | (~v121(constB35, bitIndex2))) <=> ((~v121(constB35, bitIndex2)) | v26(constB35) | v124(constB35, bitIndex2))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5658,plain,
% 47.97/30.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB35) | v124(constB35, bitIndex2) | (~v121(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB35, bitIndex2)) | v26(constB35) | v124(constB35, bitIndex2)))),
% 47.97/30.45 inference(monotonicity,[status(thm)],[5657])).
% 47.97/30.45 tff(5659,plain,
% 47.97/30.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB35) | v124(constB35, bitIndex2) | (~v121(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB35, bitIndex2)) | v26(constB35) | v124(constB35, bitIndex2))),
% 47.97/30.45 inference(transitivity,[status(thm)],[5658, 5656])).
% 47.97/30.45 tff(5660,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB35) | v124(constB35, bitIndex2) | (~v121(constB35, bitIndex2)))),
% 47.97/30.45 inference(quant_inst,[status(thm)],[])).
% 47.97/30.45 tff(5661,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB35, bitIndex2)) | v26(constB35) | v124(constB35, bitIndex2)),
% 47.97/30.45 inference(modus_ponens,[status(thm)],[5660, 5659])).
% 47.97/30.45 tff(5662,plain,
% 47.97/30.45 ((~v121(constB35, bitIndex2)) | v124(constB35, bitIndex2)),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5661, 1187, 5655])).
% 47.97/30.45 tff(5663,plain,
% 47.97/30.45 (~v121(constB35, bitIndex2)),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5662, 5651])).
% 47.97/30.45 tff(5664,plain,
% 47.97/30.45 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5665,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 47.97/30.45 tff(5666,plain,
% 47.97/30.45 (nextState(constB35, constB36)),
% 47.97/30.45 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 47.97/30.45 tff(5667,plain,
% 47.97/30.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex2) | (~v123(constB36, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex2) | (~v123(constB36, bitIndex2)))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5668,plain,
% 47.97/30.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex2) | (~v123(constB36, bitIndex2)))),
% 47.97/30.45 inference(quant_inst,[status(thm)],[])).
% 47.97/30.45 tff(5669,plain,
% 47.97/30.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex2) | (~v123(constB36, bitIndex2))),
% 47.97/30.45 inference(modus_ponens,[status(thm)],[5668, 5667])).
% 47.97/30.45 tff(5670,plain,
% 47.97/30.45 (v121(constB35, bitIndex2) | (~v123(constB36, bitIndex2))),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5669, 1205, 5666])).
% 47.97/30.45 tff(5671,plain,
% 47.97/30.45 (~v123(constB36, bitIndex2)),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5670, 5663])).
% 47.97/30.45 tff(5672,plain,
% 47.97/30.45 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB33)) | (~v124(constB33, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB33)) | (~v124(constB33, bitIndex0)))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5673,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB33)) | (~v124(constB33, bitIndex0)))),
% 47.97/30.45 inference(quant_inst,[status(thm)],[])).
% 47.97/30.45 tff(5674,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB33)) | (~v124(constB33, bitIndex0))),
% 47.97/30.45 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 47.97/30.45 tff(5675,plain,
% 47.97/30.45 (~v124(constB33, bitIndex0)),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5674, 921, 5469])).
% 47.97/30.45 tff(5676,plain,
% 47.97/30.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB33, bitIndex0)) | v26(constB33) | v124(constB33, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB33, bitIndex0)) | v26(constB33) | v124(constB33, bitIndex0))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5677,plain,
% 47.97/30.45 ((v26(constB33) | v124(constB33, bitIndex0) | (~v121(constB33, bitIndex0))) <=> ((~v121(constB33, bitIndex0)) | v26(constB33) | v124(constB33, bitIndex0))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5678,plain,
% 47.97/30.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB33) | v124(constB33, bitIndex0) | (~v121(constB33, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB33, bitIndex0)) | v26(constB33) | v124(constB33, bitIndex0)))),
% 47.97/30.45 inference(monotonicity,[status(thm)],[5677])).
% 47.97/30.45 tff(5679,plain,
% 47.97/30.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB33) | v124(constB33, bitIndex0) | (~v121(constB33, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB33, bitIndex0)) | v26(constB33) | v124(constB33, bitIndex0))),
% 47.97/30.45 inference(transitivity,[status(thm)],[5678, 5676])).
% 47.97/30.45 tff(5680,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB33) | v124(constB33, bitIndex0) | (~v121(constB33, bitIndex0)))),
% 47.97/30.45 inference(quant_inst,[status(thm)],[])).
% 47.97/30.45 tff(5681,plain,
% 47.97/30.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB33, bitIndex0)) | v26(constB33) | v124(constB33, bitIndex0)),
% 47.97/30.45 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 47.97/30.45 tff(5682,plain,
% 47.97/30.45 ((~v121(constB33, bitIndex0)) | v124(constB33, bitIndex0)),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5681, 607, 5491])).
% 47.97/30.45 tff(5683,plain,
% 47.97/30.45 (~v121(constB33, bitIndex0)),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5682, 5675])).
% 47.97/30.45 tff(5684,plain,
% 47.97/30.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v121(constB33, bitIndex0) | (~v123(constB34, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v121(constB33, bitIndex0) | (~v123(constB34, bitIndex0)))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5685,plain,
% 47.97/30.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v121(constB33, bitIndex0) | (~v123(constB34, bitIndex0)))),
% 47.97/30.45 inference(quant_inst,[status(thm)],[])).
% 47.97/30.45 tff(5686,plain,
% 47.97/30.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v121(constB33, bitIndex0) | (~v123(constB34, bitIndex0))),
% 47.97/30.45 inference(modus_ponens,[status(thm)],[5685, 5684])).
% 47.97/30.45 tff(5687,plain,
% 47.97/30.45 (v121(constB33, bitIndex0) | (~v123(constB34, bitIndex0))),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5686, 637, 5506])).
% 47.97/30.45 tff(5688,plain,
% 47.97/30.45 (~v123(constB34, bitIndex0)),
% 47.97/30.45 inference(unit_resolution,[status(thm)],[5687, 5683])).
% 47.97/30.45 tff(5689,plain,
% 47.97/30.45 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | v123(constB34, bitIndex0) | (~v94(constB34)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB34, bitIndex0)) | v123(constB34, bitIndex0) | (~v94(constB34)))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5690,plain,
% 47.97/30.45 (((~v84(constB34, bitIndex0)) | (~v94(constB34)) | v123(constB34, bitIndex0)) <=> ((~v84(constB34, bitIndex0)) | v123(constB34, bitIndex0) | (~v94(constB34)))),
% 47.97/30.45 inference(rewrite,[status(thm)],[])).
% 47.97/30.45 tff(5691,plain,
% 47.97/30.45 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | (~v94(constB34)) | v123(constB34, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | v123(constB34, bitIndex0) | (~v94(constB34))))),
% 47.97/30.46 inference(monotonicity,[status(thm)],[5690])).
% 47.97/30.46 tff(5692,plain,
% 47.97/30.46 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | (~v94(constB34)) | v123(constB34, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB34, bitIndex0)) | v123(constB34, bitIndex0) | (~v94(constB34)))),
% 47.97/30.46 inference(transitivity,[status(thm)],[5691, 5689])).
% 47.97/30.46 tff(5693,plain,
% 47.97/30.46 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | (~v94(constB34)) | v123(constB34, bitIndex0))),
% 47.97/30.46 inference(quant_inst,[status(thm)],[])).
% 47.97/30.46 tff(5694,plain,
% 47.97/30.46 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB34, bitIndex0)) | v123(constB34, bitIndex0) | (~v94(constB34))),
% 47.97/30.46 inference(modus_ponens,[status(thm)],[5693, 5692])).
% 47.97/30.46 tff(5695,plain,
% 47.97/30.46 ((~v84(constB34, bitIndex0)) | (~v94(constB34))),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5694, 652, 5688])).
% 47.97/30.46 tff(5696,plain,
% 47.97/30.46 (~v84(constB34, bitIndex0)),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5695, 5540])).
% 47.97/30.46 tff(5697,plain,
% 47.97/30.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex0)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5698,plain,
% 47.97/30.46 (((~nextState(constB34, constB35)) | v84(constB34, bitIndex0) | v94(constB35) | (~v84(constB35, bitIndex0))) <=> (v84(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex0)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5699,plain,
% 47.97/30.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v84(constB34, bitIndex0) | v94(constB35) | (~v84(constB35, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex0))))),
% 47.97/30.46 inference(monotonicity,[status(thm)],[5698])).
% 47.97/30.46 tff(5700,plain,
% 47.97/30.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v84(constB34, bitIndex0) | v94(constB35) | (~v84(constB35, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex0)))),
% 47.97/30.46 inference(transitivity,[status(thm)],[5699, 5697])).
% 47.97/30.46 tff(5701,plain,
% 47.97/30.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v84(constB34, bitIndex0) | v94(constB35) | (~v84(constB35, bitIndex0)))),
% 47.97/30.46 inference(quant_inst,[status(thm)],[])).
% 47.97/30.46 tff(5702,plain,
% 47.97/30.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex0))),
% 47.97/30.46 inference(modus_ponens,[status(thm)],[5701, 5700])).
% 47.97/30.46 tff(5703,plain,
% 47.97/30.46 (v84(constB34, bitIndex0) | v94(constB35) | (~v84(constB35, bitIndex0))),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5702, 184, 5568])).
% 47.97/30.46 tff(5704,plain,
% 47.97/30.46 (v84(constB34, bitIndex0) | (~v84(constB35, bitIndex0))),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5703, 5580])).
% 47.97/30.46 tff(5705,plain,
% 47.97/30.46 (~v84(constB35, bitIndex0)),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5704, 5696])).
% 47.97/30.46 tff(5706,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB35, bitIndex0) | (~v84(constB35, bitIndex1)) | (~v84(constB35, bitIndex2)) | v119(constB35))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB35, bitIndex0) | (~v84(constB35, bitIndex1)) | (~v84(constB35, bitIndex2)) | v119(constB35))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5707,plain,
% 47.97/30.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB35, bitIndex0) | (~v84(constB35, bitIndex1)) | (~v84(constB35, bitIndex2)) | v119(constB35))),
% 47.97/30.46 inference(quant_inst,[status(thm)],[])).
% 47.97/30.46 tff(5708,plain,
% 47.97/30.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB35, bitIndex0) | (~v84(constB35, bitIndex1)) | (~v84(constB35, bitIndex2)) | v119(constB35)),
% 47.97/30.46 inference(modus_ponens,[status(thm)],[5707, 5706])).
% 47.97/30.46 tff(5709,plain,
% 47.97/30.46 (v119(constB35)),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5708, 965, 5705, 5628, 5589])).
% 47.97/30.46 tff(5710,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB35) | (~v119(constB35)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB35) | (~v119(constB35)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5711,plain,
% 47.97/30.46 (((~v119(constB35)) | v107(constB35)) <=> (v107(constB35) | (~v119(constB35)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5712,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB35)) | v107(constB35))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB35) | (~v119(constB35))))),
% 47.97/30.46 inference(monotonicity,[status(thm)],[5711])).
% 47.97/30.46 tff(5713,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB35)) | v107(constB35))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB35) | (~v119(constB35)))),
% 47.97/30.46 inference(transitivity,[status(thm)],[5712, 5710])).
% 47.97/30.46 tff(5714,plain,
% 47.97/30.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB35)) | v107(constB35))),
% 47.97/30.46 inference(quant_inst,[status(thm)],[])).
% 47.97/30.46 tff(5715,plain,
% 47.97/30.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB35) | (~v119(constB35))),
% 47.97/30.46 inference(modus_ponens,[status(thm)],[5714, 5713])).
% 47.97/30.46 tff(5716,plain,
% 47.97/30.46 (v107(constB35)),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5715, 976, 5709])).
% 47.97/30.46 tff(5717,assumption,(~v102(constB35)), introduced(assumption)).
% 47.97/30.46 tff(5718,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB35) | (~v106(constB35)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB35) | (~v106(constB35)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5719,plain,
% 47.97/30.46 (((~v106(constB35)) | v102(constB35)) <=> (v102(constB35) | (~v106(constB35)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5720,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB35)) | v102(constB35))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB35) | (~v106(constB35))))),
% 47.97/30.46 inference(monotonicity,[status(thm)],[5719])).
% 47.97/30.46 tff(5721,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB35)) | v102(constB35))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB35) | (~v106(constB35)))),
% 47.97/30.46 inference(transitivity,[status(thm)],[5720, 5718])).
% 47.97/30.46 tff(5722,plain,
% 47.97/30.46 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB35)) | v102(constB35))),
% 47.97/30.46 inference(quant_inst,[status(thm)],[])).
% 47.97/30.46 tff(5723,plain,
% 47.97/30.46 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB35) | (~v106(constB35))),
% 47.97/30.46 inference(modus_ponens,[status(thm)],[5722, 5721])).
% 47.97/30.46 tff(5724,plain,
% 47.97/30.46 (~v106(constB35)),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5723, 504, 5717])).
% 47.97/30.46 tff(5725,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB35) | (~v26(constB35)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB35) | (~v26(constB35)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5726,plain,
% 47.97/30.46 (((~v26(constB35)) | v102(constB35)) <=> (v102(constB35) | (~v26(constB35)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5727,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB35)) | v102(constB35))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB35) | (~v26(constB35))))),
% 47.97/30.46 inference(monotonicity,[status(thm)],[5726])).
% 47.97/30.46 tff(5728,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB35)) | v102(constB35))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB35) | (~v26(constB35)))),
% 47.97/30.46 inference(transitivity,[status(thm)],[5727, 5725])).
% 47.97/30.46 tff(5729,plain,
% 47.97/30.46 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB35)) | v102(constB35))),
% 47.97/30.46 inference(quant_inst,[status(thm)],[])).
% 47.97/30.46 tff(5730,plain,
% 47.97/30.46 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB35) | (~v26(constB35))),
% 47.97/30.46 inference(modus_ponens,[status(thm)],[5729, 5728])).
% 47.97/30.46 tff(5731,plain,
% 47.97/30.46 (~v26(constB35)),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5730, 723, 5717])).
% 47.97/30.46 tff(5732,assumption,(v107(constB35)), introduced(assumption)).
% 47.97/30.46 tff(5733,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | v106(constB35) | (~v107(constB35)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB35) | v106(constB35) | (~v107(constB35)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5734,plain,
% 47.97/30.46 ((v26(constB35) | (~v107(constB35)) | v106(constB35)) <=> (v26(constB35) | v106(constB35) | (~v107(constB35)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5735,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | (~v107(constB35)) | v106(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | v106(constB35) | (~v107(constB35))))),
% 47.97/30.46 inference(monotonicity,[status(thm)],[5734])).
% 47.97/30.46 tff(5736,plain,
% 47.97/30.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | (~v107(constB35)) | v106(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB35) | v106(constB35) | (~v107(constB35)))),
% 47.97/30.46 inference(transitivity,[status(thm)],[5735, 5733])).
% 47.97/30.46 tff(5737,plain,
% 47.97/30.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | (~v107(constB35)) | v106(constB35))),
% 47.97/30.46 inference(quant_inst,[status(thm)],[])).
% 47.97/30.46 tff(5738,plain,
% 47.97/30.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB35) | v106(constB35) | (~v107(constB35))),
% 47.97/30.46 inference(modus_ponens,[status(thm)],[5737, 5736])).
% 47.97/30.46 tff(5739,plain,
% 47.97/30.46 (v26(constB35) | v106(constB35)),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5738, 348, 5732])).
% 47.97/30.46 tff(5740,plain,
% 47.97/30.46 ($false),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5739, 5731, 5724])).
% 47.97/30.46 tff(5741,plain,(v102(constB35) | (~v107(constB35))), inference(lemma,lemma(discharge,[]))).
% 47.97/30.46 tff(5742,plain,
% 47.97/30.46 (v102(constB35)),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5741, 5716])).
% 47.97/30.46 tff(5743,plain,
% 47.97/30.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5744,plain,
% 47.97/30.46 (((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36)) <=> ((~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5745,plain,
% 47.97/30.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35))))),
% 47.97/30.46 inference(monotonicity,[status(thm)],[5744])).
% 47.97/30.46 tff(5746,plain,
% 47.97/30.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))),
% 47.97/30.46 inference(transitivity,[status(thm)],[5745, 5743])).
% 47.97/30.46 tff(5747,plain,
% 47.97/30.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36))),
% 47.97/30.46 inference(quant_inst,[status(thm)],[])).
% 47.97/30.46 tff(5748,plain,
% 47.97/30.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35))),
% 47.97/30.46 inference(modus_ponens,[status(thm)],[5747, 5746])).
% 47.97/30.46 tff(5749,plain,
% 47.97/30.46 (v104(constB36) | (~v102(constB35))),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5748, 489, 5666])).
% 47.97/30.46 tff(5750,plain,
% 47.97/30.46 (v104(constB36)),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5749, 5742])).
% 47.97/30.46 tff(5751,plain,
% 47.97/30.46 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36)))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5752,plain,
% 47.97/30.46 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36)))),
% 47.97/30.46 inference(quant_inst,[status(thm)],[])).
% 47.97/30.46 tff(5753,plain,
% 47.97/30.46 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36))),
% 47.97/30.46 inference(modus_ponens,[status(thm)],[5752, 5751])).
% 47.97/30.46 tff(5754,plain,
% 47.97/30.46 (~v98(constB36)),
% 47.97/30.46 inference(unit_resolution,[status(thm)],[5753, 423, 5666, 5565])).
% 47.97/30.46 tff(5755,plain,
% 47.97/30.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB35, constB36)) | v96(constB36) | v98(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB35, constB36)) | v96(constB36) | v98(constB36))),
% 47.97/30.46 inference(rewrite,[status(thm)],[])).
% 47.97/30.46 tff(5756,plain,
% 47.97/30.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB35, constB36)) | v96(constB36) | v98(constB36))),
% 47.97/30.46 inference(quant_inst,[status(thm)],[])).
% 47.97/30.47 tff(5757,plain,
% 47.97/30.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB35, constB36)) | v96(constB36) | v98(constB36)),
% 47.97/30.47 inference(modus_ponens,[status(thm)],[5756, 5755])).
% 47.97/30.47 tff(5758,plain,
% 47.97/30.47 (v96(constB36) | v98(constB36)),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5757, 437, 5666])).
% 47.97/30.47 tff(5759,plain,
% 47.97/30.47 (v96(constB36)),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5758, 5754])).
% 47.97/30.47 tff(5760,plain,
% 47.97/30.47 (v1(constB36) <=> v1(constB36)),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5761,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 47.97/30.47 tff(5762,plain,
% 47.97/30.47 (v1(constB36)),
% 47.97/30.47 inference(modus_ponens,[status(thm)],[5761, 5760])).
% 47.97/30.47 tff(5763,plain,
% 47.97/30.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36)))),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5764,plain,
% 47.97/30.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36)))),
% 47.97/30.47 inference(quant_inst,[status(thm)],[])).
% 47.97/30.47 tff(5765,plain,
% 47.97/30.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36))),
% 47.97/30.47 inference(modus_ponens,[status(thm)],[5764, 5763])).
% 47.97/30.47 tff(5766,plain,
% 47.97/30.47 (v95(constB36) | (~v96(constB36))),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5765, 455, 5666, 5762])).
% 47.97/30.47 tff(5767,plain,
% 47.97/30.47 (v95(constB36)),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5766, 5759])).
% 47.97/30.47 tff(5768,plain,
% 47.97/30.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5769,plain,
% 47.97/30.47 (((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36)) <=> ((~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5770,plain,
% 47.97/30.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36))))),
% 47.97/30.47 inference(monotonicity,[status(thm)],[5769])).
% 47.97/30.47 tff(5771,plain,
% 47.97/30.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))),
% 47.97/30.47 inference(transitivity,[status(thm)],[5770, 5768])).
% 47.97/30.47 tff(5772,plain,
% 47.97/30.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36))),
% 47.97/30.47 inference(quant_inst,[status(thm)],[])).
% 47.97/30.47 tff(5773,plain,
% 47.97/30.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36))),
% 47.97/30.47 inference(modus_ponens,[status(thm)],[5772, 5771])).
% 47.97/30.47 tff(5774,plain,
% 47.97/30.47 (v94(constB36) | (~v95(constB36)) | (~v104(constB36))),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5773, 470, 5666])).
% 47.97/30.47 tff(5775,plain,
% 47.97/30.47 (v94(constB36) | (~v104(constB36))),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5774, 5767])).
% 47.97/30.47 tff(5776,plain,
% 47.97/30.47 (v94(constB36)),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5775, 5750])).
% 47.97/30.47 tff(5777,plain,
% 47.97/30.47 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB36, bitIndex2)) | v123(constB36, bitIndex2) | (~v94(constB36)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB36, bitIndex2)) | v123(constB36, bitIndex2) | (~v94(constB36)))),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5778,plain,
% 47.97/30.47 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB36, bitIndex2)) | v123(constB36, bitIndex2) | (~v94(constB36)))),
% 47.97/30.47 inference(quant_inst,[status(thm)],[])).
% 47.97/30.47 tff(5779,plain,
% 47.97/30.47 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB36, bitIndex2)) | v123(constB36, bitIndex2) | (~v94(constB36))),
% 47.97/30.47 inference(modus_ponens,[status(thm)],[5778, 5777])).
% 47.97/30.47 tff(5780,plain,
% 47.97/30.47 (~v84(constB36, bitIndex2)),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5779, 1220, 5776, 5671])).
% 47.97/30.47 tff(5781,plain,
% 47.97/30.47 ((~v1(constB37)) <=> (~v1(constB37))),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5782,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 47.97/30.47 tff(5783,plain,
% 47.97/30.47 (~v1(constB37)),
% 47.97/30.47 inference(modus_ponens,[status(thm)],[5782, 5781])).
% 47.97/30.47 tff(5784,plain,
% 47.97/30.47 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5785,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 47.97/30.47 tff(5786,plain,
% 47.97/30.47 (nextState(constB36, constB37)),
% 47.97/30.47 inference(modus_ponens,[status(thm)],[5785, 5784])).
% 47.97/30.47 tff(5787,plain,
% 47.97/30.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5788,plain,
% 47.97/30.47 (((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5789,plain,
% 47.97/30.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37))))),
% 47.97/30.47 inference(monotonicity,[status(thm)],[5788])).
% 47.97/30.47 tff(5790,plain,
% 47.97/30.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))),
% 47.97/30.47 inference(transitivity,[status(thm)],[5789, 5787])).
% 47.97/30.47 tff(5791,plain,
% 47.97/30.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37))),
% 47.97/30.47 inference(quant_inst,[status(thm)],[])).
% 47.97/30.47 tff(5792,plain,
% 47.97/30.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37))),
% 47.97/30.47 inference(modus_ponens,[status(thm)],[5791, 5790])).
% 47.97/30.47 tff(5793,plain,
% 47.97/30.47 (~v95(constB37)),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5792, 110, 5786, 5783])).
% 47.97/30.47 tff(5794,plain,
% 47.97/30.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37)))),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5795,plain,
% 47.97/30.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37)))),
% 47.97/30.47 inference(quant_inst,[status(thm)],[])).
% 47.97/30.47 tff(5796,plain,
% 47.97/30.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37))),
% 47.97/30.47 inference(modus_ponens,[status(thm)],[5795, 5794])).
% 47.97/30.47 tff(5797,plain,
% 47.97/30.47 (v95(constB37) | (~v94(constB37))),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5796, 127, 5786])).
% 47.97/30.47 tff(5798,plain,
% 47.97/30.47 (~v94(constB37)),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5797, 5793])).
% 47.97/30.47 tff(5799,plain,
% 47.97/30.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex2)))),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5800,plain,
% 47.97/30.47 (((~nextState(constB36, constB37)) | v84(constB36, bitIndex2) | v94(constB37) | (~v84(constB37, bitIndex2))) <=> (v84(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex2)))),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5801,plain,
% 47.97/30.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex2) | v94(constB37) | (~v84(constB37, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex2))))),
% 47.97/30.47 inference(monotonicity,[status(thm)],[5800])).
% 47.97/30.47 tff(5802,plain,
% 47.97/30.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex2) | v94(constB37) | (~v84(constB37, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex2)))),
% 47.97/30.47 inference(transitivity,[status(thm)],[5801, 5799])).
% 47.97/30.47 tff(5803,plain,
% 47.97/30.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex2) | v94(constB37) | (~v84(constB37, bitIndex2)))),
% 47.97/30.47 inference(quant_inst,[status(thm)],[])).
% 47.97/30.47 tff(5804,plain,
% 47.97/30.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex2))),
% 47.97/30.47 inference(modus_ponens,[status(thm)],[5803, 5802])).
% 47.97/30.47 tff(5805,plain,
% 47.97/30.47 (v84(constB36, bitIndex2) | v94(constB37) | (~v84(constB37, bitIndex2))),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5804, 142, 5786])).
% 47.97/30.47 tff(5806,plain,
% 47.97/30.47 (v84(constB36, bitIndex2) | (~v84(constB37, bitIndex2))),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5805, 5798])).
% 47.97/30.47 tff(5807,plain,
% 47.97/30.47 (~v84(constB37, bitIndex2)),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5806, 5780])).
% 47.97/30.47 tff(5808,plain,
% 47.97/30.47 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB35, bitIndex1)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB35, bitIndex1)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5809,plain,
% 47.97/30.47 ((v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex1))) <=> ((~v124(constB35, bitIndex1)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 47.97/30.47 inference(rewrite,[status(thm)],[])).
% 47.97/30.47 tff(5810,plain,
% 47.97/30.47 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB35, bitIndex1)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)))),
% 47.97/30.47 inference(monotonicity,[status(thm)],[5809])).
% 47.97/30.47 tff(5811,plain,
% 47.97/30.47 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB35, bitIndex1)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 47.97/30.47 inference(transitivity,[status(thm)],[5810, 5808])).
% 47.97/30.47 tff(5812,plain,
% 47.97/30.47 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex1)))),
% 47.97/30.47 inference(quant_inst,[status(thm)],[])).
% 47.97/30.47 tff(5813,plain,
% 47.97/30.47 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB35, bitIndex1)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)),
% 47.97/30.47 inference(modus_ponens,[status(thm)],[5812, 5811])).
% 47.97/30.47 tff(5814,plain,
% 47.97/30.47 (~v124(constB35, bitIndex1)),
% 47.97/30.47 inference(unit_resolution,[status(thm)],[5813, 1105, 5644, 5640, 5636, 5632, 5597, 5593])).
% 47.97/30.48 tff(5815,plain,
% 47.97/30.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB35, bitIndex1)) | v26(constB35) | v124(constB35, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB35, bitIndex1)) | v26(constB35) | v124(constB35, bitIndex1))),
% 47.97/30.48 inference(rewrite,[status(thm)],[])).
% 47.97/30.48 tff(5816,plain,
% 47.97/30.48 ((v26(constB35) | v124(constB35, bitIndex1) | (~v121(constB35, bitIndex1))) <=> ((~v121(constB35, bitIndex1)) | v26(constB35) | v124(constB35, bitIndex1))),
% 47.97/30.48 inference(rewrite,[status(thm)],[])).
% 47.97/30.48 tff(5817,plain,
% 47.97/30.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB35) | v124(constB35, bitIndex1) | (~v121(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB35, bitIndex1)) | v26(constB35) | v124(constB35, bitIndex1)))),
% 47.97/30.48 inference(monotonicity,[status(thm)],[5816])).
% 47.97/30.48 tff(5818,plain,
% 47.97/30.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB35) | v124(constB35, bitIndex1) | (~v121(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB35, bitIndex1)) | v26(constB35) | v124(constB35, bitIndex1))),
% 47.97/30.48 inference(transitivity,[status(thm)],[5817, 5815])).
% 47.97/30.48 tff(5819,plain,
% 47.97/30.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB35) | v124(constB35, bitIndex1) | (~v121(constB35, bitIndex1)))),
% 47.97/30.48 inference(quant_inst,[status(thm)],[])).
% 47.97/30.48 tff(5820,plain,
% 47.97/30.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB35, bitIndex1)) | v26(constB35) | v124(constB35, bitIndex1)),
% 47.97/30.48 inference(modus_ponens,[status(thm)],[5819, 5818])).
% 47.97/30.48 tff(5821,plain,
% 47.97/30.48 ((~v121(constB35, bitIndex1)) | v124(constB35, bitIndex1)),
% 47.97/30.48 inference(unit_resolution,[status(thm)],[5820, 233, 5655])).
% 47.97/30.48 tff(5822,plain,
% 47.97/30.48 (~v121(constB35, bitIndex1)),
% 47.97/30.48 inference(unit_resolution,[status(thm)],[5821, 5814])).
% 47.97/30.48 tff(5823,plain,
% 47.97/30.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1)))),
% 47.97/30.48 inference(rewrite,[status(thm)],[])).
% 47.97/30.48 tff(5824,plain,
% 47.97/30.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1)))),
% 47.97/30.48 inference(quant_inst,[status(thm)],[])).
% 47.97/30.48 tff(5825,plain,
% 47.97/30.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1))),
% 47.97/30.48 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 47.97/30.48 tff(5826,plain,
% 47.97/30.48 (v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1))),
% 47.97/30.48 inference(unit_resolution,[status(thm)],[5825, 254, 5666])).
% 47.97/30.48 tff(5827,plain,
% 47.97/30.48 (~v123(constB36, bitIndex1)),
% 47.97/30.48 inference(unit_resolution,[status(thm)],[5826, 5822])).
% 47.97/30.48 tff(5828,plain,
% 47.97/30.48 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36)))),
% 47.97/30.48 inference(rewrite,[status(thm)],[])).
% 47.97/30.48 tff(5829,plain,
% 47.97/30.48 (((~v84(constB36, bitIndex1)) | (~v94(constB36)) | v123(constB36, bitIndex1)) <=> ((~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36)))),
% 47.97/30.48 inference(rewrite,[status(thm)],[])).
% 47.97/30.48 tff(5830,plain,
% 47.97/30.48 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~v94(constB36)) | v123(constB36, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36))))),
% 47.97/30.48 inference(monotonicity,[status(thm)],[5829])).
% 47.97/30.48 tff(5831,plain,
% 47.97/30.48 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~v94(constB36)) | v123(constB36, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36)))),
% 47.97/30.48 inference(transitivity,[status(thm)],[5830, 5828])).
% 47.97/30.48 tff(5832,plain,
% 47.97/30.48 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~v94(constB36)) | v123(constB36, bitIndex1))),
% 47.97/30.48 inference(quant_inst,[status(thm)],[])).
% 47.97/30.48 tff(5833,plain,
% 47.97/30.48 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36))),
% 47.97/30.48 inference(modus_ponens,[status(thm)],[5832, 5831])).
% 47.97/30.48 tff(5834,plain,
% 47.97/30.48 (~v84(constB36, bitIndex1)),
% 47.97/30.48 inference(unit_resolution,[status(thm)],[5833, 532, 5776, 5827])).
% 47.97/30.48 tff(5835,plain,
% 47.97/30.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1)))),
% 47.97/30.48 inference(rewrite,[status(thm)],[])).
% 47.97/30.48 tff(5836,plain,
% 47.97/30.48 (((~nextState(constB36, constB37)) | v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1))) <=> (v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1)))),
% 47.97/30.48 inference(rewrite,[status(thm)],[])).
% 47.97/30.48 tff(5837,plain,
% 47.97/30.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1))))),
% 47.97/30.48 inference(monotonicity,[status(thm)],[5836])).
% 47.97/30.48 tff(5838,plain,
% 47.97/30.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1)))),
% 47.97/30.48 inference(transitivity,[status(thm)],[5837, 5835])).
% 47.97/30.48 tff(5839,plain,
% 47.97/30.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1)))),
% 47.97/30.48 inference(quant_inst,[status(thm)],[])).
% 47.97/30.48 tff(5840,plain,
% 47.97/30.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1))),
% 47.97/30.48 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 47.97/30.48 tff(5841,plain,
% 47.97/30.48 (v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1))),
% 47.97/30.48 inference(unit_resolution,[status(thm)],[5840, 163, 5786])).
% 47.97/30.48 tff(5842,plain,
% 47.97/30.48 (v84(constB36, bitIndex1) | (~v84(constB37, bitIndex1))),
% 47.97/30.48 inference(unit_resolution,[status(thm)],[5841, 5798])).
% 47.97/30.48 tff(5843,plain,
% 47.97/30.48 (~v84(constB37, bitIndex1)),
% 47.97/30.48 inference(unit_resolution,[status(thm)],[5842, 5834])).
% 47.97/30.48 tff(5844,plain,
% 47.97/30.48 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 47.97/30.48 inference(rewrite,[status(thm)],[])).
% 47.97/30.48 tff(5845,plain,
% 47.97/30.48 ((v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | v124(constB35, bitIndex0)) <=> (v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 47.97/30.48 inference(rewrite,[status(thm)],[])).
% 47.97/30.48 tff(5846,plain,
% 47.97/30.48 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | v124(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)))),
% 47.97/30.48 inference(monotonicity,[status(thm)],[5845])).
% 47.97/30.48 tff(5847,plain,
% 47.97/30.48 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | v124(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 47.97/30.48 inference(transitivity,[status(thm)],[5846, 5844])).
% 47.97/30.48 tff(5848,plain,
% 47.97/30.48 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | v124(constB35, bitIndex0))),
% 47.97/30.48 inference(quant_inst,[status(thm)],[])).
% 47.97/30.48 tff(5849,plain,
% 47.97/30.48 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)),
% 47.97/30.48 inference(modus_ponens,[status(thm)],[5848, 5847])).
% 47.97/30.48 tff(5850,plain,
% 47.97/30.48 (v124(constB35, bitIndex0)),
% 47.97/30.48 inference(unit_resolution,[status(thm)],[5849, 1374, 5644, 5640, 5636, 5632, 5597, 5593])).
% 47.97/30.48 tff(5851,plain,
% 47.97/30.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB35) | (~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB35) | (~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0))),
% 47.97/30.48 inference(rewrite,[status(thm)],[])).
% 47.97/30.48 tff(5852,plain,
% 47.97/30.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB35) | (~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0))),
% 47.97/30.48 inference(quant_inst,[status(thm)],[])).
% 47.97/30.48 tff(5853,plain,
% 47.97/30.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB35) | (~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0)),
% 47.97/30.48 inference(modus_ponens,[status(thm)],[5852, 5851])).
% 47.97/30.48 tff(5854,plain,
% 47.97/30.48 ((~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0)),
% 47.97/30.48 inference(unit_resolution,[status(thm)],[5853, 1391, 5655])).
% 47.97/30.48 tff(5855,plain,
% 47.97/30.48 (v121(constB35, bitIndex0)),
% 47.97/30.48 inference(unit_resolution,[status(thm)],[5854, 5850])).
% 47.97/30.49 tff(5856,plain,
% 47.97/30.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v121(constB35, bitIndex0)) | v123(constB36, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB35, constB36)) | (~v121(constB35, bitIndex0)) | v123(constB36, bitIndex0))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5857,plain,
% 47.97/30.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v121(constB35, bitIndex0)) | v123(constB36, bitIndex0))),
% 47.97/30.49 inference(quant_inst,[status(thm)],[])).
% 47.97/30.49 tff(5858,plain,
% 47.97/30.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB35, constB36)) | (~v121(constB35, bitIndex0)) | v123(constB36, bitIndex0)),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5857, 5856])).
% 47.97/30.49 tff(5859,plain,
% 47.97/30.49 ((~v121(constB35, bitIndex0)) | v123(constB36, bitIndex0)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5858, 1406, 5666])).
% 47.97/30.49 tff(5860,plain,
% 47.97/30.49 (v123(constB36, bitIndex0)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5859, 5855])).
% 47.97/30.49 tff(5861,plain,
% 47.97/30.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~v123(constB36, bitIndex0)) | (~v94(constB36)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB36, bitIndex0) | (~v123(constB36, bitIndex0)) | (~v94(constB36)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5862,plain,
% 47.97/30.49 ((v84(constB36, bitIndex0) | (~v94(constB36)) | (~v123(constB36, bitIndex0))) <=> (v84(constB36, bitIndex0) | (~v123(constB36, bitIndex0)) | (~v94(constB36)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5863,plain,
% 47.97/30.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~v94(constB36)) | (~v123(constB36, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~v123(constB36, bitIndex0)) | (~v94(constB36))))),
% 47.97/30.49 inference(monotonicity,[status(thm)],[5862])).
% 47.97/30.49 tff(5864,plain,
% 47.97/30.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~v94(constB36)) | (~v123(constB36, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB36, bitIndex0) | (~v123(constB36, bitIndex0)) | (~v94(constB36)))),
% 47.97/30.49 inference(transitivity,[status(thm)],[5863, 5861])).
% 47.97/30.49 tff(5865,plain,
% 47.97/30.49 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~v94(constB36)) | (~v123(constB36, bitIndex0)))),
% 47.97/30.49 inference(quant_inst,[status(thm)],[])).
% 47.97/30.49 tff(5866,plain,
% 47.97/30.49 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB36, bitIndex0) | (~v123(constB36, bitIndex0)) | (~v94(constB36))),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5865, 5864])).
% 47.97/30.49 tff(5867,plain,
% 47.97/30.49 (v84(constB36, bitIndex0)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5866, 1421, 5776, 5860])).
% 47.97/30.49 tff(5868,plain,
% 47.97/30.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex0))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5869,plain,
% 47.97/30.49 (((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex0)) | v94(constB37) | v84(constB37, bitIndex0)) <=> ((~v84(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex0))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5870,plain,
% 47.97/30.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex0)) | v94(constB37) | v84(constB37, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex0)))),
% 47.97/30.49 inference(monotonicity,[status(thm)],[5869])).
% 47.97/30.49 tff(5871,plain,
% 47.97/30.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex0)) | v94(constB37) | v84(constB37, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex0))),
% 47.97/30.49 inference(transitivity,[status(thm)],[5870, 5868])).
% 47.97/30.49 tff(5872,plain,
% 47.97/30.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex0)) | v94(constB37) | v84(constB37, bitIndex0))),
% 47.97/30.49 inference(quant_inst,[status(thm)],[])).
% 47.97/30.49 tff(5873,plain,
% 47.97/30.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex0)),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 47.97/30.49 tff(5874,plain,
% 47.97/30.49 ((~v84(constB36, bitIndex0)) | v94(constB37) | v84(constB37, bitIndex0)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5873, 1439, 5786])).
% 47.97/30.49 tff(5875,plain,
% 47.97/30.49 ((~v84(constB36, bitIndex0)) | v84(constB37, bitIndex0)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5874, 5798])).
% 47.97/30.49 tff(5876,plain,
% 47.97/30.49 (v84(constB37, bitIndex0)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5875, 5867])).
% 47.97/30.49 tff(5877,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB37, bitIndex0)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2) | v145(constB37))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB37, bitIndex0)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2) | v145(constB37))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5878,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB37, bitIndex0)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2) | v145(constB37))),
% 47.97/30.49 inference(quant_inst,[status(thm)],[])).
% 47.97/30.49 tff(5879,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB37, bitIndex0)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2) | v145(constB37)),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5878, 5877])).
% 47.97/30.49 tff(5880,plain,
% 47.97/30.49 (v145(constB37)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5879, 1268, 5876, 5843, 5807])).
% 47.97/30.49 tff(5881,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB37) | (~v145(constB37)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB37) | (~v145(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5882,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB37) | (~v145(constB37)))),
% 47.97/30.49 inference(quant_inst,[status(thm)],[])).
% 47.97/30.49 tff(5883,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB37) | (~v145(constB37))),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5882, 5881])).
% 47.97/30.49 tff(5884,plain,
% 47.97/30.49 (v112(constB37)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5883, 1253, 5880])).
% 47.97/30.49 tff(5885,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB37) | (~v112(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5886,plain,
% 47.97/30.49 (((~v112(constB37)) | v111(constB37)) <=> (v111(constB37) | (~v112(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5887,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB37)) | v111(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB37) | (~v112(constB37))))),
% 47.97/30.49 inference(monotonicity,[status(thm)],[5886])).
% 47.97/30.49 tff(5888,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB37)) | v111(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB37) | (~v112(constB37)))),
% 47.97/30.49 inference(transitivity,[status(thm)],[5887, 5885])).
% 47.97/30.49 tff(5889,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB37)) | v111(constB37))),
% 47.97/30.49 inference(quant_inst,[status(thm)],[])).
% 47.97/30.49 tff(5890,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB37) | (~v112(constB37))),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5889, 5888])).
% 47.97/30.49 tff(5891,plain,
% 47.97/30.49 (v111(constB37)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5890, 278, 5884])).
% 47.97/30.49 tff(5892,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB37) | (~v111(constB37)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB37) | (~v111(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5893,plain,
% 47.97/30.49 (((~v111(constB37)) | v110(constB37)) <=> (v110(constB37) | (~v111(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5894,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB37)) | v110(constB37))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB37) | (~v111(constB37))))),
% 47.97/30.49 inference(monotonicity,[status(thm)],[5893])).
% 47.97/30.49 tff(5895,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB37)) | v110(constB37))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB37) | (~v111(constB37)))),
% 47.97/30.49 inference(transitivity,[status(thm)],[5894, 5892])).
% 47.97/30.49 tff(5896,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB37)) | v110(constB37))),
% 47.97/30.49 inference(quant_inst,[status(thm)],[])).
% 47.97/30.49 tff(5897,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB37) | (~v111(constB37))),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 47.97/30.49 tff(5898,plain,
% 47.97/30.49 (v110(constB37)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5897, 292, 5891])).
% 47.97/30.49 tff(5899,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB37)) | v109(constB37))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB37)) | v109(constB37))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5900,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB37)) | v109(constB37))),
% 47.97/30.49 inference(quant_inst,[status(thm)],[])).
% 47.97/30.49 tff(5901,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB37)) | v109(constB37)),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 47.97/30.49 tff(5902,plain,
% 47.97/30.49 (v109(constB37)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5901, 306, 5898])).
% 47.97/30.49 tff(5903,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v109(constB37)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v109(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5904,plain,
% 47.97/30.49 (((~v109(constB37)) | v108(constB37)) <=> (v108(constB37) | (~v109(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5905,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v109(constB37))))),
% 47.97/30.49 inference(monotonicity,[status(thm)],[5904])).
% 47.97/30.49 tff(5906,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v109(constB37)))),
% 47.97/30.49 inference(transitivity,[status(thm)],[5905, 5903])).
% 47.97/30.49 tff(5907,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB37)) | v108(constB37))),
% 47.97/30.49 inference(quant_inst,[status(thm)],[])).
% 47.97/30.49 tff(5908,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v109(constB37))),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5907, 5906])).
% 47.97/30.49 tff(5909,plain,
% 47.97/30.49 (v108(constB37)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5908, 320, 5902])).
% 47.97/30.49 tff(5910,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB37) | (~v108(constB37)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB37) | (~v108(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5911,plain,
% 47.97/30.49 (((~v108(constB37)) | v107(constB37)) <=> (v107(constB37) | (~v108(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5912,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB37)) | v107(constB37))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB37) | (~v108(constB37))))),
% 47.97/30.49 inference(monotonicity,[status(thm)],[5911])).
% 47.97/30.49 tff(5913,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB37)) | v107(constB37))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB37) | (~v108(constB37)))),
% 47.97/30.49 inference(transitivity,[status(thm)],[5912, 5910])).
% 47.97/30.49 tff(5914,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB37)) | v107(constB37))),
% 47.97/30.49 inference(quant_inst,[status(thm)],[])).
% 47.97/30.49 tff(5915,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB37) | (~v108(constB37))),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5914, 5913])).
% 47.97/30.49 tff(5916,plain,
% 47.97/30.49 (v107(constB37)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5915, 334, 5909])).
% 47.97/30.49 tff(5917,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | v106(constB37) | (~v107(constB37)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB37) | v106(constB37) | (~v107(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5918,plain,
% 47.97/30.49 ((v26(constB37) | (~v107(constB37)) | v106(constB37)) <=> (v26(constB37) | v106(constB37) | (~v107(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5919,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | (~v107(constB37)) | v106(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | v106(constB37) | (~v107(constB37))))),
% 47.97/30.49 inference(monotonicity,[status(thm)],[5918])).
% 47.97/30.49 tff(5920,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | (~v107(constB37)) | v106(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB37) | v106(constB37) | (~v107(constB37)))),
% 47.97/30.49 inference(transitivity,[status(thm)],[5919, 5917])).
% 47.97/30.49 tff(5921,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | (~v107(constB37)) | v106(constB37))),
% 47.97/30.49 inference(quant_inst,[status(thm)],[])).
% 47.97/30.49 tff(5922,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB37) | v106(constB37) | (~v107(constB37))),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5921, 5920])).
% 47.97/30.49 tff(5923,plain,
% 47.97/30.49 (v26(constB37) | v106(constB37)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5922, 348, 5916])).
% 47.97/30.49 tff(5924,plain,
% 47.97/30.49 (v106(constB37)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5923, 62])).
% 47.97/30.49 tff(5925,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB37) | (~v106(constB37)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB37) | (~v106(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5926,plain,
% 47.97/30.49 (((~v106(constB37)) | v102(constB37)) <=> (v102(constB37) | (~v106(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5927,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB37)) | v102(constB37))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB37) | (~v106(constB37))))),
% 47.97/30.49 inference(monotonicity,[status(thm)],[5926])).
% 47.97/30.49 tff(5928,plain,
% 47.97/30.49 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB37)) | v102(constB37))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB37) | (~v106(constB37)))),
% 47.97/30.49 inference(transitivity,[status(thm)],[5927, 5925])).
% 47.97/30.49 tff(5929,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB37)) | v102(constB37))),
% 47.97/30.49 inference(quant_inst,[status(thm)],[])).
% 47.97/30.49 tff(5930,plain,
% 47.97/30.49 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB37) | (~v106(constB37))),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5929, 5928])).
% 47.97/30.49 tff(5931,plain,
% 47.97/30.49 (v102(constB37)),
% 47.97/30.49 inference(unit_resolution,[status(thm)],[5930, 504, 5924])).
% 47.97/30.49 tff(5932,plain,
% 47.97/30.49 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5933,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 47.97/30.49 tff(5934,plain,
% 47.97/30.49 (nextState(constB37, constB38)),
% 47.97/30.49 inference(modus_ponens,[status(thm)],[5933, 5932])).
% 47.97/30.49 tff(5935,plain,
% 47.97/30.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))),
% 47.97/30.49 inference(rewrite,[status(thm)],[])).
% 47.97/30.49 tff(5936,plain,
% 47.97/30.49 (((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38)) <=> ((~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))),
% 47.97/30.50 inference(rewrite,[status(thm)],[])).
% 47.97/30.50 tff(5937,plain,
% 47.97/30.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37))))),
% 47.97/30.50 inference(monotonicity,[status(thm)],[5936])).
% 47.97/30.50 tff(5938,plain,
% 47.97/30.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))),
% 47.97/30.50 inference(transitivity,[status(thm)],[5937, 5935])).
% 47.97/30.50 tff(5939,plain,
% 47.97/30.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38))),
% 47.97/30.50 inference(quant_inst,[status(thm)],[])).
% 47.97/30.50 tff(5940,plain,
% 47.97/30.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37))),
% 47.97/30.50 inference(modus_ponens,[status(thm)],[5939, 5938])).
% 47.97/30.50 tff(5941,plain,
% 47.97/30.50 (v104(constB38) | (~v102(constB37))),
% 47.97/30.50 inference(unit_resolution,[status(thm)],[5940, 489, 5934])).
% 47.97/30.50 tff(5942,plain,
% 47.97/30.50 (v104(constB38)),
% 47.97/30.50 inference(unit_resolution,[status(thm)],[5941, 5931])).
% 47.97/30.50 tff(5943,plain,
% 47.97/30.50 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38)))),
% 47.97/30.50 inference(rewrite,[status(thm)],[])).
% 47.97/30.50 tff(5944,plain,
% 47.97/30.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38)))),
% 47.97/30.50 inference(quant_inst,[status(thm)],[])).
% 47.97/30.50 tff(5945,plain,
% 47.97/30.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38))),
% 47.97/30.50 inference(modus_ponens,[status(thm)],[5944, 5943])).
% 47.97/30.50 tff(5946,plain,
% 47.97/30.50 (~v98(constB38)),
% 47.97/30.50 inference(unit_resolution,[status(thm)],[5945, 423, 5934, 5783])).
% 47.97/30.50 tff(5947,plain,
% 47.97/30.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB37, constB38)) | v96(constB38) | v98(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB37, constB38)) | v96(constB38) | v98(constB38))),
% 47.97/30.50 inference(rewrite,[status(thm)],[])).
% 47.97/30.50 tff(5948,plain,
% 47.97/30.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB37, constB38)) | v96(constB38) | v98(constB38))),
% 47.97/30.50 inference(quant_inst,[status(thm)],[])).
% 47.97/30.50 tff(5949,plain,
% 47.97/30.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB37, constB38)) | v96(constB38) | v98(constB38)),
% 47.97/30.50 inference(modus_ponens,[status(thm)],[5948, 5947])).
% 47.97/30.50 tff(5950,plain,
% 47.97/30.50 (v96(constB38) | v98(constB38)),
% 47.97/30.50 inference(unit_resolution,[status(thm)],[5949, 437, 5934])).
% 47.97/30.50 tff(5951,plain,
% 47.97/30.50 (v96(constB38)),
% 47.97/30.50 inference(unit_resolution,[status(thm)],[5950, 5946])).
% 47.97/30.50 tff(5952,plain,
% 47.97/30.50 (v1(constB38) <=> v1(constB38)),
% 47.97/30.50 inference(rewrite,[status(thm)],[])).
% 47.97/30.50 tff(5953,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 47.97/30.50 tff(5954,plain,
% 47.97/30.50 (v1(constB38)),
% 47.97/30.50 inference(modus_ponens,[status(thm)],[5953, 5952])).
% 47.97/30.50 tff(5955,plain,
% 47.97/30.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38)))),
% 47.97/30.50 inference(rewrite,[status(thm)],[])).
% 47.97/30.50 tff(5956,plain,
% 47.97/30.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38)))),
% 47.97/30.50 inference(quant_inst,[status(thm)],[])).
% 47.97/30.50 tff(5957,plain,
% 47.97/30.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38))),
% 47.97/30.50 inference(modus_ponens,[status(thm)],[5956, 5955])).
% 47.97/30.50 tff(5958,plain,
% 47.97/30.50 (v95(constB38) | (~v96(constB38))),
% 47.97/30.50 inference(unit_resolution,[status(thm)],[5957, 455, 5934, 5954])).
% 47.97/30.50 tff(5959,plain,
% 47.97/30.50 (v95(constB38)),
% 47.97/30.50 inference(unit_resolution,[status(thm)],[5958, 5951])).
% 47.97/30.50 tff(5960,plain,
% 47.97/30.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))),
% 47.97/30.50 inference(rewrite,[status(thm)],[])).
% 47.97/30.50 tff(5961,plain,
% 47.97/30.50 (((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38)) <=> ((~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))),
% 47.97/30.50 inference(rewrite,[status(thm)],[])).
% 47.97/30.50 tff(5962,plain,
% 47.97/30.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38))))),
% 47.97/30.50 inference(monotonicity,[status(thm)],[5961])).
% 47.97/30.50 tff(5963,plain,
% 47.97/30.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))),
% 47.97/30.50 inference(transitivity,[status(thm)],[5962, 5960])).
% 47.97/30.50 tff(5964,plain,
% 47.97/30.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38))),
% 47.97/30.50 inference(quant_inst,[status(thm)],[])).
% 47.97/30.50 tff(5965,plain,
% 47.97/30.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38))),
% 47.97/30.50 inference(modus_ponens,[status(thm)],[5964, 5963])).
% 47.97/30.50 tff(5966,plain,
% 47.97/30.50 (v94(constB38) | (~v95(constB38)) | (~v104(constB38))),
% 48.06/30.50 inference(unit_resolution,[status(thm)],[5965, 470, 5934])).
% 48.06/30.50 tff(5967,plain,
% 48.06/30.50 (v94(constB38) | (~v104(constB38))),
% 48.06/30.50 inference(unit_resolution,[status(thm)],[5966, 5959])).
% 48.06/30.50 tff(5968,plain,
% 48.06/30.50 (v94(constB38)),
% 48.06/30.50 inference(unit_resolution,[status(thm)],[5967, 5942])).
% 48.06/30.50 tff(5969,plain,
% 48.06/30.50 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB37)) | (~v124(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB37)) | (~v124(constB37, bitIndex2)))),
% 48.06/30.50 inference(rewrite,[status(thm)],[])).
% 48.06/30.50 tff(5970,plain,
% 48.06/30.50 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB37)) | (~v124(constB37, bitIndex2)))),
% 48.06/30.50 inference(quant_inst,[status(thm)],[])).
% 48.06/30.50 tff(5971,plain,
% 48.06/30.50 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB37)) | (~v124(constB37, bitIndex2))),
% 48.06/30.50 inference(modus_ponens,[status(thm)],[5970, 5969])).
% 48.06/30.50 tff(5972,plain,
% 48.06/30.50 (~v124(constB37, bitIndex2)),
% 48.06/30.50 inference(unit_resolution,[status(thm)],[5971, 1456, 5880])).
% 48.06/30.50 tff(5973,plain,
% 48.06/30.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))),
% 48.06/30.50 inference(rewrite,[status(thm)],[])).
% 48.06/30.50 tff(5974,plain,
% 48.06/30.50 ((v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2))) <=> ((~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))),
% 48.06/30.50 inference(rewrite,[status(thm)],[])).
% 48.06/30.50 tff(5975,plain,
% 48.06/30.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2)))),
% 48.06/30.50 inference(monotonicity,[status(thm)],[5974])).
% 48.06/30.50 tff(5976,plain,
% 48.06/30.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))),
% 48.06/30.50 inference(transitivity,[status(thm)],[5975, 5973])).
% 48.06/30.50 tff(5977,plain,
% 48.06/30.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2)))),
% 48.06/30.50 inference(quant_inst,[status(thm)],[])).
% 48.06/30.50 tff(5978,plain,
% 48.06/30.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2)),
% 48.06/30.50 inference(modus_ponens,[status(thm)],[5977, 5976])).
% 48.06/30.50 tff(5979,plain,
% 48.06/30.50 ((~v121(constB37, bitIndex2)) | v26(constB37)),
% 48.06/30.50 inference(unit_resolution,[status(thm)],[5978, 1187, 5972])).
% 48.06/30.50 tff(5980,plain,
% 48.06/30.50 (~v121(constB37, bitIndex2)),
% 48.06/30.50 inference(unit_resolution,[status(thm)],[5979, 62])).
% 48.06/30.50 tff(5981,plain,
% 48.06/30.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2)))),
% 48.06/30.50 inference(rewrite,[status(thm)],[])).
% 48.06/30.50 tff(5982,plain,
% 48.06/30.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2)))),
% 48.06/30.50 inference(quant_inst,[status(thm)],[])).
% 48.06/30.50 tff(5983,plain,
% 48.06/30.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2))),
% 48.06/30.50 inference(modus_ponens,[status(thm)],[5982, 5981])).
% 48.06/30.50 tff(5984,plain,
% 48.06/30.50 (v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2))),
% 48.06/30.50 inference(unit_resolution,[status(thm)],[5983, 1205, 5934])).
% 48.06/30.50 tff(5985,plain,
% 48.06/30.50 (~v123(constB38, bitIndex2)),
% 48.06/30.50 inference(unit_resolution,[status(thm)],[5984, 5980])).
% 48.06/30.50 tff(5986,plain,
% 48.06/30.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))),
% 48.06/30.50 inference(rewrite,[status(thm)],[])).
% 48.06/30.50 tff(5987,plain,
% 48.06/30.50 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))),
% 48.06/30.50 inference(quant_inst,[status(thm)],[])).
% 48.06/30.50 tff(5988,plain,
% 48.06/30.50 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38))),
% 48.06/30.50 inference(modus_ponens,[status(thm)],[5987, 5986])).
% 48.06/30.50 tff(5989,plain,
% 48.06/30.50 ((~v84(constB38, bitIndex2)) | (~v94(constB38))),
% 48.06/30.50 inference(unit_resolution,[status(thm)],[5988, 1220, 5985])).
% 48.06/30.50 tff(5990,plain,
% 48.06/30.50 (~v84(constB38, bitIndex2)),
% 48.06/30.50 inference(unit_resolution,[status(thm)],[5989, 5968])).
% 48.06/30.50 tff(5991,plain,
% 48.06/30.50 ((~v1(constB39)) <=> (~v1(constB39))),
% 48.06/30.50 inference(rewrite,[status(thm)],[])).
% 48.06/30.50 tff(5992,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 48.06/30.50 tff(5993,plain,
% 48.06/30.50 (~v1(constB39)),
% 48.06/30.50 inference(modus_ponens,[status(thm)],[5992, 5991])).
% 48.06/30.50 tff(5994,plain,
% 48.06/30.50 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 48.06/30.50 inference(rewrite,[status(thm)],[])).
% 48.06/30.50 tff(5995,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 48.06/30.50 tff(5996,plain,
% 48.06/30.50 (nextState(constB38, constB39)),
% 48.06/30.50 inference(modus_ponens,[status(thm)],[5995, 5994])).
% 48.06/30.50 tff(5997,plain,
% 48.06/30.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))),
% 48.06/30.50 inference(rewrite,[status(thm)],[])).
% 48.06/30.50 tff(5998,plain,
% 48.06/30.50 (((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))),
% 48.06/30.50 inference(rewrite,[status(thm)],[])).
% 48.06/30.50 tff(5999,plain,
% 48.06/30.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39))))),
% 48.06/30.50 inference(monotonicity,[status(thm)],[5998])).
% 48.06/30.50 tff(6000,plain,
% 48.06/30.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))),
% 48.06/30.50 inference(transitivity,[status(thm)],[5999, 5997])).
% 48.06/30.51 tff(6001,plain,
% 48.06/30.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39))),
% 48.06/30.51 inference(quant_inst,[status(thm)],[])).
% 48.06/30.51 tff(6002,plain,
% 48.06/30.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39))),
% 48.06/30.51 inference(modus_ponens,[status(thm)],[6001, 6000])).
% 48.06/30.51 tff(6003,plain,
% 48.06/30.51 (~v95(constB39)),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6002, 110, 5996, 5993])).
% 48.06/30.51 tff(6004,plain,
% 48.06/30.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39)))),
% 48.06/30.51 inference(rewrite,[status(thm)],[])).
% 48.06/30.51 tff(6005,plain,
% 48.06/30.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39)))),
% 48.06/30.51 inference(quant_inst,[status(thm)],[])).
% 48.06/30.51 tff(6006,plain,
% 48.06/30.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39))),
% 48.06/30.51 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 48.06/30.51 tff(6007,plain,
% 48.06/30.51 (v95(constB39) | (~v94(constB39))),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6006, 127, 5996])).
% 48.06/30.51 tff(6008,plain,
% 48.06/30.51 (~v94(constB39)),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6007, 6003])).
% 48.06/30.51 tff(6009,plain,
% 48.06/30.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 48.06/30.51 inference(rewrite,[status(thm)],[])).
% 48.06/30.51 tff(6010,plain,
% 48.06/30.51 (((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2))) <=> (v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 48.06/30.51 inference(rewrite,[status(thm)],[])).
% 48.06/30.51 tff(6011,plain,
% 48.06/30.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2))))),
% 48.06/30.51 inference(monotonicity,[status(thm)],[6010])).
% 48.06/30.51 tff(6012,plain,
% 48.06/30.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 48.06/30.51 inference(transitivity,[status(thm)],[6011, 6009])).
% 48.06/30.51 tff(6013,plain,
% 48.06/30.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 48.06/30.51 inference(quant_inst,[status(thm)],[])).
% 48.06/30.51 tff(6014,plain,
% 48.06/30.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2))),
% 48.06/30.51 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 48.06/30.51 tff(6015,plain,
% 48.06/30.51 (v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2))),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6014, 142, 5996])).
% 48.06/30.51 tff(6016,plain,
% 48.06/30.51 (v84(constB38, bitIndex2) | (~v84(constB39, bitIndex2))),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6015, 6008])).
% 48.06/30.51 tff(6017,plain,
% 48.06/30.51 (~v84(constB39, bitIndex2)),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6016, 5990])).
% 48.06/30.51 tff(6018,plain,
% 48.06/30.51 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB37)) | v124(constB37, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB37)) | v124(constB37, bitIndex1))),
% 48.06/30.51 inference(rewrite,[status(thm)],[])).
% 48.06/30.51 tff(6019,plain,
% 48.06/30.51 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB37)) | v124(constB37, bitIndex1))),
% 48.06/30.51 inference(quant_inst,[status(thm)],[])).
% 48.06/30.51 tff(6020,plain,
% 48.06/30.51 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB37)) | v124(constB37, bitIndex1)),
% 48.06/30.51 inference(modus_ponens,[status(thm)],[6019, 6018])).
% 48.06/30.51 tff(6021,plain,
% 48.06/30.51 (v124(constB37, bitIndex1)),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6020, 1512, 5880])).
% 48.06/30.51 tff(6022,plain,
% 48.06/30.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB37) | (~v124(constB37, bitIndex1)) | v121(constB37, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB37) | (~v124(constB37, bitIndex1)) | v121(constB37, bitIndex1))),
% 48.06/30.51 inference(rewrite,[status(thm)],[])).
% 48.06/30.51 tff(6023,plain,
% 48.06/30.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB37) | (~v124(constB37, bitIndex1)) | v121(constB37, bitIndex1))),
% 48.06/30.51 inference(quant_inst,[status(thm)],[])).
% 48.06/30.51 tff(6024,plain,
% 48.06/30.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB37) | (~v124(constB37, bitIndex1)) | v121(constB37, bitIndex1)),
% 48.06/30.51 inference(modus_ponens,[status(thm)],[6023, 6022])).
% 48.06/30.51 tff(6025,plain,
% 48.06/30.51 (v26(constB37) | v121(constB37, bitIndex1)),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6024, 857, 6021])).
% 48.06/30.51 tff(6026,plain,
% 48.06/30.51 (v121(constB37, bitIndex1)),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6025, 62])).
% 48.06/30.51 tff(6027,plain,
% 48.06/30.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v121(constB37, bitIndex1)) | v123(constB38, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB37, constB38)) | (~v121(constB37, bitIndex1)) | v123(constB38, bitIndex1))),
% 48.06/30.51 inference(rewrite,[status(thm)],[])).
% 48.06/30.51 tff(6028,plain,
% 48.06/30.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v121(constB37, bitIndex1)) | v123(constB38, bitIndex1))),
% 48.06/30.51 inference(quant_inst,[status(thm)],[])).
% 48.06/30.51 tff(6029,plain,
% 48.06/30.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB37, constB38)) | (~v121(constB37, bitIndex1)) | v123(constB38, bitIndex1)),
% 48.06/30.51 inference(modus_ponens,[status(thm)],[6028, 6027])).
% 48.06/30.51 tff(6030,plain,
% 48.06/30.51 ((~v121(constB37, bitIndex1)) | v123(constB38, bitIndex1)),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6029, 872, 5934])).
% 48.06/30.51 tff(6031,plain,
% 48.06/30.51 (v123(constB38, bitIndex1)),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6030, 6026])).
% 48.06/30.51 tff(6032,plain,
% 48.06/30.51 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~v123(constB38, bitIndex1)) | (~v94(constB38)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB38, bitIndex1) | (~v123(constB38, bitIndex1)) | (~v94(constB38)))),
% 48.06/30.51 inference(rewrite,[status(thm)],[])).
% 48.06/30.51 tff(6033,plain,
% 48.06/30.51 ((v84(constB38, bitIndex1) | (~v94(constB38)) | (~v123(constB38, bitIndex1))) <=> (v84(constB38, bitIndex1) | (~v123(constB38, bitIndex1)) | (~v94(constB38)))),
% 48.06/30.51 inference(rewrite,[status(thm)],[])).
% 48.06/30.51 tff(6034,plain,
% 48.06/30.51 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~v94(constB38)) | (~v123(constB38, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~v123(constB38, bitIndex1)) | (~v94(constB38))))),
% 48.06/30.51 inference(monotonicity,[status(thm)],[6033])).
% 48.06/30.51 tff(6035,plain,
% 48.06/30.51 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~v94(constB38)) | (~v123(constB38, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB38, bitIndex1) | (~v123(constB38, bitIndex1)) | (~v94(constB38)))),
% 48.06/30.51 inference(transitivity,[status(thm)],[6034, 6032])).
% 48.06/30.51 tff(6036,plain,
% 48.06/30.51 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~v94(constB38)) | (~v123(constB38, bitIndex1)))),
% 48.06/30.51 inference(quant_inst,[status(thm)],[])).
% 48.06/30.51 tff(6037,plain,
% 48.06/30.51 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB38, bitIndex1) | (~v123(constB38, bitIndex1)) | (~v94(constB38))),
% 48.06/30.51 inference(modus_ponens,[status(thm)],[6036, 6035])).
% 48.06/30.51 tff(6038,plain,
% 48.06/30.51 (v84(constB38, bitIndex1) | (~v94(constB38))),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6037, 887, 6031])).
% 48.06/30.51 tff(6039,plain,
% 48.06/30.51 (v84(constB38, bitIndex1)),
% 48.06/30.51 inference(unit_resolution,[status(thm)],[6038, 5968])).
% 48.06/30.51 tff(6040,plain,
% 48.06/30.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex1))),
% 48.06/30.51 inference(rewrite,[status(thm)],[])).
% 48.06/30.51 tff(6041,plain,
% 48.06/30.51 (((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex1)) | v94(constB39) | v84(constB39, bitIndex1)) <=> ((~v84(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex1))),
% 48.06/30.51 inference(rewrite,[status(thm)],[])).
% 48.06/30.51 tff(6042,plain,
% 48.06/30.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex1)) | v94(constB39) | v84(constB39, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex1)))),
% 48.06/30.51 inference(monotonicity,[status(thm)],[6041])).
% 48.06/30.51 tff(6043,plain,
% 48.06/30.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex1)) | v94(constB39) | v84(constB39, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex1))),
% 48.06/30.52 inference(transitivity,[status(thm)],[6042, 6040])).
% 48.06/30.52 tff(6044,plain,
% 48.06/30.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex1)) | v94(constB39) | v84(constB39, bitIndex1))),
% 48.06/30.52 inference(quant_inst,[status(thm)],[])).
% 48.06/30.52 tff(6045,plain,
% 48.06/30.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex1)),
% 48.06/30.52 inference(modus_ponens,[status(thm)],[6044, 6043])).
% 48.06/30.52 tff(6046,plain,
% 48.06/30.52 ((~v84(constB38, bitIndex1)) | v94(constB39) | v84(constB39, bitIndex1)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6045, 905, 5996])).
% 48.06/30.52 tff(6047,plain,
% 48.06/30.52 ((~v84(constB38, bitIndex1)) | v84(constB39, bitIndex1)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6046, 6008])).
% 48.06/30.52 tff(6048,plain,
% 48.06/30.52 (v84(constB39, bitIndex1)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6047, 6039])).
% 48.06/30.52 tff(6049,plain,
% 48.06/30.52 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB37)) | (~v124(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB37)) | (~v124(constB37, bitIndex0)))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6050,plain,
% 48.06/30.52 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB37)) | (~v124(constB37, bitIndex0)))),
% 48.06/30.52 inference(quant_inst,[status(thm)],[])).
% 48.06/30.52 tff(6051,plain,
% 48.06/30.52 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB37)) | (~v124(constB37, bitIndex0))),
% 48.06/30.52 inference(modus_ponens,[status(thm)],[6050, 6049])).
% 48.06/30.52 tff(6052,plain,
% 48.06/30.52 (~v124(constB37, bitIndex0)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6051, 1550, 5880])).
% 48.06/30.52 tff(6053,plain,
% 48.06/30.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB37, bitIndex0)) | v26(constB37) | v124(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB37, bitIndex0)) | v26(constB37) | v124(constB37, bitIndex0))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6054,plain,
% 48.06/30.52 ((v26(constB37) | v124(constB37, bitIndex0) | (~v121(constB37, bitIndex0))) <=> ((~v121(constB37, bitIndex0)) | v26(constB37) | v124(constB37, bitIndex0))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6055,plain,
% 48.06/30.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB37) | v124(constB37, bitIndex0) | (~v121(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB37, bitIndex0)) | v26(constB37) | v124(constB37, bitIndex0)))),
% 48.06/30.52 inference(monotonicity,[status(thm)],[6054])).
% 48.06/30.52 tff(6056,plain,
% 48.06/30.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB37) | v124(constB37, bitIndex0) | (~v121(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB37, bitIndex0)) | v26(constB37) | v124(constB37, bitIndex0))),
% 48.06/30.52 inference(transitivity,[status(thm)],[6055, 6053])).
% 48.06/30.52 tff(6057,plain,
% 48.06/30.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB37) | v124(constB37, bitIndex0) | (~v121(constB37, bitIndex0)))),
% 48.06/30.52 inference(quant_inst,[status(thm)],[])).
% 48.06/30.52 tff(6058,plain,
% 48.06/30.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB37, bitIndex0)) | v26(constB37) | v124(constB37, bitIndex0)),
% 48.06/30.52 inference(modus_ponens,[status(thm)],[6057, 6056])).
% 48.06/30.52 tff(6059,plain,
% 48.06/30.52 ((~v121(constB37, bitIndex0)) | v26(constB37)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6058, 607, 6052])).
% 48.06/30.52 tff(6060,plain,
% 48.06/30.52 (~v121(constB37, bitIndex0)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6059, 62])).
% 48.06/30.52 tff(6061,plain,
% 48.06/30.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex0) | (~v123(constB38, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex0) | (~v123(constB38, bitIndex0)))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6062,plain,
% 48.06/30.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex0) | (~v123(constB38, bitIndex0)))),
% 48.06/30.52 inference(quant_inst,[status(thm)],[])).
% 48.06/30.52 tff(6063,plain,
% 48.06/30.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex0) | (~v123(constB38, bitIndex0))),
% 48.06/30.52 inference(modus_ponens,[status(thm)],[6062, 6061])).
% 48.06/30.52 tff(6064,plain,
% 48.06/30.52 (v121(constB37, bitIndex0) | (~v123(constB38, bitIndex0))),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6063, 637, 5934])).
% 48.06/30.52 tff(6065,plain,
% 48.06/30.52 (~v123(constB38, bitIndex0)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6064, 6060])).
% 48.06/30.52 tff(6066,plain,
% 48.06/30.52 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | v123(constB38, bitIndex0) | (~v94(constB38)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB38, bitIndex0)) | v123(constB38, bitIndex0) | (~v94(constB38)))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6067,plain,
% 48.06/30.52 (((~v84(constB38, bitIndex0)) | (~v94(constB38)) | v123(constB38, bitIndex0)) <=> ((~v84(constB38, bitIndex0)) | v123(constB38, bitIndex0) | (~v94(constB38)))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6068,plain,
% 48.06/30.52 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | (~v94(constB38)) | v123(constB38, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | v123(constB38, bitIndex0) | (~v94(constB38))))),
% 48.06/30.52 inference(monotonicity,[status(thm)],[6067])).
% 48.06/30.52 tff(6069,plain,
% 48.06/30.52 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | (~v94(constB38)) | v123(constB38, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB38, bitIndex0)) | v123(constB38, bitIndex0) | (~v94(constB38)))),
% 48.06/30.52 inference(transitivity,[status(thm)],[6068, 6066])).
% 48.06/30.52 tff(6070,plain,
% 48.06/30.52 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | (~v94(constB38)) | v123(constB38, bitIndex0))),
% 48.06/30.52 inference(quant_inst,[status(thm)],[])).
% 48.06/30.52 tff(6071,plain,
% 48.06/30.52 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB38, bitIndex0)) | v123(constB38, bitIndex0) | (~v94(constB38))),
% 48.06/30.52 inference(modus_ponens,[status(thm)],[6070, 6069])).
% 48.06/30.52 tff(6072,plain,
% 48.06/30.52 ((~v84(constB38, bitIndex0)) | (~v94(constB38))),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6071, 652, 6065])).
% 48.06/30.52 tff(6073,plain,
% 48.06/30.52 (~v84(constB38, bitIndex0)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6072, 5968])).
% 48.06/30.52 tff(6074,plain,
% 48.06/30.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex0)))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6075,plain,
% 48.06/30.52 (((~nextState(constB38, constB39)) | v84(constB38, bitIndex0) | v94(constB39) | (~v84(constB39, bitIndex0))) <=> (v84(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex0)))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6076,plain,
% 48.06/30.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex0) | v94(constB39) | (~v84(constB39, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex0))))),
% 48.06/30.52 inference(monotonicity,[status(thm)],[6075])).
% 48.06/30.52 tff(6077,plain,
% 48.06/30.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex0) | v94(constB39) | (~v84(constB39, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex0)))),
% 48.06/30.52 inference(transitivity,[status(thm)],[6076, 6074])).
% 48.06/30.52 tff(6078,plain,
% 48.06/30.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex0) | v94(constB39) | (~v84(constB39, bitIndex0)))),
% 48.06/30.52 inference(quant_inst,[status(thm)],[])).
% 48.06/30.52 tff(6079,plain,
% 48.06/30.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex0))),
% 48.06/30.52 inference(modus_ponens,[status(thm)],[6078, 6077])).
% 48.06/30.52 tff(6080,plain,
% 48.06/30.52 (v84(constB38, bitIndex0) | v94(constB39) | (~v84(constB39, bitIndex0))),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6079, 184, 5996])).
% 48.06/30.52 tff(6081,plain,
% 48.06/30.52 (v84(constB38, bitIndex0) | (~v84(constB39, bitIndex0))),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6080, 6008])).
% 48.06/30.52 tff(6082,plain,
% 48.06/30.52 (~v84(constB39, bitIndex0)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6081, 6073])).
% 48.06/30.52 tff(6083,plain,
% 48.06/30.52 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB39, bitIndex0) | (~v84(constB39, bitIndex1)) | v84(constB39, bitIndex2) | v115(constB39))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB39, bitIndex0) | (~v84(constB39, bitIndex1)) | v84(constB39, bitIndex2) | v115(constB39))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6084,plain,
% 48.06/30.52 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB39, bitIndex0) | (~v84(constB39, bitIndex1)) | v84(constB39, bitIndex2) | v115(constB39))),
% 48.06/30.52 inference(quant_inst,[status(thm)],[])).
% 48.06/30.52 tff(6085,plain,
% 48.06/30.52 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB39, bitIndex0) | (~v84(constB39, bitIndex1)) | v84(constB39, bitIndex2) | v115(constB39)),
% 48.06/30.52 inference(modus_ponens,[status(thm)],[6084, 6083])).
% 48.06/30.52 tff(6086,plain,
% 48.06/30.52 (v115(constB39)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6085, 1594, 6082, 6048, 6017])).
% 48.06/30.52 tff(6087,plain,
% 48.06/30.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB39)) | v111(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB39)) | v111(constB39))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6088,plain,
% 48.06/30.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB39)) | v111(constB39))),
% 48.06/30.52 inference(quant_inst,[status(thm)],[])).
% 48.06/30.52 tff(6089,plain,
% 48.06/30.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB39)) | v111(constB39)),
% 48.06/30.52 inference(modus_ponens,[status(thm)],[6088, 6087])).
% 48.06/30.52 tff(6090,plain,
% 48.06/30.52 (v111(constB39)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6089, 1605, 6086])).
% 48.06/30.52 tff(6091,plain,
% 48.06/30.52 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB39) | (~v111(constB39)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB39) | (~v111(constB39)))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6092,plain,
% 48.06/30.52 (((~v111(constB39)) | v110(constB39)) <=> (v110(constB39) | (~v111(constB39)))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6093,plain,
% 48.06/30.52 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB39)) | v110(constB39))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB39) | (~v111(constB39))))),
% 48.06/30.52 inference(monotonicity,[status(thm)],[6092])).
% 48.06/30.52 tff(6094,plain,
% 48.06/30.52 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB39)) | v110(constB39))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB39) | (~v111(constB39)))),
% 48.06/30.52 inference(transitivity,[status(thm)],[6093, 6091])).
% 48.06/30.52 tff(6095,plain,
% 48.06/30.52 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB39)) | v110(constB39))),
% 48.06/30.52 inference(quant_inst,[status(thm)],[])).
% 48.06/30.52 tff(6096,plain,
% 48.06/30.52 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB39) | (~v111(constB39))),
% 48.06/30.52 inference(modus_ponens,[status(thm)],[6095, 6094])).
% 48.06/30.52 tff(6097,plain,
% 48.06/30.52 (v110(constB39)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6096, 292, 6090])).
% 48.06/30.52 tff(6098,plain,
% 48.06/30.52 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB39)) | v109(constB39))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB39)) | v109(constB39))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6099,plain,
% 48.06/30.52 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB39)) | v109(constB39))),
% 48.06/30.52 inference(quant_inst,[status(thm)],[])).
% 48.06/30.52 tff(6100,plain,
% 48.06/30.52 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB39)) | v109(constB39)),
% 48.06/30.52 inference(modus_ponens,[status(thm)],[6099, 6098])).
% 48.06/30.52 tff(6101,plain,
% 48.06/30.52 (v109(constB39)),
% 48.06/30.52 inference(unit_resolution,[status(thm)],[6100, 306, 6097])).
% 48.06/30.52 tff(6102,plain,
% 48.06/30.52 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v109(constB39)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v109(constB39)))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6103,plain,
% 48.06/30.52 (((~v109(constB39)) | v108(constB39)) <=> (v108(constB39) | (~v109(constB39)))),
% 48.06/30.52 inference(rewrite,[status(thm)],[])).
% 48.06/30.52 tff(6104,plain,
% 48.06/30.52 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v109(constB39))))),
% 48.06/30.53 inference(monotonicity,[status(thm)],[6103])).
% 48.06/30.53 tff(6105,plain,
% 48.06/30.53 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v109(constB39)))),
% 48.06/30.53 inference(transitivity,[status(thm)],[6104, 6102])).
% 48.06/30.53 tff(6106,plain,
% 48.06/30.53 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB39)) | v108(constB39))),
% 48.06/30.53 inference(quant_inst,[status(thm)],[])).
% 48.06/30.53 tff(6107,plain,
% 48.06/30.53 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v109(constB39))),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6106, 6105])).
% 48.06/30.53 tff(6108,plain,
% 48.06/30.53 (v108(constB39)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6107, 320, 6101])).
% 48.06/30.53 tff(6109,plain,
% 48.06/30.53 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB39) | (~v108(constB39)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB39) | (~v108(constB39)))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6110,plain,
% 48.06/30.53 (((~v108(constB39)) | v107(constB39)) <=> (v107(constB39) | (~v108(constB39)))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6111,plain,
% 48.06/30.53 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB39)) | v107(constB39))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB39) | (~v108(constB39))))),
% 48.06/30.53 inference(monotonicity,[status(thm)],[6110])).
% 48.06/30.53 tff(6112,plain,
% 48.06/30.53 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB39)) | v107(constB39))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB39) | (~v108(constB39)))),
% 48.06/30.53 inference(transitivity,[status(thm)],[6111, 6109])).
% 48.06/30.53 tff(6113,plain,
% 48.06/30.53 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB39)) | v107(constB39))),
% 48.06/30.53 inference(quant_inst,[status(thm)],[])).
% 48.06/30.53 tff(6114,plain,
% 48.06/30.53 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB39) | (~v108(constB39))),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6113, 6112])).
% 48.06/30.53 tff(6115,plain,
% 48.06/30.53 (v107(constB39)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6114, 334, 6108])).
% 48.06/30.53 tff(6116,plain,
% 48.06/30.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | (~v107(constB39)) | v106(constB39))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB39) | (~v107(constB39)) | v106(constB39))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6117,plain,
% 48.06/30.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | (~v107(constB39)) | v106(constB39))),
% 48.06/30.53 inference(quant_inst,[status(thm)],[])).
% 48.06/30.53 tff(6118,plain,
% 48.06/30.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB39) | (~v107(constB39)) | v106(constB39)),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6117, 6116])).
% 48.06/30.53 tff(6119,plain,
% 48.06/30.53 (v26(constB39) | v106(constB39)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6118, 348, 6115])).
% 48.06/30.53 tff(6120,plain,
% 48.06/30.53 (v106(constB39)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6119, 58])).
% 48.06/30.53 tff(6121,plain,
% 48.06/30.53 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB39) | (~v106(constB39)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB39) | (~v106(constB39)))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6122,plain,
% 48.06/30.53 (((~v106(constB39)) | v102(constB39)) <=> (v102(constB39) | (~v106(constB39)))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6123,plain,
% 48.06/30.53 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB39)) | v102(constB39))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB39) | (~v106(constB39))))),
% 48.06/30.53 inference(monotonicity,[status(thm)],[6122])).
% 48.06/30.53 tff(6124,plain,
% 48.06/30.53 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB39)) | v102(constB39))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB39) | (~v106(constB39)))),
% 48.06/30.53 inference(transitivity,[status(thm)],[6123, 6121])).
% 48.06/30.53 tff(6125,plain,
% 48.06/30.53 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB39)) | v102(constB39))),
% 48.06/30.53 inference(quant_inst,[status(thm)],[])).
% 48.06/30.53 tff(6126,plain,
% 48.06/30.53 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB39) | (~v106(constB39))),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6125, 6124])).
% 48.06/30.53 tff(6127,plain,
% 48.06/30.53 (v102(constB39)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6126, 504, 6120])).
% 48.06/30.53 tff(6128,plain,
% 48.06/30.53 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6129,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 48.06/30.53 tff(6130,plain,
% 48.06/30.53 (nextState(constB39, constB40)),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6129, 6128])).
% 48.06/30.53 tff(6131,plain,
% 48.06/30.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6132,plain,
% 48.06/30.53 (((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40)) <=> ((~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6133,plain,
% 48.06/30.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39))))),
% 48.06/30.53 inference(monotonicity,[status(thm)],[6132])).
% 48.06/30.53 tff(6134,plain,
% 48.06/30.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))),
% 48.06/30.53 inference(transitivity,[status(thm)],[6133, 6131])).
% 48.06/30.53 tff(6135,plain,
% 48.06/30.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40))),
% 48.06/30.53 inference(quant_inst,[status(thm)],[])).
% 48.06/30.53 tff(6136,plain,
% 48.06/30.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39))),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6135, 6134])).
% 48.06/30.53 tff(6137,plain,
% 48.06/30.53 (v104(constB40) | (~v102(constB39))),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6136, 489, 6130])).
% 48.06/30.53 tff(6138,plain,
% 48.06/30.53 (v104(constB40)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6137, 6127])).
% 48.06/30.53 tff(6139,plain,
% 48.06/30.53 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40)))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6140,plain,
% 48.06/30.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40)))),
% 48.06/30.53 inference(quant_inst,[status(thm)],[])).
% 48.06/30.53 tff(6141,plain,
% 48.06/30.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40))),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6140, 6139])).
% 48.06/30.53 tff(6142,plain,
% 48.06/30.53 (~v98(constB40)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6141, 423, 6130, 5993])).
% 48.06/30.53 tff(6143,plain,
% 48.06/30.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB39, constB40)) | v96(constB40) | v98(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB39, constB40)) | v96(constB40) | v98(constB40))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6144,plain,
% 48.06/30.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB39, constB40)) | v96(constB40) | v98(constB40))),
% 48.06/30.53 inference(quant_inst,[status(thm)],[])).
% 48.06/30.53 tff(6145,plain,
% 48.06/30.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB39, constB40)) | v96(constB40) | v98(constB40)),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6144, 6143])).
% 48.06/30.53 tff(6146,plain,
% 48.06/30.53 (v96(constB40) | v98(constB40)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6145, 437, 6130])).
% 48.06/30.53 tff(6147,plain,
% 48.06/30.53 (v96(constB40)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6146, 6142])).
% 48.06/30.53 tff(6148,plain,
% 48.06/30.53 (v1(constB40) <=> v1(constB40)),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6149,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 48.06/30.53 tff(6150,plain,
% 48.06/30.53 (v1(constB40)),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6149, 6148])).
% 48.06/30.53 tff(6151,plain,
% 48.06/30.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40)))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6152,plain,
% 48.06/30.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40)))),
% 48.06/30.53 inference(quant_inst,[status(thm)],[])).
% 48.06/30.53 tff(6153,plain,
% 48.06/30.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40))),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6152, 6151])).
% 48.06/30.53 tff(6154,plain,
% 48.06/30.53 (v95(constB40) | (~v96(constB40))),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6153, 455, 6130, 6150])).
% 48.06/30.53 tff(6155,plain,
% 48.06/30.53 (v95(constB40)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6154, 6147])).
% 48.06/30.53 tff(6156,plain,
% 48.06/30.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6157,plain,
% 48.06/30.53 (((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40)) <=> ((~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6158,plain,
% 48.06/30.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40))))),
% 48.06/30.53 inference(monotonicity,[status(thm)],[6157])).
% 48.06/30.53 tff(6159,plain,
% 48.06/30.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))),
% 48.06/30.53 inference(transitivity,[status(thm)],[6158, 6156])).
% 48.06/30.53 tff(6160,plain,
% 48.06/30.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40))),
% 48.06/30.53 inference(quant_inst,[status(thm)],[])).
% 48.06/30.53 tff(6161,plain,
% 48.06/30.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40))),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6160, 6159])).
% 48.06/30.53 tff(6162,plain,
% 48.06/30.53 (v94(constB40) | (~v95(constB40)) | (~v104(constB40))),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6161, 470, 6130])).
% 48.06/30.53 tff(6163,plain,
% 48.06/30.53 (v94(constB40) | (~v104(constB40))),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6162, 6155])).
% 48.06/30.53 tff(6164,plain,
% 48.06/30.53 (v94(constB40)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6163, 6138])).
% 48.06/30.53 tff(6165,plain,
% 48.06/30.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB39)) | (~v124(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB39)) | (~v124(constB39, bitIndex2)))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6166,plain,
% 48.06/30.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB39)) | (~v124(constB39, bitIndex2)))),
% 48.06/30.53 inference(quant_inst,[status(thm)],[])).
% 48.06/30.53 tff(6167,plain,
% 48.06/30.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB39)) | (~v124(constB39, bitIndex2))),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6166, 6165])).
% 48.06/30.53 tff(6168,plain,
% 48.06/30.53 (~v124(constB39, bitIndex2)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6167, 1690, 6086])).
% 48.06/30.53 tff(6169,plain,
% 48.06/30.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6170,plain,
% 48.06/30.53 ((v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2))) <=> ((~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))),
% 48.06/30.53 inference(rewrite,[status(thm)],[])).
% 48.06/30.53 tff(6171,plain,
% 48.06/30.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2)))),
% 48.06/30.53 inference(monotonicity,[status(thm)],[6170])).
% 48.06/30.53 tff(6172,plain,
% 48.06/30.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))),
% 48.06/30.53 inference(transitivity,[status(thm)],[6171, 6169])).
% 48.06/30.53 tff(6173,plain,
% 48.06/30.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2)))),
% 48.06/30.53 inference(quant_inst,[status(thm)],[])).
% 48.06/30.53 tff(6174,plain,
% 48.06/30.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2)),
% 48.06/30.53 inference(modus_ponens,[status(thm)],[6173, 6172])).
% 48.06/30.53 tff(6175,plain,
% 48.06/30.53 ((~v121(constB39, bitIndex2)) | v26(constB39)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6174, 1187, 6168])).
% 48.06/30.53 tff(6176,plain,
% 48.06/30.53 (~v121(constB39, bitIndex2)),
% 48.06/30.53 inference(unit_resolution,[status(thm)],[6175, 58])).
% 48.06/30.53 tff(6177,plain,
% 48.06/30.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2)))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6178,plain,
% 48.06/30.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2)))),
% 48.06/30.54 inference(quant_inst,[status(thm)],[])).
% 48.06/30.54 tff(6179,plain,
% 48.06/30.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2))),
% 48.06/30.54 inference(modus_ponens,[status(thm)],[6178, 6177])).
% 48.06/30.54 tff(6180,plain,
% 48.06/30.54 (v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2))),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6179, 1205, 6130])).
% 48.06/30.54 tff(6181,plain,
% 48.06/30.54 (~v123(constB40, bitIndex2)),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6180, 6176])).
% 48.06/30.54 tff(6182,plain,
% 48.06/30.54 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6183,plain,
% 48.06/30.54 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))),
% 48.06/30.54 inference(quant_inst,[status(thm)],[])).
% 48.06/30.54 tff(6184,plain,
% 48.06/30.54 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40))),
% 48.06/30.54 inference(modus_ponens,[status(thm)],[6183, 6182])).
% 48.06/30.54 tff(6185,plain,
% 48.06/30.54 ((~v84(constB40, bitIndex2)) | (~v94(constB40))),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6184, 1220, 6181])).
% 48.06/30.54 tff(6186,plain,
% 48.06/30.54 (~v84(constB40, bitIndex2)),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6185, 6164])).
% 48.06/30.54 tff(6187,plain,
% 48.06/30.54 ((~v1(constB41)) <=> (~v1(constB41))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6188,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 48.06/30.54 tff(6189,plain,
% 48.06/30.54 (~v1(constB41)),
% 48.06/30.54 inference(modus_ponens,[status(thm)],[6188, 6187])).
% 48.06/30.54 tff(6190,plain,
% 48.06/30.54 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6191,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 48.06/30.54 tff(6192,plain,
% 48.06/30.54 (nextState(constB40, constB41)),
% 48.06/30.54 inference(modus_ponens,[status(thm)],[6191, 6190])).
% 48.06/30.54 tff(6193,plain,
% 48.06/30.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6194,plain,
% 48.06/30.54 (((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6195,plain,
% 48.06/30.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41))))),
% 48.06/30.54 inference(monotonicity,[status(thm)],[6194])).
% 48.06/30.54 tff(6196,plain,
% 48.06/30.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))),
% 48.06/30.54 inference(transitivity,[status(thm)],[6195, 6193])).
% 48.06/30.54 tff(6197,plain,
% 48.06/30.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41))),
% 48.06/30.54 inference(quant_inst,[status(thm)],[])).
% 48.06/30.54 tff(6198,plain,
% 48.06/30.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41))),
% 48.06/30.54 inference(modus_ponens,[status(thm)],[6197, 6196])).
% 48.06/30.54 tff(6199,plain,
% 48.06/30.54 (~v95(constB41)),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6198, 110, 6192, 6189])).
% 48.06/30.54 tff(6200,plain,
% 48.06/30.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41)))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6201,plain,
% 48.06/30.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41)))),
% 48.06/30.54 inference(quant_inst,[status(thm)],[])).
% 48.06/30.54 tff(6202,plain,
% 48.06/30.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41))),
% 48.06/30.54 inference(modus_ponens,[status(thm)],[6201, 6200])).
% 48.06/30.54 tff(6203,plain,
% 48.06/30.54 (v95(constB41) | (~v94(constB41))),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6202, 127, 6192])).
% 48.06/30.54 tff(6204,plain,
% 48.06/30.54 (~v94(constB41)),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6203, 6199])).
% 48.06/30.54 tff(6205,plain,
% 48.06/30.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6206,plain,
% 48.06/30.54 (((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2))) <=> (v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6207,plain,
% 48.06/30.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2))))),
% 48.06/30.54 inference(monotonicity,[status(thm)],[6206])).
% 48.06/30.54 tff(6208,plain,
% 48.06/30.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 48.06/30.54 inference(transitivity,[status(thm)],[6207, 6205])).
% 48.06/30.54 tff(6209,plain,
% 48.06/30.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 48.06/30.54 inference(quant_inst,[status(thm)],[])).
% 48.06/30.54 tff(6210,plain,
% 48.06/30.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2))),
% 48.06/30.54 inference(modus_ponens,[status(thm)],[6209, 6208])).
% 48.06/30.54 tff(6211,plain,
% 48.06/30.54 (v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2))),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6210, 142, 6192])).
% 48.06/30.54 tff(6212,plain,
% 48.06/30.54 (v84(constB40, bitIndex2) | (~v84(constB41, bitIndex2))),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6211, 6204])).
% 48.06/30.54 tff(6213,plain,
% 48.06/30.54 (~v84(constB41, bitIndex2)),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6212, 6186])).
% 48.06/30.54 tff(6214,plain,
% 48.06/30.54 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB39)) | v124(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB39)) | v124(constB39, bitIndex1))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6215,plain,
% 48.06/30.54 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB39)) | v124(constB39, bitIndex1))),
% 48.06/30.54 inference(quant_inst,[status(thm)],[])).
% 48.06/30.54 tff(6216,plain,
% 48.06/30.54 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB39)) | v124(constB39, bitIndex1)),
% 48.06/30.54 inference(modus_ponens,[status(thm)],[6215, 6214])).
% 48.06/30.54 tff(6217,plain,
% 48.06/30.54 (v124(constB39, bitIndex1)),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6216, 1746, 6086])).
% 48.06/30.54 tff(6218,plain,
% 48.06/30.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6219,plain,
% 48.06/30.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1))),
% 48.06/30.54 inference(quant_inst,[status(thm)],[])).
% 48.06/30.54 tff(6220,plain,
% 48.06/30.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1)),
% 48.06/30.54 inference(modus_ponens,[status(thm)],[6219, 6218])).
% 48.06/30.54 tff(6221,plain,
% 48.06/30.54 (v26(constB39) | v121(constB39, bitIndex1)),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6220, 857, 6217])).
% 48.06/30.54 tff(6222,plain,
% 48.06/30.54 (v121(constB39, bitIndex1)),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6221, 58])).
% 48.06/30.54 tff(6223,plain,
% 48.06/30.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6224,plain,
% 48.06/30.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1))),
% 48.06/30.54 inference(quant_inst,[status(thm)],[])).
% 48.06/30.54 tff(6225,plain,
% 48.06/30.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1)),
% 48.06/30.54 inference(modus_ponens,[status(thm)],[6224, 6223])).
% 48.06/30.54 tff(6226,plain,
% 48.06/30.54 ((~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1)),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6225, 872, 6130])).
% 48.06/30.54 tff(6227,plain,
% 48.06/30.54 (v123(constB40, bitIndex1)),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6226, 6222])).
% 48.06/30.54 tff(6228,plain,
% 48.06/30.54 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6229,plain,
% 48.06/30.54 ((v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1))) <=> (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))),
% 48.06/30.54 inference(rewrite,[status(thm)],[])).
% 48.06/30.54 tff(6230,plain,
% 48.06/30.54 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40))))),
% 48.06/30.54 inference(monotonicity,[status(thm)],[6229])).
% 48.06/30.54 tff(6231,plain,
% 48.06/30.54 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))),
% 48.06/30.54 inference(transitivity,[status(thm)],[6230, 6228])).
% 48.06/30.54 tff(6232,plain,
% 48.06/30.54 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1)))),
% 48.06/30.54 inference(quant_inst,[status(thm)],[])).
% 48.06/30.54 tff(6233,plain,
% 48.06/30.54 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40))),
% 48.06/30.54 inference(modus_ponens,[status(thm)],[6232, 6231])).
% 48.06/30.54 tff(6234,plain,
% 48.06/30.54 (v84(constB40, bitIndex1) | (~v94(constB40))),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6233, 887, 6227])).
% 48.06/30.54 tff(6235,plain,
% 48.06/30.54 (v84(constB40, bitIndex1)),
% 48.06/30.54 inference(unit_resolution,[status(thm)],[6234, 6164])).
% 48.06/30.54 tff(6236,plain,
% 48.06/30.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6237,plain,
% 48.06/30.55 (((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1)) <=> ((~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6238,plain,
% 48.06/30.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1)))),
% 48.06/30.55 inference(monotonicity,[status(thm)],[6237])).
% 48.06/30.55 tff(6239,plain,
% 48.06/30.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))),
% 48.06/30.55 inference(transitivity,[status(thm)],[6238, 6236])).
% 48.06/30.55 tff(6240,plain,
% 48.06/30.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1))),
% 48.06/30.55 inference(quant_inst,[status(thm)],[])).
% 48.06/30.55 tff(6241,plain,
% 48.06/30.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1)),
% 48.06/30.55 inference(modus_ponens,[status(thm)],[6240, 6239])).
% 48.06/30.55 tff(6242,plain,
% 48.06/30.55 ((~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6241, 905, 6192])).
% 48.06/30.55 tff(6243,plain,
% 48.06/30.55 ((~v84(constB40, bitIndex1)) | v84(constB41, bitIndex1)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6242, 6204])).
% 48.06/30.55 tff(6244,plain,
% 48.06/30.55 (v84(constB41, bitIndex1)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6243, 6235])).
% 48.06/30.55 tff(6245,plain,
% 48.06/30.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB39)) | v124(constB39, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB39)) | v124(constB39, bitIndex0))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6246,plain,
% 48.06/30.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB39)) | v124(constB39, bitIndex0))),
% 48.06/30.55 inference(quant_inst,[status(thm)],[])).
% 48.06/30.55 tff(6247,plain,
% 48.06/30.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB39)) | v124(constB39, bitIndex0)),
% 48.06/30.55 inference(modus_ponens,[status(thm)],[6246, 6245])).
% 48.06/30.55 tff(6248,plain,
% 48.06/30.55 (v124(constB39, bitIndex0)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6247, 1784, 6086])).
% 48.06/30.55 tff(6249,plain,
% 48.06/30.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB39) | (~v124(constB39, bitIndex0)) | v121(constB39, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB39) | (~v124(constB39, bitIndex0)) | v121(constB39, bitIndex0))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6250,plain,
% 48.06/30.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB39) | (~v124(constB39, bitIndex0)) | v121(constB39, bitIndex0))),
% 48.06/30.55 inference(quant_inst,[status(thm)],[])).
% 48.06/30.55 tff(6251,plain,
% 48.06/30.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB39) | (~v124(constB39, bitIndex0)) | v121(constB39, bitIndex0)),
% 48.06/30.55 inference(modus_ponens,[status(thm)],[6250, 6249])).
% 48.06/30.55 tff(6252,plain,
% 48.06/30.55 (v26(constB39) | v121(constB39, bitIndex0)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6251, 1391, 6248])).
% 48.06/30.55 tff(6253,plain,
% 48.06/30.55 (v121(constB39, bitIndex0)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6252, 58])).
% 48.06/30.55 tff(6254,plain,
% 48.06/30.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v121(constB39, bitIndex0)) | v123(constB40, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB39, constB40)) | (~v121(constB39, bitIndex0)) | v123(constB40, bitIndex0))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6255,plain,
% 48.06/30.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v121(constB39, bitIndex0)) | v123(constB40, bitIndex0))),
% 48.06/30.55 inference(quant_inst,[status(thm)],[])).
% 48.06/30.55 tff(6256,plain,
% 48.06/30.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB39, constB40)) | (~v121(constB39, bitIndex0)) | v123(constB40, bitIndex0)),
% 48.06/30.55 inference(modus_ponens,[status(thm)],[6255, 6254])).
% 48.06/30.55 tff(6257,plain,
% 48.06/30.55 ((~v121(constB39, bitIndex0)) | v123(constB40, bitIndex0)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6256, 1406, 6130])).
% 48.06/30.55 tff(6258,plain,
% 48.06/30.55 (v123(constB40, bitIndex0)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6257, 6253])).
% 48.06/30.55 tff(6259,plain,
% 48.06/30.55 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~v123(constB40, bitIndex0)) | (~v94(constB40)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~v123(constB40, bitIndex0)) | (~v94(constB40)))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6260,plain,
% 48.06/30.55 ((v84(constB40, bitIndex0) | (~v94(constB40)) | (~v123(constB40, bitIndex0))) <=> (v84(constB40, bitIndex0) | (~v123(constB40, bitIndex0)) | (~v94(constB40)))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6261,plain,
% 48.06/30.55 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~v94(constB40)) | (~v123(constB40, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~v123(constB40, bitIndex0)) | (~v94(constB40))))),
% 48.06/30.55 inference(monotonicity,[status(thm)],[6260])).
% 48.06/30.55 tff(6262,plain,
% 48.06/30.55 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~v94(constB40)) | (~v123(constB40, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~v123(constB40, bitIndex0)) | (~v94(constB40)))),
% 48.06/30.55 inference(transitivity,[status(thm)],[6261, 6259])).
% 48.06/30.55 tff(6263,plain,
% 48.06/30.55 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~v94(constB40)) | (~v123(constB40, bitIndex0)))),
% 48.06/30.55 inference(quant_inst,[status(thm)],[])).
% 48.06/30.55 tff(6264,plain,
% 48.06/30.55 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~v123(constB40, bitIndex0)) | (~v94(constB40))),
% 48.06/30.55 inference(modus_ponens,[status(thm)],[6263, 6262])).
% 48.06/30.55 tff(6265,plain,
% 48.06/30.55 (v84(constB40, bitIndex0) | (~v94(constB40))),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6264, 1421, 6258])).
% 48.06/30.55 tff(6266,plain,
% 48.06/30.55 (v84(constB40, bitIndex0)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6265, 6164])).
% 48.06/30.55 tff(6267,plain,
% 48.06/30.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex0))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6268,plain,
% 48.06/30.55 (((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex0)) | v94(constB41) | v84(constB41, bitIndex0)) <=> ((~v84(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex0))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6269,plain,
% 48.06/30.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex0)) | v94(constB41) | v84(constB41, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex0)))),
% 48.06/30.55 inference(monotonicity,[status(thm)],[6268])).
% 48.06/30.55 tff(6270,plain,
% 48.06/30.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex0)) | v94(constB41) | v84(constB41, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex0))),
% 48.06/30.55 inference(transitivity,[status(thm)],[6269, 6267])).
% 48.06/30.55 tff(6271,plain,
% 48.06/30.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex0)) | v94(constB41) | v84(constB41, bitIndex0))),
% 48.06/30.55 inference(quant_inst,[status(thm)],[])).
% 48.06/30.55 tff(6272,plain,
% 48.06/30.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex0)),
% 48.06/30.55 inference(modus_ponens,[status(thm)],[6271, 6270])).
% 48.06/30.55 tff(6273,plain,
% 48.06/30.55 ((~v84(constB40, bitIndex0)) | v94(constB41) | v84(constB41, bitIndex0)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6272, 1439, 6192])).
% 48.06/30.55 tff(6274,plain,
% 48.06/30.55 ((~v84(constB40, bitIndex0)) | v84(constB41, bitIndex0)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6273, 6204])).
% 48.06/30.55 tff(6275,plain,
% 48.06/30.55 (v84(constB41, bitIndex0)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6274, 6266])).
% 48.06/30.55 tff(6276,plain,
% 48.06/30.55 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB41, bitIndex0)) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB41, bitIndex0)) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v116(constB41))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6277,plain,
% 48.06/30.55 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB41, bitIndex0)) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v116(constB41))),
% 48.06/30.55 inference(quant_inst,[status(thm)],[])).
% 48.06/30.55 tff(6278,plain,
% 48.06/30.55 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB41, bitIndex0)) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v116(constB41)),
% 48.06/30.55 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 48.06/30.55 tff(6279,plain,
% 48.06/30.55 (v116(constB41)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6278, 1825, 6275, 6244, 6213])).
% 48.06/30.55 tff(6280,plain,
% 48.06/30.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB41) | (~v116(constB41)))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6281,plain,
% 48.06/30.55 (((~v116(constB41)) | v110(constB41)) <=> (v110(constB41) | (~v116(constB41)))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6282,plain,
% 48.06/30.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB41)) | v110(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB41) | (~v116(constB41))))),
% 48.06/30.55 inference(monotonicity,[status(thm)],[6281])).
% 48.06/30.55 tff(6283,plain,
% 48.06/30.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB41)) | v110(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB41) | (~v116(constB41)))),
% 48.06/30.55 inference(transitivity,[status(thm)],[6282, 6280])).
% 48.06/30.55 tff(6284,plain,
% 48.06/30.55 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB41)) | v110(constB41))),
% 48.06/30.55 inference(quant_inst,[status(thm)],[])).
% 48.06/30.55 tff(6285,plain,
% 48.06/30.55 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB41) | (~v116(constB41))),
% 48.06/30.55 inference(modus_ponens,[status(thm)],[6284, 6283])).
% 48.06/30.55 tff(6286,plain,
% 48.06/30.55 (v110(constB41)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6285, 1836, 6279])).
% 48.06/30.55 tff(6287,plain,
% 48.06/30.55 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB41) | (~v110(constB41)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB41) | (~v110(constB41)))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6288,plain,
% 48.06/30.55 (((~v110(constB41)) | v109(constB41)) <=> (v109(constB41) | (~v110(constB41)))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6289,plain,
% 48.06/30.55 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB41)) | v109(constB41))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB41) | (~v110(constB41))))),
% 48.06/30.55 inference(monotonicity,[status(thm)],[6288])).
% 48.06/30.55 tff(6290,plain,
% 48.06/30.55 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB41)) | v109(constB41))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB41) | (~v110(constB41)))),
% 48.06/30.55 inference(transitivity,[status(thm)],[6289, 6287])).
% 48.06/30.55 tff(6291,plain,
% 48.06/30.55 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB41)) | v109(constB41))),
% 48.06/30.55 inference(quant_inst,[status(thm)],[])).
% 48.06/30.55 tff(6292,plain,
% 48.06/30.55 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB41) | (~v110(constB41))),
% 48.06/30.55 inference(modus_ponens,[status(thm)],[6291, 6290])).
% 48.06/30.55 tff(6293,plain,
% 48.06/30.55 (v109(constB41)),
% 48.06/30.55 inference(unit_resolution,[status(thm)],[6292, 306, 6286])).
% 48.06/30.55 tff(6294,plain,
% 48.06/30.55 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v109(constB41)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v109(constB41)))),
% 48.06/30.55 inference(rewrite,[status(thm)],[])).
% 48.06/30.55 tff(6295,plain,
% 48.06/30.56 (((~v109(constB41)) | v108(constB41)) <=> (v108(constB41) | (~v109(constB41)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6296,plain,
% 48.06/30.56 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v109(constB41))))),
% 48.06/30.56 inference(monotonicity,[status(thm)],[6295])).
% 48.06/30.56 tff(6297,plain,
% 48.06/30.56 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v109(constB41)))),
% 48.06/30.56 inference(transitivity,[status(thm)],[6296, 6294])).
% 48.06/30.56 tff(6298,plain,
% 48.06/30.56 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB41)) | v108(constB41))),
% 48.06/30.56 inference(quant_inst,[status(thm)],[])).
% 48.06/30.56 tff(6299,plain,
% 48.06/30.56 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v109(constB41))),
% 48.06/30.56 inference(modus_ponens,[status(thm)],[6298, 6297])).
% 48.06/30.56 tff(6300,plain,
% 48.06/30.56 (v108(constB41)),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6299, 320, 6293])).
% 48.06/30.56 tff(6301,plain,
% 48.06/30.56 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB41) | (~v108(constB41)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB41) | (~v108(constB41)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6302,plain,
% 48.06/30.56 (((~v108(constB41)) | v107(constB41)) <=> (v107(constB41) | (~v108(constB41)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6303,plain,
% 48.06/30.56 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB41)) | v107(constB41))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB41) | (~v108(constB41))))),
% 48.06/30.56 inference(monotonicity,[status(thm)],[6302])).
% 48.06/30.56 tff(6304,plain,
% 48.06/30.56 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB41)) | v107(constB41))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB41) | (~v108(constB41)))),
% 48.06/30.56 inference(transitivity,[status(thm)],[6303, 6301])).
% 48.06/30.56 tff(6305,plain,
% 48.06/30.56 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB41)) | v107(constB41))),
% 48.06/30.56 inference(quant_inst,[status(thm)],[])).
% 48.06/30.56 tff(6306,plain,
% 48.06/30.56 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB41) | (~v108(constB41))),
% 48.06/30.56 inference(modus_ponens,[status(thm)],[6305, 6304])).
% 48.06/30.56 tff(6307,plain,
% 48.06/30.56 (v107(constB41)),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6306, 334, 6300])).
% 48.06/30.56 tff(6308,assumption,(v26(constB41)), introduced(assumption)).
% 48.06/30.56 tff(6309,plain,
% 48.06/30.56 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB41))),
% 48.06/30.56 inference(quant_inst,[status(thm)],[])).
% 48.06/30.56 tff(6310,plain,
% 48.06/30.56 ($false),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6309, 55, 6308])).
% 48.06/30.56 tff(6311,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 48.06/30.56 tff(6312,plain,
% 48.06/30.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | v106(constB41) | (~v107(constB41)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB41) | v106(constB41) | (~v107(constB41)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6313,plain,
% 48.06/30.56 ((v26(constB41) | (~v107(constB41)) | v106(constB41)) <=> (v26(constB41) | v106(constB41) | (~v107(constB41)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6314,plain,
% 48.06/30.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | (~v107(constB41)) | v106(constB41))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | v106(constB41) | (~v107(constB41))))),
% 48.06/30.56 inference(monotonicity,[status(thm)],[6313])).
% 48.06/30.56 tff(6315,plain,
% 48.06/30.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | (~v107(constB41)) | v106(constB41))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB41) | v106(constB41) | (~v107(constB41)))),
% 48.06/30.56 inference(transitivity,[status(thm)],[6314, 6312])).
% 48.06/30.56 tff(6316,plain,
% 48.06/30.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | (~v107(constB41)) | v106(constB41))),
% 48.06/30.56 inference(quant_inst,[status(thm)],[])).
% 48.06/30.56 tff(6317,plain,
% 48.06/30.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB41) | v106(constB41) | (~v107(constB41))),
% 48.06/30.56 inference(modus_ponens,[status(thm)],[6316, 6315])).
% 48.06/30.56 tff(6318,plain,
% 48.06/30.56 (v106(constB41) | (~v107(constB41))),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6317, 348, 6311])).
% 48.06/30.56 tff(6319,plain,
% 48.06/30.56 (v106(constB41)),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6318, 6307])).
% 48.06/30.56 tff(6320,plain,
% 48.06/30.56 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB41) | (~v106(constB41)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB41) | (~v106(constB41)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6321,plain,
% 48.06/30.56 (((~v106(constB41)) | v102(constB41)) <=> (v102(constB41) | (~v106(constB41)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6322,plain,
% 48.06/30.56 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB41)) | v102(constB41))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB41) | (~v106(constB41))))),
% 48.06/30.56 inference(monotonicity,[status(thm)],[6321])).
% 48.06/30.56 tff(6323,plain,
% 48.06/30.56 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB41)) | v102(constB41))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB41) | (~v106(constB41)))),
% 48.06/30.56 inference(transitivity,[status(thm)],[6322, 6320])).
% 48.06/30.56 tff(6324,plain,
% 48.06/30.56 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB41)) | v102(constB41))),
% 48.06/30.56 inference(quant_inst,[status(thm)],[])).
% 48.06/30.56 tff(6325,plain,
% 48.06/30.56 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB41) | (~v106(constB41))),
% 48.06/30.56 inference(modus_ponens,[status(thm)],[6324, 6323])).
% 48.06/30.56 tff(6326,plain,
% 48.06/30.56 (v102(constB41)),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6325, 504, 6319])).
% 48.06/30.56 tff(6327,plain,
% 48.06/30.56 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6328,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 48.06/30.56 tff(6329,plain,
% 48.06/30.56 (nextState(constB41, constB42)),
% 48.06/30.56 inference(modus_ponens,[status(thm)],[6328, 6327])).
% 48.06/30.56 tff(6330,plain,
% 48.06/30.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6331,plain,
% 48.06/30.56 (((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42)) <=> ((~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6332,plain,
% 48.06/30.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41))))),
% 48.06/30.56 inference(monotonicity,[status(thm)],[6331])).
% 48.06/30.56 tff(6333,plain,
% 48.06/30.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))),
% 48.06/30.56 inference(transitivity,[status(thm)],[6332, 6330])).
% 48.06/30.56 tff(6334,plain,
% 48.06/30.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42))),
% 48.06/30.56 inference(quant_inst,[status(thm)],[])).
% 48.06/30.56 tff(6335,plain,
% 48.06/30.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41))),
% 48.06/30.56 inference(modus_ponens,[status(thm)],[6334, 6333])).
% 48.06/30.56 tff(6336,plain,
% 48.06/30.56 (v104(constB42) | (~v102(constB41))),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6335, 489, 6329])).
% 48.06/30.56 tff(6337,plain,
% 48.06/30.56 (v104(constB42)),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6336, 6326])).
% 48.06/30.56 tff(6338,plain,
% 48.06/30.56 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6339,plain,
% 48.06/30.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42)))),
% 48.06/30.56 inference(quant_inst,[status(thm)],[])).
% 48.06/30.56 tff(6340,plain,
% 48.06/30.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42))),
% 48.06/30.56 inference(modus_ponens,[status(thm)],[6339, 6338])).
% 48.06/30.56 tff(6341,plain,
% 48.06/30.56 (~v98(constB42)),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6340, 423, 6329, 6189])).
% 48.06/30.56 tff(6342,plain,
% 48.06/30.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB41, constB42)) | v96(constB42) | v98(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB41, constB42)) | v96(constB42) | v98(constB42))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6343,plain,
% 48.06/30.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB41, constB42)) | v96(constB42) | v98(constB42))),
% 48.06/30.56 inference(quant_inst,[status(thm)],[])).
% 48.06/30.56 tff(6344,plain,
% 48.06/30.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB41, constB42)) | v96(constB42) | v98(constB42)),
% 48.06/30.56 inference(modus_ponens,[status(thm)],[6343, 6342])).
% 48.06/30.56 tff(6345,plain,
% 48.06/30.56 (v96(constB42) | v98(constB42)),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6344, 437, 6329])).
% 48.06/30.56 tff(6346,plain,
% 48.06/30.56 (v96(constB42)),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6345, 6341])).
% 48.06/30.56 tff(6347,plain,
% 48.06/30.56 (v1(constB42) <=> v1(constB42)),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6348,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 48.06/30.56 tff(6349,plain,
% 48.06/30.56 (v1(constB42)),
% 48.06/30.56 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 48.06/30.56 tff(6350,plain,
% 48.06/30.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6351,plain,
% 48.06/30.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42)))),
% 48.06/30.56 inference(quant_inst,[status(thm)],[])).
% 48.06/30.56 tff(6352,plain,
% 48.06/30.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42))),
% 48.06/30.56 inference(modus_ponens,[status(thm)],[6351, 6350])).
% 48.06/30.56 tff(6353,plain,
% 48.06/30.56 (v95(constB42) | (~v96(constB42))),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6352, 455, 6329, 6349])).
% 48.06/30.56 tff(6354,plain,
% 48.06/30.56 (v95(constB42)),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6353, 6346])).
% 48.06/30.56 tff(6355,plain,
% 48.06/30.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6356,plain,
% 48.06/30.56 (((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42)) <=> ((~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6357,plain,
% 48.06/30.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42))))),
% 48.06/30.56 inference(monotonicity,[status(thm)],[6356])).
% 48.06/30.56 tff(6358,plain,
% 48.06/30.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))),
% 48.06/30.56 inference(transitivity,[status(thm)],[6357, 6355])).
% 48.06/30.56 tff(6359,plain,
% 48.06/30.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42))),
% 48.06/30.56 inference(quant_inst,[status(thm)],[])).
% 48.06/30.56 tff(6360,plain,
% 48.06/30.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42))),
% 48.06/30.56 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 48.06/30.56 tff(6361,plain,
% 48.06/30.56 (v94(constB42) | (~v95(constB42)) | (~v104(constB42))),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6360, 470, 6329])).
% 48.06/30.56 tff(6362,plain,
% 48.06/30.56 (v94(constB42) | (~v104(constB42))),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6361, 6354])).
% 48.06/30.56 tff(6363,plain,
% 48.06/30.56 (v94(constB42)),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6362, 6337])).
% 48.06/30.56 tff(6364,plain,
% 48.06/30.56 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB41)) | v124(constB41, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB41)) | v124(constB41, bitIndex2))),
% 48.06/30.56 inference(rewrite,[status(thm)],[])).
% 48.06/30.56 tff(6365,plain,
% 48.06/30.56 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB41)) | v124(constB41, bitIndex2))),
% 48.06/30.56 inference(quant_inst,[status(thm)],[])).
% 48.06/30.56 tff(6366,plain,
% 48.06/30.56 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB41)) | v124(constB41, bitIndex2)),
% 48.06/30.56 inference(modus_ponens,[status(thm)],[6365, 6364])).
% 48.06/30.56 tff(6367,plain,
% 48.06/30.56 (v124(constB41, bitIndex2)),
% 48.06/30.56 inference(unit_resolution,[status(thm)],[6366, 1923, 6279])).
% 48.06/30.57 tff(6368,plain,
% 48.06/30.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB41) | (~v124(constB41, bitIndex2)) | v121(constB41, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB41) | (~v124(constB41, bitIndex2)) | v121(constB41, bitIndex2))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6369,plain,
% 48.06/30.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB41) | (~v124(constB41, bitIndex2)) | v121(constB41, bitIndex2))),
% 48.06/30.57 inference(quant_inst,[status(thm)],[])).
% 48.06/30.57 tff(6370,plain,
% 48.06/30.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB41) | (~v124(constB41, bitIndex2)) | v121(constB41, bitIndex2)),
% 48.06/30.57 inference(modus_ponens,[status(thm)],[6369, 6368])).
% 48.06/30.57 tff(6371,plain,
% 48.06/30.57 ((~v124(constB41, bitIndex2)) | v121(constB41, bitIndex2)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6370, 374, 6311])).
% 48.06/30.57 tff(6372,plain,
% 48.06/30.57 (v121(constB41, bitIndex2)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6371, 6367])).
% 48.06/30.57 tff(6373,plain,
% 48.06/30.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB41, constB42)) | (~v121(constB41, bitIndex2)) | v123(constB42, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB41, constB42)) | (~v121(constB41, bitIndex2)) | v123(constB42, bitIndex2))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6374,plain,
% 48.06/30.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB41, constB42)) | (~v121(constB41, bitIndex2)) | v123(constB42, bitIndex2))),
% 48.06/30.57 inference(quant_inst,[status(thm)],[])).
% 48.06/30.57 tff(6375,plain,
% 48.06/30.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB41, constB42)) | (~v121(constB41, bitIndex2)) | v123(constB42, bitIndex2)),
% 48.06/30.57 inference(modus_ponens,[status(thm)],[6374, 6373])).
% 48.06/30.57 tff(6376,plain,
% 48.06/30.57 ((~v121(constB41, bitIndex2)) | v123(constB42, bitIndex2)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6375, 389, 6329])).
% 48.06/30.57 tff(6377,plain,
% 48.06/30.57 (v123(constB42, bitIndex2)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6376, 6372])).
% 48.06/30.57 tff(6378,plain,
% 48.06/30.57 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2)) | (~v94(constB42)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2)) | (~v94(constB42)))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6379,plain,
% 48.06/30.57 ((v84(constB42, bitIndex2) | (~v94(constB42)) | (~v123(constB42, bitIndex2))) <=> (v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2)) | (~v94(constB42)))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6380,plain,
% 48.06/30.57 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~v94(constB42)) | (~v123(constB42, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2)) | (~v94(constB42))))),
% 48.06/30.57 inference(monotonicity,[status(thm)],[6379])).
% 48.06/30.57 tff(6381,plain,
% 48.06/30.57 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~v94(constB42)) | (~v123(constB42, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2)) | (~v94(constB42)))),
% 48.06/30.57 inference(transitivity,[status(thm)],[6380, 6378])).
% 48.06/30.57 tff(6382,plain,
% 48.06/30.57 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~v94(constB42)) | (~v123(constB42, bitIndex2)))),
% 48.06/30.57 inference(quant_inst,[status(thm)],[])).
% 48.06/30.57 tff(6383,plain,
% 48.06/30.57 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2)) | (~v94(constB42))),
% 48.06/30.57 inference(modus_ponens,[status(thm)],[6382, 6381])).
% 48.06/30.57 tff(6384,plain,
% 48.06/30.57 (v84(constB42, bitIndex2) | (~v94(constB42))),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6383, 405, 6377])).
% 48.06/30.57 tff(6385,plain,
% 48.06/30.57 (v84(constB42, bitIndex2)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6384, 6363])).
% 48.06/30.57 tff(6386,plain,
% 48.06/30.57 ((~v1(constB43)) <=> (~v1(constB43))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6387,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 48.06/30.57 tff(6388,plain,
% 48.06/30.57 (~v1(constB43)),
% 48.06/30.57 inference(modus_ponens,[status(thm)],[6387, 6386])).
% 48.06/30.57 tff(6389,plain,
% 48.06/30.57 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6390,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 48.06/30.57 tff(6391,plain,
% 48.06/30.57 (nextState(constB42, constB43)),
% 48.06/30.57 inference(modus_ponens,[status(thm)],[6390, 6389])).
% 48.06/30.57 tff(6392,plain,
% 48.06/30.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6393,plain,
% 48.06/30.57 (((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6394,plain,
% 48.06/30.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43))))),
% 48.06/30.57 inference(monotonicity,[status(thm)],[6393])).
% 48.06/30.57 tff(6395,plain,
% 48.06/30.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))),
% 48.06/30.57 inference(transitivity,[status(thm)],[6394, 6392])).
% 48.06/30.57 tff(6396,plain,
% 48.06/30.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43))),
% 48.06/30.57 inference(quant_inst,[status(thm)],[])).
% 48.06/30.57 tff(6397,plain,
% 48.06/30.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43))),
% 48.06/30.57 inference(modus_ponens,[status(thm)],[6396, 6395])).
% 48.06/30.57 tff(6398,plain,
% 48.06/30.57 (~v95(constB43)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6397, 110, 6391, 6388])).
% 48.06/30.57 tff(6399,plain,
% 48.06/30.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43)))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6400,plain,
% 48.06/30.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43)))),
% 48.06/30.57 inference(quant_inst,[status(thm)],[])).
% 48.06/30.57 tff(6401,plain,
% 48.06/30.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43))),
% 48.06/30.57 inference(modus_ponens,[status(thm)],[6400, 6399])).
% 48.06/30.57 tff(6402,plain,
% 48.06/30.57 (v95(constB43) | (~v94(constB43))),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6401, 127, 6391])).
% 48.06/30.57 tff(6403,plain,
% 48.06/30.57 (~v94(constB43)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6402, 6398])).
% 48.06/30.57 tff(6404,plain,
% 48.06/30.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex2))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6405,plain,
% 48.06/30.57 (((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex2)) | v94(constB43) | v84(constB43, bitIndex2)) <=> ((~v84(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex2))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6406,plain,
% 48.06/30.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex2)) | v94(constB43) | v84(constB43, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex2)))),
% 48.06/30.57 inference(monotonicity,[status(thm)],[6405])).
% 48.06/30.57 tff(6407,plain,
% 48.06/30.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex2)) | v94(constB43) | v84(constB43, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex2))),
% 48.06/30.57 inference(transitivity,[status(thm)],[6406, 6404])).
% 48.06/30.57 tff(6408,plain,
% 48.06/30.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex2)) | v94(constB43) | v84(constB43, bitIndex2))),
% 48.06/30.57 inference(quant_inst,[status(thm)],[])).
% 48.06/30.57 tff(6409,plain,
% 48.06/30.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex2)),
% 48.06/30.57 inference(modus_ponens,[status(thm)],[6408, 6407])).
% 48.06/30.57 tff(6410,plain,
% 48.06/30.57 ((~v84(constB42, bitIndex2)) | v94(constB43) | v84(constB43, bitIndex2)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6409, 576, 6391])).
% 48.06/30.57 tff(6411,plain,
% 48.06/30.57 ((~v84(constB42, bitIndex2)) | v84(constB43, bitIndex2)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6410, 6403])).
% 48.06/30.57 tff(6412,plain,
% 48.06/30.57 (v84(constB43, bitIndex2)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6411, 6385])).
% 48.06/30.57 tff(6413,plain,
% 48.06/30.57 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB41)) | (~v124(constB41, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB41)) | (~v124(constB41, bitIndex1)))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6414,plain,
% 48.06/30.57 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB41)) | (~v124(constB41, bitIndex1)))),
% 48.06/30.57 inference(quant_inst,[status(thm)],[])).
% 48.06/30.57 tff(6415,plain,
% 48.06/30.57 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB41)) | (~v124(constB41, bitIndex1))),
% 48.06/30.57 inference(modus_ponens,[status(thm)],[6414, 6413])).
% 48.06/30.57 tff(6416,plain,
% 48.06/30.57 (~v124(constB41, bitIndex1)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6415, 1979, 6279])).
% 48.06/30.57 tff(6417,plain,
% 48.06/30.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB41, bitIndex1)) | v26(constB41) | v124(constB41, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB41, bitIndex1)) | v26(constB41) | v124(constB41, bitIndex1))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6418,plain,
% 48.06/30.57 ((v26(constB41) | v124(constB41, bitIndex1) | (~v121(constB41, bitIndex1))) <=> ((~v121(constB41, bitIndex1)) | v26(constB41) | v124(constB41, bitIndex1))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6419,plain,
% 48.06/30.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB41) | v124(constB41, bitIndex1) | (~v121(constB41, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB41, bitIndex1)) | v26(constB41) | v124(constB41, bitIndex1)))),
% 48.06/30.57 inference(monotonicity,[status(thm)],[6418])).
% 48.06/30.57 tff(6420,plain,
% 48.06/30.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB41) | v124(constB41, bitIndex1) | (~v121(constB41, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB41, bitIndex1)) | v26(constB41) | v124(constB41, bitIndex1))),
% 48.06/30.57 inference(transitivity,[status(thm)],[6419, 6417])).
% 48.06/30.57 tff(6421,plain,
% 48.06/30.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB41) | v124(constB41, bitIndex1) | (~v121(constB41, bitIndex1)))),
% 48.06/30.57 inference(quant_inst,[status(thm)],[])).
% 48.06/30.57 tff(6422,plain,
% 48.06/30.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB41, bitIndex1)) | v26(constB41) | v124(constB41, bitIndex1)),
% 48.06/30.57 inference(modus_ponens,[status(thm)],[6421, 6420])).
% 48.06/30.57 tff(6423,plain,
% 48.06/30.57 ((~v121(constB41, bitIndex1)) | v124(constB41, bitIndex1)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6422, 233, 6311])).
% 48.06/30.57 tff(6424,plain,
% 48.06/30.57 (~v121(constB41, bitIndex1)),
% 48.06/30.57 inference(unit_resolution,[status(thm)],[6423, 6416])).
% 48.06/30.57 tff(6425,plain,
% 48.06/30.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v121(constB41, bitIndex1) | (~v123(constB42, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB41, constB42)) | v121(constB41, bitIndex1) | (~v123(constB42, bitIndex1)))),
% 48.06/30.57 inference(rewrite,[status(thm)],[])).
% 48.06/30.57 tff(6426,plain,
% 48.06/30.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v121(constB41, bitIndex1) | (~v123(constB42, bitIndex1)))),
% 48.06/30.57 inference(quant_inst,[status(thm)],[])).
% 48.06/30.57 tff(6427,plain,
% 48.06/30.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB41, constB42)) | v121(constB41, bitIndex1) | (~v123(constB42, bitIndex1))),
% 48.06/30.58 inference(modus_ponens,[status(thm)],[6426, 6425])).
% 48.06/30.58 tff(6428,plain,
% 48.06/30.58 (v121(constB41, bitIndex1) | (~v123(constB42, bitIndex1))),
% 48.06/30.58 inference(unit_resolution,[status(thm)],[6427, 254, 6329])).
% 48.06/30.58 tff(6429,plain,
% 48.06/30.58 (~v123(constB42, bitIndex1)),
% 48.06/30.58 inference(unit_resolution,[status(thm)],[6428, 6424])).
% 48.06/30.58 tff(6430,plain,
% 48.06/30.58 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1) | (~v94(constB42)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1) | (~v94(constB42)))),
% 48.06/30.58 inference(rewrite,[status(thm)],[])).
% 48.06/30.58 tff(6431,plain,
% 48.06/30.58 (((~v84(constB42, bitIndex1)) | (~v94(constB42)) | v123(constB42, bitIndex1)) <=> ((~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1) | (~v94(constB42)))),
% 48.06/30.58 inference(rewrite,[status(thm)],[])).
% 48.06/30.58 tff(6432,plain,
% 48.06/30.58 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | (~v94(constB42)) | v123(constB42, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1) | (~v94(constB42))))),
% 48.06/30.58 inference(monotonicity,[status(thm)],[6431])).
% 48.06/30.58 tff(6433,plain,
% 48.06/30.58 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | (~v94(constB42)) | v123(constB42, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1) | (~v94(constB42)))),
% 48.06/30.58 inference(transitivity,[status(thm)],[6432, 6430])).
% 48.06/30.58 tff(6434,plain,
% 48.06/30.58 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | (~v94(constB42)) | v123(constB42, bitIndex1))),
% 48.06/30.58 inference(quant_inst,[status(thm)],[])).
% 48.06/30.58 tff(6435,plain,
% 48.06/30.58 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1) | (~v94(constB42))),
% 48.06/30.58 inference(modus_ponens,[status(thm)],[6434, 6433])).
% 48.06/30.58 tff(6436,plain,
% 48.06/30.58 ((~v84(constB42, bitIndex1)) | (~v94(constB42))),
% 48.06/30.58 inference(unit_resolution,[status(thm)],[6435, 532, 6429])).
% 48.06/30.58 tff(6437,plain,
% 48.06/30.58 (~v84(constB42, bitIndex1)),
% 48.06/30.58 inference(unit_resolution,[status(thm)],[6436, 6363])).
% 48.06/30.58 tff(6438,plain,
% 48.06/30.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex1)))),
% 48.06/30.58 inference(rewrite,[status(thm)],[])).
% 48.06/30.58 tff(6439,plain,
% 48.06/30.58 (((~nextState(constB42, constB43)) | v84(constB42, bitIndex1) | v94(constB43) | (~v84(constB43, bitIndex1))) <=> (v84(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex1)))),
% 48.06/30.58 inference(rewrite,[status(thm)],[])).
% 48.06/30.58 tff(6440,plain,
% 48.06/30.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex1) | v94(constB43) | (~v84(constB43, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex1))))),
% 48.06/30.58 inference(monotonicity,[status(thm)],[6439])).
% 48.13/30.58 tff(6441,plain,
% 48.13/30.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex1) | v94(constB43) | (~v84(constB43, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex1)))),
% 48.13/30.58 inference(transitivity,[status(thm)],[6440, 6438])).
% 48.13/30.58 tff(6442,plain,
% 48.13/30.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex1) | v94(constB43) | (~v84(constB43, bitIndex1)))),
% 48.13/30.58 inference(quant_inst,[status(thm)],[])).
% 48.13/30.58 tff(6443,plain,
% 48.13/30.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex1))),
% 48.13/30.58 inference(modus_ponens,[status(thm)],[6442, 6441])).
% 48.13/30.58 tff(6444,plain,
% 48.13/30.58 (v84(constB42, bitIndex1) | v94(constB43) | (~v84(constB43, bitIndex1))),
% 48.13/30.58 inference(unit_resolution,[status(thm)],[6443, 163, 6391])).
% 48.13/30.58 tff(6445,plain,
% 48.13/30.58 (v84(constB42, bitIndex1) | (~v84(constB43, bitIndex1))),
% 48.13/30.58 inference(unit_resolution,[status(thm)],[6444, 6403])).
% 48.13/30.58 tff(6446,plain,
% 48.13/30.58 (~v84(constB43, bitIndex1)),
% 48.13/30.58 inference(unit_resolution,[status(thm)],[6445, 6437])).
% 48.13/30.58 tff(6447,plain,
% 48.13/30.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB41)) | (~v124(constB41, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB41)) | (~v124(constB41, bitIndex0)))),
% 48.13/30.58 inference(rewrite,[status(thm)],[])).
% 48.13/30.58 tff(6448,plain,
% 48.13/30.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB41)) | (~v124(constB41, bitIndex0)))),
% 48.13/30.58 inference(quant_inst,[status(thm)],[])).
% 48.13/30.58 tff(6449,plain,
% 48.13/30.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB41)) | (~v124(constB41, bitIndex0))),
% 48.13/30.58 inference(modus_ponens,[status(thm)],[6448, 6447])).
% 48.13/30.58 tff(6450,plain,
% 48.13/30.58 (~v124(constB41, bitIndex0)),
% 48.13/30.58 inference(unit_resolution,[status(thm)],[6449, 2020, 6279])).
% 48.13/30.58 tff(6451,plain,
% 48.13/30.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB41, bitIndex0)) | v26(constB41) | v124(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB41, bitIndex0)) | v26(constB41) | v124(constB41, bitIndex0))),
% 48.13/30.58 inference(rewrite,[status(thm)],[])).
% 48.13/30.58 tff(6452,plain,
% 48.13/30.58 ((v26(constB41) | v124(constB41, bitIndex0) | (~v121(constB41, bitIndex0))) <=> ((~v121(constB41, bitIndex0)) | v26(constB41) | v124(constB41, bitIndex0))),
% 48.13/30.58 inference(rewrite,[status(thm)],[])).
% 48.13/30.58 tff(6453,plain,
% 48.13/30.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB41) | v124(constB41, bitIndex0) | (~v121(constB41, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB41, bitIndex0)) | v26(constB41) | v124(constB41, bitIndex0)))),
% 48.13/30.58 inference(monotonicity,[status(thm)],[6452])).
% 48.13/30.58 tff(6454,plain,
% 48.13/30.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB41) | v124(constB41, bitIndex0) | (~v121(constB41, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB41, bitIndex0)) | v26(constB41) | v124(constB41, bitIndex0))),
% 48.13/30.58 inference(transitivity,[status(thm)],[6453, 6451])).
% 48.13/30.58 tff(6455,plain,
% 48.13/30.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB41) | v124(constB41, bitIndex0) | (~v121(constB41, bitIndex0)))),
% 48.13/30.58 inference(quant_inst,[status(thm)],[])).
% 48.13/30.58 tff(6456,plain,
% 48.13/30.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB41, bitIndex0)) | v26(constB41) | v124(constB41, bitIndex0)),
% 48.13/30.58 inference(modus_ponens,[status(thm)],[6455, 6454])).
% 48.13/30.58 tff(6457,plain,
% 48.13/30.58 ((~v121(constB41, bitIndex0)) | v124(constB41, bitIndex0)),
% 48.13/30.58 inference(unit_resolution,[status(thm)],[6456, 607, 6311])).
% 48.13/30.58 tff(6458,plain,
% 48.13/30.58 (~v121(constB41, bitIndex0)),
% 48.13/30.58 inference(unit_resolution,[status(thm)],[6457, 6450])).
% 48.13/30.58 tff(6459,plain,
% 48.13/30.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v121(constB41, bitIndex0) | (~v123(constB42, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB41, constB42)) | v121(constB41, bitIndex0) | (~v123(constB42, bitIndex0)))),
% 48.13/30.58 inference(rewrite,[status(thm)],[])).
% 48.13/30.58 tff(6460,plain,
% 48.13/30.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v121(constB41, bitIndex0) | (~v123(constB42, bitIndex0)))),
% 48.13/30.58 inference(quant_inst,[status(thm)],[])).
% 48.13/30.58 tff(6461,plain,
% 48.13/30.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB41, constB42)) | v121(constB41, bitIndex0) | (~v123(constB42, bitIndex0))),
% 48.13/30.58 inference(modus_ponens,[status(thm)],[6460, 6459])).
% 48.13/30.58 tff(6462,plain,
% 48.13/30.58 (v121(constB41, bitIndex0) | (~v123(constB42, bitIndex0))),
% 48.13/30.58 inference(unit_resolution,[status(thm)],[6461, 637, 6329])).
% 48.13/30.58 tff(6463,plain,
% 48.13/30.58 (~v123(constB42, bitIndex0)),
% 48.13/30.58 inference(unit_resolution,[status(thm)],[6462, 6458])).
% 48.13/30.58 tff(6464,plain,
% 48.13/30.58 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | v123(constB42, bitIndex0) | (~v94(constB42)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB42, bitIndex0)) | v123(constB42, bitIndex0) | (~v94(constB42)))),
% 48.13/30.58 inference(rewrite,[status(thm)],[])).
% 48.13/30.58 tff(6465,plain,
% 48.13/30.58 (((~v84(constB42, bitIndex0)) | (~v94(constB42)) | v123(constB42, bitIndex0)) <=> ((~v84(constB42, bitIndex0)) | v123(constB42, bitIndex0) | (~v94(constB42)))),
% 48.13/30.58 inference(rewrite,[status(thm)],[])).
% 48.13/30.58 tff(6466,plain,
% 48.13/30.58 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | (~v94(constB42)) | v123(constB42, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | v123(constB42, bitIndex0) | (~v94(constB42))))),
% 48.13/30.58 inference(monotonicity,[status(thm)],[6465])).
% 48.13/30.58 tff(6467,plain,
% 48.13/30.58 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | (~v94(constB42)) | v123(constB42, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB42, bitIndex0)) | v123(constB42, bitIndex0) | (~v94(constB42)))),
% 48.13/30.58 inference(transitivity,[status(thm)],[6466, 6464])).
% 48.13/30.58 tff(6468,plain,
% 48.13/30.58 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | (~v94(constB42)) | v123(constB42, bitIndex0))),
% 48.13/30.58 inference(quant_inst,[status(thm)],[])).
% 48.13/30.58 tff(6469,plain,
% 48.13/30.58 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB42, bitIndex0)) | v123(constB42, bitIndex0) | (~v94(constB42))),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6468, 6467])).
% 48.13/30.59 tff(6470,plain,
% 48.13/30.59 ((~v84(constB42, bitIndex0)) | (~v94(constB42))),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6469, 652, 6463])).
% 48.13/30.59 tff(6471,plain,
% 48.13/30.59 (~v84(constB42, bitIndex0)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6470, 6363])).
% 48.13/30.59 tff(6472,plain,
% 48.13/30.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex0)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6473,plain,
% 48.13/30.59 (((~nextState(constB42, constB43)) | v84(constB42, bitIndex0) | v94(constB43) | (~v84(constB43, bitIndex0))) <=> (v84(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex0)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6474,plain,
% 48.13/30.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex0) | v94(constB43) | (~v84(constB43, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex0))))),
% 48.13/30.59 inference(monotonicity,[status(thm)],[6473])).
% 48.13/30.59 tff(6475,plain,
% 48.13/30.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex0) | v94(constB43) | (~v84(constB43, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex0)))),
% 48.13/30.59 inference(transitivity,[status(thm)],[6474, 6472])).
% 48.13/30.59 tff(6476,plain,
% 48.13/30.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex0) | v94(constB43) | (~v84(constB43, bitIndex0)))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6477,plain,
% 48.13/30.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex0))),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6476, 6475])).
% 48.13/30.59 tff(6478,plain,
% 48.13/30.59 (v84(constB42, bitIndex0) | v94(constB43) | (~v84(constB43, bitIndex0))),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6477, 184, 6391])).
% 48.13/30.59 tff(6479,plain,
% 48.13/30.59 (v84(constB42, bitIndex0) | (~v84(constB43, bitIndex0))),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6478, 6403])).
% 48.13/30.59 tff(6480,plain,
% 48.13/30.59 (~v84(constB43, bitIndex0)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6479, 6471])).
% 48.13/30.59 tff(6481,plain,
% 48.13/30.59 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB43, bitIndex0) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex2)) | v172(constB43))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB43, bitIndex0) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex2)) | v172(constB43))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6482,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB43, bitIndex0) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex2)) | v172(constB43))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6483,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB43, bitIndex0) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex2)) | v172(constB43)),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6482, 6481])).
% 48.13/30.59 tff(6484,plain,
% 48.13/30.59 (v172(constB43)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6483, 679, 6480, 6446, 6412])).
% 48.13/30.59 tff(6485,plain,
% 48.13/30.59 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB43) | (~v172(constB43)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB43) | (~v172(constB43)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6486,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB43) | (~v172(constB43)))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6487,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB43) | (~v172(constB43))),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6486, 6485])).
% 48.13/30.59 tff(6488,plain,
% 48.13/30.59 (v109(constB43)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6487, 740, 6484])).
% 48.13/30.59 tff(6489,plain,
% 48.13/30.59 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB43)) | v108(constB43))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6490,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB43)) | v108(constB43))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6491,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB43)) | v108(constB43)),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6490, 6489])).
% 48.13/30.59 tff(6492,plain,
% 48.13/30.59 (v108(constB43)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6491, 320, 6488])).
% 48.13/30.59 tff(6493,plain,
% 48.13/30.59 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB43) | (~v108(constB43)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB43) | (~v108(constB43)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6494,plain,
% 48.13/30.59 (((~v108(constB43)) | v107(constB43)) <=> (v107(constB43) | (~v108(constB43)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6495,plain,
% 48.13/30.59 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB43)) | v107(constB43))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB43) | (~v108(constB43))))),
% 48.13/30.59 inference(monotonicity,[status(thm)],[6494])).
% 48.13/30.59 tff(6496,plain,
% 48.13/30.59 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB43)) | v107(constB43))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB43) | (~v108(constB43)))),
% 48.13/30.59 inference(transitivity,[status(thm)],[6495, 6493])).
% 48.13/30.59 tff(6497,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB43)) | v107(constB43))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6498,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB43) | (~v108(constB43))),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 48.13/30.59 tff(6499,plain,
% 48.13/30.59 (v107(constB43)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6498, 334, 6492])).
% 48.13/30.59 tff(6500,assumption,(v26(constB43)), introduced(assumption)).
% 48.13/30.59 tff(6501,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB43))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6502,plain,
% 48.13/30.59 ($false),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6501, 55, 6500])).
% 48.13/30.59 tff(6503,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 48.13/30.59 tff(6504,plain,
% 48.13/30.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | v106(constB43) | (~v107(constB43)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB43) | v106(constB43) | (~v107(constB43)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6505,plain,
% 48.13/30.59 ((v26(constB43) | (~v107(constB43)) | v106(constB43)) <=> (v26(constB43) | v106(constB43) | (~v107(constB43)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6506,plain,
% 48.13/30.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | (~v107(constB43)) | v106(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | v106(constB43) | (~v107(constB43))))),
% 48.13/30.59 inference(monotonicity,[status(thm)],[6505])).
% 48.13/30.59 tff(6507,plain,
% 48.13/30.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | (~v107(constB43)) | v106(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB43) | v106(constB43) | (~v107(constB43)))),
% 48.13/30.59 inference(transitivity,[status(thm)],[6506, 6504])).
% 48.13/30.59 tff(6508,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | (~v107(constB43)) | v106(constB43))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6509,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB43) | v106(constB43) | (~v107(constB43))),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 48.13/30.59 tff(6510,plain,
% 48.13/30.59 (v106(constB43) | (~v107(constB43))),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6509, 348, 6503])).
% 48.13/30.59 tff(6511,plain,
% 48.13/30.59 (v106(constB43)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6510, 6499])).
% 48.13/30.59 tff(6512,plain,
% 48.13/30.59 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB43) | (~v106(constB43)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB43) | (~v106(constB43)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6513,plain,
% 48.13/30.59 (((~v106(constB43)) | v102(constB43)) <=> (v102(constB43) | (~v106(constB43)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6514,plain,
% 48.13/30.59 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB43)) | v102(constB43))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB43) | (~v106(constB43))))),
% 48.13/30.59 inference(monotonicity,[status(thm)],[6513])).
% 48.13/30.59 tff(6515,plain,
% 48.13/30.59 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB43)) | v102(constB43))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB43) | (~v106(constB43)))),
% 48.13/30.59 inference(transitivity,[status(thm)],[6514, 6512])).
% 48.13/30.59 tff(6516,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB43)) | v102(constB43))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6517,plain,
% 48.13/30.59 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB43) | (~v106(constB43))),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 48.13/30.59 tff(6518,plain,
% 48.13/30.59 (v102(constB43)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6517, 504, 6511])).
% 48.13/30.59 tff(6519,plain,
% 48.13/30.59 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6520,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 48.13/30.59 tff(6521,plain,
% 48.13/30.59 (nextState(constB43, constB44)),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6520, 6519])).
% 48.13/30.59 tff(6522,plain,
% 48.13/30.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6523,plain,
% 48.13/30.59 (((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44)) <=> ((~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6524,plain,
% 48.13/30.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43))))),
% 48.13/30.59 inference(monotonicity,[status(thm)],[6523])).
% 48.13/30.59 tff(6525,plain,
% 48.13/30.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))),
% 48.13/30.59 inference(transitivity,[status(thm)],[6524, 6522])).
% 48.13/30.59 tff(6526,plain,
% 48.13/30.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6527,plain,
% 48.13/30.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43))),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6526, 6525])).
% 48.13/30.59 tff(6528,plain,
% 48.13/30.59 (v104(constB44) | (~v102(constB43))),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6527, 489, 6521])).
% 48.13/30.59 tff(6529,plain,
% 48.13/30.59 (v104(constB44)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6528, 6518])).
% 48.13/30.59 tff(6530,plain,
% 48.13/30.59 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6531,plain,
% 48.13/30.59 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44)))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6532,plain,
% 48.13/30.59 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44))),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6531, 6530])).
% 48.13/30.59 tff(6533,plain,
% 48.13/30.59 (~v98(constB44)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6532, 423, 6521, 6388])).
% 48.13/30.59 tff(6534,plain,
% 48.13/30.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB43, constB44)) | v96(constB44) | v98(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB43, constB44)) | v96(constB44) | v98(constB44))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6535,plain,
% 48.13/30.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB43, constB44)) | v96(constB44) | v98(constB44))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6536,plain,
% 48.13/30.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB43, constB44)) | v96(constB44) | v98(constB44)),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6535, 6534])).
% 48.13/30.59 tff(6537,plain,
% 48.13/30.59 (v96(constB44) | v98(constB44)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6536, 437, 6521])).
% 48.13/30.59 tff(6538,plain,
% 48.13/30.59 (v96(constB44)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6537, 6533])).
% 48.13/30.59 tff(6539,plain,
% 48.13/30.59 (v1(constB44) <=> v1(constB44)),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6540,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 48.13/30.59 tff(6541,plain,
% 48.13/30.59 (v1(constB44)),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6540, 6539])).
% 48.13/30.59 tff(6542,plain,
% 48.13/30.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6543,plain,
% 48.13/30.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44)))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6544,plain,
% 48.13/30.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44))),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 48.13/30.59 tff(6545,plain,
% 48.13/30.59 (v95(constB44) | (~v96(constB44))),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6544, 455, 6521, 6541])).
% 48.13/30.59 tff(6546,plain,
% 48.13/30.59 (v95(constB44)),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6545, 6538])).
% 48.13/30.59 tff(6547,plain,
% 48.13/30.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6548,plain,
% 48.13/30.59 (((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44)) <=> ((~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))),
% 48.13/30.59 inference(rewrite,[status(thm)],[])).
% 48.13/30.59 tff(6549,plain,
% 48.13/30.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44))))),
% 48.13/30.59 inference(monotonicity,[status(thm)],[6548])).
% 48.13/30.59 tff(6550,plain,
% 48.13/30.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))),
% 48.13/30.59 inference(transitivity,[status(thm)],[6549, 6547])).
% 48.13/30.59 tff(6551,plain,
% 48.13/30.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44))),
% 48.13/30.59 inference(quant_inst,[status(thm)],[])).
% 48.13/30.59 tff(6552,plain,
% 48.13/30.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44))),
% 48.13/30.59 inference(modus_ponens,[status(thm)],[6551, 6550])).
% 48.13/30.59 tff(6553,plain,
% 48.13/30.59 (v94(constB44) | (~v95(constB44)) | (~v104(constB44))),
% 48.13/30.59 inference(unit_resolution,[status(thm)],[6552, 470, 6521])).
% 48.13/30.59 tff(6554,plain,
% 48.13/30.59 (v94(constB44) | (~v104(constB44))),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6553, 6546])).
% 48.13/30.60 tff(6555,plain,
% 48.13/30.60 (v94(constB44)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6554, 6529])).
% 48.13/30.60 tff(6556,plain,
% 48.13/30.60 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB43)) | v124(constB43, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB43)) | v124(constB43, bitIndex2))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6557,plain,
% 48.13/30.60 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB43)) | v124(constB43, bitIndex2))),
% 48.13/30.60 inference(quant_inst,[status(thm)],[])).
% 48.13/30.60 tff(6558,plain,
% 48.13/30.60 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB43)) | v124(constB43, bitIndex2)),
% 48.13/30.60 inference(modus_ponens,[status(thm)],[6557, 6556])).
% 48.13/30.60 tff(6559,plain,
% 48.13/30.60 (v124(constB43, bitIndex2)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6558, 691, 6484])).
% 48.13/30.60 tff(6560,plain,
% 48.13/30.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6561,plain,
% 48.13/30.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2))),
% 48.13/30.60 inference(quant_inst,[status(thm)],[])).
% 48.13/30.60 tff(6562,plain,
% 48.13/30.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2)),
% 48.13/30.60 inference(modus_ponens,[status(thm)],[6561, 6560])).
% 48.13/30.60 tff(6563,plain,
% 48.13/30.60 ((~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6562, 374, 6503])).
% 48.13/30.60 tff(6564,plain,
% 48.13/30.60 (v121(constB43, bitIndex2)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6563, 6559])).
% 48.13/30.60 tff(6565,plain,
% 48.13/30.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6566,plain,
% 48.13/30.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2))),
% 48.13/30.60 inference(quant_inst,[status(thm)],[])).
% 48.13/30.60 tff(6567,plain,
% 48.13/30.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2)),
% 48.13/30.60 inference(modus_ponens,[status(thm)],[6566, 6565])).
% 48.13/30.60 tff(6568,plain,
% 48.13/30.60 ((~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6567, 389, 6521])).
% 48.13/30.60 tff(6569,plain,
% 48.13/30.60 (v123(constB44, bitIndex2)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6568, 6564])).
% 48.13/30.60 tff(6570,plain,
% 48.13/30.60 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6571,plain,
% 48.13/30.60 ((v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2))) <=> (v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6572,plain,
% 48.13/30.60 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44))))),
% 48.13/30.60 inference(monotonicity,[status(thm)],[6571])).
% 48.13/30.60 tff(6573,plain,
% 48.13/30.60 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))),
% 48.13/30.60 inference(transitivity,[status(thm)],[6572, 6570])).
% 48.13/30.60 tff(6574,plain,
% 48.13/30.60 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2)))),
% 48.13/30.60 inference(quant_inst,[status(thm)],[])).
% 48.13/30.60 tff(6575,plain,
% 48.13/30.60 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44))),
% 48.13/30.60 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 48.13/30.60 tff(6576,plain,
% 48.13/30.60 (v84(constB44, bitIndex2) | (~v94(constB44))),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6575, 405, 6569])).
% 48.13/30.60 tff(6577,plain,
% 48.13/30.60 (v84(constB44, bitIndex2)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6576, 6555])).
% 48.13/30.60 tff(6578,plain,
% 48.13/30.60 ((~v1(constB45)) <=> (~v1(constB45))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6579,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 48.13/30.60 tff(6580,plain,
% 48.13/30.60 (~v1(constB45)),
% 48.13/30.60 inference(modus_ponens,[status(thm)],[6579, 6578])).
% 48.13/30.60 tff(6581,plain,
% 48.13/30.60 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6582,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 48.13/30.60 tff(6583,plain,
% 48.13/30.60 (nextState(constB44, constB45)),
% 48.13/30.60 inference(modus_ponens,[status(thm)],[6582, 6581])).
% 48.13/30.60 tff(6584,plain,
% 48.13/30.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6585,plain,
% 48.13/30.60 (((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6586,plain,
% 48.13/30.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45))))),
% 48.13/30.60 inference(monotonicity,[status(thm)],[6585])).
% 48.13/30.60 tff(6587,plain,
% 48.13/30.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))),
% 48.13/30.60 inference(transitivity,[status(thm)],[6586, 6584])).
% 48.13/30.60 tff(6588,plain,
% 48.13/30.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45))),
% 48.13/30.60 inference(quant_inst,[status(thm)],[])).
% 48.13/30.60 tff(6589,plain,
% 48.13/30.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45))),
% 48.13/30.60 inference(modus_ponens,[status(thm)],[6588, 6587])).
% 48.13/30.60 tff(6590,plain,
% 48.13/30.60 (~v95(constB45)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6589, 110, 6583, 6580])).
% 48.13/30.60 tff(6591,plain,
% 48.13/30.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45)))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6592,plain,
% 48.13/30.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45)))),
% 48.13/30.60 inference(quant_inst,[status(thm)],[])).
% 48.13/30.60 tff(6593,plain,
% 48.13/30.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45))),
% 48.13/30.60 inference(modus_ponens,[status(thm)],[6592, 6591])).
% 48.13/30.60 tff(6594,plain,
% 48.13/30.60 (v95(constB45) | (~v94(constB45))),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6593, 127, 6583])).
% 48.13/30.60 tff(6595,plain,
% 48.13/30.60 (~v94(constB45)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6594, 6590])).
% 48.13/30.60 tff(6596,plain,
% 48.13/30.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6597,plain,
% 48.13/30.60 (((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2)) <=> ((~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6598,plain,
% 48.13/30.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2)))),
% 48.13/30.60 inference(monotonicity,[status(thm)],[6597])).
% 48.13/30.60 tff(6599,plain,
% 48.13/30.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))),
% 48.13/30.60 inference(transitivity,[status(thm)],[6598, 6596])).
% 48.13/30.60 tff(6600,plain,
% 48.13/30.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2))),
% 48.13/30.60 inference(quant_inst,[status(thm)],[])).
% 48.13/30.60 tff(6601,plain,
% 48.13/30.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2)),
% 48.13/30.60 inference(modus_ponens,[status(thm)],[6600, 6599])).
% 48.13/30.60 tff(6602,plain,
% 48.13/30.60 ((~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6601, 576, 6583])).
% 48.13/30.60 tff(6603,plain,
% 48.13/30.60 ((~v84(constB44, bitIndex2)) | v84(constB45, bitIndex2)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6602, 6595])).
% 48.13/30.60 tff(6604,plain,
% 48.13/30.60 (v84(constB45, bitIndex2)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6603, 6577])).
% 48.13/30.60 tff(6605,plain,
% 48.13/30.60 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB43)) | v124(constB43, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB43)) | v124(constB43, bitIndex1))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6606,plain,
% 48.13/30.60 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB43)) | v124(constB43, bitIndex1))),
% 48.13/30.60 inference(quant_inst,[status(thm)],[])).
% 48.13/30.60 tff(6607,plain,
% 48.13/30.60 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB43)) | v124(constB43, bitIndex1)),
% 48.13/30.60 inference(modus_ponens,[status(thm)],[6606, 6605])).
% 48.13/30.60 tff(6608,plain,
% 48.13/30.60 (v124(constB43, bitIndex1)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6607, 843, 6484])).
% 48.13/30.60 tff(6609,plain,
% 48.13/30.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB43) | (~v124(constB43, bitIndex1)) | v121(constB43, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB43) | (~v124(constB43, bitIndex1)) | v121(constB43, bitIndex1))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6610,plain,
% 48.13/30.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB43) | (~v124(constB43, bitIndex1)) | v121(constB43, bitIndex1))),
% 48.13/30.60 inference(quant_inst,[status(thm)],[])).
% 48.13/30.60 tff(6611,plain,
% 48.13/30.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB43) | (~v124(constB43, bitIndex1)) | v121(constB43, bitIndex1)),
% 48.13/30.60 inference(modus_ponens,[status(thm)],[6610, 6609])).
% 48.13/30.60 tff(6612,plain,
% 48.13/30.60 ((~v124(constB43, bitIndex1)) | v121(constB43, bitIndex1)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6611, 857, 6503])).
% 48.13/30.60 tff(6613,plain,
% 48.13/30.60 (v121(constB43, bitIndex1)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6612, 6608])).
% 48.13/30.60 tff(6614,plain,
% 48.13/30.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v121(constB43, bitIndex1)) | v123(constB44, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB43, constB44)) | (~v121(constB43, bitIndex1)) | v123(constB44, bitIndex1))),
% 48.13/30.60 inference(rewrite,[status(thm)],[])).
% 48.13/30.60 tff(6615,plain,
% 48.13/30.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v121(constB43, bitIndex1)) | v123(constB44, bitIndex1))),
% 48.13/30.60 inference(quant_inst,[status(thm)],[])).
% 48.13/30.60 tff(6616,plain,
% 48.13/30.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB43, constB44)) | (~v121(constB43, bitIndex1)) | v123(constB44, bitIndex1)),
% 48.13/30.60 inference(modus_ponens,[status(thm)],[6615, 6614])).
% 48.13/30.60 tff(6617,plain,
% 48.13/30.60 ((~v121(constB43, bitIndex1)) | v123(constB44, bitIndex1)),
% 48.13/30.60 inference(unit_resolution,[status(thm)],[6616, 872, 6521])).
% 48.13/30.61 tff(6618,plain,
% 48.13/30.61 (v123(constB44, bitIndex1)),
% 48.13/30.61 inference(unit_resolution,[status(thm)],[6617, 6613])).
% 48.13/30.61 tff(6619,plain,
% 48.13/30.61 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~v123(constB44, bitIndex1)) | (~v94(constB44)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB44, bitIndex1) | (~v123(constB44, bitIndex1)) | (~v94(constB44)))),
% 48.13/30.61 inference(rewrite,[status(thm)],[])).
% 48.13/30.61 tff(6620,plain,
% 48.13/30.61 ((v84(constB44, bitIndex1) | (~v94(constB44)) | (~v123(constB44, bitIndex1))) <=> (v84(constB44, bitIndex1) | (~v123(constB44, bitIndex1)) | (~v94(constB44)))),
% 48.13/30.61 inference(rewrite,[status(thm)],[])).
% 48.13/30.61 tff(6621,plain,
% 48.13/30.61 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~v94(constB44)) | (~v123(constB44, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~v123(constB44, bitIndex1)) | (~v94(constB44))))),
% 48.13/30.61 inference(monotonicity,[status(thm)],[6620])).
% 48.13/30.61 tff(6622,plain,
% 48.13/30.61 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~v94(constB44)) | (~v123(constB44, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB44, bitIndex1) | (~v123(constB44, bitIndex1)) | (~v94(constB44)))),
% 48.13/30.61 inference(transitivity,[status(thm)],[6621, 6619])).
% 48.13/30.61 tff(6623,plain,
% 48.13/30.61 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~v94(constB44)) | (~v123(constB44, bitIndex1)))),
% 48.13/30.61 inference(quant_inst,[status(thm)],[])).
% 48.13/30.61 tff(6624,plain,
% 48.13/30.61 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB44, bitIndex1) | (~v123(constB44, bitIndex1)) | (~v94(constB44))),
% 48.13/30.61 inference(modus_ponens,[status(thm)],[6623, 6622])).
% 48.13/30.61 tff(6625,plain,
% 48.13/30.61 (v84(constB44, bitIndex1) | (~v94(constB44))),
% 48.13/30.61 inference(unit_resolution,[status(thm)],[6624, 887, 6618])).
% 48.13/30.61 tff(6626,plain,
% 48.13/30.61 (v84(constB44, bitIndex1)),
% 48.13/30.61 inference(unit_resolution,[status(thm)],[6625, 6555])).
% 48.13/30.61 tff(6627,plain,
% 48.13/30.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex1))),
% 48.13/30.61 inference(rewrite,[status(thm)],[])).
% 48.13/30.61 tff(6628,plain,
% 48.13/30.61 (((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex1)) | v94(constB45) | v84(constB45, bitIndex1)) <=> ((~v84(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex1))),
% 48.13/30.61 inference(rewrite,[status(thm)],[])).
% 48.13/30.61 tff(6629,plain,
% 48.13/30.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex1)) | v94(constB45) | v84(constB45, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex1)))),
% 48.13/30.61 inference(monotonicity,[status(thm)],[6628])).
% 48.13/30.61 tff(6630,plain,
% 48.13/30.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex1)) | v94(constB45) | v84(constB45, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex1))),
% 48.13/30.61 inference(transitivity,[status(thm)],[6629, 6627])).
% 48.13/30.61 tff(6631,plain,
% 48.13/30.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex1)) | v94(constB45) | v84(constB45, bitIndex1))),
% 48.13/30.61 inference(quant_inst,[status(thm)],[])).
% 48.13/30.61 tff(6632,plain,
% 48.13/30.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex1)),
% 48.13/30.61 inference(modus_ponens,[status(thm)],[6631, 6630])).
% 48.13/30.61 tff(6633,plain,
% 48.13/30.61 ((~v84(constB44, bitIndex1)) | v94(constB45) | v84(constB45, bitIndex1)),
% 48.13/30.61 inference(unit_resolution,[status(thm)],[6632, 905, 6583])).
% 48.13/30.61 tff(6634,plain,
% 48.13/30.61 ((~v84(constB44, bitIndex1)) | v84(constB45, bitIndex1)),
% 48.13/30.61 inference(unit_resolution,[status(thm)],[6633, 6595])).
% 48.13/30.61 tff(6635,plain,
% 48.13/30.61 (v84(constB45, bitIndex1)),
% 48.13/30.61 inference(unit_resolution,[status(thm)],[6634, 6626])).
% 48.13/30.61 tff(6636,plain,
% 48.13/30.61 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB43)) | (~v124(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB43)) | (~v124(constB43, bitIndex0)))),
% 48.13/30.61 inference(rewrite,[status(thm)],[])).
% 48.13/30.61 tff(6637,plain,
% 48.13/30.61 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB43)) | (~v124(constB43, bitIndex0)))),
% 48.13/30.61 inference(quant_inst,[status(thm)],[])).
% 48.13/30.61 tff(6638,plain,
% 48.13/30.61 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB43)) | (~v124(constB43, bitIndex0))),
% 48.13/30.61 inference(modus_ponens,[status(thm)],[6637, 6636])).
% 48.13/30.61 tff(6639,plain,
% 48.13/30.61 (~v124(constB43, bitIndex0)),
% 48.13/30.61 inference(unit_resolution,[status(thm)],[6638, 921, 6484])).
% 48.13/30.61 tff(6640,plain,
% 48.13/30.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))),
% 48.13/30.61 inference(rewrite,[status(thm)],[])).
% 48.13/30.61 tff(6641,plain,
% 48.13/30.61 ((v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0))) <=> ((~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))),
% 48.13/30.61 inference(rewrite,[status(thm)],[])).
% 48.13/30.61 tff(6642,plain,
% 48.13/30.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0)))),
% 48.13/30.61 inference(monotonicity,[status(thm)],[6641])).
% 48.13/30.61 tff(6643,plain,
% 48.13/30.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))),
% 48.13/30.61 inference(transitivity,[status(thm)],[6642, 6640])).
% 48.13/30.61 tff(6644,plain,
% 48.13/30.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0)))),
% 48.13/30.61 inference(quant_inst,[status(thm)],[])).
% 48.13/30.61 tff(6645,plain,
% 48.13/30.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0)),
% 48.13/30.61 inference(modus_ponens,[status(thm)],[6644, 6643])).
% 48.13/30.61 tff(6646,plain,
% 48.13/30.61 ((~v121(constB43, bitIndex0)) | v124(constB43, bitIndex0)),
% 48.13/30.61 inference(unit_resolution,[status(thm)],[6645, 607, 6503])).
% 48.13/30.61 tff(6647,plain,
% 48.13/30.61 (~v121(constB43, bitIndex0)),
% 48.13/30.61 inference(unit_resolution,[status(thm)],[6646, 6639])).
% 48.13/30.61 tff(6648,plain,
% 48.13/30.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0)))),
% 48.13/30.61 inference(rewrite,[status(thm)],[])).
% 48.13/30.61 tff(6649,plain,
% 48.13/30.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0)))),
% 48.13/30.61 inference(quant_inst,[status(thm)],[])).
% 48.13/30.61 tff(6650,plain,
% 48.13/30.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0))),
% 48.13/30.61 inference(modus_ponens,[status(thm)],[6649, 6648])).
% 48.13/30.61 tff(6651,plain,
% 48.13/30.61 (v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0))),
% 48.13/30.61 inference(unit_resolution,[status(thm)],[6650, 637, 6521])).
% 48.13/30.61 tff(6652,plain,
% 48.13/30.61 (~v123(constB44, bitIndex0)),
% 48.13/30.61 inference(unit_resolution,[status(thm)],[6651, 6647])).
% 48.13/30.61 tff(6653,plain,
% 48.13/30.61 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))),
% 48.13/30.61 inference(rewrite,[status(thm)],[])).
% 48.13/30.61 tff(6654,plain,
% 48.13/30.61 (((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0)) <=> ((~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))),
% 48.13/30.61 inference(rewrite,[status(thm)],[])).
% 48.13/30.61 tff(6655,plain,
% 48.13/30.61 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44))))),
% 48.13/30.61 inference(monotonicity,[status(thm)],[6654])).
% 48.13/30.61 tff(6656,plain,
% 48.13/30.61 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))),
% 48.13/30.61 inference(transitivity,[status(thm)],[6655, 6653])).
% 48.13/30.61 tff(6657,plain,
% 48.13/30.61 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0))),
% 48.13/30.61 inference(quant_inst,[status(thm)],[])).
% 48.13/30.61 tff(6658,plain,
% 48.13/30.61 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44))),
% 48.13/30.61 inference(modus_ponens,[status(thm)],[6657, 6656])).
% 48.13/30.61 tff(6659,plain,
% 48.13/30.61 ((~v84(constB44, bitIndex0)) | (~v94(constB44))),
% 48.13/30.61 inference(unit_resolution,[status(thm)],[6658, 652, 6652])).
% 48.13/30.62 tff(6660,plain,
% 48.13/30.62 (~v84(constB44, bitIndex0)),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6659, 6555])).
% 48.13/30.62 tff(6661,plain,
% 48.13/30.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6662,plain,
% 48.13/30.62 (((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0))) <=> (v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6663,plain,
% 48.13/30.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0))))),
% 48.13/30.62 inference(monotonicity,[status(thm)],[6662])).
% 48.13/30.62 tff(6664,plain,
% 48.13/30.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 48.13/30.62 inference(transitivity,[status(thm)],[6663, 6661])).
% 48.13/30.62 tff(6665,plain,
% 48.13/30.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 48.13/30.62 inference(quant_inst,[status(thm)],[])).
% 48.13/30.62 tff(6666,plain,
% 48.13/30.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0))),
% 48.13/30.62 inference(modus_ponens,[status(thm)],[6665, 6664])).
% 48.13/30.62 tff(6667,plain,
% 48.13/30.62 (v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0))),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6666, 184, 6583])).
% 48.13/30.62 tff(6668,plain,
% 48.13/30.62 (v84(constB44, bitIndex0) | (~v84(constB45, bitIndex0))),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6667, 6595])).
% 48.13/30.62 tff(6669,plain,
% 48.13/30.62 (~v84(constB45, bitIndex0)),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6668, 6660])).
% 48.13/30.62 tff(6670,plain,
% 48.13/30.62 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB45, bitIndex0) | (~v84(constB45, bitIndex1)) | (~v84(constB45, bitIndex2)) | v119(constB45))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB45, bitIndex0) | (~v84(constB45, bitIndex1)) | (~v84(constB45, bitIndex2)) | v119(constB45))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6671,plain,
% 48.13/30.62 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB45, bitIndex0) | (~v84(constB45, bitIndex1)) | (~v84(constB45, bitIndex2)) | v119(constB45))),
% 48.13/30.62 inference(quant_inst,[status(thm)],[])).
% 48.13/30.62 tff(6672,plain,
% 48.13/30.62 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB45, bitIndex0) | (~v84(constB45, bitIndex1)) | (~v84(constB45, bitIndex2)) | v119(constB45)),
% 48.13/30.62 inference(modus_ponens,[status(thm)],[6671, 6670])).
% 48.13/30.62 tff(6673,plain,
% 48.13/30.62 (v119(constB45)),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6672, 965, 6669, 6635, 6604])).
% 48.13/30.62 tff(6674,plain,
% 48.13/30.62 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB45)) | v107(constB45))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB45)) | v107(constB45))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6675,plain,
% 48.13/30.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB45)) | v107(constB45))),
% 48.13/30.62 inference(quant_inst,[status(thm)],[])).
% 48.13/30.62 tff(6676,plain,
% 48.13/30.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB45)) | v107(constB45)),
% 48.13/30.62 inference(modus_ponens,[status(thm)],[6675, 6674])).
% 48.13/30.62 tff(6677,plain,
% 48.13/30.62 (v107(constB45)),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6676, 976, 6673])).
% 48.13/30.62 tff(6678,assumption,(v26(constB45)), introduced(assumption)).
% 48.13/30.62 tff(6679,plain,
% 48.13/30.62 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB45))),
% 48.13/30.62 inference(quant_inst,[status(thm)],[])).
% 48.13/30.62 tff(6680,plain,
% 48.13/30.62 ($false),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6679, 55, 6678])).
% 48.13/30.62 tff(6681,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 48.13/30.62 tff(6682,plain,
% 48.13/30.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB45) | (~v107(constB45)) | v106(constB45))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB45) | (~v107(constB45)) | v106(constB45))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6683,plain,
% 48.13/30.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB45) | (~v107(constB45)) | v106(constB45))),
% 48.13/30.62 inference(quant_inst,[status(thm)],[])).
% 48.13/30.62 tff(6684,plain,
% 48.13/30.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB45) | (~v107(constB45)) | v106(constB45)),
% 48.13/30.62 inference(modus_ponens,[status(thm)],[6683, 6682])).
% 48.13/30.62 tff(6685,plain,
% 48.13/30.62 ((~v107(constB45)) | v106(constB45)),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6684, 348, 6681])).
% 48.13/30.62 tff(6686,plain,
% 48.13/30.62 (v106(constB45)),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6685, 6677])).
% 48.13/30.62 tff(6687,plain,
% 48.13/30.62 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB45) | (~v106(constB45)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB45) | (~v106(constB45)))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6688,plain,
% 48.13/30.62 (((~v106(constB45)) | v102(constB45)) <=> (v102(constB45) | (~v106(constB45)))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6689,plain,
% 48.13/30.62 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB45)) | v102(constB45))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB45) | (~v106(constB45))))),
% 48.13/30.62 inference(monotonicity,[status(thm)],[6688])).
% 48.13/30.62 tff(6690,plain,
% 48.13/30.62 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB45)) | v102(constB45))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB45) | (~v106(constB45)))),
% 48.13/30.62 inference(transitivity,[status(thm)],[6689, 6687])).
% 48.13/30.62 tff(6691,plain,
% 48.13/30.62 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB45)) | v102(constB45))),
% 48.13/30.62 inference(quant_inst,[status(thm)],[])).
% 48.13/30.62 tff(6692,plain,
% 48.13/30.62 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB45) | (~v106(constB45))),
% 48.13/30.62 inference(modus_ponens,[status(thm)],[6691, 6690])).
% 48.13/30.62 tff(6693,plain,
% 48.13/30.62 (v102(constB45)),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6692, 504, 6686])).
% 48.13/30.62 tff(6694,plain,
% 48.13/30.62 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6695,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 48.13/30.62 tff(6696,plain,
% 48.13/30.62 (nextState(constB45, constB46)),
% 48.13/30.62 inference(modus_ponens,[status(thm)],[6695, 6694])).
% 48.13/30.62 tff(6697,plain,
% 48.13/30.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6698,plain,
% 48.13/30.62 (((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46)) <=> ((~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6699,plain,
% 48.13/30.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45))))),
% 48.13/30.62 inference(monotonicity,[status(thm)],[6698])).
% 48.13/30.62 tff(6700,plain,
% 48.13/30.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))),
% 48.13/30.62 inference(transitivity,[status(thm)],[6699, 6697])).
% 48.13/30.62 tff(6701,plain,
% 48.13/30.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46))),
% 48.13/30.62 inference(quant_inst,[status(thm)],[])).
% 48.13/30.62 tff(6702,plain,
% 48.13/30.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45))),
% 48.13/30.62 inference(modus_ponens,[status(thm)],[6701, 6700])).
% 48.13/30.62 tff(6703,plain,
% 48.13/30.62 (v104(constB46) | (~v102(constB45))),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6702, 489, 6696])).
% 48.13/30.62 tff(6704,plain,
% 48.13/30.62 (v104(constB46)),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6703, 6693])).
% 48.13/30.62 tff(6705,plain,
% 48.13/30.62 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46)))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6706,plain,
% 48.13/30.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46)))),
% 48.13/30.62 inference(quant_inst,[status(thm)],[])).
% 48.13/30.62 tff(6707,plain,
% 48.13/30.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46))),
% 48.13/30.62 inference(modus_ponens,[status(thm)],[6706, 6705])).
% 48.13/30.62 tff(6708,plain,
% 48.13/30.62 (~v98(constB46)),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6707, 423, 6696, 6580])).
% 48.13/30.62 tff(6709,plain,
% 48.13/30.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB45, constB46)) | v96(constB46) | v98(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB45, constB46)) | v96(constB46) | v98(constB46))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6710,plain,
% 48.13/30.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB45, constB46)) | v96(constB46) | v98(constB46))),
% 48.13/30.62 inference(quant_inst,[status(thm)],[])).
% 48.13/30.62 tff(6711,plain,
% 48.13/30.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB45, constB46)) | v96(constB46) | v98(constB46)),
% 48.13/30.62 inference(modus_ponens,[status(thm)],[6710, 6709])).
% 48.13/30.62 tff(6712,plain,
% 48.13/30.62 (v96(constB46) | v98(constB46)),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6711, 437, 6696])).
% 48.13/30.62 tff(6713,plain,
% 48.13/30.62 (v96(constB46)),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6712, 6708])).
% 48.13/30.62 tff(6714,plain,
% 48.13/30.62 (v1(constB46) <=> v1(constB46)),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6715,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 48.13/30.62 tff(6716,plain,
% 48.13/30.62 (v1(constB46)),
% 48.13/30.62 inference(modus_ponens,[status(thm)],[6715, 6714])).
% 48.13/30.62 tff(6717,plain,
% 48.13/30.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46)))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6718,plain,
% 48.13/30.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46)))),
% 48.13/30.62 inference(quant_inst,[status(thm)],[])).
% 48.13/30.62 tff(6719,plain,
% 48.13/30.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46))),
% 48.13/30.62 inference(modus_ponens,[status(thm)],[6718, 6717])).
% 48.13/30.62 tff(6720,plain,
% 48.13/30.62 (v95(constB46) | (~v96(constB46))),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6719, 455, 6696, 6716])).
% 48.13/30.62 tff(6721,plain,
% 48.13/30.62 (v95(constB46)),
% 48.13/30.62 inference(unit_resolution,[status(thm)],[6720, 6713])).
% 48.13/30.62 tff(6722,plain,
% 48.13/30.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6723,plain,
% 48.13/30.62 (((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46)) <=> ((~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))),
% 48.13/30.62 inference(rewrite,[status(thm)],[])).
% 48.13/30.62 tff(6724,plain,
% 48.13/30.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46))))),
% 48.13/30.62 inference(monotonicity,[status(thm)],[6723])).
% 48.13/30.62 tff(6725,plain,
% 48.13/30.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))),
% 48.13/30.63 inference(transitivity,[status(thm)],[6724, 6722])).
% 48.13/30.63 tff(6726,plain,
% 48.13/30.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46))),
% 48.13/30.63 inference(quant_inst,[status(thm)],[])).
% 48.13/30.63 tff(6727,plain,
% 48.13/30.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46))),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6726, 6725])).
% 48.13/30.63 tff(6728,plain,
% 48.13/30.63 (v94(constB46) | (~v95(constB46)) | (~v104(constB46))),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6727, 470, 6696])).
% 48.13/30.63 tff(6729,plain,
% 48.13/30.63 (v94(constB46) | (~v104(constB46))),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6728, 6721])).
% 48.13/30.63 tff(6730,plain,
% 48.13/30.63 (v94(constB46)),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6729, 6704])).
% 48.13/30.63 tff(6731,plain,
% 48.13/30.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB45)) | (~v84(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB45)) | (~v84(constB45, bitIndex2)))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6732,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB45)) | (~v84(constB45, bitIndex2)))),
% 48.13/30.63 inference(quant_inst,[status(thm)],[])).
% 48.13/30.63 tff(6733,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB45)) | (~v84(constB45, bitIndex2))),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6732, 6731])).
% 48.13/30.63 tff(6734,plain,
% 48.13/30.63 (~v115(constB45)),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6733, 1036, 6604])).
% 48.13/30.63 tff(6735,plain,
% 48.13/30.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB45)) | (~v84(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB45)) | (~v84(constB45, bitIndex2)))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6736,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB45)) | (~v84(constB45, bitIndex2)))),
% 48.13/30.63 inference(quant_inst,[status(thm)],[])).
% 48.13/30.63 tff(6737,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB45)) | (~v84(constB45, bitIndex2))),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6736, 6735])).
% 48.13/30.63 tff(6738,plain,
% 48.13/30.63 (~v116(constB45)),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6737, 1047, 6604])).
% 48.13/30.63 tff(6739,plain,
% 48.13/30.63 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB45)) | (~v84(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB45)) | (~v84(constB45, bitIndex1)))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6740,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB45)) | (~v84(constB45, bitIndex1)))),
% 48.13/30.63 inference(quant_inst,[status(thm)],[])).
% 48.13/30.63 tff(6741,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB45)) | (~v84(constB45, bitIndex1))),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6740, 6739])).
% 48.13/30.63 tff(6742,plain,
% 48.13/30.63 (~v113(constB45)),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6741, 1058, 6635])).
% 48.13/30.63 tff(6743,plain,
% 48.13/30.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB45)) | (~v84(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB45)) | (~v84(constB45, bitIndex1)))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6744,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB45)) | (~v84(constB45, bitIndex1)))),
% 48.13/30.63 inference(quant_inst,[status(thm)],[])).
% 48.13/30.63 tff(6745,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB45)) | (~v84(constB45, bitIndex1))),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6744, 6743])).
% 48.13/30.63 tff(6746,plain,
% 48.13/30.63 (~v118(constB45)),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6745, 1069, 6635])).
% 48.13/30.63 tff(6747,plain,
% 48.13/30.63 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB45)) | (~v84(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB45)) | (~v84(constB45, bitIndex1)))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6748,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB45)) | (~v84(constB45, bitIndex1)))),
% 48.13/30.63 inference(quant_inst,[status(thm)],[])).
% 48.13/30.63 tff(6749,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB45)) | (~v84(constB45, bitIndex1))),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6748, 6747])).
% 48.13/30.63 tff(6750,plain,
% 48.13/30.63 (~v172(constB45)),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6749, 1080, 6635])).
% 48.13/30.63 tff(6751,plain,
% 48.13/30.63 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB45)) | (~v84(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB45)) | (~v84(constB45, bitIndex1)))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6752,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB45)) | (~v84(constB45, bitIndex1)))),
% 48.13/30.63 inference(quant_inst,[status(thm)],[])).
% 48.13/30.63 tff(6753,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB45)) | (~v84(constB45, bitIndex1))),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6752, 6751])).
% 48.13/30.63 tff(6754,plain,
% 48.13/30.63 (~v145(constB45)),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6753, 1091, 6635])).
% 48.13/30.63 tff(6755,plain,
% 48.13/30.63 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex2)))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6756,plain,
% 48.13/30.63 ((v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex2))) <=> (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex2)))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6757,plain,
% 48.13/30.63 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex2))))),
% 48.13/30.63 inference(monotonicity,[status(thm)],[6756])).
% 48.13/30.63 tff(6758,plain,
% 48.13/30.63 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex2)))),
% 48.13/30.63 inference(transitivity,[status(thm)],[6757, 6755])).
% 48.13/30.63 tff(6759,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex2)))),
% 48.13/30.63 inference(quant_inst,[status(thm)],[])).
% 48.13/30.63 tff(6760,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex2))),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6759, 6758])).
% 48.13/30.63 tff(6761,plain,
% 48.13/30.63 (~v124(constB45, bitIndex2)),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6760, 1170, 6754, 6750, 6746, 6742, 6738, 6734])).
% 48.13/30.63 tff(6762,plain,
% 48.13/30.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB45, bitIndex2)) | v26(constB45) | v124(constB45, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB45, bitIndex2)) | v26(constB45) | v124(constB45, bitIndex2))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6763,plain,
% 48.13/30.63 ((v26(constB45) | v124(constB45, bitIndex2) | (~v121(constB45, bitIndex2))) <=> ((~v121(constB45, bitIndex2)) | v26(constB45) | v124(constB45, bitIndex2))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6764,plain,
% 48.13/30.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB45) | v124(constB45, bitIndex2) | (~v121(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB45, bitIndex2)) | v26(constB45) | v124(constB45, bitIndex2)))),
% 48.13/30.63 inference(monotonicity,[status(thm)],[6763])).
% 48.13/30.63 tff(6765,plain,
% 48.13/30.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB45) | v124(constB45, bitIndex2) | (~v121(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB45, bitIndex2)) | v26(constB45) | v124(constB45, bitIndex2))),
% 48.13/30.63 inference(transitivity,[status(thm)],[6764, 6762])).
% 48.13/30.63 tff(6766,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB45) | v124(constB45, bitIndex2) | (~v121(constB45, bitIndex2)))),
% 48.13/30.63 inference(quant_inst,[status(thm)],[])).
% 48.13/30.63 tff(6767,plain,
% 48.13/30.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB45, bitIndex2)) | v26(constB45) | v124(constB45, bitIndex2)),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6766, 6765])).
% 48.13/30.63 tff(6768,plain,
% 48.13/30.63 ((~v121(constB45, bitIndex2)) | v124(constB45, bitIndex2)),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6767, 1187, 6681])).
% 48.13/30.63 tff(6769,plain,
% 48.13/30.63 (~v121(constB45, bitIndex2)),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6768, 6761])).
% 48.13/30.63 tff(6770,plain,
% 48.13/30.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v121(constB45, bitIndex2) | (~v123(constB46, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v121(constB45, bitIndex2) | (~v123(constB46, bitIndex2)))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6771,plain,
% 48.13/30.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v121(constB45, bitIndex2) | (~v123(constB46, bitIndex2)))),
% 48.13/30.63 inference(quant_inst,[status(thm)],[])).
% 48.13/30.63 tff(6772,plain,
% 48.13/30.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v121(constB45, bitIndex2) | (~v123(constB46, bitIndex2))),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6771, 6770])).
% 48.13/30.63 tff(6773,plain,
% 48.13/30.63 (v121(constB45, bitIndex2) | (~v123(constB46, bitIndex2))),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6772, 1205, 6696])).
% 48.13/30.63 tff(6774,plain,
% 48.13/30.63 (~v123(constB46, bitIndex2)),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6773, 6769])).
% 48.13/30.63 tff(6775,plain,
% 48.13/30.63 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB46, bitIndex2)) | v123(constB46, bitIndex2) | (~v94(constB46)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB46, bitIndex2)) | v123(constB46, bitIndex2) | (~v94(constB46)))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6776,plain,
% 48.13/30.63 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB46, bitIndex2)) | v123(constB46, bitIndex2) | (~v94(constB46)))),
% 48.13/30.63 inference(quant_inst,[status(thm)],[])).
% 48.13/30.63 tff(6777,plain,
% 48.13/30.63 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB46, bitIndex2)) | v123(constB46, bitIndex2) | (~v94(constB46))),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6776, 6775])).
% 48.13/30.63 tff(6778,plain,
% 48.13/30.63 ((~v84(constB46, bitIndex2)) | (~v94(constB46))),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6777, 1220, 6774])).
% 48.13/30.63 tff(6779,plain,
% 48.13/30.63 (~v84(constB46, bitIndex2)),
% 48.13/30.63 inference(unit_resolution,[status(thm)],[6778, 6730])).
% 48.13/30.63 tff(6780,plain,
% 48.13/30.63 ((~v1(constB47)) <=> (~v1(constB47))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6781,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 48.13/30.63 tff(6782,plain,
% 48.13/30.63 (~v1(constB47)),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6781, 6780])).
% 48.13/30.63 tff(6783,plain,
% 48.13/30.63 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6784,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 48.13/30.63 tff(6785,plain,
% 48.13/30.63 (nextState(constB46, constB47)),
% 48.13/30.63 inference(modus_ponens,[status(thm)],[6784, 6783])).
% 48.13/30.63 tff(6786,plain,
% 48.13/30.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6787,plain,
% 48.13/30.63 (((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))),
% 48.13/30.63 inference(rewrite,[status(thm)],[])).
% 48.13/30.63 tff(6788,plain,
% 48.13/30.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47))))),
% 48.13/30.63 inference(monotonicity,[status(thm)],[6787])).
% 48.13/30.63 tff(6789,plain,
% 48.13/30.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))),
% 48.13/30.63 inference(transitivity,[status(thm)],[6788, 6786])).
% 48.13/30.63 tff(6790,plain,
% 48.13/30.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47))),
% 48.13/30.64 inference(quant_inst,[status(thm)],[])).
% 48.13/30.64 tff(6791,plain,
% 48.13/30.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47))),
% 48.13/30.64 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 48.13/30.64 tff(6792,plain,
% 48.13/30.64 (~v95(constB47)),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6791, 110, 6785, 6782])).
% 48.13/30.64 tff(6793,plain,
% 48.13/30.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47)))),
% 48.13/30.64 inference(rewrite,[status(thm)],[])).
% 48.13/30.64 tff(6794,plain,
% 48.13/30.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47)))),
% 48.13/30.64 inference(quant_inst,[status(thm)],[])).
% 48.13/30.64 tff(6795,plain,
% 48.13/30.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47))),
% 48.13/30.64 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 48.13/30.64 tff(6796,plain,
% 48.13/30.64 (v95(constB47) | (~v94(constB47))),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6795, 127, 6785])).
% 48.13/30.64 tff(6797,plain,
% 48.13/30.64 (~v94(constB47)),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6796, 6792])).
% 48.13/30.64 tff(6798,plain,
% 48.13/30.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex2)))),
% 48.13/30.64 inference(rewrite,[status(thm)],[])).
% 48.13/30.64 tff(6799,plain,
% 48.13/30.64 (((~nextState(constB46, constB47)) | v84(constB46, bitIndex2) | v94(constB47) | (~v84(constB47, bitIndex2))) <=> (v84(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex2)))),
% 48.13/30.64 inference(rewrite,[status(thm)],[])).
% 48.13/30.64 tff(6800,plain,
% 48.13/30.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex2) | v94(constB47) | (~v84(constB47, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex2))))),
% 48.13/30.64 inference(monotonicity,[status(thm)],[6799])).
% 48.13/30.64 tff(6801,plain,
% 48.13/30.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex2) | v94(constB47) | (~v84(constB47, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex2)))),
% 48.13/30.64 inference(transitivity,[status(thm)],[6800, 6798])).
% 48.13/30.64 tff(6802,plain,
% 48.13/30.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex2) | v94(constB47) | (~v84(constB47, bitIndex2)))),
% 48.13/30.64 inference(quant_inst,[status(thm)],[])).
% 48.13/30.64 tff(6803,plain,
% 48.13/30.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex2))),
% 48.13/30.64 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 48.13/30.64 tff(6804,plain,
% 48.13/30.64 (v84(constB46, bitIndex2) | v94(constB47) | (~v84(constB47, bitIndex2))),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6803, 142, 6785])).
% 48.13/30.64 tff(6805,plain,
% 48.13/30.64 (v84(constB46, bitIndex2) | (~v84(constB47, bitIndex2))),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6804, 6797])).
% 48.13/30.64 tff(6806,plain,
% 48.13/30.64 (~v84(constB47, bitIndex2)),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6805, 6779])).
% 48.13/30.64 tff(6807,plain,
% 48.13/30.64 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex1)))),
% 48.13/30.64 inference(rewrite,[status(thm)],[])).
% 48.13/30.64 tff(6808,plain,
% 48.13/30.64 ((v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex1))) <=> (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex1)))),
% 48.13/30.64 inference(rewrite,[status(thm)],[])).
% 48.13/30.64 tff(6809,plain,
% 48.13/30.64 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex1))))),
% 48.13/30.64 inference(monotonicity,[status(thm)],[6808])).
% 48.13/30.64 tff(6810,plain,
% 48.13/30.64 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex1)))),
% 48.13/30.64 inference(transitivity,[status(thm)],[6809, 6807])).
% 48.13/30.64 tff(6811,plain,
% 48.13/30.64 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex1)))),
% 48.13/30.64 inference(quant_inst,[status(thm)],[])).
% 48.13/30.64 tff(6812,plain,
% 48.13/30.64 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex1))),
% 48.13/30.64 inference(modus_ponens,[status(thm)],[6811, 6810])).
% 48.13/30.64 tff(6813,plain,
% 48.13/30.64 (~v124(constB45, bitIndex1)),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6812, 1105, 6754, 6750, 6746, 6742, 6738, 6734])).
% 48.13/30.64 tff(6814,plain,
% 48.13/30.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))),
% 48.13/30.64 inference(rewrite,[status(thm)],[])).
% 48.13/30.64 tff(6815,plain,
% 48.13/30.64 ((v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1))) <=> ((~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))),
% 48.13/30.64 inference(rewrite,[status(thm)],[])).
% 48.13/30.64 tff(6816,plain,
% 48.13/30.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1)))),
% 48.13/30.64 inference(monotonicity,[status(thm)],[6815])).
% 48.13/30.64 tff(6817,plain,
% 48.13/30.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))),
% 48.13/30.64 inference(transitivity,[status(thm)],[6816, 6814])).
% 48.13/30.64 tff(6818,plain,
% 48.13/30.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1)))),
% 48.13/30.64 inference(quant_inst,[status(thm)],[])).
% 48.13/30.64 tff(6819,plain,
% 48.13/30.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1)),
% 48.13/30.64 inference(modus_ponens,[status(thm)],[6818, 6817])).
% 48.13/30.64 tff(6820,plain,
% 48.13/30.64 ((~v121(constB45, bitIndex1)) | v124(constB45, bitIndex1)),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6819, 233, 6681])).
% 48.13/30.64 tff(6821,plain,
% 48.13/30.64 (~v121(constB45, bitIndex1)),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6820, 6813])).
% 48.13/30.64 tff(6822,plain,
% 48.13/30.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1)))),
% 48.13/30.64 inference(rewrite,[status(thm)],[])).
% 48.13/30.64 tff(6823,plain,
% 48.13/30.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1)))),
% 48.13/30.64 inference(quant_inst,[status(thm)],[])).
% 48.13/30.64 tff(6824,plain,
% 48.13/30.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1))),
% 48.13/30.64 inference(modus_ponens,[status(thm)],[6823, 6822])).
% 48.13/30.64 tff(6825,plain,
% 48.13/30.64 (v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1))),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6824, 254, 6696])).
% 48.13/30.64 tff(6826,plain,
% 48.13/30.64 (~v123(constB46, bitIndex1)),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6825, 6821])).
% 48.13/30.64 tff(6827,plain,
% 48.13/30.64 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))),
% 48.13/30.64 inference(rewrite,[status(thm)],[])).
% 48.13/30.64 tff(6828,plain,
% 48.13/30.64 (((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1)) <=> ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))),
% 48.13/30.64 inference(rewrite,[status(thm)],[])).
% 48.13/30.64 tff(6829,plain,
% 48.13/30.64 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46))))),
% 48.13/30.64 inference(monotonicity,[status(thm)],[6828])).
% 48.13/30.64 tff(6830,plain,
% 48.13/30.64 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))),
% 48.13/30.64 inference(transitivity,[status(thm)],[6829, 6827])).
% 48.13/30.64 tff(6831,plain,
% 48.13/30.64 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1))),
% 48.13/30.64 inference(quant_inst,[status(thm)],[])).
% 48.13/30.64 tff(6832,plain,
% 48.13/30.64 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46))),
% 48.13/30.64 inference(modus_ponens,[status(thm)],[6831, 6830])).
% 48.13/30.64 tff(6833,plain,
% 48.13/30.64 ((~v84(constB46, bitIndex1)) | (~v94(constB46))),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6832, 532, 6826])).
% 48.13/30.64 tff(6834,plain,
% 48.13/30.64 (~v84(constB46, bitIndex1)),
% 48.13/30.64 inference(unit_resolution,[status(thm)],[6833, 6730])).
% 48.13/30.64 tff(6835,plain,
% 48.13/30.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 48.13/30.64 inference(rewrite,[status(thm)],[])).
% 48.13/30.64 tff(6836,plain,
% 48.13/30.64 (((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1))) <=> (v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 48.13/30.64 inference(rewrite,[status(thm)],[])).
% 48.13/30.64 tff(6837,plain,
% 48.13/30.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1))))),
% 48.13/30.64 inference(monotonicity,[status(thm)],[6836])).
% 48.13/30.64 tff(6838,plain,
% 48.13/30.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 48.13/30.64 inference(transitivity,[status(thm)],[6837, 6835])).
% 48.13/30.64 tff(6839,plain,
% 48.13/30.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 48.13/30.65 inference(quant_inst,[status(thm)],[])).
% 48.13/30.65 tff(6840,plain,
% 48.13/30.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1))),
% 48.13/30.65 inference(modus_ponens,[status(thm)],[6839, 6838])).
% 48.13/30.65 tff(6841,plain,
% 48.13/30.65 (v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1))),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6840, 163, 6785])).
% 48.13/30.65 tff(6842,plain,
% 48.13/30.65 (v84(constB46, bitIndex1) | (~v84(constB47, bitIndex1))),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6841, 6797])).
% 48.13/30.65 tff(6843,plain,
% 48.13/30.65 (~v84(constB47, bitIndex1)),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6842, 6834])).
% 48.13/30.65 tff(6844,plain,
% 48.13/30.65 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | v124(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | v124(constB45, bitIndex0))),
% 48.13/30.65 inference(rewrite,[status(thm)],[])).
% 48.13/30.65 tff(6845,plain,
% 48.13/30.65 ((v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | v124(constB45, bitIndex0)) <=> (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | v124(constB45, bitIndex0))),
% 48.13/30.65 inference(rewrite,[status(thm)],[])).
% 48.13/30.65 tff(6846,plain,
% 48.13/30.65 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | v124(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | v124(constB45, bitIndex0)))),
% 48.13/30.65 inference(monotonicity,[status(thm)],[6845])).
% 48.13/30.65 tff(6847,plain,
% 48.13/30.65 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | v124(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | v124(constB45, bitIndex0))),
% 48.13/30.65 inference(transitivity,[status(thm)],[6846, 6844])).
% 48.13/30.65 tff(6848,plain,
% 48.13/30.65 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | v124(constB45, bitIndex0))),
% 48.13/30.65 inference(quant_inst,[status(thm)],[])).
% 48.13/30.65 tff(6849,plain,
% 48.13/30.65 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | v124(constB45, bitIndex0)),
% 48.13/30.65 inference(modus_ponens,[status(thm)],[6848, 6847])).
% 48.13/30.65 tff(6850,plain,
% 48.13/30.65 (v124(constB45, bitIndex0)),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6849, 1374, 6754, 6750, 6746, 6742, 6738, 6734])).
% 48.13/30.65 tff(6851,plain,
% 48.13/30.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0))),
% 48.13/30.65 inference(rewrite,[status(thm)],[])).
% 48.13/30.65 tff(6852,plain,
% 48.13/30.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0))),
% 48.13/30.65 inference(quant_inst,[status(thm)],[])).
% 48.13/30.65 tff(6853,plain,
% 48.13/30.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0)),
% 48.13/30.65 inference(modus_ponens,[status(thm)],[6852, 6851])).
% 48.13/30.65 tff(6854,plain,
% 48.13/30.65 ((~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0)),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6853, 1391, 6681])).
% 48.13/30.65 tff(6855,plain,
% 48.13/30.65 (v121(constB45, bitIndex0)),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6854, 6850])).
% 48.13/30.65 tff(6856,plain,
% 48.13/30.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0))),
% 48.13/30.65 inference(rewrite,[status(thm)],[])).
% 48.13/30.65 tff(6857,plain,
% 48.13/30.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0))),
% 48.13/30.65 inference(quant_inst,[status(thm)],[])).
% 48.13/30.65 tff(6858,plain,
% 48.13/30.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0)),
% 48.13/30.65 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 48.13/30.65 tff(6859,plain,
% 48.13/30.65 ((~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0)),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6858, 1406, 6696])).
% 48.13/30.65 tff(6860,plain,
% 48.13/30.65 (v123(constB46, bitIndex0)),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6859, 6855])).
% 48.13/30.65 tff(6861,plain,
% 48.13/30.65 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))),
% 48.13/30.65 inference(rewrite,[status(thm)],[])).
% 48.13/30.65 tff(6862,plain,
% 48.13/30.65 ((v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0))) <=> (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))),
% 48.13/30.65 inference(rewrite,[status(thm)],[])).
% 48.13/30.65 tff(6863,plain,
% 48.13/30.65 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46))))),
% 48.13/30.65 inference(monotonicity,[status(thm)],[6862])).
% 48.13/30.65 tff(6864,plain,
% 48.13/30.65 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))),
% 48.13/30.65 inference(transitivity,[status(thm)],[6863, 6861])).
% 48.13/30.65 tff(6865,plain,
% 48.13/30.65 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0)))),
% 48.13/30.65 inference(quant_inst,[status(thm)],[])).
% 48.13/30.65 tff(6866,plain,
% 48.13/30.65 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46))),
% 48.13/30.65 inference(modus_ponens,[status(thm)],[6865, 6864])).
% 48.13/30.65 tff(6867,plain,
% 48.13/30.65 (v84(constB46, bitIndex0) | (~v94(constB46))),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6866, 1421, 6860])).
% 48.13/30.65 tff(6868,plain,
% 48.13/30.65 (v84(constB46, bitIndex0)),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6867, 6730])).
% 48.13/30.65 tff(6869,plain,
% 48.13/30.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))),
% 48.13/30.65 inference(rewrite,[status(thm)],[])).
% 48.13/30.65 tff(6870,plain,
% 48.13/30.65 (((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0)) <=> ((~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))),
% 48.13/30.65 inference(rewrite,[status(thm)],[])).
% 48.13/30.65 tff(6871,plain,
% 48.13/30.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0)))),
% 48.13/30.65 inference(monotonicity,[status(thm)],[6870])).
% 48.13/30.65 tff(6872,plain,
% 48.13/30.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))),
% 48.13/30.65 inference(transitivity,[status(thm)],[6871, 6869])).
% 48.13/30.65 tff(6873,plain,
% 48.13/30.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0))),
% 48.13/30.65 inference(quant_inst,[status(thm)],[])).
% 48.13/30.65 tff(6874,plain,
% 48.13/30.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0)),
% 48.13/30.65 inference(modus_ponens,[status(thm)],[6873, 6872])).
% 48.13/30.65 tff(6875,plain,
% 48.13/30.65 ((~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0)),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6874, 1439, 6785])).
% 48.13/30.65 tff(6876,plain,
% 48.13/30.65 ((~v84(constB46, bitIndex0)) | v84(constB47, bitIndex0)),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6875, 6797])).
% 48.13/30.65 tff(6877,plain,
% 48.13/30.65 (v84(constB47, bitIndex0)),
% 48.13/30.65 inference(unit_resolution,[status(thm)],[6876, 6868])).
% 48.13/30.65 tff(6878,plain,
% 48.13/30.65 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | v84(constB47, bitIndex2) | v145(constB47))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | v84(constB47, bitIndex2) | v145(constB47))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6879,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | v84(constB47, bitIndex2) | v145(constB47))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6880,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | v84(constB47, bitIndex2) | v145(constB47)),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6879, 6878])).
% 48.13/30.66 tff(6881,plain,
% 48.13/30.66 (v145(constB47)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6880, 1268, 6877, 6843, 6806])).
% 48.13/30.66 tff(6882,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB47) | (~v145(constB47)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB47) | (~v145(constB47)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6883,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB47) | (~v145(constB47)))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6884,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB47) | (~v145(constB47))),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6883, 6882])).
% 48.13/30.66 tff(6885,plain,
% 48.13/30.66 (v112(constB47)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6884, 1253, 6881])).
% 48.13/30.66 tff(6886,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB47)) | v111(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB47)) | v111(constB47))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6887,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB47)) | v111(constB47))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6888,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB47)) | v111(constB47)),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6887, 6886])).
% 48.13/30.66 tff(6889,plain,
% 48.13/30.66 (v111(constB47)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6888, 278, 6885])).
% 48.13/30.66 tff(6890,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB47) | (~v111(constB47)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB47) | (~v111(constB47)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6891,plain,
% 48.13/30.66 (((~v111(constB47)) | v110(constB47)) <=> (v110(constB47) | (~v111(constB47)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6892,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB47)) | v110(constB47))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB47) | (~v111(constB47))))),
% 48.13/30.66 inference(monotonicity,[status(thm)],[6891])).
% 48.13/30.66 tff(6893,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB47)) | v110(constB47))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB47) | (~v111(constB47)))),
% 48.13/30.66 inference(transitivity,[status(thm)],[6892, 6890])).
% 48.13/30.66 tff(6894,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB47)) | v110(constB47))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6895,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB47) | (~v111(constB47))),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 48.13/30.66 tff(6896,plain,
% 48.13/30.66 (v110(constB47)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6895, 292, 6889])).
% 48.13/30.66 tff(6897,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB47) | (~v110(constB47)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB47) | (~v110(constB47)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6898,plain,
% 48.13/30.66 (((~v110(constB47)) | v109(constB47)) <=> (v109(constB47) | (~v110(constB47)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6899,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB47)) | v109(constB47))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB47) | (~v110(constB47))))),
% 48.13/30.66 inference(monotonicity,[status(thm)],[6898])).
% 48.13/30.66 tff(6900,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB47)) | v109(constB47))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB47) | (~v110(constB47)))),
% 48.13/30.66 inference(transitivity,[status(thm)],[6899, 6897])).
% 48.13/30.66 tff(6901,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB47)) | v109(constB47))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6902,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB47) | (~v110(constB47))),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6901, 6900])).
% 48.13/30.66 tff(6903,plain,
% 48.13/30.66 (v109(constB47)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6902, 306, 6896])).
% 48.13/30.66 tff(6904,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB47)) | v108(constB47))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6905,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB47)) | v108(constB47))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6906,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB47)) | v108(constB47)),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6905, 6904])).
% 48.13/30.66 tff(6907,plain,
% 48.13/30.66 (v108(constB47)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6906, 320, 6903])).
% 48.13/30.66 tff(6908,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB47) | (~v108(constB47)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB47) | (~v108(constB47)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6909,plain,
% 48.13/30.66 (((~v108(constB47)) | v107(constB47)) <=> (v107(constB47) | (~v108(constB47)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6910,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB47)) | v107(constB47))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB47) | (~v108(constB47))))),
% 48.13/30.66 inference(monotonicity,[status(thm)],[6909])).
% 48.13/30.66 tff(6911,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB47)) | v107(constB47))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB47) | (~v108(constB47)))),
% 48.13/30.66 inference(transitivity,[status(thm)],[6910, 6908])).
% 48.13/30.66 tff(6912,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB47)) | v107(constB47))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6913,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB47) | (~v108(constB47))),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6912, 6911])).
% 48.13/30.66 tff(6914,plain,
% 48.13/30.66 (v107(constB47)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6913, 334, 6907])).
% 48.13/30.66 tff(6915,assumption,(v26(constB47)), introduced(assumption)).
% 48.13/30.66 tff(6916,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6917,plain,
% 48.13/30.66 ($false),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6916, 55, 6915])).
% 48.13/30.66 tff(6918,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 48.13/30.66 tff(6919,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB47) | (~v107(constB47)) | v106(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB47) | (~v107(constB47)) | v106(constB47))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6920,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB47) | (~v107(constB47)) | v106(constB47))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6921,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB47) | (~v107(constB47)) | v106(constB47)),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6920, 6919])).
% 48.13/30.66 tff(6922,plain,
% 48.13/30.66 ((~v107(constB47)) | v106(constB47)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6921, 348, 6918])).
% 48.13/30.66 tff(6923,plain,
% 48.13/30.66 (v106(constB47)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6922, 6914])).
% 48.13/30.66 tff(6924,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB47) | (~v106(constB47)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB47) | (~v106(constB47)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6925,plain,
% 48.13/30.66 (((~v106(constB47)) | v102(constB47)) <=> (v102(constB47) | (~v106(constB47)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6926,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB47)) | v102(constB47))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB47) | (~v106(constB47))))),
% 48.13/30.66 inference(monotonicity,[status(thm)],[6925])).
% 48.13/30.66 tff(6927,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB47)) | v102(constB47))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB47) | (~v106(constB47)))),
% 48.13/30.66 inference(transitivity,[status(thm)],[6926, 6924])).
% 48.13/30.66 tff(6928,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB47)) | v102(constB47))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6929,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB47) | (~v106(constB47))),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6928, 6927])).
% 48.13/30.66 tff(6930,plain,
% 48.13/30.66 (v102(constB47)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6929, 504, 6923])).
% 48.13/30.66 tff(6931,plain,
% 48.13/30.66 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6932,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 48.13/30.66 tff(6933,plain,
% 48.13/30.66 (nextState(constB47, constB48)),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6932, 6931])).
% 48.13/30.66 tff(6934,plain,
% 48.13/30.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6935,plain,
% 48.13/30.66 (((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48)) <=> ((~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6936,plain,
% 48.13/30.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47))))),
% 48.13/30.66 inference(monotonicity,[status(thm)],[6935])).
% 48.13/30.66 tff(6937,plain,
% 48.13/30.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))),
% 48.13/30.66 inference(transitivity,[status(thm)],[6936, 6934])).
% 48.13/30.66 tff(6938,plain,
% 48.13/30.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6939,plain,
% 48.13/30.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47))),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6938, 6937])).
% 48.13/30.66 tff(6940,plain,
% 48.13/30.66 (v104(constB48) | (~v102(constB47))),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6939, 489, 6933])).
% 48.13/30.66 tff(6941,plain,
% 48.13/30.66 (v104(constB48)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6940, 6930])).
% 48.13/30.66 tff(6942,plain,
% 48.13/30.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6943,plain,
% 48.13/30.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48)))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6944,plain,
% 48.13/30.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48))),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6943, 6942])).
% 48.13/30.66 tff(6945,plain,
% 48.13/30.66 (~v98(constB48)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6944, 423, 6933, 6782])).
% 48.13/30.66 tff(6946,plain,
% 48.13/30.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB47, constB48)) | v96(constB48) | v98(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB47, constB48)) | v96(constB48) | v98(constB48))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6947,plain,
% 48.13/30.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB47, constB48)) | v96(constB48) | v98(constB48))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6948,plain,
% 48.13/30.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB47, constB48)) | v96(constB48) | v98(constB48)),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6947, 6946])).
% 48.13/30.66 tff(6949,plain,
% 48.13/30.66 (v96(constB48) | v98(constB48)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6948, 437, 6933])).
% 48.13/30.66 tff(6950,plain,
% 48.13/30.66 (v96(constB48)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6949, 6945])).
% 48.13/30.66 tff(6951,plain,
% 48.13/30.66 (v1(constB48) <=> v1(constB48)),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6952,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 48.13/30.66 tff(6953,plain,
% 48.13/30.66 (v1(constB48)),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6952, 6951])).
% 48.13/30.66 tff(6954,plain,
% 48.13/30.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6955,plain,
% 48.13/30.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48)))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6956,plain,
% 48.13/30.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48))),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6955, 6954])).
% 48.13/30.66 tff(6957,plain,
% 48.13/30.66 (v95(constB48) | (~v96(constB48))),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6956, 455, 6933, 6953])).
% 48.13/30.66 tff(6958,plain,
% 48.13/30.66 (v95(constB48)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6957, 6950])).
% 48.13/30.66 tff(6959,plain,
% 48.13/30.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6960,plain,
% 48.13/30.66 (((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48)) <=> ((~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6961,plain,
% 48.13/30.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48))))),
% 48.13/30.66 inference(monotonicity,[status(thm)],[6960])).
% 48.13/30.66 tff(6962,plain,
% 48.13/30.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))),
% 48.13/30.66 inference(transitivity,[status(thm)],[6961, 6959])).
% 48.13/30.66 tff(6963,plain,
% 48.13/30.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6964,plain,
% 48.13/30.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48))),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6963, 6962])).
% 48.13/30.66 tff(6965,plain,
% 48.13/30.66 (v94(constB48) | (~v95(constB48)) | (~v104(constB48))),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6964, 470, 6933])).
% 48.13/30.66 tff(6966,plain,
% 48.13/30.66 (v94(constB48) | (~v104(constB48))),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6965, 6958])).
% 48.13/30.66 tff(6967,plain,
% 48.13/30.66 (v94(constB48)),
% 48.13/30.66 inference(unit_resolution,[status(thm)],[6966, 6941])).
% 48.13/30.66 tff(6968,plain,
% 48.13/30.66 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB47)) | (~v124(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB47)) | (~v124(constB47, bitIndex0)))),
% 48.13/30.66 inference(rewrite,[status(thm)],[])).
% 48.13/30.66 tff(6969,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB47)) | (~v124(constB47, bitIndex0)))),
% 48.13/30.66 inference(quant_inst,[status(thm)],[])).
% 48.13/30.66 tff(6970,plain,
% 48.13/30.66 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB47)) | (~v124(constB47, bitIndex0))),
% 48.13/30.66 inference(modus_ponens,[status(thm)],[6969, 6968])).
% 48.13/30.66 tff(6971,plain,
% 48.13/30.67 (~v124(constB47, bitIndex0)),
% 48.13/30.67 inference(unit_resolution,[status(thm)],[6970, 1550, 6881])).
% 48.13/30.67 tff(6972,plain,
% 48.13/30.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))),
% 48.13/30.67 inference(rewrite,[status(thm)],[])).
% 48.13/30.67 tff(6973,plain,
% 48.13/30.67 ((v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0))) <=> ((~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))),
% 48.13/30.67 inference(rewrite,[status(thm)],[])).
% 48.13/30.67 tff(6974,plain,
% 48.13/30.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0)))),
% 48.13/30.67 inference(monotonicity,[status(thm)],[6973])).
% 48.13/30.67 tff(6975,plain,
% 48.13/30.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))),
% 48.13/30.67 inference(transitivity,[status(thm)],[6974, 6972])).
% 48.13/30.67 tff(6976,plain,
% 48.13/30.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0)))),
% 48.13/30.67 inference(quant_inst,[status(thm)],[])).
% 48.13/30.67 tff(6977,plain,
% 48.13/30.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0)),
% 48.13/30.67 inference(modus_ponens,[status(thm)],[6976, 6975])).
% 48.13/30.67 tff(6978,plain,
% 48.13/30.67 ((~v121(constB47, bitIndex0)) | v124(constB47, bitIndex0)),
% 48.13/30.67 inference(unit_resolution,[status(thm)],[6977, 607, 6918])).
% 48.13/30.67 tff(6979,plain,
% 48.13/30.67 (~v121(constB47, bitIndex0)),
% 48.13/30.67 inference(unit_resolution,[status(thm)],[6978, 6971])).
% 48.13/30.67 tff(6980,plain,
% 48.13/30.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0)))),
% 48.13/30.67 inference(rewrite,[status(thm)],[])).
% 48.13/30.67 tff(6981,plain,
% 48.13/30.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0)))),
% 48.13/30.67 inference(quant_inst,[status(thm)],[])).
% 48.13/30.67 tff(6982,plain,
% 48.13/30.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0))),
% 48.13/30.67 inference(modus_ponens,[status(thm)],[6981, 6980])).
% 48.13/30.67 tff(6983,plain,
% 48.13/30.67 (v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0))),
% 48.13/30.67 inference(unit_resolution,[status(thm)],[6982, 637, 6933])).
% 48.13/30.67 tff(6984,plain,
% 48.13/30.67 (~v123(constB48, bitIndex0)),
% 48.13/30.67 inference(unit_resolution,[status(thm)],[6983, 6979])).
% 48.13/30.67 tff(6985,plain,
% 48.13/30.67 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))),
% 48.13/30.67 inference(rewrite,[status(thm)],[])).
% 48.13/30.67 tff(6986,plain,
% 48.13/30.67 (((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0)) <=> ((~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))),
% 48.13/30.67 inference(rewrite,[status(thm)],[])).
% 48.13/30.67 tff(6987,plain,
% 48.13/30.67 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48))))),
% 48.13/30.67 inference(monotonicity,[status(thm)],[6986])).
% 48.13/30.67 tff(6988,plain,
% 48.13/30.67 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))),
% 48.13/30.67 inference(transitivity,[status(thm)],[6987, 6985])).
% 48.13/30.67 tff(6989,plain,
% 48.13/30.67 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0))),
% 48.13/30.67 inference(quant_inst,[status(thm)],[])).
% 48.13/30.67 tff(6990,plain,
% 48.13/30.67 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48))),
% 48.13/30.67 inference(modus_ponens,[status(thm)],[6989, 6988])).
% 48.13/30.67 tff(6991,plain,
% 48.13/30.67 ((~v84(constB48, bitIndex0)) | (~v94(constB48))),
% 48.13/30.67 inference(unit_resolution,[status(thm)],[6990, 652, 6984])).
% 48.13/30.67 tff(6992,plain,
% 48.13/30.67 (~v84(constB48, bitIndex0)),
% 48.13/30.67 inference(unit_resolution,[status(thm)],[6991, 6967])).
% 48.13/30.67 tff(6993,plain,
% 48.13/30.67 ((~v1(constB49)) <=> (~v1(constB49))),
% 48.13/30.67 inference(rewrite,[status(thm)],[])).
% 48.13/30.67 tff(6994,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 48.13/30.67 tff(6995,plain,
% 48.13/30.67 (~v1(constB49)),
% 48.13/30.67 inference(modus_ponens,[status(thm)],[6994, 6993])).
% 48.13/30.67 tff(6996,plain,
% 48.13/30.67 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 48.13/30.67 inference(rewrite,[status(thm)],[])).
% 48.13/30.67 tff(6997,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 48.13/30.67 tff(6998,plain,
% 48.13/30.67 (nextState(constB48, constB49)),
% 48.13/30.67 inference(modus_ponens,[status(thm)],[6997, 6996])).
% 48.13/30.67 tff(6999,plain,
% 48.13/30.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))),
% 48.13/30.67 inference(rewrite,[status(thm)],[])).
% 48.13/30.67 tff(7000,plain,
% 48.13/30.67 (((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))),
% 48.13/30.67 inference(rewrite,[status(thm)],[])).
% 48.13/30.67 tff(7001,plain,
% 48.13/30.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49))))),
% 48.13/30.67 inference(monotonicity,[status(thm)],[7000])).
% 48.13/30.67 tff(7002,plain,
% 48.13/30.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))),
% 48.22/30.67 inference(transitivity,[status(thm)],[7001, 6999])).
% 48.22/30.67 tff(7003,plain,
% 48.22/30.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49))),
% 48.22/30.67 inference(quant_inst,[status(thm)],[])).
% 48.22/30.67 tff(7004,plain,
% 48.22/30.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49))),
% 48.22/30.67 inference(modus_ponens,[status(thm)],[7003, 7002])).
% 48.22/30.67 tff(7005,plain,
% 48.22/30.67 (~v95(constB49)),
% 48.22/30.67 inference(unit_resolution,[status(thm)],[7004, 110, 6998, 6995])).
% 48.22/30.67 tff(7006,plain,
% 48.22/30.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49)))),
% 48.22/30.67 inference(rewrite,[status(thm)],[])).
% 48.22/30.67 tff(7007,plain,
% 48.22/30.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49)))),
% 48.22/30.67 inference(quant_inst,[status(thm)],[])).
% 48.22/30.67 tff(7008,plain,
% 48.22/30.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49))),
% 48.22/30.67 inference(modus_ponens,[status(thm)],[7007, 7006])).
% 48.22/30.67 tff(7009,plain,
% 48.22/30.67 (v95(constB49) | (~v94(constB49))),
% 48.22/30.67 inference(unit_resolution,[status(thm)],[7008, 127, 6998])).
% 48.22/30.67 tff(7010,plain,
% 48.22/30.67 (~v94(constB49)),
% 48.22/30.67 inference(unit_resolution,[status(thm)],[7009, 7005])).
% 48.22/30.67 tff(7011,plain,
% 48.22/30.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 48.22/30.67 inference(rewrite,[status(thm)],[])).
% 48.22/30.67 tff(7012,plain,
% 48.22/30.67 (((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0))) <=> (v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 48.22/30.67 inference(rewrite,[status(thm)],[])).
% 48.22/30.67 tff(7013,plain,
% 48.22/30.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0))))),
% 48.22/30.67 inference(monotonicity,[status(thm)],[7012])).
% 48.22/30.67 tff(7014,plain,
% 48.22/30.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 48.22/30.67 inference(transitivity,[status(thm)],[7013, 7011])).
% 48.22/30.67 tff(7015,plain,
% 48.22/30.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 48.22/30.68 inference(quant_inst,[status(thm)],[])).
% 48.22/30.68 tff(7016,plain,
% 48.22/30.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0))),
% 48.22/30.68 inference(modus_ponens,[status(thm)],[7015, 7014])).
% 48.22/30.68 tff(7017,plain,
% 48.22/30.68 (v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0))),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7016, 184, 6998])).
% 48.22/30.68 tff(7018,plain,
% 48.22/30.68 (v84(constB48, bitIndex0) | (~v84(constB49, bitIndex0))),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7017, 7010])).
% 48.22/30.68 tff(7019,plain,
% 48.22/30.68 (~v84(constB49, bitIndex0)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7018, 6992])).
% 48.22/30.68 tff(7020,plain,
% 48.22/30.68 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB47)) | (~v124(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB47)) | (~v124(constB47, bitIndex2)))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7021,plain,
% 48.22/30.68 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB47)) | (~v124(constB47, bitIndex2)))),
% 48.22/30.68 inference(quant_inst,[status(thm)],[])).
% 48.22/30.68 tff(7022,plain,
% 48.22/30.68 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB47)) | (~v124(constB47, bitIndex2))),
% 48.22/30.68 inference(modus_ponens,[status(thm)],[7021, 7020])).
% 48.22/30.68 tff(7023,plain,
% 48.22/30.68 (~v124(constB47, bitIndex2)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7022, 1456, 6881])).
% 48.22/30.68 tff(7024,plain,
% 48.22/30.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB47, bitIndex2)) | v26(constB47) | v124(constB47, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB47, bitIndex2)) | v26(constB47) | v124(constB47, bitIndex2))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7025,plain,
% 48.22/30.68 ((v26(constB47) | v124(constB47, bitIndex2) | (~v121(constB47, bitIndex2))) <=> ((~v121(constB47, bitIndex2)) | v26(constB47) | v124(constB47, bitIndex2))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7026,plain,
% 48.22/30.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB47) | v124(constB47, bitIndex2) | (~v121(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB47, bitIndex2)) | v26(constB47) | v124(constB47, bitIndex2)))),
% 48.22/30.68 inference(monotonicity,[status(thm)],[7025])).
% 48.22/30.68 tff(7027,plain,
% 48.22/30.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB47) | v124(constB47, bitIndex2) | (~v121(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB47, bitIndex2)) | v26(constB47) | v124(constB47, bitIndex2))),
% 48.22/30.68 inference(transitivity,[status(thm)],[7026, 7024])).
% 48.22/30.68 tff(7028,plain,
% 48.22/30.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB47) | v124(constB47, bitIndex2) | (~v121(constB47, bitIndex2)))),
% 48.22/30.68 inference(quant_inst,[status(thm)],[])).
% 48.22/30.68 tff(7029,plain,
% 48.22/30.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB47, bitIndex2)) | v26(constB47) | v124(constB47, bitIndex2)),
% 48.22/30.68 inference(modus_ponens,[status(thm)],[7028, 7027])).
% 48.22/30.68 tff(7030,plain,
% 48.22/30.68 ((~v121(constB47, bitIndex2)) | v124(constB47, bitIndex2)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7029, 1187, 6918])).
% 48.22/30.68 tff(7031,plain,
% 48.22/30.68 (~v121(constB47, bitIndex2)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7030, 7023])).
% 48.22/30.68 tff(7032,plain,
% 48.22/30.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v121(constB47, bitIndex2) | (~v123(constB48, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB47, constB48)) | v121(constB47, bitIndex2) | (~v123(constB48, bitIndex2)))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7033,plain,
% 48.22/30.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v121(constB47, bitIndex2) | (~v123(constB48, bitIndex2)))),
% 48.22/30.68 inference(quant_inst,[status(thm)],[])).
% 48.22/30.68 tff(7034,plain,
% 48.22/30.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB47, constB48)) | v121(constB47, bitIndex2) | (~v123(constB48, bitIndex2))),
% 48.22/30.68 inference(modus_ponens,[status(thm)],[7033, 7032])).
% 48.22/30.68 tff(7035,plain,
% 48.22/30.68 (v121(constB47, bitIndex2) | (~v123(constB48, bitIndex2))),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7034, 1205, 6933])).
% 48.22/30.68 tff(7036,plain,
% 48.22/30.68 (~v123(constB48, bitIndex2)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7035, 7031])).
% 48.22/30.68 tff(7037,plain,
% 48.22/30.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB48, bitIndex2)) | v123(constB48, bitIndex2) | (~v94(constB48)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB48, bitIndex2)) | v123(constB48, bitIndex2) | (~v94(constB48)))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7038,plain,
% 48.22/30.68 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB48, bitIndex2)) | v123(constB48, bitIndex2) | (~v94(constB48)))),
% 48.22/30.68 inference(quant_inst,[status(thm)],[])).
% 48.22/30.68 tff(7039,plain,
% 48.22/30.68 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB48, bitIndex2)) | v123(constB48, bitIndex2) | (~v94(constB48))),
% 48.22/30.68 inference(modus_ponens,[status(thm)],[7038, 7037])).
% 48.22/30.68 tff(7040,plain,
% 48.22/30.68 ((~v84(constB48, bitIndex2)) | (~v94(constB48))),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7039, 1220, 7036])).
% 48.22/30.68 tff(7041,plain,
% 48.22/30.68 (~v84(constB48, bitIndex2)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7040, 6967])).
% 48.22/30.68 tff(7042,plain,
% 48.22/30.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex2)))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7043,plain,
% 48.22/30.68 (((~nextState(constB48, constB49)) | v84(constB48, bitIndex2) | v94(constB49) | (~v84(constB49, bitIndex2))) <=> (v84(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex2)))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7044,plain,
% 48.22/30.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex2) | v94(constB49) | (~v84(constB49, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex2))))),
% 48.22/30.68 inference(monotonicity,[status(thm)],[7043])).
% 48.22/30.68 tff(7045,plain,
% 48.22/30.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex2) | v94(constB49) | (~v84(constB49, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex2)))),
% 48.22/30.68 inference(transitivity,[status(thm)],[7044, 7042])).
% 48.22/30.68 tff(7046,plain,
% 48.22/30.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex2) | v94(constB49) | (~v84(constB49, bitIndex2)))),
% 48.22/30.68 inference(quant_inst,[status(thm)],[])).
% 48.22/30.68 tff(7047,plain,
% 48.22/30.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex2))),
% 48.22/30.68 inference(modus_ponens,[status(thm)],[7046, 7045])).
% 48.22/30.68 tff(7048,plain,
% 48.22/30.68 (v84(constB48, bitIndex2) | v94(constB49) | (~v84(constB49, bitIndex2))),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7047, 142, 6998])).
% 48.22/30.68 tff(7049,plain,
% 48.22/30.68 (v84(constB48, bitIndex2) | (~v84(constB49, bitIndex2))),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7048, 7010])).
% 48.22/30.68 tff(7050,plain,
% 48.22/30.68 (~v84(constB49, bitIndex2)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7049, 7041])).
% 48.22/30.68 tff(7051,plain,
% 48.22/30.68 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB47)) | v124(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB47)) | v124(constB47, bitIndex1))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7052,plain,
% 48.22/30.68 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB47)) | v124(constB47, bitIndex1))),
% 48.22/30.68 inference(quant_inst,[status(thm)],[])).
% 48.22/30.68 tff(7053,plain,
% 48.22/30.68 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB47)) | v124(constB47, bitIndex1)),
% 48.22/30.68 inference(modus_ponens,[status(thm)],[7052, 7051])).
% 48.22/30.68 tff(7054,plain,
% 48.22/30.68 (v124(constB47, bitIndex1)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7053, 1512, 6881])).
% 48.22/30.68 tff(7055,plain,
% 48.22/30.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7056,plain,
% 48.22/30.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1))),
% 48.22/30.68 inference(quant_inst,[status(thm)],[])).
% 48.22/30.68 tff(7057,plain,
% 48.22/30.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1)),
% 48.22/30.68 inference(modus_ponens,[status(thm)],[7056, 7055])).
% 48.22/30.68 tff(7058,plain,
% 48.22/30.68 ((~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7057, 857, 6918])).
% 48.22/30.68 tff(7059,plain,
% 48.22/30.68 (v121(constB47, bitIndex1)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7058, 7054])).
% 48.22/30.68 tff(7060,plain,
% 48.22/30.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7061,plain,
% 48.22/30.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1))),
% 48.22/30.68 inference(quant_inst,[status(thm)],[])).
% 48.22/30.68 tff(7062,plain,
% 48.22/30.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1)),
% 48.22/30.68 inference(modus_ponens,[status(thm)],[7061, 7060])).
% 48.22/30.68 tff(7063,plain,
% 48.22/30.68 ((~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7062, 872, 6933])).
% 48.22/30.68 tff(7064,plain,
% 48.22/30.68 (v123(constB48, bitIndex1)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7063, 7059])).
% 48.22/30.68 tff(7065,plain,
% 48.22/30.68 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7066,plain,
% 48.22/30.68 ((v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1))) <=> (v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7067,plain,
% 48.22/30.68 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48))))),
% 48.22/30.68 inference(monotonicity,[status(thm)],[7066])).
% 48.22/30.68 tff(7068,plain,
% 48.22/30.68 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))),
% 48.22/30.68 inference(transitivity,[status(thm)],[7067, 7065])).
% 48.22/30.68 tff(7069,plain,
% 48.22/30.68 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1)))),
% 48.22/30.68 inference(quant_inst,[status(thm)],[])).
% 48.22/30.68 tff(7070,plain,
% 48.22/30.68 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48))),
% 48.22/30.68 inference(modus_ponens,[status(thm)],[7069, 7068])).
% 48.22/30.68 tff(7071,plain,
% 48.22/30.68 (v84(constB48, bitIndex1) | (~v94(constB48))),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7070, 887, 7064])).
% 48.22/30.68 tff(7072,plain,
% 48.22/30.68 (v84(constB48, bitIndex1)),
% 48.22/30.68 inference(unit_resolution,[status(thm)],[7071, 6967])).
% 48.22/30.68 tff(7073,plain,
% 48.22/30.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))),
% 48.22/30.68 inference(rewrite,[status(thm)],[])).
% 48.22/30.68 tff(7074,plain,
% 48.22/30.68 (((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1)) <=> ((~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))),
% 48.22/30.69 inference(rewrite,[status(thm)],[])).
% 48.22/30.69 tff(7075,plain,
% 48.22/30.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1)))),
% 48.22/30.69 inference(monotonicity,[status(thm)],[7074])).
% 48.22/30.69 tff(7076,plain,
% 48.22/30.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))),
% 48.22/30.69 inference(transitivity,[status(thm)],[7075, 7073])).
% 48.22/30.69 tff(7077,plain,
% 48.22/30.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1))),
% 48.22/30.69 inference(quant_inst,[status(thm)],[])).
% 48.22/30.69 tff(7078,plain,
% 48.22/30.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1)),
% 48.22/30.69 inference(modus_ponens,[status(thm)],[7077, 7076])).
% 48.22/30.69 tff(7079,plain,
% 48.22/30.69 ((~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1)),
% 48.22/30.69 inference(unit_resolution,[status(thm)],[7078, 905, 6998])).
% 48.22/30.69 tff(7080,plain,
% 48.22/30.69 ((~v84(constB48, bitIndex1)) | v84(constB49, bitIndex1)),
% 48.22/30.69 inference(unit_resolution,[status(thm)],[7079, 7010])).
% 48.22/30.69 tff(7081,plain,
% 48.22/30.69 (v84(constB49, bitIndex1)),
% 48.22/30.69 inference(unit_resolution,[status(thm)],[7080, 7072])).
% 48.22/30.69 tff(7082,plain,
% 48.22/30.69 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex2) | v115(constB49))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex2) | v115(constB49))),
% 48.22/30.69 inference(rewrite,[status(thm)],[])).
% 48.22/30.69 tff(7083,plain,
% 48.22/30.69 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex2) | v115(constB49))),
% 48.22/30.69 inference(quant_inst,[status(thm)],[])).
% 48.22/30.69 tff(7084,plain,
% 48.22/30.69 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex2) | v115(constB49)),
% 48.22/30.69 inference(modus_ponens,[status(thm)],[7083, 7082])).
% 48.22/30.69 tff(7085,plain,
% 48.22/30.69 (v115(constB49)),
% 48.22/30.69 inference(unit_resolution,[status(thm)],[7084, 1594, 7019, 7081, 7050])).
% 48.22/30.69 tff(7086,plain,
% 48.22/30.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB49)) | v124(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB49)) | v124(constB49, bitIndex0))),
% 48.22/30.69 inference(rewrite,[status(thm)],[])).
% 48.22/30.69 tff(7087,plain,
% 48.22/30.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB49)) | v124(constB49, bitIndex0))),
% 48.22/30.69 inference(quant_inst,[status(thm)],[])).
% 48.22/30.69 tff(7088,plain,
% 48.22/30.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB49)) | v124(constB49, bitIndex0)),
% 48.22/30.69 inference(modus_ponens,[status(thm)],[7087, 7086])).
% 48.22/30.69 tff(7089,plain,
% 48.22/30.69 (v124(constB49, bitIndex0)),
% 48.22/30.69 inference(unit_resolution,[status(thm)],[7088, 1784, 7085])).
% 48.22/30.69 tff(7090,plain,
% 48.22/30.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB49)) | v111(constB49))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB49)) | v111(constB49))),
% 48.22/30.69 inference(rewrite,[status(thm)],[])).
% 48.22/30.69 tff(7091,plain,
% 48.22/30.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB49)) | v111(constB49))),
% 48.22/30.69 inference(quant_inst,[status(thm)],[])).
% 48.22/30.69 tff(7092,plain,
% 48.22/30.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB49)) | v111(constB49)),
% 48.22/30.69 inference(modus_ponens,[status(thm)],[7091, 7090])).
% 48.22/30.69 tff(7093,plain,
% 48.22/30.69 (v111(constB49)),
% 48.22/30.69 inference(unit_resolution,[status(thm)],[7092, 1605, 7085])).
% 48.22/30.69 tff(7094,plain,
% 48.22/30.69 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB49) | (~v111(constB49)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB49) | (~v111(constB49)))),
% 48.22/30.69 inference(rewrite,[status(thm)],[])).
% 48.22/30.69 tff(7095,plain,
% 48.22/30.69 (((~v111(constB49)) | v110(constB49)) <=> (v110(constB49) | (~v111(constB49)))),
% 48.22/30.69 inference(rewrite,[status(thm)],[])).
% 48.22/30.69 tff(7096,plain,
% 48.22/30.69 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB49)) | v110(constB49))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB49) | (~v111(constB49))))),
% 48.22/30.69 inference(monotonicity,[status(thm)],[7095])).
% 48.22/30.69 tff(7097,plain,
% 48.22/30.69 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB49)) | v110(constB49))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB49) | (~v111(constB49)))),
% 48.22/30.69 inference(transitivity,[status(thm)],[7096, 7094])).
% 48.22/30.69 tff(7098,plain,
% 48.22/30.69 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB49)) | v110(constB49))),
% 48.22/30.69 inference(quant_inst,[status(thm)],[])).
% 48.22/30.69 tff(7099,plain,
% 48.22/30.69 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB49) | (~v111(constB49))),
% 48.22/30.69 inference(modus_ponens,[status(thm)],[7098, 7097])).
% 48.22/30.69 tff(7100,plain,
% 48.22/30.69 (v110(constB49)),
% 48.22/30.69 inference(unit_resolution,[status(thm)],[7099, 292, 7093])).
% 48.22/30.69 tff(7101,plain,
% 48.22/30.69 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB49) | (~v110(constB49)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB49) | (~v110(constB49)))),
% 48.22/30.69 inference(rewrite,[status(thm)],[])).
% 48.22/30.69 tff(7102,plain,
% 48.22/30.69 (((~v110(constB49)) | v109(constB49)) <=> (v109(constB49) | (~v110(constB49)))),
% 48.22/30.69 inference(rewrite,[status(thm)],[])).
% 48.22/30.69 tff(7103,plain,
% 48.22/30.69 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB49)) | v109(constB49))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB49) | (~v110(constB49))))),
% 48.22/30.69 inference(monotonicity,[status(thm)],[7102])).
% 48.22/30.69 tff(7104,plain,
% 48.22/30.69 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB49)) | v109(constB49))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB49) | (~v110(constB49)))),
% 48.22/30.69 inference(transitivity,[status(thm)],[7103, 7101])).
% 48.22/30.69 tff(7105,plain,
% 48.22/30.69 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB49)) | v109(constB49))),
% 48.22/30.69 inference(quant_inst,[status(thm)],[])).
% 48.22/30.69 tff(7106,plain,
% 48.22/30.69 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB49) | (~v110(constB49))),
% 48.22/30.69 inference(modus_ponens,[status(thm)],[7105, 7104])).
% 48.22/30.69 tff(7107,plain,
% 48.22/30.69 (v109(constB49)),
% 48.22/30.69 inference(unit_resolution,[status(thm)],[7106, 306, 7100])).
% 48.22/30.69 tff(7108,plain,
% 48.22/30.69 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB49)) | v108(constB49))),
% 48.24/30.69 inference(rewrite,[status(thm)],[])).
% 48.24/30.69 tff(7109,plain,
% 48.24/30.69 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB49)) | v108(constB49))),
% 48.24/30.69 inference(quant_inst,[status(thm)],[])).
% 48.24/30.69 tff(7110,plain,
% 48.24/30.69 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB49)) | v108(constB49)),
% 48.24/30.69 inference(modus_ponens,[status(thm)],[7109, 7108])).
% 48.24/30.69 tff(7111,plain,
% 48.24/30.69 (v108(constB49)),
% 48.24/30.69 inference(unit_resolution,[status(thm)],[7110, 320, 7107])).
% 48.24/30.69 tff(7112,plain,
% 48.24/30.69 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB49) | (~v108(constB49)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB49) | (~v108(constB49)))),
% 48.24/30.69 inference(rewrite,[status(thm)],[])).
% 48.24/30.69 tff(7113,plain,
% 48.24/30.69 (((~v108(constB49)) | v107(constB49)) <=> (v107(constB49) | (~v108(constB49)))),
% 48.24/30.69 inference(rewrite,[status(thm)],[])).
% 48.24/30.69 tff(7114,plain,
% 48.24/30.69 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB49)) | v107(constB49))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB49) | (~v108(constB49))))),
% 48.24/30.69 inference(monotonicity,[status(thm)],[7113])).
% 48.24/30.69 tff(7115,plain,
% 48.24/30.69 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB49)) | v107(constB49))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB49) | (~v108(constB49)))),
% 48.24/30.69 inference(transitivity,[status(thm)],[7114, 7112])).
% 48.24/30.69 tff(7116,plain,
% 48.24/30.69 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB49)) | v107(constB49))),
% 48.24/30.69 inference(quant_inst,[status(thm)],[])).
% 48.24/30.69 tff(7117,plain,
% 48.24/30.69 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB49) | (~v108(constB49))),
% 48.24/30.69 inference(modus_ponens,[status(thm)],[7116, 7115])).
% 48.24/30.69 tff(7118,plain,
% 48.24/30.69 (v107(constB49)),
% 48.24/30.69 inference(unit_resolution,[status(thm)],[7117, 334, 7111])).
% 48.24/30.69 tff(7119,assumption,(v26(constB49)), introduced(assumption)).
% 48.24/30.69 tff(7120,plain,
% 48.24/30.69 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 48.24/30.69 inference(quant_inst,[status(thm)],[])).
% 48.24/30.69 tff(7121,plain,
% 48.24/30.69 ($false),
% 48.24/30.69 inference(unit_resolution,[status(thm)],[7120, 55, 7119])).
% 48.24/30.69 tff(7122,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 48.24/30.69 tff(7123,assumption,(~v26(constB49)), introduced(assumption)).
% 48.24/30.69 tff(7124,assumption,(v107(constB49)), introduced(assumption)).
% 48.24/30.69 tff(7125,plain,
% 48.24/30.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB49) | (~v107(constB49)) | v106(constB49))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB49) | (~v107(constB49)) | v106(constB49))),
% 48.24/30.69 inference(rewrite,[status(thm)],[])).
% 48.24/30.69 tff(7126,plain,
% 48.24/30.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB49) | (~v107(constB49)) | v106(constB49))),
% 48.24/30.69 inference(quant_inst,[status(thm)],[])).
% 48.24/30.69 tff(7127,plain,
% 48.24/30.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB49) | (~v107(constB49)) | v106(constB49)),
% 48.24/30.69 inference(modus_ponens,[status(thm)],[7126, 7125])).
% 48.24/30.69 tff(7128,plain,
% 48.24/30.69 (v26(constB49) | v106(constB49)),
% 48.24/30.69 inference(unit_resolution,[status(thm)],[7127, 348, 7124])).
% 48.24/30.69 tff(7129,plain,
% 48.24/30.69 (v106(constB49)),
% 48.24/30.69 inference(unit_resolution,[status(thm)],[7128, 7123])).
% 48.24/30.69 tff(7130,assumption,(v124(constB49, bitIndex0)), introduced(assumption)).
% 48.24/30.69 tff(7131,plain,
% 48.24/30.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0))),
% 48.24/30.69 inference(rewrite,[status(thm)],[])).
% 48.24/30.69 tff(7132,plain,
% 48.24/30.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0))),
% 48.24/30.69 inference(quant_inst,[status(thm)],[])).
% 48.24/30.69 tff(7133,plain,
% 48.24/30.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0)),
% 48.24/30.69 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 48.24/30.69 tff(7134,plain,
% 48.24/30.69 (v26(constB49) | v121(constB49, bitIndex0)),
% 48.24/30.69 inference(unit_resolution,[status(thm)],[7133, 1391, 7130])).
% 48.24/30.69 tff(7135,plain,
% 48.24/30.69 (v121(constB49, bitIndex0)),
% 48.24/30.69 inference(unit_resolution,[status(thm)],[7134, 7123])).
% 48.24/30.69 tff(7136,plain,
% 48.24/30.69 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 48.24/30.69 inference(rewrite,[status(thm)],[])).
% 48.24/30.69 tff(7137,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 48.24/30.69 tff(7138,plain,
% 48.24/30.69 (nextState(constB49, constB50)),
% 48.24/30.69 inference(modus_ponens,[status(thm)],[7137, 7136])).
% 48.24/30.69 tff(7139,plain,
% 48.24/30.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0))),
% 48.24/30.69 inference(rewrite,[status(thm)],[])).
% 48.24/30.69 tff(7140,plain,
% 48.24/30.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0))),
% 48.24/30.69 inference(quant_inst,[status(thm)],[])).
% 48.24/30.69 tff(7141,plain,
% 48.24/30.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0)),
% 48.24/30.69 inference(modus_ponens,[status(thm)],[7140, 7139])).
% 48.24/30.69 tff(7142,plain,
% 48.24/30.69 ((~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0)),
% 48.24/30.69 inference(unit_resolution,[status(thm)],[7141, 1406, 7138])).
% 48.24/30.69 tff(7143,plain,
% 48.24/30.69 (v123(constB50, bitIndex0)),
% 48.24/30.69 inference(unit_resolution,[status(thm)],[7142, 7135])).
% 48.24/30.69 tff(7144,assumption,(~v84(constB50, bitIndex0)), introduced(assumption)).
% 48.24/30.69 tff(7145,plain,
% 48.24/30.69 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))),
% 48.24/30.69 inference(rewrite,[status(thm)],[])).
% 48.24/30.69 tff(7146,plain,
% 48.24/30.69 ((v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0))) <=> (v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))),
% 48.24/30.69 inference(rewrite,[status(thm)],[])).
% 48.24/30.69 tff(7147,plain,
% 48.24/30.69 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50))))),
% 48.24/30.69 inference(monotonicity,[status(thm)],[7146])).
% 48.24/30.69 tff(7148,plain,
% 48.24/30.69 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))),
% 48.24/30.69 inference(transitivity,[status(thm)],[7147, 7145])).
% 48.24/30.69 tff(7149,plain,
% 48.24/30.70 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0)))),
% 48.24/30.70 inference(quant_inst,[status(thm)],[])).
% 48.24/30.70 tff(7150,plain,
% 48.24/30.70 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50))),
% 48.24/30.70 inference(modus_ponens,[status(thm)],[7149, 7148])).
% 48.24/30.70 tff(7151,plain,
% 48.24/30.70 ((~v123(constB50, bitIndex0)) | (~v94(constB50))),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7150, 1421, 7144])).
% 48.24/30.70 tff(7152,plain,
% 48.24/30.70 (~v94(constB50)),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7151, 7143])).
% 48.24/30.70 tff(7153,plain,
% 48.24/30.70 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50)))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7154,plain,
% 48.24/30.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50)))),
% 48.24/30.70 inference(quant_inst,[status(thm)],[])).
% 48.24/30.70 tff(7155,plain,
% 48.24/30.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50))),
% 48.24/30.70 inference(modus_ponens,[status(thm)],[7154, 7153])).
% 48.24/30.70 tff(7156,plain,
% 48.24/30.70 (~v98(constB50)),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7155, 423, 7138, 6995])).
% 48.24/30.70 tff(7157,plain,
% 48.24/30.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB49, constB50)) | v96(constB50) | v98(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB49, constB50)) | v96(constB50) | v98(constB50))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7158,plain,
% 48.24/30.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB49, constB50)) | v96(constB50) | v98(constB50))),
% 48.24/30.70 inference(quant_inst,[status(thm)],[])).
% 48.24/30.70 tff(7159,plain,
% 48.24/30.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB49, constB50)) | v96(constB50) | v98(constB50)),
% 48.24/30.70 inference(modus_ponens,[status(thm)],[7158, 7157])).
% 48.24/30.70 tff(7160,plain,
% 48.24/30.70 (v96(constB50) | v98(constB50)),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7159, 437, 7138])).
% 48.24/30.70 tff(7161,plain,
% 48.24/30.70 (v96(constB50)),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7160, 7156])).
% 48.24/30.70 tff(7162,plain,
% 48.24/30.70 (v1(constB50) <=> v1(constB50)),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7163,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 48.24/30.70 tff(7164,plain,
% 48.24/30.70 (v1(constB50)),
% 48.24/30.70 inference(modus_ponens,[status(thm)],[7163, 7162])).
% 48.24/30.70 tff(7165,plain,
% 48.24/30.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50)))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7166,plain,
% 48.24/30.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50)))),
% 48.24/30.70 inference(quant_inst,[status(thm)],[])).
% 48.24/30.70 tff(7167,plain,
% 48.24/30.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50))),
% 48.24/30.70 inference(modus_ponens,[status(thm)],[7166, 7165])).
% 48.24/30.70 tff(7168,plain,
% 48.24/30.70 (v95(constB50) | (~v96(constB50))),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7167, 455, 7138, 7164])).
% 48.24/30.70 tff(7169,plain,
% 48.24/30.70 (v95(constB50)),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7168, 7161])).
% 48.24/30.70 tff(7170,plain,
% 48.24/30.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7171,plain,
% 48.24/30.70 (((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50)) <=> ((~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7172,plain,
% 48.24/30.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50))))),
% 48.24/30.70 inference(monotonicity,[status(thm)],[7171])).
% 48.24/30.70 tff(7173,plain,
% 48.24/30.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))),
% 48.24/30.70 inference(transitivity,[status(thm)],[7172, 7170])).
% 48.24/30.70 tff(7174,plain,
% 48.24/30.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50))),
% 48.24/30.70 inference(quant_inst,[status(thm)],[])).
% 48.24/30.70 tff(7175,plain,
% 48.24/30.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50))),
% 48.24/30.70 inference(modus_ponens,[status(thm)],[7174, 7173])).
% 48.24/30.70 tff(7176,plain,
% 48.24/30.70 (v94(constB50) | (~v95(constB50)) | (~v104(constB50))),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7175, 470, 7138])).
% 48.24/30.70 tff(7177,plain,
% 48.24/30.70 (v94(constB50) | (~v104(constB50))),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7176, 7169])).
% 48.24/30.70 tff(7178,plain,
% 48.24/30.70 (~v104(constB50)),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7177, 7152])).
% 48.24/30.70 tff(7179,plain,
% 48.24/30.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7180,plain,
% 48.24/30.70 (((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50)) <=> ((~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7181,plain,
% 48.24/30.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49))))),
% 48.24/30.70 inference(monotonicity,[status(thm)],[7180])).
% 48.24/30.70 tff(7182,plain,
% 48.24/30.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))),
% 48.24/30.70 inference(transitivity,[status(thm)],[7181, 7179])).
% 48.24/30.70 tff(7183,plain,
% 48.24/30.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50))),
% 48.24/30.70 inference(quant_inst,[status(thm)],[])).
% 48.24/30.70 tff(7184,plain,
% 48.24/30.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49))),
% 48.24/30.70 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 48.24/30.70 tff(7185,plain,
% 48.24/30.70 (v104(constB50) | (~v102(constB49))),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7184, 489, 7138])).
% 48.24/30.70 tff(7186,plain,
% 48.24/30.70 (~v102(constB49)),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7185, 7178])).
% 48.24/30.70 tff(7187,plain,
% 48.24/30.70 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB49) | (~v106(constB49)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB49) | (~v106(constB49)))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7188,plain,
% 48.24/30.70 (((~v106(constB49)) | v102(constB49)) <=> (v102(constB49) | (~v106(constB49)))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7189,plain,
% 48.24/30.70 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB49)) | v102(constB49))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB49) | (~v106(constB49))))),
% 48.24/30.70 inference(monotonicity,[status(thm)],[7188])).
% 48.24/30.70 tff(7190,plain,
% 48.24/30.70 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB49)) | v102(constB49))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB49) | (~v106(constB49)))),
% 48.24/30.70 inference(transitivity,[status(thm)],[7189, 7187])).
% 48.24/30.70 tff(7191,plain,
% 48.24/30.70 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB49)) | v102(constB49))),
% 48.24/30.70 inference(quant_inst,[status(thm)],[])).
% 48.24/30.70 tff(7192,plain,
% 48.24/30.70 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB49) | (~v106(constB49))),
% 48.24/30.70 inference(modus_ponens,[status(thm)],[7191, 7190])).
% 48.24/30.70 tff(7193,plain,
% 48.24/30.70 ($false),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7192, 504, 7186, 7129])).
% 48.24/30.70 tff(7194,plain,(v26(constB49) | v84(constB50, bitIndex0) | (~v107(constB49)) | (~v124(constB49, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 48.24/30.70 tff(7195,plain,
% 48.24/30.70 (v84(constB50, bitIndex0) | (~v107(constB49)) | (~v124(constB49, bitIndex0))),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7194, 7122])).
% 48.24/30.70 tff(7196,plain,
% 48.24/30.70 (v84(constB50, bitIndex0)),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7195, 7118, 7089])).
% 48.24/30.70 tff(7197,plain,
% 48.24/30.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v94(constB50) | (~v84(constB50, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v94(constB50) | (~v84(constB50, bitIndex0)))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7198,plain,
% 48.24/30.70 (((~nextState(constB49, constB50)) | v84(constB49, bitIndex0) | v94(constB50) | (~v84(constB50, bitIndex0))) <=> (v84(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v94(constB50) | (~v84(constB50, bitIndex0)))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7199,plain,
% 48.24/30.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v84(constB49, bitIndex0) | v94(constB50) | (~v84(constB50, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v94(constB50) | (~v84(constB50, bitIndex0))))),
% 48.24/30.70 inference(monotonicity,[status(thm)],[7198])).
% 48.24/30.70 tff(7200,plain,
% 48.24/30.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v84(constB49, bitIndex0) | v94(constB50) | (~v84(constB50, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v94(constB50) | (~v84(constB50, bitIndex0)))),
% 48.24/30.70 inference(transitivity,[status(thm)],[7199, 7197])).
% 48.24/30.70 tff(7201,plain,
% 48.24/30.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v84(constB49, bitIndex0) | v94(constB50) | (~v84(constB50, bitIndex0)))),
% 48.24/30.70 inference(quant_inst,[status(thm)],[])).
% 48.24/30.70 tff(7202,plain,
% 48.24/30.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v94(constB50) | (~v84(constB50, bitIndex0))),
% 48.24/30.70 inference(modus_ponens,[status(thm)],[7201, 7200])).
% 48.24/30.70 tff(7203,plain,
% 48.24/30.70 (v84(constB49, bitIndex0) | v94(constB50) | (~v84(constB50, bitIndex0))),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7202, 184, 7138])).
% 48.24/30.70 tff(7204,plain,
% 48.24/30.70 (v94(constB50)),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7203, 7196, 7019])).
% 48.24/30.70 tff(7205,plain,
% 48.24/30.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB49)) | (~v124(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB49)) | (~v124(constB49, bitIndex2)))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7206,plain,
% 48.24/30.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB49)) | (~v124(constB49, bitIndex2)))),
% 48.24/30.70 inference(quant_inst,[status(thm)],[])).
% 48.24/30.70 tff(7207,plain,
% 48.24/30.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB49)) | (~v124(constB49, bitIndex2))),
% 48.24/30.70 inference(modus_ponens,[status(thm)],[7206, 7205])).
% 48.24/30.70 tff(7208,plain,
% 48.24/30.70 (~v124(constB49, bitIndex2)),
% 48.24/30.70 inference(unit_resolution,[status(thm)],[7207, 1690, 7085])).
% 48.24/30.70 tff(7209,plain,
% 48.24/30.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7210,plain,
% 48.24/30.70 ((v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2))) <=> ((~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))),
% 48.24/30.70 inference(rewrite,[status(thm)],[])).
% 48.24/30.70 tff(7211,plain,
% 48.24/30.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2)))),
% 48.24/30.71 inference(monotonicity,[status(thm)],[7210])).
% 48.24/30.71 tff(7212,plain,
% 48.24/30.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))),
% 48.24/30.71 inference(transitivity,[status(thm)],[7211, 7209])).
% 48.24/30.71 tff(7213,plain,
% 48.24/30.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2)))),
% 48.24/30.71 inference(quant_inst,[status(thm)],[])).
% 48.24/30.71 tff(7214,plain,
% 48.24/30.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2)),
% 48.24/30.71 inference(modus_ponens,[status(thm)],[7213, 7212])).
% 48.24/30.71 tff(7215,plain,
% 48.24/30.71 ((~v121(constB49, bitIndex2)) | v124(constB49, bitIndex2)),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7214, 1187, 7122])).
% 48.24/30.71 tff(7216,plain,
% 48.24/30.71 (~v121(constB49, bitIndex2)),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7215, 7208])).
% 48.24/30.71 tff(7217,plain,
% 48.24/30.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2)))),
% 48.24/30.71 inference(rewrite,[status(thm)],[])).
% 48.24/30.71 tff(7218,plain,
% 48.24/30.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2)))),
% 48.24/30.71 inference(quant_inst,[status(thm)],[])).
% 48.24/30.71 tff(7219,plain,
% 48.24/30.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2))),
% 48.24/30.71 inference(modus_ponens,[status(thm)],[7218, 7217])).
% 48.24/30.71 tff(7220,plain,
% 48.24/30.71 (v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2))),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7219, 1205, 7138])).
% 48.24/30.71 tff(7221,plain,
% 48.24/30.71 (~v123(constB50, bitIndex2)),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7220, 7216])).
% 48.24/30.71 tff(7222,plain,
% 48.24/30.71 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))),
% 48.24/30.71 inference(rewrite,[status(thm)],[])).
% 48.24/30.71 tff(7223,plain,
% 48.24/30.71 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))),
% 48.24/30.71 inference(quant_inst,[status(thm)],[])).
% 48.24/30.71 tff(7224,plain,
% 48.24/30.71 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50))),
% 48.24/30.71 inference(modus_ponens,[status(thm)],[7223, 7222])).
% 48.24/30.71 tff(7225,plain,
% 48.24/30.71 ((~v84(constB50, bitIndex2)) | (~v94(constB50))),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7224, 1220, 7221])).
% 48.24/30.71 tff(7226,plain,
% 48.24/30.71 (~v84(constB50, bitIndex2)),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7225, 7204])).
% 48.24/30.71 tff(7227,plain,
% 48.24/30.71 ((~v1(constB51)) <=> (~v1(constB51))),
% 48.24/30.71 inference(rewrite,[status(thm)],[])).
% 48.24/30.71 tff(7228,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 48.24/30.71 tff(7229,plain,
% 48.24/30.71 (~v1(constB51)),
% 48.24/30.71 inference(modus_ponens,[status(thm)],[7228, 7227])).
% 48.24/30.71 tff(7230,plain,
% 48.24/30.71 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 48.24/30.71 inference(rewrite,[status(thm)],[])).
% 48.24/30.71 tff(7231,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 48.24/30.71 tff(7232,plain,
% 48.24/30.71 (nextState(constB50, constB51)),
% 48.24/30.71 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 48.24/30.71 tff(7233,plain,
% 48.24/30.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))),
% 48.24/30.71 inference(rewrite,[status(thm)],[])).
% 48.24/30.71 tff(7234,plain,
% 48.24/30.71 (((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))),
% 48.24/30.71 inference(rewrite,[status(thm)],[])).
% 48.24/30.71 tff(7235,plain,
% 48.24/30.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51))))),
% 48.24/30.71 inference(monotonicity,[status(thm)],[7234])).
% 48.24/30.71 tff(7236,plain,
% 48.24/30.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))),
% 48.24/30.71 inference(transitivity,[status(thm)],[7235, 7233])).
% 48.24/30.71 tff(7237,plain,
% 48.24/30.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51))),
% 48.24/30.71 inference(quant_inst,[status(thm)],[])).
% 48.24/30.71 tff(7238,plain,
% 48.24/30.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51))),
% 48.24/30.71 inference(modus_ponens,[status(thm)],[7237, 7236])).
% 48.24/30.71 tff(7239,plain,
% 48.24/30.71 (~v95(constB51)),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7238, 110, 7232, 7229])).
% 48.24/30.71 tff(7240,plain,
% 48.24/30.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51)))),
% 48.24/30.71 inference(rewrite,[status(thm)],[])).
% 48.24/30.71 tff(7241,plain,
% 48.24/30.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51)))),
% 48.24/30.71 inference(quant_inst,[status(thm)],[])).
% 48.24/30.71 tff(7242,plain,
% 48.24/30.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51))),
% 48.24/30.71 inference(modus_ponens,[status(thm)],[7241, 7240])).
% 48.24/30.71 tff(7243,plain,
% 48.24/30.71 (v95(constB51) | (~v94(constB51))),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7242, 127, 7232])).
% 48.24/30.71 tff(7244,plain,
% 48.24/30.71 (~v94(constB51)),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7243, 7239])).
% 48.24/30.71 tff(7245,plain,
% 48.24/30.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 48.24/30.71 inference(rewrite,[status(thm)],[])).
% 48.24/30.71 tff(7246,plain,
% 48.24/30.71 (((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2))) <=> (v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 48.24/30.71 inference(rewrite,[status(thm)],[])).
% 48.24/30.71 tff(7247,plain,
% 48.24/30.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2))))),
% 48.24/30.71 inference(monotonicity,[status(thm)],[7246])).
% 48.24/30.71 tff(7248,plain,
% 48.24/30.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 48.24/30.71 inference(transitivity,[status(thm)],[7247, 7245])).
% 48.24/30.71 tff(7249,plain,
% 48.24/30.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 48.24/30.71 inference(quant_inst,[status(thm)],[])).
% 48.24/30.71 tff(7250,plain,
% 48.24/30.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2))),
% 48.24/30.71 inference(modus_ponens,[status(thm)],[7249, 7248])).
% 48.24/30.71 tff(7251,plain,
% 48.24/30.71 (v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2))),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7250, 142, 7232])).
% 48.24/30.71 tff(7252,plain,
% 48.24/30.71 (v84(constB50, bitIndex2) | (~v84(constB51, bitIndex2))),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7251, 7244])).
% 48.24/30.71 tff(7253,plain,
% 48.24/30.71 (~v84(constB51, bitIndex2)),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7252, 7226])).
% 48.24/30.71 tff(7254,plain,
% 48.24/30.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB49)) | v124(constB49, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB49)) | v124(constB49, bitIndex1))),
% 48.24/30.71 inference(rewrite,[status(thm)],[])).
% 48.24/30.71 tff(7255,plain,
% 48.24/30.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB49)) | v124(constB49, bitIndex1))),
% 48.24/30.71 inference(quant_inst,[status(thm)],[])).
% 48.24/30.71 tff(7256,plain,
% 48.24/30.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB49)) | v124(constB49, bitIndex1)),
% 48.24/30.71 inference(modus_ponens,[status(thm)],[7255, 7254])).
% 48.24/30.71 tff(7257,plain,
% 48.24/30.71 (v124(constB49, bitIndex1)),
% 48.24/30.71 inference(unit_resolution,[status(thm)],[7256, 1746, 7085])).
% 48.24/30.71 tff(7258,plain,
% 48.24/30.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB49) | (~v124(constB49, bitIndex1)) | v121(constB49, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB49) | (~v124(constB49, bitIndex1)) | v121(constB49, bitIndex1))),
% 48.27/30.71 inference(rewrite,[status(thm)],[])).
% 48.27/30.71 tff(7259,plain,
% 48.27/30.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB49) | (~v124(constB49, bitIndex1)) | v121(constB49, bitIndex1))),
% 48.27/30.71 inference(quant_inst,[status(thm)],[])).
% 48.27/30.71 tff(7260,plain,
% 48.27/30.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB49) | (~v124(constB49, bitIndex1)) | v121(constB49, bitIndex1)),
% 48.27/30.71 inference(modus_ponens,[status(thm)],[7259, 7258])).
% 48.27/30.71 tff(7261,plain,
% 48.27/30.71 ((~v124(constB49, bitIndex1)) | v121(constB49, bitIndex1)),
% 48.27/30.71 inference(unit_resolution,[status(thm)],[7260, 857, 7122])).
% 48.27/30.71 tff(7262,plain,
% 48.27/30.71 (v121(constB49, bitIndex1)),
% 48.27/30.71 inference(unit_resolution,[status(thm)],[7261, 7257])).
% 48.27/30.71 tff(7263,plain,
% 48.27/30.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB49, constB50)) | (~v121(constB49, bitIndex1)) | v123(constB50, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB49, constB50)) | (~v121(constB49, bitIndex1)) | v123(constB50, bitIndex1))),
% 48.27/30.71 inference(rewrite,[status(thm)],[])).
% 48.27/30.71 tff(7264,plain,
% 48.27/30.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB49, constB50)) | (~v121(constB49, bitIndex1)) | v123(constB50, bitIndex1))),
% 48.27/30.71 inference(quant_inst,[status(thm)],[])).
% 48.27/30.71 tff(7265,plain,
% 48.27/30.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB49, constB50)) | (~v121(constB49, bitIndex1)) | v123(constB50, bitIndex1)),
% 48.27/30.71 inference(modus_ponens,[status(thm)],[7264, 7263])).
% 48.27/30.71 tff(7266,plain,
% 48.27/30.71 ((~v121(constB49, bitIndex1)) | v123(constB50, bitIndex1)),
% 48.27/30.71 inference(unit_resolution,[status(thm)],[7265, 872, 7138])).
% 48.27/30.71 tff(7267,plain,
% 48.27/30.71 (v123(constB50, bitIndex1)),
% 48.27/30.71 inference(unit_resolution,[status(thm)],[7266, 7262])).
% 48.27/30.71 tff(7268,plain,
% 48.27/30.71 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~v123(constB50, bitIndex1)) | (~v94(constB50)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB50, bitIndex1) | (~v123(constB50, bitIndex1)) | (~v94(constB50)))),
% 48.27/30.71 inference(rewrite,[status(thm)],[])).
% 48.27/30.71 tff(7269,plain,
% 48.27/30.71 ((v84(constB50, bitIndex1) | (~v94(constB50)) | (~v123(constB50, bitIndex1))) <=> (v84(constB50, bitIndex1) | (~v123(constB50, bitIndex1)) | (~v94(constB50)))),
% 48.27/30.71 inference(rewrite,[status(thm)],[])).
% 48.27/30.71 tff(7270,plain,
% 48.27/30.71 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~v94(constB50)) | (~v123(constB50, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~v123(constB50, bitIndex1)) | (~v94(constB50))))),
% 48.27/30.71 inference(monotonicity,[status(thm)],[7269])).
% 48.27/30.71 tff(7271,plain,
% 48.27/30.71 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~v94(constB50)) | (~v123(constB50, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB50, bitIndex1) | (~v123(constB50, bitIndex1)) | (~v94(constB50)))),
% 48.27/30.71 inference(transitivity,[status(thm)],[7270, 7268])).
% 48.27/30.71 tff(7272,plain,
% 48.27/30.71 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~v94(constB50)) | (~v123(constB50, bitIndex1)))),
% 48.27/30.71 inference(quant_inst,[status(thm)],[])).
% 48.27/30.72 tff(7273,plain,
% 48.27/30.72 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB50, bitIndex1) | (~v123(constB50, bitIndex1)) | (~v94(constB50))),
% 48.27/30.72 inference(modus_ponens,[status(thm)],[7272, 7271])).
% 48.27/30.72 tff(7274,plain,
% 48.27/30.72 (v84(constB50, bitIndex1) | (~v94(constB50))),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7273, 887, 7267])).
% 48.27/30.72 tff(7275,plain,
% 48.27/30.72 (v84(constB50, bitIndex1)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7274, 7204])).
% 48.27/30.72 tff(7276,plain,
% 48.27/30.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex1))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7277,plain,
% 48.27/30.72 (((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex1)) | v94(constB51) | v84(constB51, bitIndex1)) <=> ((~v84(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex1))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7278,plain,
% 48.27/30.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex1)) | v94(constB51) | v84(constB51, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex1)))),
% 48.27/30.72 inference(monotonicity,[status(thm)],[7277])).
% 48.27/30.72 tff(7279,plain,
% 48.27/30.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex1)) | v94(constB51) | v84(constB51, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex1))),
% 48.27/30.72 inference(transitivity,[status(thm)],[7278, 7276])).
% 48.27/30.72 tff(7280,plain,
% 48.27/30.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex1)) | v94(constB51) | v84(constB51, bitIndex1))),
% 48.27/30.72 inference(quant_inst,[status(thm)],[])).
% 48.27/30.72 tff(7281,plain,
% 48.27/30.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex1)),
% 48.27/30.72 inference(modus_ponens,[status(thm)],[7280, 7279])).
% 48.27/30.72 tff(7282,plain,
% 48.27/30.72 ((~v84(constB50, bitIndex1)) | v94(constB51) | v84(constB51, bitIndex1)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7281, 905, 7232])).
% 48.27/30.72 tff(7283,plain,
% 48.27/30.72 ((~v84(constB50, bitIndex1)) | v84(constB51, bitIndex1)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7282, 7244])).
% 48.27/30.72 tff(7284,plain,
% 48.27/30.72 (v84(constB51, bitIndex1)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7283, 7275])).
% 48.27/30.72 tff(7285,plain,
% 48.27/30.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7286,plain,
% 48.27/30.72 (((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0)) <=> ((~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7287,plain,
% 48.27/30.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0)))),
% 48.27/30.72 inference(monotonicity,[status(thm)],[7286])).
% 48.27/30.72 tff(7288,plain,
% 48.27/30.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))),
% 48.27/30.72 inference(transitivity,[status(thm)],[7287, 7285])).
% 48.27/30.72 tff(7289,plain,
% 48.27/30.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0))),
% 48.27/30.72 inference(quant_inst,[status(thm)],[])).
% 48.27/30.72 tff(7290,plain,
% 48.27/30.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0)),
% 48.27/30.72 inference(modus_ponens,[status(thm)],[7289, 7288])).
% 48.27/30.72 tff(7291,plain,
% 48.27/30.72 ((~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7290, 1439, 7232])).
% 48.27/30.72 tff(7292,plain,
% 48.27/30.72 ((~v84(constB50, bitIndex0)) | v84(constB51, bitIndex0)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7291, 7244])).
% 48.27/30.72 tff(7293,plain,
% 48.27/30.72 (v84(constB51, bitIndex0)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7292, 7196])).
% 48.27/30.72 tff(7294,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB51, bitIndex0)) | (~v84(constB51, bitIndex1)) | v84(constB51, bitIndex2) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB51, bitIndex0)) | (~v84(constB51, bitIndex1)) | v84(constB51, bitIndex2) | v116(constB51))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7295,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB51, bitIndex0)) | (~v84(constB51, bitIndex1)) | v84(constB51, bitIndex2) | v116(constB51))),
% 48.27/30.72 inference(quant_inst,[status(thm)],[])).
% 48.27/30.72 tff(7296,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB51, bitIndex0)) | (~v84(constB51, bitIndex1)) | v84(constB51, bitIndex2) | v116(constB51)),
% 48.27/30.72 inference(modus_ponens,[status(thm)],[7295, 7294])).
% 48.27/30.72 tff(7297,plain,
% 48.27/30.72 (v116(constB51)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7296, 1825, 7293, 7284, 7253])).
% 48.27/30.72 tff(7298,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB51)) | v110(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB51)) | v110(constB51))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7299,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB51)) | v110(constB51))),
% 48.27/30.72 inference(quant_inst,[status(thm)],[])).
% 48.27/30.72 tff(7300,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB51)) | v110(constB51)),
% 48.27/30.72 inference(modus_ponens,[status(thm)],[7299, 7298])).
% 48.27/30.72 tff(7301,plain,
% 48.27/30.72 (v110(constB51)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7300, 1836, 7297])).
% 48.27/30.72 tff(7302,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB51) | (~v110(constB51)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB51) | (~v110(constB51)))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7303,plain,
% 48.27/30.72 (((~v110(constB51)) | v109(constB51)) <=> (v109(constB51) | (~v110(constB51)))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7304,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB51)) | v109(constB51))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB51) | (~v110(constB51))))),
% 48.27/30.72 inference(monotonicity,[status(thm)],[7303])).
% 48.27/30.72 tff(7305,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB51)) | v109(constB51))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB51) | (~v110(constB51)))),
% 48.27/30.72 inference(transitivity,[status(thm)],[7304, 7302])).
% 48.27/30.72 tff(7306,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB51)) | v109(constB51))),
% 48.27/30.72 inference(quant_inst,[status(thm)],[])).
% 48.27/30.72 tff(7307,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB51) | (~v110(constB51))),
% 48.27/30.72 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 48.27/30.72 tff(7308,plain,
% 48.27/30.72 (v109(constB51)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7307, 306, 7301])).
% 48.27/30.72 tff(7309,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB51)) | v108(constB51))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7310,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB51)) | v108(constB51))),
% 48.27/30.72 inference(quant_inst,[status(thm)],[])).
% 48.27/30.72 tff(7311,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB51)) | v108(constB51)),
% 48.27/30.72 inference(modus_ponens,[status(thm)],[7310, 7309])).
% 48.27/30.72 tff(7312,plain,
% 48.27/30.72 (v108(constB51)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7311, 320, 7308])).
% 48.27/30.72 tff(7313,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB51) | (~v108(constB51)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB51) | (~v108(constB51)))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7314,plain,
% 48.27/30.72 (((~v108(constB51)) | v107(constB51)) <=> (v107(constB51) | (~v108(constB51)))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7315,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB51)) | v107(constB51))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB51) | (~v108(constB51))))),
% 48.27/30.72 inference(monotonicity,[status(thm)],[7314])).
% 48.27/30.72 tff(7316,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB51)) | v107(constB51))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB51) | (~v108(constB51)))),
% 48.27/30.72 inference(transitivity,[status(thm)],[7315, 7313])).
% 48.27/30.72 tff(7317,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB51)) | v107(constB51))),
% 48.27/30.72 inference(quant_inst,[status(thm)],[])).
% 48.27/30.72 tff(7318,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB51) | (~v108(constB51))),
% 48.27/30.72 inference(modus_ponens,[status(thm)],[7317, 7316])).
% 48.27/30.72 tff(7319,plain,
% 48.27/30.72 (v107(constB51)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7318, 334, 7312])).
% 48.27/30.72 tff(7320,assumption,(v26(constB51)), introduced(assumption)).
% 48.27/30.72 tff(7321,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 48.27/30.72 inference(quant_inst,[status(thm)],[])).
% 48.27/30.72 tff(7322,plain,
% 48.27/30.72 ($false),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7321, 55, 7320])).
% 48.27/30.72 tff(7323,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 48.27/30.72 tff(7324,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB51) | (~v107(constB51)) | v106(constB51))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB51) | (~v107(constB51)) | v106(constB51))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7325,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB51) | (~v107(constB51)) | v106(constB51))),
% 48.27/30.72 inference(quant_inst,[status(thm)],[])).
% 48.27/30.72 tff(7326,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB51) | (~v107(constB51)) | v106(constB51)),
% 48.27/30.72 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 48.27/30.72 tff(7327,plain,
% 48.27/30.72 ((~v107(constB51)) | v106(constB51)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7326, 348, 7323])).
% 48.27/30.72 tff(7328,plain,
% 48.27/30.72 (v106(constB51)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7327, 7319])).
% 48.27/30.72 tff(7329,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB51) | (~v106(constB51)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB51) | (~v106(constB51)))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7330,plain,
% 48.27/30.72 (((~v106(constB51)) | v102(constB51)) <=> (v102(constB51) | (~v106(constB51)))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7331,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB51)) | v102(constB51))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB51) | (~v106(constB51))))),
% 48.27/30.72 inference(monotonicity,[status(thm)],[7330])).
% 48.27/30.72 tff(7332,plain,
% 48.27/30.72 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB51)) | v102(constB51))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB51) | (~v106(constB51)))),
% 48.27/30.72 inference(transitivity,[status(thm)],[7331, 7329])).
% 48.27/30.72 tff(7333,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB51)) | v102(constB51))),
% 48.27/30.72 inference(quant_inst,[status(thm)],[])).
% 48.27/30.72 tff(7334,plain,
% 48.27/30.72 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB51) | (~v106(constB51))),
% 48.27/30.72 inference(modus_ponens,[status(thm)],[7333, 7332])).
% 48.27/30.72 tff(7335,plain,
% 48.27/30.72 (v102(constB51)),
% 48.27/30.72 inference(unit_resolution,[status(thm)],[7334, 504, 7328])).
% 48.27/30.72 tff(7336,plain,
% 48.27/30.72 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7337,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 48.27/30.72 tff(7338,plain,
% 48.27/30.72 (nextState(constB51, constB52)),
% 48.27/30.72 inference(modus_ponens,[status(thm)],[7337, 7336])).
% 48.27/30.72 tff(7339,plain,
% 48.27/30.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7340,plain,
% 48.27/30.72 (((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52)) <=> ((~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))),
% 48.27/30.72 inference(rewrite,[status(thm)],[])).
% 48.27/30.72 tff(7341,plain,
% 48.27/30.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51))))),
% 48.27/30.73 inference(monotonicity,[status(thm)],[7340])).
% 48.27/30.73 tff(7342,plain,
% 48.27/30.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))),
% 48.27/30.73 inference(transitivity,[status(thm)],[7341, 7339])).
% 48.27/30.73 tff(7343,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52))),
% 48.27/30.73 inference(quant_inst,[status(thm)],[])).
% 48.27/30.73 tff(7344,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51))),
% 48.27/30.73 inference(modus_ponens,[status(thm)],[7343, 7342])).
% 48.27/30.73 tff(7345,plain,
% 48.27/30.73 (v104(constB52) | (~v102(constB51))),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7344, 489, 7338])).
% 48.27/30.73 tff(7346,plain,
% 48.27/30.73 (v104(constB52)),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7345, 7335])).
% 48.27/30.73 tff(7347,plain,
% 48.27/30.73 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52)))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7348,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52)))),
% 48.27/30.73 inference(quant_inst,[status(thm)],[])).
% 48.27/30.73 tff(7349,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52))),
% 48.27/30.73 inference(modus_ponens,[status(thm)],[7348, 7347])).
% 48.27/30.73 tff(7350,plain,
% 48.27/30.73 (~v98(constB52)),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7349, 423, 7338, 7229])).
% 48.27/30.73 tff(7351,plain,
% 48.27/30.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB51, constB52)) | v96(constB52) | v98(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB51, constB52)) | v96(constB52) | v98(constB52))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7352,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB51, constB52)) | v96(constB52) | v98(constB52))),
% 48.27/30.73 inference(quant_inst,[status(thm)],[])).
% 48.27/30.73 tff(7353,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB51, constB52)) | v96(constB52) | v98(constB52)),
% 48.27/30.73 inference(modus_ponens,[status(thm)],[7352, 7351])).
% 48.27/30.73 tff(7354,plain,
% 48.27/30.73 (v96(constB52) | v98(constB52)),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7353, 437, 7338])).
% 48.27/30.73 tff(7355,plain,
% 48.27/30.73 (v96(constB52)),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7354, 7350])).
% 48.27/30.73 tff(7356,plain,
% 48.27/30.73 (v1(constB52) <=> v1(constB52)),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7357,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 48.27/30.73 tff(7358,plain,
% 48.27/30.73 (v1(constB52)),
% 48.27/30.73 inference(modus_ponens,[status(thm)],[7357, 7356])).
% 48.27/30.73 tff(7359,plain,
% 48.27/30.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52)))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7360,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52)))),
% 48.27/30.73 inference(quant_inst,[status(thm)],[])).
% 48.27/30.73 tff(7361,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52))),
% 48.27/30.73 inference(modus_ponens,[status(thm)],[7360, 7359])).
% 48.27/30.73 tff(7362,plain,
% 48.27/30.73 (v95(constB52) | (~v96(constB52))),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7361, 455, 7338, 7358])).
% 48.27/30.73 tff(7363,plain,
% 48.27/30.73 (v95(constB52)),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7362, 7355])).
% 48.27/30.73 tff(7364,plain,
% 48.27/30.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7365,plain,
% 48.27/30.73 (((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52)) <=> ((~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7366,plain,
% 48.27/30.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52))))),
% 48.27/30.73 inference(monotonicity,[status(thm)],[7365])).
% 48.27/30.73 tff(7367,plain,
% 48.27/30.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))),
% 48.27/30.73 inference(transitivity,[status(thm)],[7366, 7364])).
% 48.27/30.73 tff(7368,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52))),
% 48.27/30.73 inference(quant_inst,[status(thm)],[])).
% 48.27/30.73 tff(7369,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52))),
% 48.27/30.73 inference(modus_ponens,[status(thm)],[7368, 7367])).
% 48.27/30.73 tff(7370,plain,
% 48.27/30.73 (v94(constB52) | (~v95(constB52)) | (~v104(constB52))),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7369, 470, 7338])).
% 48.27/30.73 tff(7371,plain,
% 48.27/30.73 (v94(constB52) | (~v104(constB52))),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7370, 7363])).
% 48.27/30.73 tff(7372,plain,
% 48.27/30.73 (v94(constB52)),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7371, 7346])).
% 48.27/30.73 tff(7373,plain,
% 48.27/30.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB51)) | v124(constB51, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB51)) | v124(constB51, bitIndex2))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7374,plain,
% 48.27/30.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB51)) | v124(constB51, bitIndex2))),
% 48.27/30.73 inference(quant_inst,[status(thm)],[])).
% 48.27/30.73 tff(7375,plain,
% 48.27/30.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB51)) | v124(constB51, bitIndex2)),
% 48.27/30.73 inference(modus_ponens,[status(thm)],[7374, 7373])).
% 48.27/30.73 tff(7376,plain,
% 48.27/30.73 (v124(constB51, bitIndex2)),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7375, 1923, 7297])).
% 48.27/30.73 tff(7377,plain,
% 48.27/30.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB51) | (~v124(constB51, bitIndex2)) | v121(constB51, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB51) | (~v124(constB51, bitIndex2)) | v121(constB51, bitIndex2))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7378,plain,
% 48.27/30.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB51) | (~v124(constB51, bitIndex2)) | v121(constB51, bitIndex2))),
% 48.27/30.73 inference(quant_inst,[status(thm)],[])).
% 48.27/30.73 tff(7379,plain,
% 48.27/30.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB51) | (~v124(constB51, bitIndex2)) | v121(constB51, bitIndex2)),
% 48.27/30.73 inference(modus_ponens,[status(thm)],[7378, 7377])).
% 48.27/30.73 tff(7380,plain,
% 48.27/30.73 ((~v124(constB51, bitIndex2)) | v121(constB51, bitIndex2)),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7379, 374, 7323])).
% 48.27/30.73 tff(7381,plain,
% 48.27/30.73 (v121(constB51, bitIndex2)),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7380, 7376])).
% 48.27/30.73 tff(7382,plain,
% 48.27/30.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB51, constB52)) | (~v121(constB51, bitIndex2)) | v123(constB52, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB51, constB52)) | (~v121(constB51, bitIndex2)) | v123(constB52, bitIndex2))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7383,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB51, constB52)) | (~v121(constB51, bitIndex2)) | v123(constB52, bitIndex2))),
% 48.27/30.73 inference(quant_inst,[status(thm)],[])).
% 48.27/30.73 tff(7384,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB51, constB52)) | (~v121(constB51, bitIndex2)) | v123(constB52, bitIndex2)),
% 48.27/30.73 inference(modus_ponens,[status(thm)],[7383, 7382])).
% 48.27/30.73 tff(7385,plain,
% 48.27/30.73 ((~v121(constB51, bitIndex2)) | v123(constB52, bitIndex2)),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7384, 389, 7338])).
% 48.27/30.73 tff(7386,plain,
% 48.27/30.73 (v123(constB52, bitIndex2)),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7385, 7381])).
% 48.27/30.73 tff(7387,plain,
% 48.27/30.73 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~v123(constB52, bitIndex2)) | (~v94(constB52)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB52, bitIndex2) | (~v123(constB52, bitIndex2)) | (~v94(constB52)))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7388,plain,
% 48.27/30.73 ((v84(constB52, bitIndex2) | (~v94(constB52)) | (~v123(constB52, bitIndex2))) <=> (v84(constB52, bitIndex2) | (~v123(constB52, bitIndex2)) | (~v94(constB52)))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7389,plain,
% 48.27/30.73 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~v94(constB52)) | (~v123(constB52, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~v123(constB52, bitIndex2)) | (~v94(constB52))))),
% 48.27/30.73 inference(monotonicity,[status(thm)],[7388])).
% 48.27/30.73 tff(7390,plain,
% 48.27/30.73 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~v94(constB52)) | (~v123(constB52, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB52, bitIndex2) | (~v123(constB52, bitIndex2)) | (~v94(constB52)))),
% 48.27/30.73 inference(transitivity,[status(thm)],[7389, 7387])).
% 48.27/30.73 tff(7391,plain,
% 48.27/30.73 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~v94(constB52)) | (~v123(constB52, bitIndex2)))),
% 48.27/30.73 inference(quant_inst,[status(thm)],[])).
% 48.27/30.73 tff(7392,plain,
% 48.27/30.73 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB52, bitIndex2) | (~v123(constB52, bitIndex2)) | (~v94(constB52))),
% 48.27/30.73 inference(modus_ponens,[status(thm)],[7391, 7390])).
% 48.27/30.73 tff(7393,plain,
% 48.27/30.73 (v84(constB52, bitIndex2) | (~v94(constB52))),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7392, 405, 7386])).
% 48.27/30.73 tff(7394,plain,
% 48.27/30.73 (v84(constB52, bitIndex2)),
% 48.27/30.73 inference(unit_resolution,[status(thm)],[7393, 7372])).
% 48.27/30.73 tff(7395,plain,
% 48.27/30.73 ((~v1(constB53)) <=> (~v1(constB53))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7396,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 48.27/30.73 tff(7397,plain,
% 48.27/30.73 (~v1(constB53)),
% 48.27/30.73 inference(modus_ponens,[status(thm)],[7396, 7395])).
% 48.27/30.73 tff(7398,plain,
% 48.27/30.73 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7399,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 48.27/30.73 tff(7400,plain,
% 48.27/30.73 (nextState(constB52, constB53)),
% 48.27/30.73 inference(modus_ponens,[status(thm)],[7399, 7398])).
% 48.27/30.73 tff(7401,plain,
% 48.27/30.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7402,plain,
% 48.27/30.73 (((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))),
% 48.27/30.73 inference(rewrite,[status(thm)],[])).
% 48.27/30.73 tff(7403,plain,
% 48.27/30.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53))))),
% 48.27/30.73 inference(monotonicity,[status(thm)],[7402])).
% 48.27/30.73 tff(7404,plain,
% 48.27/30.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))),
% 48.27/30.73 inference(transitivity,[status(thm)],[7403, 7401])).
% 48.27/30.73 tff(7405,plain,
% 48.27/30.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53))),
% 48.29/30.74 inference(quant_inst,[status(thm)],[])).
% 48.29/30.74 tff(7406,plain,
% 48.29/30.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53))),
% 48.29/30.74 inference(modus_ponens,[status(thm)],[7405, 7404])).
% 48.29/30.74 tff(7407,plain,
% 48.29/30.74 (~v95(constB53)),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7406, 110, 7400, 7397])).
% 48.29/30.74 tff(7408,plain,
% 48.29/30.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53)))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7409,plain,
% 48.29/30.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53)))),
% 48.29/30.74 inference(quant_inst,[status(thm)],[])).
% 48.29/30.74 tff(7410,plain,
% 48.29/30.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53))),
% 48.29/30.74 inference(modus_ponens,[status(thm)],[7409, 7408])).
% 48.29/30.74 tff(7411,plain,
% 48.29/30.74 (v95(constB53) | (~v94(constB53))),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7410, 127, 7400])).
% 48.29/30.74 tff(7412,plain,
% 48.29/30.74 (~v94(constB53)),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7411, 7407])).
% 48.29/30.74 tff(7413,plain,
% 48.29/30.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex2))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7414,plain,
% 48.29/30.74 (((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex2)) | v94(constB53) | v84(constB53, bitIndex2)) <=> ((~v84(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex2))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7415,plain,
% 48.29/30.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex2)) | v94(constB53) | v84(constB53, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex2)))),
% 48.29/30.74 inference(monotonicity,[status(thm)],[7414])).
% 48.29/30.74 tff(7416,plain,
% 48.29/30.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex2)) | v94(constB53) | v84(constB53, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex2))),
% 48.29/30.74 inference(transitivity,[status(thm)],[7415, 7413])).
% 48.29/30.74 tff(7417,plain,
% 48.29/30.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex2)) | v94(constB53) | v84(constB53, bitIndex2))),
% 48.29/30.74 inference(quant_inst,[status(thm)],[])).
% 48.29/30.74 tff(7418,plain,
% 48.29/30.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex2)),
% 48.29/30.74 inference(modus_ponens,[status(thm)],[7417, 7416])).
% 48.29/30.74 tff(7419,plain,
% 48.29/30.74 ((~v84(constB52, bitIndex2)) | v94(constB53) | v84(constB53, bitIndex2)),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7418, 576, 7400])).
% 48.29/30.74 tff(7420,plain,
% 48.29/30.74 ((~v84(constB52, bitIndex2)) | v84(constB53, bitIndex2)),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7419, 7412])).
% 48.29/30.74 tff(7421,plain,
% 48.29/30.74 (v84(constB53, bitIndex2)),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7420, 7394])).
% 48.29/30.74 tff(7422,plain,
% 48.29/30.74 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB51)) | (~v124(constB51, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB51)) | (~v124(constB51, bitIndex1)))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7423,plain,
% 48.29/30.74 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB51)) | (~v124(constB51, bitIndex1)))),
% 48.29/30.74 inference(quant_inst,[status(thm)],[])).
% 48.29/30.74 tff(7424,plain,
% 48.29/30.74 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB51)) | (~v124(constB51, bitIndex1))),
% 48.29/30.74 inference(modus_ponens,[status(thm)],[7423, 7422])).
% 48.29/30.74 tff(7425,plain,
% 48.29/30.74 (~v124(constB51, bitIndex1)),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7424, 1979, 7297])).
% 48.29/30.74 tff(7426,plain,
% 48.29/30.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB51, bitIndex1)) | v26(constB51) | v124(constB51, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB51, bitIndex1)) | v26(constB51) | v124(constB51, bitIndex1))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7427,plain,
% 48.29/30.74 ((v26(constB51) | v124(constB51, bitIndex1) | (~v121(constB51, bitIndex1))) <=> ((~v121(constB51, bitIndex1)) | v26(constB51) | v124(constB51, bitIndex1))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7428,plain,
% 48.29/30.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB51) | v124(constB51, bitIndex1) | (~v121(constB51, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB51, bitIndex1)) | v26(constB51) | v124(constB51, bitIndex1)))),
% 48.29/30.74 inference(monotonicity,[status(thm)],[7427])).
% 48.29/30.74 tff(7429,plain,
% 48.29/30.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB51) | v124(constB51, bitIndex1) | (~v121(constB51, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB51, bitIndex1)) | v26(constB51) | v124(constB51, bitIndex1))),
% 48.29/30.74 inference(transitivity,[status(thm)],[7428, 7426])).
% 48.29/30.74 tff(7430,plain,
% 48.29/30.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB51) | v124(constB51, bitIndex1) | (~v121(constB51, bitIndex1)))),
% 48.29/30.74 inference(quant_inst,[status(thm)],[])).
% 48.29/30.74 tff(7431,plain,
% 48.29/30.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB51, bitIndex1)) | v26(constB51) | v124(constB51, bitIndex1)),
% 48.29/30.74 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 48.29/30.74 tff(7432,plain,
% 48.29/30.74 ((~v121(constB51, bitIndex1)) | v124(constB51, bitIndex1)),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7431, 233, 7323])).
% 48.29/30.74 tff(7433,plain,
% 48.29/30.74 (~v121(constB51, bitIndex1)),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7432, 7425])).
% 48.29/30.74 tff(7434,plain,
% 48.29/30.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex1) | (~v123(constB52, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex1) | (~v123(constB52, bitIndex1)))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7435,plain,
% 48.29/30.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex1) | (~v123(constB52, bitIndex1)))),
% 48.29/30.74 inference(quant_inst,[status(thm)],[])).
% 48.29/30.74 tff(7436,plain,
% 48.29/30.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex1) | (~v123(constB52, bitIndex1))),
% 48.29/30.74 inference(modus_ponens,[status(thm)],[7435, 7434])).
% 48.29/30.74 tff(7437,plain,
% 48.29/30.74 (v121(constB51, bitIndex1) | (~v123(constB52, bitIndex1))),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7436, 254, 7338])).
% 48.29/30.74 tff(7438,plain,
% 48.29/30.74 (~v123(constB52, bitIndex1)),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7437, 7433])).
% 48.29/30.74 tff(7439,plain,
% 48.29/30.74 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | v123(constB52, bitIndex1) | (~v94(constB52)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB52, bitIndex1)) | v123(constB52, bitIndex1) | (~v94(constB52)))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7440,plain,
% 48.29/30.74 (((~v84(constB52, bitIndex1)) | (~v94(constB52)) | v123(constB52, bitIndex1)) <=> ((~v84(constB52, bitIndex1)) | v123(constB52, bitIndex1) | (~v94(constB52)))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7441,plain,
% 48.29/30.74 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | (~v94(constB52)) | v123(constB52, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | v123(constB52, bitIndex1) | (~v94(constB52))))),
% 48.29/30.74 inference(monotonicity,[status(thm)],[7440])).
% 48.29/30.74 tff(7442,plain,
% 48.29/30.74 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | (~v94(constB52)) | v123(constB52, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB52, bitIndex1)) | v123(constB52, bitIndex1) | (~v94(constB52)))),
% 48.29/30.74 inference(transitivity,[status(thm)],[7441, 7439])).
% 48.29/30.74 tff(7443,plain,
% 48.29/30.74 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | (~v94(constB52)) | v123(constB52, bitIndex1))),
% 48.29/30.74 inference(quant_inst,[status(thm)],[])).
% 48.29/30.74 tff(7444,plain,
% 48.29/30.74 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB52, bitIndex1)) | v123(constB52, bitIndex1) | (~v94(constB52))),
% 48.29/30.74 inference(modus_ponens,[status(thm)],[7443, 7442])).
% 48.29/30.74 tff(7445,plain,
% 48.29/30.74 ((~v84(constB52, bitIndex1)) | (~v94(constB52))),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7444, 532, 7438])).
% 48.29/30.74 tff(7446,plain,
% 48.29/30.74 (~v84(constB52, bitIndex1)),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7445, 7372])).
% 48.29/30.74 tff(7447,plain,
% 48.29/30.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex1)))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7448,plain,
% 48.29/30.74 (((~nextState(constB52, constB53)) | v84(constB52, bitIndex1) | v94(constB53) | (~v84(constB53, bitIndex1))) <=> (v84(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex1)))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7449,plain,
% 48.29/30.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex1) | v94(constB53) | (~v84(constB53, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex1))))),
% 48.29/30.74 inference(monotonicity,[status(thm)],[7448])).
% 48.29/30.74 tff(7450,plain,
% 48.29/30.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex1) | v94(constB53) | (~v84(constB53, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex1)))),
% 48.29/30.74 inference(transitivity,[status(thm)],[7449, 7447])).
% 48.29/30.74 tff(7451,plain,
% 48.29/30.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex1) | v94(constB53) | (~v84(constB53, bitIndex1)))),
% 48.29/30.74 inference(quant_inst,[status(thm)],[])).
% 48.29/30.74 tff(7452,plain,
% 48.29/30.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex1))),
% 48.29/30.74 inference(modus_ponens,[status(thm)],[7451, 7450])).
% 48.29/30.74 tff(7453,plain,
% 48.29/30.74 (v84(constB52, bitIndex1) | v94(constB53) | (~v84(constB53, bitIndex1))),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7452, 163, 7400])).
% 48.29/30.74 tff(7454,plain,
% 48.29/30.74 (v84(constB52, bitIndex1) | (~v84(constB53, bitIndex1))),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7453, 7412])).
% 48.29/30.74 tff(7455,plain,
% 48.29/30.74 (~v84(constB53, bitIndex1)),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7454, 7446])).
% 48.29/30.74 tff(7456,plain,
% 48.29/30.74 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB51)) | (~v124(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB51)) | (~v124(constB51, bitIndex0)))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7457,plain,
% 48.29/30.74 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB51)) | (~v124(constB51, bitIndex0)))),
% 48.29/30.74 inference(quant_inst,[status(thm)],[])).
% 48.29/30.74 tff(7458,plain,
% 48.29/30.74 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB51)) | (~v124(constB51, bitIndex0))),
% 48.29/30.74 inference(modus_ponens,[status(thm)],[7457, 7456])).
% 48.29/30.74 tff(7459,plain,
% 48.29/30.74 (~v124(constB51, bitIndex0)),
% 48.29/30.74 inference(unit_resolution,[status(thm)],[7458, 2020, 7297])).
% 48.29/30.74 tff(7460,plain,
% 48.29/30.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7461,plain,
% 48.29/30.74 ((v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0))) <=> ((~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))),
% 48.29/30.74 inference(rewrite,[status(thm)],[])).
% 48.29/30.74 tff(7462,plain,
% 48.29/30.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0)))),
% 48.29/30.75 inference(monotonicity,[status(thm)],[7461])).
% 48.29/30.75 tff(7463,plain,
% 48.29/30.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))),
% 48.29/30.75 inference(transitivity,[status(thm)],[7462, 7460])).
% 48.29/30.75 tff(7464,plain,
% 48.29/30.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0)))),
% 48.29/30.75 inference(quant_inst,[status(thm)],[])).
% 48.29/30.75 tff(7465,plain,
% 48.29/30.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0)),
% 48.29/30.75 inference(modus_ponens,[status(thm)],[7464, 7463])).
% 48.29/30.75 tff(7466,plain,
% 48.29/30.75 ((~v121(constB51, bitIndex0)) | v124(constB51, bitIndex0)),
% 48.29/30.75 inference(unit_resolution,[status(thm)],[7465, 607, 7323])).
% 48.29/30.75 tff(7467,plain,
% 48.29/30.75 (~v121(constB51, bitIndex0)),
% 48.29/30.75 inference(unit_resolution,[status(thm)],[7466, 7459])).
% 48.29/30.75 tff(7468,plain,
% 48.29/30.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0)))),
% 48.29/30.75 inference(rewrite,[status(thm)],[])).
% 48.29/30.75 tff(7469,plain,
% 48.29/30.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0)))),
% 48.29/30.75 inference(quant_inst,[status(thm)],[])).
% 48.29/30.75 tff(7470,plain,
% 48.29/30.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0))),
% 48.29/30.75 inference(modus_ponens,[status(thm)],[7469, 7468])).
% 48.29/30.75 tff(7471,plain,
% 48.29/30.75 (v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0))),
% 48.29/30.75 inference(unit_resolution,[status(thm)],[7470, 637, 7338])).
% 48.29/30.75 tff(7472,plain,
% 48.29/30.75 (~v123(constB52, bitIndex0)),
% 48.29/30.75 inference(unit_resolution,[status(thm)],[7471, 7467])).
% 48.29/30.75 tff(7473,plain,
% 48.29/30.75 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))),
% 48.29/30.75 inference(rewrite,[status(thm)],[])).
% 48.29/30.75 tff(7474,plain,
% 48.29/30.75 (((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0)) <=> ((~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))),
% 48.29/30.75 inference(rewrite,[status(thm)],[])).
% 48.29/30.75 tff(7475,plain,
% 48.29/30.75 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52))))),
% 48.29/30.75 inference(monotonicity,[status(thm)],[7474])).
% 48.29/30.75 tff(7476,plain,
% 48.29/30.75 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))),
% 48.29/30.75 inference(transitivity,[status(thm)],[7475, 7473])).
% 48.29/30.75 tff(7477,plain,
% 48.29/30.75 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0))),
% 48.29/30.75 inference(quant_inst,[status(thm)],[])).
% 48.29/30.75 tff(7478,plain,
% 48.29/30.75 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52))),
% 48.29/30.75 inference(modus_ponens,[status(thm)],[7477, 7476])).
% 48.29/30.75 tff(7479,plain,
% 48.29/30.75 ((~v84(constB52, bitIndex0)) | (~v94(constB52))),
% 48.29/30.75 inference(unit_resolution,[status(thm)],[7478, 652, 7472])).
% 48.29/30.75 tff(7480,plain,
% 48.29/30.75 (~v84(constB52, bitIndex0)),
% 48.29/30.75 inference(unit_resolution,[status(thm)],[7479, 7372])).
% 48.29/30.75 tff(7481,plain,
% 48.29/30.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 48.29/30.75 inference(rewrite,[status(thm)],[])).
% 48.29/30.75 tff(7482,plain,
% 48.29/30.75 (((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0))) <=> (v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 48.29/30.75 inference(rewrite,[status(thm)],[])).
% 48.29/30.75 tff(7483,plain,
% 48.29/30.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0))))),
% 48.29/30.75 inference(monotonicity,[status(thm)],[7482])).
% 48.29/30.75 tff(7484,plain,
% 48.29/30.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 48.29/30.75 inference(transitivity,[status(thm)],[7483, 7481])).
% 48.29/30.75 tff(7485,plain,
% 48.29/30.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 48.29/30.75 inference(quant_inst,[status(thm)],[])).
% 48.29/30.75 tff(7486,plain,
% 48.29/30.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0))),
% 48.29/30.75 inference(modus_ponens,[status(thm)],[7485, 7484])).
% 48.29/30.75 tff(7487,plain,
% 48.29/30.75 (v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0))),
% 48.29/30.75 inference(unit_resolution,[status(thm)],[7486, 184, 7400])).
% 48.29/30.75 tff(7488,plain,
% 48.29/30.75 (v84(constB52, bitIndex0) | (~v84(constB53, bitIndex0))),
% 48.29/30.75 inference(unit_resolution,[status(thm)],[7487, 7412])).
% 48.29/30.75 tff(7489,plain,
% 48.29/30.75 (~v84(constB53, bitIndex0)),
% 48.29/30.75 inference(unit_resolution,[status(thm)],[7488, 7480])).
% 48.29/30.75 tff(7490,plain,
% 48.29/30.75 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex2)) | v172(constB53))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex2)) | v172(constB53))),
% 48.29/30.75 inference(rewrite,[status(thm)],[])).
% 48.29/30.75 tff(7491,plain,
% 48.29/30.75 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex2)) | v172(constB53))),
% 48.29/30.75 inference(quant_inst,[status(thm)],[])).
% 48.29/30.75 tff(7492,plain,
% 48.29/30.75 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex2)) | v172(constB53)),
% 48.29/30.75 inference(modus_ponens,[status(thm)],[7491, 7490])).
% 48.29/30.75 tff(7493,plain,
% 48.29/30.75 (v172(constB53)),
% 48.29/30.75 inference(unit_resolution,[status(thm)],[7492, 679, 7489, 7455, 7421])).
% 48.29/30.75 tff(7494,plain,
% 48.29/30.75 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB53) | (~v172(constB53)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB53) | (~v172(constB53)))),
% 48.29/30.75 inference(rewrite,[status(thm)],[])).
% 48.29/30.75 tff(7495,plain,
% 48.29/30.75 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB53) | (~v172(constB53)))),
% 48.29/30.75 inference(quant_inst,[status(thm)],[])).
% 48.29/30.75 tff(7496,plain,
% 48.29/30.75 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB53) | (~v172(constB53))),
% 48.29/30.75 inference(modus_ponens,[status(thm)],[7495, 7494])).
% 48.29/30.75 tff(7497,plain,
% 48.29/30.75 (v109(constB53)),
% 48.29/30.75 inference(unit_resolution,[status(thm)],[7496, 740, 7493])).
% 48.29/30.75 tff(7498,plain,
% 48.29/30.75 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB53)) | v108(constB53))),
% 48.29/30.75 inference(rewrite,[status(thm)],[])).
% 48.29/30.75 tff(7499,plain,
% 48.29/30.75 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB53)) | v108(constB53))),
% 48.29/30.75 inference(quant_inst,[status(thm)],[])).
% 48.29/30.75 tff(7500,plain,
% 48.29/30.75 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB53)) | v108(constB53)),
% 48.29/30.75 inference(modus_ponens,[status(thm)],[7499, 7498])).
% 48.29/30.75 tff(7501,plain,
% 48.29/30.75 (v108(constB53)),
% 48.29/30.75 inference(unit_resolution,[status(thm)],[7500, 320, 7497])).
% 48.29/30.75 tff(7502,plain,
% 48.29/30.75 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB53) | (~v108(constB53)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB53) | (~v108(constB53)))),
% 48.29/30.75 inference(rewrite,[status(thm)],[])).
% 48.29/30.75 tff(7503,plain,
% 48.29/30.75 (((~v108(constB53)) | v107(constB53)) <=> (v107(constB53) | (~v108(constB53)))),
% 48.29/30.75 inference(rewrite,[status(thm)],[])).
% 48.29/30.75 tff(7504,plain,
% 48.29/30.75 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB53)) | v107(constB53))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB53) | (~v108(constB53))))),
% 48.29/30.75 inference(monotonicity,[status(thm)],[7503])).
% 48.29/30.75 tff(7505,plain,
% 48.29/30.75 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB53)) | v107(constB53))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB53) | (~v108(constB53)))),
% 48.29/30.75 inference(transitivity,[status(thm)],[7504, 7502])).
% 48.29/30.75 tff(7506,plain,
% 48.29/30.75 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB53)) | v107(constB53))),
% 48.29/30.75 inference(quant_inst,[status(thm)],[])).
% 48.29/30.75 tff(7507,plain,
% 48.29/30.76 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB53) | (~v108(constB53))),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7506, 7505])).
% 48.29/30.76 tff(7508,plain,
% 48.29/30.76 (v107(constB53)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7507, 334, 7501])).
% 48.29/30.76 tff(7509,assumption,(v26(constB53)), introduced(assumption)).
% 48.29/30.76 tff(7510,plain,
% 48.29/30.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 48.29/30.76 inference(quant_inst,[status(thm)],[])).
% 48.29/30.76 tff(7511,plain,
% 48.29/30.76 ($false),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7510, 55, 7509])).
% 48.29/30.76 tff(7512,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 48.29/30.76 tff(7513,plain,
% 48.29/30.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | v106(constB53) | (~v107(constB53)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB53) | v106(constB53) | (~v107(constB53)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7514,plain,
% 48.29/30.76 ((v26(constB53) | (~v107(constB53)) | v106(constB53)) <=> (v26(constB53) | v106(constB53) | (~v107(constB53)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7515,plain,
% 48.29/30.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | (~v107(constB53)) | v106(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | v106(constB53) | (~v107(constB53))))),
% 48.29/30.76 inference(monotonicity,[status(thm)],[7514])).
% 48.29/30.76 tff(7516,plain,
% 48.29/30.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | (~v107(constB53)) | v106(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB53) | v106(constB53) | (~v107(constB53)))),
% 48.29/30.76 inference(transitivity,[status(thm)],[7515, 7513])).
% 48.29/30.76 tff(7517,plain,
% 48.29/30.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | (~v107(constB53)) | v106(constB53))),
% 48.29/30.76 inference(quant_inst,[status(thm)],[])).
% 48.29/30.76 tff(7518,plain,
% 48.29/30.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB53) | v106(constB53) | (~v107(constB53))),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7517, 7516])).
% 48.29/30.76 tff(7519,plain,
% 48.29/30.76 (v106(constB53) | (~v107(constB53))),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7518, 348, 7512])).
% 48.29/30.76 tff(7520,plain,
% 48.29/30.76 (v106(constB53)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7519, 7508])).
% 48.29/30.76 tff(7521,plain,
% 48.29/30.76 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB53) | (~v106(constB53)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB53) | (~v106(constB53)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7522,plain,
% 48.29/30.76 (((~v106(constB53)) | v102(constB53)) <=> (v102(constB53) | (~v106(constB53)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7523,plain,
% 48.29/30.76 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB53)) | v102(constB53))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB53) | (~v106(constB53))))),
% 48.29/30.76 inference(monotonicity,[status(thm)],[7522])).
% 48.29/30.76 tff(7524,plain,
% 48.29/30.76 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB53)) | v102(constB53))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB53) | (~v106(constB53)))),
% 48.29/30.76 inference(transitivity,[status(thm)],[7523, 7521])).
% 48.29/30.76 tff(7525,plain,
% 48.29/30.76 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB53)) | v102(constB53))),
% 48.29/30.76 inference(quant_inst,[status(thm)],[])).
% 48.29/30.76 tff(7526,plain,
% 48.29/30.76 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB53) | (~v106(constB53))),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7525, 7524])).
% 48.29/30.76 tff(7527,plain,
% 48.29/30.76 (v102(constB53)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7526, 504, 7520])).
% 48.29/30.76 tff(7528,plain,
% 48.29/30.76 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7529,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 48.29/30.76 tff(7530,plain,
% 48.29/30.76 (nextState(constB53, constB54)),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7529, 7528])).
% 48.29/30.76 tff(7531,plain,
% 48.29/30.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7532,plain,
% 48.29/30.76 (((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54)) <=> ((~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7533,plain,
% 48.29/30.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53))))),
% 48.29/30.76 inference(monotonicity,[status(thm)],[7532])).
% 48.29/30.76 tff(7534,plain,
% 48.29/30.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))),
% 48.29/30.76 inference(transitivity,[status(thm)],[7533, 7531])).
% 48.29/30.76 tff(7535,plain,
% 48.29/30.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54))),
% 48.29/30.76 inference(quant_inst,[status(thm)],[])).
% 48.29/30.76 tff(7536,plain,
% 48.29/30.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53))),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7535, 7534])).
% 48.29/30.76 tff(7537,plain,
% 48.29/30.76 (v104(constB54) | (~v102(constB53))),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7536, 489, 7530])).
% 48.29/30.76 tff(7538,plain,
% 48.29/30.76 (v104(constB54)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7537, 7527])).
% 48.29/30.76 tff(7539,plain,
% 48.29/30.76 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7540,plain,
% 48.29/30.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54)))),
% 48.29/30.76 inference(quant_inst,[status(thm)],[])).
% 48.29/30.76 tff(7541,plain,
% 48.29/30.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54))),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7540, 7539])).
% 48.29/30.76 tff(7542,plain,
% 48.29/30.76 (~v98(constB54)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7541, 423, 7530, 7397])).
% 48.29/30.76 tff(7543,plain,
% 48.29/30.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB53, constB54)) | v96(constB54) | v98(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB53, constB54)) | v96(constB54) | v98(constB54))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7544,plain,
% 48.29/30.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB53, constB54)) | v96(constB54) | v98(constB54))),
% 48.29/30.76 inference(quant_inst,[status(thm)],[])).
% 48.29/30.76 tff(7545,plain,
% 48.29/30.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB53, constB54)) | v96(constB54) | v98(constB54)),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7544, 7543])).
% 48.29/30.76 tff(7546,plain,
% 48.29/30.76 (v96(constB54) | v98(constB54)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7545, 437, 7530])).
% 48.29/30.76 tff(7547,plain,
% 48.29/30.76 (v96(constB54)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7546, 7542])).
% 48.29/30.76 tff(7548,plain,
% 48.29/30.76 (v1(constB54) <=> v1(constB54)),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7549,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 48.29/30.76 tff(7550,plain,
% 48.29/30.76 (v1(constB54)),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7549, 7548])).
% 48.29/30.76 tff(7551,plain,
% 48.29/30.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7552,plain,
% 48.29/30.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54)))),
% 48.29/30.76 inference(quant_inst,[status(thm)],[])).
% 48.29/30.76 tff(7553,plain,
% 48.29/30.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54))),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7552, 7551])).
% 48.29/30.76 tff(7554,plain,
% 48.29/30.76 (v95(constB54) | (~v96(constB54))),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7553, 455, 7530, 7550])).
% 48.29/30.76 tff(7555,plain,
% 48.29/30.76 (v95(constB54)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7554, 7547])).
% 48.29/30.76 tff(7556,plain,
% 48.29/30.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7557,plain,
% 48.29/30.76 (((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54)) <=> ((~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7558,plain,
% 48.29/30.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54))))),
% 48.29/30.76 inference(monotonicity,[status(thm)],[7557])).
% 48.29/30.76 tff(7559,plain,
% 48.29/30.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))),
% 48.29/30.76 inference(transitivity,[status(thm)],[7558, 7556])).
% 48.29/30.76 tff(7560,plain,
% 48.29/30.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54))),
% 48.29/30.76 inference(quant_inst,[status(thm)],[])).
% 48.29/30.76 tff(7561,plain,
% 48.29/30.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54))),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7560, 7559])).
% 48.29/30.76 tff(7562,plain,
% 48.29/30.76 (v94(constB54) | (~v95(constB54)) | (~v104(constB54))),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7561, 470, 7530])).
% 48.29/30.76 tff(7563,plain,
% 48.29/30.76 (v94(constB54) | (~v104(constB54))),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7562, 7555])).
% 48.29/30.76 tff(7564,plain,
% 48.29/30.76 (v94(constB54)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7563, 7538])).
% 48.29/30.76 tff(7565,plain,
% 48.29/30.76 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB53)) | v124(constB53, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB53)) | v124(constB53, bitIndex2))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7566,plain,
% 48.29/30.76 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB53)) | v124(constB53, bitIndex2))),
% 48.29/30.76 inference(quant_inst,[status(thm)],[])).
% 48.29/30.76 tff(7567,plain,
% 48.29/30.76 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB53)) | v124(constB53, bitIndex2)),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7566, 7565])).
% 48.29/30.76 tff(7568,plain,
% 48.29/30.76 (v124(constB53, bitIndex2)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7567, 691, 7493])).
% 48.29/30.76 tff(7569,plain,
% 48.29/30.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB53) | (~v124(constB53, bitIndex2)) | v121(constB53, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB53) | (~v124(constB53, bitIndex2)) | v121(constB53, bitIndex2))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7570,plain,
% 48.29/30.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB53) | (~v124(constB53, bitIndex2)) | v121(constB53, bitIndex2))),
% 48.29/30.76 inference(quant_inst,[status(thm)],[])).
% 48.29/30.76 tff(7571,plain,
% 48.29/30.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB53) | (~v124(constB53, bitIndex2)) | v121(constB53, bitIndex2)),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7570, 7569])).
% 48.29/30.76 tff(7572,plain,
% 48.29/30.76 ((~v124(constB53, bitIndex2)) | v121(constB53, bitIndex2)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7571, 374, 7512])).
% 48.29/30.76 tff(7573,plain,
% 48.29/30.76 (v121(constB53, bitIndex2)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7572, 7568])).
% 48.29/30.76 tff(7574,plain,
% 48.29/30.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex2)) | v123(constB54, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex2)) | v123(constB54, bitIndex2))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7575,plain,
% 48.29/30.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex2)) | v123(constB54, bitIndex2))),
% 48.29/30.76 inference(quant_inst,[status(thm)],[])).
% 48.29/30.76 tff(7576,plain,
% 48.29/30.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex2)) | v123(constB54, bitIndex2)),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7575, 7574])).
% 48.29/30.76 tff(7577,plain,
% 48.29/30.76 ((~v121(constB53, bitIndex2)) | v123(constB54, bitIndex2)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7576, 389, 7530])).
% 48.29/30.76 tff(7578,plain,
% 48.29/30.76 (v123(constB54, bitIndex2)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7577, 7573])).
% 48.29/30.76 tff(7579,plain,
% 48.29/30.76 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2)) | (~v94(constB54)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2)) | (~v94(constB54)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7580,plain,
% 48.29/30.76 ((v84(constB54, bitIndex2) | (~v94(constB54)) | (~v123(constB54, bitIndex2))) <=> (v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2)) | (~v94(constB54)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7581,plain,
% 48.29/30.76 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~v94(constB54)) | (~v123(constB54, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2)) | (~v94(constB54))))),
% 48.29/30.76 inference(monotonicity,[status(thm)],[7580])).
% 48.29/30.76 tff(7582,plain,
% 48.29/30.76 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~v94(constB54)) | (~v123(constB54, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2)) | (~v94(constB54)))),
% 48.29/30.76 inference(transitivity,[status(thm)],[7581, 7579])).
% 48.29/30.76 tff(7583,plain,
% 48.29/30.76 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~v94(constB54)) | (~v123(constB54, bitIndex2)))),
% 48.29/30.76 inference(quant_inst,[status(thm)],[])).
% 48.29/30.76 tff(7584,plain,
% 48.29/30.76 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2)) | (~v94(constB54))),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7583, 7582])).
% 48.29/30.76 tff(7585,plain,
% 48.29/30.76 (v84(constB54, bitIndex2) | (~v94(constB54))),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7584, 405, 7578])).
% 48.29/30.76 tff(7586,plain,
% 48.29/30.76 (v84(constB54, bitIndex2)),
% 48.29/30.76 inference(unit_resolution,[status(thm)],[7585, 7564])).
% 48.29/30.76 tff(7587,plain,
% 48.29/30.76 ((~v1(constB55)) <=> (~v1(constB55))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7588,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 48.29/30.76 tff(7589,plain,
% 48.29/30.76 (~v1(constB55)),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7588, 7587])).
% 48.29/30.76 tff(7590,plain,
% 48.29/30.76 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7591,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 48.29/30.76 tff(7592,plain,
% 48.29/30.76 (nextState(constB54, constB55)),
% 48.29/30.76 inference(modus_ponens,[status(thm)],[7591, 7590])).
% 48.29/30.76 tff(7593,plain,
% 48.29/30.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7594,plain,
% 48.29/30.76 (((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))),
% 48.29/30.76 inference(rewrite,[status(thm)],[])).
% 48.29/30.76 tff(7595,plain,
% 48.29/30.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55))))),
% 48.29/30.77 inference(monotonicity,[status(thm)],[7594])).
% 48.29/30.77 tff(7596,plain,
% 48.29/30.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))),
% 48.29/30.77 inference(transitivity,[status(thm)],[7595, 7593])).
% 48.29/30.77 tff(7597,plain,
% 48.29/30.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55))),
% 48.29/30.77 inference(quant_inst,[status(thm)],[])).
% 48.29/30.77 tff(7598,plain,
% 48.29/30.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55))),
% 48.29/30.77 inference(modus_ponens,[status(thm)],[7597, 7596])).
% 48.29/30.77 tff(7599,plain,
% 48.29/30.77 (~v95(constB55)),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7598, 110, 7592, 7589])).
% 48.29/30.77 tff(7600,plain,
% 48.29/30.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55)))),
% 48.29/30.77 inference(rewrite,[status(thm)],[])).
% 48.29/30.77 tff(7601,plain,
% 48.29/30.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55)))),
% 48.29/30.77 inference(quant_inst,[status(thm)],[])).
% 48.29/30.77 tff(7602,plain,
% 48.29/30.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55))),
% 48.29/30.77 inference(modus_ponens,[status(thm)],[7601, 7600])).
% 48.29/30.77 tff(7603,plain,
% 48.29/30.77 (v95(constB55) | (~v94(constB55))),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7602, 127, 7592])).
% 48.29/30.77 tff(7604,plain,
% 48.29/30.77 (~v94(constB55)),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7603, 7599])).
% 48.29/30.77 tff(7605,plain,
% 48.29/30.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex2))),
% 48.29/30.77 inference(rewrite,[status(thm)],[])).
% 48.29/30.77 tff(7606,plain,
% 48.29/30.77 (((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex2)) | v94(constB55) | v84(constB55, bitIndex2)) <=> ((~v84(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex2))),
% 48.29/30.77 inference(rewrite,[status(thm)],[])).
% 48.29/30.77 tff(7607,plain,
% 48.29/30.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex2)) | v94(constB55) | v84(constB55, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex2)))),
% 48.29/30.77 inference(monotonicity,[status(thm)],[7606])).
% 48.29/30.77 tff(7608,plain,
% 48.29/30.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex2)) | v94(constB55) | v84(constB55, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex2))),
% 48.29/30.77 inference(transitivity,[status(thm)],[7607, 7605])).
% 48.29/30.77 tff(7609,plain,
% 48.29/30.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex2)) | v94(constB55) | v84(constB55, bitIndex2))),
% 48.29/30.77 inference(quant_inst,[status(thm)],[])).
% 48.29/30.77 tff(7610,plain,
% 48.29/30.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex2)),
% 48.29/30.77 inference(modus_ponens,[status(thm)],[7609, 7608])).
% 48.29/30.77 tff(7611,plain,
% 48.29/30.77 ((~v84(constB54, bitIndex2)) | v94(constB55) | v84(constB55, bitIndex2)),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7610, 576, 7592])).
% 48.29/30.77 tff(7612,plain,
% 48.29/30.77 ((~v84(constB54, bitIndex2)) | v84(constB55, bitIndex2)),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7611, 7604])).
% 48.29/30.77 tff(7613,plain,
% 48.29/30.77 (v84(constB55, bitIndex2)),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7612, 7586])).
% 48.29/30.77 tff(7614,plain,
% 48.29/30.77 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB53)) | v124(constB53, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB53)) | v124(constB53, bitIndex1))),
% 48.29/30.77 inference(rewrite,[status(thm)],[])).
% 48.29/30.77 tff(7615,plain,
% 48.29/30.77 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB53)) | v124(constB53, bitIndex1))),
% 48.29/30.77 inference(quant_inst,[status(thm)],[])).
% 48.29/30.77 tff(7616,plain,
% 48.29/30.77 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB53)) | v124(constB53, bitIndex1)),
% 48.29/30.77 inference(modus_ponens,[status(thm)],[7615, 7614])).
% 48.29/30.77 tff(7617,plain,
% 48.29/30.77 (v124(constB53, bitIndex1)),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7616, 843, 7493])).
% 48.29/30.77 tff(7618,plain,
% 48.29/30.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1))),
% 48.29/30.77 inference(rewrite,[status(thm)],[])).
% 48.29/30.77 tff(7619,plain,
% 48.29/30.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1))),
% 48.29/30.77 inference(quant_inst,[status(thm)],[])).
% 48.29/30.77 tff(7620,plain,
% 48.29/30.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1)),
% 48.29/30.77 inference(modus_ponens,[status(thm)],[7619, 7618])).
% 48.29/30.77 tff(7621,plain,
% 48.29/30.77 ((~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1)),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7620, 857, 7512])).
% 48.29/30.77 tff(7622,plain,
% 48.29/30.77 (v121(constB53, bitIndex1)),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7621, 7617])).
% 48.29/30.77 tff(7623,plain,
% 48.29/30.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1))),
% 48.29/30.77 inference(rewrite,[status(thm)],[])).
% 48.29/30.77 tff(7624,plain,
% 48.29/30.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1))),
% 48.29/30.77 inference(quant_inst,[status(thm)],[])).
% 48.29/30.77 tff(7625,plain,
% 48.29/30.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1)),
% 48.29/30.77 inference(modus_ponens,[status(thm)],[7624, 7623])).
% 48.29/30.77 tff(7626,plain,
% 48.29/30.77 ((~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1)),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7625, 872, 7530])).
% 48.29/30.77 tff(7627,plain,
% 48.29/30.77 (v123(constB54, bitIndex1)),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7626, 7622])).
% 48.29/30.77 tff(7628,plain,
% 48.29/30.77 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))),
% 48.29/30.77 inference(rewrite,[status(thm)],[])).
% 48.29/30.77 tff(7629,plain,
% 48.29/30.77 ((v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1))) <=> (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))),
% 48.29/30.77 inference(rewrite,[status(thm)],[])).
% 48.29/30.77 tff(7630,plain,
% 48.29/30.77 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54))))),
% 48.29/30.77 inference(monotonicity,[status(thm)],[7629])).
% 48.29/30.77 tff(7631,plain,
% 48.29/30.77 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))),
% 48.29/30.77 inference(transitivity,[status(thm)],[7630, 7628])).
% 48.29/30.77 tff(7632,plain,
% 48.29/30.77 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1)))),
% 48.29/30.77 inference(quant_inst,[status(thm)],[])).
% 48.29/30.77 tff(7633,plain,
% 48.29/30.77 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54))),
% 48.29/30.77 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 48.29/30.77 tff(7634,plain,
% 48.29/30.77 (v84(constB54, bitIndex1) | (~v94(constB54))),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7633, 887, 7627])).
% 48.29/30.77 tff(7635,plain,
% 48.29/30.77 (v84(constB54, bitIndex1)),
% 48.29/30.77 inference(unit_resolution,[status(thm)],[7634, 7564])).
% 48.29/30.77 tff(7636,plain,
% 48.29/30.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))),
% 48.29/30.77 inference(rewrite,[status(thm)],[])).
% 48.29/30.77 tff(7637,plain,
% 48.29/30.77 (((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1)) <=> ((~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))),
% 48.29/30.77 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7638,plain,
% 48.29/30.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1)))),
% 48.29/30.78 inference(monotonicity,[status(thm)],[7637])).
% 48.29/30.78 tff(7639,plain,
% 48.29/30.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))),
% 48.29/30.78 inference(transitivity,[status(thm)],[7638, 7636])).
% 48.29/30.78 tff(7640,plain,
% 48.29/30.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1))),
% 48.29/30.78 inference(quant_inst,[status(thm)],[])).
% 48.29/30.78 tff(7641,plain,
% 48.29/30.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1)),
% 48.29/30.78 inference(modus_ponens,[status(thm)],[7640, 7639])).
% 48.29/30.78 tff(7642,plain,
% 48.29/30.78 ((~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7641, 905, 7592])).
% 48.29/30.78 tff(7643,plain,
% 48.29/30.78 ((~v84(constB54, bitIndex1)) | v84(constB55, bitIndex1)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7642, 7604])).
% 48.29/30.78 tff(7644,plain,
% 48.29/30.78 (v84(constB55, bitIndex1)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7643, 7635])).
% 48.29/30.78 tff(7645,plain,
% 48.29/30.78 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB53)) | (~v124(constB53, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB53)) | (~v124(constB53, bitIndex0)))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7646,plain,
% 48.29/30.78 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB53)) | (~v124(constB53, bitIndex0)))),
% 48.29/30.78 inference(quant_inst,[status(thm)],[])).
% 48.29/30.78 tff(7647,plain,
% 48.29/30.78 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB53)) | (~v124(constB53, bitIndex0))),
% 48.29/30.78 inference(modus_ponens,[status(thm)],[7646, 7645])).
% 48.29/30.78 tff(7648,plain,
% 48.29/30.78 (~v124(constB53, bitIndex0)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7647, 921, 7493])).
% 48.29/30.78 tff(7649,plain,
% 48.29/30.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB53, bitIndex0)) | v26(constB53) | v124(constB53, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB53, bitIndex0)) | v26(constB53) | v124(constB53, bitIndex0))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7650,plain,
% 48.29/30.78 ((v26(constB53) | v124(constB53, bitIndex0) | (~v121(constB53, bitIndex0))) <=> ((~v121(constB53, bitIndex0)) | v26(constB53) | v124(constB53, bitIndex0))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7651,plain,
% 48.29/30.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB53) | v124(constB53, bitIndex0) | (~v121(constB53, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB53, bitIndex0)) | v26(constB53) | v124(constB53, bitIndex0)))),
% 48.29/30.78 inference(monotonicity,[status(thm)],[7650])).
% 48.29/30.78 tff(7652,plain,
% 48.29/30.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB53) | v124(constB53, bitIndex0) | (~v121(constB53, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB53, bitIndex0)) | v26(constB53) | v124(constB53, bitIndex0))),
% 48.29/30.78 inference(transitivity,[status(thm)],[7651, 7649])).
% 48.29/30.78 tff(7653,plain,
% 48.29/30.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB53) | v124(constB53, bitIndex0) | (~v121(constB53, bitIndex0)))),
% 48.29/30.78 inference(quant_inst,[status(thm)],[])).
% 48.29/30.78 tff(7654,plain,
% 48.29/30.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB53, bitIndex0)) | v26(constB53) | v124(constB53, bitIndex0)),
% 48.29/30.78 inference(modus_ponens,[status(thm)],[7653, 7652])).
% 48.29/30.78 tff(7655,plain,
% 48.29/30.78 ((~v121(constB53, bitIndex0)) | v124(constB53, bitIndex0)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7654, 607, 7512])).
% 48.29/30.78 tff(7656,plain,
% 48.29/30.78 (~v121(constB53, bitIndex0)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7655, 7648])).
% 48.29/30.78 tff(7657,plain,
% 48.29/30.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v121(constB53, bitIndex0) | (~v123(constB54, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB53, constB54)) | v121(constB53, bitIndex0) | (~v123(constB54, bitIndex0)))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7658,plain,
% 48.29/30.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v121(constB53, bitIndex0) | (~v123(constB54, bitIndex0)))),
% 48.29/30.78 inference(quant_inst,[status(thm)],[])).
% 48.29/30.78 tff(7659,plain,
% 48.29/30.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB53, constB54)) | v121(constB53, bitIndex0) | (~v123(constB54, bitIndex0))),
% 48.29/30.78 inference(modus_ponens,[status(thm)],[7658, 7657])).
% 48.29/30.78 tff(7660,plain,
% 48.29/30.78 (v121(constB53, bitIndex0) | (~v123(constB54, bitIndex0))),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7659, 637, 7530])).
% 48.29/30.78 tff(7661,plain,
% 48.29/30.78 (~v123(constB54, bitIndex0)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7660, 7656])).
% 48.29/30.78 tff(7662,plain,
% 48.29/30.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0) | (~v94(constB54)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0) | (~v94(constB54)))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7663,plain,
% 48.29/30.78 (((~v84(constB54, bitIndex0)) | (~v94(constB54)) | v123(constB54, bitIndex0)) <=> ((~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0) | (~v94(constB54)))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7664,plain,
% 48.29/30.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | (~v94(constB54)) | v123(constB54, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0) | (~v94(constB54))))),
% 48.29/30.78 inference(monotonicity,[status(thm)],[7663])).
% 48.29/30.78 tff(7665,plain,
% 48.29/30.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | (~v94(constB54)) | v123(constB54, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0) | (~v94(constB54)))),
% 48.29/30.78 inference(transitivity,[status(thm)],[7664, 7662])).
% 48.29/30.78 tff(7666,plain,
% 48.29/30.78 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | (~v94(constB54)) | v123(constB54, bitIndex0))),
% 48.29/30.78 inference(quant_inst,[status(thm)],[])).
% 48.29/30.78 tff(7667,plain,
% 48.29/30.78 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0) | (~v94(constB54))),
% 48.29/30.78 inference(modus_ponens,[status(thm)],[7666, 7665])).
% 48.29/30.78 tff(7668,plain,
% 48.29/30.78 ((~v84(constB54, bitIndex0)) | (~v94(constB54))),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7667, 652, 7661])).
% 48.29/30.78 tff(7669,plain,
% 48.29/30.78 (~v84(constB54, bitIndex0)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7668, 7564])).
% 48.29/30.78 tff(7670,plain,
% 48.29/30.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex0)))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7671,plain,
% 48.29/30.78 (((~nextState(constB54, constB55)) | v84(constB54, bitIndex0) | v94(constB55) | (~v84(constB55, bitIndex0))) <=> (v84(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex0)))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7672,plain,
% 48.29/30.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v84(constB54, bitIndex0) | v94(constB55) | (~v84(constB55, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex0))))),
% 48.29/30.78 inference(monotonicity,[status(thm)],[7671])).
% 48.29/30.78 tff(7673,plain,
% 48.29/30.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v84(constB54, bitIndex0) | v94(constB55) | (~v84(constB55, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex0)))),
% 48.29/30.78 inference(transitivity,[status(thm)],[7672, 7670])).
% 48.29/30.78 tff(7674,plain,
% 48.29/30.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v84(constB54, bitIndex0) | v94(constB55) | (~v84(constB55, bitIndex0)))),
% 48.29/30.78 inference(quant_inst,[status(thm)],[])).
% 48.29/30.78 tff(7675,plain,
% 48.29/30.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex0))),
% 48.29/30.78 inference(modus_ponens,[status(thm)],[7674, 7673])).
% 48.29/30.78 tff(7676,plain,
% 48.29/30.78 (v84(constB54, bitIndex0) | v94(constB55) | (~v84(constB55, bitIndex0))),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7675, 184, 7592])).
% 48.29/30.78 tff(7677,plain,
% 48.29/30.78 (v84(constB54, bitIndex0) | (~v84(constB55, bitIndex0))),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7676, 7604])).
% 48.29/30.78 tff(7678,plain,
% 48.29/30.78 (~v84(constB55, bitIndex0)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7677, 7669])).
% 48.29/30.78 tff(7679,plain,
% 48.29/30.78 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex2)) | v119(constB55))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex2)) | v119(constB55))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7680,plain,
% 48.29/30.78 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex2)) | v119(constB55))),
% 48.29/30.78 inference(quant_inst,[status(thm)],[])).
% 48.29/30.78 tff(7681,plain,
% 48.29/30.78 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex2)) | v119(constB55)),
% 48.29/30.78 inference(modus_ponens,[status(thm)],[7680, 7679])).
% 48.29/30.78 tff(7682,plain,
% 48.29/30.78 (v119(constB55)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7681, 965, 7678, 7644, 7613])).
% 48.29/30.78 tff(7683,plain,
% 48.29/30.78 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB55)) | v107(constB55))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB55)) | v107(constB55))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7684,plain,
% 48.29/30.78 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB55)) | v107(constB55))),
% 48.29/30.78 inference(quant_inst,[status(thm)],[])).
% 48.29/30.78 tff(7685,plain,
% 48.29/30.78 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB55)) | v107(constB55)),
% 48.29/30.78 inference(modus_ponens,[status(thm)],[7684, 7683])).
% 48.29/30.78 tff(7686,plain,
% 48.29/30.78 (v107(constB55)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7685, 976, 7682])).
% 48.29/30.78 tff(7687,assumption,(v26(constB55)), introduced(assumption)).
% 48.29/30.78 tff(7688,plain,
% 48.29/30.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 48.29/30.78 inference(quant_inst,[status(thm)],[])).
% 48.29/30.78 tff(7689,plain,
% 48.29/30.78 ($false),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7688, 55, 7687])).
% 48.29/30.78 tff(7690,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 48.29/30.78 tff(7691,plain,
% 48.29/30.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | (~v107(constB55)) | v106(constB55))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB55) | (~v107(constB55)) | v106(constB55))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7692,plain,
% 48.29/30.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | (~v107(constB55)) | v106(constB55))),
% 48.29/30.78 inference(quant_inst,[status(thm)],[])).
% 48.29/30.78 tff(7693,plain,
% 48.29/30.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB55) | (~v107(constB55)) | v106(constB55)),
% 48.29/30.78 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 48.29/30.78 tff(7694,plain,
% 48.29/30.78 ((~v107(constB55)) | v106(constB55)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7693, 348, 7690])).
% 48.29/30.78 tff(7695,plain,
% 48.29/30.78 (v106(constB55)),
% 48.29/30.78 inference(unit_resolution,[status(thm)],[7694, 7686])).
% 48.29/30.78 tff(7696,plain,
% 48.29/30.78 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB55) | (~v106(constB55)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB55) | (~v106(constB55)))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7697,plain,
% 48.29/30.78 (((~v106(constB55)) | v102(constB55)) <=> (v102(constB55) | (~v106(constB55)))),
% 48.29/30.78 inference(rewrite,[status(thm)],[])).
% 48.29/30.78 tff(7698,plain,
% 48.29/30.78 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB55)) | v102(constB55))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB55) | (~v106(constB55))))),
% 48.29/30.78 inference(monotonicity,[status(thm)],[7697])).
% 48.29/30.78 tff(7699,plain,
% 48.29/30.78 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB55)) | v102(constB55))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB55) | (~v106(constB55)))),
% 48.29/30.79 inference(transitivity,[status(thm)],[7698, 7696])).
% 48.29/30.79 tff(7700,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB55)) | v102(constB55))),
% 48.29/30.79 inference(quant_inst,[status(thm)],[])).
% 48.29/30.79 tff(7701,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB55) | (~v106(constB55))),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7700, 7699])).
% 48.29/30.79 tff(7702,plain,
% 48.29/30.79 (v102(constB55)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7701, 504, 7695])).
% 48.29/30.79 tff(7703,plain,
% 48.29/30.79 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7704,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 48.29/30.79 tff(7705,plain,
% 48.29/30.79 (nextState(constB55, constB56)),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7704, 7703])).
% 48.29/30.79 tff(7706,plain,
% 48.29/30.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7707,plain,
% 48.29/30.79 (((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56)) <=> ((~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7708,plain,
% 48.29/30.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55))))),
% 48.29/30.79 inference(monotonicity,[status(thm)],[7707])).
% 48.29/30.79 tff(7709,plain,
% 48.29/30.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))),
% 48.29/30.79 inference(transitivity,[status(thm)],[7708, 7706])).
% 48.29/30.79 tff(7710,plain,
% 48.29/30.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56))),
% 48.29/30.79 inference(quant_inst,[status(thm)],[])).
% 48.29/30.79 tff(7711,plain,
% 48.29/30.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55))),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7710, 7709])).
% 48.29/30.79 tff(7712,plain,
% 48.29/30.79 (v104(constB56) | (~v102(constB55))),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7711, 489, 7705])).
% 48.29/30.79 tff(7713,plain,
% 48.29/30.79 (v104(constB56)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7712, 7702])).
% 48.29/30.79 tff(7714,plain,
% 48.29/30.79 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7715,plain,
% 48.29/30.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56)))),
% 48.29/30.79 inference(quant_inst,[status(thm)],[])).
% 48.29/30.79 tff(7716,plain,
% 48.29/30.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56))),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7715, 7714])).
% 48.29/30.79 tff(7717,plain,
% 48.29/30.79 (~v98(constB56)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7716, 423, 7705, 7589])).
% 48.29/30.79 tff(7718,plain,
% 48.29/30.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB55, constB56)) | v96(constB56) | v98(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB55, constB56)) | v96(constB56) | v98(constB56))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7719,plain,
% 48.29/30.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB55, constB56)) | v96(constB56) | v98(constB56))),
% 48.29/30.79 inference(quant_inst,[status(thm)],[])).
% 48.29/30.79 tff(7720,plain,
% 48.29/30.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB55, constB56)) | v96(constB56) | v98(constB56)),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7719, 7718])).
% 48.29/30.79 tff(7721,plain,
% 48.29/30.79 (v96(constB56) | v98(constB56)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7720, 437, 7705])).
% 48.29/30.79 tff(7722,plain,
% 48.29/30.79 (v96(constB56)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7721, 7717])).
% 48.29/30.79 tff(7723,plain,
% 48.29/30.79 (v1(constB56) <=> v1(constB56)),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7724,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 48.29/30.79 tff(7725,plain,
% 48.29/30.79 (v1(constB56)),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7724, 7723])).
% 48.29/30.79 tff(7726,plain,
% 48.29/30.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7727,plain,
% 48.29/30.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56)))),
% 48.29/30.79 inference(quant_inst,[status(thm)],[])).
% 48.29/30.79 tff(7728,plain,
% 48.29/30.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56))),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7727, 7726])).
% 48.29/30.79 tff(7729,plain,
% 48.29/30.79 (v95(constB56) | (~v96(constB56))),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7728, 455, 7705, 7725])).
% 48.29/30.79 tff(7730,plain,
% 48.29/30.79 (v95(constB56)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7729, 7722])).
% 48.29/30.79 tff(7731,plain,
% 48.29/30.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7732,plain,
% 48.29/30.79 (((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56)) <=> ((~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7733,plain,
% 48.29/30.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56))))),
% 48.29/30.79 inference(monotonicity,[status(thm)],[7732])).
% 48.29/30.79 tff(7734,plain,
% 48.29/30.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))),
% 48.29/30.79 inference(transitivity,[status(thm)],[7733, 7731])).
% 48.29/30.79 tff(7735,plain,
% 48.29/30.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56))),
% 48.29/30.79 inference(quant_inst,[status(thm)],[])).
% 48.29/30.79 tff(7736,plain,
% 48.29/30.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56))),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7735, 7734])).
% 48.29/30.79 tff(7737,plain,
% 48.29/30.79 (v94(constB56) | (~v95(constB56)) | (~v104(constB56))),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7736, 470, 7705])).
% 48.29/30.79 tff(7738,plain,
% 48.29/30.79 (v94(constB56) | (~v104(constB56))),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7737, 7730])).
% 48.29/30.79 tff(7739,plain,
% 48.29/30.79 (v94(constB56)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7738, 7713])).
% 48.29/30.79 tff(7740,plain,
% 48.29/30.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB55)) | (~v84(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB55)) | (~v84(constB55, bitIndex2)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7741,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB55)) | (~v84(constB55, bitIndex2)))),
% 48.29/30.79 inference(quant_inst,[status(thm)],[])).
% 48.29/30.79 tff(7742,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB55)) | (~v84(constB55, bitIndex2))),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7741, 7740])).
% 48.29/30.79 tff(7743,plain,
% 48.29/30.79 (~v116(constB55)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7742, 1047, 7613])).
% 48.29/30.79 tff(7744,plain,
% 48.29/30.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB55)) | (~v84(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB55)) | (~v84(constB55, bitIndex2)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7745,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB55)) | (~v84(constB55, bitIndex2)))),
% 48.29/30.79 inference(quant_inst,[status(thm)],[])).
% 48.29/30.79 tff(7746,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB55)) | (~v84(constB55, bitIndex2))),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7745, 7744])).
% 48.29/30.79 tff(7747,plain,
% 48.29/30.79 (~v115(constB55)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7746, 1036, 7613])).
% 48.29/30.79 tff(7748,plain,
% 48.29/30.79 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB55)) | (~v84(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB55)) | (~v84(constB55, bitIndex1)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7749,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB55)) | (~v84(constB55, bitIndex1)))),
% 48.29/30.79 inference(quant_inst,[status(thm)],[])).
% 48.29/30.79 tff(7750,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB55)) | (~v84(constB55, bitIndex1))),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7749, 7748])).
% 48.29/30.79 tff(7751,plain,
% 48.29/30.79 (~v172(constB55)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7750, 1080, 7644])).
% 48.29/30.79 tff(7752,plain,
% 48.29/30.79 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB55)) | (~v84(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB55)) | (~v84(constB55, bitIndex1)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7753,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB55)) | (~v84(constB55, bitIndex1)))),
% 48.29/30.79 inference(quant_inst,[status(thm)],[])).
% 48.29/30.79 tff(7754,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB55)) | (~v84(constB55, bitIndex1))),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7753, 7752])).
% 48.29/30.79 tff(7755,plain,
% 48.29/30.79 (~v118(constB55)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7754, 1069, 7644])).
% 48.29/30.79 tff(7756,plain,
% 48.29/30.79 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB55)) | (~v84(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB55)) | (~v84(constB55, bitIndex1)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7757,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB55)) | (~v84(constB55, bitIndex1)))),
% 48.29/30.79 inference(quant_inst,[status(thm)],[])).
% 48.29/30.79 tff(7758,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB55)) | (~v84(constB55, bitIndex1))),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7757, 7756])).
% 48.29/30.79 tff(7759,plain,
% 48.29/30.79 (~v113(constB55)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7758, 1058, 7644])).
% 48.29/30.79 tff(7760,plain,
% 48.29/30.79 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB55)) | (~v84(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB55)) | (~v84(constB55, bitIndex1)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7761,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB55)) | (~v84(constB55, bitIndex1)))),
% 48.29/30.79 inference(quant_inst,[status(thm)],[])).
% 48.29/30.79 tff(7762,plain,
% 48.29/30.79 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB55)) | (~v84(constB55, bitIndex1))),
% 48.29/30.79 inference(modus_ponens,[status(thm)],[7761, 7760])).
% 48.29/30.79 tff(7763,plain,
% 48.29/30.79 (~v145(constB55)),
% 48.29/30.79 inference(unit_resolution,[status(thm)],[7762, 1091, 7644])).
% 48.29/30.79 tff(7764,plain,
% 48.29/30.79 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | (~v124(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | (~v124(constB55, bitIndex2)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7765,plain,
% 48.29/30.79 ((v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex2))) <=> (v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | (~v124(constB55, bitIndex2)))),
% 48.29/30.79 inference(rewrite,[status(thm)],[])).
% 48.29/30.79 tff(7766,plain,
% 48.29/30.79 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | (~v124(constB55, bitIndex2))))),
% 48.29/30.80 inference(monotonicity,[status(thm)],[7765])).
% 48.29/30.80 tff(7767,plain,
% 48.29/30.80 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | (~v124(constB55, bitIndex2)))),
% 48.29/30.80 inference(transitivity,[status(thm)],[7766, 7764])).
% 48.29/30.80 tff(7768,plain,
% 48.29/30.80 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex2)))),
% 48.29/30.80 inference(quant_inst,[status(thm)],[])).
% 48.29/30.80 tff(7769,plain,
% 48.29/30.80 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | (~v124(constB55, bitIndex2))),
% 48.29/30.80 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 48.29/30.80 tff(7770,plain,
% 48.29/30.80 (~v124(constB55, bitIndex2)),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7769, 1170, 7763, 7759, 7755, 7751, 7747, 7743])).
% 48.29/30.80 tff(7771,plain,
% 48.29/30.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB55, bitIndex2)) | v26(constB55) | v124(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB55, bitIndex2)) | v26(constB55) | v124(constB55, bitIndex2))),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7772,plain,
% 48.29/30.80 ((v26(constB55) | v124(constB55, bitIndex2) | (~v121(constB55, bitIndex2))) <=> ((~v121(constB55, bitIndex2)) | v26(constB55) | v124(constB55, bitIndex2))),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7773,plain,
% 48.29/30.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB55) | v124(constB55, bitIndex2) | (~v121(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB55, bitIndex2)) | v26(constB55) | v124(constB55, bitIndex2)))),
% 48.29/30.80 inference(monotonicity,[status(thm)],[7772])).
% 48.29/30.80 tff(7774,plain,
% 48.29/30.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB55) | v124(constB55, bitIndex2) | (~v121(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB55, bitIndex2)) | v26(constB55) | v124(constB55, bitIndex2))),
% 48.29/30.80 inference(transitivity,[status(thm)],[7773, 7771])).
% 48.29/30.80 tff(7775,plain,
% 48.29/30.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB55) | v124(constB55, bitIndex2) | (~v121(constB55, bitIndex2)))),
% 48.29/30.80 inference(quant_inst,[status(thm)],[])).
% 48.29/30.80 tff(7776,plain,
% 48.29/30.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB55, bitIndex2)) | v26(constB55) | v124(constB55, bitIndex2)),
% 48.29/30.80 inference(modus_ponens,[status(thm)],[7775, 7774])).
% 48.29/30.80 tff(7777,plain,
% 48.29/30.80 ((~v121(constB55, bitIndex2)) | v124(constB55, bitIndex2)),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7776, 1187, 7690])).
% 48.29/30.80 tff(7778,plain,
% 48.29/30.80 (~v121(constB55, bitIndex2)),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7777, 7770])).
% 48.29/30.80 tff(7779,plain,
% 48.29/30.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex2) | (~v123(constB56, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex2) | (~v123(constB56, bitIndex2)))),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7780,plain,
% 48.29/30.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex2) | (~v123(constB56, bitIndex2)))),
% 48.29/30.80 inference(quant_inst,[status(thm)],[])).
% 48.29/30.80 tff(7781,plain,
% 48.29/30.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex2) | (~v123(constB56, bitIndex2))),
% 48.29/30.80 inference(modus_ponens,[status(thm)],[7780, 7779])).
% 48.29/30.80 tff(7782,plain,
% 48.29/30.80 (v121(constB55, bitIndex2) | (~v123(constB56, bitIndex2))),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7781, 1205, 7705])).
% 48.29/30.80 tff(7783,plain,
% 48.29/30.80 (~v123(constB56, bitIndex2)),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7782, 7778])).
% 48.29/30.80 tff(7784,plain,
% 48.29/30.80 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB56, bitIndex2)) | v123(constB56, bitIndex2) | (~v94(constB56)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB56, bitIndex2)) | v123(constB56, bitIndex2) | (~v94(constB56)))),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7785,plain,
% 48.29/30.80 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB56, bitIndex2)) | v123(constB56, bitIndex2) | (~v94(constB56)))),
% 48.29/30.80 inference(quant_inst,[status(thm)],[])).
% 48.29/30.80 tff(7786,plain,
% 48.29/30.80 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB56, bitIndex2)) | v123(constB56, bitIndex2) | (~v94(constB56))),
% 48.29/30.80 inference(modus_ponens,[status(thm)],[7785, 7784])).
% 48.29/30.80 tff(7787,plain,
% 48.29/30.80 ((~v84(constB56, bitIndex2)) | (~v94(constB56))),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7786, 1220, 7783])).
% 48.29/30.80 tff(7788,plain,
% 48.29/30.80 (~v84(constB56, bitIndex2)),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7787, 7739])).
% 48.29/30.80 tff(7789,plain,
% 48.29/30.80 ((~v1(constB57)) <=> (~v1(constB57))),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7790,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 48.29/30.80 tff(7791,plain,
% 48.29/30.80 (~v1(constB57)),
% 48.29/30.80 inference(modus_ponens,[status(thm)],[7790, 7789])).
% 48.29/30.80 tff(7792,plain,
% 48.29/30.80 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7793,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 48.29/30.80 tff(7794,plain,
% 48.29/30.80 (nextState(constB56, constB57)),
% 48.29/30.80 inference(modus_ponens,[status(thm)],[7793, 7792])).
% 48.29/30.80 tff(7795,plain,
% 48.29/30.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7796,plain,
% 48.29/30.80 (((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7797,plain,
% 48.29/30.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57))))),
% 48.29/30.80 inference(monotonicity,[status(thm)],[7796])).
% 48.29/30.80 tff(7798,plain,
% 48.29/30.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))),
% 48.29/30.80 inference(transitivity,[status(thm)],[7797, 7795])).
% 48.29/30.80 tff(7799,plain,
% 48.29/30.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57))),
% 48.29/30.80 inference(quant_inst,[status(thm)],[])).
% 48.29/30.80 tff(7800,plain,
% 48.29/30.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57))),
% 48.29/30.80 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 48.29/30.80 tff(7801,plain,
% 48.29/30.80 (~v95(constB57)),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7800, 110, 7794, 7791])).
% 48.29/30.80 tff(7802,plain,
% 48.29/30.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57)))),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7803,plain,
% 48.29/30.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57)))),
% 48.29/30.80 inference(quant_inst,[status(thm)],[])).
% 48.29/30.80 tff(7804,plain,
% 48.29/30.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57))),
% 48.29/30.80 inference(modus_ponens,[status(thm)],[7803, 7802])).
% 48.29/30.80 tff(7805,plain,
% 48.29/30.80 (v95(constB57) | (~v94(constB57))),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7804, 127, 7794])).
% 48.29/30.80 tff(7806,plain,
% 48.29/30.80 (~v94(constB57)),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7805, 7801])).
% 48.29/30.80 tff(7807,plain,
% 48.29/30.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex2)))),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7808,plain,
% 48.29/30.80 (((~nextState(constB56, constB57)) | v84(constB56, bitIndex2) | v94(constB57) | (~v84(constB57, bitIndex2))) <=> (v84(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex2)))),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7809,plain,
% 48.29/30.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex2) | v94(constB57) | (~v84(constB57, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex2))))),
% 48.29/30.80 inference(monotonicity,[status(thm)],[7808])).
% 48.29/30.80 tff(7810,plain,
% 48.29/30.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex2) | v94(constB57) | (~v84(constB57, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex2)))),
% 48.29/30.80 inference(transitivity,[status(thm)],[7809, 7807])).
% 48.29/30.80 tff(7811,plain,
% 48.29/30.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex2) | v94(constB57) | (~v84(constB57, bitIndex2)))),
% 48.29/30.80 inference(quant_inst,[status(thm)],[])).
% 48.29/30.80 tff(7812,plain,
% 48.29/30.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex2))),
% 48.29/30.80 inference(modus_ponens,[status(thm)],[7811, 7810])).
% 48.29/30.80 tff(7813,plain,
% 48.29/30.80 (v84(constB56, bitIndex2) | v94(constB57) | (~v84(constB57, bitIndex2))),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7812, 142, 7794])).
% 48.29/30.80 tff(7814,plain,
% 48.29/30.80 (v84(constB56, bitIndex2) | (~v84(constB57, bitIndex2))),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7813, 7806])).
% 48.29/30.80 tff(7815,plain,
% 48.29/30.80 (~v84(constB57, bitIndex2)),
% 48.29/30.80 inference(unit_resolution,[status(thm)],[7814, 7788])).
% 48.29/30.80 tff(7816,plain,
% 48.29/30.80 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | (~v124(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | (~v124(constB55, bitIndex1)))),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7817,plain,
% 48.29/30.80 ((v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex1))) <=> (v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | (~v124(constB55, bitIndex1)))),
% 48.29/30.80 inference(rewrite,[status(thm)],[])).
% 48.29/30.80 tff(7818,plain,
% 48.29/30.80 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | (~v124(constB55, bitIndex1))))),
% 48.29/30.80 inference(monotonicity,[status(thm)],[7817])).
% 48.29/30.80 tff(7819,plain,
% 48.29/30.80 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | (~v124(constB55, bitIndex1)))),
% 48.29/30.80 inference(transitivity,[status(thm)],[7818, 7816])).
% 48.29/30.80 tff(7820,plain,
% 48.29/30.80 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex1)))),
% 48.29/30.81 inference(quant_inst,[status(thm)],[])).
% 48.29/30.81 tff(7821,plain,
% 48.29/30.81 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | (~v124(constB55, bitIndex1))),
% 48.29/30.81 inference(modus_ponens,[status(thm)],[7820, 7819])).
% 48.29/30.81 tff(7822,plain,
% 48.29/30.81 (~v124(constB55, bitIndex1)),
% 48.29/30.81 inference(unit_resolution,[status(thm)],[7821, 1105, 7763, 7759, 7755, 7751, 7747, 7743])).
% 48.29/30.81 tff(7823,plain,
% 48.29/30.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))),
% 48.29/30.81 inference(rewrite,[status(thm)],[])).
% 48.29/30.81 tff(7824,plain,
% 48.29/30.81 ((v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1))) <=> ((~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))),
% 48.29/30.81 inference(rewrite,[status(thm)],[])).
% 48.29/30.81 tff(7825,plain,
% 48.29/30.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1)))),
% 48.29/30.81 inference(monotonicity,[status(thm)],[7824])).
% 48.29/30.81 tff(7826,plain,
% 48.29/30.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))),
% 48.29/30.81 inference(transitivity,[status(thm)],[7825, 7823])).
% 48.29/30.81 tff(7827,plain,
% 48.29/30.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1)))),
% 48.29/30.81 inference(quant_inst,[status(thm)],[])).
% 48.29/30.81 tff(7828,plain,
% 48.29/30.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1)),
% 48.29/30.81 inference(modus_ponens,[status(thm)],[7827, 7826])).
% 48.29/30.81 tff(7829,plain,
% 48.29/30.81 ((~v121(constB55, bitIndex1)) | v124(constB55, bitIndex1)),
% 48.29/30.81 inference(unit_resolution,[status(thm)],[7828, 233, 7690])).
% 48.29/30.81 tff(7830,plain,
% 48.29/30.81 (~v121(constB55, bitIndex1)),
% 48.29/30.81 inference(unit_resolution,[status(thm)],[7829, 7822])).
% 48.29/30.81 tff(7831,plain,
% 48.29/30.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1)))),
% 48.29/30.81 inference(rewrite,[status(thm)],[])).
% 48.29/30.81 tff(7832,plain,
% 48.29/30.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1)))),
% 48.29/30.81 inference(quant_inst,[status(thm)],[])).
% 48.29/30.81 tff(7833,plain,
% 48.29/30.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1))),
% 48.29/30.81 inference(modus_ponens,[status(thm)],[7832, 7831])).
% 48.29/30.81 tff(7834,plain,
% 48.29/30.81 (v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1))),
% 48.29/30.81 inference(unit_resolution,[status(thm)],[7833, 254, 7705])).
% 48.29/30.81 tff(7835,plain,
% 48.29/30.81 (~v123(constB56, bitIndex1)),
% 48.29/30.81 inference(unit_resolution,[status(thm)],[7834, 7830])).
% 48.29/30.81 tff(7836,plain,
% 48.29/30.81 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))),
% 48.29/30.81 inference(rewrite,[status(thm)],[])).
% 48.29/30.81 tff(7837,plain,
% 48.29/30.81 (((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1)) <=> ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))),
% 48.29/30.81 inference(rewrite,[status(thm)],[])).
% 48.29/30.81 tff(7838,plain,
% 48.29/30.81 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56))))),
% 48.29/30.81 inference(monotonicity,[status(thm)],[7837])).
% 48.29/30.81 tff(7839,plain,
% 48.29/30.81 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))),
% 48.29/30.81 inference(transitivity,[status(thm)],[7838, 7836])).
% 48.29/30.81 tff(7840,plain,
% 48.29/30.81 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1))),
% 48.29/30.81 inference(quant_inst,[status(thm)],[])).
% 48.29/30.81 tff(7841,plain,
% 48.29/30.81 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56))),
% 48.29/30.81 inference(modus_ponens,[status(thm)],[7840, 7839])).
% 48.29/30.81 tff(7842,plain,
% 48.29/30.81 ((~v84(constB56, bitIndex1)) | (~v94(constB56))),
% 48.29/30.81 inference(unit_resolution,[status(thm)],[7841, 532, 7835])).
% 48.29/30.81 tff(7843,plain,
% 48.29/30.81 (~v84(constB56, bitIndex1)),
% 48.29/30.81 inference(unit_resolution,[status(thm)],[7842, 7739])).
% 48.29/30.81 tff(7844,plain,
% 48.29/30.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 48.29/30.81 inference(rewrite,[status(thm)],[])).
% 48.29/30.81 tff(7845,plain,
% 48.29/30.81 (((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1))) <=> (v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 48.29/30.81 inference(rewrite,[status(thm)],[])).
% 48.29/30.81 tff(7846,plain,
% 48.29/30.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1))))),
% 48.29/30.81 inference(monotonicity,[status(thm)],[7845])).
% 48.29/30.81 tff(7847,plain,
% 48.29/30.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 48.29/30.81 inference(transitivity,[status(thm)],[7846, 7844])).
% 48.29/30.81 tff(7848,plain,
% 48.29/30.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 48.29/30.81 inference(quant_inst,[status(thm)],[])).
% 48.29/30.81 tff(7849,plain,
% 48.29/30.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1))),
% 48.29/30.81 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 48.29/30.81 tff(7850,plain,
% 48.29/30.81 (v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1))),
% 48.29/30.81 inference(unit_resolution,[status(thm)],[7849, 163, 7794])).
% 48.29/30.81 tff(7851,plain,
% 48.29/30.81 (v84(constB56, bitIndex1) | (~v84(constB57, bitIndex1))),
% 48.29/30.81 inference(unit_resolution,[status(thm)],[7850, 7806])).
% 48.29/30.81 tff(7852,plain,
% 48.29/30.81 (~v84(constB57, bitIndex1)),
% 48.29/30.81 inference(unit_resolution,[status(thm)],[7851, 7843])).
% 48.29/30.81 tff(7853,plain,
% 48.29/30.81 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | v124(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | v124(constB55, bitIndex0))),
% 48.29/30.81 inference(rewrite,[status(thm)],[])).
% 48.29/30.81 tff(7854,plain,
% 48.29/30.81 ((v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | v124(constB55, bitIndex0)) <=> (v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | v124(constB55, bitIndex0))),
% 48.29/30.81 inference(rewrite,[status(thm)],[])).
% 48.29/30.81 tff(7855,plain,
% 48.29/30.81 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | v124(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | v124(constB55, bitIndex0)))),
% 48.29/30.81 inference(monotonicity,[status(thm)],[7854])).
% 48.29/30.81 tff(7856,plain,
% 48.29/30.81 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | v124(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | v124(constB55, bitIndex0))),
% 48.29/30.81 inference(transitivity,[status(thm)],[7855, 7853])).
% 48.29/30.81 tff(7857,plain,
% 48.29/30.81 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | v124(constB55, bitIndex0))),
% 48.29/30.82 inference(quant_inst,[status(thm)],[])).
% 48.29/30.82 tff(7858,plain,
% 48.29/30.82 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB55) | v115(constB55) | v145(constB55) | v116(constB55) | v118(constB55) | v113(constB55) | v124(constB55, bitIndex0)),
% 48.29/30.82 inference(modus_ponens,[status(thm)],[7857, 7856])).
% 48.29/30.82 tff(7859,plain,
% 48.29/30.82 (v124(constB55, bitIndex0)),
% 48.29/30.82 inference(unit_resolution,[status(thm)],[7858, 1374, 7763, 7759, 7755, 7751, 7747, 7743])).
% 48.29/30.82 tff(7860,plain,
% 48.29/30.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB55) | (~v124(constB55, bitIndex0)) | v121(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB55) | (~v124(constB55, bitIndex0)) | v121(constB55, bitIndex0))),
% 48.29/30.82 inference(rewrite,[status(thm)],[])).
% 48.29/30.82 tff(7861,plain,
% 48.29/30.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB55) | (~v124(constB55, bitIndex0)) | v121(constB55, bitIndex0))),
% 48.29/30.82 inference(quant_inst,[status(thm)],[])).
% 48.29/30.82 tff(7862,plain,
% 48.29/30.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB55) | (~v124(constB55, bitIndex0)) | v121(constB55, bitIndex0)),
% 48.29/30.82 inference(modus_ponens,[status(thm)],[7861, 7860])).
% 48.29/30.82 tff(7863,plain,
% 48.29/30.82 ((~v124(constB55, bitIndex0)) | v121(constB55, bitIndex0)),
% 48.29/30.82 inference(unit_resolution,[status(thm)],[7862, 1391, 7690])).
% 48.29/30.82 tff(7864,plain,
% 48.29/30.82 (v121(constB55, bitIndex0)),
% 48.29/30.82 inference(unit_resolution,[status(thm)],[7863, 7859])).
% 48.29/30.82 tff(7865,plain,
% 48.29/30.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v121(constB55, bitIndex0)) | v123(constB56, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB55, constB56)) | (~v121(constB55, bitIndex0)) | v123(constB56, bitIndex0))),
% 48.29/30.82 inference(rewrite,[status(thm)],[])).
% 48.29/30.82 tff(7866,plain,
% 48.29/30.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v121(constB55, bitIndex0)) | v123(constB56, bitIndex0))),
% 48.29/30.82 inference(quant_inst,[status(thm)],[])).
% 48.29/30.82 tff(7867,plain,
% 48.29/30.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB55, constB56)) | (~v121(constB55, bitIndex0)) | v123(constB56, bitIndex0)),
% 48.29/30.82 inference(modus_ponens,[status(thm)],[7866, 7865])).
% 48.29/30.82 tff(7868,plain,
% 48.29/30.82 ((~v121(constB55, bitIndex0)) | v123(constB56, bitIndex0)),
% 48.29/30.82 inference(unit_resolution,[status(thm)],[7867, 1406, 7705])).
% 48.29/30.82 tff(7869,plain,
% 48.29/30.82 (v123(constB56, bitIndex0)),
% 48.29/30.82 inference(unit_resolution,[status(thm)],[7868, 7864])).
% 48.29/30.82 tff(7870,plain,
% 48.29/30.82 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~v123(constB56, bitIndex0)) | (~v94(constB56)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB56, bitIndex0) | (~v123(constB56, bitIndex0)) | (~v94(constB56)))),
% 48.29/30.82 inference(rewrite,[status(thm)],[])).
% 48.29/30.82 tff(7871,plain,
% 48.29/30.82 ((v84(constB56, bitIndex0) | (~v94(constB56)) | (~v123(constB56, bitIndex0))) <=> (v84(constB56, bitIndex0) | (~v123(constB56, bitIndex0)) | (~v94(constB56)))),
% 48.29/30.82 inference(rewrite,[status(thm)],[])).
% 48.29/30.82 tff(7872,plain,
% 48.29/30.82 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~v94(constB56)) | (~v123(constB56, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~v123(constB56, bitIndex0)) | (~v94(constB56))))),
% 48.37/30.82 inference(monotonicity,[status(thm)],[7871])).
% 48.37/30.82 tff(7873,plain,
% 48.37/30.82 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~v94(constB56)) | (~v123(constB56, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB56, bitIndex0) | (~v123(constB56, bitIndex0)) | (~v94(constB56)))),
% 48.37/30.82 inference(transitivity,[status(thm)],[7872, 7870])).
% 48.37/30.82 tff(7874,plain,
% 48.37/30.82 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~v94(constB56)) | (~v123(constB56, bitIndex0)))),
% 48.37/30.82 inference(quant_inst,[status(thm)],[])).
% 48.37/30.82 tff(7875,plain,
% 48.37/30.82 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB56, bitIndex0) | (~v123(constB56, bitIndex0)) | (~v94(constB56))),
% 48.37/30.82 inference(modus_ponens,[status(thm)],[7874, 7873])).
% 48.37/30.82 tff(7876,plain,
% 48.37/30.82 (v84(constB56, bitIndex0) | (~v94(constB56))),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7875, 1421, 7869])).
% 48.37/30.82 tff(7877,plain,
% 48.37/30.82 (v84(constB56, bitIndex0)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7876, 7739])).
% 48.37/30.82 tff(7878,plain,
% 48.37/30.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex0))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7879,plain,
% 48.37/30.82 (((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex0)) | v94(constB57) | v84(constB57, bitIndex0)) <=> ((~v84(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex0))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7880,plain,
% 48.37/30.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex0)) | v94(constB57) | v84(constB57, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex0)))),
% 48.37/30.82 inference(monotonicity,[status(thm)],[7879])).
% 48.37/30.82 tff(7881,plain,
% 48.37/30.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex0)) | v94(constB57) | v84(constB57, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex0))),
% 48.37/30.82 inference(transitivity,[status(thm)],[7880, 7878])).
% 48.37/30.82 tff(7882,plain,
% 48.37/30.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex0)) | v94(constB57) | v84(constB57, bitIndex0))),
% 48.37/30.82 inference(quant_inst,[status(thm)],[])).
% 48.37/30.82 tff(7883,plain,
% 48.37/30.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex0)),
% 48.37/30.82 inference(modus_ponens,[status(thm)],[7882, 7881])).
% 48.37/30.82 tff(7884,plain,
% 48.37/30.82 ((~v84(constB56, bitIndex0)) | v94(constB57) | v84(constB57, bitIndex0)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7883, 1439, 7794])).
% 48.37/30.82 tff(7885,plain,
% 48.37/30.82 ((~v84(constB56, bitIndex0)) | v84(constB57, bitIndex0)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7884, 7806])).
% 48.37/30.82 tff(7886,plain,
% 48.37/30.82 (v84(constB57, bitIndex0)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7885, 7877])).
% 48.37/30.82 tff(7887,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB57, bitIndex0)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex2) | v145(constB57))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB57, bitIndex0)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex2) | v145(constB57))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7888,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB57, bitIndex0)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex2) | v145(constB57))),
% 48.37/30.82 inference(quant_inst,[status(thm)],[])).
% 48.37/30.82 tff(7889,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB57, bitIndex0)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex2) | v145(constB57)),
% 48.37/30.82 inference(modus_ponens,[status(thm)],[7888, 7887])).
% 48.37/30.82 tff(7890,plain,
% 48.37/30.82 (v145(constB57)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7889, 1268, 7886, 7852, 7815])).
% 48.37/30.82 tff(7891,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB57) | (~v145(constB57)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB57) | (~v145(constB57)))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7892,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB57) | (~v145(constB57)))),
% 48.37/30.82 inference(quant_inst,[status(thm)],[])).
% 48.37/30.82 tff(7893,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB57) | (~v145(constB57))),
% 48.37/30.82 inference(modus_ponens,[status(thm)],[7892, 7891])).
% 48.37/30.82 tff(7894,plain,
% 48.37/30.82 (v112(constB57)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7893, 1253, 7890])).
% 48.37/30.82 tff(7895,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB57) | (~v112(constB57)))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7896,plain,
% 48.37/30.82 (((~v112(constB57)) | v111(constB57)) <=> (v111(constB57) | (~v112(constB57)))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7897,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB57)) | v111(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB57) | (~v112(constB57))))),
% 48.37/30.82 inference(monotonicity,[status(thm)],[7896])).
% 48.37/30.82 tff(7898,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB57)) | v111(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB57) | (~v112(constB57)))),
% 48.37/30.82 inference(transitivity,[status(thm)],[7897, 7895])).
% 48.37/30.82 tff(7899,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB57)) | v111(constB57))),
% 48.37/30.82 inference(quant_inst,[status(thm)],[])).
% 48.37/30.82 tff(7900,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB57) | (~v112(constB57))),
% 48.37/30.82 inference(modus_ponens,[status(thm)],[7899, 7898])).
% 48.37/30.82 tff(7901,plain,
% 48.37/30.82 (v111(constB57)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7900, 278, 7894])).
% 48.37/30.82 tff(7902,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB57) | (~v111(constB57)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB57) | (~v111(constB57)))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7903,plain,
% 48.37/30.82 (((~v111(constB57)) | v110(constB57)) <=> (v110(constB57) | (~v111(constB57)))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7904,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB57)) | v110(constB57))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB57) | (~v111(constB57))))),
% 48.37/30.82 inference(monotonicity,[status(thm)],[7903])).
% 48.37/30.82 tff(7905,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB57)) | v110(constB57))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB57) | (~v111(constB57)))),
% 48.37/30.82 inference(transitivity,[status(thm)],[7904, 7902])).
% 48.37/30.82 tff(7906,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB57)) | v110(constB57))),
% 48.37/30.82 inference(quant_inst,[status(thm)],[])).
% 48.37/30.82 tff(7907,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB57) | (~v111(constB57))),
% 48.37/30.82 inference(modus_ponens,[status(thm)],[7906, 7905])).
% 48.37/30.82 tff(7908,plain,
% 48.37/30.82 (v110(constB57)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7907, 292, 7901])).
% 48.37/30.82 tff(7909,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB57)) | v109(constB57))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB57)) | v109(constB57))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7910,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB57)) | v109(constB57))),
% 48.37/30.82 inference(quant_inst,[status(thm)],[])).
% 48.37/30.82 tff(7911,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB57)) | v109(constB57)),
% 48.37/30.82 inference(modus_ponens,[status(thm)],[7910, 7909])).
% 48.37/30.82 tff(7912,plain,
% 48.37/30.82 (v109(constB57)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7911, 306, 7908])).
% 48.37/30.82 tff(7913,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v109(constB57)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v109(constB57)))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7914,plain,
% 48.37/30.82 (((~v109(constB57)) | v108(constB57)) <=> (v108(constB57) | (~v109(constB57)))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7915,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v109(constB57))))),
% 48.37/30.82 inference(monotonicity,[status(thm)],[7914])).
% 48.37/30.82 tff(7916,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v109(constB57)))),
% 48.37/30.82 inference(transitivity,[status(thm)],[7915, 7913])).
% 48.37/30.82 tff(7917,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB57)) | v108(constB57))),
% 48.37/30.82 inference(quant_inst,[status(thm)],[])).
% 48.37/30.82 tff(7918,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v109(constB57))),
% 48.37/30.82 inference(modus_ponens,[status(thm)],[7917, 7916])).
% 48.37/30.82 tff(7919,plain,
% 48.37/30.82 (v108(constB57)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7918, 320, 7912])).
% 48.37/30.82 tff(7920,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB57) | (~v108(constB57)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB57) | (~v108(constB57)))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7921,plain,
% 48.37/30.82 (((~v108(constB57)) | v107(constB57)) <=> (v107(constB57) | (~v108(constB57)))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7922,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB57)) | v107(constB57))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB57) | (~v108(constB57))))),
% 48.37/30.82 inference(monotonicity,[status(thm)],[7921])).
% 48.37/30.82 tff(7923,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB57)) | v107(constB57))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB57) | (~v108(constB57)))),
% 48.37/30.82 inference(transitivity,[status(thm)],[7922, 7920])).
% 48.37/30.82 tff(7924,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB57)) | v107(constB57))),
% 48.37/30.82 inference(quant_inst,[status(thm)],[])).
% 48.37/30.82 tff(7925,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB57) | (~v108(constB57))),
% 48.37/30.82 inference(modus_ponens,[status(thm)],[7924, 7923])).
% 48.37/30.82 tff(7926,plain,
% 48.37/30.82 (v107(constB57)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7925, 334, 7919])).
% 48.37/30.82 tff(7927,assumption,(v26(constB57)), introduced(assumption)).
% 48.37/30.82 tff(7928,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 48.37/30.82 inference(quant_inst,[status(thm)],[])).
% 48.37/30.82 tff(7929,plain,
% 48.37/30.82 ($false),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7928, 55, 7927])).
% 48.37/30.82 tff(7930,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 48.37/30.82 tff(7931,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | (~v107(constB57)) | v106(constB57))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB57) | (~v107(constB57)) | v106(constB57))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7932,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | (~v107(constB57)) | v106(constB57))),
% 48.37/30.82 inference(quant_inst,[status(thm)],[])).
% 48.37/30.82 tff(7933,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB57) | (~v107(constB57)) | v106(constB57)),
% 48.37/30.82 inference(modus_ponens,[status(thm)],[7932, 7931])).
% 48.37/30.82 tff(7934,plain,
% 48.37/30.82 ((~v107(constB57)) | v106(constB57)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7933, 348, 7930])).
% 48.37/30.82 tff(7935,plain,
% 48.37/30.82 (v106(constB57)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7934, 7926])).
% 48.37/30.82 tff(7936,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB57) | (~v106(constB57)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB57) | (~v106(constB57)))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7937,plain,
% 48.37/30.82 (((~v106(constB57)) | v102(constB57)) <=> (v102(constB57) | (~v106(constB57)))),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7938,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB57)) | v102(constB57))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB57) | (~v106(constB57))))),
% 48.37/30.82 inference(monotonicity,[status(thm)],[7937])).
% 48.37/30.82 tff(7939,plain,
% 48.37/30.82 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB57)) | v102(constB57))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB57) | (~v106(constB57)))),
% 48.37/30.82 inference(transitivity,[status(thm)],[7938, 7936])).
% 48.37/30.82 tff(7940,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB57)) | v102(constB57))),
% 48.37/30.82 inference(quant_inst,[status(thm)],[])).
% 48.37/30.82 tff(7941,plain,
% 48.37/30.82 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB57) | (~v106(constB57))),
% 48.37/30.82 inference(modus_ponens,[status(thm)],[7940, 7939])).
% 48.37/30.82 tff(7942,plain,
% 48.37/30.82 (v102(constB57)),
% 48.37/30.82 inference(unit_resolution,[status(thm)],[7941, 504, 7935])).
% 48.37/30.82 tff(7943,plain,
% 48.37/30.82 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 48.37/30.82 inference(rewrite,[status(thm)],[])).
% 48.37/30.82 tff(7944,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 48.37/30.82 tff(7945,plain,
% 48.37/30.82 (nextState(constB57, constB58)),
% 48.37/30.82 inference(modus_ponens,[status(thm)],[7944, 7943])).
% 48.37/30.82 tff(7946,plain,
% 48.37/30.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7947,plain,
% 48.37/30.83 (((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58)) <=> ((~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7948,plain,
% 48.37/30.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57))))),
% 48.37/30.83 inference(monotonicity,[status(thm)],[7947])).
% 48.37/30.83 tff(7949,plain,
% 48.37/30.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))),
% 48.37/30.83 inference(transitivity,[status(thm)],[7948, 7946])).
% 48.37/30.83 tff(7950,plain,
% 48.37/30.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58))),
% 48.37/30.83 inference(quant_inst,[status(thm)],[])).
% 48.37/30.83 tff(7951,plain,
% 48.37/30.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57))),
% 48.37/30.83 inference(modus_ponens,[status(thm)],[7950, 7949])).
% 48.37/30.83 tff(7952,plain,
% 48.37/30.83 (v104(constB58) | (~v102(constB57))),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7951, 489, 7945])).
% 48.37/30.83 tff(7953,plain,
% 48.37/30.83 (v104(constB58)),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7952, 7942])).
% 48.37/30.83 tff(7954,plain,
% 48.37/30.83 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58)))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7955,plain,
% 48.37/30.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58)))),
% 48.37/30.83 inference(quant_inst,[status(thm)],[])).
% 48.37/30.83 tff(7956,plain,
% 48.37/30.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58))),
% 48.37/30.83 inference(modus_ponens,[status(thm)],[7955, 7954])).
% 48.37/30.83 tff(7957,plain,
% 48.37/30.83 (~v98(constB58)),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7956, 423, 7945, 7791])).
% 48.37/30.83 tff(7958,plain,
% 48.37/30.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB57, constB58)) | v96(constB58) | v98(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB57, constB58)) | v96(constB58) | v98(constB58))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7959,plain,
% 48.37/30.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB57, constB58)) | v96(constB58) | v98(constB58))),
% 48.37/30.83 inference(quant_inst,[status(thm)],[])).
% 48.37/30.83 tff(7960,plain,
% 48.37/30.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB57, constB58)) | v96(constB58) | v98(constB58)),
% 48.37/30.83 inference(modus_ponens,[status(thm)],[7959, 7958])).
% 48.37/30.83 tff(7961,plain,
% 48.37/30.83 (v96(constB58) | v98(constB58)),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7960, 437, 7945])).
% 48.37/30.83 tff(7962,plain,
% 48.37/30.83 (v96(constB58)),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7961, 7957])).
% 48.37/30.83 tff(7963,plain,
% 48.37/30.83 (v1(constB58) <=> v1(constB58)),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7964,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 48.37/30.83 tff(7965,plain,
% 48.37/30.83 (v1(constB58)),
% 48.37/30.83 inference(modus_ponens,[status(thm)],[7964, 7963])).
% 48.37/30.83 tff(7966,plain,
% 48.37/30.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58)))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7967,plain,
% 48.37/30.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58)))),
% 48.37/30.83 inference(quant_inst,[status(thm)],[])).
% 48.37/30.83 tff(7968,plain,
% 48.37/30.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58))),
% 48.37/30.83 inference(modus_ponens,[status(thm)],[7967, 7966])).
% 48.37/30.83 tff(7969,plain,
% 48.37/30.83 (v95(constB58) | (~v96(constB58))),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7968, 455, 7945, 7965])).
% 48.37/30.83 tff(7970,plain,
% 48.37/30.83 (v95(constB58)),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7969, 7962])).
% 48.37/30.83 tff(7971,plain,
% 48.37/30.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7972,plain,
% 48.37/30.83 (((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58)) <=> ((~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7973,plain,
% 48.37/30.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58))))),
% 48.37/30.83 inference(monotonicity,[status(thm)],[7972])).
% 48.37/30.83 tff(7974,plain,
% 48.37/30.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))),
% 48.37/30.83 inference(transitivity,[status(thm)],[7973, 7971])).
% 48.37/30.83 tff(7975,plain,
% 48.37/30.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58))),
% 48.37/30.83 inference(quant_inst,[status(thm)],[])).
% 48.37/30.83 tff(7976,plain,
% 48.37/30.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58))),
% 48.37/30.83 inference(modus_ponens,[status(thm)],[7975, 7974])).
% 48.37/30.83 tff(7977,plain,
% 48.37/30.83 (v94(constB58) | (~v95(constB58)) | (~v104(constB58))),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7976, 470, 7945])).
% 48.37/30.83 tff(7978,plain,
% 48.37/30.83 (v94(constB58) | (~v104(constB58))),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7977, 7970])).
% 48.37/30.83 tff(7979,plain,
% 48.37/30.83 (v94(constB58)),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7978, 7953])).
% 48.37/30.83 tff(7980,plain,
% 48.37/30.83 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB57)) | (~v124(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB57)) | (~v124(constB57, bitIndex2)))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7981,plain,
% 48.37/30.83 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB57)) | (~v124(constB57, bitIndex2)))),
% 48.37/30.83 inference(quant_inst,[status(thm)],[])).
% 48.37/30.83 tff(7982,plain,
% 48.37/30.83 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB57)) | (~v124(constB57, bitIndex2))),
% 48.37/30.83 inference(modus_ponens,[status(thm)],[7981, 7980])).
% 48.37/30.83 tff(7983,plain,
% 48.37/30.83 (~v124(constB57, bitIndex2)),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7982, 1456, 7890])).
% 48.37/30.83 tff(7984,plain,
% 48.37/30.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB57, bitIndex2)) | v26(constB57) | v124(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB57, bitIndex2)) | v26(constB57) | v124(constB57, bitIndex2))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7985,plain,
% 48.37/30.83 ((v26(constB57) | v124(constB57, bitIndex2) | (~v121(constB57, bitIndex2))) <=> ((~v121(constB57, bitIndex2)) | v26(constB57) | v124(constB57, bitIndex2))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7986,plain,
% 48.37/30.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB57) | v124(constB57, bitIndex2) | (~v121(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB57, bitIndex2)) | v26(constB57) | v124(constB57, bitIndex2)))),
% 48.37/30.83 inference(monotonicity,[status(thm)],[7985])).
% 48.37/30.83 tff(7987,plain,
% 48.37/30.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB57) | v124(constB57, bitIndex2) | (~v121(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB57, bitIndex2)) | v26(constB57) | v124(constB57, bitIndex2))),
% 48.37/30.83 inference(transitivity,[status(thm)],[7986, 7984])).
% 48.37/30.83 tff(7988,plain,
% 48.37/30.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB57) | v124(constB57, bitIndex2) | (~v121(constB57, bitIndex2)))),
% 48.37/30.83 inference(quant_inst,[status(thm)],[])).
% 48.37/30.83 tff(7989,plain,
% 48.37/30.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB57, bitIndex2)) | v26(constB57) | v124(constB57, bitIndex2)),
% 48.37/30.83 inference(modus_ponens,[status(thm)],[7988, 7987])).
% 48.37/30.83 tff(7990,plain,
% 48.37/30.83 ((~v121(constB57, bitIndex2)) | v124(constB57, bitIndex2)),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7989, 1187, 7930])).
% 48.37/30.83 tff(7991,plain,
% 48.37/30.83 (~v121(constB57, bitIndex2)),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7990, 7983])).
% 48.37/30.83 tff(7992,plain,
% 48.37/30.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v121(constB57, bitIndex2) | (~v123(constB58, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v121(constB57, bitIndex2) | (~v123(constB58, bitIndex2)))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7993,plain,
% 48.37/30.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v121(constB57, bitIndex2) | (~v123(constB58, bitIndex2)))),
% 48.37/30.83 inference(quant_inst,[status(thm)],[])).
% 48.37/30.83 tff(7994,plain,
% 48.37/30.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v121(constB57, bitIndex2) | (~v123(constB58, bitIndex2))),
% 48.37/30.83 inference(modus_ponens,[status(thm)],[7993, 7992])).
% 48.37/30.83 tff(7995,plain,
% 48.37/30.83 (v121(constB57, bitIndex2) | (~v123(constB58, bitIndex2))),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7994, 1205, 7945])).
% 48.37/30.83 tff(7996,plain,
% 48.37/30.83 (~v123(constB58, bitIndex2)),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7995, 7991])).
% 48.37/30.83 tff(7997,plain,
% 48.37/30.83 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB58, bitIndex2)) | v123(constB58, bitIndex2) | (~v94(constB58)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB58, bitIndex2)) | v123(constB58, bitIndex2) | (~v94(constB58)))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(7998,plain,
% 48.37/30.83 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB58, bitIndex2)) | v123(constB58, bitIndex2) | (~v94(constB58)))),
% 48.37/30.83 inference(quant_inst,[status(thm)],[])).
% 48.37/30.83 tff(7999,plain,
% 48.37/30.83 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB58, bitIndex2)) | v123(constB58, bitIndex2) | (~v94(constB58))),
% 48.37/30.83 inference(modus_ponens,[status(thm)],[7998, 7997])).
% 48.37/30.83 tff(8000,plain,
% 48.37/30.83 ((~v84(constB58, bitIndex2)) | (~v94(constB58))),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[7999, 1220, 7996])).
% 48.37/30.83 tff(8001,plain,
% 48.37/30.83 (~v84(constB58, bitIndex2)),
% 48.37/30.83 inference(unit_resolution,[status(thm)],[8000, 7979])).
% 48.37/30.83 tff(8002,plain,
% 48.37/30.83 ((~v1(constB59)) <=> (~v1(constB59))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(8003,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 48.37/30.83 tff(8004,plain,
% 48.37/30.83 (~v1(constB59)),
% 48.37/30.83 inference(modus_ponens,[status(thm)],[8003, 8002])).
% 48.37/30.83 tff(8005,plain,
% 48.37/30.83 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(8006,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 48.37/30.83 tff(8007,plain,
% 48.37/30.83 (nextState(constB58, constB59)),
% 48.37/30.83 inference(modus_ponens,[status(thm)],[8006, 8005])).
% 48.37/30.83 tff(8008,plain,
% 48.37/30.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(8009,plain,
% 48.37/30.83 (((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))),
% 48.37/30.83 inference(rewrite,[status(thm)],[])).
% 48.37/30.83 tff(8010,plain,
% 48.37/30.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59))))),
% 48.37/30.84 inference(monotonicity,[status(thm)],[8009])).
% 48.37/30.84 tff(8011,plain,
% 48.37/30.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))),
% 48.37/30.84 inference(transitivity,[status(thm)],[8010, 8008])).
% 48.37/30.84 tff(8012,plain,
% 48.37/30.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59))),
% 48.37/30.84 inference(quant_inst,[status(thm)],[])).
% 48.37/30.84 tff(8013,plain,
% 48.37/30.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59))),
% 48.37/30.84 inference(modus_ponens,[status(thm)],[8012, 8011])).
% 48.37/30.84 tff(8014,plain,
% 48.37/30.84 (~v95(constB59)),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8013, 110, 8007, 8004])).
% 48.37/30.84 tff(8015,plain,
% 48.37/30.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59)))),
% 48.37/30.84 inference(rewrite,[status(thm)],[])).
% 48.37/30.84 tff(8016,plain,
% 48.37/30.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59)))),
% 48.37/30.84 inference(quant_inst,[status(thm)],[])).
% 48.37/30.84 tff(8017,plain,
% 48.37/30.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59))),
% 48.37/30.84 inference(modus_ponens,[status(thm)],[8016, 8015])).
% 48.37/30.84 tff(8018,plain,
% 48.37/30.84 (v95(constB59) | (~v94(constB59))),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8017, 127, 8007])).
% 48.37/30.84 tff(8019,plain,
% 48.37/30.84 (~v94(constB59)),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8018, 8014])).
% 48.37/30.84 tff(8020,plain,
% 48.37/30.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex2)))),
% 48.37/30.84 inference(rewrite,[status(thm)],[])).
% 48.37/30.84 tff(8021,plain,
% 48.37/30.84 (((~nextState(constB58, constB59)) | v84(constB58, bitIndex2) | v94(constB59) | (~v84(constB59, bitIndex2))) <=> (v84(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex2)))),
% 48.37/30.84 inference(rewrite,[status(thm)],[])).
% 48.37/30.84 tff(8022,plain,
% 48.37/30.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex2) | v94(constB59) | (~v84(constB59, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex2))))),
% 48.37/30.84 inference(monotonicity,[status(thm)],[8021])).
% 48.37/30.84 tff(8023,plain,
% 48.37/30.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex2) | v94(constB59) | (~v84(constB59, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex2)))),
% 48.37/30.84 inference(transitivity,[status(thm)],[8022, 8020])).
% 48.37/30.84 tff(8024,plain,
% 48.37/30.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex2) | v94(constB59) | (~v84(constB59, bitIndex2)))),
% 48.37/30.84 inference(quant_inst,[status(thm)],[])).
% 48.37/30.84 tff(8025,plain,
% 48.37/30.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex2))),
% 48.37/30.84 inference(modus_ponens,[status(thm)],[8024, 8023])).
% 48.37/30.84 tff(8026,plain,
% 48.37/30.84 (v84(constB58, bitIndex2) | v94(constB59) | (~v84(constB59, bitIndex2))),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8025, 142, 8007])).
% 48.37/30.84 tff(8027,plain,
% 48.37/30.84 (v84(constB58, bitIndex2) | (~v84(constB59, bitIndex2))),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8026, 8019])).
% 48.37/30.84 tff(8028,plain,
% 48.37/30.84 (~v84(constB59, bitIndex2)),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8027, 8001])).
% 48.37/30.84 tff(8029,plain,
% 48.37/30.84 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB57)) | v124(constB57, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB57)) | v124(constB57, bitIndex1))),
% 48.37/30.84 inference(rewrite,[status(thm)],[])).
% 48.37/30.84 tff(8030,plain,
% 48.37/30.84 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB57)) | v124(constB57, bitIndex1))),
% 48.37/30.84 inference(quant_inst,[status(thm)],[])).
% 48.37/30.84 tff(8031,plain,
% 48.37/30.84 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB57)) | v124(constB57, bitIndex1)),
% 48.37/30.84 inference(modus_ponens,[status(thm)],[8030, 8029])).
% 48.37/30.84 tff(8032,plain,
% 48.37/30.84 (v124(constB57, bitIndex1)),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8031, 1512, 7890])).
% 48.37/30.84 tff(8033,plain,
% 48.37/30.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB57) | (~v124(constB57, bitIndex1)) | v121(constB57, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB57) | (~v124(constB57, bitIndex1)) | v121(constB57, bitIndex1))),
% 48.37/30.84 inference(rewrite,[status(thm)],[])).
% 48.37/30.84 tff(8034,plain,
% 48.37/30.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB57) | (~v124(constB57, bitIndex1)) | v121(constB57, bitIndex1))),
% 48.37/30.84 inference(quant_inst,[status(thm)],[])).
% 48.37/30.84 tff(8035,plain,
% 48.37/30.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB57) | (~v124(constB57, bitIndex1)) | v121(constB57, bitIndex1)),
% 48.37/30.84 inference(modus_ponens,[status(thm)],[8034, 8033])).
% 48.37/30.84 tff(8036,plain,
% 48.37/30.84 ((~v124(constB57, bitIndex1)) | v121(constB57, bitIndex1)),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8035, 857, 7930])).
% 48.37/30.84 tff(8037,plain,
% 48.37/30.84 (v121(constB57, bitIndex1)),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8036, 8032])).
% 48.37/30.84 tff(8038,plain,
% 48.37/30.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v121(constB57, bitIndex1)) | v123(constB58, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v121(constB57, bitIndex1)) | v123(constB58, bitIndex1))),
% 48.37/30.84 inference(rewrite,[status(thm)],[])).
% 48.37/30.84 tff(8039,plain,
% 48.37/30.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v121(constB57, bitIndex1)) | v123(constB58, bitIndex1))),
% 48.37/30.84 inference(quant_inst,[status(thm)],[])).
% 48.37/30.84 tff(8040,plain,
% 48.37/30.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v121(constB57, bitIndex1)) | v123(constB58, bitIndex1)),
% 48.37/30.84 inference(modus_ponens,[status(thm)],[8039, 8038])).
% 48.37/30.84 tff(8041,plain,
% 48.37/30.84 ((~v121(constB57, bitIndex1)) | v123(constB58, bitIndex1)),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8040, 872, 7945])).
% 48.37/30.84 tff(8042,plain,
% 48.37/30.84 (v123(constB58, bitIndex1)),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8041, 8037])).
% 48.37/30.84 tff(8043,plain,
% 48.37/30.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~v123(constB58, bitIndex1)) | (~v94(constB58)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB58, bitIndex1) | (~v123(constB58, bitIndex1)) | (~v94(constB58)))),
% 48.37/30.84 inference(rewrite,[status(thm)],[])).
% 48.37/30.84 tff(8044,plain,
% 48.37/30.84 ((v84(constB58, bitIndex1) | (~v94(constB58)) | (~v123(constB58, bitIndex1))) <=> (v84(constB58, bitIndex1) | (~v123(constB58, bitIndex1)) | (~v94(constB58)))),
% 48.37/30.84 inference(rewrite,[status(thm)],[])).
% 48.37/30.84 tff(8045,plain,
% 48.37/30.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~v94(constB58)) | (~v123(constB58, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~v123(constB58, bitIndex1)) | (~v94(constB58))))),
% 48.37/30.84 inference(monotonicity,[status(thm)],[8044])).
% 48.37/30.84 tff(8046,plain,
% 48.37/30.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~v94(constB58)) | (~v123(constB58, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB58, bitIndex1) | (~v123(constB58, bitIndex1)) | (~v94(constB58)))),
% 48.37/30.84 inference(transitivity,[status(thm)],[8045, 8043])).
% 48.37/30.84 tff(8047,plain,
% 48.37/30.84 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~v94(constB58)) | (~v123(constB58, bitIndex1)))),
% 48.37/30.84 inference(quant_inst,[status(thm)],[])).
% 48.37/30.84 tff(8048,plain,
% 48.37/30.84 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB58, bitIndex1) | (~v123(constB58, bitIndex1)) | (~v94(constB58))),
% 48.37/30.84 inference(modus_ponens,[status(thm)],[8047, 8046])).
% 48.37/30.84 tff(8049,plain,
% 48.37/30.84 (v84(constB58, bitIndex1) | (~v94(constB58))),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8048, 887, 8042])).
% 48.37/30.84 tff(8050,plain,
% 48.37/30.84 (v84(constB58, bitIndex1)),
% 48.37/30.84 inference(unit_resolution,[status(thm)],[8049, 7979])).
% 48.37/30.84 tff(8051,plain,
% 48.37/30.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex1))),
% 48.37/30.84 inference(rewrite,[status(thm)],[])).
% 48.37/30.84 tff(8052,plain,
% 48.37/30.84 (((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex1)) | v94(constB59) | v84(constB59, bitIndex1)) <=> ((~v84(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex1))),
% 48.37/30.84 inference(rewrite,[status(thm)],[])).
% 48.37/30.84 tff(8053,plain,
% 48.37/30.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex1)) | v94(constB59) | v84(constB59, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex1)))),
% 48.37/30.85 inference(monotonicity,[status(thm)],[8052])).
% 48.37/30.85 tff(8054,plain,
% 48.37/30.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex1)) | v94(constB59) | v84(constB59, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex1))),
% 48.37/30.85 inference(transitivity,[status(thm)],[8053, 8051])).
% 48.37/30.85 tff(8055,plain,
% 48.37/30.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex1)) | v94(constB59) | v84(constB59, bitIndex1))),
% 48.37/30.85 inference(quant_inst,[status(thm)],[])).
% 48.37/30.85 tff(8056,plain,
% 48.37/30.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex1)),
% 48.37/30.85 inference(modus_ponens,[status(thm)],[8055, 8054])).
% 48.37/30.85 tff(8057,plain,
% 48.37/30.85 ((~v84(constB58, bitIndex1)) | v94(constB59) | v84(constB59, bitIndex1)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8056, 905, 8007])).
% 48.37/30.85 tff(8058,plain,
% 48.37/30.85 ((~v84(constB58, bitIndex1)) | v84(constB59, bitIndex1)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8057, 8019])).
% 48.37/30.85 tff(8059,plain,
% 48.37/30.85 (v84(constB59, bitIndex1)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8058, 8050])).
% 48.37/30.85 tff(8060,plain,
% 48.37/30.85 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB57)) | (~v124(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB57)) | (~v124(constB57, bitIndex0)))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8061,plain,
% 48.37/30.85 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB57)) | (~v124(constB57, bitIndex0)))),
% 48.37/30.85 inference(quant_inst,[status(thm)],[])).
% 48.37/30.85 tff(8062,plain,
% 48.37/30.85 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB57)) | (~v124(constB57, bitIndex0))),
% 48.37/30.85 inference(modus_ponens,[status(thm)],[8061, 8060])).
% 48.37/30.85 tff(8063,plain,
% 48.37/30.85 (~v124(constB57, bitIndex0)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8062, 1550, 7890])).
% 48.37/30.85 tff(8064,plain,
% 48.37/30.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB57, bitIndex0)) | v26(constB57) | v124(constB57, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB57, bitIndex0)) | v26(constB57) | v124(constB57, bitIndex0))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8065,plain,
% 48.37/30.85 ((v26(constB57) | v124(constB57, bitIndex0) | (~v121(constB57, bitIndex0))) <=> ((~v121(constB57, bitIndex0)) | v26(constB57) | v124(constB57, bitIndex0))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8066,plain,
% 48.37/30.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB57) | v124(constB57, bitIndex0) | (~v121(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB57, bitIndex0)) | v26(constB57) | v124(constB57, bitIndex0)))),
% 48.37/30.85 inference(monotonicity,[status(thm)],[8065])).
% 48.37/30.85 tff(8067,plain,
% 48.37/30.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB57) | v124(constB57, bitIndex0) | (~v121(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB57, bitIndex0)) | v26(constB57) | v124(constB57, bitIndex0))),
% 48.37/30.85 inference(transitivity,[status(thm)],[8066, 8064])).
% 48.37/30.85 tff(8068,plain,
% 48.37/30.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB57) | v124(constB57, bitIndex0) | (~v121(constB57, bitIndex0)))),
% 48.37/30.85 inference(quant_inst,[status(thm)],[])).
% 48.37/30.85 tff(8069,plain,
% 48.37/30.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB57, bitIndex0)) | v26(constB57) | v124(constB57, bitIndex0)),
% 48.37/30.85 inference(modus_ponens,[status(thm)],[8068, 8067])).
% 48.37/30.85 tff(8070,plain,
% 48.37/30.85 ((~v121(constB57, bitIndex0)) | v124(constB57, bitIndex0)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8069, 607, 7930])).
% 48.37/30.85 tff(8071,plain,
% 48.37/30.85 (~v121(constB57, bitIndex0)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8070, 8063])).
% 48.37/30.85 tff(8072,plain,
% 48.37/30.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v121(constB57, bitIndex0) | (~v123(constB58, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB57, constB58)) | v121(constB57, bitIndex0) | (~v123(constB58, bitIndex0)))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8073,plain,
% 48.37/30.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v121(constB57, bitIndex0) | (~v123(constB58, bitIndex0)))),
% 48.37/30.85 inference(quant_inst,[status(thm)],[])).
% 48.37/30.85 tff(8074,plain,
% 48.37/30.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB57, constB58)) | v121(constB57, bitIndex0) | (~v123(constB58, bitIndex0))),
% 48.37/30.85 inference(modus_ponens,[status(thm)],[8073, 8072])).
% 48.37/30.85 tff(8075,plain,
% 48.37/30.85 (v121(constB57, bitIndex0) | (~v123(constB58, bitIndex0))),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8074, 637, 7945])).
% 48.37/30.85 tff(8076,plain,
% 48.37/30.85 (~v123(constB58, bitIndex0)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8075, 8071])).
% 48.37/30.85 tff(8077,plain,
% 48.37/30.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | v123(constB58, bitIndex0) | (~v94(constB58)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB58, bitIndex0)) | v123(constB58, bitIndex0) | (~v94(constB58)))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8078,plain,
% 48.37/30.85 (((~v84(constB58, bitIndex0)) | (~v94(constB58)) | v123(constB58, bitIndex0)) <=> ((~v84(constB58, bitIndex0)) | v123(constB58, bitIndex0) | (~v94(constB58)))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8079,plain,
% 48.37/30.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | (~v94(constB58)) | v123(constB58, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | v123(constB58, bitIndex0) | (~v94(constB58))))),
% 48.37/30.85 inference(monotonicity,[status(thm)],[8078])).
% 48.37/30.85 tff(8080,plain,
% 48.37/30.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | (~v94(constB58)) | v123(constB58, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB58, bitIndex0)) | v123(constB58, bitIndex0) | (~v94(constB58)))),
% 48.37/30.85 inference(transitivity,[status(thm)],[8079, 8077])).
% 48.37/30.85 tff(8081,plain,
% 48.37/30.85 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | (~v94(constB58)) | v123(constB58, bitIndex0))),
% 48.37/30.85 inference(quant_inst,[status(thm)],[])).
% 48.37/30.85 tff(8082,plain,
% 48.37/30.85 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB58, bitIndex0)) | v123(constB58, bitIndex0) | (~v94(constB58))),
% 48.37/30.85 inference(modus_ponens,[status(thm)],[8081, 8080])).
% 48.37/30.85 tff(8083,plain,
% 48.37/30.85 ((~v84(constB58, bitIndex0)) | (~v94(constB58))),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8082, 652, 8076])).
% 48.37/30.85 tff(8084,plain,
% 48.37/30.85 (~v84(constB58, bitIndex0)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8083, 7979])).
% 48.37/30.85 tff(8085,plain,
% 48.37/30.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex0)))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8086,plain,
% 48.37/30.85 (((~nextState(constB58, constB59)) | v84(constB58, bitIndex0) | v94(constB59) | (~v84(constB59, bitIndex0))) <=> (v84(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex0)))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8087,plain,
% 48.37/30.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex0) | v94(constB59) | (~v84(constB59, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex0))))),
% 48.37/30.85 inference(monotonicity,[status(thm)],[8086])).
% 48.37/30.85 tff(8088,plain,
% 48.37/30.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex0) | v94(constB59) | (~v84(constB59, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex0)))),
% 48.37/30.85 inference(transitivity,[status(thm)],[8087, 8085])).
% 48.37/30.85 tff(8089,plain,
% 48.37/30.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex0) | v94(constB59) | (~v84(constB59, bitIndex0)))),
% 48.37/30.85 inference(quant_inst,[status(thm)],[])).
% 48.37/30.85 tff(8090,plain,
% 48.37/30.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex0))),
% 48.37/30.85 inference(modus_ponens,[status(thm)],[8089, 8088])).
% 48.37/30.85 tff(8091,plain,
% 48.37/30.85 (v84(constB58, bitIndex0) | v94(constB59) | (~v84(constB59, bitIndex0))),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8090, 184, 8007])).
% 48.37/30.85 tff(8092,plain,
% 48.37/30.85 (v84(constB58, bitIndex0) | (~v84(constB59, bitIndex0))),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8091, 8019])).
% 48.37/30.85 tff(8093,plain,
% 48.37/30.85 (~v84(constB59, bitIndex0)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8092, 8084])).
% 48.37/30.85 tff(8094,plain,
% 48.37/30.85 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v115(constB59))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v115(constB59))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8095,plain,
% 48.37/30.85 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v115(constB59))),
% 48.37/30.85 inference(quant_inst,[status(thm)],[])).
% 48.37/30.85 tff(8096,plain,
% 48.37/30.85 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v115(constB59)),
% 48.37/30.85 inference(modus_ponens,[status(thm)],[8095, 8094])).
% 48.37/30.85 tff(8097,plain,
% 48.37/30.85 (v115(constB59)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8096, 1594, 8093, 8059, 8028])).
% 48.37/30.85 tff(8098,plain,
% 48.37/30.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB59)) | v111(constB59))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB59)) | v111(constB59))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8099,plain,
% 48.37/30.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB59)) | v111(constB59))),
% 48.37/30.85 inference(quant_inst,[status(thm)],[])).
% 48.37/30.85 tff(8100,plain,
% 48.37/30.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB59)) | v111(constB59)),
% 48.37/30.85 inference(modus_ponens,[status(thm)],[8099, 8098])).
% 48.37/30.85 tff(8101,plain,
% 48.37/30.85 (v111(constB59)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8100, 1605, 8097])).
% 48.37/30.85 tff(8102,plain,
% 48.37/30.85 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB59) | (~v111(constB59)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB59) | (~v111(constB59)))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8103,plain,
% 48.37/30.85 (((~v111(constB59)) | v110(constB59)) <=> (v110(constB59) | (~v111(constB59)))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8104,plain,
% 48.37/30.85 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB59)) | v110(constB59))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB59) | (~v111(constB59))))),
% 48.37/30.85 inference(monotonicity,[status(thm)],[8103])).
% 48.37/30.85 tff(8105,plain,
% 48.37/30.85 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB59)) | v110(constB59))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB59) | (~v111(constB59)))),
% 48.37/30.85 inference(transitivity,[status(thm)],[8104, 8102])).
% 48.37/30.85 tff(8106,plain,
% 48.37/30.85 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB59)) | v110(constB59))),
% 48.37/30.85 inference(quant_inst,[status(thm)],[])).
% 48.37/30.85 tff(8107,plain,
% 48.37/30.85 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB59) | (~v111(constB59))),
% 48.37/30.85 inference(modus_ponens,[status(thm)],[8106, 8105])).
% 48.37/30.85 tff(8108,plain,
% 48.37/30.85 (v110(constB59)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8107, 292, 8101])).
% 48.37/30.85 tff(8109,assumption,(~v108(constB59)), introduced(assumption)).
% 48.37/30.85 tff(8110,assumption,(v110(constB59)), introduced(assumption)).
% 48.37/30.85 tff(8111,plain,
% 48.37/30.85 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB59)) | v109(constB59))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB59)) | v109(constB59))),
% 48.37/30.85 inference(rewrite,[status(thm)],[])).
% 48.37/30.85 tff(8112,plain,
% 48.37/30.85 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB59)) | v109(constB59))),
% 48.37/30.85 inference(quant_inst,[status(thm)],[])).
% 48.37/30.85 tff(8113,plain,
% 48.37/30.85 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB59)) | v109(constB59)),
% 48.37/30.85 inference(modus_ponens,[status(thm)],[8112, 8111])).
% 48.37/30.85 tff(8114,plain,
% 48.37/30.85 (v109(constB59)),
% 48.37/30.85 inference(unit_resolution,[status(thm)],[8113, 306, 8110])).
% 48.37/30.86 tff(8115,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v109(constB59)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v109(constB59)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8116,plain,
% 48.37/30.86 (((~v109(constB59)) | v108(constB59)) <=> (v108(constB59) | (~v109(constB59)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8117,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v109(constB59))))),
% 48.37/30.86 inference(monotonicity,[status(thm)],[8116])).
% 48.37/30.86 tff(8118,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v109(constB59)))),
% 48.37/30.86 inference(transitivity,[status(thm)],[8117, 8115])).
% 48.37/30.86 tff(8119,plain,
% 48.37/30.86 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB59)) | v108(constB59))),
% 48.37/30.86 inference(quant_inst,[status(thm)],[])).
% 48.37/30.86 tff(8120,plain,
% 48.37/30.86 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v109(constB59))),
% 48.37/30.86 inference(modus_ponens,[status(thm)],[8119, 8118])).
% 48.37/30.86 tff(8121,plain,
% 48.37/30.86 ($false),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8120, 320, 8114, 8109])).
% 48.37/30.86 tff(8122,plain,(v108(constB59) | (~v110(constB59))), inference(lemma,lemma(discharge,[]))).
% 48.37/30.86 tff(8123,plain,
% 48.37/30.86 (v108(constB59)),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8122, 8108])).
% 48.37/30.86 tff(8124,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB59) | (~v108(constB59)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB59) | (~v108(constB59)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8125,plain,
% 48.37/30.86 (((~v108(constB59)) | v107(constB59)) <=> (v107(constB59) | (~v108(constB59)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8126,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB59)) | v107(constB59))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB59) | (~v108(constB59))))),
% 48.37/30.86 inference(monotonicity,[status(thm)],[8125])).
% 48.37/30.86 tff(8127,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB59)) | v107(constB59))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB59) | (~v108(constB59)))),
% 48.37/30.86 inference(transitivity,[status(thm)],[8126, 8124])).
% 48.37/30.86 tff(8128,plain,
% 48.37/30.86 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB59)) | v107(constB59))),
% 48.37/30.86 inference(quant_inst,[status(thm)],[])).
% 48.37/30.86 tff(8129,plain,
% 48.37/30.86 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB59) | (~v108(constB59))),
% 48.37/30.86 inference(modus_ponens,[status(thm)],[8128, 8127])).
% 48.37/30.86 tff(8130,plain,
% 48.37/30.86 (v107(constB59)),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8129, 334, 8123])).
% 48.37/30.86 tff(8131,assumption,(v26(constB59)), introduced(assumption)).
% 48.37/30.86 tff(8132,plain,
% 48.37/30.86 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 48.37/30.86 inference(quant_inst,[status(thm)],[])).
% 48.37/30.86 tff(8133,plain,
% 48.37/30.86 ($false),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8132, 55, 8131])).
% 48.37/30.86 tff(8134,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 48.37/30.86 tff(8135,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | v106(constB59) | (~v107(constB59)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8136,plain,
% 48.37/30.86 ((v26(constB59) | (~v107(constB59)) | v106(constB59)) <=> (v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8137,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | v106(constB59) | (~v107(constB59))))),
% 48.37/30.86 inference(monotonicity,[status(thm)],[8136])).
% 48.37/30.86 tff(8138,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 48.37/30.86 inference(transitivity,[status(thm)],[8137, 8135])).
% 48.37/30.86 tff(8139,plain,
% 48.37/30.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))),
% 48.37/30.86 inference(quant_inst,[status(thm)],[])).
% 48.37/30.86 tff(8140,plain,
% 48.37/30.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59))),
% 48.37/30.86 inference(modus_ponens,[status(thm)],[8139, 8138])).
% 48.37/30.86 tff(8141,plain,
% 48.37/30.86 (v106(constB59) | (~v107(constB59))),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8140, 348, 8134])).
% 48.37/30.86 tff(8142,plain,
% 48.37/30.86 (v106(constB59)),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8141, 8130])).
% 48.37/30.86 tff(8143,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB59) | (~v106(constB59)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB59) | (~v106(constB59)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8144,plain,
% 48.37/30.86 (((~v106(constB59)) | v102(constB59)) <=> (v102(constB59) | (~v106(constB59)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8145,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB59)) | v102(constB59))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB59) | (~v106(constB59))))),
% 48.37/30.86 inference(monotonicity,[status(thm)],[8144])).
% 48.37/30.86 tff(8146,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB59)) | v102(constB59))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB59) | (~v106(constB59)))),
% 48.37/30.86 inference(transitivity,[status(thm)],[8145, 8143])).
% 48.37/30.86 tff(8147,plain,
% 48.37/30.86 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB59)) | v102(constB59))),
% 48.37/30.86 inference(quant_inst,[status(thm)],[])).
% 48.37/30.86 tff(8148,plain,
% 48.37/30.86 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB59) | (~v106(constB59))),
% 48.37/30.86 inference(modus_ponens,[status(thm)],[8147, 8146])).
% 48.37/30.86 tff(8149,plain,
% 48.37/30.86 (v102(constB59)),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8148, 504, 8142])).
% 48.37/30.86 tff(8150,plain,
% 48.37/30.86 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8151,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 48.37/30.86 tff(8152,plain,
% 48.37/30.86 (nextState(constB59, constB60)),
% 48.37/30.86 inference(modus_ponens,[status(thm)],[8151, 8150])).
% 48.37/30.86 tff(8153,plain,
% 48.37/30.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8154,plain,
% 48.37/30.86 (((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60)) <=> ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8155,plain,
% 48.37/30.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59))))),
% 48.37/30.86 inference(monotonicity,[status(thm)],[8154])).
% 48.37/30.86 tff(8156,plain,
% 48.37/30.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 48.37/30.86 inference(transitivity,[status(thm)],[8155, 8153])).
% 48.37/30.86 tff(8157,plain,
% 48.37/30.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))),
% 48.37/30.86 inference(quant_inst,[status(thm)],[])).
% 48.37/30.86 tff(8158,plain,
% 48.37/30.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59))),
% 48.37/30.86 inference(modus_ponens,[status(thm)],[8157, 8156])).
% 48.37/30.86 tff(8159,plain,
% 48.37/30.86 (v104(constB60) | (~v102(constB59))),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8158, 489, 8152])).
% 48.37/30.86 tff(8160,plain,
% 48.37/30.86 (v104(constB60)),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8159, 8149])).
% 48.37/30.86 tff(8161,plain,
% 48.37/30.86 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8162,plain,
% 48.37/30.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))),
% 48.37/30.86 inference(quant_inst,[status(thm)],[])).
% 48.37/30.86 tff(8163,plain,
% 48.37/30.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60))),
% 48.37/30.86 inference(modus_ponens,[status(thm)],[8162, 8161])).
% 48.37/30.86 tff(8164,plain,
% 48.37/30.86 (~v98(constB60)),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8163, 423, 8152, 8004])).
% 48.37/30.86 tff(8165,plain,
% 48.37/30.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8166,plain,
% 48.37/30.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))),
% 48.37/30.86 inference(quant_inst,[status(thm)],[])).
% 48.37/30.86 tff(8167,plain,
% 48.37/30.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB59, constB60)) | v96(constB60) | v98(constB60)),
% 48.37/30.86 inference(modus_ponens,[status(thm)],[8166, 8165])).
% 48.37/30.86 tff(8168,plain,
% 48.37/30.86 (v96(constB60) | v98(constB60)),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8167, 437, 8152])).
% 48.37/30.86 tff(8169,plain,
% 48.37/30.86 (v96(constB60)),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8168, 8164])).
% 48.37/30.86 tff(8170,plain,
% 48.37/30.86 (v1(constB60) <=> v1(constB60)),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8171,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 48.37/30.86 tff(8172,plain,
% 48.37/30.86 (v1(constB60)),
% 48.37/30.86 inference(modus_ponens,[status(thm)],[8171, 8170])).
% 48.37/30.86 tff(8173,plain,
% 48.37/30.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8174,plain,
% 48.37/30.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))),
% 48.37/30.86 inference(quant_inst,[status(thm)],[])).
% 48.37/30.86 tff(8175,plain,
% 48.37/30.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60))),
% 48.37/30.86 inference(modus_ponens,[status(thm)],[8174, 8173])).
% 48.37/30.86 tff(8176,plain,
% 48.37/30.86 (v95(constB60) | (~v96(constB60))),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8175, 455, 8152, 8172])).
% 48.37/30.86 tff(8177,plain,
% 48.37/30.86 (v95(constB60)),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8176, 8169])).
% 48.37/30.86 tff(8178,plain,
% 48.37/30.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8179,plain,
% 48.37/30.86 (((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60)) <=> ((~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8180,plain,
% 48.37/30.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60))))),
% 48.37/30.86 inference(monotonicity,[status(thm)],[8179])).
% 48.37/30.86 tff(8181,plain,
% 48.37/30.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))),
% 48.37/30.86 inference(transitivity,[status(thm)],[8180, 8178])).
% 48.37/30.86 tff(8182,plain,
% 48.37/30.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))),
% 48.37/30.86 inference(quant_inst,[status(thm)],[])).
% 48.37/30.86 tff(8183,plain,
% 48.37/30.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60))),
% 48.37/30.86 inference(modus_ponens,[status(thm)],[8182, 8181])).
% 48.37/30.86 tff(8184,plain,
% 48.37/30.86 (v94(constB60) | (~v95(constB60)) | (~v104(constB60))),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8183, 470, 8152])).
% 48.37/30.86 tff(8185,plain,
% 48.37/30.86 (v94(constB60) | (~v104(constB60))),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8184, 8177])).
% 48.37/30.86 tff(8186,plain,
% 48.37/30.86 (v94(constB60)),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8185, 8160])).
% 48.37/30.86 tff(8187,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB59)) | (~v124(constB59, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB59)) | (~v124(constB59, bitIndex2)))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8188,plain,
% 48.37/30.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB59)) | (~v124(constB59, bitIndex2)))),
% 48.37/30.86 inference(quant_inst,[status(thm)],[])).
% 48.37/30.86 tff(8189,plain,
% 48.37/30.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB59)) | (~v124(constB59, bitIndex2))),
% 48.37/30.86 inference(modus_ponens,[status(thm)],[8188, 8187])).
% 48.37/30.86 tff(8190,plain,
% 48.37/30.86 (~v124(constB59, bitIndex2)),
% 48.37/30.86 inference(unit_resolution,[status(thm)],[8189, 1690, 8097])).
% 48.37/30.86 tff(8191,plain,
% 48.37/30.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB59, bitIndex2)) | v26(constB59) | v124(constB59, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB59, bitIndex2)) | v26(constB59) | v124(constB59, bitIndex2))),
% 48.37/30.86 inference(rewrite,[status(thm)],[])).
% 48.37/30.86 tff(8192,plain,
% 48.37/30.87 ((v26(constB59) | v124(constB59, bitIndex2) | (~v121(constB59, bitIndex2))) <=> ((~v121(constB59, bitIndex2)) | v26(constB59) | v124(constB59, bitIndex2))),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8193,plain,
% 48.37/30.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB59) | v124(constB59, bitIndex2) | (~v121(constB59, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB59, bitIndex2)) | v26(constB59) | v124(constB59, bitIndex2)))),
% 48.37/30.87 inference(monotonicity,[status(thm)],[8192])).
% 48.37/30.87 tff(8194,plain,
% 48.37/30.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB59) | v124(constB59, bitIndex2) | (~v121(constB59, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB59, bitIndex2)) | v26(constB59) | v124(constB59, bitIndex2))),
% 48.37/30.87 inference(transitivity,[status(thm)],[8193, 8191])).
% 48.37/30.87 tff(8195,plain,
% 48.37/30.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB59) | v124(constB59, bitIndex2) | (~v121(constB59, bitIndex2)))),
% 48.37/30.87 inference(quant_inst,[status(thm)],[])).
% 48.37/30.87 tff(8196,plain,
% 48.37/30.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB59, bitIndex2)) | v26(constB59) | v124(constB59, bitIndex2)),
% 48.37/30.87 inference(modus_ponens,[status(thm)],[8195, 8194])).
% 48.37/30.87 tff(8197,plain,
% 48.37/30.87 ((~v121(constB59, bitIndex2)) | v124(constB59, bitIndex2)),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8196, 1187, 8134])).
% 48.37/30.87 tff(8198,plain,
% 48.37/30.87 (~v121(constB59, bitIndex2)),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8197, 8190])).
% 48.37/30.87 tff(8199,plain,
% 48.37/30.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v121(constB59, bitIndex2) | (~v123(constB60, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v121(constB59, bitIndex2) | (~v123(constB60, bitIndex2)))),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8200,plain,
% 48.37/30.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v121(constB59, bitIndex2) | (~v123(constB60, bitIndex2)))),
% 48.37/30.87 inference(quant_inst,[status(thm)],[])).
% 48.37/30.87 tff(8201,plain,
% 48.37/30.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v121(constB59, bitIndex2) | (~v123(constB60, bitIndex2))),
% 48.37/30.87 inference(modus_ponens,[status(thm)],[8200, 8199])).
% 48.37/30.87 tff(8202,plain,
% 48.37/30.87 (v121(constB59, bitIndex2) | (~v123(constB60, bitIndex2))),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8201, 1205, 8152])).
% 48.37/30.87 tff(8203,plain,
% 48.37/30.87 (~v123(constB60, bitIndex2)),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8202, 8198])).
% 48.37/30.87 tff(8204,plain,
% 48.37/30.87 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB60, bitIndex2)) | v123(constB60, bitIndex2) | (~v94(constB60)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB60, bitIndex2)) | v123(constB60, bitIndex2) | (~v94(constB60)))),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8205,plain,
% 48.37/30.87 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB60, bitIndex2)) | v123(constB60, bitIndex2) | (~v94(constB60)))),
% 48.37/30.87 inference(quant_inst,[status(thm)],[])).
% 48.37/30.87 tff(8206,plain,
% 48.37/30.87 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB60, bitIndex2)) | v123(constB60, bitIndex2) | (~v94(constB60))),
% 48.37/30.87 inference(modus_ponens,[status(thm)],[8205, 8204])).
% 48.37/30.87 tff(8207,plain,
% 48.37/30.87 ((~v84(constB60, bitIndex2)) | (~v94(constB60))),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8206, 1220, 8203])).
% 48.37/30.87 tff(8208,plain,
% 48.37/30.87 (~v84(constB60, bitIndex2)),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8207, 8186])).
% 48.37/30.87 tff(8209,plain,
% 48.37/30.87 ((~v1(constB61)) <=> (~v1(constB61))),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8210,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 48.37/30.87 tff(8211,plain,
% 48.37/30.87 (~v1(constB61)),
% 48.37/30.87 inference(modus_ponens,[status(thm)],[8210, 8209])).
% 48.37/30.87 tff(8212,plain,
% 48.37/30.87 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8213,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 48.37/30.87 tff(8214,plain,
% 48.37/30.87 (nextState(constB60, constB61)),
% 48.37/30.87 inference(modus_ponens,[status(thm)],[8213, 8212])).
% 48.37/30.87 tff(8215,plain,
% 48.37/30.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8216,plain,
% 48.37/30.87 (((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8217,plain,
% 48.37/30.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61))))),
% 48.37/30.87 inference(monotonicity,[status(thm)],[8216])).
% 48.37/30.87 tff(8218,plain,
% 48.37/30.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 48.37/30.87 inference(transitivity,[status(thm)],[8217, 8215])).
% 48.37/30.87 tff(8219,plain,
% 48.37/30.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))),
% 48.37/30.87 inference(quant_inst,[status(thm)],[])).
% 48.37/30.87 tff(8220,plain,
% 48.37/30.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61))),
% 48.37/30.87 inference(modus_ponens,[status(thm)],[8219, 8218])).
% 48.37/30.87 tff(8221,plain,
% 48.37/30.87 (~v95(constB61)),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8220, 110, 8214, 8211])).
% 48.37/30.87 tff(8222,plain,
% 48.37/30.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8223,plain,
% 48.37/30.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))),
% 48.37/30.87 inference(quant_inst,[status(thm)],[])).
% 48.37/30.87 tff(8224,plain,
% 48.37/30.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61))),
% 48.37/30.87 inference(modus_ponens,[status(thm)],[8223, 8222])).
% 48.37/30.87 tff(8225,plain,
% 48.37/30.87 (v95(constB61) | (~v94(constB61))),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8224, 127, 8214])).
% 48.37/30.87 tff(8226,plain,
% 48.37/30.87 (~v94(constB61)),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8225, 8221])).
% 48.37/30.87 tff(8227,plain,
% 48.37/30.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex2)))),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8228,plain,
% 48.37/30.87 (((~nextState(constB60, constB61)) | v84(constB60, bitIndex2) | v94(constB61) | (~v84(constB61, bitIndex2))) <=> (v84(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex2)))),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8229,plain,
% 48.37/30.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v84(constB60, bitIndex2) | v94(constB61) | (~v84(constB61, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex2))))),
% 48.37/30.87 inference(monotonicity,[status(thm)],[8228])).
% 48.37/30.87 tff(8230,plain,
% 48.37/30.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v84(constB60, bitIndex2) | v94(constB61) | (~v84(constB61, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex2)))),
% 48.37/30.87 inference(transitivity,[status(thm)],[8229, 8227])).
% 48.37/30.87 tff(8231,plain,
% 48.37/30.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v84(constB60, bitIndex2) | v94(constB61) | (~v84(constB61, bitIndex2)))),
% 48.37/30.87 inference(quant_inst,[status(thm)],[])).
% 48.37/30.87 tff(8232,plain,
% 48.37/30.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex2))),
% 48.37/30.87 inference(modus_ponens,[status(thm)],[8231, 8230])).
% 48.37/30.87 tff(8233,plain,
% 48.37/30.87 (v84(constB60, bitIndex2) | v94(constB61) | (~v84(constB61, bitIndex2))),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8232, 142, 8214])).
% 48.37/30.87 tff(8234,plain,
% 48.37/30.87 (v84(constB60, bitIndex2) | (~v84(constB61, bitIndex2))),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8233, 8226])).
% 48.37/30.87 tff(8235,plain,
% 48.37/30.87 (~v84(constB61, bitIndex2)),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8234, 8208])).
% 48.37/30.87 tff(8236,plain,
% 48.37/30.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB59)) | v124(constB59, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB59)) | v124(constB59, bitIndex1))),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8237,plain,
% 48.37/30.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB59)) | v124(constB59, bitIndex1))),
% 48.37/30.87 inference(quant_inst,[status(thm)],[])).
% 48.37/30.87 tff(8238,plain,
% 48.37/30.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB59)) | v124(constB59, bitIndex1)),
% 48.37/30.87 inference(modus_ponens,[status(thm)],[8237, 8236])).
% 48.37/30.87 tff(8239,plain,
% 48.37/30.87 (v124(constB59, bitIndex1)),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8238, 1746, 8097])).
% 48.37/30.87 tff(8240,plain,
% 48.37/30.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1))),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8241,plain,
% 48.37/30.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1))),
% 48.37/30.87 inference(quant_inst,[status(thm)],[])).
% 48.37/30.87 tff(8242,plain,
% 48.37/30.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1)),
% 48.37/30.87 inference(modus_ponens,[status(thm)],[8241, 8240])).
% 48.37/30.87 tff(8243,plain,
% 48.37/30.87 ((~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1)),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8242, 857, 8134])).
% 48.37/30.87 tff(8244,plain,
% 48.37/30.87 (v121(constB59, bitIndex1)),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8243, 8239])).
% 48.37/30.87 tff(8245,plain,
% 48.37/30.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1))),
% 48.37/30.87 inference(rewrite,[status(thm)],[])).
% 48.37/30.87 tff(8246,plain,
% 48.37/30.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1))),
% 48.37/30.87 inference(quant_inst,[status(thm)],[])).
% 48.37/30.87 tff(8247,plain,
% 48.37/30.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1)),
% 48.37/30.87 inference(modus_ponens,[status(thm)],[8246, 8245])).
% 48.37/30.87 tff(8248,plain,
% 48.37/30.87 ((~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1)),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8247, 872, 8152])).
% 48.37/30.87 tff(8249,plain,
% 48.37/30.87 (v123(constB60, bitIndex1)),
% 48.37/30.87 inference(unit_resolution,[status(thm)],[8248, 8244])).
% 48.37/30.87 tff(8250,plain,
% 48.37/30.87 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8251,plain,
% 48.37/30.88 ((v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1))) <=> (v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8252,plain,
% 48.37/30.88 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60))))),
% 48.37/30.88 inference(monotonicity,[status(thm)],[8251])).
% 48.37/30.88 tff(8253,plain,
% 48.37/30.88 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))),
% 48.37/30.88 inference(transitivity,[status(thm)],[8252, 8250])).
% 48.37/30.88 tff(8254,plain,
% 48.37/30.88 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1)))),
% 48.37/30.88 inference(quant_inst,[status(thm)],[])).
% 48.37/30.88 tff(8255,plain,
% 48.37/30.88 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60))),
% 48.37/30.88 inference(modus_ponens,[status(thm)],[8254, 8253])).
% 48.37/30.88 tff(8256,plain,
% 48.37/30.88 (v84(constB60, bitIndex1) | (~v94(constB60))),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8255, 887, 8249])).
% 48.37/30.88 tff(8257,plain,
% 48.37/30.88 (v84(constB60, bitIndex1)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8256, 8186])).
% 48.37/30.88 tff(8258,plain,
% 48.37/30.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8259,plain,
% 48.37/30.88 (((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1)) <=> ((~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8260,plain,
% 48.37/30.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1)))),
% 48.37/30.88 inference(monotonicity,[status(thm)],[8259])).
% 48.37/30.88 tff(8261,plain,
% 48.37/30.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))),
% 48.37/30.88 inference(transitivity,[status(thm)],[8260, 8258])).
% 48.37/30.88 tff(8262,plain,
% 48.37/30.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1))),
% 48.37/30.88 inference(quant_inst,[status(thm)],[])).
% 48.37/30.88 tff(8263,plain,
% 48.37/30.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1)),
% 48.37/30.88 inference(modus_ponens,[status(thm)],[8262, 8261])).
% 48.37/30.88 tff(8264,plain,
% 48.37/30.88 ((~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8263, 905, 8214])).
% 48.37/30.88 tff(8265,plain,
% 48.37/30.88 ((~v84(constB60, bitIndex1)) | v84(constB61, bitIndex1)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8264, 8226])).
% 48.37/30.88 tff(8266,plain,
% 48.37/30.88 (v84(constB61, bitIndex1)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8265, 8257])).
% 48.37/30.88 tff(8267,plain,
% 48.37/30.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB59)) | v124(constB59, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB59)) | v124(constB59, bitIndex0))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8268,plain,
% 48.37/30.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB59)) | v124(constB59, bitIndex0))),
% 48.37/30.88 inference(quant_inst,[status(thm)],[])).
% 48.37/30.88 tff(8269,plain,
% 48.37/30.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB59)) | v124(constB59, bitIndex0)),
% 48.37/30.88 inference(modus_ponens,[status(thm)],[8268, 8267])).
% 48.37/30.88 tff(8270,plain,
% 48.37/30.88 (v124(constB59, bitIndex0)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8269, 1784, 8097])).
% 48.37/30.88 tff(8271,plain,
% 48.37/30.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB59) | (~v124(constB59, bitIndex0)) | v121(constB59, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB59) | (~v124(constB59, bitIndex0)) | v121(constB59, bitIndex0))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8272,plain,
% 48.37/30.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB59) | (~v124(constB59, bitIndex0)) | v121(constB59, bitIndex0))),
% 48.37/30.88 inference(quant_inst,[status(thm)],[])).
% 48.37/30.88 tff(8273,plain,
% 48.37/30.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB59) | (~v124(constB59, bitIndex0)) | v121(constB59, bitIndex0)),
% 48.37/30.88 inference(modus_ponens,[status(thm)],[8272, 8271])).
% 48.37/30.88 tff(8274,plain,
% 48.37/30.88 ((~v124(constB59, bitIndex0)) | v121(constB59, bitIndex0)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8273, 1391, 8134])).
% 48.37/30.88 tff(8275,plain,
% 48.37/30.88 (v121(constB59, bitIndex0)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8274, 8270])).
% 48.37/30.88 tff(8276,plain,
% 48.37/30.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex0)) | v123(constB60, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex0)) | v123(constB60, bitIndex0))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8277,plain,
% 48.37/30.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex0)) | v123(constB60, bitIndex0))),
% 48.37/30.88 inference(quant_inst,[status(thm)],[])).
% 48.37/30.88 tff(8278,plain,
% 48.37/30.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex0)) | v123(constB60, bitIndex0)),
% 48.37/30.88 inference(modus_ponens,[status(thm)],[8277, 8276])).
% 48.37/30.88 tff(8279,plain,
% 48.37/30.88 ((~v121(constB59, bitIndex0)) | v123(constB60, bitIndex0)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8278, 1406, 8152])).
% 48.37/30.88 tff(8280,plain,
% 48.37/30.88 (v123(constB60, bitIndex0)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8279, 8275])).
% 48.37/30.88 tff(8281,plain,
% 48.37/30.88 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~v123(constB60, bitIndex0)) | (~v94(constB60)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB60, bitIndex0) | (~v123(constB60, bitIndex0)) | (~v94(constB60)))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8282,plain,
% 48.37/30.88 ((v84(constB60, bitIndex0) | (~v94(constB60)) | (~v123(constB60, bitIndex0))) <=> (v84(constB60, bitIndex0) | (~v123(constB60, bitIndex0)) | (~v94(constB60)))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8283,plain,
% 48.37/30.88 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~v94(constB60)) | (~v123(constB60, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~v123(constB60, bitIndex0)) | (~v94(constB60))))),
% 48.37/30.88 inference(monotonicity,[status(thm)],[8282])).
% 48.37/30.88 tff(8284,plain,
% 48.37/30.88 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~v94(constB60)) | (~v123(constB60, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB60, bitIndex0) | (~v123(constB60, bitIndex0)) | (~v94(constB60)))),
% 48.37/30.88 inference(transitivity,[status(thm)],[8283, 8281])).
% 48.37/30.88 tff(8285,plain,
% 48.37/30.88 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~v94(constB60)) | (~v123(constB60, bitIndex0)))),
% 48.37/30.88 inference(quant_inst,[status(thm)],[])).
% 48.37/30.88 tff(8286,plain,
% 48.37/30.88 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB60, bitIndex0) | (~v123(constB60, bitIndex0)) | (~v94(constB60))),
% 48.37/30.88 inference(modus_ponens,[status(thm)],[8285, 8284])).
% 48.37/30.88 tff(8287,plain,
% 48.37/30.88 (v84(constB60, bitIndex0) | (~v94(constB60))),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8286, 1421, 8280])).
% 48.37/30.88 tff(8288,plain,
% 48.37/30.88 (v84(constB60, bitIndex0)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8287, 8186])).
% 48.37/30.88 tff(8289,plain,
% 48.37/30.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex0))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8290,plain,
% 48.37/30.88 (((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex0)) | v94(constB61) | v84(constB61, bitIndex0)) <=> ((~v84(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex0))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8291,plain,
% 48.37/30.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex0)) | v94(constB61) | v84(constB61, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex0)))),
% 48.37/30.88 inference(monotonicity,[status(thm)],[8290])).
% 48.37/30.88 tff(8292,plain,
% 48.37/30.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex0)) | v94(constB61) | v84(constB61, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex0))),
% 48.37/30.88 inference(transitivity,[status(thm)],[8291, 8289])).
% 48.37/30.88 tff(8293,plain,
% 48.37/30.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex0)) | v94(constB61) | v84(constB61, bitIndex0))),
% 48.37/30.88 inference(quant_inst,[status(thm)],[])).
% 48.37/30.88 tff(8294,plain,
% 48.37/30.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex0)),
% 48.37/30.88 inference(modus_ponens,[status(thm)],[8293, 8292])).
% 48.37/30.88 tff(8295,plain,
% 48.37/30.88 ((~v84(constB60, bitIndex0)) | v94(constB61) | v84(constB61, bitIndex0)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8294, 1439, 8214])).
% 48.37/30.88 tff(8296,plain,
% 48.37/30.88 ((~v84(constB60, bitIndex0)) | v84(constB61, bitIndex0)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8295, 8226])).
% 48.37/30.88 tff(8297,plain,
% 48.37/30.88 (v84(constB61, bitIndex0)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8296, 8288])).
% 48.37/30.88 tff(8298,plain,
% 48.37/30.88 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex2) | v116(constB61))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex2) | v116(constB61))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8299,plain,
% 48.37/30.88 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex2) | v116(constB61))),
% 48.37/30.88 inference(quant_inst,[status(thm)],[])).
% 48.37/30.88 tff(8300,plain,
% 48.37/30.88 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex2) | v116(constB61)),
% 48.37/30.88 inference(modus_ponens,[status(thm)],[8299, 8298])).
% 48.37/30.88 tff(8301,plain,
% 48.37/30.88 (v116(constB61)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8300, 1825, 8297, 8266, 8235])).
% 48.37/30.88 tff(8302,plain,
% 48.37/30.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB61)) | v110(constB61))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB61)) | v110(constB61))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8303,plain,
% 48.37/30.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB61)) | v110(constB61))),
% 48.37/30.88 inference(quant_inst,[status(thm)],[])).
% 48.37/30.88 tff(8304,plain,
% 48.37/30.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB61)) | v110(constB61)),
% 48.37/30.88 inference(modus_ponens,[status(thm)],[8303, 8302])).
% 48.37/30.88 tff(8305,plain,
% 48.37/30.88 (v110(constB61)),
% 48.37/30.88 inference(unit_resolution,[status(thm)],[8304, 1836, 8301])).
% 48.37/30.88 tff(8306,plain,
% 48.37/30.88 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB61) | (~v110(constB61)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB61) | (~v110(constB61)))),
% 48.37/30.88 inference(rewrite,[status(thm)],[])).
% 48.37/30.88 tff(8307,plain,
% 48.37/30.88 (((~v110(constB61)) | v109(constB61)) <=> (v109(constB61) | (~v110(constB61)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8308,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB61)) | v109(constB61))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB61) | (~v110(constB61))))),
% 48.37/30.89 inference(monotonicity,[status(thm)],[8307])).
% 48.37/30.89 tff(8309,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB61)) | v109(constB61))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB61) | (~v110(constB61)))),
% 48.37/30.89 inference(transitivity,[status(thm)],[8308, 8306])).
% 48.37/30.89 tff(8310,plain,
% 48.37/30.89 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB61)) | v109(constB61))),
% 48.37/30.89 inference(quant_inst,[status(thm)],[])).
% 48.37/30.89 tff(8311,plain,
% 48.37/30.89 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB61) | (~v110(constB61))),
% 48.37/30.89 inference(modus_ponens,[status(thm)],[8310, 8309])).
% 48.37/30.89 tff(8312,plain,
% 48.37/30.89 (v109(constB61)),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8311, 306, 8305])).
% 48.37/30.89 tff(8313,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v109(constB61)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v109(constB61)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8314,plain,
% 48.37/30.89 (((~v109(constB61)) | v108(constB61)) <=> (v108(constB61) | (~v109(constB61)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8315,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v109(constB61))))),
% 48.37/30.89 inference(monotonicity,[status(thm)],[8314])).
% 48.37/30.89 tff(8316,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v109(constB61)))),
% 48.37/30.89 inference(transitivity,[status(thm)],[8315, 8313])).
% 48.37/30.89 tff(8317,plain,
% 48.37/30.89 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB61)) | v108(constB61))),
% 48.37/30.89 inference(quant_inst,[status(thm)],[])).
% 48.37/30.89 tff(8318,plain,
% 48.37/30.89 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v109(constB61))),
% 48.37/30.89 inference(modus_ponens,[status(thm)],[8317, 8316])).
% 48.37/30.89 tff(8319,plain,
% 48.37/30.89 (v108(constB61)),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8318, 320, 8312])).
% 48.37/30.89 tff(8320,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB61) | (~v108(constB61)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB61) | (~v108(constB61)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8321,plain,
% 48.37/30.89 (((~v108(constB61)) | v107(constB61)) <=> (v107(constB61) | (~v108(constB61)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8322,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB61)) | v107(constB61))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB61) | (~v108(constB61))))),
% 48.37/30.89 inference(monotonicity,[status(thm)],[8321])).
% 48.37/30.89 tff(8323,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB61)) | v107(constB61))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB61) | (~v108(constB61)))),
% 48.37/30.89 inference(transitivity,[status(thm)],[8322, 8320])).
% 48.37/30.89 tff(8324,plain,
% 48.37/30.89 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB61)) | v107(constB61))),
% 48.37/30.89 inference(quant_inst,[status(thm)],[])).
% 48.37/30.89 tff(8325,plain,
% 48.37/30.89 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB61) | (~v108(constB61))),
% 48.37/30.89 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 48.37/30.89 tff(8326,plain,
% 48.37/30.89 (v107(constB61)),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8325, 334, 8319])).
% 48.37/30.89 tff(8327,assumption,(v26(constB61)), introduced(assumption)).
% 48.37/30.89 tff(8328,plain,
% 48.37/30.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 48.37/30.89 inference(quant_inst,[status(thm)],[])).
% 48.37/30.89 tff(8329,plain,
% 48.37/30.89 ($false),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8328, 55, 8327])).
% 48.37/30.89 tff(8330,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 48.37/30.89 tff(8331,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | v106(constB61) | (~v107(constB61)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | v106(constB61) | (~v107(constB61)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8332,plain,
% 48.37/30.89 ((v26(constB61) | (~v107(constB61)) | v106(constB61)) <=> (v26(constB61) | v106(constB61) | (~v107(constB61)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8333,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | v106(constB61) | (~v107(constB61))))),
% 48.37/30.89 inference(monotonicity,[status(thm)],[8332])).
% 48.37/30.89 tff(8334,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | v106(constB61) | (~v107(constB61)))),
% 48.37/30.89 inference(transitivity,[status(thm)],[8333, 8331])).
% 48.37/30.89 tff(8335,plain,
% 48.37/30.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))),
% 48.37/30.89 inference(quant_inst,[status(thm)],[])).
% 48.37/30.89 tff(8336,plain,
% 48.37/30.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | v106(constB61) | (~v107(constB61))),
% 48.37/30.89 inference(modus_ponens,[status(thm)],[8335, 8334])).
% 48.37/30.89 tff(8337,plain,
% 48.37/30.89 (v106(constB61) | (~v107(constB61))),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8336, 348, 8330])).
% 48.37/30.89 tff(8338,plain,
% 48.37/30.89 (v106(constB61)),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8337, 8326])).
% 48.37/30.89 tff(8339,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB61) | (~v106(constB61)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB61) | (~v106(constB61)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8340,plain,
% 48.37/30.89 (((~v106(constB61)) | v102(constB61)) <=> (v102(constB61) | (~v106(constB61)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8341,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB61)) | v102(constB61))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB61) | (~v106(constB61))))),
% 48.37/30.89 inference(monotonicity,[status(thm)],[8340])).
% 48.37/30.89 tff(8342,plain,
% 48.37/30.89 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB61)) | v102(constB61))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB61) | (~v106(constB61)))),
% 48.37/30.89 inference(transitivity,[status(thm)],[8341, 8339])).
% 48.37/30.89 tff(8343,plain,
% 48.37/30.89 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB61)) | v102(constB61))),
% 48.37/30.89 inference(quant_inst,[status(thm)],[])).
% 48.37/30.89 tff(8344,plain,
% 48.37/30.89 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB61) | (~v106(constB61))),
% 48.37/30.89 inference(modus_ponens,[status(thm)],[8343, 8342])).
% 48.37/30.89 tff(8345,plain,
% 48.37/30.89 (v102(constB61)),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8344, 504, 8338])).
% 48.37/30.89 tff(8346,plain,
% 48.37/30.89 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8347,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 48.37/30.89 tff(8348,plain,
% 48.37/30.89 (nextState(constB61, constB62)),
% 48.37/30.89 inference(modus_ponens,[status(thm)],[8347, 8346])).
% 48.37/30.89 tff(8349,plain,
% 48.37/30.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8350,plain,
% 48.37/30.89 (((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62)) <=> ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8351,plain,
% 48.37/30.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61))))),
% 48.37/30.89 inference(monotonicity,[status(thm)],[8350])).
% 48.37/30.89 tff(8352,plain,
% 48.37/30.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 48.37/30.89 inference(transitivity,[status(thm)],[8351, 8349])).
% 48.37/30.89 tff(8353,plain,
% 48.37/30.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))),
% 48.37/30.89 inference(quant_inst,[status(thm)],[])).
% 48.37/30.89 tff(8354,plain,
% 48.37/30.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61))),
% 48.37/30.89 inference(modus_ponens,[status(thm)],[8353, 8352])).
% 48.37/30.89 tff(8355,plain,
% 48.37/30.89 (v104(constB62) | (~v102(constB61))),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8354, 489, 8348])).
% 48.37/30.89 tff(8356,plain,
% 48.37/30.89 (v104(constB62)),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8355, 8345])).
% 48.37/30.89 tff(8357,plain,
% 48.37/30.89 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8358,plain,
% 48.37/30.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))),
% 48.37/30.89 inference(quant_inst,[status(thm)],[])).
% 48.37/30.89 tff(8359,plain,
% 48.37/30.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62))),
% 48.37/30.89 inference(modus_ponens,[status(thm)],[8358, 8357])).
% 48.37/30.89 tff(8360,plain,
% 48.37/30.89 (~v98(constB62)),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8359, 423, 8348, 8211])).
% 48.37/30.89 tff(8361,plain,
% 48.37/30.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8362,plain,
% 48.37/30.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))),
% 48.37/30.89 inference(quant_inst,[status(thm)],[])).
% 48.37/30.89 tff(8363,plain,
% 48.37/30.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB61, constB62)) | v96(constB62) | v98(constB62)),
% 48.37/30.89 inference(modus_ponens,[status(thm)],[8362, 8361])).
% 48.37/30.89 tff(8364,plain,
% 48.37/30.89 (v96(constB62) | v98(constB62)),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8363, 437, 8348])).
% 48.37/30.89 tff(8365,plain,
% 48.37/30.89 (v96(constB62)),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8364, 8360])).
% 48.37/30.89 tff(8366,plain,
% 48.37/30.89 (v1(constB62) <=> v1(constB62)),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8367,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 48.37/30.89 tff(8368,plain,
% 48.37/30.89 (v1(constB62)),
% 48.37/30.89 inference(modus_ponens,[status(thm)],[8367, 8366])).
% 48.37/30.89 tff(8369,plain,
% 48.37/30.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8370,plain,
% 48.37/30.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))),
% 48.37/30.89 inference(quant_inst,[status(thm)],[])).
% 48.37/30.89 tff(8371,plain,
% 48.37/30.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62))),
% 48.37/30.89 inference(modus_ponens,[status(thm)],[8370, 8369])).
% 48.37/30.89 tff(8372,plain,
% 48.37/30.89 (v95(constB62) | (~v96(constB62))),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8371, 455, 8348, 8368])).
% 48.37/30.89 tff(8373,plain,
% 48.37/30.89 (v95(constB62)),
% 48.37/30.89 inference(unit_resolution,[status(thm)],[8372, 8365])).
% 48.37/30.89 tff(8374,plain,
% 48.37/30.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8375,plain,
% 48.37/30.89 (((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62)) <=> ((~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))),
% 48.37/30.89 inference(rewrite,[status(thm)],[])).
% 48.37/30.89 tff(8376,plain,
% 48.37/30.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62))))),
% 48.37/30.89 inference(monotonicity,[status(thm)],[8375])).
% 48.37/30.89 tff(8377,plain,
% 48.37/30.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))),
% 48.37/30.89 inference(transitivity,[status(thm)],[8376, 8374])).
% 48.37/30.89 tff(8378,plain,
% 48.37/30.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))),
% 48.37/30.89 inference(quant_inst,[status(thm)],[])).
% 48.37/30.89 tff(8379,plain,
% 48.45/30.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62))),
% 48.45/30.90 inference(modus_ponens,[status(thm)],[8378, 8377])).
% 48.45/30.90 tff(8380,plain,
% 48.45/30.90 (v94(constB62) | (~v95(constB62)) | (~v104(constB62))),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8379, 470, 8348])).
% 48.45/30.90 tff(8381,plain,
% 48.45/30.90 (v94(constB62) | (~v104(constB62))),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8380, 8373])).
% 48.45/30.90 tff(8382,plain,
% 48.45/30.90 (v94(constB62)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8381, 8356])).
% 48.45/30.90 tff(8383,plain,
% 48.45/30.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB61)) | v124(constB61, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB61)) | v124(constB61, bitIndex2))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8384,plain,
% 48.45/30.90 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB61)) | v124(constB61, bitIndex2))),
% 48.45/30.90 inference(quant_inst,[status(thm)],[])).
% 48.45/30.90 tff(8385,plain,
% 48.45/30.90 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB61)) | v124(constB61, bitIndex2)),
% 48.45/30.90 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 48.45/30.90 tff(8386,plain,
% 48.45/30.90 (v124(constB61, bitIndex2)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8385, 1923, 8301])).
% 48.45/30.90 tff(8387,plain,
% 48.45/30.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB61) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB61) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8388,plain,
% 48.45/30.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB61) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2))),
% 48.45/30.90 inference(quant_inst,[status(thm)],[])).
% 48.45/30.90 tff(8389,plain,
% 48.45/30.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB61) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2)),
% 48.45/30.90 inference(modus_ponens,[status(thm)],[8388, 8387])).
% 48.45/30.90 tff(8390,plain,
% 48.45/30.90 ((~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8389, 374, 8330])).
% 48.45/30.90 tff(8391,plain,
% 48.45/30.90 (v121(constB61, bitIndex2)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8390, 8386])).
% 48.45/30.90 tff(8392,plain,
% 48.45/30.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v121(constB61, bitIndex2)) | v123(constB62, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB61, constB62)) | (~v121(constB61, bitIndex2)) | v123(constB62, bitIndex2))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8393,plain,
% 48.45/30.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v121(constB61, bitIndex2)) | v123(constB62, bitIndex2))),
% 48.45/30.90 inference(quant_inst,[status(thm)],[])).
% 48.45/30.90 tff(8394,plain,
% 48.45/30.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB61, constB62)) | (~v121(constB61, bitIndex2)) | v123(constB62, bitIndex2)),
% 48.45/30.90 inference(modus_ponens,[status(thm)],[8393, 8392])).
% 48.45/30.90 tff(8395,plain,
% 48.45/30.90 ((~v121(constB61, bitIndex2)) | v123(constB62, bitIndex2)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8394, 389, 8348])).
% 48.45/30.90 tff(8396,plain,
% 48.45/30.90 (v123(constB62, bitIndex2)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8395, 8391])).
% 48.45/30.90 tff(8397,plain,
% 48.45/30.90 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)) | (~v94(constB62)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)) | (~v94(constB62)))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8398,plain,
% 48.45/30.90 ((v84(constB62, bitIndex2) | (~v94(constB62)) | (~v123(constB62, bitIndex2))) <=> (v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)) | (~v94(constB62)))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8399,plain,
% 48.45/30.90 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~v94(constB62)) | (~v123(constB62, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)) | (~v94(constB62))))),
% 48.45/30.90 inference(monotonicity,[status(thm)],[8398])).
% 48.45/30.90 tff(8400,plain,
% 48.45/30.90 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~v94(constB62)) | (~v123(constB62, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)) | (~v94(constB62)))),
% 48.45/30.90 inference(transitivity,[status(thm)],[8399, 8397])).
% 48.45/30.90 tff(8401,plain,
% 48.45/30.90 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~v94(constB62)) | (~v123(constB62, bitIndex2)))),
% 48.45/30.90 inference(quant_inst,[status(thm)],[])).
% 48.45/30.90 tff(8402,plain,
% 48.45/30.90 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)) | (~v94(constB62))),
% 48.45/30.90 inference(modus_ponens,[status(thm)],[8401, 8400])).
% 48.45/30.90 tff(8403,plain,
% 48.45/30.90 (v84(constB62, bitIndex2) | (~v94(constB62))),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8402, 405, 8396])).
% 48.45/30.90 tff(8404,plain,
% 48.45/30.90 (v84(constB62, bitIndex2)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8403, 8382])).
% 48.45/30.90 tff(8405,plain,
% 48.45/30.90 ((~v1(constB63)) <=> (~v1(constB63))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8406,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 48.45/30.90 tff(8407,plain,
% 48.45/30.90 (~v1(constB63)),
% 48.45/30.90 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 48.45/30.90 tff(8408,plain,
% 48.45/30.90 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8409,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 48.45/30.90 tff(8410,plain,
% 48.45/30.90 (nextState(constB62, constB63)),
% 48.45/30.90 inference(modus_ponens,[status(thm)],[8409, 8408])).
% 48.45/30.90 tff(8411,plain,
% 48.45/30.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8412,plain,
% 48.45/30.90 (((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8413,plain,
% 48.45/30.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63))))),
% 48.45/30.90 inference(monotonicity,[status(thm)],[8412])).
% 48.45/30.90 tff(8414,plain,
% 48.45/30.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 48.45/30.90 inference(transitivity,[status(thm)],[8413, 8411])).
% 48.45/30.90 tff(8415,plain,
% 48.45/30.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))),
% 48.45/30.90 inference(quant_inst,[status(thm)],[])).
% 48.45/30.90 tff(8416,plain,
% 48.45/30.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63))),
% 48.45/30.90 inference(modus_ponens,[status(thm)],[8415, 8414])).
% 48.45/30.90 tff(8417,plain,
% 48.45/30.90 (~v95(constB63)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8416, 110, 8410, 8407])).
% 48.45/30.90 tff(8418,plain,
% 48.45/30.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8419,plain,
% 48.45/30.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))),
% 48.45/30.90 inference(quant_inst,[status(thm)],[])).
% 48.45/30.90 tff(8420,plain,
% 48.45/30.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63))),
% 48.45/30.90 inference(modus_ponens,[status(thm)],[8419, 8418])).
% 48.45/30.90 tff(8421,plain,
% 48.45/30.90 (v95(constB63) | (~v94(constB63))),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8420, 127, 8410])).
% 48.45/30.90 tff(8422,plain,
% 48.45/30.90 (~v94(constB63)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8421, 8417])).
% 48.45/30.90 tff(8423,plain,
% 48.45/30.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex2))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8424,plain,
% 48.45/30.90 (((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex2)) | v94(constB63) | v84(constB63, bitIndex2)) <=> ((~v84(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex2))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8425,plain,
% 48.45/30.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex2)) | v94(constB63) | v84(constB63, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex2)))),
% 48.45/30.90 inference(monotonicity,[status(thm)],[8424])).
% 48.45/30.90 tff(8426,plain,
% 48.45/30.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex2)) | v94(constB63) | v84(constB63, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex2))),
% 48.45/30.90 inference(transitivity,[status(thm)],[8425, 8423])).
% 48.45/30.90 tff(8427,plain,
% 48.45/30.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex2)) | v94(constB63) | v84(constB63, bitIndex2))),
% 48.45/30.90 inference(quant_inst,[status(thm)],[])).
% 48.45/30.90 tff(8428,plain,
% 48.45/30.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex2)),
% 48.45/30.90 inference(modus_ponens,[status(thm)],[8427, 8426])).
% 48.45/30.90 tff(8429,plain,
% 48.45/30.90 ((~v84(constB62, bitIndex2)) | v94(constB63) | v84(constB63, bitIndex2)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8428, 576, 8410])).
% 48.45/30.90 tff(8430,plain,
% 48.45/30.90 ((~v84(constB62, bitIndex2)) | v84(constB63, bitIndex2)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8429, 8422])).
% 48.45/30.90 tff(8431,plain,
% 48.45/30.90 (v84(constB63, bitIndex2)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8430, 8404])).
% 48.45/30.90 tff(8432,plain,
% 48.45/30.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB61)) | (~v124(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB61)) | (~v124(constB61, bitIndex1)))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8433,plain,
% 48.45/30.90 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB61)) | (~v124(constB61, bitIndex1)))),
% 48.45/30.90 inference(quant_inst,[status(thm)],[])).
% 48.45/30.90 tff(8434,plain,
% 48.45/30.90 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB61)) | (~v124(constB61, bitIndex1))),
% 48.45/30.90 inference(modus_ponens,[status(thm)],[8433, 8432])).
% 48.45/30.90 tff(8435,plain,
% 48.45/30.90 (~v124(constB61, bitIndex1)),
% 48.45/30.90 inference(unit_resolution,[status(thm)],[8434, 1979, 8301])).
% 48.45/30.90 tff(8436,plain,
% 48.45/30.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8437,plain,
% 48.45/30.90 ((v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1))) <=> ((~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))),
% 48.45/30.90 inference(rewrite,[status(thm)],[])).
% 48.45/30.90 tff(8438,plain,
% 48.45/30.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1)))),
% 48.45/30.90 inference(monotonicity,[status(thm)],[8437])).
% 48.45/30.90 tff(8439,plain,
% 48.45/30.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))),
% 48.45/30.90 inference(transitivity,[status(thm)],[8438, 8436])).
% 48.45/30.90 tff(8440,plain,
% 48.45/30.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1)))),
% 48.45/30.90 inference(quant_inst,[status(thm)],[])).
% 48.45/30.90 tff(8441,plain,
% 48.45/30.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1)),
% 48.45/30.91 inference(modus_ponens,[status(thm)],[8440, 8439])).
% 48.45/30.91 tff(8442,plain,
% 48.45/30.91 ((~v121(constB61, bitIndex1)) | v124(constB61, bitIndex1)),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8441, 233, 8330])).
% 48.45/30.91 tff(8443,plain,
% 48.45/30.91 (~v121(constB61, bitIndex1)),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8442, 8435])).
% 48.45/30.91 tff(8444,plain,
% 48.45/30.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1)))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8445,plain,
% 48.45/30.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1)))),
% 48.45/30.91 inference(quant_inst,[status(thm)],[])).
% 48.45/30.91 tff(8446,plain,
% 48.45/30.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1))),
% 48.45/30.91 inference(modus_ponens,[status(thm)],[8445, 8444])).
% 48.45/30.91 tff(8447,plain,
% 48.45/30.91 (v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1))),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8446, 254, 8348])).
% 48.45/30.91 tff(8448,plain,
% 48.45/30.91 (~v123(constB62, bitIndex1)),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8447, 8443])).
% 48.45/30.91 tff(8449,plain,
% 48.45/30.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8450,plain,
% 48.45/30.91 (((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1)) <=> ((~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8451,plain,
% 48.45/30.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62))))),
% 48.45/30.91 inference(monotonicity,[status(thm)],[8450])).
% 48.45/30.91 tff(8452,plain,
% 48.45/30.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))),
% 48.45/30.91 inference(transitivity,[status(thm)],[8451, 8449])).
% 48.45/30.91 tff(8453,plain,
% 48.45/30.91 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1))),
% 48.45/30.91 inference(quant_inst,[status(thm)],[])).
% 48.45/30.91 tff(8454,plain,
% 48.45/30.91 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62))),
% 48.45/30.91 inference(modus_ponens,[status(thm)],[8453, 8452])).
% 48.45/30.91 tff(8455,plain,
% 48.45/30.91 ((~v84(constB62, bitIndex1)) | (~v94(constB62))),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8454, 532, 8448])).
% 48.45/30.91 tff(8456,plain,
% 48.45/30.91 (~v84(constB62, bitIndex1)),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8455, 8382])).
% 48.45/30.91 tff(8457,plain,
% 48.45/30.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8458,plain,
% 48.45/30.91 (((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1))) <=> (v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8459,plain,
% 48.45/30.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1))))),
% 48.45/30.91 inference(monotonicity,[status(thm)],[8458])).
% 48.45/30.91 tff(8460,plain,
% 48.45/30.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 48.45/30.91 inference(transitivity,[status(thm)],[8459, 8457])).
% 48.45/30.91 tff(8461,plain,
% 48.45/30.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 48.45/30.91 inference(quant_inst,[status(thm)],[])).
% 48.45/30.91 tff(8462,plain,
% 48.45/30.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1))),
% 48.45/30.91 inference(modus_ponens,[status(thm)],[8461, 8460])).
% 48.45/30.91 tff(8463,plain,
% 48.45/30.91 (v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1))),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8462, 163, 8410])).
% 48.45/30.91 tff(8464,plain,
% 48.45/30.91 (v84(constB62, bitIndex1) | (~v84(constB63, bitIndex1))),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8463, 8422])).
% 48.45/30.91 tff(8465,plain,
% 48.45/30.91 (~v84(constB63, bitIndex1)),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8464, 8456])).
% 48.45/30.91 tff(8466,plain,
% 48.45/30.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB61)) | (~v124(constB61, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB61)) | (~v124(constB61, bitIndex0)))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8467,plain,
% 48.45/30.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB61)) | (~v124(constB61, bitIndex0)))),
% 48.45/30.91 inference(quant_inst,[status(thm)],[])).
% 48.45/30.91 tff(8468,plain,
% 48.45/30.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB61)) | (~v124(constB61, bitIndex0))),
% 48.45/30.91 inference(modus_ponens,[status(thm)],[8467, 8466])).
% 48.45/30.91 tff(8469,plain,
% 48.45/30.91 (~v124(constB61, bitIndex0)),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8468, 2020, 8301])).
% 48.45/30.91 tff(8470,plain,
% 48.45/30.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB61, bitIndex0)) | v26(constB61) | v124(constB61, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB61, bitIndex0)) | v26(constB61) | v124(constB61, bitIndex0))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8471,plain,
% 48.45/30.91 ((v26(constB61) | v124(constB61, bitIndex0) | (~v121(constB61, bitIndex0))) <=> ((~v121(constB61, bitIndex0)) | v26(constB61) | v124(constB61, bitIndex0))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8472,plain,
% 48.45/30.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB61) | v124(constB61, bitIndex0) | (~v121(constB61, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB61, bitIndex0)) | v26(constB61) | v124(constB61, bitIndex0)))),
% 48.45/30.91 inference(monotonicity,[status(thm)],[8471])).
% 48.45/30.91 tff(8473,plain,
% 48.45/30.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB61) | v124(constB61, bitIndex0) | (~v121(constB61, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB61, bitIndex0)) | v26(constB61) | v124(constB61, bitIndex0))),
% 48.45/30.91 inference(transitivity,[status(thm)],[8472, 8470])).
% 48.45/30.91 tff(8474,plain,
% 48.45/30.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB61) | v124(constB61, bitIndex0) | (~v121(constB61, bitIndex0)))),
% 48.45/30.91 inference(quant_inst,[status(thm)],[])).
% 48.45/30.91 tff(8475,plain,
% 48.45/30.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB61, bitIndex0)) | v26(constB61) | v124(constB61, bitIndex0)),
% 48.45/30.91 inference(modus_ponens,[status(thm)],[8474, 8473])).
% 48.45/30.91 tff(8476,plain,
% 48.45/30.91 ((~v121(constB61, bitIndex0)) | v124(constB61, bitIndex0)),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8475, 607, 8330])).
% 48.45/30.91 tff(8477,plain,
% 48.45/30.91 (~v121(constB61, bitIndex0)),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8476, 8469])).
% 48.45/30.91 tff(8478,plain,
% 48.45/30.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex0) | (~v123(constB62, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex0) | (~v123(constB62, bitIndex0)))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8479,plain,
% 48.45/30.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex0) | (~v123(constB62, bitIndex0)))),
% 48.45/30.91 inference(quant_inst,[status(thm)],[])).
% 48.45/30.91 tff(8480,plain,
% 48.45/30.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex0) | (~v123(constB62, bitIndex0))),
% 48.45/30.91 inference(modus_ponens,[status(thm)],[8479, 8478])).
% 48.45/30.91 tff(8481,plain,
% 48.45/30.91 (v121(constB61, bitIndex0) | (~v123(constB62, bitIndex0))),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8480, 637, 8348])).
% 48.45/30.91 tff(8482,plain,
% 48.45/30.91 (~v123(constB62, bitIndex0)),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8481, 8477])).
% 48.45/30.91 tff(8483,plain,
% 48.45/30.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | v123(constB62, bitIndex0) | (~v94(constB62)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB62, bitIndex0)) | v123(constB62, bitIndex0) | (~v94(constB62)))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8484,plain,
% 48.45/30.91 (((~v84(constB62, bitIndex0)) | (~v94(constB62)) | v123(constB62, bitIndex0)) <=> ((~v84(constB62, bitIndex0)) | v123(constB62, bitIndex0) | (~v94(constB62)))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8485,plain,
% 48.45/30.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | (~v94(constB62)) | v123(constB62, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | v123(constB62, bitIndex0) | (~v94(constB62))))),
% 48.45/30.91 inference(monotonicity,[status(thm)],[8484])).
% 48.45/30.91 tff(8486,plain,
% 48.45/30.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | (~v94(constB62)) | v123(constB62, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB62, bitIndex0)) | v123(constB62, bitIndex0) | (~v94(constB62)))),
% 48.45/30.91 inference(transitivity,[status(thm)],[8485, 8483])).
% 48.45/30.91 tff(8487,plain,
% 48.45/30.91 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | (~v94(constB62)) | v123(constB62, bitIndex0))),
% 48.45/30.91 inference(quant_inst,[status(thm)],[])).
% 48.45/30.91 tff(8488,plain,
% 48.45/30.91 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB62, bitIndex0)) | v123(constB62, bitIndex0) | (~v94(constB62))),
% 48.45/30.91 inference(modus_ponens,[status(thm)],[8487, 8486])).
% 48.45/30.91 tff(8489,plain,
% 48.45/30.91 ((~v84(constB62, bitIndex0)) | (~v94(constB62))),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8488, 652, 8482])).
% 48.45/30.91 tff(8490,plain,
% 48.45/30.91 (~v84(constB62, bitIndex0)),
% 48.45/30.91 inference(unit_resolution,[status(thm)],[8489, 8382])).
% 48.45/30.91 tff(8491,plain,
% 48.45/30.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex0)))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8492,plain,
% 48.45/30.91 (((~nextState(constB62, constB63)) | v84(constB62, bitIndex0) | v94(constB63) | (~v84(constB63, bitIndex0))) <=> (v84(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex0)))),
% 48.45/30.91 inference(rewrite,[status(thm)],[])).
% 48.45/30.91 tff(8493,plain,
% 48.45/30.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex0) | v94(constB63) | (~v84(constB63, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex0))))),
% 48.45/30.91 inference(monotonicity,[status(thm)],[8492])).
% 48.45/30.91 tff(8494,plain,
% 48.45/30.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex0) | v94(constB63) | (~v84(constB63, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex0)))),
% 48.45/30.91 inference(transitivity,[status(thm)],[8493, 8491])).
% 48.45/30.91 tff(8495,plain,
% 48.45/30.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex0) | v94(constB63) | (~v84(constB63, bitIndex0)))),
% 48.45/30.92 inference(quant_inst,[status(thm)],[])).
% 48.45/30.92 tff(8496,plain,
% 48.45/30.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex0))),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8495, 8494])).
% 48.45/30.92 tff(8497,plain,
% 48.45/30.92 (v84(constB62, bitIndex0) | v94(constB63) | (~v84(constB63, bitIndex0))),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8496, 184, 8410])).
% 48.45/30.92 tff(8498,plain,
% 48.45/30.92 (v84(constB62, bitIndex0) | (~v84(constB63, bitIndex0))),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8497, 8422])).
% 48.45/30.92 tff(8499,plain,
% 48.45/30.92 (~v84(constB63, bitIndex0)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8498, 8490])).
% 48.45/30.92 tff(8500,plain,
% 48.45/30.92 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v172(constB63))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v172(constB63))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8501,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v172(constB63))),
% 48.45/30.92 inference(quant_inst,[status(thm)],[])).
% 48.45/30.92 tff(8502,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v172(constB63)),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8501, 8500])).
% 48.45/30.92 tff(8503,plain,
% 48.45/30.92 (v172(constB63)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8502, 679, 8499, 8465, 8431])).
% 48.45/30.92 tff(8504,plain,
% 48.45/30.92 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB63) | (~v172(constB63)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB63) | (~v172(constB63)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8505,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB63) | (~v172(constB63)))),
% 48.45/30.92 inference(quant_inst,[status(thm)],[])).
% 48.45/30.92 tff(8506,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB63) | (~v172(constB63))),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8505, 8504])).
% 48.45/30.92 tff(8507,plain,
% 48.45/30.92 (v109(constB63)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8506, 740, 8503])).
% 48.45/30.92 tff(8508,plain,
% 48.45/30.92 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v109(constB63)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v109(constB63)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8509,plain,
% 48.45/30.92 (((~v109(constB63)) | v108(constB63)) <=> (v108(constB63) | (~v109(constB63)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8510,plain,
% 48.45/30.92 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v109(constB63))))),
% 48.45/30.92 inference(monotonicity,[status(thm)],[8509])).
% 48.45/30.92 tff(8511,plain,
% 48.45/30.92 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v109(constB63)))),
% 48.45/30.92 inference(transitivity,[status(thm)],[8510, 8508])).
% 48.45/30.92 tff(8512,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB63)) | v108(constB63))),
% 48.45/30.92 inference(quant_inst,[status(thm)],[])).
% 48.45/30.92 tff(8513,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v109(constB63))),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8512, 8511])).
% 48.45/30.92 tff(8514,plain,
% 48.45/30.92 (v108(constB63)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8513, 320, 8507])).
% 48.45/30.92 tff(8515,plain,
% 48.45/30.92 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB63) | (~v108(constB63)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB63) | (~v108(constB63)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8516,plain,
% 48.45/30.92 (((~v108(constB63)) | v107(constB63)) <=> (v107(constB63) | (~v108(constB63)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8517,plain,
% 48.45/30.92 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB63)) | v107(constB63))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB63) | (~v108(constB63))))),
% 48.45/30.92 inference(monotonicity,[status(thm)],[8516])).
% 48.45/30.92 tff(8518,plain,
% 48.45/30.92 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB63)) | v107(constB63))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB63) | (~v108(constB63)))),
% 48.45/30.92 inference(transitivity,[status(thm)],[8517, 8515])).
% 48.45/30.92 tff(8519,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB63)) | v107(constB63))),
% 48.45/30.92 inference(quant_inst,[status(thm)],[])).
% 48.45/30.92 tff(8520,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB63) | (~v108(constB63))),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8519, 8518])).
% 48.45/30.92 tff(8521,plain,
% 48.45/30.92 (v107(constB63)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8520, 334, 8514])).
% 48.45/30.92 tff(8522,assumption,(v26(constB63)), introduced(assumption)).
% 48.45/30.92 tff(8523,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 48.45/30.92 inference(quant_inst,[status(thm)],[])).
% 48.45/30.92 tff(8524,plain,
% 48.45/30.92 ($false),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8523, 55, 8522])).
% 48.45/30.92 tff(8525,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 48.45/30.92 tff(8526,plain,
% 48.45/30.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | (~v107(constB63)) | v106(constB63))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB63) | (~v107(constB63)) | v106(constB63))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8527,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | (~v107(constB63)) | v106(constB63))),
% 48.45/30.92 inference(quant_inst,[status(thm)],[])).
% 48.45/30.92 tff(8528,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB63) | (~v107(constB63)) | v106(constB63)),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8527, 8526])).
% 48.45/30.92 tff(8529,plain,
% 48.45/30.92 ((~v107(constB63)) | v106(constB63)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8528, 348, 8525])).
% 48.45/30.92 tff(8530,plain,
% 48.45/30.92 (v106(constB63)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8529, 8521])).
% 48.45/30.92 tff(8531,plain,
% 48.45/30.92 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB63) | (~v106(constB63)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB63) | (~v106(constB63)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8532,plain,
% 48.45/30.92 (((~v106(constB63)) | v102(constB63)) <=> (v102(constB63) | (~v106(constB63)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8533,plain,
% 48.45/30.92 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB63)) | v102(constB63))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB63) | (~v106(constB63))))),
% 48.45/30.92 inference(monotonicity,[status(thm)],[8532])).
% 48.45/30.92 tff(8534,plain,
% 48.45/30.92 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB63)) | v102(constB63))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB63) | (~v106(constB63)))),
% 48.45/30.92 inference(transitivity,[status(thm)],[8533, 8531])).
% 48.45/30.92 tff(8535,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB63)) | v102(constB63))),
% 48.45/30.92 inference(quant_inst,[status(thm)],[])).
% 48.45/30.92 tff(8536,plain,
% 48.45/30.92 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB63) | (~v106(constB63))),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8535, 8534])).
% 48.45/30.92 tff(8537,plain,
% 48.45/30.92 (v102(constB63)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8536, 504, 8530])).
% 48.45/30.92 tff(8538,plain,
% 48.45/30.92 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8539,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 48.45/30.92 tff(8540,plain,
% 48.45/30.92 (nextState(constB63, constB64)),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8539, 8538])).
% 48.45/30.92 tff(8541,plain,
% 48.45/30.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8542,plain,
% 48.45/30.92 (((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64)) <=> ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8543,plain,
% 48.45/30.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63))))),
% 48.45/30.92 inference(monotonicity,[status(thm)],[8542])).
% 48.45/30.92 tff(8544,plain,
% 48.45/30.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 48.45/30.92 inference(transitivity,[status(thm)],[8543, 8541])).
% 48.45/30.92 tff(8545,plain,
% 48.45/30.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))),
% 48.45/30.92 inference(quant_inst,[status(thm)],[])).
% 48.45/30.92 tff(8546,plain,
% 48.45/30.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63))),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8545, 8544])).
% 48.45/30.92 tff(8547,plain,
% 48.45/30.92 (v104(constB64) | (~v102(constB63))),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8546, 489, 8540])).
% 48.45/30.92 tff(8548,plain,
% 48.45/30.92 (v104(constB64)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8547, 8537])).
% 48.45/30.92 tff(8549,plain,
% 48.45/30.92 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8550,plain,
% 48.45/30.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))),
% 48.45/30.92 inference(quant_inst,[status(thm)],[])).
% 48.45/30.92 tff(8551,plain,
% 48.45/30.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64))),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8550, 8549])).
% 48.45/30.92 tff(8552,plain,
% 48.45/30.92 (~v98(constB64)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8551, 423, 8540, 8407])).
% 48.45/30.92 tff(8553,plain,
% 48.45/30.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8554,plain,
% 48.45/30.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))),
% 48.45/30.92 inference(quant_inst,[status(thm)],[])).
% 48.45/30.92 tff(8555,plain,
% 48.45/30.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB63, constB64)) | v96(constB64) | v98(constB64)),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8554, 8553])).
% 48.45/30.92 tff(8556,plain,
% 48.45/30.92 (v96(constB64) | v98(constB64)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8555, 437, 8540])).
% 48.45/30.92 tff(8557,plain,
% 48.45/30.92 (v96(constB64)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8556, 8552])).
% 48.45/30.92 tff(8558,plain,
% 48.45/30.92 (v1(constB64) <=> v1(constB64)),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8559,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 48.45/30.92 tff(8560,plain,
% 48.45/30.92 (v1(constB64)),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8559, 8558])).
% 48.45/30.92 tff(8561,plain,
% 48.45/30.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8562,plain,
% 48.45/30.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))),
% 48.45/30.92 inference(quant_inst,[status(thm)],[])).
% 48.45/30.92 tff(8563,plain,
% 48.45/30.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64))),
% 48.45/30.92 inference(modus_ponens,[status(thm)],[8562, 8561])).
% 48.45/30.92 tff(8564,plain,
% 48.45/30.92 (v95(constB64) | (~v96(constB64))),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8563, 455, 8540, 8560])).
% 48.45/30.92 tff(8565,plain,
% 48.45/30.92 (v95(constB64)),
% 48.45/30.92 inference(unit_resolution,[status(thm)],[8564, 8557])).
% 48.45/30.92 tff(8566,plain,
% 48.45/30.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8567,plain,
% 48.45/30.92 (((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64)) <=> ((~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))),
% 48.45/30.92 inference(rewrite,[status(thm)],[])).
% 48.45/30.92 tff(8568,plain,
% 48.45/30.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64))))),
% 48.45/30.92 inference(monotonicity,[status(thm)],[8567])).
% 48.45/30.92 tff(8569,plain,
% 48.45/30.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))),
% 48.45/30.93 inference(transitivity,[status(thm)],[8568, 8566])).
% 48.45/30.93 tff(8570,plain,
% 48.45/30.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))),
% 48.45/30.93 inference(quant_inst,[status(thm)],[])).
% 48.45/30.93 tff(8571,plain,
% 48.45/30.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64))),
% 48.45/30.93 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 48.45/30.93 tff(8572,plain,
% 48.45/30.93 (v94(constB64) | (~v95(constB64)) | (~v104(constB64))),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8571, 470, 8540])).
% 48.45/30.93 tff(8573,plain,
% 48.45/30.93 (v94(constB64) | (~v104(constB64))),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8572, 8565])).
% 48.45/30.93 tff(8574,plain,
% 48.45/30.93 (v94(constB64)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8573, 8548])).
% 48.45/30.93 tff(8575,plain,
% 48.45/30.93 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB63)) | v124(constB63, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB63)) | v124(constB63, bitIndex2))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8576,plain,
% 48.45/30.93 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB63)) | v124(constB63, bitIndex2))),
% 48.45/30.93 inference(quant_inst,[status(thm)],[])).
% 48.45/30.93 tff(8577,plain,
% 48.45/30.93 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB63)) | v124(constB63, bitIndex2)),
% 48.45/30.93 inference(modus_ponens,[status(thm)],[8576, 8575])).
% 48.45/30.93 tff(8578,plain,
% 48.45/30.93 (v124(constB63, bitIndex2)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8577, 691, 8503])).
% 48.45/30.93 tff(8579,plain,
% 48.45/30.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB63) | (~v124(constB63, bitIndex2)) | v121(constB63, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB63) | (~v124(constB63, bitIndex2)) | v121(constB63, bitIndex2))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8580,plain,
% 48.45/30.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB63) | (~v124(constB63, bitIndex2)) | v121(constB63, bitIndex2))),
% 48.45/30.93 inference(quant_inst,[status(thm)],[])).
% 48.45/30.93 tff(8581,plain,
% 48.45/30.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB63) | (~v124(constB63, bitIndex2)) | v121(constB63, bitIndex2)),
% 48.45/30.93 inference(modus_ponens,[status(thm)],[8580, 8579])).
% 48.45/30.93 tff(8582,plain,
% 48.45/30.93 ((~v124(constB63, bitIndex2)) | v121(constB63, bitIndex2)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8581, 374, 8525])).
% 48.45/30.93 tff(8583,plain,
% 48.45/30.93 (v121(constB63, bitIndex2)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8582, 8578])).
% 48.45/30.93 tff(8584,plain,
% 48.45/30.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v121(constB63, bitIndex2)) | v123(constB64, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v121(constB63, bitIndex2)) | v123(constB64, bitIndex2))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8585,plain,
% 48.45/30.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v121(constB63, bitIndex2)) | v123(constB64, bitIndex2))),
% 48.45/30.93 inference(quant_inst,[status(thm)],[])).
% 48.45/30.93 tff(8586,plain,
% 48.45/30.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v121(constB63, bitIndex2)) | v123(constB64, bitIndex2)),
% 48.45/30.93 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 48.45/30.93 tff(8587,plain,
% 48.45/30.93 ((~v121(constB63, bitIndex2)) | v123(constB64, bitIndex2)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8586, 389, 8540])).
% 48.45/30.93 tff(8588,plain,
% 48.45/30.93 (v123(constB64, bitIndex2)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8587, 8583])).
% 48.45/30.93 tff(8589,plain,
% 48.45/30.93 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)) | (~v94(constB64)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)) | (~v94(constB64)))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8590,plain,
% 48.45/30.93 ((v84(constB64, bitIndex2) | (~v94(constB64)) | (~v123(constB64, bitIndex2))) <=> (v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)) | (~v94(constB64)))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8591,plain,
% 48.45/30.93 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~v94(constB64)) | (~v123(constB64, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)) | (~v94(constB64))))),
% 48.45/30.93 inference(monotonicity,[status(thm)],[8590])).
% 48.45/30.93 tff(8592,plain,
% 48.45/30.93 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~v94(constB64)) | (~v123(constB64, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)) | (~v94(constB64)))),
% 48.45/30.93 inference(transitivity,[status(thm)],[8591, 8589])).
% 48.45/30.93 tff(8593,plain,
% 48.45/30.93 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~v94(constB64)) | (~v123(constB64, bitIndex2)))),
% 48.45/30.93 inference(quant_inst,[status(thm)],[])).
% 48.45/30.93 tff(8594,plain,
% 48.45/30.93 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)) | (~v94(constB64))),
% 48.45/30.93 inference(modus_ponens,[status(thm)],[8593, 8592])).
% 48.45/30.93 tff(8595,plain,
% 48.45/30.93 (v84(constB64, bitIndex2) | (~v94(constB64))),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8594, 405, 8588])).
% 48.45/30.93 tff(8596,plain,
% 48.45/30.93 (v84(constB64, bitIndex2)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8595, 8574])).
% 48.45/30.93 tff(8597,plain,
% 48.45/30.93 ((~v1(constB65)) <=> (~v1(constB65))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8598,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 48.45/30.93 tff(8599,plain,
% 48.45/30.93 (~v1(constB65)),
% 48.45/30.93 inference(modus_ponens,[status(thm)],[8598, 8597])).
% 48.45/30.93 tff(8600,plain,
% 48.45/30.93 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8601,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 48.45/30.93 tff(8602,plain,
% 48.45/30.93 (nextState(constB64, constB65)),
% 48.45/30.93 inference(modus_ponens,[status(thm)],[8601, 8600])).
% 48.45/30.93 tff(8603,plain,
% 48.45/30.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8604,plain,
% 48.45/30.93 (((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8605,plain,
% 48.45/30.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65))))),
% 48.45/30.93 inference(monotonicity,[status(thm)],[8604])).
% 48.45/30.93 tff(8606,plain,
% 48.45/30.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 48.45/30.93 inference(transitivity,[status(thm)],[8605, 8603])).
% 48.45/30.93 tff(8607,plain,
% 48.45/30.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))),
% 48.45/30.93 inference(quant_inst,[status(thm)],[])).
% 48.45/30.93 tff(8608,plain,
% 48.45/30.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65))),
% 48.45/30.93 inference(modus_ponens,[status(thm)],[8607, 8606])).
% 48.45/30.93 tff(8609,plain,
% 48.45/30.93 (~v95(constB65)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8608, 110, 8602, 8599])).
% 48.45/30.93 tff(8610,plain,
% 48.45/30.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8611,plain,
% 48.45/30.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))),
% 48.45/30.93 inference(quant_inst,[status(thm)],[])).
% 48.45/30.93 tff(8612,plain,
% 48.45/30.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65))),
% 48.45/30.93 inference(modus_ponens,[status(thm)],[8611, 8610])).
% 48.45/30.93 tff(8613,plain,
% 48.45/30.93 (v95(constB65) | (~v94(constB65))),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8612, 127, 8602])).
% 48.45/30.93 tff(8614,plain,
% 48.45/30.93 (~v94(constB65)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8613, 8609])).
% 48.45/30.93 tff(8615,plain,
% 48.45/30.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex2))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8616,plain,
% 48.45/30.93 (((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex2)) | v94(constB65) | v84(constB65, bitIndex2)) <=> ((~v84(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex2))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8617,plain,
% 48.45/30.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex2)) | v94(constB65) | v84(constB65, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex2)))),
% 48.45/30.93 inference(monotonicity,[status(thm)],[8616])).
% 48.45/30.93 tff(8618,plain,
% 48.45/30.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex2)) | v94(constB65) | v84(constB65, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex2))),
% 48.45/30.93 inference(transitivity,[status(thm)],[8617, 8615])).
% 48.45/30.93 tff(8619,plain,
% 48.45/30.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex2)) | v94(constB65) | v84(constB65, bitIndex2))),
% 48.45/30.93 inference(quant_inst,[status(thm)],[])).
% 48.45/30.93 tff(8620,plain,
% 48.45/30.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex2)),
% 48.45/30.93 inference(modus_ponens,[status(thm)],[8619, 8618])).
% 48.45/30.93 tff(8621,plain,
% 48.45/30.93 ((~v84(constB64, bitIndex2)) | v94(constB65) | v84(constB65, bitIndex2)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8620, 576, 8602])).
% 48.45/30.93 tff(8622,plain,
% 48.45/30.93 ((~v84(constB64, bitIndex2)) | v84(constB65, bitIndex2)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8621, 8614])).
% 48.45/30.93 tff(8623,plain,
% 48.45/30.93 (v84(constB65, bitIndex2)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8622, 8596])).
% 48.45/30.93 tff(8624,plain,
% 48.45/30.93 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB63)) | v124(constB63, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB63)) | v124(constB63, bitIndex1))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8625,plain,
% 48.45/30.93 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB63)) | v124(constB63, bitIndex1))),
% 48.45/30.93 inference(quant_inst,[status(thm)],[])).
% 48.45/30.93 tff(8626,plain,
% 48.45/30.93 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB63)) | v124(constB63, bitIndex1)),
% 48.45/30.93 inference(modus_ponens,[status(thm)],[8625, 8624])).
% 48.45/30.93 tff(8627,plain,
% 48.45/30.93 (v124(constB63, bitIndex1)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8626, 843, 8503])).
% 48.45/30.93 tff(8628,plain,
% 48.45/30.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1))),
% 48.45/30.93 inference(rewrite,[status(thm)],[])).
% 48.45/30.93 tff(8629,plain,
% 48.45/30.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1))),
% 48.45/30.93 inference(quant_inst,[status(thm)],[])).
% 48.45/30.93 tff(8630,plain,
% 48.45/30.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1)),
% 48.45/30.93 inference(modus_ponens,[status(thm)],[8629, 8628])).
% 48.45/30.93 tff(8631,plain,
% 48.45/30.93 ((~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8630, 857, 8525])).
% 48.45/30.93 tff(8632,plain,
% 48.45/30.93 (v121(constB63, bitIndex1)),
% 48.45/30.93 inference(unit_resolution,[status(thm)],[8631, 8627])).
% 48.45/30.93 tff(8633,plain,
% 48.45/30.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1))),
% 48.45/30.94 inference(rewrite,[status(thm)],[])).
% 48.45/30.94 tff(8634,plain,
% 48.45/30.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1))),
% 48.45/30.94 inference(quant_inst,[status(thm)],[])).
% 48.45/30.94 tff(8635,plain,
% 48.45/30.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1)),
% 48.45/30.94 inference(modus_ponens,[status(thm)],[8634, 8633])).
% 48.45/30.94 tff(8636,plain,
% 48.45/30.94 ((~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1)),
% 48.45/30.94 inference(unit_resolution,[status(thm)],[8635, 872, 8540])).
% 48.45/30.94 tff(8637,plain,
% 48.45/30.94 (v123(constB64, bitIndex1)),
% 48.45/30.94 inference(unit_resolution,[status(thm)],[8636, 8632])).
% 48.45/30.94 tff(8638,plain,
% 48.45/30.94 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))),
% 48.45/30.94 inference(rewrite,[status(thm)],[])).
% 48.45/30.94 tff(8639,plain,
% 48.45/30.94 ((v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1))) <=> (v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))),
% 48.45/30.94 inference(rewrite,[status(thm)],[])).
% 48.45/30.94 tff(8640,plain,
% 48.45/30.94 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64))))),
% 48.45/30.94 inference(monotonicity,[status(thm)],[8639])).
% 48.45/30.94 tff(8641,plain,
% 48.45/30.94 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))),
% 48.45/30.94 inference(transitivity,[status(thm)],[8640, 8638])).
% 48.45/30.94 tff(8642,plain,
% 48.45/30.94 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1)))),
% 48.45/30.94 inference(quant_inst,[status(thm)],[])).
% 48.45/30.94 tff(8643,plain,
% 48.45/30.94 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64))),
% 48.45/30.94 inference(modus_ponens,[status(thm)],[8642, 8641])).
% 48.45/30.94 tff(8644,plain,
% 48.45/30.94 (v84(constB64, bitIndex1) | (~v94(constB64))),
% 48.45/30.94 inference(unit_resolution,[status(thm)],[8643, 887, 8637])).
% 48.45/30.94 tff(8645,plain,
% 48.45/30.94 (v84(constB64, bitIndex1)),
% 48.45/30.94 inference(unit_resolution,[status(thm)],[8644, 8574])).
% 48.45/30.94 tff(8646,plain,
% 48.45/30.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))),
% 48.45/30.94 inference(rewrite,[status(thm)],[])).
% 48.45/30.94 tff(8647,plain,
% 48.45/30.94 (((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1)) <=> ((~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))),
% 48.45/30.94 inference(rewrite,[status(thm)],[])).
% 48.45/30.94 tff(8648,plain,
% 48.45/30.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1)))),
% 48.45/30.94 inference(monotonicity,[status(thm)],[8647])).
% 48.45/30.94 tff(8649,plain,
% 48.45/30.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))),
% 48.45/30.94 inference(transitivity,[status(thm)],[8648, 8646])).
% 48.45/30.94 tff(8650,plain,
% 48.45/30.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1))),
% 48.45/30.94 inference(quant_inst,[status(thm)],[])).
% 48.45/30.94 tff(8651,plain,
% 48.45/30.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1)),
% 48.45/30.94 inference(modus_ponens,[status(thm)],[8650, 8649])).
% 48.45/30.94 tff(8652,plain,
% 48.45/30.94 ((~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1)),
% 48.45/30.94 inference(unit_resolution,[status(thm)],[8651, 905, 8602])).
% 48.45/30.94 tff(8653,plain,
% 48.45/30.94 ((~v84(constB64, bitIndex1)) | v84(constB65, bitIndex1)),
% 48.45/30.94 inference(unit_resolution,[status(thm)],[8652, 8614])).
% 48.45/30.94 tff(8654,plain,
% 48.45/30.94 (v84(constB65, bitIndex1)),
% 48.45/30.94 inference(unit_resolution,[status(thm)],[8653, 8645])).
% 48.45/30.94 tff(8655,plain,
% 48.45/30.94 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB63)) | (~v124(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB63)) | (~v124(constB63, bitIndex0)))),
% 48.45/30.94 inference(rewrite,[status(thm)],[])).
% 48.45/30.94 tff(8656,plain,
% 48.45/30.94 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB63)) | (~v124(constB63, bitIndex0)))),
% 48.45/30.94 inference(quant_inst,[status(thm)],[])).
% 48.45/30.94 tff(8657,plain,
% 48.45/30.94 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB63)) | (~v124(constB63, bitIndex0))),
% 48.45/30.94 inference(modus_ponens,[status(thm)],[8656, 8655])).
% 48.45/30.94 tff(8658,plain,
% 48.45/30.94 (~v124(constB63, bitIndex0)),
% 48.45/30.94 inference(unit_resolution,[status(thm)],[8657, 921, 8503])).
% 48.45/30.94 tff(8659,plain,
% 48.45/30.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))),
% 48.45/30.94 inference(rewrite,[status(thm)],[])).
% 48.45/30.94 tff(8660,plain,
% 48.45/30.94 ((v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0))) <=> ((~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))),
% 48.45/30.94 inference(rewrite,[status(thm)],[])).
% 48.45/30.94 tff(8661,plain,
% 48.45/30.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0)))),
% 48.45/30.94 inference(monotonicity,[status(thm)],[8660])).
% 48.45/30.94 tff(8662,plain,
% 48.45/30.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))),
% 48.45/30.94 inference(transitivity,[status(thm)],[8661, 8659])).
% 48.45/30.94 tff(8663,plain,
% 48.45/30.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))),
% 48.45/30.94 inference(quant_inst,[status(thm)],[])).
% 48.45/30.94 tff(8664,plain,
% 48.45/30.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0)),
% 48.45/30.94 inference(modus_ponens,[status(thm)],[8663, 8662])).
% 48.45/30.94 tff(8665,plain,
% 48.45/30.94 ((~v121(constB63, bitIndex0)) | v124(constB63, bitIndex0)),
% 48.45/30.94 inference(unit_resolution,[status(thm)],[8664, 607, 8525])).
% 48.45/30.94 tff(8666,plain,
% 48.45/30.94 (~v121(constB63, bitIndex0)),
% 48.45/30.94 inference(unit_resolution,[status(thm)],[8665, 8658])).
% 48.45/30.94 tff(8667,plain,
% 48.45/30.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0)))),
% 48.45/30.94 inference(rewrite,[status(thm)],[])).
% 48.45/30.94 tff(8668,plain,
% 48.45/30.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0)))),
% 48.45/30.94 inference(quant_inst,[status(thm)],[])).
% 48.45/30.94 tff(8669,plain,
% 48.45/30.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0))),
% 48.45/30.94 inference(modus_ponens,[status(thm)],[8668, 8667])).
% 48.45/30.94 tff(8670,plain,
% 48.45/30.94 (v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0))),
% 48.45/30.94 inference(unit_resolution,[status(thm)],[8669, 637, 8540])).
% 48.45/30.94 tff(8671,plain,
% 48.45/30.94 (~v123(constB64, bitIndex0)),
% 48.45/30.94 inference(unit_resolution,[status(thm)],[8670, 8666])).
% 48.45/30.94 tff(8672,plain,
% 48.45/30.94 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))),
% 48.45/30.94 inference(rewrite,[status(thm)],[])).
% 48.45/30.94 tff(8673,plain,
% 48.45/30.94 (((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0)) <=> ((~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))),
% 48.45/30.94 inference(rewrite,[status(thm)],[])).
% 48.45/30.94 tff(8674,plain,
% 48.45/30.94 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64))))),
% 48.45/30.95 inference(monotonicity,[status(thm)],[8673])).
% 48.45/30.95 tff(8675,plain,
% 48.45/30.95 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))),
% 48.45/30.95 inference(transitivity,[status(thm)],[8674, 8672])).
% 48.45/30.95 tff(8676,plain,
% 48.45/30.95 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8677,plain,
% 48.45/30.95 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64))),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8676, 8675])).
% 48.45/30.95 tff(8678,plain,
% 48.45/30.95 ((~v84(constB64, bitIndex0)) | (~v94(constB64))),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8677, 652, 8671])).
% 48.45/30.95 tff(8679,plain,
% 48.45/30.95 (~v84(constB64, bitIndex0)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8678, 8574])).
% 48.45/30.95 tff(8680,plain,
% 48.45/30.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8681,plain,
% 48.45/30.95 (((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0))) <=> (v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8682,plain,
% 48.45/30.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0))))),
% 48.45/30.95 inference(monotonicity,[status(thm)],[8681])).
% 48.45/30.95 tff(8683,plain,
% 48.45/30.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 48.45/30.95 inference(transitivity,[status(thm)],[8682, 8680])).
% 48.45/30.95 tff(8684,plain,
% 48.45/30.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8685,plain,
% 48.45/30.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0))),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8684, 8683])).
% 48.45/30.95 tff(8686,plain,
% 48.45/30.95 (v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0))),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8685, 184, 8602])).
% 48.45/30.95 tff(8687,plain,
% 48.45/30.95 (v84(constB64, bitIndex0) | (~v84(constB65, bitIndex0))),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8686, 8614])).
% 48.45/30.95 tff(8688,plain,
% 48.45/30.95 (~v84(constB65, bitIndex0)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8687, 8679])).
% 48.45/30.95 tff(8689,plain,
% 48.45/30.95 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | (~v84(constB65, bitIndex2)) | v119(constB65))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | (~v84(constB65, bitIndex2)) | v119(constB65))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8690,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | (~v84(constB65, bitIndex2)) | v119(constB65))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8691,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | (~v84(constB65, bitIndex2)) | v119(constB65)),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8690, 8689])).
% 48.45/30.95 tff(8692,plain,
% 48.45/30.95 (v119(constB65)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8691, 965, 8688, 8654, 8623])).
% 48.45/30.95 tff(8693,plain,
% 48.45/30.95 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB65)) | v107(constB65))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB65)) | v107(constB65))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8694,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB65)) | v107(constB65))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8695,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB65)) | v107(constB65)),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8694, 8693])).
% 48.45/30.95 tff(8696,plain,
% 48.45/30.95 (v107(constB65)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8695, 976, 8692])).
% 48.45/30.95 tff(8697,assumption,(v26(constB65)), introduced(assumption)).
% 48.45/30.95 tff(8698,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8699,plain,
% 48.45/30.95 ($false),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8698, 55, 8697])).
% 48.45/30.95 tff(8700,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 48.45/30.95 tff(8701,plain,
% 48.45/30.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB65) | (~v107(constB65)) | v106(constB65))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB65) | (~v107(constB65)) | v106(constB65))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8702,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB65) | (~v107(constB65)) | v106(constB65))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8703,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB65) | (~v107(constB65)) | v106(constB65)),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8702, 8701])).
% 48.45/30.95 tff(8704,plain,
% 48.45/30.95 ((~v107(constB65)) | v106(constB65)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8703, 348, 8700])).
% 48.45/30.95 tff(8705,plain,
% 48.45/30.95 (v106(constB65)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8704, 8696])).
% 48.45/30.95 tff(8706,plain,
% 48.45/30.95 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB65) | (~v106(constB65)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB65) | (~v106(constB65)))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8707,plain,
% 48.45/30.95 (((~v106(constB65)) | v102(constB65)) <=> (v102(constB65) | (~v106(constB65)))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8708,plain,
% 48.45/30.95 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB65)) | v102(constB65))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB65) | (~v106(constB65))))),
% 48.45/30.95 inference(monotonicity,[status(thm)],[8707])).
% 48.45/30.95 tff(8709,plain,
% 48.45/30.95 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB65)) | v102(constB65))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB65) | (~v106(constB65)))),
% 48.45/30.95 inference(transitivity,[status(thm)],[8708, 8706])).
% 48.45/30.95 tff(8710,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB65)) | v102(constB65))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8711,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB65) | (~v106(constB65))),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8710, 8709])).
% 48.45/30.95 tff(8712,plain,
% 48.45/30.95 (v102(constB65)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8711, 504, 8705])).
% 48.45/30.95 tff(8713,plain,
% 48.45/30.95 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8714,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 48.45/30.95 tff(8715,plain,
% 48.45/30.95 (nextState(constB65, constB66)),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8714, 8713])).
% 48.45/30.95 tff(8716,plain,
% 48.45/30.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8717,plain,
% 48.45/30.95 (((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66)) <=> ((~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8718,plain,
% 48.45/30.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65))))),
% 48.45/30.95 inference(monotonicity,[status(thm)],[8717])).
% 48.45/30.95 tff(8719,plain,
% 48.45/30.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))),
% 48.45/30.95 inference(transitivity,[status(thm)],[8718, 8716])).
% 48.45/30.95 tff(8720,plain,
% 48.45/30.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8721,plain,
% 48.45/30.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65))),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8720, 8719])).
% 48.45/30.95 tff(8722,plain,
% 48.45/30.95 (v104(constB66) | (~v102(constB65))),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8721, 489, 8715])).
% 48.45/30.95 tff(8723,plain,
% 48.45/30.95 (v104(constB66)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8722, 8712])).
% 48.45/30.95 tff(8724,plain,
% 48.45/30.95 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66)))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8725,plain,
% 48.45/30.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66)))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8726,plain,
% 48.45/30.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66))),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8725, 8724])).
% 48.45/30.95 tff(8727,plain,
% 48.45/30.95 (~v98(constB66)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8726, 423, 8715, 8599])).
% 48.45/30.95 tff(8728,plain,
% 48.45/30.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB65, constB66)) | v96(constB66) | v98(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB65, constB66)) | v96(constB66) | v98(constB66))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8729,plain,
% 48.45/30.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB65, constB66)) | v96(constB66) | v98(constB66))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8730,plain,
% 48.45/30.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB65, constB66)) | v96(constB66) | v98(constB66)),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8729, 8728])).
% 48.45/30.95 tff(8731,plain,
% 48.45/30.95 (v96(constB66) | v98(constB66)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8730, 437, 8715])).
% 48.45/30.95 tff(8732,plain,
% 48.45/30.95 (v96(constB66)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8731, 8727])).
% 48.45/30.95 tff(8733,plain,
% 48.45/30.95 (v1(constB66) <=> v1(constB66)),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8734,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 48.45/30.95 tff(8735,plain,
% 48.45/30.95 (v1(constB66)),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8734, 8733])).
% 48.45/30.95 tff(8736,plain,
% 48.45/30.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66)))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8737,plain,
% 48.45/30.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66)))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8738,plain,
% 48.45/30.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66))),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8737, 8736])).
% 48.45/30.95 tff(8739,plain,
% 48.45/30.95 (v95(constB66) | (~v96(constB66))),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8738, 455, 8715, 8735])).
% 48.45/30.95 tff(8740,plain,
% 48.45/30.95 (v95(constB66)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8739, 8732])).
% 48.45/30.95 tff(8741,plain,
% 48.45/30.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8742,plain,
% 48.45/30.95 (((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66)) <=> ((~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8743,plain,
% 48.45/30.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66))))),
% 48.45/30.95 inference(monotonicity,[status(thm)],[8742])).
% 48.45/30.95 tff(8744,plain,
% 48.45/30.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))),
% 48.45/30.95 inference(transitivity,[status(thm)],[8743, 8741])).
% 48.45/30.95 tff(8745,plain,
% 48.45/30.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8746,plain,
% 48.45/30.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66))),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 48.45/30.95 tff(8747,plain,
% 48.45/30.95 (v94(constB66) | (~v95(constB66)) | (~v104(constB66))),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8746, 470, 8715])).
% 48.45/30.95 tff(8748,plain,
% 48.45/30.95 (v94(constB66) | (~v104(constB66))),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8747, 8740])).
% 48.45/30.95 tff(8749,plain,
% 48.45/30.95 (v94(constB66)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8748, 8723])).
% 48.45/30.95 tff(8750,plain,
% 48.45/30.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB65)) | (~v84(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB65)) | (~v84(constB65, bitIndex2)))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8751,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB65)) | (~v84(constB65, bitIndex2)))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8752,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB65)) | (~v84(constB65, bitIndex2))),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8751, 8750])).
% 48.45/30.95 tff(8753,plain,
% 48.45/30.95 (~v115(constB65)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8752, 1036, 8623])).
% 48.45/30.95 tff(8754,plain,
% 48.45/30.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB65)) | (~v84(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB65)) | (~v84(constB65, bitIndex2)))),
% 48.45/30.95 inference(rewrite,[status(thm)],[])).
% 48.45/30.95 tff(8755,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB65)) | (~v84(constB65, bitIndex2)))),
% 48.45/30.95 inference(quant_inst,[status(thm)],[])).
% 48.45/30.95 tff(8756,plain,
% 48.45/30.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB65)) | (~v84(constB65, bitIndex2))),
% 48.45/30.95 inference(modus_ponens,[status(thm)],[8755, 8754])).
% 48.45/30.95 tff(8757,plain,
% 48.45/30.95 (~v116(constB65)),
% 48.45/30.95 inference(unit_resolution,[status(thm)],[8756, 1047, 8623])).
% 48.45/30.95 tff(8758,plain,
% 48.45/30.95 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB65)) | (~v84(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB65)) | (~v84(constB65, bitIndex1)))),
% 48.45/30.96 inference(rewrite,[status(thm)],[])).
% 48.45/30.96 tff(8759,plain,
% 48.45/30.96 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB65)) | (~v84(constB65, bitIndex1)))),
% 48.45/30.96 inference(quant_inst,[status(thm)],[])).
% 48.45/30.96 tff(8760,plain,
% 48.45/30.96 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB65)) | (~v84(constB65, bitIndex1))),
% 48.45/30.96 inference(modus_ponens,[status(thm)],[8759, 8758])).
% 48.45/30.96 tff(8761,plain,
% 48.45/30.96 (~v113(constB65)),
% 48.45/30.96 inference(unit_resolution,[status(thm)],[8760, 1058, 8654])).
% 48.45/30.96 tff(8762,plain,
% 48.45/30.96 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB65)) | (~v84(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB65)) | (~v84(constB65, bitIndex1)))),
% 48.45/30.96 inference(rewrite,[status(thm)],[])).
% 48.45/30.96 tff(8763,plain,
% 48.45/30.96 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB65)) | (~v84(constB65, bitIndex1)))),
% 48.45/30.96 inference(quant_inst,[status(thm)],[])).
% 48.45/30.96 tff(8764,plain,
% 48.45/30.96 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB65)) | (~v84(constB65, bitIndex1))),
% 48.45/30.96 inference(modus_ponens,[status(thm)],[8763, 8762])).
% 48.45/30.96 tff(8765,plain,
% 48.45/30.96 (~v118(constB65)),
% 48.45/30.96 inference(unit_resolution,[status(thm)],[8764, 1069, 8654])).
% 48.45/30.96 tff(8766,plain,
% 48.45/30.96 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB65)) | (~v84(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB65)) | (~v84(constB65, bitIndex1)))),
% 48.45/30.96 inference(rewrite,[status(thm)],[])).
% 48.45/30.96 tff(8767,plain,
% 48.45/30.96 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB65)) | (~v84(constB65, bitIndex1)))),
% 48.45/30.96 inference(quant_inst,[status(thm)],[])).
% 48.45/30.96 tff(8768,plain,
% 48.45/30.96 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB65)) | (~v84(constB65, bitIndex1))),
% 48.45/30.96 inference(modus_ponens,[status(thm)],[8767, 8766])).
% 48.45/30.96 tff(8769,plain,
% 48.45/30.96 (~v172(constB65)),
% 48.45/30.96 inference(unit_resolution,[status(thm)],[8768, 1080, 8654])).
% 48.45/30.96 tff(8770,plain,
% 48.45/30.96 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB65)) | (~v84(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB65)) | (~v84(constB65, bitIndex1)))),
% 48.45/30.96 inference(rewrite,[status(thm)],[])).
% 48.45/30.96 tff(8771,plain,
% 48.45/30.96 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB65)) | (~v84(constB65, bitIndex1)))),
% 48.45/30.96 inference(quant_inst,[status(thm)],[])).
% 48.45/30.96 tff(8772,plain,
% 48.45/30.96 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB65)) | (~v84(constB65, bitIndex1))),
% 48.45/30.96 inference(modus_ponens,[status(thm)],[8771, 8770])).
% 48.45/30.96 tff(8773,plain,
% 48.45/30.96 (~v145(constB65)),
% 48.45/30.96 inference(unit_resolution,[status(thm)],[8772, 1091, 8654])).
% 48.45/30.96 tff(8774,plain,
% 48.45/30.96 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex2)))),
% 48.45/30.96 inference(rewrite,[status(thm)],[])).
% 48.45/30.96 tff(8775,plain,
% 48.45/30.96 ((v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex2))) <=> (v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex2)))),
% 48.45/30.96 inference(rewrite,[status(thm)],[])).
% 48.45/30.96 tff(8776,plain,
% 48.45/30.96 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex2))))),
% 48.45/30.96 inference(monotonicity,[status(thm)],[8775])).
% 48.45/30.96 tff(8777,plain,
% 48.45/30.96 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex2)))),
% 48.45/30.96 inference(transitivity,[status(thm)],[8776, 8774])).
% 48.45/30.96 tff(8778,plain,
% 48.45/30.96 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex2)))),
% 48.45/30.96 inference(quant_inst,[status(thm)],[])).
% 48.45/30.96 tff(8779,plain,
% 48.45/30.96 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex2))),
% 48.45/30.96 inference(modus_ponens,[status(thm)],[8778, 8777])).
% 48.45/30.96 tff(8780,plain,
% 48.45/30.96 (~v124(constB65, bitIndex2)),
% 48.45/30.96 inference(unit_resolution,[status(thm)],[8779, 1170, 8773, 8769, 8765, 8761, 8757, 8753])).
% 48.45/30.96 tff(8781,plain,
% 48.45/30.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))),
% 48.45/30.96 inference(rewrite,[status(thm)],[])).
% 48.45/30.96 tff(8782,plain,
% 48.45/30.96 ((v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2))) <=> ((~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))),
% 48.45/30.96 inference(rewrite,[status(thm)],[])).
% 48.45/30.96 tff(8783,plain,
% 48.45/30.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2)))),
% 48.45/30.96 inference(monotonicity,[status(thm)],[8782])).
% 48.45/30.96 tff(8784,plain,
% 48.45/30.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))),
% 48.45/30.96 inference(transitivity,[status(thm)],[8783, 8781])).
% 48.45/30.96 tff(8785,plain,
% 48.45/30.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2)))),
% 48.45/30.96 inference(quant_inst,[status(thm)],[])).
% 48.45/30.96 tff(8786,plain,
% 48.45/30.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2)),
% 48.45/30.96 inference(modus_ponens,[status(thm)],[8785, 8784])).
% 48.45/30.96 tff(8787,plain,
% 48.45/30.96 ((~v121(constB65, bitIndex2)) | v124(constB65, bitIndex2)),
% 48.45/30.96 inference(unit_resolution,[status(thm)],[8786, 1187, 8700])).
% 48.45/30.96 tff(8788,plain,
% 48.45/30.96 (~v121(constB65, bitIndex2)),
% 48.45/30.96 inference(unit_resolution,[status(thm)],[8787, 8780])).
% 48.45/30.96 tff(8789,plain,
% 48.45/30.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2)))),
% 48.45/30.96 inference(rewrite,[status(thm)],[])).
% 48.45/30.96 tff(8790,plain,
% 48.45/30.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2)))),
% 48.45/30.96 inference(quant_inst,[status(thm)],[])).
% 48.45/30.96 tff(8791,plain,
% 48.45/30.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2))),
% 48.45/30.96 inference(modus_ponens,[status(thm)],[8790, 8789])).
% 48.45/30.96 tff(8792,plain,
% 48.45/30.96 (v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2))),
% 48.45/30.96 inference(unit_resolution,[status(thm)],[8791, 1205, 8715])).
% 48.45/30.96 tff(8793,plain,
% 48.45/30.96 (~v123(constB66, bitIndex2)),
% 48.45/30.96 inference(unit_resolution,[status(thm)],[8792, 8788])).
% 48.45/30.96 tff(8794,plain,
% 48.45/30.96 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))),
% 48.45/30.96 inference(rewrite,[status(thm)],[])).
% 48.45/30.96 tff(8795,plain,
% 48.45/30.96 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))),
% 48.45/30.96 inference(quant_inst,[status(thm)],[])).
% 48.45/30.96 tff(8796,plain,
% 48.45/30.96 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66))),
% 48.45/30.96 inference(modus_ponens,[status(thm)],[8795, 8794])).
% 48.45/30.96 tff(8797,plain,
% 48.45/30.96 ((~v84(constB66, bitIndex2)) | (~v94(constB66))),
% 48.45/30.96 inference(unit_resolution,[status(thm)],[8796, 1220, 8793])).
% 48.45/30.96 tff(8798,plain,
% 48.45/30.96 (~v84(constB66, bitIndex2)),
% 48.45/30.96 inference(unit_resolution,[status(thm)],[8797, 8749])).
% 48.45/30.96 tff(8799,plain,
% 48.45/30.96 ((~v1(constB67)) <=> (~v1(constB67))),
% 48.45/30.96 inference(rewrite,[status(thm)],[])).
% 48.45/30.96 tff(8800,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 48.45/30.96 tff(8801,plain,
% 48.45/30.96 (~v1(constB67)),
% 48.45/30.96 inference(modus_ponens,[status(thm)],[8800, 8799])).
% 48.45/30.96 tff(8802,plain,
% 48.45/30.96 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 48.45/30.96 inference(rewrite,[status(thm)],[])).
% 48.45/30.96 tff(8803,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 48.45/30.96 tff(8804,plain,
% 48.45/30.96 (nextState(constB66, constB67)),
% 48.45/30.96 inference(modus_ponens,[status(thm)],[8803, 8802])).
% 48.45/30.96 tff(8805,plain,
% 48.45/30.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 48.45/30.97 inference(rewrite,[status(thm)],[])).
% 48.45/30.97 tff(8806,plain,
% 48.45/30.97 (((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 48.45/30.97 inference(rewrite,[status(thm)],[])).
% 48.45/30.97 tff(8807,plain,
% 48.45/30.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67))))),
% 48.45/30.97 inference(monotonicity,[status(thm)],[8806])).
% 48.45/30.97 tff(8808,plain,
% 48.45/30.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 48.45/30.97 inference(transitivity,[status(thm)],[8807, 8805])).
% 48.45/30.97 tff(8809,plain,
% 48.45/30.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))),
% 48.45/30.97 inference(quant_inst,[status(thm)],[])).
% 48.45/30.97 tff(8810,plain,
% 48.45/30.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67))),
% 48.45/30.97 inference(modus_ponens,[status(thm)],[8809, 8808])).
% 48.45/30.97 tff(8811,plain,
% 48.45/30.97 (~v95(constB67)),
% 48.45/30.97 inference(unit_resolution,[status(thm)],[8810, 110, 8804, 8801])).
% 48.45/30.97 tff(8812,plain,
% 48.45/30.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))),
% 48.45/30.97 inference(rewrite,[status(thm)],[])).
% 48.45/30.97 tff(8813,plain,
% 48.45/30.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))),
% 48.45/30.97 inference(quant_inst,[status(thm)],[])).
% 48.45/30.97 tff(8814,plain,
% 48.45/30.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67))),
% 48.45/30.97 inference(modus_ponens,[status(thm)],[8813, 8812])).
% 48.45/30.97 tff(8815,plain,
% 48.45/30.97 (v95(constB67) | (~v94(constB67))),
% 48.45/30.97 inference(unit_resolution,[status(thm)],[8814, 127, 8804])).
% 48.45/30.97 tff(8816,plain,
% 48.45/30.97 (~v94(constB67)),
% 48.45/30.97 inference(unit_resolution,[status(thm)],[8815, 8811])).
% 48.45/30.97 tff(8817,plain,
% 48.45/30.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 48.45/30.97 inference(rewrite,[status(thm)],[])).
% 48.45/30.97 tff(8818,plain,
% 48.45/30.97 (((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2))) <=> (v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 48.45/30.97 inference(rewrite,[status(thm)],[])).
% 48.45/30.97 tff(8819,plain,
% 48.45/30.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2))))),
% 48.45/30.97 inference(monotonicity,[status(thm)],[8818])).
% 48.45/30.97 tff(8820,plain,
% 48.45/30.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 48.45/30.97 inference(transitivity,[status(thm)],[8819, 8817])).
% 48.45/30.97 tff(8821,plain,
% 48.45/30.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 48.45/30.97 inference(quant_inst,[status(thm)],[])).
% 48.45/30.97 tff(8822,plain,
% 48.45/30.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2))),
% 48.45/30.97 inference(modus_ponens,[status(thm)],[8821, 8820])).
% 48.45/30.97 tff(8823,plain,
% 48.45/30.97 (v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2))),
% 48.45/30.97 inference(unit_resolution,[status(thm)],[8822, 142, 8804])).
% 48.45/30.97 tff(8824,plain,
% 48.45/30.97 (v84(constB66, bitIndex2) | (~v84(constB67, bitIndex2))),
% 48.45/30.97 inference(unit_resolution,[status(thm)],[8823, 8816])).
% 48.45/30.97 tff(8825,plain,
% 48.45/30.97 (~v84(constB67, bitIndex2)),
% 48.45/30.97 inference(unit_resolution,[status(thm)],[8824, 8798])).
% 48.45/30.97 tff(8826,plain,
% 48.45/30.97 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex1)))),
% 48.45/30.97 inference(rewrite,[status(thm)],[])).
% 48.45/30.97 tff(8827,plain,
% 48.45/30.97 ((v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex1))) <=> (v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex1)))),
% 48.45/30.97 inference(rewrite,[status(thm)],[])).
% 48.45/30.97 tff(8828,plain,
% 48.45/30.97 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex1))))),
% 48.45/30.97 inference(monotonicity,[status(thm)],[8827])).
% 48.45/30.97 tff(8829,plain,
% 48.45/30.97 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex1)))),
% 48.45/30.97 inference(transitivity,[status(thm)],[8828, 8826])).
% 48.45/30.97 tff(8830,plain,
% 48.45/30.97 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex1)))),
% 48.45/30.97 inference(quant_inst,[status(thm)],[])).
% 48.45/30.97 tff(8831,plain,
% 48.45/30.97 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex1))),
% 48.45/30.97 inference(modus_ponens,[status(thm)],[8830, 8829])).
% 48.45/30.97 tff(8832,plain,
% 48.45/30.97 (~v124(constB65, bitIndex1)),
% 48.45/30.97 inference(unit_resolution,[status(thm)],[8831, 1105, 8773, 8769, 8765, 8761, 8757, 8753])).
% 48.45/30.97 tff(8833,plain,
% 48.45/30.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB65, bitIndex1)) | v26(constB65) | v124(constB65, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB65, bitIndex1)) | v26(constB65) | v124(constB65, bitIndex1))),
% 48.45/30.97 inference(rewrite,[status(thm)],[])).
% 48.45/30.97 tff(8834,plain,
% 48.45/30.97 ((v26(constB65) | v124(constB65, bitIndex1) | (~v121(constB65, bitIndex1))) <=> ((~v121(constB65, bitIndex1)) | v26(constB65) | v124(constB65, bitIndex1))),
% 48.45/30.97 inference(rewrite,[status(thm)],[])).
% 48.45/30.97 tff(8835,plain,
% 48.45/30.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB65) | v124(constB65, bitIndex1) | (~v121(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB65, bitIndex1)) | v26(constB65) | v124(constB65, bitIndex1)))),
% 48.45/30.97 inference(monotonicity,[status(thm)],[8834])).
% 48.45/30.97 tff(8836,plain,
% 48.45/30.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB65) | v124(constB65, bitIndex1) | (~v121(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB65, bitIndex1)) | v26(constB65) | v124(constB65, bitIndex1))),
% 48.45/30.97 inference(transitivity,[status(thm)],[8835, 8833])).
% 48.45/30.97 tff(8837,plain,
% 48.45/30.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB65) | v124(constB65, bitIndex1) | (~v121(constB65, bitIndex1)))),
% 48.45/30.97 inference(quant_inst,[status(thm)],[])).
% 48.45/30.97 tff(8838,plain,
% 48.45/30.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB65, bitIndex1)) | v26(constB65) | v124(constB65, bitIndex1)),
% 48.45/30.97 inference(modus_ponens,[status(thm)],[8837, 8836])).
% 48.45/30.97 tff(8839,plain,
% 48.45/30.97 ((~v121(constB65, bitIndex1)) | v124(constB65, bitIndex1)),
% 48.45/30.97 inference(unit_resolution,[status(thm)],[8838, 233, 8700])).
% 48.45/30.97 tff(8840,plain,
% 48.45/30.97 (~v121(constB65, bitIndex1)),
% 48.45/30.97 inference(unit_resolution,[status(thm)],[8839, 8832])).
% 48.45/30.97 tff(8841,plain,
% 48.45/30.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v121(constB65, bitIndex1) | (~v123(constB66, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v121(constB65, bitIndex1) | (~v123(constB66, bitIndex1)))),
% 48.45/30.97 inference(rewrite,[status(thm)],[])).
% 48.45/30.97 tff(8842,plain,
% 48.45/30.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v121(constB65, bitIndex1) | (~v123(constB66, bitIndex1)))),
% 48.53/30.97 inference(quant_inst,[status(thm)],[])).
% 48.53/30.97 tff(8843,plain,
% 48.53/30.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v121(constB65, bitIndex1) | (~v123(constB66, bitIndex1))),
% 48.53/30.97 inference(modus_ponens,[status(thm)],[8842, 8841])).
% 48.53/30.97 tff(8844,plain,
% 48.53/30.97 (v121(constB65, bitIndex1) | (~v123(constB66, bitIndex1))),
% 48.53/30.97 inference(unit_resolution,[status(thm)],[8843, 254, 8715])).
% 48.53/30.97 tff(8845,plain,
% 48.53/30.97 (~v123(constB66, bitIndex1)),
% 48.53/30.97 inference(unit_resolution,[status(thm)],[8844, 8840])).
% 48.53/30.97 tff(8846,plain,
% 48.53/30.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | v123(constB66, bitIndex1) | (~v94(constB66)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB66, bitIndex1)) | v123(constB66, bitIndex1) | (~v94(constB66)))),
% 48.53/30.97 inference(rewrite,[status(thm)],[])).
% 48.53/30.97 tff(8847,plain,
% 48.53/30.97 (((~v84(constB66, bitIndex1)) | (~v94(constB66)) | v123(constB66, bitIndex1)) <=> ((~v84(constB66, bitIndex1)) | v123(constB66, bitIndex1) | (~v94(constB66)))),
% 48.53/30.97 inference(rewrite,[status(thm)],[])).
% 48.53/30.97 tff(8848,plain,
% 48.53/30.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | (~v94(constB66)) | v123(constB66, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | v123(constB66, bitIndex1) | (~v94(constB66))))),
% 48.53/30.97 inference(monotonicity,[status(thm)],[8847])).
% 48.53/30.97 tff(8849,plain,
% 48.53/30.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | (~v94(constB66)) | v123(constB66, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB66, bitIndex1)) | v123(constB66, bitIndex1) | (~v94(constB66)))),
% 48.53/30.97 inference(transitivity,[status(thm)],[8848, 8846])).
% 48.53/30.97 tff(8850,plain,
% 48.53/30.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | (~v94(constB66)) | v123(constB66, bitIndex1))),
% 48.53/30.97 inference(quant_inst,[status(thm)],[])).
% 48.53/30.97 tff(8851,plain,
% 48.53/30.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB66, bitIndex1)) | v123(constB66, bitIndex1) | (~v94(constB66))),
% 48.53/30.97 inference(modus_ponens,[status(thm)],[8850, 8849])).
% 48.53/30.97 tff(8852,plain,
% 48.53/30.97 ((~v84(constB66, bitIndex1)) | (~v94(constB66))),
% 48.53/30.97 inference(unit_resolution,[status(thm)],[8851, 532, 8845])).
% 48.53/30.97 tff(8853,plain,
% 48.53/30.97 (~v84(constB66, bitIndex1)),
% 48.53/30.97 inference(unit_resolution,[status(thm)],[8852, 8749])).
% 48.53/30.97 tff(8854,plain,
% 48.53/30.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex1)))),
% 48.53/30.97 inference(rewrite,[status(thm)],[])).
% 48.53/30.97 tff(8855,plain,
% 48.53/30.97 (((~nextState(constB66, constB67)) | v84(constB66, bitIndex1) | v94(constB67) | (~v84(constB67, bitIndex1))) <=> (v84(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex1)))),
% 48.53/30.97 inference(rewrite,[status(thm)],[])).
% 48.53/30.97 tff(8856,plain,
% 48.53/30.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex1) | v94(constB67) | (~v84(constB67, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex1))))),
% 48.53/30.98 inference(monotonicity,[status(thm)],[8855])).
% 48.53/30.98 tff(8857,plain,
% 48.53/30.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex1) | v94(constB67) | (~v84(constB67, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex1)))),
% 48.53/30.98 inference(transitivity,[status(thm)],[8856, 8854])).
% 48.53/30.98 tff(8858,plain,
% 48.53/30.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex1) | v94(constB67) | (~v84(constB67, bitIndex1)))),
% 48.53/30.98 inference(quant_inst,[status(thm)],[])).
% 48.53/30.98 tff(8859,plain,
% 48.53/30.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex1))),
% 48.53/30.98 inference(modus_ponens,[status(thm)],[8858, 8857])).
% 48.53/30.98 tff(8860,plain,
% 48.53/30.98 (v84(constB66, bitIndex1) | v94(constB67) | (~v84(constB67, bitIndex1))),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8859, 163, 8804])).
% 48.53/30.98 tff(8861,plain,
% 48.53/30.98 (v84(constB66, bitIndex1) | (~v84(constB67, bitIndex1))),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8860, 8816])).
% 48.53/30.98 tff(8862,plain,
% 48.53/30.98 (~v84(constB67, bitIndex1)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8861, 8853])).
% 48.53/30.98 tff(8863,plain,
% 48.53/30.98 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB65) | v124(constB65, bitIndex0) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB65) | v124(constB65, bitIndex0) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65))),
% 48.53/30.98 inference(rewrite,[status(thm)],[])).
% 48.53/30.98 tff(8864,plain,
% 48.53/30.98 ((v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | v124(constB65, bitIndex0)) <=> (v145(constB65) | v124(constB65, bitIndex0) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65))),
% 48.53/30.98 inference(rewrite,[status(thm)],[])).
% 48.53/30.98 tff(8865,plain,
% 48.53/30.98 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | v124(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB65) | v124(constB65, bitIndex0) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65)))),
% 48.53/30.98 inference(monotonicity,[status(thm)],[8864])).
% 48.53/30.98 tff(8866,plain,
% 48.53/30.98 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | v124(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB65) | v124(constB65, bitIndex0) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65))),
% 48.53/30.98 inference(transitivity,[status(thm)],[8865, 8863])).
% 48.53/30.98 tff(8867,plain,
% 48.53/30.98 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | v124(constB65, bitIndex0))),
% 48.53/30.98 inference(quant_inst,[status(thm)],[])).
% 48.53/30.98 tff(8868,plain,
% 48.53/30.98 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB65) | v124(constB65, bitIndex0) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65)),
% 48.53/30.98 inference(modus_ponens,[status(thm)],[8867, 8866])).
% 48.53/30.98 tff(8869,plain,
% 48.53/30.98 (v124(constB65, bitIndex0)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8868, 1374, 8773, 8769, 8765, 8761, 8757, 8753])).
% 48.53/30.98 tff(8870,plain,
% 48.53/30.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0))),
% 48.53/30.98 inference(rewrite,[status(thm)],[])).
% 48.53/30.98 tff(8871,plain,
% 48.53/30.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0))),
% 48.53/30.98 inference(quant_inst,[status(thm)],[])).
% 48.53/30.98 tff(8872,plain,
% 48.53/30.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0)),
% 48.53/30.98 inference(modus_ponens,[status(thm)],[8871, 8870])).
% 48.53/30.98 tff(8873,plain,
% 48.53/30.98 ((~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8872, 1391, 8700])).
% 48.53/30.98 tff(8874,plain,
% 48.53/30.98 (v121(constB65, bitIndex0)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8873, 8869])).
% 48.53/30.98 tff(8875,plain,
% 48.53/30.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0))),
% 48.53/30.98 inference(rewrite,[status(thm)],[])).
% 48.53/30.98 tff(8876,plain,
% 48.53/30.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0))),
% 48.53/30.98 inference(quant_inst,[status(thm)],[])).
% 48.53/30.98 tff(8877,plain,
% 48.53/30.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0)),
% 48.53/30.98 inference(modus_ponens,[status(thm)],[8876, 8875])).
% 48.53/30.98 tff(8878,plain,
% 48.53/30.98 ((~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8877, 1406, 8715])).
% 48.53/30.98 tff(8879,plain,
% 48.53/30.98 (v123(constB66, bitIndex0)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8878, 8874])).
% 48.53/30.98 tff(8880,plain,
% 48.53/30.98 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))),
% 48.53/30.98 inference(rewrite,[status(thm)],[])).
% 48.53/30.98 tff(8881,plain,
% 48.53/30.98 ((v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0))) <=> (v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))),
% 48.53/30.98 inference(rewrite,[status(thm)],[])).
% 48.53/30.98 tff(8882,plain,
% 48.53/30.98 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66))))),
% 48.53/30.98 inference(monotonicity,[status(thm)],[8881])).
% 48.53/30.98 tff(8883,plain,
% 48.53/30.98 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))),
% 48.53/30.98 inference(transitivity,[status(thm)],[8882, 8880])).
% 48.53/30.98 tff(8884,plain,
% 48.53/30.98 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0)))),
% 48.53/30.98 inference(quant_inst,[status(thm)],[])).
% 48.53/30.98 tff(8885,plain,
% 48.53/30.98 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66))),
% 48.53/30.98 inference(modus_ponens,[status(thm)],[8884, 8883])).
% 48.53/30.98 tff(8886,plain,
% 48.53/30.98 (v84(constB66, bitIndex0) | (~v94(constB66))),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8885, 1421, 8879])).
% 48.53/30.98 tff(8887,plain,
% 48.53/30.98 (v84(constB66, bitIndex0)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8886, 8749])).
% 48.53/30.98 tff(8888,plain,
% 48.53/30.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))),
% 48.53/30.98 inference(rewrite,[status(thm)],[])).
% 48.53/30.98 tff(8889,plain,
% 48.53/30.98 (((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0)) <=> ((~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))),
% 48.53/30.98 inference(rewrite,[status(thm)],[])).
% 48.53/30.98 tff(8890,plain,
% 48.53/30.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0)))),
% 48.53/30.98 inference(monotonicity,[status(thm)],[8889])).
% 48.53/30.98 tff(8891,plain,
% 48.53/30.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))),
% 48.53/30.98 inference(transitivity,[status(thm)],[8890, 8888])).
% 48.53/30.98 tff(8892,plain,
% 48.53/30.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0))),
% 48.53/30.98 inference(quant_inst,[status(thm)],[])).
% 48.53/30.98 tff(8893,plain,
% 48.53/30.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0)),
% 48.53/30.98 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 48.53/30.98 tff(8894,plain,
% 48.53/30.98 ((~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8893, 1439, 8804])).
% 48.53/30.98 tff(8895,plain,
% 48.53/30.98 ((~v84(constB66, bitIndex0)) | v84(constB67, bitIndex0)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8894, 8816])).
% 48.53/30.98 tff(8896,plain,
% 48.53/30.98 (v84(constB67, bitIndex0)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8895, 8887])).
% 48.53/30.98 tff(8897,plain,
% 48.53/30.98 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB67, bitIndex0)) | v84(constB67, bitIndex1) | v84(constB67, bitIndex2) | v145(constB67))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB67, bitIndex0)) | v84(constB67, bitIndex1) | v84(constB67, bitIndex2) | v145(constB67))),
% 48.53/30.98 inference(rewrite,[status(thm)],[])).
% 48.53/30.98 tff(8898,plain,
% 48.53/30.98 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB67, bitIndex0)) | v84(constB67, bitIndex1) | v84(constB67, bitIndex2) | v145(constB67))),
% 48.53/30.98 inference(quant_inst,[status(thm)],[])).
% 48.53/30.98 tff(8899,plain,
% 48.53/30.98 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB67, bitIndex0)) | v84(constB67, bitIndex1) | v84(constB67, bitIndex2) | v145(constB67)),
% 48.53/30.98 inference(modus_ponens,[status(thm)],[8898, 8897])).
% 48.53/30.98 tff(8900,plain,
% 48.53/30.98 (v145(constB67)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8899, 1268, 8896, 8862, 8825])).
% 48.53/30.98 tff(8901,plain,
% 48.53/30.98 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB67) | (~v145(constB67)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB67) | (~v145(constB67)))),
% 48.53/30.98 inference(rewrite,[status(thm)],[])).
% 48.53/30.98 tff(8902,plain,
% 48.53/30.98 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB67) | (~v145(constB67)))),
% 48.53/30.98 inference(quant_inst,[status(thm)],[])).
% 48.53/30.98 tff(8903,plain,
% 48.53/30.98 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB67) | (~v145(constB67))),
% 48.53/30.98 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 48.53/30.98 tff(8904,plain,
% 48.53/30.98 (v112(constB67)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8903, 1253, 8900])).
% 48.53/30.98 tff(8905,plain,
% 48.53/30.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB67)) | v111(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB67)) | v111(constB67))),
% 48.53/30.98 inference(rewrite,[status(thm)],[])).
% 48.53/30.98 tff(8906,plain,
% 48.53/30.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB67)) | v111(constB67))),
% 48.53/30.98 inference(quant_inst,[status(thm)],[])).
% 48.53/30.98 tff(8907,plain,
% 48.53/30.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB67)) | v111(constB67)),
% 48.53/30.98 inference(modus_ponens,[status(thm)],[8906, 8905])).
% 48.53/30.98 tff(8908,plain,
% 48.53/30.98 (v111(constB67)),
% 48.53/30.98 inference(unit_resolution,[status(thm)],[8907, 278, 8904])).
% 48.53/30.98 tff(8909,plain,
% 48.53/30.98 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB67) | (~v111(constB67)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB67) | (~v111(constB67)))),
% 48.53/30.98 inference(rewrite,[status(thm)],[])).
% 48.53/30.98 tff(8910,plain,
% 48.53/30.98 (((~v111(constB67)) | v110(constB67)) <=> (v110(constB67) | (~v111(constB67)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8911,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB67)) | v110(constB67))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB67) | (~v111(constB67))))),
% 48.53/30.99 inference(monotonicity,[status(thm)],[8910])).
% 48.53/30.99 tff(8912,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB67)) | v110(constB67))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB67) | (~v111(constB67)))),
% 48.53/30.99 inference(transitivity,[status(thm)],[8911, 8909])).
% 48.53/30.99 tff(8913,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB67)) | v110(constB67))),
% 48.53/30.99 inference(quant_inst,[status(thm)],[])).
% 48.53/30.99 tff(8914,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB67) | (~v111(constB67))),
% 48.53/30.99 inference(modus_ponens,[status(thm)],[8913, 8912])).
% 48.53/30.99 tff(8915,plain,
% 48.53/30.99 (v110(constB67)),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8914, 292, 8908])).
% 48.53/30.99 tff(8916,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB67) | (~v110(constB67)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB67) | (~v110(constB67)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8917,plain,
% 48.53/30.99 (((~v110(constB67)) | v109(constB67)) <=> (v109(constB67) | (~v110(constB67)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8918,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB67)) | v109(constB67))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB67) | (~v110(constB67))))),
% 48.53/30.99 inference(monotonicity,[status(thm)],[8917])).
% 48.53/30.99 tff(8919,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB67)) | v109(constB67))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB67) | (~v110(constB67)))),
% 48.53/30.99 inference(transitivity,[status(thm)],[8918, 8916])).
% 48.53/30.99 tff(8920,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB67)) | v109(constB67))),
% 48.53/30.99 inference(quant_inst,[status(thm)],[])).
% 48.53/30.99 tff(8921,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB67) | (~v110(constB67))),
% 48.53/30.99 inference(modus_ponens,[status(thm)],[8920, 8919])).
% 48.53/30.99 tff(8922,plain,
% 48.53/30.99 (v109(constB67)),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8921, 306, 8915])).
% 48.53/30.99 tff(8923,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB67)) | v108(constB67))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8924,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB67)) | v108(constB67))),
% 48.53/30.99 inference(quant_inst,[status(thm)],[])).
% 48.53/30.99 tff(8925,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB67)) | v108(constB67)),
% 48.53/30.99 inference(modus_ponens,[status(thm)],[8924, 8923])).
% 48.53/30.99 tff(8926,plain,
% 48.53/30.99 (v108(constB67)),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8925, 320, 8922])).
% 48.53/30.99 tff(8927,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB67) | (~v108(constB67)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB67) | (~v108(constB67)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8928,plain,
% 48.53/30.99 (((~v108(constB67)) | v107(constB67)) <=> (v107(constB67) | (~v108(constB67)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8929,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB67)) | v107(constB67))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB67) | (~v108(constB67))))),
% 48.53/30.99 inference(monotonicity,[status(thm)],[8928])).
% 48.53/30.99 tff(8930,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB67)) | v107(constB67))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB67) | (~v108(constB67)))),
% 48.53/30.99 inference(transitivity,[status(thm)],[8929, 8927])).
% 48.53/30.99 tff(8931,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB67)) | v107(constB67))),
% 48.53/30.99 inference(quant_inst,[status(thm)],[])).
% 48.53/30.99 tff(8932,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB67) | (~v108(constB67))),
% 48.53/30.99 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 48.53/30.99 tff(8933,plain,
% 48.53/30.99 (v107(constB67)),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8932, 334, 8926])).
% 48.53/30.99 tff(8934,assumption,(v26(constB67)), introduced(assumption)).
% 48.53/30.99 tff(8935,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 48.53/30.99 inference(quant_inst,[status(thm)],[])).
% 48.53/30.99 tff(8936,plain,
% 48.53/30.99 ($false),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8935, 55, 8934])).
% 48.53/30.99 tff(8937,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 48.53/30.99 tff(8938,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB67) | (~v107(constB67)) | v106(constB67))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB67) | (~v107(constB67)) | v106(constB67))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8939,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB67) | (~v107(constB67)) | v106(constB67))),
% 48.53/30.99 inference(quant_inst,[status(thm)],[])).
% 48.53/30.99 tff(8940,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB67) | (~v107(constB67)) | v106(constB67)),
% 48.53/30.99 inference(modus_ponens,[status(thm)],[8939, 8938])).
% 48.53/30.99 tff(8941,plain,
% 48.53/30.99 ((~v107(constB67)) | v106(constB67)),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8940, 348, 8937])).
% 48.53/30.99 tff(8942,plain,
% 48.53/30.99 (v106(constB67)),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8941, 8933])).
% 48.53/30.99 tff(8943,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB67) | (~v106(constB67)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB67) | (~v106(constB67)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8944,plain,
% 48.53/30.99 (((~v106(constB67)) | v102(constB67)) <=> (v102(constB67) | (~v106(constB67)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8945,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB67)) | v102(constB67))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB67) | (~v106(constB67))))),
% 48.53/30.99 inference(monotonicity,[status(thm)],[8944])).
% 48.53/30.99 tff(8946,plain,
% 48.53/30.99 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB67)) | v102(constB67))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB67) | (~v106(constB67)))),
% 48.53/30.99 inference(transitivity,[status(thm)],[8945, 8943])).
% 48.53/30.99 tff(8947,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB67)) | v102(constB67))),
% 48.53/30.99 inference(quant_inst,[status(thm)],[])).
% 48.53/30.99 tff(8948,plain,
% 48.53/30.99 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB67) | (~v106(constB67))),
% 48.53/30.99 inference(modus_ponens,[status(thm)],[8947, 8946])).
% 48.53/30.99 tff(8949,plain,
% 48.53/30.99 (v102(constB67)),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8948, 504, 8942])).
% 48.53/30.99 tff(8950,plain,
% 48.53/30.99 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8951,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 48.53/30.99 tff(8952,plain,
% 48.53/30.99 (nextState(constB67, constB68)),
% 48.53/30.99 inference(modus_ponens,[status(thm)],[8951, 8950])).
% 48.53/30.99 tff(8953,plain,
% 48.53/30.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8954,plain,
% 48.53/30.99 (((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68)) <=> ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8955,plain,
% 48.53/30.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67))))),
% 48.53/30.99 inference(monotonicity,[status(thm)],[8954])).
% 48.53/30.99 tff(8956,plain,
% 48.53/30.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 48.53/30.99 inference(transitivity,[status(thm)],[8955, 8953])).
% 48.53/30.99 tff(8957,plain,
% 48.53/30.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))),
% 48.53/30.99 inference(quant_inst,[status(thm)],[])).
% 48.53/30.99 tff(8958,plain,
% 48.53/30.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67))),
% 48.53/30.99 inference(modus_ponens,[status(thm)],[8957, 8956])).
% 48.53/30.99 tff(8959,plain,
% 48.53/30.99 (v104(constB68) | (~v102(constB67))),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8958, 489, 8952])).
% 48.53/30.99 tff(8960,plain,
% 48.53/30.99 (v104(constB68)),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8959, 8949])).
% 48.53/30.99 tff(8961,plain,
% 48.53/30.99 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8962,plain,
% 48.53/30.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))),
% 48.53/30.99 inference(quant_inst,[status(thm)],[])).
% 48.53/30.99 tff(8963,plain,
% 48.53/30.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68))),
% 48.53/30.99 inference(modus_ponens,[status(thm)],[8962, 8961])).
% 48.53/30.99 tff(8964,plain,
% 48.53/30.99 (~v98(constB68)),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8963, 423, 8952, 8801])).
% 48.53/30.99 tff(8965,plain,
% 48.53/30.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8966,plain,
% 48.53/30.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))),
% 48.53/30.99 inference(quant_inst,[status(thm)],[])).
% 48.53/30.99 tff(8967,plain,
% 48.53/30.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB67, constB68)) | v96(constB68) | v98(constB68)),
% 48.53/30.99 inference(modus_ponens,[status(thm)],[8966, 8965])).
% 48.53/30.99 tff(8968,plain,
% 48.53/30.99 (v96(constB68) | v98(constB68)),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8967, 437, 8952])).
% 48.53/30.99 tff(8969,plain,
% 48.53/30.99 (v96(constB68)),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8968, 8964])).
% 48.53/30.99 tff(8970,plain,
% 48.53/30.99 (v1(constB68) <=> v1(constB68)),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8971,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 48.53/30.99 tff(8972,plain,
% 48.53/30.99 (v1(constB68)),
% 48.53/30.99 inference(modus_ponens,[status(thm)],[8971, 8970])).
% 48.53/30.99 tff(8973,plain,
% 48.53/30.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8974,plain,
% 48.53/30.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))),
% 48.53/30.99 inference(quant_inst,[status(thm)],[])).
% 48.53/30.99 tff(8975,plain,
% 48.53/30.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68))),
% 48.53/30.99 inference(modus_ponens,[status(thm)],[8974, 8973])).
% 48.53/30.99 tff(8976,plain,
% 48.53/30.99 (v95(constB68) | (~v96(constB68))),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8975, 455, 8952, 8972])).
% 48.53/30.99 tff(8977,plain,
% 48.53/30.99 (v95(constB68)),
% 48.53/30.99 inference(unit_resolution,[status(thm)],[8976, 8969])).
% 48.53/30.99 tff(8978,plain,
% 48.53/30.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8979,plain,
% 48.53/30.99 (((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68)) <=> ((~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))),
% 48.53/30.99 inference(rewrite,[status(thm)],[])).
% 48.53/30.99 tff(8980,plain,
% 48.53/30.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68))))),
% 48.53/30.99 inference(monotonicity,[status(thm)],[8979])).
% 48.53/30.99 tff(8981,plain,
% 48.53/30.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))),
% 48.53/30.99 inference(transitivity,[status(thm)],[8980, 8978])).
% 48.53/30.99 tff(8982,plain,
% 48.53/30.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))),
% 48.53/30.99 inference(quant_inst,[status(thm)],[])).
% 48.53/30.99 tff(8983,plain,
% 48.53/30.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68))),
% 48.53/31.00 inference(modus_ponens,[status(thm)],[8982, 8981])).
% 48.53/31.00 tff(8984,plain,
% 48.53/31.00 (v94(constB68) | (~v95(constB68)) | (~v104(constB68))),
% 48.53/31.00 inference(unit_resolution,[status(thm)],[8983, 470, 8952])).
% 48.53/31.00 tff(8985,plain,
% 48.53/31.00 (v94(constB68) | (~v104(constB68))),
% 48.53/31.00 inference(unit_resolution,[status(thm)],[8984, 8977])).
% 48.53/31.00 tff(8986,plain,
% 48.53/31.00 (v94(constB68)),
% 48.53/31.00 inference(unit_resolution,[status(thm)],[8985, 8960])).
% 48.53/31.00 tff(8987,plain,
% 48.53/31.00 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB67)) | (~v124(constB67, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB67)) | (~v124(constB67, bitIndex2)))),
% 48.53/31.00 inference(rewrite,[status(thm)],[])).
% 48.53/31.00 tff(8988,plain,
% 48.53/31.00 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB67)) | (~v124(constB67, bitIndex2)))),
% 48.53/31.00 inference(quant_inst,[status(thm)],[])).
% 48.53/31.00 tff(8989,plain,
% 48.53/31.00 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB67)) | (~v124(constB67, bitIndex2))),
% 48.53/31.00 inference(modus_ponens,[status(thm)],[8988, 8987])).
% 48.53/31.00 tff(8990,plain,
% 48.53/31.00 (~v124(constB67, bitIndex2)),
% 48.53/31.00 inference(unit_resolution,[status(thm)],[8989, 1456, 8900])).
% 48.53/31.00 tff(8991,plain,
% 48.53/31.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB67, bitIndex2)) | v26(constB67) | v124(constB67, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB67, bitIndex2)) | v26(constB67) | v124(constB67, bitIndex2))),
% 48.53/31.00 inference(rewrite,[status(thm)],[])).
% 48.53/31.00 tff(8992,plain,
% 48.53/31.00 ((v26(constB67) | v124(constB67, bitIndex2) | (~v121(constB67, bitIndex2))) <=> ((~v121(constB67, bitIndex2)) | v26(constB67) | v124(constB67, bitIndex2))),
% 48.53/31.00 inference(rewrite,[status(thm)],[])).
% 48.53/31.00 tff(8993,plain,
% 48.53/31.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB67) | v124(constB67, bitIndex2) | (~v121(constB67, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB67, bitIndex2)) | v26(constB67) | v124(constB67, bitIndex2)))),
% 48.53/31.00 inference(monotonicity,[status(thm)],[8992])).
% 48.53/31.00 tff(8994,plain,
% 48.53/31.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB67) | v124(constB67, bitIndex2) | (~v121(constB67, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB67, bitIndex2)) | v26(constB67) | v124(constB67, bitIndex2))),
% 48.53/31.00 inference(transitivity,[status(thm)],[8993, 8991])).
% 48.53/31.00 tff(8995,plain,
% 48.53/31.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB67) | v124(constB67, bitIndex2) | (~v121(constB67, bitIndex2)))),
% 48.53/31.00 inference(quant_inst,[status(thm)],[])).
% 48.53/31.00 tff(8996,plain,
% 48.53/31.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB67, bitIndex2)) | v26(constB67) | v124(constB67, bitIndex2)),
% 48.53/31.00 inference(modus_ponens,[status(thm)],[8995, 8994])).
% 48.53/31.00 tff(8997,plain,
% 48.53/31.00 ((~v121(constB67, bitIndex2)) | v124(constB67, bitIndex2)),
% 48.53/31.00 inference(unit_resolution,[status(thm)],[8996, 1187, 8937])).
% 48.53/31.00 tff(8998,plain,
% 48.53/31.00 (~v121(constB67, bitIndex2)),
% 48.53/31.00 inference(unit_resolution,[status(thm)],[8997, 8990])).
% 48.53/31.00 tff(8999,plain,
% 48.53/31.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex2) | (~v123(constB68, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex2) | (~v123(constB68, bitIndex2)))),
% 48.55/31.00 inference(rewrite,[status(thm)],[])).
% 48.55/31.00 tff(9000,plain,
% 48.55/31.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex2) | (~v123(constB68, bitIndex2)))),
% 48.55/31.00 inference(quant_inst,[status(thm)],[])).
% 48.55/31.00 tff(9001,plain,
% 48.55/31.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex2) | (~v123(constB68, bitIndex2))),
% 48.55/31.00 inference(modus_ponens,[status(thm)],[9000, 8999])).
% 48.55/31.00 tff(9002,plain,
% 48.55/31.00 (v121(constB67, bitIndex2) | (~v123(constB68, bitIndex2))),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9001, 1205, 8952])).
% 48.55/31.00 tff(9003,plain,
% 48.55/31.00 (~v123(constB68, bitIndex2)),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9002, 8998])).
% 48.55/31.00 tff(9004,plain,
% 48.55/31.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB68, bitIndex2)) | v123(constB68, bitIndex2) | (~v94(constB68)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB68, bitIndex2)) | v123(constB68, bitIndex2) | (~v94(constB68)))),
% 48.55/31.00 inference(rewrite,[status(thm)],[])).
% 48.55/31.00 tff(9005,plain,
% 48.55/31.00 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB68, bitIndex2)) | v123(constB68, bitIndex2) | (~v94(constB68)))),
% 48.55/31.00 inference(quant_inst,[status(thm)],[])).
% 48.55/31.00 tff(9006,plain,
% 48.55/31.00 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB68, bitIndex2)) | v123(constB68, bitIndex2) | (~v94(constB68))),
% 48.55/31.00 inference(modus_ponens,[status(thm)],[9005, 9004])).
% 48.55/31.00 tff(9007,plain,
% 48.55/31.00 ((~v84(constB68, bitIndex2)) | (~v94(constB68))),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9006, 1220, 9003])).
% 48.55/31.00 tff(9008,plain,
% 48.55/31.00 (~v84(constB68, bitIndex2)),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9007, 8986])).
% 48.55/31.00 tff(9009,plain,
% 48.55/31.00 ((~v1(constB69)) <=> (~v1(constB69))),
% 48.55/31.00 inference(rewrite,[status(thm)],[])).
% 48.55/31.00 tff(9010,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 48.55/31.00 tff(9011,plain,
% 48.55/31.00 (~v1(constB69)),
% 48.55/31.00 inference(modus_ponens,[status(thm)],[9010, 9009])).
% 48.55/31.00 tff(9012,plain,
% 48.55/31.00 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 48.55/31.00 inference(rewrite,[status(thm)],[])).
% 48.55/31.00 tff(9013,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 48.55/31.00 tff(9014,plain,
% 48.55/31.00 (nextState(constB68, constB69)),
% 48.55/31.00 inference(modus_ponens,[status(thm)],[9013, 9012])).
% 48.55/31.00 tff(9015,plain,
% 48.55/31.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 48.55/31.00 inference(rewrite,[status(thm)],[])).
% 48.55/31.00 tff(9016,plain,
% 48.55/31.00 (((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 48.55/31.00 inference(rewrite,[status(thm)],[])).
% 48.55/31.00 tff(9017,plain,
% 48.55/31.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69))))),
% 48.55/31.00 inference(monotonicity,[status(thm)],[9016])).
% 48.55/31.00 tff(9018,plain,
% 48.55/31.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 48.55/31.00 inference(transitivity,[status(thm)],[9017, 9015])).
% 48.55/31.00 tff(9019,plain,
% 48.55/31.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))),
% 48.55/31.00 inference(quant_inst,[status(thm)],[])).
% 48.55/31.00 tff(9020,plain,
% 48.55/31.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69))),
% 48.55/31.00 inference(modus_ponens,[status(thm)],[9019, 9018])).
% 48.55/31.00 tff(9021,plain,
% 48.55/31.00 (~v95(constB69)),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9020, 110, 9014, 9011])).
% 48.55/31.00 tff(9022,plain,
% 48.55/31.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))),
% 48.55/31.00 inference(rewrite,[status(thm)],[])).
% 48.55/31.00 tff(9023,plain,
% 48.55/31.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))),
% 48.55/31.00 inference(quant_inst,[status(thm)],[])).
% 48.55/31.00 tff(9024,plain,
% 48.55/31.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69))),
% 48.55/31.00 inference(modus_ponens,[status(thm)],[9023, 9022])).
% 48.55/31.00 tff(9025,plain,
% 48.55/31.00 (v95(constB69) | (~v94(constB69))),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9024, 127, 9014])).
% 48.55/31.00 tff(9026,plain,
% 48.55/31.00 (~v94(constB69)),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9025, 9021])).
% 48.55/31.00 tff(9027,plain,
% 48.55/31.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex2)))),
% 48.55/31.00 inference(rewrite,[status(thm)],[])).
% 48.55/31.00 tff(9028,plain,
% 48.55/31.00 (((~nextState(constB68, constB69)) | v84(constB68, bitIndex2) | v94(constB69) | (~v84(constB69, bitIndex2))) <=> (v84(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex2)))),
% 48.55/31.00 inference(rewrite,[status(thm)],[])).
% 48.55/31.00 tff(9029,plain,
% 48.55/31.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex2) | v94(constB69) | (~v84(constB69, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex2))))),
% 48.55/31.00 inference(monotonicity,[status(thm)],[9028])).
% 48.55/31.00 tff(9030,plain,
% 48.55/31.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex2) | v94(constB69) | (~v84(constB69, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex2)))),
% 48.55/31.00 inference(transitivity,[status(thm)],[9029, 9027])).
% 48.55/31.00 tff(9031,plain,
% 48.55/31.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex2) | v94(constB69) | (~v84(constB69, bitIndex2)))),
% 48.55/31.00 inference(quant_inst,[status(thm)],[])).
% 48.55/31.00 tff(9032,plain,
% 48.55/31.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex2))),
% 48.55/31.00 inference(modus_ponens,[status(thm)],[9031, 9030])).
% 48.55/31.00 tff(9033,plain,
% 48.55/31.00 (v84(constB68, bitIndex2) | v94(constB69) | (~v84(constB69, bitIndex2))),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9032, 142, 9014])).
% 48.55/31.00 tff(9034,plain,
% 48.55/31.00 (v84(constB68, bitIndex2) | (~v84(constB69, bitIndex2))),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9033, 9026])).
% 48.55/31.00 tff(9035,plain,
% 48.55/31.00 (~v84(constB69, bitIndex2)),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9034, 9008])).
% 48.55/31.00 tff(9036,plain,
% 48.55/31.00 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB67)) | v124(constB67, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB67)) | v124(constB67, bitIndex1))),
% 48.55/31.00 inference(rewrite,[status(thm)],[])).
% 48.55/31.00 tff(9037,plain,
% 48.55/31.00 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB67)) | v124(constB67, bitIndex1))),
% 48.55/31.00 inference(quant_inst,[status(thm)],[])).
% 48.55/31.00 tff(9038,plain,
% 48.55/31.00 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB67)) | v124(constB67, bitIndex1)),
% 48.55/31.00 inference(modus_ponens,[status(thm)],[9037, 9036])).
% 48.55/31.00 tff(9039,plain,
% 48.55/31.00 (v124(constB67, bitIndex1)),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9038, 1512, 8900])).
% 48.55/31.00 tff(9040,plain,
% 48.55/31.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB67) | (~v124(constB67, bitIndex1)) | v121(constB67, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB67) | (~v124(constB67, bitIndex1)) | v121(constB67, bitIndex1))),
% 48.55/31.00 inference(rewrite,[status(thm)],[])).
% 48.55/31.00 tff(9041,plain,
% 48.55/31.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB67) | (~v124(constB67, bitIndex1)) | v121(constB67, bitIndex1))),
% 48.55/31.00 inference(quant_inst,[status(thm)],[])).
% 48.55/31.00 tff(9042,plain,
% 48.55/31.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB67) | (~v124(constB67, bitIndex1)) | v121(constB67, bitIndex1)),
% 48.55/31.00 inference(modus_ponens,[status(thm)],[9041, 9040])).
% 48.55/31.00 tff(9043,plain,
% 48.55/31.00 ((~v124(constB67, bitIndex1)) | v121(constB67, bitIndex1)),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9042, 857, 8937])).
% 48.55/31.00 tff(9044,plain,
% 48.55/31.00 (v121(constB67, bitIndex1)),
% 48.55/31.00 inference(unit_resolution,[status(thm)],[9043, 9039])).
% 48.55/31.00 tff(9045,plain,
% 48.55/31.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB67, constB68)) | (~v121(constB67, bitIndex1)) | v123(constB68, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB67, constB68)) | (~v121(constB67, bitIndex1)) | v123(constB68, bitIndex1))),
% 48.55/31.00 inference(rewrite,[status(thm)],[])).
% 48.55/31.00 tff(9046,plain,
% 48.55/31.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB67, constB68)) | (~v121(constB67, bitIndex1)) | v123(constB68, bitIndex1))),
% 48.55/31.00 inference(quant_inst,[status(thm)],[])).
% 48.55/31.00 tff(9047,plain,
% 48.55/31.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB67, constB68)) | (~v121(constB67, bitIndex1)) | v123(constB68, bitIndex1)),
% 48.55/31.01 inference(modus_ponens,[status(thm)],[9046, 9045])).
% 48.55/31.01 tff(9048,plain,
% 48.55/31.01 ((~v121(constB67, bitIndex1)) | v123(constB68, bitIndex1)),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9047, 872, 8952])).
% 48.55/31.01 tff(9049,plain,
% 48.55/31.01 (v123(constB68, bitIndex1)),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9048, 9044])).
% 48.55/31.01 tff(9050,plain,
% 48.55/31.01 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1)) | (~v94(constB68)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1)) | (~v94(constB68)))),
% 48.55/31.01 inference(rewrite,[status(thm)],[])).
% 48.55/31.01 tff(9051,plain,
% 48.55/31.01 ((v84(constB68, bitIndex1) | (~v94(constB68)) | (~v123(constB68, bitIndex1))) <=> (v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1)) | (~v94(constB68)))),
% 48.55/31.01 inference(rewrite,[status(thm)],[])).
% 48.55/31.01 tff(9052,plain,
% 48.55/31.01 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~v94(constB68)) | (~v123(constB68, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1)) | (~v94(constB68))))),
% 48.55/31.01 inference(monotonicity,[status(thm)],[9051])).
% 48.55/31.01 tff(9053,plain,
% 48.55/31.01 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~v94(constB68)) | (~v123(constB68, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1)) | (~v94(constB68)))),
% 48.55/31.01 inference(transitivity,[status(thm)],[9052, 9050])).
% 48.55/31.01 tff(9054,plain,
% 48.55/31.01 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~v94(constB68)) | (~v123(constB68, bitIndex1)))),
% 48.55/31.01 inference(quant_inst,[status(thm)],[])).
% 48.55/31.01 tff(9055,plain,
% 48.55/31.01 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1)) | (~v94(constB68))),
% 48.55/31.01 inference(modus_ponens,[status(thm)],[9054, 9053])).
% 48.55/31.01 tff(9056,plain,
% 48.55/31.01 (v84(constB68, bitIndex1) | (~v94(constB68))),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9055, 887, 9049])).
% 48.55/31.01 tff(9057,plain,
% 48.55/31.01 (v84(constB68, bitIndex1)),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9056, 8986])).
% 48.55/31.01 tff(9058,plain,
% 48.55/31.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex1))),
% 48.55/31.01 inference(rewrite,[status(thm)],[])).
% 48.55/31.01 tff(9059,plain,
% 48.55/31.01 (((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex1)) | v94(constB69) | v84(constB69, bitIndex1)) <=> ((~v84(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex1))),
% 48.55/31.01 inference(rewrite,[status(thm)],[])).
% 48.55/31.01 tff(9060,plain,
% 48.55/31.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex1)) | v94(constB69) | v84(constB69, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex1)))),
% 48.55/31.01 inference(monotonicity,[status(thm)],[9059])).
% 48.55/31.01 tff(9061,plain,
% 48.55/31.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex1)) | v94(constB69) | v84(constB69, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex1))),
% 48.55/31.01 inference(transitivity,[status(thm)],[9060, 9058])).
% 48.55/31.01 tff(9062,plain,
% 48.55/31.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex1)) | v94(constB69) | v84(constB69, bitIndex1))),
% 48.55/31.01 inference(quant_inst,[status(thm)],[])).
% 48.55/31.01 tff(9063,plain,
% 48.55/31.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex1)),
% 48.55/31.01 inference(modus_ponens,[status(thm)],[9062, 9061])).
% 48.55/31.01 tff(9064,plain,
% 48.55/31.01 ((~v84(constB68, bitIndex1)) | v94(constB69) | v84(constB69, bitIndex1)),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9063, 905, 9014])).
% 48.55/31.01 tff(9065,plain,
% 48.55/31.01 ((~v84(constB68, bitIndex1)) | v84(constB69, bitIndex1)),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9064, 9026])).
% 48.55/31.01 tff(9066,plain,
% 48.55/31.01 (v84(constB69, bitIndex1)),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9065, 9057])).
% 48.55/31.01 tff(9067,plain,
% 48.55/31.01 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB67)) | (~v124(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB67)) | (~v124(constB67, bitIndex0)))),
% 48.55/31.01 inference(rewrite,[status(thm)],[])).
% 48.55/31.01 tff(9068,plain,
% 48.55/31.01 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB67)) | (~v124(constB67, bitIndex0)))),
% 48.55/31.01 inference(quant_inst,[status(thm)],[])).
% 48.55/31.01 tff(9069,plain,
% 48.55/31.01 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB67)) | (~v124(constB67, bitIndex0))),
% 48.55/31.01 inference(modus_ponens,[status(thm)],[9068, 9067])).
% 48.55/31.01 tff(9070,plain,
% 48.55/31.01 (~v124(constB67, bitIndex0)),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9069, 1550, 8900])).
% 48.55/31.01 tff(9071,assumption,(v121(constB67, bitIndex0)), introduced(assumption)).
% 48.55/31.01 tff(9072,assumption,(~v124(constB67, bitIndex0)), introduced(assumption)).
% 48.55/31.01 tff(9073,plain,
% 48.55/31.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))),
% 48.55/31.01 inference(rewrite,[status(thm)],[])).
% 48.55/31.01 tff(9074,plain,
% 48.55/31.01 ((v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0))) <=> ((~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))),
% 48.55/31.01 inference(rewrite,[status(thm)],[])).
% 48.55/31.01 tff(9075,plain,
% 48.55/31.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0)))),
% 48.55/31.01 inference(monotonicity,[status(thm)],[9074])).
% 48.55/31.01 tff(9076,plain,
% 48.55/31.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))),
% 48.55/31.01 inference(transitivity,[status(thm)],[9075, 9073])).
% 48.55/31.01 tff(9077,plain,
% 48.55/31.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0)))),
% 48.55/31.01 inference(quant_inst,[status(thm)],[])).
% 48.55/31.01 tff(9078,plain,
% 48.55/31.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0)),
% 48.55/31.01 inference(modus_ponens,[status(thm)],[9077, 9076])).
% 48.55/31.01 tff(9079,plain,
% 48.55/31.01 ((~v121(constB67, bitIndex0)) | v26(constB67)),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9078, 607, 9072])).
% 48.55/31.01 tff(9080,plain,
% 48.55/31.01 (v26(constB67)),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9079, 9071])).
% 48.55/31.01 tff(9081,plain,
% 48.55/31.01 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB67)) | (~v121(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB67)) | (~v121(constB67, bitIndex0)))),
% 48.55/31.01 inference(rewrite,[status(thm)],[])).
% 48.55/31.01 tff(9082,plain,
% 48.55/31.01 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB67)) | (~v121(constB67, bitIndex0)))),
% 48.55/31.01 inference(quant_inst,[status(thm)],[])).
% 48.55/31.01 tff(9083,plain,
% 48.55/31.01 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB67)) | (~v121(constB67, bitIndex0))),
% 48.55/31.01 inference(modus_ponens,[status(thm)],[9082, 9081])).
% 48.55/31.01 tff(9084,plain,
% 48.55/31.01 ($false),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9083, 622, 9071, 9080])).
% 48.55/31.01 tff(9085,plain,((~v121(constB67, bitIndex0)) | v124(constB67, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 48.55/31.01 tff(9086,plain,
% 48.55/31.01 (~v121(constB67, bitIndex0)),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9085, 9070])).
% 48.55/31.01 tff(9087,plain,
% 48.55/31.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0)))),
% 48.55/31.01 inference(rewrite,[status(thm)],[])).
% 48.55/31.01 tff(9088,plain,
% 48.55/31.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0)))),
% 48.55/31.01 inference(quant_inst,[status(thm)],[])).
% 48.55/31.01 tff(9089,plain,
% 48.55/31.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0))),
% 48.55/31.01 inference(modus_ponens,[status(thm)],[9088, 9087])).
% 48.55/31.01 tff(9090,plain,
% 48.55/31.01 (v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0))),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9089, 637, 8952])).
% 48.55/31.01 tff(9091,plain,
% 48.55/31.01 (~v123(constB68, bitIndex0)),
% 48.55/31.01 inference(unit_resolution,[status(thm)],[9090, 9086])).
% 48.55/31.01 tff(9092,plain,
% 48.55/31.01 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))),
% 48.55/31.01 inference(rewrite,[status(thm)],[])).
% 48.55/31.01 tff(9093,plain,
% 48.55/31.01 (((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0)) <=> ((~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))),
% 48.55/31.01 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9094,plain,
% 48.55/31.02 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68))))),
% 48.55/31.02 inference(monotonicity,[status(thm)],[9093])).
% 48.55/31.02 tff(9095,plain,
% 48.55/31.02 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))),
% 48.55/31.02 inference(transitivity,[status(thm)],[9094, 9092])).
% 48.55/31.02 tff(9096,plain,
% 48.55/31.02 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0))),
% 48.55/31.02 inference(quant_inst,[status(thm)],[])).
% 48.55/31.02 tff(9097,plain,
% 48.55/31.02 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68))),
% 48.55/31.02 inference(modus_ponens,[status(thm)],[9096, 9095])).
% 48.55/31.02 tff(9098,plain,
% 48.55/31.02 ((~v84(constB68, bitIndex0)) | (~v94(constB68))),
% 48.55/31.02 inference(unit_resolution,[status(thm)],[9097, 652, 9091])).
% 48.55/31.02 tff(9099,plain,
% 48.55/31.02 (~v84(constB68, bitIndex0)),
% 48.55/31.02 inference(unit_resolution,[status(thm)],[9098, 8986])).
% 48.55/31.02 tff(9100,plain,
% 48.55/31.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 48.55/31.02 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9101,plain,
% 48.55/31.02 (((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0))) <=> (v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 48.55/31.02 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9102,plain,
% 48.55/31.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0))))),
% 48.55/31.02 inference(monotonicity,[status(thm)],[9101])).
% 48.55/31.02 tff(9103,plain,
% 48.55/31.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 48.55/31.02 inference(transitivity,[status(thm)],[9102, 9100])).
% 48.55/31.02 tff(9104,plain,
% 48.55/31.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 48.55/31.02 inference(quant_inst,[status(thm)],[])).
% 48.55/31.02 tff(9105,plain,
% 48.55/31.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0))),
% 48.55/31.02 inference(modus_ponens,[status(thm)],[9104, 9103])).
% 48.55/31.02 tff(9106,plain,
% 48.55/31.02 (v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0))),
% 48.55/31.02 inference(unit_resolution,[status(thm)],[9105, 184, 9014])).
% 48.55/31.02 tff(9107,plain,
% 48.55/31.02 (v84(constB68, bitIndex0) | (~v84(constB69, bitIndex0))),
% 48.55/31.02 inference(unit_resolution,[status(thm)],[9106, 9026])).
% 48.55/31.02 tff(9108,plain,
% 48.55/31.02 (~v84(constB69, bitIndex0)),
% 48.55/31.02 inference(unit_resolution,[status(thm)],[9107, 9099])).
% 48.55/31.02 tff(9109,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69))),
% 48.55/31.02 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9110,plain,
% 48.55/31.02 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69))),
% 48.55/31.02 inference(quant_inst,[status(thm)],[])).
% 48.55/31.02 tff(9111,plain,
% 48.55/31.02 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69)),
% 48.55/31.02 inference(modus_ponens,[status(thm)],[9110, 9109])).
% 48.55/31.02 tff(9112,plain,
% 48.55/31.02 (v115(constB69)),
% 48.55/31.02 inference(unit_resolution,[status(thm)],[9111, 1594, 9108, 9066, 9035])).
% 48.55/31.02 tff(9113,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB69) | (~v115(constB69)))),
% 48.55/31.02 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9114,plain,
% 48.55/31.02 (((~v115(constB69)) | v111(constB69)) <=> (v111(constB69) | (~v115(constB69)))),
% 48.55/31.02 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9115,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB69)) | v111(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB69) | (~v115(constB69))))),
% 48.55/31.02 inference(monotonicity,[status(thm)],[9114])).
% 48.55/31.02 tff(9116,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB69)) | v111(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB69) | (~v115(constB69)))),
% 48.55/31.02 inference(transitivity,[status(thm)],[9115, 9113])).
% 48.55/31.02 tff(9117,plain,
% 48.55/31.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB69)) | v111(constB69))),
% 48.55/31.02 inference(quant_inst,[status(thm)],[])).
% 48.55/31.02 tff(9118,plain,
% 48.55/31.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB69) | (~v115(constB69))),
% 48.55/31.02 inference(modus_ponens,[status(thm)],[9117, 9116])).
% 48.55/31.02 tff(9119,plain,
% 48.55/31.02 (v111(constB69)),
% 48.55/31.02 inference(unit_resolution,[status(thm)],[9118, 1605, 9112])).
% 48.55/31.02 tff(9120,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB69) | (~v111(constB69)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB69) | (~v111(constB69)))),
% 48.55/31.02 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9121,plain,
% 48.55/31.02 (((~v111(constB69)) | v110(constB69)) <=> (v110(constB69) | (~v111(constB69)))),
% 48.55/31.02 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9122,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB69)) | v110(constB69))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB69) | (~v111(constB69))))),
% 48.55/31.02 inference(monotonicity,[status(thm)],[9121])).
% 48.55/31.02 tff(9123,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB69)) | v110(constB69))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB69) | (~v111(constB69)))),
% 48.55/31.02 inference(transitivity,[status(thm)],[9122, 9120])).
% 48.55/31.02 tff(9124,plain,
% 48.55/31.02 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB69)) | v110(constB69))),
% 48.55/31.02 inference(quant_inst,[status(thm)],[])).
% 48.55/31.02 tff(9125,plain,
% 48.55/31.02 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB69) | (~v111(constB69))),
% 48.55/31.02 inference(modus_ponens,[status(thm)],[9124, 9123])).
% 48.55/31.02 tff(9126,plain,
% 48.55/31.02 (v110(constB69)),
% 48.55/31.02 inference(unit_resolution,[status(thm)],[9125, 292, 9119])).
% 48.55/31.02 tff(9127,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB69) | (~v110(constB69)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB69) | (~v110(constB69)))),
% 48.55/31.02 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9128,plain,
% 48.55/31.02 (((~v110(constB69)) | v109(constB69)) <=> (v109(constB69) | (~v110(constB69)))),
% 48.55/31.02 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9129,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB69)) | v109(constB69))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB69) | (~v110(constB69))))),
% 48.55/31.02 inference(monotonicity,[status(thm)],[9128])).
% 48.55/31.02 tff(9130,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB69)) | v109(constB69))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB69) | (~v110(constB69)))),
% 48.55/31.02 inference(transitivity,[status(thm)],[9129, 9127])).
% 48.55/31.02 tff(9131,plain,
% 48.55/31.02 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB69)) | v109(constB69))),
% 48.55/31.02 inference(quant_inst,[status(thm)],[])).
% 48.55/31.02 tff(9132,plain,
% 48.55/31.02 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB69) | (~v110(constB69))),
% 48.55/31.02 inference(modus_ponens,[status(thm)],[9131, 9130])).
% 48.55/31.02 tff(9133,plain,
% 48.55/31.02 (v109(constB69)),
% 48.55/31.02 inference(unit_resolution,[status(thm)],[9132, 306, 9126])).
% 48.55/31.02 tff(9134,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v109(constB69)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v109(constB69)))),
% 48.55/31.02 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9135,plain,
% 48.55/31.02 (((~v109(constB69)) | v108(constB69)) <=> (v108(constB69) | (~v109(constB69)))),
% 48.55/31.02 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9136,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v109(constB69))))),
% 48.55/31.02 inference(monotonicity,[status(thm)],[9135])).
% 48.55/31.02 tff(9137,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v109(constB69)))),
% 48.55/31.02 inference(transitivity,[status(thm)],[9136, 9134])).
% 48.55/31.02 tff(9138,plain,
% 48.55/31.02 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB69)) | v108(constB69))),
% 48.55/31.02 inference(quant_inst,[status(thm)],[])).
% 48.55/31.02 tff(9139,plain,
% 48.55/31.02 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v109(constB69))),
% 48.55/31.02 inference(modus_ponens,[status(thm)],[9138, 9137])).
% 48.55/31.02 tff(9140,plain,
% 48.55/31.02 (v108(constB69)),
% 48.55/31.02 inference(unit_resolution,[status(thm)],[9139, 320, 9133])).
% 48.55/31.02 tff(9141,plain,
% 48.55/31.02 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB69)) | v107(constB69))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB69)) | v107(constB69))),
% 48.55/31.02 inference(rewrite,[status(thm)],[])).
% 48.55/31.02 tff(9142,plain,
% 48.55/31.02 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB69)) | v107(constB69))),
% 48.55/31.02 inference(quant_inst,[status(thm)],[])).
% 48.57/31.02 tff(9143,plain,
% 48.57/31.02 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB69)) | v107(constB69)),
% 48.57/31.02 inference(modus_ponens,[status(thm)],[9142, 9141])).
% 48.57/31.02 tff(9144,plain,
% 48.57/31.02 (v107(constB69)),
% 48.57/31.02 inference(unit_resolution,[status(thm)],[9143, 334, 9140])).
% 48.57/31.02 tff(9145,assumption,(v26(constB69)), introduced(assumption)).
% 48.57/31.02 tff(9146,plain,
% 48.57/31.02 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 48.57/31.02 inference(quant_inst,[status(thm)],[])).
% 48.57/31.02 tff(9147,plain,
% 48.57/31.02 ($false),
% 48.57/31.02 inference(unit_resolution,[status(thm)],[9146, 55, 9145])).
% 48.57/31.02 tff(9148,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 48.57/31.02 tff(9149,plain,
% 48.57/31.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | v106(constB69) | (~v107(constB69)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | v106(constB69) | (~v107(constB69)))),
% 48.57/31.02 inference(rewrite,[status(thm)],[])).
% 48.57/31.02 tff(9150,plain,
% 48.57/31.02 ((v26(constB69) | (~v107(constB69)) | v106(constB69)) <=> (v26(constB69) | v106(constB69) | (~v107(constB69)))),
% 48.57/31.02 inference(rewrite,[status(thm)],[])).
% 48.57/31.02 tff(9151,plain,
% 48.57/31.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | v106(constB69) | (~v107(constB69))))),
% 48.57/31.02 inference(monotonicity,[status(thm)],[9150])).
% 48.57/31.02 tff(9152,plain,
% 48.57/31.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | v106(constB69) | (~v107(constB69)))),
% 48.57/31.02 inference(transitivity,[status(thm)],[9151, 9149])).
% 48.57/31.02 tff(9153,plain,
% 48.57/31.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))),
% 48.57/31.02 inference(quant_inst,[status(thm)],[])).
% 48.57/31.02 tff(9154,plain,
% 48.57/31.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | v106(constB69) | (~v107(constB69))),
% 48.57/31.02 inference(modus_ponens,[status(thm)],[9153, 9152])).
% 48.57/31.02 tff(9155,plain,
% 48.57/31.02 (v106(constB69) | (~v107(constB69))),
% 48.57/31.02 inference(unit_resolution,[status(thm)],[9154, 348, 9148])).
% 48.57/31.02 tff(9156,plain,
% 48.57/31.02 (v106(constB69)),
% 48.57/31.02 inference(unit_resolution,[status(thm)],[9155, 9144])).
% 48.57/31.02 tff(9157,plain,
% 48.57/31.02 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB69) | (~v106(constB69)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB69) | (~v106(constB69)))),
% 48.57/31.02 inference(rewrite,[status(thm)],[])).
% 48.57/31.02 tff(9158,plain,
% 48.57/31.02 (((~v106(constB69)) | v102(constB69)) <=> (v102(constB69) | (~v106(constB69)))),
% 48.57/31.02 inference(rewrite,[status(thm)],[])).
% 48.57/31.02 tff(9159,plain,
% 48.57/31.02 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB69)) | v102(constB69))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB69) | (~v106(constB69))))),
% 48.57/31.02 inference(monotonicity,[status(thm)],[9158])).
% 48.57/31.02 tff(9160,plain,
% 48.57/31.02 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB69)) | v102(constB69))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB69) | (~v106(constB69)))),
% 48.57/31.02 inference(transitivity,[status(thm)],[9159, 9157])).
% 48.57/31.02 tff(9161,plain,
% 48.57/31.02 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB69)) | v102(constB69))),
% 48.57/31.02 inference(quant_inst,[status(thm)],[])).
% 48.57/31.02 tff(9162,plain,
% 48.57/31.02 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB69) | (~v106(constB69))),
% 48.57/31.02 inference(modus_ponens,[status(thm)],[9161, 9160])).
% 48.57/31.02 tff(9163,plain,
% 48.57/31.02 (v102(constB69)),
% 48.57/31.02 inference(unit_resolution,[status(thm)],[9162, 504, 9156])).
% 48.57/31.02 tff(9164,plain,
% 48.57/31.02 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 48.57/31.02 inference(rewrite,[status(thm)],[])).
% 48.57/31.02 tff(9165,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 48.57/31.02 tff(9166,plain,
% 48.57/31.02 (nextState(constB69, constB70)),
% 48.57/31.02 inference(modus_ponens,[status(thm)],[9165, 9164])).
% 48.57/31.02 tff(9167,plain,
% 48.57/31.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 48.57/31.02 inference(rewrite,[status(thm)],[])).
% 48.57/31.02 tff(9168,plain,
% 48.57/31.02 (((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70)) <=> ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 48.57/31.02 inference(rewrite,[status(thm)],[])).
% 48.57/31.02 tff(9169,plain,
% 48.57/31.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69))))),
% 48.57/31.02 inference(monotonicity,[status(thm)],[9168])).
% 48.57/31.02 tff(9170,plain,
% 48.57/31.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 48.57/31.02 inference(transitivity,[status(thm)],[9169, 9167])).
% 48.57/31.02 tff(9171,plain,
% 48.57/31.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))),
% 48.57/31.02 inference(quant_inst,[status(thm)],[])).
% 48.57/31.02 tff(9172,plain,
% 48.57/31.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69))),
% 48.57/31.02 inference(modus_ponens,[status(thm)],[9171, 9170])).
% 48.57/31.02 tff(9173,plain,
% 48.57/31.02 (v104(constB70) | (~v102(constB69))),
% 48.57/31.02 inference(unit_resolution,[status(thm)],[9172, 489, 9166])).
% 48.57/31.02 tff(9174,plain,
% 48.57/31.02 (v104(constB70)),
% 48.57/31.02 inference(unit_resolution,[status(thm)],[9173, 9163])).
% 48.57/31.02 tff(9175,plain,
% 48.57/31.02 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))),
% 48.57/31.02 inference(rewrite,[status(thm)],[])).
% 48.57/31.02 tff(9176,plain,
% 48.57/31.02 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))),
% 48.57/31.02 inference(quant_inst,[status(thm)],[])).
% 48.57/31.02 tff(9177,plain,
% 48.57/31.02 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70))),
% 48.57/31.02 inference(modus_ponens,[status(thm)],[9176, 9175])).
% 48.57/31.02 tff(9178,plain,
% 48.57/31.02 (~v98(constB70)),
% 48.57/31.02 inference(unit_resolution,[status(thm)],[9177, 423, 9166, 9011])).
% 48.57/31.02 tff(9179,plain,
% 48.57/31.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))),
% 48.57/31.02 inference(rewrite,[status(thm)],[])).
% 48.57/31.02 tff(9180,plain,
% 48.57/31.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))),
% 48.57/31.03 inference(quant_inst,[status(thm)],[])).
% 48.57/31.03 tff(9181,plain,
% 48.57/31.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB69, constB70)) | v96(constB70) | v98(constB70)),
% 48.57/31.03 inference(modus_ponens,[status(thm)],[9180, 9179])).
% 48.57/31.03 tff(9182,plain,
% 48.57/31.03 (v96(constB70) | v98(constB70)),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9181, 437, 9166])).
% 48.57/31.03 tff(9183,plain,
% 48.57/31.03 (v96(constB70)),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9182, 9178])).
% 48.57/31.03 tff(9184,plain,
% 48.57/31.03 (v1(constB70) <=> v1(constB70)),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9185,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 48.57/31.03 tff(9186,plain,
% 48.57/31.03 (v1(constB70)),
% 48.57/31.03 inference(modus_ponens,[status(thm)],[9185, 9184])).
% 48.57/31.03 tff(9187,plain,
% 48.57/31.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9188,plain,
% 48.57/31.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))),
% 48.57/31.03 inference(quant_inst,[status(thm)],[])).
% 48.57/31.03 tff(9189,plain,
% 48.57/31.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70))),
% 48.57/31.03 inference(modus_ponens,[status(thm)],[9188, 9187])).
% 48.57/31.03 tff(9190,plain,
% 48.57/31.03 (v95(constB70) | (~v96(constB70))),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9189, 455, 9166, 9186])).
% 48.57/31.03 tff(9191,plain,
% 48.57/31.03 (v95(constB70)),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9190, 9183])).
% 48.57/31.03 tff(9192,plain,
% 48.57/31.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9193,plain,
% 48.57/31.03 (((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70)) <=> ((~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9194,plain,
% 48.57/31.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70))))),
% 48.57/31.03 inference(monotonicity,[status(thm)],[9193])).
% 48.57/31.03 tff(9195,plain,
% 48.57/31.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))),
% 48.57/31.03 inference(transitivity,[status(thm)],[9194, 9192])).
% 48.57/31.03 tff(9196,plain,
% 48.57/31.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))),
% 48.57/31.03 inference(quant_inst,[status(thm)],[])).
% 48.57/31.03 tff(9197,plain,
% 48.57/31.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70))),
% 48.57/31.03 inference(modus_ponens,[status(thm)],[9196, 9195])).
% 48.57/31.03 tff(9198,plain,
% 48.57/31.03 (v94(constB70) | (~v95(constB70)) | (~v104(constB70))),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9197, 470, 9166])).
% 48.57/31.03 tff(9199,plain,
% 48.57/31.03 (v94(constB70) | (~v104(constB70))),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9198, 9191])).
% 48.57/31.03 tff(9200,plain,
% 48.57/31.03 (v94(constB70)),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9199, 9174])).
% 48.57/31.03 tff(9201,plain,
% 48.57/31.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB69)) | (~v124(constB69, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB69)) | (~v124(constB69, bitIndex2)))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9202,plain,
% 48.57/31.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB69)) | (~v124(constB69, bitIndex2)))),
% 48.57/31.03 inference(quant_inst,[status(thm)],[])).
% 48.57/31.03 tff(9203,plain,
% 48.57/31.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB69)) | (~v124(constB69, bitIndex2))),
% 48.57/31.03 inference(modus_ponens,[status(thm)],[9202, 9201])).
% 48.57/31.03 tff(9204,plain,
% 48.57/31.03 (~v124(constB69, bitIndex2)),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9203, 1690, 9112])).
% 48.57/31.03 tff(9205,plain,
% 48.57/31.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB69, bitIndex2)) | v26(constB69) | v124(constB69, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB69, bitIndex2)) | v26(constB69) | v124(constB69, bitIndex2))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9206,plain,
% 48.57/31.03 ((v26(constB69) | v124(constB69, bitIndex2) | (~v121(constB69, bitIndex2))) <=> ((~v121(constB69, bitIndex2)) | v26(constB69) | v124(constB69, bitIndex2))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9207,plain,
% 48.57/31.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB69) | v124(constB69, bitIndex2) | (~v121(constB69, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB69, bitIndex2)) | v26(constB69) | v124(constB69, bitIndex2)))),
% 48.57/31.03 inference(monotonicity,[status(thm)],[9206])).
% 48.57/31.03 tff(9208,plain,
% 48.57/31.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB69) | v124(constB69, bitIndex2) | (~v121(constB69, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB69, bitIndex2)) | v26(constB69) | v124(constB69, bitIndex2))),
% 48.57/31.03 inference(transitivity,[status(thm)],[9207, 9205])).
% 48.57/31.03 tff(9209,plain,
% 48.57/31.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB69) | v124(constB69, bitIndex2) | (~v121(constB69, bitIndex2)))),
% 48.57/31.03 inference(quant_inst,[status(thm)],[])).
% 48.57/31.03 tff(9210,plain,
% 48.57/31.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB69, bitIndex2)) | v26(constB69) | v124(constB69, bitIndex2)),
% 48.57/31.03 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 48.57/31.03 tff(9211,plain,
% 48.57/31.03 ((~v121(constB69, bitIndex2)) | v124(constB69, bitIndex2)),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9210, 1187, 9148])).
% 48.57/31.03 tff(9212,plain,
% 48.57/31.03 (~v121(constB69, bitIndex2)),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9211, 9204])).
% 48.57/31.03 tff(9213,plain,
% 48.57/31.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v121(constB69, bitIndex2) | (~v123(constB70, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v121(constB69, bitIndex2) | (~v123(constB70, bitIndex2)))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9214,plain,
% 48.57/31.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v121(constB69, bitIndex2) | (~v123(constB70, bitIndex2)))),
% 48.57/31.03 inference(quant_inst,[status(thm)],[])).
% 48.57/31.03 tff(9215,plain,
% 48.57/31.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v121(constB69, bitIndex2) | (~v123(constB70, bitIndex2))),
% 48.57/31.03 inference(modus_ponens,[status(thm)],[9214, 9213])).
% 48.57/31.03 tff(9216,plain,
% 48.57/31.03 (v121(constB69, bitIndex2) | (~v123(constB70, bitIndex2))),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9215, 1205, 9166])).
% 48.57/31.03 tff(9217,plain,
% 48.57/31.03 (~v123(constB70, bitIndex2)),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9216, 9212])).
% 48.57/31.03 tff(9218,plain,
% 48.57/31.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB70, bitIndex2)) | v123(constB70, bitIndex2) | (~v94(constB70)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB70, bitIndex2)) | v123(constB70, bitIndex2) | (~v94(constB70)))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9219,plain,
% 48.57/31.03 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB70, bitIndex2)) | v123(constB70, bitIndex2) | (~v94(constB70)))),
% 48.57/31.03 inference(quant_inst,[status(thm)],[])).
% 48.57/31.03 tff(9220,plain,
% 48.57/31.03 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB70, bitIndex2)) | v123(constB70, bitIndex2) | (~v94(constB70))),
% 48.57/31.03 inference(modus_ponens,[status(thm)],[9219, 9218])).
% 48.57/31.03 tff(9221,plain,
% 48.57/31.03 ((~v84(constB70, bitIndex2)) | (~v94(constB70))),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9220, 1220, 9217])).
% 48.57/31.03 tff(9222,plain,
% 48.57/31.03 (~v84(constB70, bitIndex2)),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9221, 9200])).
% 48.57/31.03 tff(9223,plain,
% 48.57/31.03 ((~v1(constB71)) <=> (~v1(constB71))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9224,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 48.57/31.03 tff(9225,plain,
% 48.57/31.03 (~v1(constB71)),
% 48.57/31.03 inference(modus_ponens,[status(thm)],[9224, 9223])).
% 48.57/31.03 tff(9226,plain,
% 48.57/31.03 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9227,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 48.57/31.03 tff(9228,plain,
% 48.57/31.03 (nextState(constB70, constB71)),
% 48.57/31.03 inference(modus_ponens,[status(thm)],[9227, 9226])).
% 48.57/31.03 tff(9229,plain,
% 48.57/31.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9230,plain,
% 48.57/31.03 (((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9231,plain,
% 48.57/31.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71))))),
% 48.57/31.03 inference(monotonicity,[status(thm)],[9230])).
% 48.57/31.03 tff(9232,plain,
% 48.57/31.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 48.57/31.03 inference(transitivity,[status(thm)],[9231, 9229])).
% 48.57/31.03 tff(9233,plain,
% 48.57/31.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))),
% 48.57/31.03 inference(quant_inst,[status(thm)],[])).
% 48.57/31.03 tff(9234,plain,
% 48.57/31.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71))),
% 48.57/31.03 inference(modus_ponens,[status(thm)],[9233, 9232])).
% 48.57/31.03 tff(9235,plain,
% 48.57/31.03 (~v95(constB71)),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9234, 110, 9228, 9225])).
% 48.57/31.03 tff(9236,plain,
% 48.57/31.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9237,plain,
% 48.57/31.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))),
% 48.57/31.03 inference(quant_inst,[status(thm)],[])).
% 48.57/31.03 tff(9238,plain,
% 48.57/31.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71))),
% 48.57/31.03 inference(modus_ponens,[status(thm)],[9237, 9236])).
% 48.57/31.03 tff(9239,plain,
% 48.57/31.03 (v95(constB71) | (~v94(constB71))),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9238, 127, 9228])).
% 48.57/31.03 tff(9240,plain,
% 48.57/31.03 (~v94(constB71)),
% 48.57/31.03 inference(unit_resolution,[status(thm)],[9239, 9235])).
% 48.57/31.03 tff(9241,plain,
% 48.57/31.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex2)))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9242,plain,
% 48.57/31.03 (((~nextState(constB70, constB71)) | v84(constB70, bitIndex2) | v94(constB71) | (~v84(constB71, bitIndex2))) <=> (v84(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex2)))),
% 48.57/31.03 inference(rewrite,[status(thm)],[])).
% 48.57/31.03 tff(9243,plain,
% 48.57/31.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v84(constB70, bitIndex2) | v94(constB71) | (~v84(constB71, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex2))))),
% 48.57/31.03 inference(monotonicity,[status(thm)],[9242])).
% 48.57/31.04 tff(9244,plain,
% 48.57/31.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v84(constB70, bitIndex2) | v94(constB71) | (~v84(constB71, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex2)))),
% 48.57/31.04 inference(transitivity,[status(thm)],[9243, 9241])).
% 48.57/31.04 tff(9245,plain,
% 48.57/31.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v84(constB70, bitIndex2) | v94(constB71) | (~v84(constB71, bitIndex2)))),
% 48.57/31.04 inference(quant_inst,[status(thm)],[])).
% 48.57/31.04 tff(9246,plain,
% 48.57/31.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex2))),
% 48.57/31.04 inference(modus_ponens,[status(thm)],[9245, 9244])).
% 48.57/31.04 tff(9247,plain,
% 48.57/31.04 (v84(constB70, bitIndex2) | v94(constB71) | (~v84(constB71, bitIndex2))),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9246, 142, 9228])).
% 48.57/31.04 tff(9248,plain,
% 48.57/31.04 (v84(constB70, bitIndex2) | (~v84(constB71, bitIndex2))),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9247, 9240])).
% 48.57/31.04 tff(9249,plain,
% 48.57/31.04 (~v84(constB71, bitIndex2)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9248, 9222])).
% 48.57/31.04 tff(9250,plain,
% 48.57/31.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB69)) | v124(constB69, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB69)) | v124(constB69, bitIndex1))),
% 48.57/31.04 inference(rewrite,[status(thm)],[])).
% 48.57/31.04 tff(9251,plain,
% 48.57/31.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB69)) | v124(constB69, bitIndex1))),
% 48.57/31.04 inference(quant_inst,[status(thm)],[])).
% 48.57/31.04 tff(9252,plain,
% 48.57/31.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB69)) | v124(constB69, bitIndex1)),
% 48.57/31.04 inference(modus_ponens,[status(thm)],[9251, 9250])).
% 48.57/31.04 tff(9253,plain,
% 48.57/31.04 (v124(constB69, bitIndex1)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9252, 1746, 9112])).
% 48.57/31.04 tff(9254,plain,
% 48.57/31.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB69) | (~v124(constB69, bitIndex1)) | v121(constB69, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB69) | (~v124(constB69, bitIndex1)) | v121(constB69, bitIndex1))),
% 48.57/31.04 inference(rewrite,[status(thm)],[])).
% 48.57/31.04 tff(9255,plain,
% 48.57/31.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB69) | (~v124(constB69, bitIndex1)) | v121(constB69, bitIndex1))),
% 48.57/31.04 inference(quant_inst,[status(thm)],[])).
% 48.57/31.04 tff(9256,plain,
% 48.57/31.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB69) | (~v124(constB69, bitIndex1)) | v121(constB69, bitIndex1)),
% 48.57/31.04 inference(modus_ponens,[status(thm)],[9255, 9254])).
% 48.57/31.04 tff(9257,plain,
% 48.57/31.04 ((~v124(constB69, bitIndex1)) | v121(constB69, bitIndex1)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9256, 857, 9148])).
% 48.57/31.04 tff(9258,plain,
% 48.57/31.04 (v121(constB69, bitIndex1)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9257, 9253])).
% 48.57/31.04 tff(9259,plain,
% 48.57/31.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex1)) | v123(constB70, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex1)) | v123(constB70, bitIndex1))),
% 48.57/31.04 inference(rewrite,[status(thm)],[])).
% 48.57/31.04 tff(9260,plain,
% 48.57/31.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex1)) | v123(constB70, bitIndex1))),
% 48.57/31.04 inference(quant_inst,[status(thm)],[])).
% 48.57/31.04 tff(9261,plain,
% 48.57/31.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex1)) | v123(constB70, bitIndex1)),
% 48.57/31.04 inference(modus_ponens,[status(thm)],[9260, 9259])).
% 48.57/31.04 tff(9262,plain,
% 48.57/31.04 ((~v121(constB69, bitIndex1)) | v123(constB70, bitIndex1)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9261, 872, 9166])).
% 48.57/31.04 tff(9263,plain,
% 48.57/31.04 (v123(constB70, bitIndex1)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9262, 9258])).
% 48.57/31.04 tff(9264,plain,
% 48.57/31.04 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)) | (~v94(constB70)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)) | (~v94(constB70)))),
% 48.57/31.04 inference(rewrite,[status(thm)],[])).
% 48.57/31.04 tff(9265,plain,
% 48.57/31.04 ((v84(constB70, bitIndex1) | (~v94(constB70)) | (~v123(constB70, bitIndex1))) <=> (v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)) | (~v94(constB70)))),
% 48.57/31.04 inference(rewrite,[status(thm)],[])).
% 48.57/31.04 tff(9266,plain,
% 48.57/31.04 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~v94(constB70)) | (~v123(constB70, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)) | (~v94(constB70))))),
% 48.57/31.04 inference(monotonicity,[status(thm)],[9265])).
% 48.57/31.04 tff(9267,plain,
% 48.57/31.04 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~v94(constB70)) | (~v123(constB70, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)) | (~v94(constB70)))),
% 48.57/31.04 inference(transitivity,[status(thm)],[9266, 9264])).
% 48.57/31.04 tff(9268,plain,
% 48.57/31.04 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~v94(constB70)) | (~v123(constB70, bitIndex1)))),
% 48.57/31.04 inference(quant_inst,[status(thm)],[])).
% 48.57/31.04 tff(9269,plain,
% 48.57/31.04 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)) | (~v94(constB70))),
% 48.57/31.04 inference(modus_ponens,[status(thm)],[9268, 9267])).
% 48.57/31.04 tff(9270,plain,
% 48.57/31.04 (v84(constB70, bitIndex1) | (~v94(constB70))),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9269, 887, 9263])).
% 48.57/31.04 tff(9271,plain,
% 48.57/31.04 (v84(constB70, bitIndex1)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9270, 9200])).
% 48.57/31.04 tff(9272,plain,
% 48.57/31.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex1))),
% 48.57/31.04 inference(rewrite,[status(thm)],[])).
% 48.57/31.04 tff(9273,plain,
% 48.57/31.04 (((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex1)) | v94(constB71) | v84(constB71, bitIndex1)) <=> ((~v84(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex1))),
% 48.57/31.04 inference(rewrite,[status(thm)],[])).
% 48.57/31.04 tff(9274,plain,
% 48.57/31.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex1)) | v94(constB71) | v84(constB71, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex1)))),
% 48.57/31.04 inference(monotonicity,[status(thm)],[9273])).
% 48.57/31.04 tff(9275,plain,
% 48.57/31.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex1)) | v94(constB71) | v84(constB71, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex1))),
% 48.57/31.04 inference(transitivity,[status(thm)],[9274, 9272])).
% 48.57/31.04 tff(9276,plain,
% 48.57/31.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex1)) | v94(constB71) | v84(constB71, bitIndex1))),
% 48.57/31.04 inference(quant_inst,[status(thm)],[])).
% 48.57/31.04 tff(9277,plain,
% 48.57/31.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex1)),
% 48.57/31.04 inference(modus_ponens,[status(thm)],[9276, 9275])).
% 48.57/31.04 tff(9278,plain,
% 48.57/31.04 ((~v84(constB70, bitIndex1)) | v94(constB71) | v84(constB71, bitIndex1)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9277, 905, 9228])).
% 48.57/31.04 tff(9279,plain,
% 48.57/31.04 ((~v84(constB70, bitIndex1)) | v84(constB71, bitIndex1)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9278, 9240])).
% 48.57/31.04 tff(9280,plain,
% 48.57/31.04 (v84(constB71, bitIndex1)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9279, 9271])).
% 48.57/31.04 tff(9281,plain,
% 48.57/31.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB69)) | v124(constB69, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB69)) | v124(constB69, bitIndex0))),
% 48.57/31.04 inference(rewrite,[status(thm)],[])).
% 48.57/31.04 tff(9282,plain,
% 48.57/31.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB69)) | v124(constB69, bitIndex0))),
% 48.57/31.04 inference(quant_inst,[status(thm)],[])).
% 48.57/31.04 tff(9283,plain,
% 48.57/31.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB69)) | v124(constB69, bitIndex0)),
% 48.57/31.04 inference(modus_ponens,[status(thm)],[9282, 9281])).
% 48.57/31.04 tff(9284,plain,
% 48.57/31.04 (v124(constB69, bitIndex0)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9283, 1784, 9112])).
% 48.57/31.04 tff(9285,plain,
% 48.57/31.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0))),
% 48.57/31.04 inference(rewrite,[status(thm)],[])).
% 48.57/31.04 tff(9286,plain,
% 48.57/31.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0))),
% 48.57/31.04 inference(quant_inst,[status(thm)],[])).
% 48.57/31.04 tff(9287,plain,
% 48.57/31.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0)),
% 48.57/31.04 inference(modus_ponens,[status(thm)],[9286, 9285])).
% 48.57/31.04 tff(9288,plain,
% 48.57/31.04 ((~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9287, 1391, 9148])).
% 48.57/31.04 tff(9289,plain,
% 48.57/31.04 (v121(constB69, bitIndex0)),
% 48.57/31.04 inference(unit_resolution,[status(thm)],[9288, 9284])).
% 48.57/31.04 tff(9290,plain,
% 48.57/31.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0))),
% 48.57/31.04 inference(rewrite,[status(thm)],[])).
% 48.57/31.04 tff(9291,plain,
% 48.57/31.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9292,plain,
% 48.57/31.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0)),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9291, 9290])).
% 48.57/31.05 tff(9293,plain,
% 48.57/31.05 ((~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9292, 1406, 9166])).
% 48.57/31.05 tff(9294,plain,
% 48.57/31.05 (v123(constB70, bitIndex0)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9293, 9289])).
% 48.57/31.05 tff(9295,plain,
% 48.57/31.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9296,plain,
% 48.57/31.05 ((v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0))) <=> (v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9297,plain,
% 48.57/31.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70))))),
% 48.57/31.05 inference(monotonicity,[status(thm)],[9296])).
% 48.57/31.05 tff(9298,plain,
% 48.57/31.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))),
% 48.57/31.05 inference(transitivity,[status(thm)],[9297, 9295])).
% 48.57/31.05 tff(9299,plain,
% 48.57/31.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0)))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9300,plain,
% 48.57/31.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70))),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9299, 9298])).
% 48.57/31.05 tff(9301,plain,
% 48.57/31.05 (v84(constB70, bitIndex0) | (~v94(constB70))),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9300, 1421, 9294])).
% 48.57/31.05 tff(9302,plain,
% 48.57/31.05 (v84(constB70, bitIndex0)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9301, 9200])).
% 48.57/31.05 tff(9303,plain,
% 48.57/31.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9304,plain,
% 48.57/31.05 (((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0)) <=> ((~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9305,plain,
% 48.57/31.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0)))),
% 48.57/31.05 inference(monotonicity,[status(thm)],[9304])).
% 48.57/31.05 tff(9306,plain,
% 48.57/31.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))),
% 48.57/31.05 inference(transitivity,[status(thm)],[9305, 9303])).
% 48.57/31.05 tff(9307,plain,
% 48.57/31.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9308,plain,
% 48.57/31.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0)),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9307, 9306])).
% 48.57/31.05 tff(9309,plain,
% 48.57/31.05 ((~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9308, 1439, 9228])).
% 48.57/31.05 tff(9310,plain,
% 48.57/31.05 ((~v84(constB70, bitIndex0)) | v84(constB71, bitIndex0)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9309, 9240])).
% 48.57/31.05 tff(9311,plain,
% 48.57/31.05 (v84(constB71, bitIndex0)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9310, 9302])).
% 48.57/31.05 tff(9312,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v116(constB71))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v116(constB71))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9313,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v116(constB71))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9314,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v116(constB71)),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9313, 9312])).
% 48.57/31.05 tff(9315,plain,
% 48.57/31.05 (v116(constB71)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9314, 1825, 9311, 9280, 9249])).
% 48.57/31.05 tff(9316,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB71)) | v124(constB71, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB71)) | v124(constB71, bitIndex2))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9317,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB71)) | v124(constB71, bitIndex2))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9318,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB71)) | v124(constB71, bitIndex2)),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9317, 9316])).
% 48.57/31.05 tff(9319,plain,
% 48.57/31.05 (v124(constB71, bitIndex2)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9318, 1923, 9315])).
% 48.57/31.05 tff(9320,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB71)) | v110(constB71))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB71)) | v110(constB71))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9321,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB71)) | v110(constB71))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9322,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB71)) | v110(constB71)),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 48.57/31.05 tff(9323,plain,
% 48.57/31.05 (v110(constB71)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9322, 1836, 9315])).
% 48.57/31.05 tff(9324,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB71) | (~v110(constB71)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB71) | (~v110(constB71)))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9325,plain,
% 48.57/31.05 (((~v110(constB71)) | v109(constB71)) <=> (v109(constB71) | (~v110(constB71)))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9326,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB71)) | v109(constB71))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB71) | (~v110(constB71))))),
% 48.57/31.05 inference(monotonicity,[status(thm)],[9325])).
% 48.57/31.05 tff(9327,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB71)) | v109(constB71))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB71) | (~v110(constB71)))),
% 48.57/31.05 inference(transitivity,[status(thm)],[9326, 9324])).
% 48.57/31.05 tff(9328,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB71)) | v109(constB71))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9329,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB71) | (~v110(constB71))),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9328, 9327])).
% 48.57/31.05 tff(9330,plain,
% 48.57/31.05 (v109(constB71)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9329, 306, 9323])).
% 48.57/31.05 tff(9331,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v109(constB71)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v109(constB71)))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9332,plain,
% 48.57/31.05 (((~v109(constB71)) | v108(constB71)) <=> (v108(constB71) | (~v109(constB71)))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9333,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v109(constB71))))),
% 48.57/31.05 inference(monotonicity,[status(thm)],[9332])).
% 48.57/31.05 tff(9334,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v109(constB71)))),
% 48.57/31.05 inference(transitivity,[status(thm)],[9333, 9331])).
% 48.57/31.05 tff(9335,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB71)) | v108(constB71))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9336,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v109(constB71))),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9335, 9334])).
% 48.57/31.05 tff(9337,plain,
% 48.57/31.05 (v108(constB71)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9336, 320, 9330])).
% 48.57/31.05 tff(9338,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB71) | (~v108(constB71)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB71) | (~v108(constB71)))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9339,plain,
% 48.57/31.05 (((~v108(constB71)) | v107(constB71)) <=> (v107(constB71) | (~v108(constB71)))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9340,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB71)) | v107(constB71))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB71) | (~v108(constB71))))),
% 48.57/31.05 inference(monotonicity,[status(thm)],[9339])).
% 48.57/31.05 tff(9341,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB71)) | v107(constB71))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB71) | (~v108(constB71)))),
% 48.57/31.05 inference(transitivity,[status(thm)],[9340, 9338])).
% 48.57/31.05 tff(9342,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB71)) | v107(constB71))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9343,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB71) | (~v108(constB71))),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9342, 9341])).
% 48.57/31.05 tff(9344,plain,
% 48.57/31.05 (v107(constB71)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9343, 334, 9337])).
% 48.57/31.05 tff(9345,assumption,(v26(constB71)), introduced(assumption)).
% 48.57/31.05 tff(9346,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9347,plain,
% 48.57/31.05 ($false),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9346, 55, 9345])).
% 48.57/31.05 tff(9348,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 48.57/31.05 tff(9349,assumption,(~v26(constB71)), introduced(assumption)).
% 48.57/31.05 tff(9350,assumption,(v107(constB71)), introduced(assumption)).
% 48.57/31.05 tff(9351,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | v106(constB71) | (~v107(constB71)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9352,plain,
% 48.57/31.05 ((v26(constB71) | (~v107(constB71)) | v106(constB71)) <=> (v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9353,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | v106(constB71) | (~v107(constB71))))),
% 48.57/31.05 inference(monotonicity,[status(thm)],[9352])).
% 48.57/31.05 tff(9354,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 48.57/31.05 inference(transitivity,[status(thm)],[9353, 9351])).
% 48.57/31.05 tff(9355,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9356,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71))),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9355, 9354])).
% 48.57/31.05 tff(9357,plain,
% 48.57/31.05 (v26(constB71) | v106(constB71)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9356, 348, 9350])).
% 48.57/31.05 tff(9358,plain,
% 48.57/31.05 (v106(constB71)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9357, 9349])).
% 48.57/31.05 tff(9359,assumption,(v124(constB71, bitIndex2)), introduced(assumption)).
% 48.57/31.05 tff(9360,plain,
% 48.57/31.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9361,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9362,plain,
% 48.57/31.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2)),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9361, 9360])).
% 48.57/31.05 tff(9363,plain,
% 48.57/31.05 (v26(constB71) | v121(constB71, bitIndex2)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9362, 374, 9359])).
% 48.57/31.05 tff(9364,plain,
% 48.57/31.05 (v121(constB71, bitIndex2)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9363, 9349])).
% 48.57/31.05 tff(9365,plain,
% 48.57/31.05 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9366,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 48.57/31.05 tff(9367,plain,
% 48.57/31.05 (nextState(constB71, constB72)),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9366, 9365])).
% 48.57/31.05 tff(9368,plain,
% 48.57/31.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9369,plain,
% 48.57/31.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2))),
% 48.57/31.05 inference(quant_inst,[status(thm)],[])).
% 48.57/31.05 tff(9370,plain,
% 48.57/31.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2)),
% 48.57/31.05 inference(modus_ponens,[status(thm)],[9369, 9368])).
% 48.57/31.05 tff(9371,plain,
% 48.57/31.05 ((~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9370, 389, 9367])).
% 48.57/31.05 tff(9372,plain,
% 48.57/31.05 (v123(constB72, bitIndex2)),
% 48.57/31.05 inference(unit_resolution,[status(thm)],[9371, 9364])).
% 48.57/31.05 tff(9373,assumption,(~v84(constB72, bitIndex2)), introduced(assumption)).
% 48.57/31.05 tff(9374,plain,
% 48.57/31.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9375,plain,
% 48.57/31.05 ((v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2))) <=> (v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))),
% 48.57/31.05 inference(rewrite,[status(thm)],[])).
% 48.57/31.05 tff(9376,plain,
% 48.57/31.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72))))),
% 48.57/31.06 inference(monotonicity,[status(thm)],[9375])).
% 48.57/31.06 tff(9377,plain,
% 48.57/31.06 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))),
% 48.57/31.06 inference(transitivity,[status(thm)],[9376, 9374])).
% 48.57/31.06 tff(9378,plain,
% 48.57/31.06 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2)))),
% 48.57/31.06 inference(quant_inst,[status(thm)],[])).
% 48.57/31.06 tff(9379,plain,
% 48.57/31.06 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72))),
% 48.57/31.06 inference(modus_ponens,[status(thm)],[9378, 9377])).
% 48.57/31.06 tff(9380,plain,
% 48.57/31.06 ((~v123(constB72, bitIndex2)) | (~v94(constB72))),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9379, 405, 9373])).
% 48.57/31.06 tff(9381,plain,
% 48.57/31.06 (~v94(constB72)),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9380, 9372])).
% 48.57/31.06 tff(9382,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9383,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))),
% 48.57/31.06 inference(quant_inst,[status(thm)],[])).
% 48.57/31.06 tff(9384,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72))),
% 48.57/31.06 inference(modus_ponens,[status(thm)],[9383, 9382])).
% 48.57/31.06 tff(9385,plain,
% 48.57/31.06 (~v98(constB72)),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9384, 423, 9367, 9225])).
% 48.57/31.06 tff(9386,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9387,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))),
% 48.57/31.06 inference(quant_inst,[status(thm)],[])).
% 48.57/31.06 tff(9388,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB71, constB72)) | v96(constB72) | v98(constB72)),
% 48.57/31.06 inference(modus_ponens,[status(thm)],[9387, 9386])).
% 48.57/31.06 tff(9389,plain,
% 48.57/31.06 (v96(constB72) | v98(constB72)),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9388, 437, 9367])).
% 48.57/31.06 tff(9390,plain,
% 48.57/31.06 (v96(constB72)),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9389, 9385])).
% 48.57/31.06 tff(9391,plain,
% 48.57/31.06 (v1(constB72) <=> v1(constB72)),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9392,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 48.57/31.06 tff(9393,plain,
% 48.57/31.06 (v1(constB72)),
% 48.57/31.06 inference(modus_ponens,[status(thm)],[9392, 9391])).
% 48.57/31.06 tff(9394,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9395,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))),
% 48.57/31.06 inference(quant_inst,[status(thm)],[])).
% 48.57/31.06 tff(9396,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72))),
% 48.57/31.06 inference(modus_ponens,[status(thm)],[9395, 9394])).
% 48.57/31.06 tff(9397,plain,
% 48.57/31.06 (v95(constB72) | (~v96(constB72))),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9396, 455, 9367, 9393])).
% 48.57/31.06 tff(9398,plain,
% 48.57/31.06 (v95(constB72)),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9397, 9390])).
% 48.57/31.06 tff(9399,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9400,plain,
% 48.57/31.06 (((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72)) <=> ((~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9401,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72))))),
% 48.57/31.06 inference(monotonicity,[status(thm)],[9400])).
% 48.57/31.06 tff(9402,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))),
% 48.57/31.06 inference(transitivity,[status(thm)],[9401, 9399])).
% 48.57/31.06 tff(9403,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))),
% 48.57/31.06 inference(quant_inst,[status(thm)],[])).
% 48.57/31.06 tff(9404,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72))),
% 48.57/31.06 inference(modus_ponens,[status(thm)],[9403, 9402])).
% 48.57/31.06 tff(9405,plain,
% 48.57/31.06 (v94(constB72) | (~v95(constB72)) | (~v104(constB72))),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9404, 470, 9367])).
% 48.57/31.06 tff(9406,plain,
% 48.57/31.06 (v94(constB72) | (~v104(constB72))),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9405, 9398])).
% 48.57/31.06 tff(9407,plain,
% 48.57/31.06 (~v104(constB72)),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9406, 9381])).
% 48.57/31.06 tff(9408,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9409,plain,
% 48.57/31.06 (((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72)) <=> ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9410,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71))))),
% 48.57/31.06 inference(monotonicity,[status(thm)],[9409])).
% 48.57/31.06 tff(9411,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 48.57/31.06 inference(transitivity,[status(thm)],[9410, 9408])).
% 48.57/31.06 tff(9412,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))),
% 48.57/31.06 inference(quant_inst,[status(thm)],[])).
% 48.57/31.06 tff(9413,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71))),
% 48.57/31.06 inference(modus_ponens,[status(thm)],[9412, 9411])).
% 48.57/31.06 tff(9414,plain,
% 48.57/31.06 (v104(constB72) | (~v102(constB71))),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9413, 489, 9367])).
% 48.57/31.06 tff(9415,plain,
% 48.57/31.06 (~v102(constB71)),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9414, 9407])).
% 48.57/31.06 tff(9416,plain,
% 48.57/31.06 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB71) | (~v106(constB71)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB71) | (~v106(constB71)))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9417,plain,
% 48.57/31.06 (((~v106(constB71)) | v102(constB71)) <=> (v102(constB71) | (~v106(constB71)))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9418,plain,
% 48.57/31.06 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB71)) | v102(constB71))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB71) | (~v106(constB71))))),
% 48.57/31.06 inference(monotonicity,[status(thm)],[9417])).
% 48.57/31.06 tff(9419,plain,
% 48.57/31.06 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB71)) | v102(constB71))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB71) | (~v106(constB71)))),
% 48.57/31.06 inference(transitivity,[status(thm)],[9418, 9416])).
% 48.57/31.06 tff(9420,plain,
% 48.57/31.06 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB71)) | v102(constB71))),
% 48.57/31.06 inference(quant_inst,[status(thm)],[])).
% 48.57/31.06 tff(9421,plain,
% 48.57/31.06 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB71) | (~v106(constB71))),
% 48.57/31.06 inference(modus_ponens,[status(thm)],[9420, 9419])).
% 48.57/31.06 tff(9422,plain,
% 48.57/31.06 ($false),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9421, 504, 9415, 9358])).
% 48.57/31.06 tff(9423,plain,(v26(constB71) | v84(constB72, bitIndex2) | (~v107(constB71)) | (~v124(constB71, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 48.57/31.06 tff(9424,plain,
% 48.57/31.06 (v84(constB72, bitIndex2) | (~v107(constB71)) | (~v124(constB71, bitIndex2))),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9423, 9348])).
% 48.57/31.06 tff(9425,plain,
% 48.57/31.06 (v84(constB72, bitIndex2)),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9424, 9344, 9319])).
% 48.57/31.06 tff(9426,plain,
% 48.57/31.06 ((~v1(constB73)) <=> (~v1(constB73))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9427,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 48.57/31.06 tff(9428,plain,
% 48.57/31.06 (~v1(constB73)),
% 48.57/31.06 inference(modus_ponens,[status(thm)],[9427, 9426])).
% 48.57/31.06 tff(9429,plain,
% 48.57/31.06 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9430,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 48.57/31.06 tff(9431,plain,
% 48.57/31.06 (nextState(constB72, constB73)),
% 48.57/31.06 inference(modus_ponens,[status(thm)],[9430, 9429])).
% 48.57/31.06 tff(9432,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9433,plain,
% 48.57/31.06 (((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9434,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73))))),
% 48.57/31.06 inference(monotonicity,[status(thm)],[9433])).
% 48.57/31.06 tff(9435,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 48.57/31.06 inference(transitivity,[status(thm)],[9434, 9432])).
% 48.57/31.06 tff(9436,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))),
% 48.57/31.06 inference(quant_inst,[status(thm)],[])).
% 48.57/31.06 tff(9437,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73))),
% 48.57/31.06 inference(modus_ponens,[status(thm)],[9436, 9435])).
% 48.57/31.06 tff(9438,plain,
% 48.57/31.06 (~v95(constB73)),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9437, 110, 9431, 9428])).
% 48.57/31.06 tff(9439,plain,
% 48.57/31.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))),
% 48.57/31.06 inference(rewrite,[status(thm)],[])).
% 48.57/31.06 tff(9440,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))),
% 48.57/31.06 inference(quant_inst,[status(thm)],[])).
% 48.57/31.06 tff(9441,plain,
% 48.57/31.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73))),
% 48.57/31.06 inference(modus_ponens,[status(thm)],[9440, 9439])).
% 48.57/31.06 tff(9442,plain,
% 48.57/31.06 (v95(constB73) | (~v94(constB73))),
% 48.57/31.06 inference(unit_resolution,[status(thm)],[9441, 127, 9431])).
% 48.57/31.07 tff(9443,plain,
% 48.57/31.07 (~v94(constB73)),
% 48.57/31.07 inference(unit_resolution,[status(thm)],[9442, 9438])).
% 48.57/31.07 tff(9444,plain,
% 48.57/31.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))),
% 48.57/31.07 inference(rewrite,[status(thm)],[])).
% 48.57/31.07 tff(9445,plain,
% 48.57/31.07 (((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2)) <=> ((~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))),
% 48.57/31.07 inference(rewrite,[status(thm)],[])).
% 48.57/31.07 tff(9446,plain,
% 48.57/31.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2)))),
% 48.57/31.07 inference(monotonicity,[status(thm)],[9445])).
% 48.57/31.07 tff(9447,plain,
% 48.57/31.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))),
% 48.57/31.07 inference(transitivity,[status(thm)],[9446, 9444])).
% 48.57/31.07 tff(9448,plain,
% 48.57/31.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2))),
% 48.57/31.07 inference(quant_inst,[status(thm)],[])).
% 48.57/31.07 tff(9449,plain,
% 48.57/31.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2)),
% 48.57/31.07 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 48.57/31.07 tff(9450,plain,
% 48.57/31.07 ((~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2)),
% 48.57/31.07 inference(unit_resolution,[status(thm)],[9449, 576, 9431])).
% 48.57/31.07 tff(9451,plain,
% 48.57/31.07 ((~v84(constB72, bitIndex2)) | v84(constB73, bitIndex2)),
% 48.57/31.07 inference(unit_resolution,[status(thm)],[9450, 9443])).
% 48.57/31.07 tff(9452,plain,
% 48.57/31.07 (v84(constB73, bitIndex2)),
% 48.57/31.07 inference(unit_resolution,[status(thm)],[9451, 9425])).
% 48.57/31.07 tff(9453,plain,
% 48.57/31.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB71, bitIndex2) | (~nextState(constB71, constB72)) | v94(constB72) | (~v84(constB72, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB71, bitIndex2) | (~nextState(constB71, constB72)) | v94(constB72) | (~v84(constB72, bitIndex2)))),
% 48.57/31.07 inference(rewrite,[status(thm)],[])).
% 48.57/31.07 tff(9454,plain,
% 48.57/31.07 (((~nextState(constB71, constB72)) | v84(constB71, bitIndex2) | v94(constB72) | (~v84(constB72, bitIndex2))) <=> (v84(constB71, bitIndex2) | (~nextState(constB71, constB72)) | v94(constB72) | (~v84(constB72, bitIndex2)))),
% 48.57/31.07 inference(rewrite,[status(thm)],[])).
% 48.57/31.07 tff(9455,plain,
% 48.57/31.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB71, constB72)) | v84(constB71, bitIndex2) | v94(constB72) | (~v84(constB72, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB71, bitIndex2) | (~nextState(constB71, constB72)) | v94(constB72) | (~v84(constB72, bitIndex2))))),
% 48.57/31.07 inference(monotonicity,[status(thm)],[9454])).
% 48.57/31.07 tff(9456,plain,
% 48.57/31.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB71, constB72)) | v84(constB71, bitIndex2) | v94(constB72) | (~v84(constB72, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB71, bitIndex2) | (~nextState(constB71, constB72)) | v94(constB72) | (~v84(constB72, bitIndex2)))),
% 48.57/31.07 inference(transitivity,[status(thm)],[9455, 9453])).
% 48.57/31.07 tff(9457,plain,
% 48.57/31.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB71, constB72)) | v84(constB71, bitIndex2) | v94(constB72) | (~v84(constB72, bitIndex2)))),
% 48.57/31.07 inference(quant_inst,[status(thm)],[])).
% 48.57/31.07 tff(9458,plain,
% 48.57/31.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB71, bitIndex2) | (~nextState(constB71, constB72)) | v94(constB72) | (~v84(constB72, bitIndex2))),
% 48.57/31.07 inference(modus_ponens,[status(thm)],[9457, 9456])).
% 48.57/31.07 tff(9459,plain,
% 48.57/31.07 (v84(constB71, bitIndex2) | v94(constB72) | (~v84(constB72, bitIndex2))),
% 48.57/31.07 inference(unit_resolution,[status(thm)],[9458, 142, 9367])).
% 48.57/31.07 tff(9460,plain,
% 48.57/31.07 (v94(constB72)),
% 48.57/31.07 inference(unit_resolution,[status(thm)],[9459, 9425, 9249])).
% 48.57/31.07 tff(9461,plain,
% 48.57/31.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB71)) | (~v124(constB71, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB71)) | (~v124(constB71, bitIndex1)))),
% 48.57/31.07 inference(rewrite,[status(thm)],[])).
% 48.57/31.07 tff(9462,plain,
% 48.57/31.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB71)) | (~v124(constB71, bitIndex1)))),
% 48.57/31.07 inference(quant_inst,[status(thm)],[])).
% 48.57/31.07 tff(9463,plain,
% 48.57/31.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB71)) | (~v124(constB71, bitIndex1))),
% 48.57/31.07 inference(modus_ponens,[status(thm)],[9462, 9461])).
% 48.57/31.07 tff(9464,plain,
% 48.57/31.07 (~v124(constB71, bitIndex1)),
% 48.57/31.07 inference(unit_resolution,[status(thm)],[9463, 1979, 9315])).
% 48.57/31.07 tff(9465,plain,
% 48.57/31.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB71, bitIndex1)) | v26(constB71) | v124(constB71, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB71, bitIndex1)) | v26(constB71) | v124(constB71, bitIndex1))),
% 48.57/31.07 inference(rewrite,[status(thm)],[])).
% 48.57/31.07 tff(9466,plain,
% 48.57/31.07 ((v26(constB71) | v124(constB71, bitIndex1) | (~v121(constB71, bitIndex1))) <=> ((~v121(constB71, bitIndex1)) | v26(constB71) | v124(constB71, bitIndex1))),
% 48.57/31.07 inference(rewrite,[status(thm)],[])).
% 48.57/31.07 tff(9467,plain,
% 48.57/31.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB71) | v124(constB71, bitIndex1) | (~v121(constB71, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB71, bitIndex1)) | v26(constB71) | v124(constB71, bitIndex1)))),
% 48.57/31.07 inference(monotonicity,[status(thm)],[9466])).
% 48.57/31.07 tff(9468,plain,
% 48.57/31.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB71) | v124(constB71, bitIndex1) | (~v121(constB71, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB71, bitIndex1)) | v26(constB71) | v124(constB71, bitIndex1))),
% 48.57/31.07 inference(transitivity,[status(thm)],[9467, 9465])).
% 48.57/31.07 tff(9469,plain,
% 48.57/31.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB71) | v124(constB71, bitIndex1) | (~v121(constB71, bitIndex1)))),
% 48.57/31.07 inference(quant_inst,[status(thm)],[])).
% 48.57/31.07 tff(9470,plain,
% 48.57/31.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB71, bitIndex1)) | v26(constB71) | v124(constB71, bitIndex1)),
% 48.57/31.07 inference(modus_ponens,[status(thm)],[9469, 9468])).
% 48.57/31.07 tff(9471,plain,
% 48.57/31.07 ((~v121(constB71, bitIndex1)) | v124(constB71, bitIndex1)),
% 48.57/31.07 inference(unit_resolution,[status(thm)],[9470, 233, 9348])).
% 48.57/31.07 tff(9472,plain,
% 48.57/31.07 (~v121(constB71, bitIndex1)),
% 48.57/31.07 inference(unit_resolution,[status(thm)],[9471, 9464])).
% 48.57/31.07 tff(9473,plain,
% 48.57/31.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB71, constB72)) | v121(constB71, bitIndex1) | (~v123(constB72, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB71, constB72)) | v121(constB71, bitIndex1) | (~v123(constB72, bitIndex1)))),
% 48.57/31.07 inference(rewrite,[status(thm)],[])).
% 48.57/31.07 tff(9474,plain,
% 48.57/31.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB71, constB72)) | v121(constB71, bitIndex1) | (~v123(constB72, bitIndex1)))),
% 48.57/31.07 inference(quant_inst,[status(thm)],[])).
% 48.57/31.07 tff(9475,plain,
% 48.57/31.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB71, constB72)) | v121(constB71, bitIndex1) | (~v123(constB72, bitIndex1))),
% 48.57/31.07 inference(modus_ponens,[status(thm)],[9474, 9473])).
% 48.57/31.07 tff(9476,plain,
% 48.57/31.07 (v121(constB71, bitIndex1) | (~v123(constB72, bitIndex1))),
% 48.57/31.07 inference(unit_resolution,[status(thm)],[9475, 254, 9367])).
% 48.57/31.07 tff(9477,plain,
% 48.57/31.07 (~v123(constB72, bitIndex1)),
% 48.57/31.07 inference(unit_resolution,[status(thm)],[9476, 9472])).
% 48.57/31.07 tff(9478,plain,
% 48.57/31.07 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | v123(constB72, bitIndex1) | (~v94(constB72)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB72, bitIndex1)) | v123(constB72, bitIndex1) | (~v94(constB72)))),
% 48.57/31.07 inference(rewrite,[status(thm)],[])).
% 48.57/31.07 tff(9479,plain,
% 48.57/31.07 (((~v84(constB72, bitIndex1)) | (~v94(constB72)) | v123(constB72, bitIndex1)) <=> ((~v84(constB72, bitIndex1)) | v123(constB72, bitIndex1) | (~v94(constB72)))),
% 48.57/31.07 inference(rewrite,[status(thm)],[])).
% 48.57/31.07 tff(9480,plain,
% 48.57/31.07 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | (~v94(constB72)) | v123(constB72, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | v123(constB72, bitIndex1) | (~v94(constB72))))),
% 48.57/31.07 inference(monotonicity,[status(thm)],[9479])).
% 48.57/31.07 tff(9481,plain,
% 48.57/31.07 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | (~v94(constB72)) | v123(constB72, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB72, bitIndex1)) | v123(constB72, bitIndex1) | (~v94(constB72)))),
% 48.57/31.08 inference(transitivity,[status(thm)],[9480, 9478])).
% 48.57/31.08 tff(9482,plain,
% 48.57/31.08 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | (~v94(constB72)) | v123(constB72, bitIndex1))),
% 48.57/31.08 inference(quant_inst,[status(thm)],[])).
% 48.57/31.08 tff(9483,plain,
% 48.57/31.08 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB72, bitIndex1)) | v123(constB72, bitIndex1) | (~v94(constB72))),
% 48.57/31.08 inference(modus_ponens,[status(thm)],[9482, 9481])).
% 48.57/31.08 tff(9484,plain,
% 48.57/31.08 ((~v84(constB72, bitIndex1)) | (~v94(constB72))),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9483, 532, 9477])).
% 48.57/31.08 tff(9485,plain,
% 48.57/31.08 (~v84(constB72, bitIndex1)),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9484, 9460])).
% 48.57/31.08 tff(9486,plain,
% 48.57/31.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex1)))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9487,plain,
% 48.57/31.08 (((~nextState(constB72, constB73)) | v84(constB72, bitIndex1) | v94(constB73) | (~v84(constB73, bitIndex1))) <=> (v84(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex1)))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9488,plain,
% 48.57/31.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex1) | v94(constB73) | (~v84(constB73, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex1))))),
% 48.57/31.08 inference(monotonicity,[status(thm)],[9487])).
% 48.57/31.08 tff(9489,plain,
% 48.57/31.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex1) | v94(constB73) | (~v84(constB73, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex1)))),
% 48.57/31.08 inference(transitivity,[status(thm)],[9488, 9486])).
% 48.57/31.08 tff(9490,plain,
% 48.57/31.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex1) | v94(constB73) | (~v84(constB73, bitIndex1)))),
% 48.57/31.08 inference(quant_inst,[status(thm)],[])).
% 48.57/31.08 tff(9491,plain,
% 48.57/31.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex1))),
% 48.57/31.08 inference(modus_ponens,[status(thm)],[9490, 9489])).
% 48.57/31.08 tff(9492,plain,
% 48.57/31.08 (v84(constB72, bitIndex1) | v94(constB73) | (~v84(constB73, bitIndex1))),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9491, 163, 9431])).
% 48.57/31.08 tff(9493,plain,
% 48.57/31.08 (v84(constB72, bitIndex1) | (~v84(constB73, bitIndex1))),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9492, 9443])).
% 48.57/31.08 tff(9494,plain,
% 48.57/31.08 (~v84(constB73, bitIndex1)),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9493, 9485])).
% 48.57/31.08 tff(9495,plain,
% 48.57/31.08 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB71)) | (~v124(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB71)) | (~v124(constB71, bitIndex0)))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9496,plain,
% 48.57/31.08 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB71)) | (~v124(constB71, bitIndex0)))),
% 48.57/31.08 inference(quant_inst,[status(thm)],[])).
% 48.57/31.08 tff(9497,plain,
% 48.57/31.08 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB71)) | (~v124(constB71, bitIndex0))),
% 48.57/31.08 inference(modus_ponens,[status(thm)],[9496, 9495])).
% 48.57/31.08 tff(9498,plain,
% 48.57/31.08 (~v124(constB71, bitIndex0)),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9497, 2020, 9315])).
% 48.57/31.08 tff(9499,plain,
% 48.57/31.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9500,plain,
% 48.57/31.08 ((v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0))) <=> ((~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9501,plain,
% 48.57/31.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0)))),
% 48.57/31.08 inference(monotonicity,[status(thm)],[9500])).
% 48.57/31.08 tff(9502,plain,
% 48.57/31.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))),
% 48.57/31.08 inference(transitivity,[status(thm)],[9501, 9499])).
% 48.57/31.08 tff(9503,plain,
% 48.57/31.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))),
% 48.57/31.08 inference(quant_inst,[status(thm)],[])).
% 48.57/31.08 tff(9504,plain,
% 48.57/31.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0)),
% 48.57/31.08 inference(modus_ponens,[status(thm)],[9503, 9502])).
% 48.57/31.08 tff(9505,plain,
% 48.57/31.08 ((~v121(constB71, bitIndex0)) | v124(constB71, bitIndex0)),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9504, 607, 9348])).
% 48.57/31.08 tff(9506,plain,
% 48.57/31.08 (~v121(constB71, bitIndex0)),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9505, 9498])).
% 48.57/31.08 tff(9507,plain,
% 48.57/31.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0)))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9508,plain,
% 48.57/31.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0)))),
% 48.57/31.08 inference(quant_inst,[status(thm)],[])).
% 48.57/31.08 tff(9509,plain,
% 48.57/31.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0))),
% 48.57/31.08 inference(modus_ponens,[status(thm)],[9508, 9507])).
% 48.57/31.08 tff(9510,plain,
% 48.57/31.08 (v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0))),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9509, 637, 9367])).
% 48.57/31.08 tff(9511,plain,
% 48.57/31.08 (~v123(constB72, bitIndex0)),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9510, 9506])).
% 48.57/31.08 tff(9512,plain,
% 48.57/31.08 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9513,plain,
% 48.57/31.08 (((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0)) <=> ((~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9514,plain,
% 48.57/31.08 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72))))),
% 48.57/31.08 inference(monotonicity,[status(thm)],[9513])).
% 48.57/31.08 tff(9515,plain,
% 48.57/31.08 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))),
% 48.57/31.08 inference(transitivity,[status(thm)],[9514, 9512])).
% 48.57/31.08 tff(9516,plain,
% 48.57/31.08 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0))),
% 48.57/31.08 inference(quant_inst,[status(thm)],[])).
% 48.57/31.08 tff(9517,plain,
% 48.57/31.08 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72))),
% 48.57/31.08 inference(modus_ponens,[status(thm)],[9516, 9515])).
% 48.57/31.08 tff(9518,plain,
% 48.57/31.08 ((~v84(constB72, bitIndex0)) | (~v94(constB72))),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9517, 652, 9511])).
% 48.57/31.08 tff(9519,plain,
% 48.57/31.08 (~v84(constB72, bitIndex0)),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9518, 9460])).
% 48.57/31.08 tff(9520,plain,
% 48.57/31.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9521,plain,
% 48.57/31.08 (((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0))) <=> (v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9522,plain,
% 48.57/31.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0))))),
% 48.57/31.08 inference(monotonicity,[status(thm)],[9521])).
% 48.57/31.08 tff(9523,plain,
% 48.57/31.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 48.57/31.08 inference(transitivity,[status(thm)],[9522, 9520])).
% 48.57/31.08 tff(9524,plain,
% 48.57/31.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 48.57/31.08 inference(quant_inst,[status(thm)],[])).
% 48.57/31.08 tff(9525,plain,
% 48.57/31.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0))),
% 48.57/31.08 inference(modus_ponens,[status(thm)],[9524, 9523])).
% 48.57/31.08 tff(9526,plain,
% 48.57/31.08 (v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0))),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9525, 184, 9431])).
% 48.57/31.08 tff(9527,plain,
% 48.57/31.08 (v84(constB72, bitIndex0) | (~v84(constB73, bitIndex0))),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9526, 9443])).
% 48.57/31.08 tff(9528,plain,
% 48.57/31.08 (~v84(constB73, bitIndex0)),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9527, 9519])).
% 48.57/31.08 tff(9529,plain,
% 48.57/31.08 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9530,plain,
% 48.57/31.08 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73))),
% 48.57/31.08 inference(quant_inst,[status(thm)],[])).
% 48.57/31.08 tff(9531,plain,
% 48.57/31.08 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73)),
% 48.57/31.08 inference(modus_ponens,[status(thm)],[9530, 9529])).
% 48.57/31.08 tff(9532,plain,
% 48.57/31.08 (v172(constB73)),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9531, 679, 9528, 9494, 9452])).
% 48.57/31.08 tff(9533,plain,
% 48.57/31.08 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB73) | (~v172(constB73)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB73) | (~v172(constB73)))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9534,plain,
% 48.57/31.08 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB73) | (~v172(constB73)))),
% 48.57/31.08 inference(quant_inst,[status(thm)],[])).
% 48.57/31.08 tff(9535,plain,
% 48.57/31.08 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB73) | (~v172(constB73))),
% 48.57/31.08 inference(modus_ponens,[status(thm)],[9534, 9533])).
% 48.57/31.08 tff(9536,plain,
% 48.57/31.08 (v109(constB73)),
% 48.57/31.08 inference(unit_resolution,[status(thm)],[9535, 740, 9532])).
% 48.57/31.08 tff(9537,plain,
% 48.57/31.08 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB73)) | v108(constB73))),
% 48.57/31.08 inference(rewrite,[status(thm)],[])).
% 48.57/31.08 tff(9538,plain,
% 48.57/31.08 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB73)) | v108(constB73))),
% 48.57/31.09 inference(quant_inst,[status(thm)],[])).
% 48.57/31.09 tff(9539,plain,
% 48.57/31.09 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB73)) | v108(constB73)),
% 48.57/31.09 inference(modus_ponens,[status(thm)],[9538, 9537])).
% 48.57/31.09 tff(9540,plain,
% 48.57/31.09 (v108(constB73)),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9539, 320, 9536])).
% 48.57/31.09 tff(9541,plain,
% 48.57/31.09 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB73) | (~v108(constB73)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB73) | (~v108(constB73)))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9542,plain,
% 48.57/31.09 (((~v108(constB73)) | v107(constB73)) <=> (v107(constB73) | (~v108(constB73)))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9543,plain,
% 48.57/31.09 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB73)) | v107(constB73))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB73) | (~v108(constB73))))),
% 48.57/31.09 inference(monotonicity,[status(thm)],[9542])).
% 48.57/31.09 tff(9544,plain,
% 48.57/31.09 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB73)) | v107(constB73))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB73) | (~v108(constB73)))),
% 48.57/31.09 inference(transitivity,[status(thm)],[9543, 9541])).
% 48.57/31.09 tff(9545,plain,
% 48.57/31.09 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB73)) | v107(constB73))),
% 48.57/31.09 inference(quant_inst,[status(thm)],[])).
% 48.57/31.09 tff(9546,plain,
% 48.57/31.09 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB73) | (~v108(constB73))),
% 48.57/31.09 inference(modus_ponens,[status(thm)],[9545, 9544])).
% 48.57/31.09 tff(9547,plain,
% 48.57/31.09 (v107(constB73)),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9546, 334, 9540])).
% 48.57/31.09 tff(9548,assumption,(v26(constB73)), introduced(assumption)).
% 48.57/31.09 tff(9549,plain,
% 48.57/31.09 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 48.57/31.09 inference(quant_inst,[status(thm)],[])).
% 48.57/31.09 tff(9550,plain,
% 48.57/31.09 ($false),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9549, 55, 9548])).
% 48.57/31.09 tff(9551,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 48.57/31.09 tff(9552,plain,
% 48.57/31.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | v106(constB73) | (~v107(constB73)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9553,plain,
% 48.57/31.09 ((v26(constB73) | (~v107(constB73)) | v106(constB73)) <=> (v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9554,plain,
% 48.57/31.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | v106(constB73) | (~v107(constB73))))),
% 48.57/31.09 inference(monotonicity,[status(thm)],[9553])).
% 48.57/31.09 tff(9555,plain,
% 48.57/31.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 48.57/31.09 inference(transitivity,[status(thm)],[9554, 9552])).
% 48.57/31.09 tff(9556,plain,
% 48.57/31.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))),
% 48.57/31.09 inference(quant_inst,[status(thm)],[])).
% 48.57/31.09 tff(9557,plain,
% 48.57/31.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73))),
% 48.57/31.09 inference(modus_ponens,[status(thm)],[9556, 9555])).
% 48.57/31.09 tff(9558,plain,
% 48.57/31.09 (v106(constB73) | (~v107(constB73))),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9557, 348, 9551])).
% 48.57/31.09 tff(9559,plain,
% 48.57/31.09 (v106(constB73)),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9558, 9547])).
% 48.57/31.09 tff(9560,plain,
% 48.57/31.09 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB73) | (~v106(constB73)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB73) | (~v106(constB73)))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9561,plain,
% 48.57/31.09 (((~v106(constB73)) | v102(constB73)) <=> (v102(constB73) | (~v106(constB73)))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9562,plain,
% 48.57/31.09 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB73)) | v102(constB73))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB73) | (~v106(constB73))))),
% 48.57/31.09 inference(monotonicity,[status(thm)],[9561])).
% 48.57/31.09 tff(9563,plain,
% 48.57/31.09 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB73)) | v102(constB73))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB73) | (~v106(constB73)))),
% 48.57/31.09 inference(transitivity,[status(thm)],[9562, 9560])).
% 48.57/31.09 tff(9564,plain,
% 48.57/31.09 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB73)) | v102(constB73))),
% 48.57/31.09 inference(quant_inst,[status(thm)],[])).
% 48.57/31.09 tff(9565,plain,
% 48.57/31.09 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB73) | (~v106(constB73))),
% 48.57/31.09 inference(modus_ponens,[status(thm)],[9564, 9563])).
% 48.57/31.09 tff(9566,plain,
% 48.57/31.09 (v102(constB73)),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9565, 504, 9559])).
% 48.57/31.09 tff(9567,plain,
% 48.57/31.09 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9568,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 48.57/31.09 tff(9569,plain,
% 48.57/31.09 (nextState(constB73, constB74)),
% 48.57/31.09 inference(modus_ponens,[status(thm)],[9568, 9567])).
% 48.57/31.09 tff(9570,plain,
% 48.57/31.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9571,plain,
% 48.57/31.09 (((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74)) <=> ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9572,plain,
% 48.57/31.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73))))),
% 48.57/31.09 inference(monotonicity,[status(thm)],[9571])).
% 48.57/31.09 tff(9573,plain,
% 48.57/31.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 48.57/31.09 inference(transitivity,[status(thm)],[9572, 9570])).
% 48.57/31.09 tff(9574,plain,
% 48.57/31.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))),
% 48.57/31.09 inference(quant_inst,[status(thm)],[])).
% 48.57/31.09 tff(9575,plain,
% 48.57/31.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73))),
% 48.57/31.09 inference(modus_ponens,[status(thm)],[9574, 9573])).
% 48.57/31.09 tff(9576,plain,
% 48.57/31.09 (v104(constB74) | (~v102(constB73))),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9575, 489, 9569])).
% 48.57/31.09 tff(9577,plain,
% 48.57/31.09 (v104(constB74)),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9576, 9566])).
% 48.57/31.09 tff(9578,plain,
% 48.57/31.09 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9579,plain,
% 48.57/31.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))),
% 48.57/31.09 inference(quant_inst,[status(thm)],[])).
% 48.57/31.09 tff(9580,plain,
% 48.57/31.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74))),
% 48.57/31.09 inference(modus_ponens,[status(thm)],[9579, 9578])).
% 48.57/31.09 tff(9581,plain,
% 48.57/31.09 (~v98(constB74)),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9580, 423, 9569, 9428])).
% 48.57/31.09 tff(9582,plain,
% 48.57/31.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9583,plain,
% 48.57/31.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))),
% 48.57/31.09 inference(quant_inst,[status(thm)],[])).
% 48.57/31.09 tff(9584,plain,
% 48.57/31.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB73, constB74)) | v96(constB74) | v98(constB74)),
% 48.57/31.09 inference(modus_ponens,[status(thm)],[9583, 9582])).
% 48.57/31.09 tff(9585,plain,
% 48.57/31.09 (v96(constB74) | v98(constB74)),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9584, 437, 9569])).
% 48.57/31.09 tff(9586,plain,
% 48.57/31.09 (v96(constB74)),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9585, 9581])).
% 48.57/31.09 tff(9587,plain,
% 48.57/31.09 (v1(constB74) <=> v1(constB74)),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9588,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 48.57/31.09 tff(9589,plain,
% 48.57/31.09 (v1(constB74)),
% 48.57/31.09 inference(modus_ponens,[status(thm)],[9588, 9587])).
% 48.57/31.09 tff(9590,plain,
% 48.57/31.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9591,plain,
% 48.57/31.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))),
% 48.57/31.09 inference(quant_inst,[status(thm)],[])).
% 48.57/31.09 tff(9592,plain,
% 48.57/31.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74))),
% 48.57/31.09 inference(modus_ponens,[status(thm)],[9591, 9590])).
% 48.57/31.09 tff(9593,plain,
% 48.57/31.09 (v95(constB74) | (~v96(constB74))),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9592, 455, 9569, 9589])).
% 48.57/31.09 tff(9594,plain,
% 48.57/31.09 (v95(constB74)),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9593, 9586])).
% 48.57/31.09 tff(9595,plain,
% 48.57/31.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9596,plain,
% 48.57/31.09 (((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74)) <=> ((~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9597,plain,
% 48.57/31.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74))))),
% 48.57/31.09 inference(monotonicity,[status(thm)],[9596])).
% 48.57/31.09 tff(9598,plain,
% 48.57/31.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))),
% 48.57/31.09 inference(transitivity,[status(thm)],[9597, 9595])).
% 48.57/31.09 tff(9599,plain,
% 48.57/31.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))),
% 48.57/31.09 inference(quant_inst,[status(thm)],[])).
% 48.57/31.09 tff(9600,plain,
% 48.57/31.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74))),
% 48.57/31.09 inference(modus_ponens,[status(thm)],[9599, 9598])).
% 48.57/31.09 tff(9601,plain,
% 48.57/31.09 (v94(constB74) | (~v95(constB74)) | (~v104(constB74))),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9600, 470, 9569])).
% 48.57/31.09 tff(9602,plain,
% 48.57/31.09 (v94(constB74) | (~v104(constB74))),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9601, 9594])).
% 48.57/31.09 tff(9603,plain,
% 48.57/31.09 (v94(constB74)),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9602, 9577])).
% 48.57/31.09 tff(9604,plain,
% 48.57/31.09 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB73)) | v124(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB73)) | v124(constB73, bitIndex2))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9605,plain,
% 48.57/31.09 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB73)) | v124(constB73, bitIndex2))),
% 48.57/31.09 inference(quant_inst,[status(thm)],[])).
% 48.57/31.09 tff(9606,plain,
% 48.57/31.09 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB73)) | v124(constB73, bitIndex2)),
% 48.57/31.09 inference(modus_ponens,[status(thm)],[9605, 9604])).
% 48.57/31.09 tff(9607,plain,
% 48.57/31.09 (v124(constB73, bitIndex2)),
% 48.57/31.09 inference(unit_resolution,[status(thm)],[9606, 691, 9532])).
% 48.57/31.09 tff(9608,plain,
% 48.57/31.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB73) | (~v124(constB73, bitIndex2)) | v121(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB73) | (~v124(constB73, bitIndex2)) | v121(constB73, bitIndex2))),
% 48.57/31.09 inference(rewrite,[status(thm)],[])).
% 48.57/31.09 tff(9609,plain,
% 48.57/31.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB73) | (~v124(constB73, bitIndex2)) | v121(constB73, bitIndex2))),
% 48.57/31.09 inference(quant_inst,[status(thm)],[])).
% 48.57/31.09 tff(9610,plain,
% 48.57/31.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB73) | (~v124(constB73, bitIndex2)) | v121(constB73, bitIndex2)),
% 48.57/31.10 inference(modus_ponens,[status(thm)],[9609, 9608])).
% 48.57/31.10 tff(9611,plain,
% 48.57/31.10 ((~v124(constB73, bitIndex2)) | v121(constB73, bitIndex2)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9610, 374, 9551])).
% 48.57/31.10 tff(9612,plain,
% 48.57/31.10 (v121(constB73, bitIndex2)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9611, 9607])).
% 48.57/31.10 tff(9613,plain,
% 48.57/31.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex2)) | v123(constB74, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex2)) | v123(constB74, bitIndex2))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9614,plain,
% 48.57/31.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex2)) | v123(constB74, bitIndex2))),
% 48.57/31.10 inference(quant_inst,[status(thm)],[])).
% 48.57/31.10 tff(9615,plain,
% 48.57/31.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex2)) | v123(constB74, bitIndex2)),
% 48.57/31.10 inference(modus_ponens,[status(thm)],[9614, 9613])).
% 48.57/31.10 tff(9616,plain,
% 48.57/31.10 ((~v121(constB73, bitIndex2)) | v123(constB74, bitIndex2)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9615, 389, 9569])).
% 48.57/31.10 tff(9617,plain,
% 48.57/31.10 (v123(constB74, bitIndex2)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9616, 9612])).
% 48.57/31.10 tff(9618,plain,
% 48.57/31.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~v123(constB74, bitIndex2)) | (~v94(constB74)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB74, bitIndex2) | (~v123(constB74, bitIndex2)) | (~v94(constB74)))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9619,plain,
% 48.57/31.10 ((v84(constB74, bitIndex2) | (~v94(constB74)) | (~v123(constB74, bitIndex2))) <=> (v84(constB74, bitIndex2) | (~v123(constB74, bitIndex2)) | (~v94(constB74)))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9620,plain,
% 48.57/31.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~v94(constB74)) | (~v123(constB74, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~v123(constB74, bitIndex2)) | (~v94(constB74))))),
% 48.57/31.10 inference(monotonicity,[status(thm)],[9619])).
% 48.57/31.10 tff(9621,plain,
% 48.57/31.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~v94(constB74)) | (~v123(constB74, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB74, bitIndex2) | (~v123(constB74, bitIndex2)) | (~v94(constB74)))),
% 48.57/31.10 inference(transitivity,[status(thm)],[9620, 9618])).
% 48.57/31.10 tff(9622,plain,
% 48.57/31.10 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~v94(constB74)) | (~v123(constB74, bitIndex2)))),
% 48.57/31.10 inference(quant_inst,[status(thm)],[])).
% 48.57/31.10 tff(9623,plain,
% 48.57/31.10 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB74, bitIndex2) | (~v123(constB74, bitIndex2)) | (~v94(constB74))),
% 48.57/31.10 inference(modus_ponens,[status(thm)],[9622, 9621])).
% 48.57/31.10 tff(9624,plain,
% 48.57/31.10 (v84(constB74, bitIndex2) | (~v94(constB74))),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9623, 405, 9617])).
% 48.57/31.10 tff(9625,plain,
% 48.57/31.10 (v84(constB74, bitIndex2)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9624, 9603])).
% 48.57/31.10 tff(9626,plain,
% 48.57/31.10 ((~v1(constB75)) <=> (~v1(constB75))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9627,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 48.57/31.10 tff(9628,plain,
% 48.57/31.10 (~v1(constB75)),
% 48.57/31.10 inference(modus_ponens,[status(thm)],[9627, 9626])).
% 48.57/31.10 tff(9629,plain,
% 48.57/31.10 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9630,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 48.57/31.10 tff(9631,plain,
% 48.57/31.10 (nextState(constB74, constB75)),
% 48.57/31.10 inference(modus_ponens,[status(thm)],[9630, 9629])).
% 48.57/31.10 tff(9632,plain,
% 48.57/31.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9633,plain,
% 48.57/31.10 (((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9634,plain,
% 48.57/31.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75))))),
% 48.57/31.10 inference(monotonicity,[status(thm)],[9633])).
% 48.57/31.10 tff(9635,plain,
% 48.57/31.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 48.57/31.10 inference(transitivity,[status(thm)],[9634, 9632])).
% 48.57/31.10 tff(9636,plain,
% 48.57/31.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))),
% 48.57/31.10 inference(quant_inst,[status(thm)],[])).
% 48.57/31.10 tff(9637,plain,
% 48.57/31.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75))),
% 48.57/31.10 inference(modus_ponens,[status(thm)],[9636, 9635])).
% 48.57/31.10 tff(9638,plain,
% 48.57/31.10 (~v95(constB75)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9637, 110, 9631, 9628])).
% 48.57/31.10 tff(9639,plain,
% 48.57/31.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9640,plain,
% 48.57/31.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))),
% 48.57/31.10 inference(quant_inst,[status(thm)],[])).
% 48.57/31.10 tff(9641,plain,
% 48.57/31.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75))),
% 48.57/31.10 inference(modus_ponens,[status(thm)],[9640, 9639])).
% 48.57/31.10 tff(9642,plain,
% 48.57/31.10 (v95(constB75) | (~v94(constB75))),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9641, 127, 9631])).
% 48.57/31.10 tff(9643,plain,
% 48.57/31.10 (~v94(constB75)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9642, 9638])).
% 48.57/31.10 tff(9644,plain,
% 48.57/31.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex2))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9645,plain,
% 48.57/31.10 (((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex2)) | v94(constB75) | v84(constB75, bitIndex2)) <=> ((~v84(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex2))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9646,plain,
% 48.57/31.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex2)) | v94(constB75) | v84(constB75, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex2)))),
% 48.57/31.10 inference(monotonicity,[status(thm)],[9645])).
% 48.57/31.10 tff(9647,plain,
% 48.57/31.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex2)) | v94(constB75) | v84(constB75, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex2))),
% 48.57/31.10 inference(transitivity,[status(thm)],[9646, 9644])).
% 48.57/31.10 tff(9648,plain,
% 48.57/31.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex2)) | v94(constB75) | v84(constB75, bitIndex2))),
% 48.57/31.10 inference(quant_inst,[status(thm)],[])).
% 48.57/31.10 tff(9649,plain,
% 48.57/31.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex2)),
% 48.57/31.10 inference(modus_ponens,[status(thm)],[9648, 9647])).
% 48.57/31.10 tff(9650,plain,
% 48.57/31.10 ((~v84(constB74, bitIndex2)) | v94(constB75) | v84(constB75, bitIndex2)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9649, 576, 9631])).
% 48.57/31.10 tff(9651,plain,
% 48.57/31.10 ((~v84(constB74, bitIndex2)) | v84(constB75, bitIndex2)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9650, 9643])).
% 48.57/31.10 tff(9652,plain,
% 48.57/31.10 (v84(constB75, bitIndex2)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9651, 9625])).
% 48.57/31.10 tff(9653,plain,
% 48.57/31.10 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB75)) | (~v84(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB75)) | (~v84(constB75, bitIndex2)))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9654,plain,
% 48.57/31.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB75)) | (~v84(constB75, bitIndex2)))),
% 48.57/31.10 inference(quant_inst,[status(thm)],[])).
% 48.57/31.10 tff(9655,plain,
% 48.57/31.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB75)) | (~v84(constB75, bitIndex2))),
% 48.57/31.10 inference(modus_ponens,[status(thm)],[9654, 9653])).
% 48.57/31.10 tff(9656,plain,
% 48.57/31.10 (~v115(constB75)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9655, 1036, 9652])).
% 48.57/31.10 tff(9657,plain,
% 48.57/31.10 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB73)) | v124(constB73, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB73)) | v124(constB73, bitIndex1))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9658,plain,
% 48.57/31.10 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB73)) | v124(constB73, bitIndex1))),
% 48.57/31.10 inference(quant_inst,[status(thm)],[])).
% 48.57/31.10 tff(9659,plain,
% 48.57/31.10 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB73)) | v124(constB73, bitIndex1)),
% 48.57/31.10 inference(modus_ponens,[status(thm)],[9658, 9657])).
% 48.57/31.10 tff(9660,plain,
% 48.57/31.10 (v124(constB73, bitIndex1)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9659, 843, 9532])).
% 48.57/31.10 tff(9661,plain,
% 48.57/31.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB73) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB73) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9662,plain,
% 48.57/31.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB73) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1))),
% 48.57/31.10 inference(quant_inst,[status(thm)],[])).
% 48.57/31.10 tff(9663,plain,
% 48.57/31.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB73) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1)),
% 48.57/31.10 inference(modus_ponens,[status(thm)],[9662, 9661])).
% 48.57/31.10 tff(9664,plain,
% 48.57/31.10 ((~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9663, 857, 9551])).
% 48.57/31.10 tff(9665,plain,
% 48.57/31.10 (v121(constB73, bitIndex1)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9664, 9660])).
% 48.57/31.10 tff(9666,plain,
% 48.57/31.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex1)) | v123(constB74, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex1)) | v123(constB74, bitIndex1))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9667,plain,
% 48.57/31.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex1)) | v123(constB74, bitIndex1))),
% 48.57/31.10 inference(quant_inst,[status(thm)],[])).
% 48.57/31.10 tff(9668,plain,
% 48.57/31.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex1)) | v123(constB74, bitIndex1)),
% 48.57/31.10 inference(modus_ponens,[status(thm)],[9667, 9666])).
% 48.57/31.10 tff(9669,plain,
% 48.57/31.10 ((~v121(constB73, bitIndex1)) | v123(constB74, bitIndex1)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9668, 872, 9569])).
% 48.57/31.10 tff(9670,plain,
% 48.57/31.10 (v123(constB74, bitIndex1)),
% 48.57/31.10 inference(unit_resolution,[status(thm)],[9669, 9665])).
% 48.57/31.10 tff(9671,plain,
% 48.57/31.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)) | (~v94(constB74)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)) | (~v94(constB74)))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9672,plain,
% 48.57/31.10 ((v84(constB74, bitIndex1) | (~v94(constB74)) | (~v123(constB74, bitIndex1))) <=> (v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)) | (~v94(constB74)))),
% 48.57/31.10 inference(rewrite,[status(thm)],[])).
% 48.57/31.10 tff(9673,plain,
% 48.57/31.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~v94(constB74)) | (~v123(constB74, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)) | (~v94(constB74))))),
% 48.57/31.11 inference(monotonicity,[status(thm)],[9672])).
% 48.57/31.11 tff(9674,plain,
% 48.57/31.11 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~v94(constB74)) | (~v123(constB74, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)) | (~v94(constB74)))),
% 48.57/31.11 inference(transitivity,[status(thm)],[9673, 9671])).
% 48.57/31.11 tff(9675,plain,
% 48.57/31.11 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~v94(constB74)) | (~v123(constB74, bitIndex1)))),
% 48.57/31.11 inference(quant_inst,[status(thm)],[])).
% 48.57/31.11 tff(9676,plain,
% 48.57/31.11 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)) | (~v94(constB74))),
% 48.57/31.11 inference(modus_ponens,[status(thm)],[9675, 9674])).
% 48.57/31.11 tff(9677,plain,
% 48.57/31.11 (v84(constB74, bitIndex1) | (~v94(constB74))),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9676, 887, 9670])).
% 48.57/31.11 tff(9678,plain,
% 48.57/31.11 (v84(constB74, bitIndex1)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9677, 9603])).
% 48.57/31.11 tff(9679,plain,
% 48.57/31.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex1))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9680,plain,
% 48.57/31.11 (((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex1)) | v94(constB75) | v84(constB75, bitIndex1)) <=> ((~v84(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex1))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9681,plain,
% 48.57/31.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex1)) | v94(constB75) | v84(constB75, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex1)))),
% 48.57/31.11 inference(monotonicity,[status(thm)],[9680])).
% 48.57/31.11 tff(9682,plain,
% 48.57/31.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex1)) | v94(constB75) | v84(constB75, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex1))),
% 48.57/31.11 inference(transitivity,[status(thm)],[9681, 9679])).
% 48.57/31.11 tff(9683,plain,
% 48.57/31.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex1)) | v94(constB75) | v84(constB75, bitIndex1))),
% 48.57/31.11 inference(quant_inst,[status(thm)],[])).
% 48.57/31.11 tff(9684,plain,
% 48.57/31.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex1)),
% 48.57/31.11 inference(modus_ponens,[status(thm)],[9683, 9682])).
% 48.57/31.11 tff(9685,plain,
% 48.57/31.11 ((~v84(constB74, bitIndex1)) | v94(constB75) | v84(constB75, bitIndex1)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9684, 905, 9631])).
% 48.57/31.11 tff(9686,plain,
% 48.57/31.11 ((~v84(constB74, bitIndex1)) | v84(constB75, bitIndex1)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9685, 9643])).
% 48.57/31.11 tff(9687,plain,
% 48.57/31.11 (v84(constB75, bitIndex1)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9686, 9678])).
% 48.57/31.11 tff(9688,plain,
% 48.57/31.11 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB75)) | (~v84(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB75)) | (~v84(constB75, bitIndex1)))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9689,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB75)) | (~v84(constB75, bitIndex1)))),
% 48.57/31.11 inference(quant_inst,[status(thm)],[])).
% 48.57/31.11 tff(9690,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB75)) | (~v84(constB75, bitIndex1))),
% 48.57/31.11 inference(modus_ponens,[status(thm)],[9689, 9688])).
% 48.57/31.11 tff(9691,plain,
% 48.57/31.11 (~v118(constB75)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9690, 1069, 9687])).
% 48.57/31.11 tff(9692,plain,
% 48.57/31.11 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB75)) | (~v84(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB75)) | (~v84(constB75, bitIndex1)))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9693,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB75)) | (~v84(constB75, bitIndex1)))),
% 48.57/31.11 inference(quant_inst,[status(thm)],[])).
% 48.57/31.11 tff(9694,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB75)) | (~v84(constB75, bitIndex1))),
% 48.57/31.11 inference(modus_ponens,[status(thm)],[9693, 9692])).
% 48.57/31.11 tff(9695,plain,
% 48.57/31.11 (~v145(constB75)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9694, 1091, 9687])).
% 48.57/31.11 tff(9696,plain,
% 48.57/31.11 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB75)) | (~v84(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB75)) | (~v84(constB75, bitIndex1)))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9697,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB75)) | (~v84(constB75, bitIndex1)))),
% 48.57/31.11 inference(quant_inst,[status(thm)],[])).
% 48.57/31.11 tff(9698,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB75)) | (~v84(constB75, bitIndex1))),
% 48.57/31.11 inference(modus_ponens,[status(thm)],[9697, 9696])).
% 48.57/31.11 tff(9699,plain,
% 48.57/31.11 (~v172(constB75)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9698, 1080, 9687])).
% 48.57/31.11 tff(9700,plain,
% 48.57/31.11 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB75)) | (~v84(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB75)) | (~v84(constB75, bitIndex2)))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9701,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB75)) | (~v84(constB75, bitIndex2)))),
% 48.57/31.11 inference(quant_inst,[status(thm)],[])).
% 48.57/31.11 tff(9702,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB75)) | (~v84(constB75, bitIndex2))),
% 48.57/31.11 inference(modus_ponens,[status(thm)],[9701, 9700])).
% 48.57/31.11 tff(9703,plain,
% 48.57/31.11 (~v116(constB75)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9702, 1047, 9652])).
% 48.57/31.11 tff(9704,assumption,(v113(constB75)), introduced(assumption)).
% 48.57/31.11 tff(9705,plain,
% 48.57/31.11 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB75)) | (~v84(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB75)) | (~v84(constB75, bitIndex2)))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9706,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB75)) | (~v84(constB75, bitIndex2)))),
% 48.57/31.11 inference(quant_inst,[status(thm)],[])).
% 48.57/31.11 tff(9707,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB75)) | (~v84(constB75, bitIndex2))),
% 48.57/31.11 inference(modus_ponens,[status(thm)],[9706, 9705])).
% 48.57/31.11 tff(9708,plain,
% 48.57/31.11 (~v84(constB75, bitIndex2)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9707, 4280, 9704])).
% 48.57/31.11 tff(9709,plain,
% 48.57/31.11 (~v84(constB74, bitIndex2)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9651, 9708])).
% 48.57/31.11 tff(9710,plain,
% 48.57/31.11 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB75)) | (~v84(constB75, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB75)) | (~v84(constB75, bitIndex0)))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9711,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB75)) | (~v84(constB75, bitIndex0)))),
% 48.57/31.11 inference(quant_inst,[status(thm)],[])).
% 48.57/31.11 tff(9712,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB75)) | (~v84(constB75, bitIndex0))),
% 48.57/31.11 inference(modus_ponens,[status(thm)],[9711, 9710])).
% 48.57/31.11 tff(9713,plain,
% 48.57/31.11 (~v84(constB75, bitIndex0)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9712, 3212, 9704])).
% 48.57/31.11 tff(9714,plain,
% 48.57/31.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9715,plain,
% 48.57/31.11 (((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0)) <=> ((~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9716,plain,
% 48.57/31.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0)))),
% 48.57/31.11 inference(monotonicity,[status(thm)],[9715])).
% 48.57/31.11 tff(9717,plain,
% 48.57/31.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0))),
% 48.57/31.11 inference(transitivity,[status(thm)],[9716, 9714])).
% 48.57/31.11 tff(9718,plain,
% 48.57/31.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0))),
% 48.57/31.11 inference(quant_inst,[status(thm)],[])).
% 48.57/31.11 tff(9719,plain,
% 48.57/31.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0)),
% 48.57/31.11 inference(modus_ponens,[status(thm)],[9718, 9717])).
% 48.57/31.11 tff(9720,plain,
% 48.57/31.11 ((~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9719, 1439, 9631])).
% 48.57/31.11 tff(9721,plain,
% 48.57/31.11 ((~v84(constB74, bitIndex0)) | v84(constB75, bitIndex0)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9720, 9643])).
% 48.57/31.11 tff(9722,plain,
% 48.57/31.11 (~v84(constB74, bitIndex0)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9721, 9713])).
% 48.57/31.11 tff(9723,plain,
% 48.57/31.11 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB75)) | (~v84(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB75)) | (~v84(constB75, bitIndex1)))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9724,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB75)) | (~v84(constB75, bitIndex1)))),
% 48.57/31.11 inference(quant_inst,[status(thm)],[])).
% 48.57/31.11 tff(9725,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB75)) | (~v84(constB75, bitIndex1))),
% 48.57/31.11 inference(modus_ponens,[status(thm)],[9724, 9723])).
% 48.57/31.11 tff(9726,plain,
% 48.57/31.11 (~v84(constB75, bitIndex1)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9725, 1058, 9704])).
% 48.57/31.11 tff(9727,plain,
% 48.57/31.11 (~v84(constB74, bitIndex1)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9686, 9726])).
% 48.57/31.11 tff(9728,assumption,(~v84(constB74, bitIndex0)), introduced(assumption)).
% 48.57/31.11 tff(9729,assumption,(~v84(constB74, bitIndex1)), introduced(assumption)).
% 48.57/31.11 tff(9730,assumption,(~v84(constB73, bitIndex2)), introduced(assumption)).
% 48.57/31.11 tff(9731,assumption,(~v94(constB74)), introduced(assumption)).
% 48.57/31.11 tff(9732,plain,
% 48.57/31.11 (~v104(constB74)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9602, 9731])).
% 48.57/31.11 tff(9733,plain,
% 48.57/31.11 (~v102(constB73)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9576, 9732])).
% 48.57/31.11 tff(9734,plain,
% 48.57/31.11 (~v106(constB73)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9565, 504, 9733])).
% 48.57/31.11 tff(9735,plain,
% 48.57/31.11 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB73) | (~v26(constB73)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB73) | (~v26(constB73)))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9736,plain,
% 48.57/31.11 (((~v26(constB73)) | v102(constB73)) <=> (v102(constB73) | (~v26(constB73)))),
% 48.57/31.11 inference(rewrite,[status(thm)],[])).
% 48.57/31.11 tff(9737,plain,
% 48.57/31.11 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB73)) | v102(constB73))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB73) | (~v26(constB73))))),
% 48.57/31.11 inference(monotonicity,[status(thm)],[9736])).
% 48.57/31.11 tff(9738,plain,
% 48.57/31.11 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB73)) | v102(constB73))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB73) | (~v26(constB73)))),
% 48.57/31.11 inference(transitivity,[status(thm)],[9737, 9735])).
% 48.57/31.11 tff(9739,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB73)) | v102(constB73))),
% 48.57/31.11 inference(quant_inst,[status(thm)],[])).
% 48.57/31.11 tff(9740,plain,
% 48.57/31.11 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB73) | (~v26(constB73))),
% 48.57/31.11 inference(modus_ponens,[status(thm)],[9739, 9738])).
% 48.57/31.11 tff(9741,plain,
% 48.57/31.11 (~v26(constB73)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9740, 723, 9733])).
% 48.57/31.11 tff(9742,plain,
% 48.57/31.11 (~v107(constB73)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9557, 348, 9741, 9734])).
% 48.57/31.11 tff(9743,plain,
% 48.57/31.11 (~v108(constB73)),
% 48.57/31.11 inference(unit_resolution,[status(thm)],[9546, 334, 9742])).
% 48.57/31.11 tff(9744,plain,
% 48.57/31.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB73, bitIndex0)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB73, bitIndex0)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex0))),
% 48.57/31.12 inference(rewrite,[status(thm)],[])).
% 48.57/31.12 tff(9745,plain,
% 48.57/31.12 (((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex0)) | v94(constB74) | v84(constB74, bitIndex0)) <=> ((~v84(constB73, bitIndex0)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex0))),
% 48.57/31.12 inference(rewrite,[status(thm)],[])).
% 48.57/31.12 tff(9746,plain,
% 48.57/31.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex0)) | v94(constB74) | v84(constB74, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB73, bitIndex0)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex0)))),
% 48.57/31.12 inference(monotonicity,[status(thm)],[9745])).
% 48.57/31.12 tff(9747,plain,
% 48.57/31.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex0)) | v94(constB74) | v84(constB74, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB73, bitIndex0)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex0))),
% 48.57/31.12 inference(transitivity,[status(thm)],[9746, 9744])).
% 48.57/31.12 tff(9748,plain,
% 48.57/31.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex0)) | v94(constB74) | v84(constB74, bitIndex0))),
% 48.57/31.12 inference(quant_inst,[status(thm)],[])).
% 48.57/31.12 tff(9749,plain,
% 48.57/31.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB73, bitIndex0)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex0)),
% 48.57/31.12 inference(modus_ponens,[status(thm)],[9748, 9747])).
% 48.57/31.12 tff(9750,plain,
% 48.57/31.12 ((~v84(constB73, bitIndex0)) | v94(constB74) | v84(constB74, bitIndex0)),
% 48.57/31.12 inference(unit_resolution,[status(thm)],[9749, 1439, 9569])).
% 48.57/31.12 tff(9751,plain,
% 48.57/31.12 (~v84(constB73, bitIndex0)),
% 48.57/31.12 inference(unit_resolution,[status(thm)],[9750, 9731, 9728])).
% 48.57/31.12 tff(9752,plain,
% 48.57/31.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB73, bitIndex1)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB73, bitIndex1)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex1))),
% 48.57/31.12 inference(rewrite,[status(thm)],[])).
% 48.57/31.12 tff(9753,plain,
% 48.57/31.12 (((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex1)) | v94(constB74) | v84(constB74, bitIndex1)) <=> ((~v84(constB73, bitIndex1)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex1))),
% 48.57/31.12 inference(rewrite,[status(thm)],[])).
% 48.57/31.12 tff(9754,plain,
% 48.57/31.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex1)) | v94(constB74) | v84(constB74, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB73, bitIndex1)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex1)))),
% 48.67/31.12 inference(monotonicity,[status(thm)],[9753])).
% 48.67/31.12 tff(9755,plain,
% 48.67/31.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex1)) | v94(constB74) | v84(constB74, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB73, bitIndex1)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex1))),
% 48.67/31.12 inference(transitivity,[status(thm)],[9754, 9752])).
% 48.67/31.12 tff(9756,plain,
% 48.67/31.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex1)) | v94(constB74) | v84(constB74, bitIndex1))),
% 48.67/31.12 inference(quant_inst,[status(thm)],[])).
% 48.67/31.12 tff(9757,plain,
% 48.67/31.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB73, bitIndex1)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex1)),
% 48.67/31.12 inference(modus_ponens,[status(thm)],[9756, 9755])).
% 48.67/31.12 tff(9758,plain,
% 48.67/31.12 ((~v84(constB73, bitIndex1)) | v94(constB74) | v84(constB74, bitIndex1)),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9757, 905, 9569])).
% 48.67/31.12 tff(9759,plain,
% 48.67/31.12 (~v84(constB73, bitIndex1)),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9758, 9731, 9729])).
% 48.67/31.12 tff(9760,plain,
% 48.67/31.12 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | v113(constB73))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | v113(constB73))),
% 48.67/31.12 inference(rewrite,[status(thm)],[])).
% 48.67/31.12 tff(9761,plain,
% 48.67/31.12 ((v84(constB73, bitIndex0) | v113(constB73) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)) <=> (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | v113(constB73))),
% 48.67/31.12 inference(rewrite,[status(thm)],[])).
% 48.67/31.12 tff(9762,plain,
% 48.67/31.12 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB73, bitIndex0) | v113(constB73) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | v113(constB73)))),
% 48.67/31.12 inference(monotonicity,[status(thm)],[9761])).
% 48.67/31.12 tff(9763,plain,
% 48.67/31.12 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB73, bitIndex0) | v113(constB73) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | v113(constB73))),
% 48.67/31.12 inference(transitivity,[status(thm)],[9762, 9760])).
% 48.67/31.12 tff(9764,plain,
% 48.67/31.12 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB73, bitIndex0) | v113(constB73) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))),
% 48.67/31.12 inference(quant_inst,[status(thm)],[])).
% 48.67/31.12 tff(9765,plain,
% 48.67/31.12 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | v113(constB73)),
% 48.67/31.12 inference(modus_ponens,[status(thm)],[9764, 9763])).
% 48.67/31.12 tff(9766,plain,
% 48.67/31.12 (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v113(constB73)),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9765, 205, 9730])).
% 48.67/31.12 tff(9767,plain,
% 48.67/31.12 (v113(constB73)),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9766, 9759, 9751])).
% 48.67/31.12 tff(9768,plain,
% 48.67/31.12 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB73) | (~v113(constB73)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB73) | (~v113(constB73)))),
% 48.67/31.12 inference(rewrite,[status(thm)],[])).
% 48.67/31.12 tff(9769,plain,
% 48.67/31.12 (((~v113(constB73)) | v112(constB73)) <=> (v112(constB73) | (~v113(constB73)))),
% 48.67/31.12 inference(rewrite,[status(thm)],[])).
% 48.67/31.12 tff(9770,plain,
% 48.67/31.12 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB73) | (~v113(constB73))))),
% 48.67/31.12 inference(monotonicity,[status(thm)],[9769])).
% 48.67/31.12 tff(9771,plain,
% 48.67/31.12 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB73) | (~v113(constB73)))),
% 48.67/31.12 inference(transitivity,[status(thm)],[9770, 9768])).
% 48.67/31.12 tff(9772,plain,
% 48.67/31.12 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB73)) | v112(constB73))),
% 48.67/31.12 inference(quant_inst,[status(thm)],[])).
% 48.67/31.12 tff(9773,plain,
% 48.67/31.12 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB73) | (~v113(constB73))),
% 48.67/31.12 inference(modus_ponens,[status(thm)],[9772, 9771])).
% 48.67/31.12 tff(9774,plain,
% 48.67/31.12 (v112(constB73)),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9773, 267, 9767])).
% 48.67/31.12 tff(9775,plain,
% 48.67/31.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB73) | (~v112(constB73)))),
% 48.67/31.12 inference(rewrite,[status(thm)],[])).
% 48.67/31.12 tff(9776,plain,
% 48.67/31.12 (((~v112(constB73)) | v111(constB73)) <=> (v111(constB73) | (~v112(constB73)))),
% 48.67/31.12 inference(rewrite,[status(thm)],[])).
% 48.67/31.12 tff(9777,plain,
% 48.67/31.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB73)) | v111(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB73) | (~v112(constB73))))),
% 48.67/31.12 inference(monotonicity,[status(thm)],[9776])).
% 48.67/31.12 tff(9778,plain,
% 48.67/31.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB73)) | v111(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB73) | (~v112(constB73)))),
% 48.67/31.12 inference(transitivity,[status(thm)],[9777, 9775])).
% 48.67/31.12 tff(9779,plain,
% 48.67/31.12 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB73)) | v111(constB73))),
% 48.67/31.12 inference(quant_inst,[status(thm)],[])).
% 48.67/31.12 tff(9780,plain,
% 48.67/31.12 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB73) | (~v112(constB73))),
% 48.67/31.12 inference(modus_ponens,[status(thm)],[9779, 9778])).
% 48.67/31.12 tff(9781,plain,
% 48.67/31.12 (v111(constB73)),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9780, 278, 9774])).
% 48.67/31.12 tff(9782,plain,
% 48.67/31.12 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB73)) | v110(constB73))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB73)) | v110(constB73))),
% 48.67/31.12 inference(rewrite,[status(thm)],[])).
% 48.67/31.12 tff(9783,plain,
% 48.67/31.12 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB73)) | v110(constB73))),
% 48.67/31.12 inference(quant_inst,[status(thm)],[])).
% 48.67/31.12 tff(9784,plain,
% 48.67/31.12 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB73)) | v110(constB73)),
% 48.67/31.12 inference(modus_ponens,[status(thm)],[9783, 9782])).
% 48.67/31.12 tff(9785,plain,
% 48.67/31.12 (v110(constB73)),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9784, 292, 9781])).
% 48.67/31.12 tff(9786,plain,
% 48.67/31.12 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB73)) | v109(constB73))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB73)) | v109(constB73))),
% 48.67/31.12 inference(rewrite,[status(thm)],[])).
% 48.67/31.12 tff(9787,plain,
% 48.67/31.12 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB73)) | v109(constB73))),
% 48.67/31.12 inference(quant_inst,[status(thm)],[])).
% 48.67/31.12 tff(9788,plain,
% 48.67/31.12 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB73)) | v109(constB73)),
% 48.67/31.12 inference(modus_ponens,[status(thm)],[9787, 9786])).
% 48.67/31.12 tff(9789,plain,
% 48.67/31.12 (v109(constB73)),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9788, 306, 9785])).
% 48.67/31.12 tff(9790,plain,
% 48.67/31.12 ($false),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9539, 320, 9789, 9743])).
% 48.67/31.12 tff(9791,plain,(v94(constB74) | v84(constB73, bitIndex2) | v84(constB74, bitIndex1) | v84(constB74, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.12 tff(9792,plain,
% 48.67/31.12 (v94(constB74)),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9791, 9730, 9729, 9728])).
% 48.67/31.12 tff(9793,assumption,(~v84(constB74, bitIndex2)), introduced(assumption)).
% 48.67/31.12 tff(9794,plain,
% 48.67/31.12 ((~v123(constB74, bitIndex2)) | (~v94(constB74))),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9623, 405, 9793])).
% 48.67/31.12 tff(9795,plain,
% 48.67/31.12 (~v123(constB74, bitIndex2)),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9794, 9792])).
% 48.67/31.12 tff(9796,plain,
% 48.67/31.12 (~v121(constB73, bitIndex2)),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9616, 9795])).
% 48.67/31.12 tff(9797,plain,
% 48.67/31.12 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74)))),
% 48.67/31.12 inference(rewrite,[status(thm)],[])).
% 48.67/31.12 tff(9798,plain,
% 48.67/31.12 ((v84(constB74, bitIndex0) | (~v94(constB74)) | (~v123(constB74, bitIndex0))) <=> (v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74)))),
% 48.67/31.12 inference(rewrite,[status(thm)],[])).
% 48.67/31.12 tff(9799,plain,
% 48.67/31.12 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v94(constB74)) | (~v123(constB74, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74))))),
% 48.67/31.12 inference(monotonicity,[status(thm)],[9798])).
% 48.67/31.12 tff(9800,plain,
% 48.67/31.12 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v94(constB74)) | (~v123(constB74, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74)))),
% 48.67/31.12 inference(transitivity,[status(thm)],[9799, 9797])).
% 48.67/31.12 tff(9801,plain,
% 48.67/31.12 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v94(constB74)) | (~v123(constB74, bitIndex0)))),
% 48.67/31.12 inference(quant_inst,[status(thm)],[])).
% 48.67/31.12 tff(9802,plain,
% 48.67/31.12 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74))),
% 48.67/31.12 inference(modus_ponens,[status(thm)],[9801, 9800])).
% 48.67/31.12 tff(9803,plain,
% 48.67/31.12 ((~v123(constB74, bitIndex0)) | (~v94(constB74))),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9802, 1421, 9728])).
% 48.67/31.12 tff(9804,plain,
% 48.67/31.12 (~v123(constB74, bitIndex0)),
% 48.67/31.12 inference(unit_resolution,[status(thm)],[9803, 9792])).
% 48.67/31.12 tff(9805,plain,
% 48.67/31.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9806,plain,
% 48.67/31.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0))),
% 48.67/31.13 inference(quant_inst,[status(thm)],[])).
% 48.67/31.13 tff(9807,plain,
% 48.67/31.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0)),
% 48.67/31.13 inference(modus_ponens,[status(thm)],[9806, 9805])).
% 48.67/31.13 tff(9808,plain,
% 48.67/31.13 ((~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9807, 1406, 9569])).
% 48.67/31.13 tff(9809,plain,
% 48.67/31.13 (~v121(constB73, bitIndex0)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9808, 9804])).
% 48.67/31.13 tff(9810,plain,
% 48.67/31.13 ((~v123(constB74, bitIndex1)) | (~v94(constB74))),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9676, 887, 9729])).
% 48.67/31.13 tff(9811,plain,
% 48.67/31.13 (~v123(constB74, bitIndex1)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9810, 9792])).
% 48.67/31.13 tff(9812,plain,
% 48.67/31.13 (~v121(constB73, bitIndex1)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9669, 9811])).
% 48.67/31.13 tff(9813,plain,
% 48.67/31.13 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))) | ((~v172(constB73)) | v84(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))) | (~v172(constB73)) | v84(constB73, bitIndex2))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9814,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))) | ((~v172(constB73)) | v84(constB73, bitIndex2))),
% 48.67/31.13 inference(quant_inst,[status(thm)],[])).
% 48.67/31.13 tff(9815,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v84(VarCurr, bitIndex2))) | (~v172(constB73)) | v84(constB73, bitIndex2)),
% 48.67/31.13 inference(modus_ponens,[status(thm)],[9814, 9813])).
% 48.67/31.13 tff(9816,plain,
% 48.67/31.13 (~v172(constB73)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9815, 3662, 9730])).
% 48.67/31.13 tff(9817,plain,
% 48.67/31.13 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))) | ((~v118(constB73)) | v84(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))) | (~v118(constB73)) | v84(constB73, bitIndex2))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9818,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))) | ((~v118(constB73)) | v84(constB73, bitIndex2))),
% 48.67/31.13 inference(quant_inst,[status(thm)],[])).
% 48.67/31.13 tff(9819,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex2))) | (~v118(constB73)) | v84(constB73, bitIndex2)),
% 48.67/31.13 inference(modus_ponens,[status(thm)],[9818, 9817])).
% 48.67/31.13 tff(9820,plain,
% 48.67/31.13 (~v118(constB73)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9819, 4391, 9730])).
% 48.67/31.13 tff(9821,assumption,(~v26(constB73)), introduced(assumption)).
% 48.67/31.13 tff(9822,assumption,(~v121(constB73, bitIndex0)), introduced(assumption)).
% 48.67/31.13 tff(9823,plain,
% 48.67/31.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB73) | (~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB73) | (~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9824,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB73) | (~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0))),
% 48.67/31.13 inference(quant_inst,[status(thm)],[])).
% 48.67/31.13 tff(9825,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB73) | (~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0)),
% 48.67/31.13 inference(modus_ponens,[status(thm)],[9824, 9823])).
% 48.67/31.13 tff(9826,plain,
% 48.67/31.13 (v26(constB73) | (~v124(constB73, bitIndex0))),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9825, 1391, 9822])).
% 48.67/31.13 tff(9827,plain,
% 48.67/31.13 (~v124(constB73, bitIndex0)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9826, 9821])).
% 48.67/31.13 tff(9828,assumption,(~v121(constB73, bitIndex1)), introduced(assumption)).
% 48.67/31.13 tff(9829,plain,
% 48.67/31.13 (v26(constB73) | (~v124(constB73, bitIndex1))),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9663, 857, 9828])).
% 48.67/31.13 tff(9830,plain,
% 48.67/31.13 (~v124(constB73, bitIndex1)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9829, 9821])).
% 48.67/31.13 tff(9831,plain,
% 48.67/31.13 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB73)) | v124(constB73, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB73)) | v124(constB73, bitIndex1))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9832,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB73)) | v124(constB73, bitIndex1))),
% 48.67/31.13 inference(quant_inst,[status(thm)],[])).
% 48.67/31.13 tff(9833,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB73)) | v124(constB73, bitIndex1)),
% 48.67/31.13 inference(modus_ponens,[status(thm)],[9832, 9831])).
% 48.67/31.13 tff(9834,plain,
% 48.67/31.13 (~v145(constB73)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9833, 1512, 9830])).
% 48.67/31.13 tff(9835,plain,
% 48.67/31.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB73)) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB73)) | v124(constB73, bitIndex0))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9836,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB73)) | v124(constB73, bitIndex0))),
% 48.67/31.13 inference(quant_inst,[status(thm)],[])).
% 48.67/31.13 tff(9837,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB73)) | v124(constB73, bitIndex0)),
% 48.67/31.13 inference(modus_ponens,[status(thm)],[9836, 9835])).
% 48.67/31.13 tff(9838,plain,
% 48.67/31.13 (~v115(constB73)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9837, 1784, 9827])).
% 48.67/31.13 tff(9839,assumption,(~v121(constB73, bitIndex2)), introduced(assumption)).
% 48.67/31.13 tff(9840,plain,
% 48.67/31.13 (v26(constB73) | (~v124(constB73, bitIndex2))),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9610, 374, 9839])).
% 48.67/31.13 tff(9841,plain,
% 48.67/31.13 (~v124(constB73, bitIndex2)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9840, 9821])).
% 48.67/31.13 tff(9842,plain,
% 48.67/31.13 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB73)) | v124(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB73)) | v124(constB73, bitIndex2))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9843,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB73)) | v124(constB73, bitIndex2))),
% 48.67/31.13 inference(quant_inst,[status(thm)],[])).
% 48.67/31.13 tff(9844,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB73)) | v124(constB73, bitIndex2)),
% 48.67/31.13 inference(modus_ponens,[status(thm)],[9843, 9842])).
% 48.67/31.13 tff(9845,plain,
% 48.67/31.13 (~v116(constB73)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9844, 1923, 9841])).
% 48.67/31.13 tff(9846,plain,
% 48.67/31.13 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB73)) | v124(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB73)) | v124(constB73, bitIndex2))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9847,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB73)) | v124(constB73, bitIndex2))),
% 48.67/31.13 inference(quant_inst,[status(thm)],[])).
% 48.67/31.13 tff(9848,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB73)) | v124(constB73, bitIndex2)),
% 48.67/31.13 inference(modus_ponens,[status(thm)],[9847, 9846])).
% 48.67/31.13 tff(9849,plain,
% 48.67/31.13 (~v113(constB73)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9848, 360, 9841])).
% 48.67/31.13 tff(9850,assumption,(~v118(constB73)), introduced(assumption)).
% 48.67/31.13 tff(9851,assumption,(~v172(constB73)), introduced(assumption)).
% 48.67/31.13 tff(9852,plain,
% 48.67/31.13 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB73, bitIndex0) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB73, bitIndex0) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9853,plain,
% 48.67/31.13 ((v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | v124(constB73, bitIndex0)) <=> (v124(constB73, bitIndex0) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9854,plain,
% 48.67/31.13 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB73, bitIndex0) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73)))),
% 48.67/31.13 inference(monotonicity,[status(thm)],[9853])).
% 48.67/31.13 tff(9855,plain,
% 48.67/31.13 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB73, bitIndex0) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))),
% 48.67/31.13 inference(transitivity,[status(thm)],[9854, 9852])).
% 48.67/31.13 tff(9856,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | v124(constB73, bitIndex0))),
% 48.67/31.13 inference(quant_inst,[status(thm)],[])).
% 48.67/31.13 tff(9857,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB73, bitIndex0) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73)),
% 48.67/31.13 inference(modus_ponens,[status(thm)],[9856, 9855])).
% 48.67/31.13 tff(9858,plain,
% 48.67/31.13 (v124(constB73, bitIndex0) | v145(constB73) | v116(constB73) | v115(constB73) | v113(constB73)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9857, 1374, 9851, 9850])).
% 48.67/31.13 tff(9859,plain,
% 48.67/31.13 ($false),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9858, 9849, 9845, 9838, 9834, 9827])).
% 48.67/31.13 tff(9860,plain,(v26(constB73) | v172(constB73) | v118(constB73) | v121(constB73, bitIndex1) | v121(constB73, bitIndex0) | v121(constB73, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.13 tff(9861,plain,
% 48.67/31.13 ($false),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9860, 9820, 9816, 9551, 9812, 9809, 9796])).
% 48.67/31.13 tff(9862,plain,(v84(constB73, bitIndex2) | v84(constB74, bitIndex1) | v84(constB74, bitIndex0) | v84(constB74, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.13 tff(9863,plain,
% 48.67/31.13 (v84(constB73, bitIndex2)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9862, 9727, 9722, 9709])).
% 48.67/31.13 tff(9864,plain,
% 48.67/31.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB73, bitIndex2)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB73, bitIndex2)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex2))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9865,plain,
% 48.67/31.13 (((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex2)) | v94(constB74) | v84(constB74, bitIndex2)) <=> ((~v84(constB73, bitIndex2)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex2))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9866,plain,
% 48.67/31.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex2)) | v94(constB74) | v84(constB74, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB73, bitIndex2)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex2)))),
% 48.67/31.13 inference(monotonicity,[status(thm)],[9865])).
% 48.67/31.13 tff(9867,plain,
% 48.67/31.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex2)) | v94(constB74) | v84(constB74, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB73, bitIndex2)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex2))),
% 48.67/31.13 inference(transitivity,[status(thm)],[9866, 9864])).
% 48.67/31.13 tff(9868,plain,
% 48.67/31.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex2)) | v94(constB74) | v84(constB74, bitIndex2))),
% 48.67/31.13 inference(quant_inst,[status(thm)],[])).
% 48.67/31.13 tff(9869,plain,
% 48.67/31.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB73, bitIndex2)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex2)),
% 48.67/31.13 inference(modus_ponens,[status(thm)],[9868, 9867])).
% 48.67/31.13 tff(9870,plain,
% 48.67/31.13 ((~v84(constB73, bitIndex2)) | v94(constB74) | v84(constB74, bitIndex2)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9869, 576, 9569])).
% 48.67/31.13 tff(9871,plain,
% 48.67/31.13 (v94(constB74)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9870, 9863, 9709])).
% 48.67/31.13 tff(9872,plain,
% 48.67/31.13 ((~v123(constB74, bitIndex0)) | (~v94(constB74))),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9802, 1421, 9722])).
% 48.67/31.13 tff(9873,plain,
% 48.67/31.13 (~v123(constB74, bitIndex0)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9872, 9871])).
% 48.67/31.13 tff(9874,plain,
% 48.67/31.13 (~v121(constB73, bitIndex0)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9808, 9873])).
% 48.67/31.13 tff(9875,plain,
% 48.67/31.13 ((~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9825, 1391, 9551])).
% 48.67/31.13 tff(9876,plain,
% 48.67/31.13 (~v124(constB73, bitIndex0)),
% 48.67/31.13 inference(unit_resolution,[status(thm)],[9875, 9874])).
% 48.67/31.13 tff(9877,plain,
% 48.67/31.13 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB73)) | (~v84(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB73)) | (~v84(constB73, bitIndex2)))),
% 48.67/31.13 inference(rewrite,[status(thm)],[])).
% 48.67/31.13 tff(9878,plain,
% 48.67/31.13 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB73)) | (~v84(constB73, bitIndex2)))),
% 48.67/31.14 inference(quant_inst,[status(thm)],[])).
% 48.67/31.14 tff(9879,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB73)) | (~v84(constB73, bitIndex2))),
% 48.67/31.14 inference(modus_ponens,[status(thm)],[9878, 9877])).
% 48.67/31.14 tff(9880,plain,
% 48.67/31.14 (~v113(constB73)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9879, 4280, 9863])).
% 48.67/31.14 tff(9881,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB73)) | (~v84(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB73)) | (~v84(constB73, bitIndex2)))),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9882,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB73)) | (~v84(constB73, bitIndex2)))),
% 48.67/31.14 inference(quant_inst,[status(thm)],[])).
% 48.67/31.14 tff(9883,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB73)) | (~v84(constB73, bitIndex2))),
% 48.67/31.14 inference(modus_ponens,[status(thm)],[9882, 9881])).
% 48.67/31.14 tff(9884,plain,
% 48.67/31.14 (~v115(constB73)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9883, 1036, 9863])).
% 48.67/31.14 tff(9885,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB73)) | (~v84(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB73)) | (~v84(constB73, bitIndex2)))),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9886,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB73)) | (~v84(constB73, bitIndex2)))),
% 48.67/31.14 inference(quant_inst,[status(thm)],[])).
% 48.67/31.14 tff(9887,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB73)) | (~v84(constB73, bitIndex2))),
% 48.67/31.14 inference(modus_ponens,[status(thm)],[9886, 9885])).
% 48.67/31.14 tff(9888,plain,
% 48.67/31.14 (~v116(constB73)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9887, 1047, 9863])).
% 48.67/31.14 tff(9889,plain,
% 48.67/31.14 ((~v123(constB74, bitIndex2)) | (~v94(constB74))),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9623, 405, 9709])).
% 48.67/31.14 tff(9890,plain,
% 48.67/31.14 (~v123(constB74, bitIndex2)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9889, 9871])).
% 48.67/31.14 tff(9891,plain,
% 48.67/31.14 (~v121(constB73, bitIndex2)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9616, 9890])).
% 48.67/31.14 tff(9892,plain,
% 48.67/31.14 (~v124(constB73, bitIndex2)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9611, 9891])).
% 48.67/31.14 tff(9893,plain,
% 48.67/31.14 (~v172(constB73)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9606, 691, 9892])).
% 48.67/31.14 tff(9894,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB73)) | (~v84(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB73)) | (~v84(constB73, bitIndex2)))),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9895,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB73)) | (~v84(constB73, bitIndex2)))),
% 48.67/31.14 inference(quant_inst,[status(thm)],[])).
% 48.67/31.14 tff(9896,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB73)) | (~v84(constB73, bitIndex2))),
% 48.67/31.14 inference(modus_ponens,[status(thm)],[9895, 9894])).
% 48.67/31.14 tff(9897,plain,
% 48.67/31.14 (~v145(constB73)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9896, 4483, 9863])).
% 48.67/31.14 tff(9898,plain,
% 48.67/31.14 (v118(constB73)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9857, 1374, 9897, 9893, 9876, 9888, 9884, 9880])).
% 48.67/31.14 tff(9899,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB73)) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB73)) | v124(constB73, bitIndex0))),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9900,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB73)) | v124(constB73, bitIndex0))),
% 48.67/31.14 inference(quant_inst,[status(thm)],[])).
% 48.67/31.14 tff(9901,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB73)) | v124(constB73, bitIndex0)),
% 48.67/31.14 inference(modus_ponens,[status(thm)],[9900, 9899])).
% 48.67/31.14 tff(9902,plain,
% 48.67/31.14 ($false),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9901, 4562, 9898, 9876])).
% 48.67/31.14 tff(9903,plain,(~v113(constB75)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.14 tff(9904,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9905,plain,
% 48.67/31.14 ((v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex1))) <=> (v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9906,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)))),
% 48.67/31.14 inference(monotonicity,[status(thm)],[9905])).
% 48.67/31.14 tff(9907,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 48.67/31.14 inference(transitivity,[status(thm)],[9906, 9904])).
% 48.67/31.14 tff(9908,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex1)))),
% 48.67/31.14 inference(quant_inst,[status(thm)],[])).
% 48.67/31.14 tff(9909,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)),
% 48.67/31.14 inference(modus_ponens,[status(thm)],[9908, 9907])).
% 48.67/31.14 tff(9910,plain,
% 48.67/31.14 (v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9909, 1105, 9903])).
% 48.67/31.14 tff(9911,plain,
% 48.67/31.14 (~v124(constB75, bitIndex1)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9910, 9703, 9699, 9695, 9691, 9656])).
% 48.67/31.14 tff(9912,assumption,(v26(constB75)), introduced(assumption)).
% 48.67/31.14 tff(9913,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 48.67/31.14 inference(quant_inst,[status(thm)],[])).
% 48.67/31.14 tff(9914,plain,
% 48.67/31.14 ($false),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9913, 55, 9912])).
% 48.67/31.14 tff(9915,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.14 tff(9916,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1))),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9917,plain,
% 48.67/31.14 ((v26(constB75) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1))) <=> ((~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1))),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9918,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB75) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1)))),
% 48.67/31.14 inference(monotonicity,[status(thm)],[9917])).
% 48.67/31.14 tff(9919,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB75) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1))),
% 48.67/31.14 inference(transitivity,[status(thm)],[9918, 9916])).
% 48.67/31.14 tff(9920,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB75) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1)))),
% 48.67/31.14 inference(quant_inst,[status(thm)],[])).
% 48.67/31.14 tff(9921,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1)),
% 48.67/31.14 inference(modus_ponens,[status(thm)],[9920, 9919])).
% 48.67/31.14 tff(9922,plain,
% 48.67/31.14 ((~v121(constB75, bitIndex1)) | v124(constB75, bitIndex1)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9921, 233, 9915])).
% 48.67/31.14 tff(9923,plain,
% 48.67/31.14 (~v121(constB75, bitIndex1)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9922, 9911])).
% 48.67/31.14 tff(9924,plain,
% 48.67/31.14 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9925,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 48.67/31.14 tff(9926,plain,
% 48.67/31.14 (nextState(constB75, constB76)),
% 48.67/31.14 inference(modus_ponens,[status(thm)],[9925, 9924])).
% 48.67/31.14 tff(9927,plain,
% 48.67/31.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1)))),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9928,plain,
% 48.67/31.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1)))),
% 48.67/31.14 inference(quant_inst,[status(thm)],[])).
% 48.67/31.14 tff(9929,plain,
% 48.67/31.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1))),
% 48.67/31.14 inference(modus_ponens,[status(thm)],[9928, 9927])).
% 48.67/31.14 tff(9930,plain,
% 48.67/31.14 (v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1))),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9929, 254, 9926])).
% 48.67/31.14 tff(9931,plain,
% 48.67/31.14 (~v123(constB76, bitIndex1)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9930, 9923])).
% 48.67/31.14 tff(9932,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB73)) | (~v124(constB73, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB73)) | (~v124(constB73, bitIndex0)))),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9933,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB73)) | (~v124(constB73, bitIndex0)))),
% 48.67/31.14 inference(quant_inst,[status(thm)],[])).
% 48.67/31.14 tff(9934,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB73)) | (~v124(constB73, bitIndex0))),
% 48.67/31.14 inference(modus_ponens,[status(thm)],[9933, 9932])).
% 48.67/31.14 tff(9935,plain,
% 48.67/31.14 (~v124(constB73, bitIndex0)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9934, 921, 9532])).
% 48.67/31.14 tff(9936,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB73, bitIndex0)) | v26(constB73) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB73, bitIndex0)) | v26(constB73) | v124(constB73, bitIndex0))),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9937,plain,
% 48.67/31.14 ((v26(constB73) | v124(constB73, bitIndex0) | (~v121(constB73, bitIndex0))) <=> ((~v121(constB73, bitIndex0)) | v26(constB73) | v124(constB73, bitIndex0))),
% 48.67/31.14 inference(rewrite,[status(thm)],[])).
% 48.67/31.14 tff(9938,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB73) | v124(constB73, bitIndex0) | (~v121(constB73, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB73, bitIndex0)) | v26(constB73) | v124(constB73, bitIndex0)))),
% 48.67/31.14 inference(monotonicity,[status(thm)],[9937])).
% 48.67/31.14 tff(9939,plain,
% 48.67/31.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB73) | v124(constB73, bitIndex0) | (~v121(constB73, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB73, bitIndex0)) | v26(constB73) | v124(constB73, bitIndex0))),
% 48.67/31.14 inference(transitivity,[status(thm)],[9938, 9936])).
% 48.67/31.14 tff(9940,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB73) | v124(constB73, bitIndex0) | (~v121(constB73, bitIndex0)))),
% 48.67/31.14 inference(quant_inst,[status(thm)],[])).
% 48.67/31.14 tff(9941,plain,
% 48.67/31.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB73, bitIndex0)) | v26(constB73) | v124(constB73, bitIndex0)),
% 48.67/31.14 inference(modus_ponens,[status(thm)],[9940, 9939])).
% 48.67/31.14 tff(9942,plain,
% 48.67/31.14 ((~v121(constB73, bitIndex0)) | v124(constB73, bitIndex0)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9941, 607, 9551])).
% 48.67/31.14 tff(9943,plain,
% 48.67/31.14 (~v121(constB73, bitIndex0)),
% 48.67/31.14 inference(unit_resolution,[status(thm)],[9942, 9935])).
% 48.67/31.15 tff(9944,plain,
% 48.67/31.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v121(constB73, bitIndex0) | (~v123(constB74, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB73, constB74)) | v121(constB73, bitIndex0) | (~v123(constB74, bitIndex0)))),
% 48.67/31.15 inference(rewrite,[status(thm)],[])).
% 48.67/31.15 tff(9945,plain,
% 48.67/31.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v121(constB73, bitIndex0) | (~v123(constB74, bitIndex0)))),
% 48.67/31.15 inference(quant_inst,[status(thm)],[])).
% 48.67/31.15 tff(9946,plain,
% 48.67/31.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB73, constB74)) | v121(constB73, bitIndex0) | (~v123(constB74, bitIndex0))),
% 48.67/31.15 inference(modus_ponens,[status(thm)],[9945, 9944])).
% 48.67/31.15 tff(9947,plain,
% 48.67/31.15 (v121(constB73, bitIndex0) | (~v123(constB74, bitIndex0))),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9946, 637, 9569])).
% 48.67/31.15 tff(9948,plain,
% 48.67/31.15 (~v123(constB74, bitIndex0)),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9947, 9943])).
% 48.67/31.15 tff(9949,plain,
% 48.67/31.15 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | v123(constB74, bitIndex0) | (~v94(constB74)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | v123(constB74, bitIndex0) | (~v94(constB74)))),
% 48.67/31.15 inference(rewrite,[status(thm)],[])).
% 48.67/31.15 tff(9950,plain,
% 48.67/31.15 (((~v84(constB74, bitIndex0)) | (~v94(constB74)) | v123(constB74, bitIndex0)) <=> ((~v84(constB74, bitIndex0)) | v123(constB74, bitIndex0) | (~v94(constB74)))),
% 48.67/31.15 inference(rewrite,[status(thm)],[])).
% 48.67/31.15 tff(9951,plain,
% 48.67/31.15 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | (~v94(constB74)) | v123(constB74, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | v123(constB74, bitIndex0) | (~v94(constB74))))),
% 48.67/31.15 inference(monotonicity,[status(thm)],[9950])).
% 48.67/31.15 tff(9952,plain,
% 48.67/31.15 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | (~v94(constB74)) | v123(constB74, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | v123(constB74, bitIndex0) | (~v94(constB74)))),
% 48.67/31.15 inference(transitivity,[status(thm)],[9951, 9949])).
% 48.67/31.15 tff(9953,plain,
% 48.67/31.15 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | (~v94(constB74)) | v123(constB74, bitIndex0))),
% 48.67/31.15 inference(quant_inst,[status(thm)],[])).
% 48.67/31.15 tff(9954,plain,
% 48.67/31.15 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | v123(constB74, bitIndex0) | (~v94(constB74))),
% 48.67/31.15 inference(modus_ponens,[status(thm)],[9953, 9952])).
% 48.67/31.15 tff(9955,plain,
% 48.67/31.15 ((~v84(constB74, bitIndex0)) | (~v94(constB74))),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9954, 652, 9948])).
% 48.67/31.15 tff(9956,plain,
% 48.67/31.15 (~v84(constB74, bitIndex0)),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9955, 9603])).
% 48.67/31.15 tff(9957,plain,
% 48.67/31.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex0)))),
% 48.67/31.15 inference(rewrite,[status(thm)],[])).
% 48.67/31.15 tff(9958,plain,
% 48.67/31.15 (((~nextState(constB74, constB75)) | v84(constB74, bitIndex0) | v94(constB75) | (~v84(constB75, bitIndex0))) <=> (v84(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex0)))),
% 48.67/31.15 inference(rewrite,[status(thm)],[])).
% 48.67/31.15 tff(9959,plain,
% 48.67/31.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex0) | v94(constB75) | (~v84(constB75, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex0))))),
% 48.67/31.15 inference(monotonicity,[status(thm)],[9958])).
% 48.67/31.15 tff(9960,plain,
% 48.67/31.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex0) | v94(constB75) | (~v84(constB75, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex0)))),
% 48.67/31.15 inference(transitivity,[status(thm)],[9959, 9957])).
% 48.67/31.15 tff(9961,plain,
% 48.67/31.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex0) | v94(constB75) | (~v84(constB75, bitIndex0)))),
% 48.67/31.15 inference(quant_inst,[status(thm)],[])).
% 48.67/31.15 tff(9962,plain,
% 48.67/31.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex0))),
% 48.67/31.15 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 48.67/31.15 tff(9963,plain,
% 48.67/31.15 (v84(constB74, bitIndex0) | v94(constB75) | (~v84(constB75, bitIndex0))),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9962, 184, 9631])).
% 48.67/31.15 tff(9964,plain,
% 48.67/31.15 (v84(constB74, bitIndex0) | (~v84(constB75, bitIndex0))),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9963, 9643])).
% 48.67/31.15 tff(9965,plain,
% 48.67/31.15 (~v84(constB75, bitIndex0)),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9964, 9956])).
% 48.67/31.15 tff(9966,plain,
% 48.67/31.15 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 48.67/31.15 inference(rewrite,[status(thm)],[])).
% 48.67/31.15 tff(9967,plain,
% 48.67/31.15 ((v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | v124(constB75, bitIndex0)) <=> (v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 48.67/31.15 inference(rewrite,[status(thm)],[])).
% 48.67/31.15 tff(9968,plain,
% 48.67/31.15 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | v124(constB75, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)))),
% 48.67/31.15 inference(monotonicity,[status(thm)],[9967])).
% 48.67/31.15 tff(9969,plain,
% 48.67/31.15 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | v124(constB75, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 48.67/31.15 inference(transitivity,[status(thm)],[9968, 9966])).
% 48.67/31.15 tff(9970,plain,
% 48.67/31.15 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | v124(constB75, bitIndex0))),
% 48.67/31.15 inference(quant_inst,[status(thm)],[])).
% 48.67/31.15 tff(9971,plain,
% 48.67/31.15 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)),
% 48.67/31.15 inference(modus_ponens,[status(thm)],[9970, 9969])).
% 48.67/31.15 tff(9972,plain,
% 48.67/31.15 (v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75)),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9971, 1374, 9903])).
% 48.67/31.15 tff(9973,plain,
% 48.67/31.15 (v124(constB75, bitIndex0)),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9972, 9703, 9699, 9695, 9691, 9656])).
% 48.67/31.15 tff(9974,plain,
% 48.67/31.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB75) | (~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB75) | (~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0))),
% 48.67/31.15 inference(rewrite,[status(thm)],[])).
% 48.67/31.15 tff(9975,plain,
% 48.67/31.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB75) | (~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0))),
% 48.67/31.15 inference(quant_inst,[status(thm)],[])).
% 48.67/31.15 tff(9976,plain,
% 48.67/31.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB75) | (~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0)),
% 48.67/31.15 inference(modus_ponens,[status(thm)],[9975, 9974])).
% 48.67/31.15 tff(9977,plain,
% 48.67/31.15 ((~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0)),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9976, 1391, 9915])).
% 48.67/31.15 tff(9978,plain,
% 48.67/31.15 (v121(constB75, bitIndex0)),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9977, 9973])).
% 48.67/31.15 tff(9979,plain,
% 48.67/31.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0))),
% 48.67/31.15 inference(rewrite,[status(thm)],[])).
% 48.67/31.15 tff(9980,plain,
% 48.67/31.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0))),
% 48.67/31.15 inference(quant_inst,[status(thm)],[])).
% 48.67/31.15 tff(9981,plain,
% 48.67/31.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0)),
% 48.67/31.15 inference(modus_ponens,[status(thm)],[9980, 9979])).
% 48.67/31.15 tff(9982,plain,
% 48.67/31.15 ((~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0)),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9981, 1406, 9926])).
% 48.67/31.15 tff(9983,plain,
% 48.67/31.15 (v123(constB76, bitIndex0)),
% 48.67/31.15 inference(unit_resolution,[status(thm)],[9982, 9978])).
% 48.67/31.15 tff(9984,assumption,(~v84(constB76, bitIndex0)), introduced(assumption)).
% 48.67/31.15 tff(9985,assumption,(v123(constB76, bitIndex0)), introduced(assumption)).
% 48.67/31.15 tff(9986,plain,
% 48.67/31.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76)))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(9987,plain,
% 48.67/31.16 ((v84(constB76, bitIndex0) | (~v94(constB76)) | (~v123(constB76, bitIndex0))) <=> (v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76)))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(9988,plain,
% 48.67/31.16 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v94(constB76)) | (~v123(constB76, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76))))),
% 48.67/31.16 inference(monotonicity,[status(thm)],[9987])).
% 48.67/31.16 tff(9989,plain,
% 48.67/31.16 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v94(constB76)) | (~v123(constB76, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76)))),
% 48.67/31.16 inference(transitivity,[status(thm)],[9988, 9986])).
% 48.67/31.16 tff(9990,plain,
% 48.67/31.16 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v94(constB76)) | (~v123(constB76, bitIndex0)))),
% 48.67/31.16 inference(quant_inst,[status(thm)],[])).
% 48.67/31.16 tff(9991,plain,
% 48.67/31.16 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76))),
% 48.67/31.16 inference(modus_ponens,[status(thm)],[9990, 9989])).
% 48.67/31.16 tff(9992,plain,
% 48.67/31.16 (v84(constB76, bitIndex0) | (~v94(constB76))),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[9991, 1421, 9985])).
% 48.67/31.16 tff(9993,plain,
% 48.67/31.16 (~v94(constB76)),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[9992, 9984])).
% 48.67/31.16 tff(9994,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(9995,plain,
% 48.67/31.16 (((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0)) <=> ((~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(9996,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0)))),
% 48.67/31.16 inference(monotonicity,[status(thm)],[9995])).
% 48.67/31.16 tff(9997,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0))),
% 48.67/31.16 inference(transitivity,[status(thm)],[9996, 9994])).
% 48.67/31.16 tff(9998,plain,
% 48.67/31.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0))),
% 48.67/31.16 inference(quant_inst,[status(thm)],[])).
% 48.67/31.16 tff(9999,plain,
% 48.67/31.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0)),
% 48.67/31.16 inference(modus_ponens,[status(thm)],[9998, 9997])).
% 48.67/31.16 tff(10000,plain,
% 48.67/31.16 ((~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0)),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[9999, 1439, 9926])).
% 48.67/31.16 tff(10001,plain,
% 48.67/31.16 (~v84(constB75, bitIndex0)),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[10000, 9993, 9984])).
% 48.67/31.16 tff(10002,assumption,(~v94(constB76)), introduced(assumption)).
% 48.67/31.16 tff(10003,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(10004,plain,
% 48.67/31.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))),
% 48.67/31.16 inference(quant_inst,[status(thm)],[])).
% 48.67/31.16 tff(10005,plain,
% 48.67/31.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76))),
% 48.67/31.16 inference(modus_ponens,[status(thm)],[10004, 10003])).
% 48.67/31.16 tff(10006,plain,
% 48.67/31.16 (~v98(constB76)),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[10005, 423, 9926, 9628])).
% 48.67/31.16 tff(10007,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(10008,plain,
% 48.67/31.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))),
% 48.67/31.16 inference(quant_inst,[status(thm)],[])).
% 48.67/31.16 tff(10009,plain,
% 48.67/31.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB75, constB76)) | v96(constB76) | v98(constB76)),
% 48.67/31.16 inference(modus_ponens,[status(thm)],[10008, 10007])).
% 48.67/31.16 tff(10010,plain,
% 48.67/31.16 (v96(constB76) | v98(constB76)),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[10009, 437, 9926])).
% 48.67/31.16 tff(10011,plain,
% 48.67/31.16 (v96(constB76)),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[10010, 10006])).
% 48.67/31.16 tff(10012,plain,
% 48.67/31.16 (v1(constB76) <=> v1(constB76)),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(10013,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 48.67/31.16 tff(10014,plain,
% 48.67/31.16 (v1(constB76)),
% 48.67/31.16 inference(modus_ponens,[status(thm)],[10013, 10012])).
% 48.67/31.16 tff(10015,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(10016,plain,
% 48.67/31.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))),
% 48.67/31.16 inference(quant_inst,[status(thm)],[])).
% 48.67/31.16 tff(10017,plain,
% 48.67/31.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76))),
% 48.67/31.16 inference(modus_ponens,[status(thm)],[10016, 10015])).
% 48.67/31.16 tff(10018,plain,
% 48.67/31.16 (v95(constB76) | (~v96(constB76))),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[10017, 455, 9926, 10014])).
% 48.67/31.16 tff(10019,plain,
% 48.67/31.16 (v95(constB76)),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[10018, 10011])).
% 48.67/31.16 tff(10020,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(10021,plain,
% 48.67/31.16 (((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76)) <=> ((~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(10022,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76))))),
% 48.67/31.16 inference(monotonicity,[status(thm)],[10021])).
% 48.67/31.16 tff(10023,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))),
% 48.67/31.16 inference(transitivity,[status(thm)],[10022, 10020])).
% 48.67/31.16 tff(10024,plain,
% 48.67/31.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))),
% 48.67/31.16 inference(quant_inst,[status(thm)],[])).
% 48.67/31.16 tff(10025,plain,
% 48.67/31.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76))),
% 48.67/31.16 inference(modus_ponens,[status(thm)],[10024, 10023])).
% 48.67/31.16 tff(10026,plain,
% 48.67/31.16 (v94(constB76) | (~v95(constB76)) | (~v104(constB76))),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[10025, 470, 9926])).
% 48.67/31.16 tff(10027,plain,
% 48.67/31.16 (v94(constB76) | (~v104(constB76))),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[10026, 10019])).
% 48.67/31.16 tff(10028,plain,
% 48.67/31.16 (~v104(constB76)),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[10027, 10002])).
% 48.67/31.16 tff(10029,assumption,(~v84(constB76, bitIndex1)), introduced(assumption)).
% 48.67/31.16 tff(10030,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex1))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(10031,plain,
% 48.67/31.16 (((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex1)) | v94(constB76) | v84(constB76, bitIndex1)) <=> ((~v84(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex1))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(10032,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex1)) | v94(constB76) | v84(constB76, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex1)))),
% 48.67/31.16 inference(monotonicity,[status(thm)],[10031])).
% 48.67/31.16 tff(10033,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex1)) | v94(constB76) | v84(constB76, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex1))),
% 48.67/31.16 inference(transitivity,[status(thm)],[10032, 10030])).
% 48.67/31.16 tff(10034,plain,
% 48.67/31.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex1)) | v94(constB76) | v84(constB76, bitIndex1))),
% 48.67/31.16 inference(quant_inst,[status(thm)],[])).
% 48.67/31.16 tff(10035,plain,
% 48.67/31.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex1)),
% 48.67/31.16 inference(modus_ponens,[status(thm)],[10034, 10033])).
% 48.67/31.16 tff(10036,plain,
% 48.67/31.16 ((~v84(constB75, bitIndex1)) | v94(constB76) | v84(constB76, bitIndex1)),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[10035, 905, 9926])).
% 48.67/31.16 tff(10037,plain,
% 48.67/31.16 (~v84(constB75, bitIndex1)),
% 48.67/31.16 inference(unit_resolution,[status(thm)],[10036, 10002, 10029])).
% 48.67/31.16 tff(10038,assumption,(~v102(constB75)), introduced(assumption)).
% 48.67/31.16 tff(10039,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(10040,plain,
% 48.67/31.16 (((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76))) <=> ((~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))),
% 48.67/31.16 inference(rewrite,[status(thm)],[])).
% 48.67/31.16 tff(10041,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75)))),
% 48.67/31.16 inference(monotonicity,[status(thm)],[10040])).
% 48.67/31.16 tff(10042,plain,
% 48.67/31.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))),
% 48.67/31.17 inference(transitivity,[status(thm)],[10041, 10039])).
% 48.67/31.17 tff(10043,plain,
% 48.67/31.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76)))),
% 48.67/31.17 inference(quant_inst,[status(thm)],[])).
% 48.67/31.17 tff(10044,plain,
% 48.67/31.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75)),
% 48.67/31.17 inference(modus_ponens,[status(thm)],[10043, 10042])).
% 48.67/31.17 tff(10045,plain,
% 48.67/31.17 ((~v104(constB76)) | v102(constB75)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10044, 3297, 9926])).
% 48.67/31.17 tff(10046,plain,
% 48.67/31.17 (~v104(constB76)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10045, 10038])).
% 48.67/31.17 tff(10047,plain,
% 48.67/31.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10048,plain,
% 48.67/31.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76)))),
% 48.67/31.17 inference(quant_inst,[status(thm)],[])).
% 48.67/31.17 tff(10049,plain,
% 48.67/31.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76))),
% 48.67/31.17 inference(modus_ponens,[status(thm)],[10048, 10047])).
% 48.67/31.17 tff(10050,plain,
% 48.67/31.17 (v104(constB76) | (~v94(constB76))),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10049, 3282, 9926])).
% 48.67/31.17 tff(10051,plain,
% 48.67/31.17 (~v94(constB76)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10050, 10046])).
% 48.67/31.17 tff(10052,assumption,(~v84(constB75, bitIndex1)), introduced(assumption)).
% 48.67/31.17 tff(10053,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB75) | (~v26(constB75)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB75) | (~v26(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10054,plain,
% 48.67/31.17 (((~v26(constB75)) | v102(constB75)) <=> (v102(constB75) | (~v26(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10055,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB75)) | v102(constB75))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB75) | (~v26(constB75))))),
% 48.67/31.17 inference(monotonicity,[status(thm)],[10054])).
% 48.67/31.17 tff(10056,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB75)) | v102(constB75))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB75) | (~v26(constB75)))),
% 48.67/31.17 inference(transitivity,[status(thm)],[10055, 10053])).
% 48.67/31.17 tff(10057,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB75)) | v102(constB75))),
% 48.67/31.17 inference(quant_inst,[status(thm)],[])).
% 48.67/31.17 tff(10058,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB75) | (~v26(constB75))),
% 48.67/31.17 inference(modus_ponens,[status(thm)],[10057, 10056])).
% 48.67/31.17 tff(10059,plain,
% 48.67/31.17 (~v26(constB75)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10058, 723, 10038])).
% 48.67/31.17 tff(10060,plain,
% 48.67/31.17 (~v84(constB75, bitIndex0)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10000, 10051, 9984])).
% 48.67/31.17 tff(10061,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB75) | (~v106(constB75)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB75) | (~v106(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10062,plain,
% 48.67/31.17 (((~v106(constB75)) | v102(constB75)) <=> (v102(constB75) | (~v106(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10063,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB75)) | v102(constB75))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB75) | (~v106(constB75))))),
% 48.67/31.17 inference(monotonicity,[status(thm)],[10062])).
% 48.67/31.17 tff(10064,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB75)) | v102(constB75))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB75) | (~v106(constB75)))),
% 48.67/31.17 inference(transitivity,[status(thm)],[10063, 10061])).
% 48.67/31.17 tff(10065,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB75)) | v102(constB75))),
% 48.67/31.17 inference(quant_inst,[status(thm)],[])).
% 48.67/31.17 tff(10066,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB75) | (~v106(constB75))),
% 48.67/31.17 inference(modus_ponens,[status(thm)],[10065, 10064])).
% 48.67/31.17 tff(10067,plain,
% 48.67/31.17 (~v106(constB75)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10066, 504, 10038])).
% 48.67/31.17 tff(10068,assumption,(~v26(constB75)), introduced(assumption)).
% 48.67/31.17 tff(10069,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | v106(constB75) | (~v107(constB75)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10070,plain,
% 48.67/31.17 ((v26(constB75) | (~v107(constB75)) | v106(constB75)) <=> (v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10071,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | v106(constB75) | (~v107(constB75))))),
% 48.67/31.17 inference(monotonicity,[status(thm)],[10070])).
% 48.67/31.17 tff(10072,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 48.67/31.17 inference(transitivity,[status(thm)],[10071, 10069])).
% 48.67/31.17 tff(10073,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))),
% 48.67/31.17 inference(quant_inst,[status(thm)],[])).
% 48.67/31.17 tff(10074,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75))),
% 48.67/31.17 inference(modus_ponens,[status(thm)],[10073, 10072])).
% 48.67/31.17 tff(10075,plain,
% 48.67/31.17 (v106(constB75) | (~v107(constB75))),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10074, 348, 10068])).
% 48.67/31.17 tff(10076,plain,
% 48.67/31.17 (~v107(constB75)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10075, 10067])).
% 48.67/31.17 tff(10077,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB75) | (~v108(constB75)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB75) | (~v108(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10078,plain,
% 48.67/31.17 (((~v108(constB75)) | v107(constB75)) <=> (v107(constB75) | (~v108(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10079,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB75)) | v107(constB75))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB75) | (~v108(constB75))))),
% 48.67/31.17 inference(monotonicity,[status(thm)],[10078])).
% 48.67/31.17 tff(10080,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB75)) | v107(constB75))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB75) | (~v108(constB75)))),
% 48.67/31.17 inference(transitivity,[status(thm)],[10079, 10077])).
% 48.67/31.17 tff(10081,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB75)) | v107(constB75))),
% 48.67/31.17 inference(quant_inst,[status(thm)],[])).
% 48.67/31.17 tff(10082,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB75) | (~v108(constB75))),
% 48.67/31.17 inference(modus_ponens,[status(thm)],[10081, 10080])).
% 48.67/31.17 tff(10083,plain,
% 48.67/31.17 (~v108(constB75)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10082, 334, 10076])).
% 48.67/31.17 tff(10084,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v109(constB75)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v109(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10085,plain,
% 48.67/31.17 (((~v109(constB75)) | v108(constB75)) <=> (v108(constB75) | (~v109(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10086,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v109(constB75))))),
% 48.67/31.17 inference(monotonicity,[status(thm)],[10085])).
% 48.67/31.17 tff(10087,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v109(constB75)))),
% 48.67/31.17 inference(transitivity,[status(thm)],[10086, 10084])).
% 48.67/31.17 tff(10088,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB75)) | v108(constB75))),
% 48.67/31.17 inference(quant_inst,[status(thm)],[])).
% 48.67/31.17 tff(10089,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v109(constB75))),
% 48.67/31.17 inference(modus_ponens,[status(thm)],[10088, 10087])).
% 48.67/31.17 tff(10090,plain,
% 48.67/31.17 (~v109(constB75)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10089, 320, 10083])).
% 48.67/31.17 tff(10091,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB75) | (~v172(constB75)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB75) | (~v172(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10092,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB75) | (~v172(constB75)))),
% 48.67/31.17 inference(quant_inst,[status(thm)],[])).
% 48.67/31.17 tff(10093,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB75) | (~v172(constB75))),
% 48.67/31.17 inference(modus_ponens,[status(thm)],[10092, 10091])).
% 48.67/31.17 tff(10094,plain,
% 48.67/31.17 (~v172(constB75)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10093, 740, 10090])).
% 48.67/31.17 tff(10095,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10096,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75))),
% 48.67/31.17 inference(quant_inst,[status(thm)],[])).
% 48.67/31.17 tff(10097,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75)),
% 48.67/31.17 inference(modus_ponens,[status(thm)],[10096, 10095])).
% 48.67/31.17 tff(10098,plain,
% 48.67/31.17 (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex2)) | v172(constB75)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10097, 679, 10052])).
% 48.67/31.17 tff(10099,plain,
% 48.67/31.17 (~v84(constB75, bitIndex2)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10098, 10094, 10060])).
% 48.67/31.17 tff(10100,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v113(constB75))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v113(constB75))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10101,plain,
% 48.67/31.17 ((v84(constB75, bitIndex0) | v113(constB75) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2)) <=> (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v113(constB75))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10102,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB75, bitIndex0) | v113(constB75) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v113(constB75)))),
% 48.67/31.17 inference(monotonicity,[status(thm)],[10101])).
% 48.67/31.17 tff(10103,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB75, bitIndex0) | v113(constB75) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v113(constB75))),
% 48.67/31.17 inference(transitivity,[status(thm)],[10102, 10100])).
% 48.67/31.17 tff(10104,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB75, bitIndex0) | v113(constB75) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))),
% 48.67/31.17 inference(quant_inst,[status(thm)],[])).
% 48.67/31.17 tff(10105,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v113(constB75)),
% 48.67/31.17 inference(modus_ponens,[status(thm)],[10104, 10103])).
% 48.67/31.17 tff(10106,plain,
% 48.67/31.17 (v84(constB75, bitIndex0) | v84(constB75, bitIndex2) | v113(constB75)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10105, 205, 10052])).
% 48.67/31.17 tff(10107,plain,
% 48.67/31.17 (v113(constB75)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10106, 10099, 10060])).
% 48.67/31.17 tff(10108,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB75) | (~v113(constB75)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB75) | (~v113(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10109,plain,
% 48.67/31.17 (((~v113(constB75)) | v112(constB75)) <=> (v112(constB75) | (~v113(constB75)))),
% 48.67/31.17 inference(rewrite,[status(thm)],[])).
% 48.67/31.17 tff(10110,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB75) | (~v113(constB75))))),
% 48.67/31.17 inference(monotonicity,[status(thm)],[10109])).
% 48.67/31.17 tff(10111,plain,
% 48.67/31.17 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB75) | (~v113(constB75)))),
% 48.67/31.17 inference(transitivity,[status(thm)],[10110, 10108])).
% 48.67/31.17 tff(10112,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB75)) | v112(constB75))),
% 48.67/31.17 inference(quant_inst,[status(thm)],[])).
% 48.67/31.17 tff(10113,plain,
% 48.67/31.17 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB75) | (~v113(constB75))),
% 48.67/31.17 inference(modus_ponens,[status(thm)],[10112, 10111])).
% 48.67/31.17 tff(10114,plain,
% 48.67/31.17 (v112(constB75)),
% 48.67/31.17 inference(unit_resolution,[status(thm)],[10113, 267, 10107])).
% 48.67/31.18 tff(10115,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB75)) | v109(constB75))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB75)) | v109(constB75))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10116,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB75)) | v109(constB75))),
% 48.67/31.18 inference(quant_inst,[status(thm)],[])).
% 48.67/31.18 tff(10117,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB75)) | v109(constB75)),
% 48.67/31.18 inference(modus_ponens,[status(thm)],[10116, 10115])).
% 48.67/31.18 tff(10118,plain,
% 48.67/31.18 (~v110(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10117, 306, 10090])).
% 48.67/31.18 tff(10119,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB75) | (~v111(constB75)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB75) | (~v111(constB75)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10120,plain,
% 48.67/31.18 (((~v111(constB75)) | v110(constB75)) <=> (v110(constB75) | (~v111(constB75)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10121,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB75)) | v110(constB75))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB75) | (~v111(constB75))))),
% 48.67/31.18 inference(monotonicity,[status(thm)],[10120])).
% 48.67/31.18 tff(10122,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB75)) | v110(constB75))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB75) | (~v111(constB75)))),
% 48.67/31.18 inference(transitivity,[status(thm)],[10121, 10119])).
% 48.67/31.18 tff(10123,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB75)) | v110(constB75))),
% 48.67/31.18 inference(quant_inst,[status(thm)],[])).
% 48.67/31.18 tff(10124,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB75) | (~v111(constB75))),
% 48.67/31.18 inference(modus_ponens,[status(thm)],[10123, 10122])).
% 48.67/31.18 tff(10125,plain,
% 48.67/31.18 (~v111(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10124, 292, 10118])).
% 48.67/31.18 tff(10126,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB75) | (~v112(constB75)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10127,plain,
% 48.67/31.18 (((~v112(constB75)) | v111(constB75)) <=> (v111(constB75) | (~v112(constB75)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10128,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB75)) | v111(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB75) | (~v112(constB75))))),
% 48.67/31.18 inference(monotonicity,[status(thm)],[10127])).
% 48.67/31.18 tff(10129,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB75)) | v111(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB75) | (~v112(constB75)))),
% 48.67/31.18 inference(transitivity,[status(thm)],[10128, 10126])).
% 48.67/31.18 tff(10130,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB75)) | v111(constB75))),
% 48.67/31.18 inference(quant_inst,[status(thm)],[])).
% 48.67/31.18 tff(10131,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB75) | (~v112(constB75))),
% 48.67/31.18 inference(modus_ponens,[status(thm)],[10130, 10129])).
% 48.67/31.18 tff(10132,plain,
% 48.67/31.18 ($false),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10131, 278, 10125, 10114])).
% 48.67/31.18 tff(10133,plain,(v102(constB75) | v84(constB75, bitIndex1) | v26(constB75) | v84(constB76, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.18 tff(10134,plain,
% 48.67/31.18 (v84(constB76, bitIndex0)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10133, 10059, 10052, 10038])).
% 48.67/31.18 tff(10135,plain,
% 48.67/31.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10136,plain,
% 48.67/31.18 (((~nextState(constB75, constB76)) | v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0))) <=> (v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10137,plain,
% 48.67/31.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0))))),
% 48.67/31.18 inference(monotonicity,[status(thm)],[10136])).
% 48.67/31.18 tff(10138,plain,
% 48.67/31.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0)))),
% 48.67/31.18 inference(transitivity,[status(thm)],[10137, 10135])).
% 48.67/31.18 tff(10139,plain,
% 48.67/31.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0)))),
% 48.67/31.18 inference(quant_inst,[status(thm)],[])).
% 48.67/31.18 tff(10140,plain,
% 48.67/31.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0))),
% 48.67/31.18 inference(modus_ponens,[status(thm)],[10139, 10138])).
% 48.67/31.18 tff(10141,plain,
% 48.67/31.18 (v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0))),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10140, 184, 9926])).
% 48.67/31.18 tff(10142,plain,
% 48.67/31.18 (v84(constB75, bitIndex0)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10141, 10134, 10051])).
% 48.67/31.18 tff(10143,plain,
% 48.67/31.18 (~v107(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10074, 348, 10059, 10067])).
% 48.67/31.18 tff(10144,plain,
% 48.67/31.18 (~v108(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10082, 334, 10143])).
% 48.67/31.18 tff(10145,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v118(constB75)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v118(constB75)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10146,plain,
% 48.67/31.18 (((~v118(constB75)) | v108(constB75)) <=> (v108(constB75) | (~v118(constB75)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10147,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v118(constB75))))),
% 48.67/31.18 inference(monotonicity,[status(thm)],[10146])).
% 48.67/31.18 tff(10148,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v118(constB75)))),
% 48.67/31.18 inference(transitivity,[status(thm)],[10147, 10145])).
% 48.67/31.18 tff(10149,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB75)) | v108(constB75))),
% 48.67/31.18 inference(quant_inst,[status(thm)],[])).
% 48.67/31.18 tff(10150,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v118(constB75))),
% 48.67/31.18 inference(modus_ponens,[status(thm)],[10149, 10148])).
% 48.67/31.18 tff(10151,plain,
% 48.67/31.18 (~v118(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10150, 3053, 10144])).
% 48.67/31.18 tff(10152,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10153,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75))),
% 48.67/31.18 inference(quant_inst,[status(thm)],[])).
% 48.67/31.18 tff(10154,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75)),
% 48.67/31.18 inference(modus_ponens,[status(thm)],[10153, 10152])).
% 48.67/31.18 tff(10155,plain,
% 48.67/31.18 ((~v84(constB75, bitIndex0)) | (~v84(constB75, bitIndex2)) | v118(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10154, 3042, 10052])).
% 48.67/31.18 tff(10156,plain,
% 48.67/31.18 (~v84(constB75, bitIndex2)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10155, 10151, 10142])).
% 48.67/31.18 tff(10157,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10158,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75))),
% 48.67/31.18 inference(quant_inst,[status(thm)],[])).
% 48.67/31.18 tff(10159,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75)),
% 48.67/31.18 inference(modus_ponens,[status(thm)],[10158, 10157])).
% 48.67/31.18 tff(10160,plain,
% 48.67/31.18 ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex2) | v145(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10159, 1268, 10052])).
% 48.67/31.18 tff(10161,plain,
% 48.67/31.18 (v145(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10160, 10156, 10142])).
% 48.67/31.18 tff(10162,plain,
% 48.67/31.18 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB75) | (~v145(constB75)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB75) | (~v145(constB75)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10163,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB75) | (~v145(constB75)))),
% 48.67/31.18 inference(quant_inst,[status(thm)],[])).
% 48.67/31.18 tff(10164,plain,
% 48.67/31.18 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB75) | (~v145(constB75))),
% 48.67/31.18 inference(modus_ponens,[status(thm)],[10163, 10162])).
% 48.67/31.18 tff(10165,plain,
% 48.67/31.18 (v112(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10164, 1253, 10161])).
% 48.67/31.18 tff(10166,plain,
% 48.67/31.18 (~v109(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10089, 320, 10144])).
% 48.67/31.18 tff(10167,plain,
% 48.67/31.18 (~v110(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10117, 306, 10166])).
% 48.67/31.18 tff(10168,plain,
% 48.67/31.18 (~v111(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10124, 292, 10167])).
% 48.67/31.18 tff(10169,plain,
% 48.67/31.18 ($false),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10131, 278, 10168, 10165])).
% 48.67/31.18 tff(10170,plain,(v102(constB75) | v84(constB75, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.18 tff(10171,plain,
% 48.67/31.18 (v102(constB75)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10170, 10037])).
% 48.67/31.18 tff(10172,plain,
% 48.67/31.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10173,plain,
% 48.67/31.18 (((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76)) <=> ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10174,plain,
% 48.67/31.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75))))),
% 48.67/31.18 inference(monotonicity,[status(thm)],[10173])).
% 48.67/31.18 tff(10175,plain,
% 48.67/31.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 48.67/31.18 inference(transitivity,[status(thm)],[10174, 10172])).
% 48.67/31.18 tff(10176,plain,
% 48.67/31.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))),
% 48.67/31.18 inference(quant_inst,[status(thm)],[])).
% 48.67/31.18 tff(10177,plain,
% 48.67/31.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75))),
% 48.67/31.18 inference(modus_ponens,[status(thm)],[10176, 10175])).
% 48.67/31.18 tff(10178,plain,
% 48.67/31.18 (v104(constB76) | (~v102(constB75))),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10177, 489, 9926])).
% 48.67/31.18 tff(10179,plain,
% 48.67/31.18 ($false),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10178, 10171, 10028])).
% 48.67/31.18 tff(10180,plain,(v94(constB76) | v84(constB76, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.18 tff(10181,plain,
% 48.67/31.18 (v84(constB76, bitIndex1)),
% 48.67/31.18 inference(unit_resolution,[status(thm)],[10180, 9993])).
% 48.67/31.18 tff(10182,plain,
% 48.67/31.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB75, bitIndex1) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB75, bitIndex1) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex1)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10183,plain,
% 48.67/31.18 (((~nextState(constB75, constB76)) | v84(constB75, bitIndex1) | v94(constB76) | (~v84(constB76, bitIndex1))) <=> (v84(constB75, bitIndex1) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex1)))),
% 48.67/31.18 inference(rewrite,[status(thm)],[])).
% 48.67/31.18 tff(10184,plain,
% 48.67/31.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v84(constB75, bitIndex1) | v94(constB76) | (~v84(constB76, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB75, bitIndex1) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex1))))),
% 48.67/31.19 inference(monotonicity,[status(thm)],[10183])).
% 48.67/31.19 tff(10185,plain,
% 48.67/31.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v84(constB75, bitIndex1) | v94(constB76) | (~v84(constB76, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB75, bitIndex1) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex1)))),
% 48.67/31.19 inference(transitivity,[status(thm)],[10184, 10182])).
% 48.67/31.19 tff(10186,plain,
% 48.67/31.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v84(constB75, bitIndex1) | v94(constB76) | (~v84(constB76, bitIndex1)))),
% 48.67/31.19 inference(quant_inst,[status(thm)],[])).
% 48.67/31.19 tff(10187,plain,
% 48.67/31.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB75, bitIndex1) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex1))),
% 48.67/31.19 inference(modus_ponens,[status(thm)],[10186, 10185])).
% 48.67/31.19 tff(10188,plain,
% 48.67/31.19 (v84(constB75, bitIndex1) | v94(constB76) | (~v84(constB76, bitIndex1))),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10187, 163, 9926])).
% 48.67/31.19 tff(10189,plain,
% 48.67/31.19 (v84(constB75, bitIndex1)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10188, 10181, 9993])).
% 48.67/31.19 tff(10190,assumption,(~v115(constB75)), introduced(assumption)).
% 48.67/31.19 tff(10191,plain,
% 48.67/31.19 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2) | v115(constB75))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2) | v115(constB75))),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10192,plain,
% 48.67/31.19 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2) | v115(constB75))),
% 48.67/31.19 inference(quant_inst,[status(thm)],[])).
% 48.67/31.19 tff(10193,plain,
% 48.67/31.19 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2) | v115(constB75)),
% 48.67/31.19 inference(modus_ponens,[status(thm)],[10192, 10191])).
% 48.67/31.19 tff(10194,plain,
% 48.67/31.19 (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10193, 1594, 10190])).
% 48.67/31.19 tff(10195,plain,
% 48.67/31.19 (v84(constB75, bitIndex2)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10194, 10189, 10001])).
% 48.67/31.19 tff(10196,plain,
% 48.67/31.19 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)) | v119(constB75))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)) | v119(constB75))),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10197,plain,
% 48.67/31.19 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)) | v119(constB75))),
% 48.67/31.19 inference(quant_inst,[status(thm)],[])).
% 48.67/31.19 tff(10198,plain,
% 48.67/31.19 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)) | v119(constB75)),
% 48.67/31.19 inference(modus_ponens,[status(thm)],[10197, 10196])).
% 48.67/31.19 tff(10199,plain,
% 48.67/31.19 (v119(constB75)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10198, 965, 10001, 10189, 10195])).
% 48.67/31.19 tff(10200,plain,
% 48.67/31.19 (~v104(constB76)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10027, 9993])).
% 48.67/31.19 tff(10201,plain,
% 48.67/31.19 (~v102(constB75)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10178, 10200])).
% 48.67/31.19 tff(10202,plain,
% 48.67/31.19 (~v106(constB75)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10066, 504, 10201])).
% 48.67/31.19 tff(10203,plain,
% 48.67/31.19 (v106(constB75) | (~v107(constB75))),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10074, 348, 9915])).
% 48.67/31.19 tff(10204,plain,
% 48.67/31.19 (~v107(constB75)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10203, 10202])).
% 48.67/31.19 tff(10205,plain,
% 48.67/31.19 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB75) | (~v119(constB75)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB75) | (~v119(constB75)))),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10206,plain,
% 48.67/31.19 (((~v119(constB75)) | v107(constB75)) <=> (v107(constB75) | (~v119(constB75)))),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10207,plain,
% 48.67/31.19 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB75)) | v107(constB75))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB75) | (~v119(constB75))))),
% 48.67/31.19 inference(monotonicity,[status(thm)],[10206])).
% 48.67/31.19 tff(10208,plain,
% 48.67/31.19 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB75)) | v107(constB75))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB75) | (~v119(constB75)))),
% 48.67/31.19 inference(transitivity,[status(thm)],[10207, 10205])).
% 48.67/31.19 tff(10209,plain,
% 48.67/31.19 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB75)) | v107(constB75))),
% 48.67/31.19 inference(quant_inst,[status(thm)],[])).
% 48.67/31.19 tff(10210,plain,
% 48.67/31.19 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB75) | (~v119(constB75))),
% 48.67/31.19 inference(modus_ponens,[status(thm)],[10209, 10208])).
% 48.67/31.19 tff(10211,plain,
% 48.67/31.19 ($false),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10210, 976, 10204, 10199])).
% 48.67/31.19 tff(10212,plain,(v84(constB76, bitIndex0) | v115(constB75) | (~v123(constB76, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 48.67/31.19 tff(10213,plain,
% 48.67/31.19 (v84(constB76, bitIndex0)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10212, 9983, 9656])).
% 48.67/31.19 tff(10214,plain,
% 48.67/31.19 (v94(constB76)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10141, 10213, 9965])).
% 48.67/31.19 tff(10215,plain,
% 48.67/31.19 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76)))),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10216,plain,
% 48.67/31.19 (((~v84(constB76, bitIndex1)) | (~v94(constB76)) | v123(constB76, bitIndex1)) <=> ((~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76)))),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10217,plain,
% 48.67/31.19 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~v94(constB76)) | v123(constB76, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76))))),
% 48.67/31.19 inference(monotonicity,[status(thm)],[10216])).
% 48.67/31.19 tff(10218,plain,
% 48.67/31.19 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~v94(constB76)) | v123(constB76, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76)))),
% 48.67/31.19 inference(transitivity,[status(thm)],[10217, 10215])).
% 48.67/31.19 tff(10219,plain,
% 48.67/31.19 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~v94(constB76)) | v123(constB76, bitIndex1))),
% 48.67/31.19 inference(quant_inst,[status(thm)],[])).
% 48.67/31.19 tff(10220,plain,
% 48.67/31.19 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76))),
% 48.67/31.19 inference(modus_ponens,[status(thm)],[10219, 10218])).
% 48.67/31.19 tff(10221,plain,
% 48.67/31.19 (~v84(constB76, bitIndex1)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10220, 532, 10214, 9931])).
% 48.67/31.19 tff(10222,plain,
% 48.67/31.19 ((~v1(constB77)) <=> (~v1(constB77))),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10223,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 48.67/31.19 tff(10224,plain,
% 48.67/31.19 (~v1(constB77)),
% 48.67/31.19 inference(modus_ponens,[status(thm)],[10223, 10222])).
% 48.67/31.19 tff(10225,plain,
% 48.67/31.19 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10226,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 48.67/31.19 tff(10227,plain,
% 48.67/31.19 (nextState(constB76, constB77)),
% 48.67/31.19 inference(modus_ponens,[status(thm)],[10226, 10225])).
% 48.67/31.19 tff(10228,plain,
% 48.67/31.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10229,plain,
% 48.67/31.19 (((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10230,plain,
% 48.67/31.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77))))),
% 48.67/31.19 inference(monotonicity,[status(thm)],[10229])).
% 48.67/31.19 tff(10231,plain,
% 48.67/31.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 48.67/31.19 inference(transitivity,[status(thm)],[10230, 10228])).
% 48.67/31.19 tff(10232,plain,
% 48.67/31.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))),
% 48.67/31.19 inference(quant_inst,[status(thm)],[])).
% 48.67/31.19 tff(10233,plain,
% 48.67/31.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77))),
% 48.67/31.19 inference(modus_ponens,[status(thm)],[10232, 10231])).
% 48.67/31.19 tff(10234,plain,
% 48.67/31.19 (~v95(constB77)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10233, 110, 10227, 10224])).
% 48.67/31.19 tff(10235,plain,
% 48.67/31.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10236,plain,
% 48.67/31.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))),
% 48.67/31.19 inference(quant_inst,[status(thm)],[])).
% 48.67/31.19 tff(10237,plain,
% 48.67/31.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77))),
% 48.67/31.19 inference(modus_ponens,[status(thm)],[10236, 10235])).
% 48.67/31.19 tff(10238,plain,
% 48.67/31.19 (v95(constB77) | (~v94(constB77))),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10237, 127, 10227])).
% 48.67/31.19 tff(10239,plain,
% 48.67/31.19 (~v94(constB77)),
% 48.67/31.19 inference(unit_resolution,[status(thm)],[10238, 10234])).
% 48.67/31.19 tff(10240,plain,
% 48.67/31.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1)))),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10241,plain,
% 48.67/31.19 (((~nextState(constB76, constB77)) | v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1))) <=> (v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1)))),
% 48.67/31.19 inference(rewrite,[status(thm)],[])).
% 48.67/31.19 tff(10242,plain,
% 48.67/31.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1))))),
% 48.67/31.19 inference(monotonicity,[status(thm)],[10241])).
% 48.67/31.19 tff(10243,plain,
% 48.67/31.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1)))),
% 48.67/31.19 inference(transitivity,[status(thm)],[10242, 10240])).
% 48.67/31.19 tff(10244,plain,
% 48.67/31.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1)))),
% 48.67/31.19 inference(quant_inst,[status(thm)],[])).
% 48.67/31.19 tff(10245,plain,
% 48.67/31.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1))),
% 48.67/31.19 inference(modus_ponens,[status(thm)],[10244, 10243])).
% 48.67/31.19 tff(10246,plain,
% 48.67/31.19 (v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1))),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10245, 163, 10227])).
% 48.75/31.20 tff(10247,plain,
% 48.75/31.20 (v84(constB76, bitIndex1) | (~v84(constB77, bitIndex1))),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10246, 10239])).
% 48.75/31.20 tff(10248,plain,
% 48.75/31.20 (~v84(constB77, bitIndex1)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10247, 10221])).
% 48.75/31.20 tff(10249,plain,
% 48.75/31.20 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 48.75/31.20 inference(rewrite,[status(thm)],[])).
% 48.75/31.20 tff(10250,plain,
% 48.75/31.20 ((v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex2))) <=> (v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 48.75/31.20 inference(rewrite,[status(thm)],[])).
% 48.75/31.20 tff(10251,plain,
% 48.75/31.20 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)))),
% 48.75/31.20 inference(monotonicity,[status(thm)],[10250])).
% 48.75/31.20 tff(10252,plain,
% 48.75/31.20 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 48.75/31.20 inference(transitivity,[status(thm)],[10251, 10249])).
% 48.75/31.20 tff(10253,plain,
% 48.75/31.20 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex2)))),
% 48.75/31.20 inference(quant_inst,[status(thm)],[])).
% 48.75/31.20 tff(10254,plain,
% 48.75/31.20 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)),
% 48.75/31.20 inference(modus_ponens,[status(thm)],[10253, 10252])).
% 48.75/31.20 tff(10255,plain,
% 48.75/31.20 (v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10254, 1170, 9903])).
% 48.75/31.20 tff(10256,plain,
% 48.75/31.20 (~v124(constB75, bitIndex2)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10255, 9703, 9699, 9695, 9691, 9656])).
% 48.75/31.20 tff(10257,plain,
% 48.75/31.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))),
% 48.75/31.20 inference(rewrite,[status(thm)],[])).
% 48.75/31.20 tff(10258,plain,
% 48.75/31.20 ((v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2))) <=> ((~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))),
% 48.75/31.20 inference(rewrite,[status(thm)],[])).
% 48.75/31.20 tff(10259,plain,
% 48.75/31.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2)))),
% 48.75/31.20 inference(monotonicity,[status(thm)],[10258])).
% 48.75/31.20 tff(10260,plain,
% 48.75/31.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))),
% 48.75/31.20 inference(transitivity,[status(thm)],[10259, 10257])).
% 48.75/31.20 tff(10261,plain,
% 48.75/31.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))),
% 48.75/31.20 inference(quant_inst,[status(thm)],[])).
% 48.75/31.20 tff(10262,plain,
% 48.75/31.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2)),
% 48.75/31.20 inference(modus_ponens,[status(thm)],[10261, 10260])).
% 48.75/31.20 tff(10263,plain,
% 48.75/31.20 ((~v121(constB75, bitIndex2)) | v124(constB75, bitIndex2)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10262, 1187, 9915])).
% 48.75/31.20 tff(10264,plain,
% 48.75/31.20 (~v121(constB75, bitIndex2)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10263, 10256])).
% 48.75/31.20 tff(10265,plain,
% 48.75/31.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2)))),
% 48.75/31.20 inference(rewrite,[status(thm)],[])).
% 48.75/31.20 tff(10266,plain,
% 48.75/31.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2)))),
% 48.75/31.20 inference(quant_inst,[status(thm)],[])).
% 48.75/31.20 tff(10267,plain,
% 48.75/31.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2))),
% 48.75/31.20 inference(modus_ponens,[status(thm)],[10266, 10265])).
% 48.75/31.20 tff(10268,plain,
% 48.75/31.20 (v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2))),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10267, 1205, 9926])).
% 48.75/31.20 tff(10269,plain,
% 48.75/31.20 (~v123(constB76, bitIndex2)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10268, 10264])).
% 48.75/31.20 tff(10270,plain,
% 48.75/31.20 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))),
% 48.75/31.20 inference(rewrite,[status(thm)],[])).
% 48.75/31.20 tff(10271,plain,
% 48.75/31.20 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))),
% 48.75/31.20 inference(quant_inst,[status(thm)],[])).
% 48.75/31.20 tff(10272,plain,
% 48.75/31.20 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76))),
% 48.75/31.20 inference(modus_ponens,[status(thm)],[10271, 10270])).
% 48.75/31.20 tff(10273,plain,
% 48.75/31.20 (~v84(constB76, bitIndex2)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10272, 1220, 10214, 10269])).
% 48.75/31.20 tff(10274,plain,
% 48.75/31.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 48.75/31.20 inference(rewrite,[status(thm)],[])).
% 48.75/31.20 tff(10275,plain,
% 48.75/31.20 (((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2))) <=> (v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 48.75/31.20 inference(rewrite,[status(thm)],[])).
% 48.75/31.20 tff(10276,plain,
% 48.75/31.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2))))),
% 48.75/31.20 inference(monotonicity,[status(thm)],[10275])).
% 48.75/31.20 tff(10277,plain,
% 48.75/31.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 48.75/31.20 inference(transitivity,[status(thm)],[10276, 10274])).
% 48.75/31.20 tff(10278,plain,
% 48.75/31.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 48.75/31.20 inference(quant_inst,[status(thm)],[])).
% 48.75/31.20 tff(10279,plain,
% 48.75/31.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2))),
% 48.75/31.20 inference(modus_ponens,[status(thm)],[10278, 10277])).
% 48.75/31.20 tff(10280,plain,
% 48.75/31.20 (v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2))),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10279, 142, 10227])).
% 48.75/31.20 tff(10281,plain,
% 48.75/31.20 (v84(constB76, bitIndex2) | (~v84(constB77, bitIndex2))),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10280, 10239])).
% 48.75/31.20 tff(10282,plain,
% 48.75/31.20 (~v84(constB77, bitIndex2)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10281, 10273])).
% 48.75/31.20 tff(10283,plain,
% 48.75/31.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0))),
% 48.75/31.20 inference(rewrite,[status(thm)],[])).
% 48.75/31.20 tff(10284,plain,
% 48.75/31.20 (((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0)) <=> ((~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0))),
% 48.75/31.20 inference(rewrite,[status(thm)],[])).
% 48.75/31.20 tff(10285,plain,
% 48.75/31.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0)))),
% 48.75/31.20 inference(monotonicity,[status(thm)],[10284])).
% 48.75/31.20 tff(10286,plain,
% 48.75/31.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0))),
% 48.75/31.20 inference(transitivity,[status(thm)],[10285, 10283])).
% 48.75/31.20 tff(10287,plain,
% 48.75/31.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0))),
% 48.75/31.20 inference(quant_inst,[status(thm)],[])).
% 48.75/31.20 tff(10288,plain,
% 48.75/31.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0)),
% 48.75/31.20 inference(modus_ponens,[status(thm)],[10287, 10286])).
% 48.75/31.20 tff(10289,plain,
% 48.75/31.20 ((~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10288, 1439, 10227])).
% 48.75/31.20 tff(10290,plain,
% 48.75/31.20 ((~v84(constB76, bitIndex0)) | v84(constB77, bitIndex0)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10289, 10239])).
% 48.75/31.20 tff(10291,plain,
% 48.75/31.20 (v84(constB77, bitIndex0)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10290, 10213])).
% 48.75/31.20 tff(10292,plain,
% 48.75/31.20 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77))),
% 48.75/31.20 inference(rewrite,[status(thm)],[])).
% 48.75/31.20 tff(10293,plain,
% 48.75/31.20 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77))),
% 48.75/31.20 inference(quant_inst,[status(thm)],[])).
% 48.75/31.20 tff(10294,plain,
% 48.75/31.20 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77)),
% 48.75/31.20 inference(modus_ponens,[status(thm)],[10293, 10292])).
% 48.75/31.20 tff(10295,plain,
% 48.75/31.20 (v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10294, 1268, 10291])).
% 48.75/31.20 tff(10296,plain,
% 48.75/31.20 (v145(constB77)),
% 48.75/31.20 inference(unit_resolution,[status(thm)],[10295, 10282, 10248])).
% 48.75/31.20 tff(10297,plain,
% 48.75/31.20 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB77) | (~v145(constB77)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB77) | (~v145(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10298,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB77) | (~v145(constB77)))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10299,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB77) | (~v145(constB77))),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10298, 10297])).
% 48.75/31.21 tff(10300,plain,
% 48.75/31.21 (v112(constB77)),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10299, 1253, 10296])).
% 48.75/31.21 tff(10301,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB77)) | v111(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB77)) | v111(constB77))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10302,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB77)) | v111(constB77))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10303,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB77)) | v111(constB77)),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10302, 10301])).
% 48.75/31.21 tff(10304,plain,
% 48.75/31.21 (v111(constB77)),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10303, 278, 10300])).
% 48.75/31.21 tff(10305,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB77) | (~v111(constB77)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB77) | (~v111(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10306,plain,
% 48.75/31.21 (((~v111(constB77)) | v110(constB77)) <=> (v110(constB77) | (~v111(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10307,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB77)) | v110(constB77))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB77) | (~v111(constB77))))),
% 48.75/31.21 inference(monotonicity,[status(thm)],[10306])).
% 48.75/31.21 tff(10308,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB77)) | v110(constB77))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB77) | (~v111(constB77)))),
% 48.75/31.21 inference(transitivity,[status(thm)],[10307, 10305])).
% 48.75/31.21 tff(10309,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB77)) | v110(constB77))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10310,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB77) | (~v111(constB77))),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10309, 10308])).
% 48.75/31.21 tff(10311,plain,
% 48.75/31.21 (v110(constB77)),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10310, 292, 10304])).
% 48.75/31.21 tff(10312,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB77) | (~v110(constB77)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB77) | (~v110(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10313,plain,
% 48.75/31.21 (((~v110(constB77)) | v109(constB77)) <=> (v109(constB77) | (~v110(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10314,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB77)) | v109(constB77))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB77) | (~v110(constB77))))),
% 48.75/31.21 inference(monotonicity,[status(thm)],[10313])).
% 48.75/31.21 tff(10315,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB77)) | v109(constB77))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB77) | (~v110(constB77)))),
% 48.75/31.21 inference(transitivity,[status(thm)],[10314, 10312])).
% 48.75/31.21 tff(10316,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB77)) | v109(constB77))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10317,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB77) | (~v110(constB77))),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10316, 10315])).
% 48.75/31.21 tff(10318,plain,
% 48.75/31.21 (v109(constB77)),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10317, 306, 10311])).
% 48.75/31.21 tff(10319,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v109(constB77)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v109(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10320,plain,
% 48.75/31.21 (((~v109(constB77)) | v108(constB77)) <=> (v108(constB77) | (~v109(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10321,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v109(constB77))))),
% 48.75/31.21 inference(monotonicity,[status(thm)],[10320])).
% 48.75/31.21 tff(10322,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v109(constB77)))),
% 48.75/31.21 inference(transitivity,[status(thm)],[10321, 10319])).
% 48.75/31.21 tff(10323,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB77)) | v108(constB77))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10324,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v109(constB77))),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10323, 10322])).
% 48.75/31.21 tff(10325,plain,
% 48.75/31.21 (v108(constB77)),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10324, 320, 10318])).
% 48.75/31.21 tff(10326,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB77)) | v107(constB77))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB77)) | v107(constB77))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10327,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB77)) | v107(constB77))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10328,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB77)) | v107(constB77)),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10327, 10326])).
% 48.75/31.21 tff(10329,plain,
% 48.75/31.21 (v107(constB77)),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10328, 334, 10325])).
% 48.75/31.21 tff(10330,assumption,(v26(constB77)), introduced(assumption)).
% 48.75/31.21 tff(10331,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10332,plain,
% 48.75/31.21 ($false),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10331, 55, 10330])).
% 48.75/31.21 tff(10333,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 48.75/31.21 tff(10334,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | v106(constB77) | (~v107(constB77)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10335,plain,
% 48.75/31.21 ((v26(constB77) | (~v107(constB77)) | v106(constB77)) <=> (v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10336,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | v106(constB77) | (~v107(constB77))))),
% 48.75/31.21 inference(monotonicity,[status(thm)],[10335])).
% 48.75/31.21 tff(10337,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 48.75/31.21 inference(transitivity,[status(thm)],[10336, 10334])).
% 48.75/31.21 tff(10338,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10339,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77))),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10338, 10337])).
% 48.75/31.21 tff(10340,plain,
% 48.75/31.21 (v106(constB77) | (~v107(constB77))),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10339, 348, 10333])).
% 48.75/31.21 tff(10341,plain,
% 48.75/31.21 (v106(constB77)),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10340, 10329])).
% 48.75/31.21 tff(10342,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB77) | (~v106(constB77)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB77) | (~v106(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10343,plain,
% 48.75/31.21 (((~v106(constB77)) | v102(constB77)) <=> (v102(constB77) | (~v106(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10344,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB77)) | v102(constB77))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB77) | (~v106(constB77))))),
% 48.75/31.21 inference(monotonicity,[status(thm)],[10343])).
% 48.75/31.21 tff(10345,plain,
% 48.75/31.21 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB77)) | v102(constB77))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB77) | (~v106(constB77)))),
% 48.75/31.21 inference(transitivity,[status(thm)],[10344, 10342])).
% 48.75/31.21 tff(10346,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB77)) | v102(constB77))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10347,plain,
% 48.75/31.21 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB77) | (~v106(constB77))),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10346, 10345])).
% 48.75/31.21 tff(10348,plain,
% 48.75/31.21 (v102(constB77)),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10347, 504, 10341])).
% 48.75/31.21 tff(10349,plain,
% 48.75/31.21 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10350,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 48.75/31.21 tff(10351,plain,
% 48.75/31.21 (nextState(constB77, constB78)),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10350, 10349])).
% 48.75/31.21 tff(10352,plain,
% 48.75/31.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10353,plain,
% 48.75/31.21 (((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78)) <=> ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10354,plain,
% 48.75/31.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77))))),
% 48.75/31.21 inference(monotonicity,[status(thm)],[10353])).
% 48.75/31.21 tff(10355,plain,
% 48.75/31.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 48.75/31.21 inference(transitivity,[status(thm)],[10354, 10352])).
% 48.75/31.21 tff(10356,plain,
% 48.75/31.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10357,plain,
% 48.75/31.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77))),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10356, 10355])).
% 48.75/31.21 tff(10358,plain,
% 48.75/31.21 (v104(constB78) | (~v102(constB77))),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10357, 489, 10351])).
% 48.75/31.21 tff(10359,plain,
% 48.75/31.21 (v104(constB78)),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10358, 10348])).
% 48.75/31.21 tff(10360,plain,
% 48.75/31.21 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10361,plain,
% 48.75/31.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10362,plain,
% 48.75/31.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78))),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10361, 10360])).
% 48.75/31.21 tff(10363,plain,
% 48.75/31.21 (~v98(constB78)),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10362, 423, 10351, 10224])).
% 48.75/31.21 tff(10364,plain,
% 48.75/31.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10365,plain,
% 48.75/31.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10366,plain,
% 48.75/31.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB77, constB78)) | v96(constB78) | v98(constB78)),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10365, 10364])).
% 48.75/31.21 tff(10367,plain,
% 48.75/31.21 (v96(constB78) | v98(constB78)),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10366, 437, 10351])).
% 48.75/31.21 tff(10368,plain,
% 48.75/31.21 (v96(constB78)),
% 48.75/31.21 inference(unit_resolution,[status(thm)],[10367, 10363])).
% 48.75/31.21 tff(10369,plain,
% 48.75/31.21 (v1(constB78) <=> v1(constB78)),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10370,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 48.75/31.21 tff(10371,plain,
% 48.75/31.21 (v1(constB78)),
% 48.75/31.21 inference(modus_ponens,[status(thm)],[10370, 10369])).
% 48.75/31.21 tff(10372,plain,
% 48.75/31.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))),
% 48.75/31.21 inference(rewrite,[status(thm)],[])).
% 48.75/31.21 tff(10373,plain,
% 48.75/31.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))),
% 48.75/31.21 inference(quant_inst,[status(thm)],[])).
% 48.75/31.21 tff(10374,plain,
% 48.75/31.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78))),
% 48.75/31.22 inference(modus_ponens,[status(thm)],[10373, 10372])).
% 48.75/31.22 tff(10375,plain,
% 48.75/31.22 (v95(constB78) | (~v96(constB78))),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10374, 455, 10351, 10371])).
% 48.75/31.22 tff(10376,plain,
% 48.75/31.22 (v95(constB78)),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10375, 10368])).
% 48.75/31.22 tff(10377,plain,
% 48.75/31.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10378,plain,
% 48.75/31.22 (((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78)) <=> ((~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10379,plain,
% 48.75/31.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78))))),
% 48.75/31.22 inference(monotonicity,[status(thm)],[10378])).
% 48.75/31.22 tff(10380,plain,
% 48.75/31.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))),
% 48.75/31.22 inference(transitivity,[status(thm)],[10379, 10377])).
% 48.75/31.22 tff(10381,plain,
% 48.75/31.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))),
% 48.75/31.22 inference(quant_inst,[status(thm)],[])).
% 48.75/31.22 tff(10382,plain,
% 48.75/31.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78))),
% 48.75/31.22 inference(modus_ponens,[status(thm)],[10381, 10380])).
% 48.75/31.22 tff(10383,plain,
% 48.75/31.22 (v94(constB78) | (~v95(constB78)) | (~v104(constB78))),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10382, 470, 10351])).
% 48.75/31.22 tff(10384,plain,
% 48.75/31.22 (v94(constB78) | (~v104(constB78))),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10383, 10376])).
% 48.75/31.22 tff(10385,plain,
% 48.75/31.22 (v94(constB78)),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10384, 10359])).
% 48.75/31.22 tff(10386,plain,
% 48.75/31.22 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB77)) | (~v124(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB77)) | (~v124(constB77, bitIndex2)))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10387,plain,
% 48.75/31.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB77)) | (~v124(constB77, bitIndex2)))),
% 48.75/31.22 inference(quant_inst,[status(thm)],[])).
% 48.75/31.22 tff(10388,plain,
% 48.75/31.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB77)) | (~v124(constB77, bitIndex2))),
% 48.75/31.22 inference(modus_ponens,[status(thm)],[10387, 10386])).
% 48.75/31.22 tff(10389,plain,
% 48.75/31.22 (~v124(constB77, bitIndex2)),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10388, 1456, 10296])).
% 48.75/31.22 tff(10390,plain,
% 48.75/31.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10391,plain,
% 48.75/31.22 ((v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2))) <=> ((~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10392,plain,
% 48.75/31.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2)))),
% 48.75/31.22 inference(monotonicity,[status(thm)],[10391])).
% 48.75/31.22 tff(10393,plain,
% 48.75/31.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))),
% 48.75/31.22 inference(transitivity,[status(thm)],[10392, 10390])).
% 48.75/31.22 tff(10394,plain,
% 48.75/31.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2)))),
% 48.75/31.22 inference(quant_inst,[status(thm)],[])).
% 48.75/31.22 tff(10395,plain,
% 48.75/31.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2)),
% 48.75/31.22 inference(modus_ponens,[status(thm)],[10394, 10393])).
% 48.75/31.22 tff(10396,plain,
% 48.75/31.22 ((~v121(constB77, bitIndex2)) | v124(constB77, bitIndex2)),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10395, 1187, 10333])).
% 48.75/31.22 tff(10397,plain,
% 48.75/31.22 (~v121(constB77, bitIndex2)),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10396, 10389])).
% 48.75/31.22 tff(10398,plain,
% 48.75/31.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2)))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10399,plain,
% 48.75/31.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2)))),
% 48.75/31.22 inference(quant_inst,[status(thm)],[])).
% 48.75/31.22 tff(10400,plain,
% 48.75/31.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2))),
% 48.75/31.22 inference(modus_ponens,[status(thm)],[10399, 10398])).
% 48.75/31.22 tff(10401,plain,
% 48.75/31.22 (v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2))),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10400, 1205, 10351])).
% 48.75/31.22 tff(10402,plain,
% 48.75/31.22 (~v123(constB78, bitIndex2)),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10401, 10397])).
% 48.75/31.22 tff(10403,plain,
% 48.75/31.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10404,plain,
% 48.75/31.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))),
% 48.75/31.22 inference(quant_inst,[status(thm)],[])).
% 48.75/31.22 tff(10405,plain,
% 48.75/31.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78))),
% 48.75/31.22 inference(modus_ponens,[status(thm)],[10404, 10403])).
% 48.75/31.22 tff(10406,plain,
% 48.75/31.22 ((~v84(constB78, bitIndex2)) | (~v94(constB78))),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10405, 1220, 10402])).
% 48.75/31.22 tff(10407,plain,
% 48.75/31.22 (~v84(constB78, bitIndex2)),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10406, 10385])).
% 48.75/31.22 tff(10408,plain,
% 48.75/31.22 ((~v1(constB79)) <=> (~v1(constB79))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10409,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 48.75/31.22 tff(10410,plain,
% 48.75/31.22 (~v1(constB79)),
% 48.75/31.22 inference(modus_ponens,[status(thm)],[10409, 10408])).
% 48.75/31.22 tff(10411,plain,
% 48.75/31.22 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10412,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 48.75/31.22 tff(10413,plain,
% 48.75/31.22 (nextState(constB78, constB79)),
% 48.75/31.22 inference(modus_ponens,[status(thm)],[10412, 10411])).
% 48.75/31.22 tff(10414,plain,
% 48.75/31.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10415,plain,
% 48.75/31.22 (((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10416,plain,
% 48.75/31.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79))))),
% 48.75/31.22 inference(monotonicity,[status(thm)],[10415])).
% 48.75/31.22 tff(10417,plain,
% 48.75/31.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 48.75/31.22 inference(transitivity,[status(thm)],[10416, 10414])).
% 48.75/31.22 tff(10418,plain,
% 48.75/31.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))),
% 48.75/31.22 inference(quant_inst,[status(thm)],[])).
% 48.75/31.22 tff(10419,plain,
% 48.75/31.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79))),
% 48.75/31.22 inference(modus_ponens,[status(thm)],[10418, 10417])).
% 48.75/31.22 tff(10420,plain,
% 48.75/31.22 (~v95(constB79)),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10419, 110, 10413, 10410])).
% 48.75/31.22 tff(10421,plain,
% 48.75/31.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10422,plain,
% 48.75/31.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))),
% 48.75/31.22 inference(quant_inst,[status(thm)],[])).
% 48.75/31.22 tff(10423,plain,
% 48.75/31.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79))),
% 48.75/31.22 inference(modus_ponens,[status(thm)],[10422, 10421])).
% 48.75/31.22 tff(10424,plain,
% 48.75/31.22 (v95(constB79) | (~v94(constB79))),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10423, 127, 10413])).
% 48.75/31.22 tff(10425,plain,
% 48.75/31.22 (~v94(constB79)),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10424, 10420])).
% 48.75/31.22 tff(10426,plain,
% 48.75/31.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10427,plain,
% 48.75/31.22 (((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2))) <=> (v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 48.75/31.22 inference(rewrite,[status(thm)],[])).
% 48.75/31.22 tff(10428,plain,
% 48.75/31.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2))))),
% 48.75/31.22 inference(monotonicity,[status(thm)],[10427])).
% 48.75/31.22 tff(10429,plain,
% 48.75/31.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 48.75/31.22 inference(transitivity,[status(thm)],[10428, 10426])).
% 48.75/31.22 tff(10430,plain,
% 48.75/31.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 48.75/31.22 inference(quant_inst,[status(thm)],[])).
% 48.75/31.22 tff(10431,plain,
% 48.75/31.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2))),
% 48.75/31.22 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 48.75/31.22 tff(10432,plain,
% 48.75/31.22 (v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2))),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10431, 142, 10413])).
% 48.75/31.22 tff(10433,plain,
% 48.75/31.22 (v84(constB78, bitIndex2) | (~v84(constB79, bitIndex2))),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10432, 10425])).
% 48.75/31.22 tff(10434,plain,
% 48.75/31.22 (~v84(constB79, bitIndex2)),
% 48.75/31.22 inference(unit_resolution,[status(thm)],[10433, 10407])).
% 48.75/31.22 tff(10435,plain,
% 48.75/31.22 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB77)) | v124(constB77, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB77)) | v124(constB77, bitIndex1))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10436,plain,
% 48.75/31.23 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB77)) | v124(constB77, bitIndex1))),
% 48.75/31.23 inference(quant_inst,[status(thm)],[])).
% 48.75/31.23 tff(10437,plain,
% 48.75/31.23 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB77)) | v124(constB77, bitIndex1)),
% 48.75/31.23 inference(modus_ponens,[status(thm)],[10436, 10435])).
% 48.75/31.23 tff(10438,plain,
% 48.75/31.23 (v124(constB77, bitIndex1)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10437, 1512, 10296])).
% 48.75/31.23 tff(10439,plain,
% 48.75/31.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10440,plain,
% 48.75/31.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1))),
% 48.75/31.23 inference(quant_inst,[status(thm)],[])).
% 48.75/31.23 tff(10441,plain,
% 48.75/31.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1)),
% 48.75/31.23 inference(modus_ponens,[status(thm)],[10440, 10439])).
% 48.75/31.23 tff(10442,plain,
% 48.75/31.23 ((~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10441, 857, 10333])).
% 48.75/31.23 tff(10443,plain,
% 48.75/31.23 (v121(constB77, bitIndex1)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10442, 10438])).
% 48.75/31.23 tff(10444,plain,
% 48.75/31.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10445,plain,
% 48.75/31.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1))),
% 48.75/31.23 inference(quant_inst,[status(thm)],[])).
% 48.75/31.23 tff(10446,plain,
% 48.75/31.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1)),
% 48.75/31.23 inference(modus_ponens,[status(thm)],[10445, 10444])).
% 48.75/31.23 tff(10447,plain,
% 48.75/31.23 ((~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10446, 872, 10351])).
% 48.75/31.23 tff(10448,plain,
% 48.75/31.23 (v123(constB78, bitIndex1)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10447, 10443])).
% 48.75/31.23 tff(10449,plain,
% 48.75/31.23 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10450,plain,
% 48.75/31.23 ((v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1))) <=> (v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10451,plain,
% 48.75/31.23 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78))))),
% 48.75/31.23 inference(monotonicity,[status(thm)],[10450])).
% 48.75/31.23 tff(10452,plain,
% 48.75/31.23 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))),
% 48.75/31.23 inference(transitivity,[status(thm)],[10451, 10449])).
% 48.75/31.23 tff(10453,plain,
% 48.75/31.23 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1)))),
% 48.75/31.23 inference(quant_inst,[status(thm)],[])).
% 48.75/31.23 tff(10454,plain,
% 48.75/31.23 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78))),
% 48.75/31.23 inference(modus_ponens,[status(thm)],[10453, 10452])).
% 48.75/31.23 tff(10455,plain,
% 48.75/31.23 (v84(constB78, bitIndex1) | (~v94(constB78))),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10454, 887, 10448])).
% 48.75/31.23 tff(10456,plain,
% 48.75/31.23 (v84(constB78, bitIndex1)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10455, 10385])).
% 48.75/31.23 tff(10457,plain,
% 48.75/31.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10458,plain,
% 48.75/31.23 (((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1)) <=> ((~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10459,plain,
% 48.75/31.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1)))),
% 48.75/31.23 inference(monotonicity,[status(thm)],[10458])).
% 48.75/31.23 tff(10460,plain,
% 48.75/31.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))),
% 48.75/31.23 inference(transitivity,[status(thm)],[10459, 10457])).
% 48.75/31.23 tff(10461,plain,
% 48.75/31.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1))),
% 48.75/31.23 inference(quant_inst,[status(thm)],[])).
% 48.75/31.23 tff(10462,plain,
% 48.75/31.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1)),
% 48.75/31.23 inference(modus_ponens,[status(thm)],[10461, 10460])).
% 48.75/31.23 tff(10463,plain,
% 48.75/31.23 ((~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10462, 905, 10413])).
% 48.75/31.23 tff(10464,plain,
% 48.75/31.23 ((~v84(constB78, bitIndex1)) | v84(constB79, bitIndex1)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10463, 10425])).
% 48.75/31.23 tff(10465,plain,
% 48.75/31.23 (v84(constB79, bitIndex1)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10464, 10456])).
% 48.75/31.23 tff(10466,plain,
% 48.75/31.23 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB77)) | (~v124(constB77, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB77)) | (~v124(constB77, bitIndex0)))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10467,plain,
% 48.75/31.23 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB77)) | (~v124(constB77, bitIndex0)))),
% 48.75/31.23 inference(quant_inst,[status(thm)],[])).
% 48.75/31.23 tff(10468,plain,
% 48.75/31.23 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB77)) | (~v124(constB77, bitIndex0))),
% 48.75/31.23 inference(modus_ponens,[status(thm)],[10467, 10466])).
% 48.75/31.23 tff(10469,plain,
% 48.75/31.23 (~v124(constB77, bitIndex0)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10468, 1550, 10296])).
% 48.75/31.23 tff(10470,plain,
% 48.75/31.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10471,plain,
% 48.75/31.23 ((v26(constB77) | v124(constB77, bitIndex0) | (~v121(constB77, bitIndex0))) <=> ((~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10472,plain,
% 48.75/31.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB77) | v124(constB77, bitIndex0) | (~v121(constB77, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0)))),
% 48.75/31.23 inference(monotonicity,[status(thm)],[10471])).
% 48.75/31.23 tff(10473,plain,
% 48.75/31.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB77) | v124(constB77, bitIndex0) | (~v121(constB77, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0))),
% 48.75/31.23 inference(transitivity,[status(thm)],[10472, 10470])).
% 48.75/31.23 tff(10474,plain,
% 48.75/31.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB77) | v124(constB77, bitIndex0) | (~v121(constB77, bitIndex0)))),
% 48.75/31.23 inference(quant_inst,[status(thm)],[])).
% 48.75/31.23 tff(10475,plain,
% 48.75/31.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0)),
% 48.75/31.23 inference(modus_ponens,[status(thm)],[10474, 10473])).
% 48.75/31.23 tff(10476,plain,
% 48.75/31.23 ((~v121(constB77, bitIndex0)) | v124(constB77, bitIndex0)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10475, 607, 10333])).
% 48.75/31.23 tff(10477,plain,
% 48.75/31.23 (~v121(constB77, bitIndex0)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10476, 10469])).
% 48.75/31.23 tff(10478,plain,
% 48.75/31.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0)))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10479,plain,
% 48.75/31.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0)))),
% 48.75/31.23 inference(quant_inst,[status(thm)],[])).
% 48.75/31.23 tff(10480,plain,
% 48.75/31.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0))),
% 48.75/31.23 inference(modus_ponens,[status(thm)],[10479, 10478])).
% 48.75/31.23 tff(10481,plain,
% 48.75/31.23 (v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0))),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10480, 637, 10351])).
% 48.75/31.23 tff(10482,plain,
% 48.75/31.23 (~v123(constB78, bitIndex0)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10481, 10477])).
% 48.75/31.23 tff(10483,plain,
% 48.75/31.23 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78)))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10484,plain,
% 48.75/31.23 (((~v84(constB78, bitIndex0)) | (~v94(constB78)) | v123(constB78, bitIndex0)) <=> ((~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78)))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10485,plain,
% 48.75/31.23 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~v94(constB78)) | v123(constB78, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78))))),
% 48.75/31.23 inference(monotonicity,[status(thm)],[10484])).
% 48.75/31.23 tff(10486,plain,
% 48.75/31.23 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~v94(constB78)) | v123(constB78, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78)))),
% 48.75/31.23 inference(transitivity,[status(thm)],[10485, 10483])).
% 48.75/31.23 tff(10487,plain,
% 48.75/31.23 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~v94(constB78)) | v123(constB78, bitIndex0))),
% 48.75/31.23 inference(quant_inst,[status(thm)],[])).
% 48.75/31.23 tff(10488,plain,
% 48.75/31.23 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78))),
% 48.75/31.23 inference(modus_ponens,[status(thm)],[10487, 10486])).
% 48.75/31.23 tff(10489,plain,
% 48.75/31.23 ((~v84(constB78, bitIndex0)) | (~v94(constB78))),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10488, 652, 10482])).
% 48.75/31.23 tff(10490,plain,
% 48.75/31.23 (~v84(constB78, bitIndex0)),
% 48.75/31.23 inference(unit_resolution,[status(thm)],[10489, 10385])).
% 48.75/31.23 tff(10491,plain,
% 48.75/31.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0)))),
% 48.75/31.23 inference(rewrite,[status(thm)],[])).
% 48.75/31.23 tff(10492,plain,
% 48.75/31.23 (((~nextState(constB78, constB79)) | v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0))) <=> (v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0)))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10493,plain,
% 48.75/31.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0))))),
% 48.75/31.24 inference(monotonicity,[status(thm)],[10492])).
% 48.75/31.24 tff(10494,plain,
% 48.75/31.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0)))),
% 48.75/31.24 inference(transitivity,[status(thm)],[10493, 10491])).
% 48.75/31.24 tff(10495,plain,
% 48.75/31.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0)))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10496,plain,
% 48.75/31.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0))),
% 48.75/31.24 inference(modus_ponens,[status(thm)],[10495, 10494])).
% 48.75/31.24 tff(10497,plain,
% 48.75/31.24 (v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0))),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10496, 184, 10413])).
% 48.75/31.24 tff(10498,plain,
% 48.75/31.24 (v84(constB78, bitIndex0) | (~v84(constB79, bitIndex0))),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10497, 10425])).
% 48.75/31.24 tff(10499,plain,
% 48.75/31.24 (~v84(constB79, bitIndex0)),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10498, 10490])).
% 48.75/31.24 tff(10500,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v115(constB79))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v115(constB79))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10501,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v115(constB79))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10502,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v115(constB79)),
% 48.75/31.24 inference(modus_ponens,[status(thm)],[10501, 10500])).
% 48.75/31.24 tff(10503,plain,
% 48.75/31.24 (v115(constB79)),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10502, 1594, 10499, 10465, 10434])).
% 48.75/31.24 tff(10504,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB79)) | v111(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB79)) | v111(constB79))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10505,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB79)) | v111(constB79))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10506,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB79)) | v111(constB79)),
% 48.75/31.24 inference(modus_ponens,[status(thm)],[10505, 10504])).
% 48.75/31.24 tff(10507,plain,
% 48.75/31.24 (v111(constB79)),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10506, 1605, 10503])).
% 48.75/31.24 tff(10508,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB79)) | v110(constB79))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB79)) | v110(constB79))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10509,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB79)) | v110(constB79))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10510,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB79)) | v110(constB79)),
% 48.75/31.24 inference(modus_ponens,[status(thm)],[10509, 10508])).
% 48.75/31.24 tff(10511,plain,
% 48.75/31.24 (v110(constB79)),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10510, 292, 10507])).
% 48.75/31.24 tff(10512,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB79) | (~v110(constB79)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB79) | (~v110(constB79)))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10513,plain,
% 48.75/31.24 (((~v110(constB79)) | v109(constB79)) <=> (v109(constB79) | (~v110(constB79)))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10514,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB79)) | v109(constB79))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB79) | (~v110(constB79))))),
% 48.75/31.24 inference(monotonicity,[status(thm)],[10513])).
% 48.75/31.24 tff(10515,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB79)) | v109(constB79))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB79) | (~v110(constB79)))),
% 48.75/31.24 inference(transitivity,[status(thm)],[10514, 10512])).
% 48.75/31.24 tff(10516,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB79)) | v109(constB79))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10517,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB79) | (~v110(constB79))),
% 48.75/31.24 inference(modus_ponens,[status(thm)],[10516, 10515])).
% 48.75/31.24 tff(10518,plain,
% 48.75/31.24 (v109(constB79)),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10517, 306, 10511])).
% 48.75/31.24 tff(10519,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v109(constB79)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v109(constB79)))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10520,plain,
% 48.75/31.24 (((~v109(constB79)) | v108(constB79)) <=> (v108(constB79) | (~v109(constB79)))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10521,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v109(constB79))))),
% 48.75/31.24 inference(monotonicity,[status(thm)],[10520])).
% 48.75/31.24 tff(10522,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v109(constB79)))),
% 48.75/31.24 inference(transitivity,[status(thm)],[10521, 10519])).
% 48.75/31.24 tff(10523,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB79)) | v108(constB79))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10524,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v109(constB79))),
% 48.75/31.24 inference(modus_ponens,[status(thm)],[10523, 10522])).
% 48.75/31.24 tff(10525,plain,
% 48.75/31.24 (v108(constB79)),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10524, 320, 10518])).
% 48.75/31.24 tff(10526,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB79)) | v107(constB79))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB79)) | v107(constB79))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10527,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB79)) | v107(constB79))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10528,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB79)) | v107(constB79)),
% 48.75/31.24 inference(modus_ponens,[status(thm)],[10527, 10526])).
% 48.75/31.24 tff(10529,plain,
% 48.75/31.24 (v107(constB79)),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10528, 334, 10525])).
% 48.75/31.24 tff(10530,assumption,(v26(constB79)), introduced(assumption)).
% 48.75/31.24 tff(10531,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB79))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10532,plain,
% 48.75/31.24 ($false),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10531, 55, 10530])).
% 48.75/31.24 tff(10533,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 48.75/31.24 tff(10534,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | (~v107(constB79)) | v106(constB79))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10535,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10536,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | (~v107(constB79)) | v106(constB79)),
% 48.75/31.24 inference(modus_ponens,[status(thm)],[10535, 10534])).
% 48.75/31.24 tff(10537,plain,
% 48.75/31.24 ((~v107(constB79)) | v106(constB79)),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10536, 348, 10533])).
% 48.75/31.24 tff(10538,plain,
% 48.75/31.24 (v106(constB79)),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10537, 10529])).
% 48.75/31.24 tff(10539,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB79) | (~v106(constB79)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB79) | (~v106(constB79)))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10540,plain,
% 48.75/31.24 (((~v106(constB79)) | v102(constB79)) <=> (v102(constB79) | (~v106(constB79)))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10541,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB79)) | v102(constB79))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB79) | (~v106(constB79))))),
% 48.75/31.24 inference(monotonicity,[status(thm)],[10540])).
% 48.75/31.24 tff(10542,plain,
% 48.75/31.24 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB79)) | v102(constB79))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB79) | (~v106(constB79)))),
% 48.75/31.24 inference(transitivity,[status(thm)],[10541, 10539])).
% 48.75/31.24 tff(10543,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB79)) | v102(constB79))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10544,plain,
% 48.75/31.24 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB79) | (~v106(constB79))),
% 48.75/31.24 inference(modus_ponens,[status(thm)],[10543, 10542])).
% 48.75/31.24 tff(10545,plain,
% 48.75/31.24 (v102(constB79)),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10544, 504, 10538])).
% 48.75/31.24 tff(10546,plain,
% 48.75/31.24 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10547,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 48.75/31.24 tff(10548,plain,
% 48.75/31.24 (nextState(constB79, constB80)),
% 48.75/31.24 inference(modus_ponens,[status(thm)],[10547, 10546])).
% 48.75/31.24 tff(10549,plain,
% 48.75/31.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10550,plain,
% 48.75/31.24 (((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80)) <=> ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10551,plain,
% 48.75/31.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79))))),
% 48.75/31.24 inference(monotonicity,[status(thm)],[10550])).
% 48.75/31.24 tff(10552,plain,
% 48.75/31.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 48.75/31.24 inference(transitivity,[status(thm)],[10551, 10549])).
% 48.75/31.24 tff(10553,plain,
% 48.75/31.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10554,plain,
% 48.75/31.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79))),
% 48.75/31.24 inference(modus_ponens,[status(thm)],[10553, 10552])).
% 48.75/31.24 tff(10555,plain,
% 48.75/31.24 (v104(constB80) | (~v102(constB79))),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10554, 489, 10548])).
% 48.75/31.24 tff(10556,plain,
% 48.75/31.24 (v104(constB80)),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10555, 10545])).
% 48.75/31.24 tff(10557,plain,
% 48.75/31.24 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10558,plain,
% 48.75/31.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10559,plain,
% 48.75/31.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80))),
% 48.75/31.24 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 48.75/31.24 tff(10560,plain,
% 48.75/31.24 (~v98(constB80)),
% 48.75/31.24 inference(unit_resolution,[status(thm)],[10559, 423, 10548, 10410])).
% 48.75/31.24 tff(10561,plain,
% 48.75/31.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))),
% 48.75/31.24 inference(rewrite,[status(thm)],[])).
% 48.75/31.24 tff(10562,plain,
% 48.75/31.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))),
% 48.75/31.24 inference(quant_inst,[status(thm)],[])).
% 48.75/31.24 tff(10563,plain,
% 48.75/31.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB79, constB80)) | v96(constB80) | v98(constB80)),
% 48.75/31.25 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 48.75/31.25 tff(10564,plain,
% 48.75/31.25 (v96(constB80) | v98(constB80)),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10563, 437, 10548])).
% 48.75/31.25 tff(10565,plain,
% 48.75/31.25 (v96(constB80)),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10564, 10560])).
% 48.75/31.25 tff(10566,plain,
% 48.75/31.25 (v1(constB80) <=> v1(constB80)),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10567,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 48.75/31.25 tff(10568,plain,
% 48.75/31.25 (v1(constB80)),
% 48.75/31.25 inference(modus_ponens,[status(thm)],[10567, 10566])).
% 48.75/31.25 tff(10569,plain,
% 48.75/31.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10570,plain,
% 48.75/31.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))),
% 48.75/31.25 inference(quant_inst,[status(thm)],[])).
% 48.75/31.25 tff(10571,plain,
% 48.75/31.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80))),
% 48.75/31.25 inference(modus_ponens,[status(thm)],[10570, 10569])).
% 48.75/31.25 tff(10572,plain,
% 48.75/31.25 (v95(constB80) | (~v96(constB80))),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10571, 455, 10548, 10568])).
% 48.75/31.25 tff(10573,plain,
% 48.75/31.25 (v95(constB80)),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10572, 10565])).
% 48.75/31.25 tff(10574,plain,
% 48.75/31.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10575,plain,
% 48.75/31.25 (((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80)) <=> ((~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10576,plain,
% 48.75/31.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80))))),
% 48.75/31.25 inference(monotonicity,[status(thm)],[10575])).
% 48.75/31.25 tff(10577,plain,
% 48.75/31.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))),
% 48.75/31.25 inference(transitivity,[status(thm)],[10576, 10574])).
% 48.75/31.25 tff(10578,plain,
% 48.75/31.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))),
% 48.75/31.25 inference(quant_inst,[status(thm)],[])).
% 48.75/31.25 tff(10579,plain,
% 48.75/31.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80))),
% 48.75/31.25 inference(modus_ponens,[status(thm)],[10578, 10577])).
% 48.75/31.25 tff(10580,plain,
% 48.75/31.25 (v94(constB80) | (~v95(constB80)) | (~v104(constB80))),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10579, 470, 10548])).
% 48.75/31.25 tff(10581,plain,
% 48.75/31.25 (v94(constB80) | (~v104(constB80))),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10580, 10573])).
% 48.75/31.25 tff(10582,plain,
% 48.75/31.25 (v94(constB80)),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10581, 10556])).
% 48.75/31.25 tff(10583,plain,
% 48.75/31.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB79)) | (~v124(constB79, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB79)) | (~v124(constB79, bitIndex2)))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10584,plain,
% 48.75/31.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB79)) | (~v124(constB79, bitIndex2)))),
% 48.75/31.25 inference(quant_inst,[status(thm)],[])).
% 48.75/31.25 tff(10585,plain,
% 48.75/31.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB79)) | (~v124(constB79, bitIndex2))),
% 48.75/31.25 inference(modus_ponens,[status(thm)],[10584, 10583])).
% 48.75/31.25 tff(10586,plain,
% 48.75/31.25 (~v124(constB79, bitIndex2)),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10585, 1690, 10503])).
% 48.75/31.25 tff(10587,plain,
% 48.75/31.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB79, bitIndex2)) | v26(constB79) | v124(constB79, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB79, bitIndex2)) | v26(constB79) | v124(constB79, bitIndex2))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10588,plain,
% 48.75/31.25 ((v26(constB79) | v124(constB79, bitIndex2) | (~v121(constB79, bitIndex2))) <=> ((~v121(constB79, bitIndex2)) | v26(constB79) | v124(constB79, bitIndex2))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10589,plain,
% 48.75/31.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB79) | v124(constB79, bitIndex2) | (~v121(constB79, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB79, bitIndex2)) | v26(constB79) | v124(constB79, bitIndex2)))),
% 48.75/31.25 inference(monotonicity,[status(thm)],[10588])).
% 48.75/31.25 tff(10590,plain,
% 48.75/31.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB79) | v124(constB79, bitIndex2) | (~v121(constB79, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB79, bitIndex2)) | v26(constB79) | v124(constB79, bitIndex2))),
% 48.75/31.25 inference(transitivity,[status(thm)],[10589, 10587])).
% 48.75/31.25 tff(10591,plain,
% 48.75/31.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB79) | v124(constB79, bitIndex2) | (~v121(constB79, bitIndex2)))),
% 48.75/31.25 inference(quant_inst,[status(thm)],[])).
% 48.75/31.25 tff(10592,plain,
% 48.75/31.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB79, bitIndex2)) | v26(constB79) | v124(constB79, bitIndex2)),
% 48.75/31.25 inference(modus_ponens,[status(thm)],[10591, 10590])).
% 48.75/31.25 tff(10593,plain,
% 48.75/31.25 ((~v121(constB79, bitIndex2)) | v124(constB79, bitIndex2)),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10592, 1187, 10533])).
% 48.75/31.25 tff(10594,plain,
% 48.75/31.25 (~v121(constB79, bitIndex2)),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10593, 10586])).
% 48.75/31.25 tff(10595,plain,
% 48.75/31.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB79, constB80)) | v121(constB79, bitIndex2) | (~v123(constB80, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB79, constB80)) | v121(constB79, bitIndex2) | (~v123(constB80, bitIndex2)))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10596,plain,
% 48.75/31.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB79, constB80)) | v121(constB79, bitIndex2) | (~v123(constB80, bitIndex2)))),
% 48.75/31.25 inference(quant_inst,[status(thm)],[])).
% 48.75/31.25 tff(10597,plain,
% 48.75/31.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB79, constB80)) | v121(constB79, bitIndex2) | (~v123(constB80, bitIndex2))),
% 48.75/31.25 inference(modus_ponens,[status(thm)],[10596, 10595])).
% 48.75/31.25 tff(10598,plain,
% 48.75/31.25 (v121(constB79, bitIndex2) | (~v123(constB80, bitIndex2))),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10597, 1205, 10548])).
% 48.75/31.25 tff(10599,plain,
% 48.75/31.25 (~v123(constB80, bitIndex2)),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10598, 10594])).
% 48.75/31.25 tff(10600,plain,
% 48.75/31.25 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB80, bitIndex2)) | v123(constB80, bitIndex2) | (~v94(constB80)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB80, bitIndex2)) | v123(constB80, bitIndex2) | (~v94(constB80)))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10601,plain,
% 48.75/31.25 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB80, bitIndex2)) | v123(constB80, bitIndex2) | (~v94(constB80)))),
% 48.75/31.25 inference(quant_inst,[status(thm)],[])).
% 48.75/31.25 tff(10602,plain,
% 48.75/31.25 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB80, bitIndex2)) | v123(constB80, bitIndex2) | (~v94(constB80))),
% 48.75/31.25 inference(modus_ponens,[status(thm)],[10601, 10600])).
% 48.75/31.25 tff(10603,plain,
% 48.75/31.25 ((~v84(constB80, bitIndex2)) | (~v94(constB80))),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10602, 1220, 10599])).
% 48.75/31.25 tff(10604,plain,
% 48.75/31.25 (~v84(constB80, bitIndex2)),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10603, 10582])).
% 48.75/31.25 tff(10605,plain,
% 48.75/31.25 ((~v1(constB81)) <=> (~v1(constB81))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10606,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 48.75/31.25 tff(10607,plain,
% 48.75/31.25 (~v1(constB81)),
% 48.75/31.25 inference(modus_ponens,[status(thm)],[10606, 10605])).
% 48.75/31.25 tff(10608,plain,
% 48.75/31.25 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10609,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 48.75/31.25 tff(10610,plain,
% 48.75/31.25 (nextState(constB80, constB81)),
% 48.75/31.25 inference(modus_ponens,[status(thm)],[10609, 10608])).
% 48.75/31.25 tff(10611,plain,
% 48.75/31.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10612,plain,
% 48.75/31.25 (((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10613,plain,
% 48.75/31.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81))))),
% 48.75/31.25 inference(monotonicity,[status(thm)],[10612])).
% 48.75/31.25 tff(10614,plain,
% 48.75/31.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 48.75/31.25 inference(transitivity,[status(thm)],[10613, 10611])).
% 48.75/31.25 tff(10615,plain,
% 48.75/31.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))),
% 48.75/31.25 inference(quant_inst,[status(thm)],[])).
% 48.75/31.25 tff(10616,plain,
% 48.75/31.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81))),
% 48.75/31.25 inference(modus_ponens,[status(thm)],[10615, 10614])).
% 48.75/31.25 tff(10617,plain,
% 48.75/31.25 (~v95(constB81)),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10616, 110, 10610, 10607])).
% 48.75/31.25 tff(10618,plain,
% 48.75/31.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10619,plain,
% 48.75/31.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))),
% 48.75/31.25 inference(quant_inst,[status(thm)],[])).
% 48.75/31.25 tff(10620,plain,
% 48.75/31.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81))),
% 48.75/31.25 inference(modus_ponens,[status(thm)],[10619, 10618])).
% 48.75/31.25 tff(10621,plain,
% 48.75/31.25 (v95(constB81) | (~v94(constB81))),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10620, 127, 10610])).
% 48.75/31.25 tff(10622,plain,
% 48.75/31.25 (~v94(constB81)),
% 48.75/31.25 inference(unit_resolution,[status(thm)],[10621, 10617])).
% 48.75/31.25 tff(10623,plain,
% 48.75/31.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex2)))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10624,plain,
% 48.75/31.25 (((~nextState(constB80, constB81)) | v84(constB80, bitIndex2) | v94(constB81) | (~v84(constB81, bitIndex2))) <=> (v84(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex2)))),
% 48.75/31.25 inference(rewrite,[status(thm)],[])).
% 48.75/31.25 tff(10625,plain,
% 48.75/31.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex2) | v94(constB81) | (~v84(constB81, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex2))))),
% 48.75/31.25 inference(monotonicity,[status(thm)],[10624])).
% 48.75/31.25 tff(10626,plain,
% 48.75/31.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex2) | v94(constB81) | (~v84(constB81, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex2)))),
% 48.75/31.26 inference(transitivity,[status(thm)],[10625, 10623])).
% 48.75/31.26 tff(10627,plain,
% 48.75/31.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex2) | v94(constB81) | (~v84(constB81, bitIndex2)))),
% 48.75/31.26 inference(quant_inst,[status(thm)],[])).
% 48.75/31.26 tff(10628,plain,
% 48.75/31.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex2))),
% 48.75/31.26 inference(modus_ponens,[status(thm)],[10627, 10626])).
% 48.75/31.26 tff(10629,plain,
% 48.75/31.26 (v84(constB80, bitIndex2) | v94(constB81) | (~v84(constB81, bitIndex2))),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10628, 142, 10610])).
% 48.75/31.26 tff(10630,plain,
% 48.75/31.26 (v84(constB80, bitIndex2) | (~v84(constB81, bitIndex2))),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10629, 10622])).
% 48.75/31.26 tff(10631,plain,
% 48.75/31.26 (~v84(constB81, bitIndex2)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10630, 10604])).
% 48.75/31.26 tff(10632,plain,
% 48.75/31.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB79)) | v124(constB79, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB79)) | v124(constB79, bitIndex1))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10633,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB79)) | v124(constB79, bitIndex1))),
% 48.75/31.26 inference(quant_inst,[status(thm)],[])).
% 48.75/31.26 tff(10634,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB79)) | v124(constB79, bitIndex1)),
% 48.75/31.26 inference(modus_ponens,[status(thm)],[10633, 10632])).
% 48.75/31.26 tff(10635,plain,
% 48.75/31.26 (v124(constB79, bitIndex1)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10634, 1746, 10503])).
% 48.75/31.26 tff(10636,plain,
% 48.75/31.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB79) | (~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB79) | (~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10637,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB79) | (~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1))),
% 48.75/31.26 inference(quant_inst,[status(thm)],[])).
% 48.75/31.26 tff(10638,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB79) | (~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1)),
% 48.75/31.26 inference(modus_ponens,[status(thm)],[10637, 10636])).
% 48.75/31.26 tff(10639,plain,
% 48.75/31.26 ((~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10638, 857, 10533])).
% 48.75/31.26 tff(10640,plain,
% 48.75/31.26 (v121(constB79, bitIndex1)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10639, 10635])).
% 48.75/31.26 tff(10641,plain,
% 48.75/31.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10642,plain,
% 48.75/31.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1))),
% 48.75/31.26 inference(quant_inst,[status(thm)],[])).
% 48.75/31.26 tff(10643,plain,
% 48.75/31.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1)),
% 48.75/31.26 inference(modus_ponens,[status(thm)],[10642, 10641])).
% 48.75/31.26 tff(10644,plain,
% 48.75/31.26 ((~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10643, 872, 10548])).
% 48.75/31.26 tff(10645,plain,
% 48.75/31.26 (v123(constB80, bitIndex1)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10644, 10640])).
% 48.75/31.26 tff(10646,plain,
% 48.75/31.26 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80)))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10647,plain,
% 48.75/31.26 ((v84(constB80, bitIndex1) | (~v94(constB80)) | (~v123(constB80, bitIndex1))) <=> (v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80)))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10648,plain,
% 48.75/31.26 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v94(constB80)) | (~v123(constB80, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80))))),
% 48.75/31.26 inference(monotonicity,[status(thm)],[10647])).
% 48.75/31.26 tff(10649,plain,
% 48.75/31.26 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v94(constB80)) | (~v123(constB80, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80)))),
% 48.75/31.26 inference(transitivity,[status(thm)],[10648, 10646])).
% 48.75/31.26 tff(10650,plain,
% 48.75/31.26 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v94(constB80)) | (~v123(constB80, bitIndex1)))),
% 48.75/31.26 inference(quant_inst,[status(thm)],[])).
% 48.75/31.26 tff(10651,plain,
% 48.75/31.26 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80))),
% 48.75/31.26 inference(modus_ponens,[status(thm)],[10650, 10649])).
% 48.75/31.26 tff(10652,plain,
% 48.75/31.26 (v84(constB80, bitIndex1) | (~v94(constB80))),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10651, 887, 10645])).
% 48.75/31.26 tff(10653,plain,
% 48.75/31.26 (v84(constB80, bitIndex1)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10652, 10582])).
% 48.75/31.26 tff(10654,plain,
% 48.75/31.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10655,plain,
% 48.75/31.26 (((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1)) <=> ((~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10656,plain,
% 48.75/31.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1)))),
% 48.75/31.26 inference(monotonicity,[status(thm)],[10655])).
% 48.75/31.26 tff(10657,plain,
% 48.75/31.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1))),
% 48.75/31.26 inference(transitivity,[status(thm)],[10656, 10654])).
% 48.75/31.26 tff(10658,plain,
% 48.75/31.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1))),
% 48.75/31.26 inference(quant_inst,[status(thm)],[])).
% 48.75/31.26 tff(10659,plain,
% 48.75/31.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1)),
% 48.75/31.26 inference(modus_ponens,[status(thm)],[10658, 10657])).
% 48.75/31.26 tff(10660,plain,
% 48.75/31.26 ((~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10659, 905, 10610])).
% 48.75/31.26 tff(10661,plain,
% 48.75/31.26 ((~v84(constB80, bitIndex1)) | v84(constB81, bitIndex1)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10660, 10622])).
% 48.75/31.26 tff(10662,plain,
% 48.75/31.26 (v84(constB81, bitIndex1)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10661, 10653])).
% 48.75/31.26 tff(10663,plain,
% 48.75/31.26 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB79)) | (~v84(constB79, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB79)) | (~v84(constB79, bitIndex1)))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10664,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB79)) | (~v84(constB79, bitIndex1)))),
% 48.75/31.26 inference(quant_inst,[status(thm)],[])).
% 48.75/31.26 tff(10665,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB79)) | (~v84(constB79, bitIndex1))),
% 48.75/31.26 inference(modus_ponens,[status(thm)],[10664, 10663])).
% 48.75/31.26 tff(10666,plain,
% 48.75/31.26 (~v172(constB79)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10665, 1080, 10465])).
% 48.75/31.26 tff(10667,plain,
% 48.75/31.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB79)) | v84(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB79)) | v84(constB79, bitIndex0))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10668,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB79)) | v84(constB79, bitIndex0))),
% 48.75/31.26 inference(quant_inst,[status(thm)],[])).
% 48.75/31.26 tff(10669,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB79)) | v84(constB79, bitIndex0)),
% 48.75/31.26 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 48.75/31.26 tff(10670,plain,
% 48.75/31.26 (~v116(constB79)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10669, 2699, 10499])).
% 48.75/31.26 tff(10671,plain,
% 48.75/31.26 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB79)) | (~v84(constB79, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB79)) | (~v84(constB79, bitIndex1)))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10672,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB79)) | (~v84(constB79, bitIndex1)))),
% 48.75/31.26 inference(quant_inst,[status(thm)],[])).
% 48.75/31.26 tff(10673,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB79)) | (~v84(constB79, bitIndex1))),
% 48.75/31.26 inference(modus_ponens,[status(thm)],[10672, 10671])).
% 48.75/31.26 tff(10674,plain,
% 48.75/31.26 (~v145(constB79)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10673, 1091, 10465])).
% 48.75/31.26 tff(10675,plain,
% 48.75/31.26 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB79)) | (~v84(constB79, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB79)) | (~v84(constB79, bitIndex1)))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10676,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB79)) | (~v84(constB79, bitIndex1)))),
% 48.75/31.26 inference(quant_inst,[status(thm)],[])).
% 48.75/31.26 tff(10677,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB79)) | (~v84(constB79, bitIndex1))),
% 48.75/31.26 inference(modus_ponens,[status(thm)],[10676, 10675])).
% 48.75/31.26 tff(10678,plain,
% 48.75/31.26 (~v113(constB79)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10677, 1058, 10465])).
% 48.75/31.26 tff(10679,assumption,(~v116(constB79)), introduced(assumption)).
% 48.75/31.26 tff(10680,assumption,(~v124(constB79, bitIndex0)), introduced(assumption)).
% 48.75/31.26 tff(10681,assumption,(~v113(constB79)), introduced(assumption)).
% 48.75/31.26 tff(10682,assumption,(~v172(constB79)), introduced(assumption)).
% 48.75/31.26 tff(10683,plain,
% 48.75/31.26 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB79)) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB79)) | v124(constB79, bitIndex0))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10684,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB79)) | v124(constB79, bitIndex0))),
% 48.75/31.26 inference(quant_inst,[status(thm)],[])).
% 48.75/31.26 tff(10685,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB79)) | v124(constB79, bitIndex0)),
% 48.75/31.26 inference(modus_ponens,[status(thm)],[10684, 10683])).
% 48.75/31.26 tff(10686,plain,
% 48.75/31.26 (~v118(constB79)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10685, 4562, 10680])).
% 48.75/31.26 tff(10687,plain,
% 48.75/31.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB79)) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB79)) | v124(constB79, bitIndex0))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10688,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB79)) | v124(constB79, bitIndex0))),
% 48.75/31.26 inference(quant_inst,[status(thm)],[])).
% 48.75/31.26 tff(10689,plain,
% 48.75/31.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB79)) | v124(constB79, bitIndex0)),
% 48.75/31.26 inference(modus_ponens,[status(thm)],[10688, 10687])).
% 48.75/31.26 tff(10690,plain,
% 48.75/31.26 (~v115(constB79)),
% 48.75/31.26 inference(unit_resolution,[status(thm)],[10689, 1784, 10680])).
% 48.75/31.26 tff(10691,assumption,(~v145(constB79)), introduced(assumption)).
% 48.75/31.26 tff(10692,plain,
% 48.75/31.26 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB79) | v118(constB79) | v145(constB79) | v116(constB79) | v115(constB79) | v113(constB79) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB79) | v118(constB79) | v145(constB79) | v116(constB79) | v115(constB79) | v113(constB79) | v124(constB79, bitIndex0))),
% 48.75/31.26 inference(rewrite,[status(thm)],[])).
% 48.75/31.26 tff(10693,plain,
% 48.75/31.27 ((v113(constB79) | v145(constB79) | v115(constB79) | v116(constB79) | v172(constB79) | v118(constB79) | v124(constB79, bitIndex0)) <=> (v172(constB79) | v118(constB79) | v145(constB79) | v116(constB79) | v115(constB79) | v113(constB79) | v124(constB79, bitIndex0))),
% 48.75/31.27 inference(rewrite,[status(thm)],[])).
% 48.75/31.27 tff(10694,plain,
% 48.75/31.27 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB79) | v145(constB79) | v115(constB79) | v116(constB79) | v172(constB79) | v118(constB79) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB79) | v118(constB79) | v145(constB79) | v116(constB79) | v115(constB79) | v113(constB79) | v124(constB79, bitIndex0)))),
% 48.75/31.27 inference(monotonicity,[status(thm)],[10693])).
% 48.75/31.27 tff(10695,plain,
% 48.75/31.27 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB79) | v145(constB79) | v115(constB79) | v116(constB79) | v172(constB79) | v118(constB79) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB79) | v118(constB79) | v145(constB79) | v116(constB79) | v115(constB79) | v113(constB79) | v124(constB79, bitIndex0))),
% 48.75/31.27 inference(transitivity,[status(thm)],[10694, 10692])).
% 48.75/31.27 tff(10696,plain,
% 48.75/31.27 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB79) | v145(constB79) | v115(constB79) | v116(constB79) | v172(constB79) | v118(constB79) | v124(constB79, bitIndex0))),
% 48.75/31.27 inference(quant_inst,[status(thm)],[])).
% 48.75/31.27 tff(10697,plain,
% 48.75/31.27 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB79) | v118(constB79) | v145(constB79) | v116(constB79) | v115(constB79) | v113(constB79) | v124(constB79, bitIndex0)),
% 48.75/31.27 inference(modus_ponens,[status(thm)],[10696, 10695])).
% 48.75/31.27 tff(10698,plain,
% 48.75/31.27 (v172(constB79) | v118(constB79) | v116(constB79) | v115(constB79) | v113(constB79) | v124(constB79, bitIndex0)),
% 48.75/31.27 inference(unit_resolution,[status(thm)],[10697, 1374, 10691])).
% 48.75/31.27 tff(10699,plain,
% 48.75/31.27 ($false),
% 48.75/31.27 inference(unit_resolution,[status(thm)],[10698, 10690, 10686, 10682, 10681, 10680, 10679])).
% 48.75/31.27 tff(10700,plain,(v124(constB79, bitIndex0) | v172(constB79) | v113(constB79) | v116(constB79) | v145(constB79)), inference(lemma,lemma(discharge,[]))).
% 48.75/31.27 tff(10701,plain,
% 48.75/31.27 (v124(constB79, bitIndex0)),
% 48.75/31.27 inference(unit_resolution,[status(thm)],[10700, 10678, 10674, 10670, 10666])).
% 48.75/31.27 tff(10702,plain,
% 48.75/31.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB79) | (~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB79) | (~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0))),
% 48.75/31.27 inference(rewrite,[status(thm)],[])).
% 48.75/31.27 tff(10703,plain,
% 48.75/31.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB79) | (~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0))),
% 48.75/31.27 inference(quant_inst,[status(thm)],[])).
% 48.75/31.27 tff(10704,plain,
% 48.75/31.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB79) | (~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0)),
% 48.75/31.27 inference(modus_ponens,[status(thm)],[10703, 10702])).
% 48.75/31.27 tff(10705,plain,
% 48.75/31.27 ((~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0)),
% 48.75/31.27 inference(unit_resolution,[status(thm)],[10704, 1391, 10533])).
% 48.75/31.27 tff(10706,plain,
% 48.75/31.27 (v121(constB79, bitIndex0)),
% 48.75/31.27 inference(unit_resolution,[status(thm)],[10705, 10701])).
% 48.75/31.27 tff(10707,plain,
% 48.75/31.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0))),
% 48.75/31.27 inference(rewrite,[status(thm)],[])).
% 48.75/31.27 tff(10708,plain,
% 48.75/31.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0))),
% 48.75/31.27 inference(quant_inst,[status(thm)],[])).
% 48.75/31.27 tff(10709,plain,
% 48.75/31.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0)),
% 48.75/31.27 inference(modus_ponens,[status(thm)],[10708, 10707])).
% 48.75/31.27 tff(10710,plain,
% 48.75/31.27 ((~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0)),
% 48.75/31.27 inference(unit_resolution,[status(thm)],[10709, 1406, 10548])).
% 48.75/31.27 tff(10711,plain,
% 48.75/31.27 (v123(constB80, bitIndex0)),
% 48.75/31.27 inference(unit_resolution,[status(thm)],[10710, 10706])).
% 48.75/31.27 tff(10712,plain,
% 48.75/31.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80)))),
% 48.75/31.27 inference(rewrite,[status(thm)],[])).
% 48.75/31.27 tff(10713,plain,
% 48.75/31.27 ((v84(constB80, bitIndex0) | (~v94(constB80)) | (~v123(constB80, bitIndex0))) <=> (v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80)))),
% 48.75/31.27 inference(rewrite,[status(thm)],[])).
% 48.75/31.27 tff(10714,plain,
% 48.75/31.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v94(constB80)) | (~v123(constB80, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80))))),
% 48.75/31.27 inference(monotonicity,[status(thm)],[10713])).
% 48.75/31.27 tff(10715,plain,
% 48.75/31.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v94(constB80)) | (~v123(constB80, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80)))),
% 48.75/31.27 inference(transitivity,[status(thm)],[10714, 10712])).
% 48.75/31.27 tff(10716,plain,
% 48.75/31.27 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v94(constB80)) | (~v123(constB80, bitIndex0)))),
% 48.75/31.27 inference(quant_inst,[status(thm)],[])).
% 48.75/31.27 tff(10717,plain,
% 48.75/31.27 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80))),
% 48.75/31.27 inference(modus_ponens,[status(thm)],[10716, 10715])).
% 48.75/31.27 tff(10718,plain,
% 48.75/31.27 (v84(constB80, bitIndex0) | (~v94(constB80))),
% 48.75/31.27 inference(unit_resolution,[status(thm)],[10717, 1421, 10711])).
% 48.75/31.27 tff(10719,plain,
% 48.75/31.27 (v84(constB80, bitIndex0)),
% 48.75/31.27 inference(unit_resolution,[status(thm)],[10718, 10582])).
% 48.75/31.27 tff(10720,plain,
% 48.75/31.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0))),
% 48.82/31.27 inference(rewrite,[status(thm)],[])).
% 48.82/31.27 tff(10721,plain,
% 48.82/31.27 (((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0)) <=> ((~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0))),
% 48.82/31.27 inference(rewrite,[status(thm)],[])).
% 48.82/31.27 tff(10722,plain,
% 48.82/31.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0)))),
% 48.82/31.27 inference(monotonicity,[status(thm)],[10721])).
% 48.82/31.27 tff(10723,plain,
% 48.82/31.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0))),
% 48.82/31.27 inference(transitivity,[status(thm)],[10722, 10720])).
% 48.82/31.27 tff(10724,plain,
% 48.82/31.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0))),
% 48.82/31.27 inference(quant_inst,[status(thm)],[])).
% 48.82/31.27 tff(10725,plain,
% 48.82/31.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0)),
% 48.82/31.27 inference(modus_ponens,[status(thm)],[10724, 10723])).
% 48.82/31.27 tff(10726,plain,
% 48.82/31.27 ((~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0)),
% 48.82/31.27 inference(unit_resolution,[status(thm)],[10725, 1439, 10610])).
% 48.82/31.27 tff(10727,plain,
% 48.82/31.27 ((~v84(constB80, bitIndex0)) | v84(constB81, bitIndex0)),
% 48.82/31.27 inference(unit_resolution,[status(thm)],[10726, 10622])).
% 48.82/31.27 tff(10728,plain,
% 48.82/31.27 (v84(constB81, bitIndex0)),
% 48.82/31.27 inference(unit_resolution,[status(thm)],[10727, 10719])).
% 48.82/31.27 tff(10729,plain,
% 48.82/31.27 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81))),
% 48.82/31.27 inference(rewrite,[status(thm)],[])).
% 48.82/31.27 tff(10730,plain,
% 48.82/31.27 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81))),
% 48.82/31.27 inference(quant_inst,[status(thm)],[])).
% 48.82/31.27 tff(10731,plain,
% 48.82/31.27 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81)),
% 48.82/31.27 inference(modus_ponens,[status(thm)],[10730, 10729])).
% 48.82/31.27 tff(10732,plain,
% 48.82/31.27 (v116(constB81)),
% 48.82/31.27 inference(unit_resolution,[status(thm)],[10731, 1825, 10728, 10662, 10631])).
% 48.83/31.27 tff(10733,plain,
% 48.83/31.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB81) | (~v116(constB81)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB81) | (~v116(constB81)))),
% 48.83/31.27 inference(rewrite,[status(thm)],[])).
% 48.83/31.27 tff(10734,plain,
% 48.83/31.27 (((~v116(constB81)) | v110(constB81)) <=> (v110(constB81) | (~v116(constB81)))),
% 48.83/31.27 inference(rewrite,[status(thm)],[])).
% 48.83/31.27 tff(10735,plain,
% 48.83/31.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB81)) | v110(constB81))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB81) | (~v116(constB81))))),
% 48.83/31.27 inference(monotonicity,[status(thm)],[10734])).
% 48.83/31.27 tff(10736,plain,
% 48.83/31.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB81)) | v110(constB81))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB81) | (~v116(constB81)))),
% 48.83/31.27 inference(transitivity,[status(thm)],[10735, 10733])).
% 48.83/31.27 tff(10737,plain,
% 48.83/31.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB81)) | v110(constB81))),
% 48.83/31.27 inference(quant_inst,[status(thm)],[])).
% 48.83/31.27 tff(10738,plain,
% 48.83/31.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB81) | (~v116(constB81))),
% 48.83/31.27 inference(modus_ponens,[status(thm)],[10737, 10736])).
% 48.83/31.27 tff(10739,plain,
% 48.83/31.27 (v110(constB81)),
% 48.83/31.27 inference(unit_resolution,[status(thm)],[10738, 1836, 10732])).
% 48.83/31.27 tff(10740,plain,
% 48.83/31.27 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB81) | (~v110(constB81)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB81) | (~v110(constB81)))),
% 48.83/31.27 inference(rewrite,[status(thm)],[])).
% 48.83/31.27 tff(10741,plain,
% 48.83/31.27 (((~v110(constB81)) | v109(constB81)) <=> (v109(constB81) | (~v110(constB81)))),
% 48.83/31.27 inference(rewrite,[status(thm)],[])).
% 48.83/31.27 tff(10742,plain,
% 48.83/31.27 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB81)) | v109(constB81))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB81) | (~v110(constB81))))),
% 48.83/31.27 inference(monotonicity,[status(thm)],[10741])).
% 48.83/31.27 tff(10743,plain,
% 48.83/31.27 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB81)) | v109(constB81))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB81) | (~v110(constB81)))),
% 48.83/31.27 inference(transitivity,[status(thm)],[10742, 10740])).
% 48.83/31.27 tff(10744,plain,
% 48.83/31.27 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB81)) | v109(constB81))),
% 48.83/31.27 inference(quant_inst,[status(thm)],[])).
% 48.83/31.27 tff(10745,plain,
% 48.83/31.27 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB81) | (~v110(constB81))),
% 48.83/31.27 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 48.83/31.27 tff(10746,plain,
% 48.83/31.27 (v109(constB81)),
% 48.83/31.27 inference(unit_resolution,[status(thm)],[10745, 306, 10739])).
% 48.83/31.27 tff(10747,plain,
% 48.83/31.27 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB81)) | v108(constB81))),
% 48.83/31.27 inference(rewrite,[status(thm)],[])).
% 48.83/31.27 tff(10748,plain,
% 48.83/31.27 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB81)) | v108(constB81))),
% 48.83/31.27 inference(quant_inst,[status(thm)],[])).
% 48.83/31.27 tff(10749,plain,
% 48.83/31.27 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB81)) | v108(constB81)),
% 48.83/31.27 inference(modus_ponens,[status(thm)],[10748, 10747])).
% 48.83/31.27 tff(10750,plain,
% 48.83/31.27 (v108(constB81)),
% 48.83/31.27 inference(unit_resolution,[status(thm)],[10749, 320, 10746])).
% 48.83/31.27 tff(10751,plain,
% 48.83/31.27 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB81) | (~v108(constB81)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB81) | (~v108(constB81)))),
% 48.83/31.27 inference(rewrite,[status(thm)],[])).
% 48.83/31.27 tff(10752,plain,
% 48.83/31.27 (((~v108(constB81)) | v107(constB81)) <=> (v107(constB81) | (~v108(constB81)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10753,plain,
% 48.83/31.28 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB81)) | v107(constB81))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB81) | (~v108(constB81))))),
% 48.83/31.28 inference(monotonicity,[status(thm)],[10752])).
% 48.83/31.28 tff(10754,plain,
% 48.83/31.28 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB81)) | v107(constB81))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB81) | (~v108(constB81)))),
% 48.83/31.28 inference(transitivity,[status(thm)],[10753, 10751])).
% 48.83/31.28 tff(10755,plain,
% 48.83/31.28 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB81)) | v107(constB81))),
% 48.83/31.28 inference(quant_inst,[status(thm)],[])).
% 48.83/31.28 tff(10756,plain,
% 48.83/31.28 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB81) | (~v108(constB81))),
% 48.83/31.28 inference(modus_ponens,[status(thm)],[10755, 10754])).
% 48.83/31.28 tff(10757,plain,
% 48.83/31.28 (v107(constB81)),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10756, 334, 10750])).
% 48.83/31.28 tff(10758,assumption,(~v102(constB81)), introduced(assumption)).
% 48.83/31.28 tff(10759,plain,
% 48.83/31.28 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB81) | (~v106(constB81)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB81) | (~v106(constB81)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10760,plain,
% 48.83/31.28 (((~v106(constB81)) | v102(constB81)) <=> (v102(constB81) | (~v106(constB81)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10761,plain,
% 48.83/31.28 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB81)) | v102(constB81))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB81) | (~v106(constB81))))),
% 48.83/31.28 inference(monotonicity,[status(thm)],[10760])).
% 48.83/31.28 tff(10762,plain,
% 48.83/31.28 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB81)) | v102(constB81))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB81) | (~v106(constB81)))),
% 48.83/31.28 inference(transitivity,[status(thm)],[10761, 10759])).
% 48.83/31.28 tff(10763,plain,
% 48.83/31.28 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB81)) | v102(constB81))),
% 48.83/31.28 inference(quant_inst,[status(thm)],[])).
% 48.83/31.28 tff(10764,plain,
% 48.83/31.28 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB81) | (~v106(constB81))),
% 48.83/31.28 inference(modus_ponens,[status(thm)],[10763, 10762])).
% 48.83/31.28 tff(10765,plain,
% 48.83/31.28 (~v106(constB81)),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10764, 504, 10758])).
% 48.83/31.28 tff(10766,plain,
% 48.83/31.28 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB81) | (~v26(constB81)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB81) | (~v26(constB81)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10767,plain,
% 48.83/31.28 (((~v26(constB81)) | v102(constB81)) <=> (v102(constB81) | (~v26(constB81)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10768,plain,
% 48.83/31.28 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB81)) | v102(constB81))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB81) | (~v26(constB81))))),
% 48.83/31.28 inference(monotonicity,[status(thm)],[10767])).
% 48.83/31.28 tff(10769,plain,
% 48.83/31.28 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB81)) | v102(constB81))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB81) | (~v26(constB81)))),
% 48.83/31.28 inference(transitivity,[status(thm)],[10768, 10766])).
% 48.83/31.28 tff(10770,plain,
% 48.83/31.28 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB81)) | v102(constB81))),
% 48.83/31.28 inference(quant_inst,[status(thm)],[])).
% 48.83/31.28 tff(10771,plain,
% 48.83/31.28 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB81) | (~v26(constB81))),
% 48.83/31.28 inference(modus_ponens,[status(thm)],[10770, 10769])).
% 48.83/31.28 tff(10772,plain,
% 48.83/31.28 (~v26(constB81)),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10771, 723, 10758])).
% 48.83/31.28 tff(10773,assumption,(v107(constB81)), introduced(assumption)).
% 48.83/31.28 tff(10774,plain,
% 48.83/31.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | v106(constB81) | (~v107(constB81)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10775,plain,
% 48.83/31.28 ((v26(constB81) | (~v107(constB81)) | v106(constB81)) <=> (v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10776,plain,
% 48.83/31.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | v106(constB81) | (~v107(constB81))))),
% 48.83/31.28 inference(monotonicity,[status(thm)],[10775])).
% 48.83/31.28 tff(10777,plain,
% 48.83/31.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 48.83/31.28 inference(transitivity,[status(thm)],[10776, 10774])).
% 48.83/31.28 tff(10778,plain,
% 48.83/31.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))),
% 48.83/31.28 inference(quant_inst,[status(thm)],[])).
% 48.83/31.28 tff(10779,plain,
% 48.83/31.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81))),
% 48.83/31.28 inference(modus_ponens,[status(thm)],[10778, 10777])).
% 48.83/31.28 tff(10780,plain,
% 48.83/31.28 (v26(constB81) | v106(constB81)),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10779, 348, 10773])).
% 48.83/31.28 tff(10781,plain,
% 48.83/31.28 ($false),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10780, 10772, 10765])).
% 48.83/31.28 tff(10782,plain,(v102(constB81) | (~v107(constB81))), inference(lemma,lemma(discharge,[]))).
% 48.83/31.28 tff(10783,plain,
% 48.83/31.28 (v102(constB81)),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10782, 10757])).
% 48.83/31.28 tff(10784,plain,
% 48.83/31.28 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10785,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 48.83/31.28 tff(10786,plain,
% 48.83/31.28 (nextState(constB81, constB82)),
% 48.83/31.28 inference(modus_ponens,[status(thm)],[10785, 10784])).
% 48.83/31.28 tff(10787,plain,
% 48.83/31.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10788,plain,
% 48.83/31.28 (((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82)) <=> ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10789,plain,
% 48.83/31.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81))))),
% 48.83/31.28 inference(monotonicity,[status(thm)],[10788])).
% 48.83/31.28 tff(10790,plain,
% 48.83/31.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 48.83/31.28 inference(transitivity,[status(thm)],[10789, 10787])).
% 48.83/31.28 tff(10791,plain,
% 48.83/31.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))),
% 48.83/31.28 inference(quant_inst,[status(thm)],[])).
% 48.83/31.28 tff(10792,plain,
% 48.83/31.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81))),
% 48.83/31.28 inference(modus_ponens,[status(thm)],[10791, 10790])).
% 48.83/31.28 tff(10793,plain,
% 48.83/31.28 (v104(constB82) | (~v102(constB81))),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10792, 489, 10786])).
% 48.83/31.28 tff(10794,plain,
% 48.83/31.28 (v104(constB82)),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10793, 10783])).
% 48.83/31.28 tff(10795,plain,
% 48.83/31.28 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10796,plain,
% 48.83/31.28 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))),
% 48.83/31.28 inference(quant_inst,[status(thm)],[])).
% 48.83/31.28 tff(10797,plain,
% 48.83/31.28 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82))),
% 48.83/31.28 inference(modus_ponens,[status(thm)],[10796, 10795])).
% 48.83/31.28 tff(10798,plain,
% 48.83/31.28 (~v98(constB82)),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10797, 423, 10786, 10607])).
% 48.83/31.28 tff(10799,plain,
% 48.83/31.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10800,plain,
% 48.83/31.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))),
% 48.83/31.28 inference(quant_inst,[status(thm)],[])).
% 48.83/31.28 tff(10801,plain,
% 48.83/31.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB81, constB82)) | v96(constB82) | v98(constB82)),
% 48.83/31.28 inference(modus_ponens,[status(thm)],[10800, 10799])).
% 48.83/31.28 tff(10802,plain,
% 48.83/31.28 (v96(constB82) | v98(constB82)),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10801, 437, 10786])).
% 48.83/31.28 tff(10803,plain,
% 48.83/31.28 (v96(constB82)),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10802, 10798])).
% 48.83/31.28 tff(10804,plain,
% 48.83/31.28 (v1(constB82) <=> v1(constB82)),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10805,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 48.83/31.28 tff(10806,plain,
% 48.83/31.28 (v1(constB82)),
% 48.83/31.28 inference(modus_ponens,[status(thm)],[10805, 10804])).
% 48.83/31.28 tff(10807,plain,
% 48.83/31.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10808,plain,
% 48.83/31.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))),
% 48.83/31.28 inference(quant_inst,[status(thm)],[])).
% 48.83/31.28 tff(10809,plain,
% 48.83/31.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82))),
% 48.83/31.28 inference(modus_ponens,[status(thm)],[10808, 10807])).
% 48.83/31.28 tff(10810,plain,
% 48.83/31.28 (v95(constB82) | (~v96(constB82))),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10809, 455, 10786, 10806])).
% 48.83/31.28 tff(10811,plain,
% 48.83/31.28 (v95(constB82)),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10810, 10803])).
% 48.83/31.28 tff(10812,plain,
% 48.83/31.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10813,plain,
% 48.83/31.28 (((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82)) <=> ((~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10814,plain,
% 48.83/31.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82))))),
% 48.83/31.28 inference(monotonicity,[status(thm)],[10813])).
% 48.83/31.28 tff(10815,plain,
% 48.83/31.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))),
% 48.83/31.28 inference(transitivity,[status(thm)],[10814, 10812])).
% 48.83/31.28 tff(10816,plain,
% 48.83/31.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))),
% 48.83/31.28 inference(quant_inst,[status(thm)],[])).
% 48.83/31.28 tff(10817,plain,
% 48.83/31.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82))),
% 48.83/31.28 inference(modus_ponens,[status(thm)],[10816, 10815])).
% 48.83/31.28 tff(10818,plain,
% 48.83/31.28 (v94(constB82) | (~v95(constB82)) | (~v104(constB82))),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10817, 470, 10786])).
% 48.83/31.28 tff(10819,plain,
% 48.83/31.28 (v94(constB82) | (~v104(constB82))),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10818, 10811])).
% 48.83/31.28 tff(10820,plain,
% 48.83/31.28 (v94(constB82)),
% 48.83/31.28 inference(unit_resolution,[status(thm)],[10819, 10794])).
% 48.83/31.28 tff(10821,plain,
% 48.83/31.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB81)) | v124(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB81)) | v124(constB81, bitIndex2))),
% 48.83/31.28 inference(rewrite,[status(thm)],[])).
% 48.83/31.28 tff(10822,plain,
% 48.83/31.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB81)) | v124(constB81, bitIndex2))),
% 48.83/31.28 inference(quant_inst,[status(thm)],[])).
% 48.83/31.28 tff(10823,plain,
% 48.83/31.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB81)) | v124(constB81, bitIndex2)),
% 48.83/31.28 inference(modus_ponens,[status(thm)],[10822, 10821])).
% 48.83/31.28 tff(10824,plain,
% 48.83/31.28 (v124(constB81, bitIndex2)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10823, 1923, 10732])).
% 48.83/31.29 tff(10825,assumption,(v26(constB81)), introduced(assumption)).
% 48.83/31.29 tff(10826,plain,
% 48.83/31.29 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB81))),
% 48.83/31.29 inference(quant_inst,[status(thm)],[])).
% 48.83/31.29 tff(10827,plain,
% 48.83/31.29 ($false),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10826, 55, 10825])).
% 48.83/31.29 tff(10828,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 48.83/31.29 tff(10829,plain,
% 48.83/31.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10830,plain,
% 48.83/31.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2))),
% 48.83/31.29 inference(quant_inst,[status(thm)],[])).
% 48.83/31.29 tff(10831,plain,
% 48.83/31.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2)),
% 48.83/31.29 inference(modus_ponens,[status(thm)],[10830, 10829])).
% 48.83/31.29 tff(10832,plain,
% 48.83/31.29 ((~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10831, 374, 10828])).
% 48.83/31.29 tff(10833,plain,
% 48.83/31.29 (v121(constB81, bitIndex2)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10832, 10824])).
% 48.83/31.29 tff(10834,plain,
% 48.83/31.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10835,plain,
% 48.83/31.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2))),
% 48.83/31.29 inference(quant_inst,[status(thm)],[])).
% 48.83/31.29 tff(10836,plain,
% 48.83/31.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2)),
% 48.83/31.29 inference(modus_ponens,[status(thm)],[10835, 10834])).
% 48.83/31.29 tff(10837,plain,
% 48.83/31.29 ((~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10836, 389, 10786])).
% 48.83/31.29 tff(10838,plain,
% 48.83/31.29 (v123(constB82, bitIndex2)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10837, 10833])).
% 48.83/31.29 tff(10839,plain,
% 48.83/31.29 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10840,plain,
% 48.83/31.29 ((v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2))) <=> (v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10841,plain,
% 48.83/31.29 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82))))),
% 48.83/31.29 inference(monotonicity,[status(thm)],[10840])).
% 48.83/31.29 tff(10842,plain,
% 48.83/31.29 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))),
% 48.83/31.29 inference(transitivity,[status(thm)],[10841, 10839])).
% 48.83/31.29 tff(10843,plain,
% 48.83/31.29 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2)))),
% 48.83/31.29 inference(quant_inst,[status(thm)],[])).
% 48.83/31.29 tff(10844,plain,
% 48.83/31.29 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82))),
% 48.83/31.29 inference(modus_ponens,[status(thm)],[10843, 10842])).
% 48.83/31.29 tff(10845,plain,
% 48.83/31.29 (v84(constB82, bitIndex2) | (~v94(constB82))),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10844, 405, 10838])).
% 48.83/31.29 tff(10846,plain,
% 48.83/31.29 (v84(constB82, bitIndex2)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10845, 10820])).
% 48.83/31.29 tff(10847,plain,
% 48.83/31.29 ((~v1(constB83)) <=> (~v1(constB83))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10848,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 48.83/31.29 tff(10849,plain,
% 48.83/31.29 (~v1(constB83)),
% 48.83/31.29 inference(modus_ponens,[status(thm)],[10848, 10847])).
% 48.83/31.29 tff(10850,plain,
% 48.83/31.29 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10851,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 48.83/31.29 tff(10852,plain,
% 48.83/31.29 (nextState(constB82, constB83)),
% 48.83/31.29 inference(modus_ponens,[status(thm)],[10851, 10850])).
% 48.83/31.29 tff(10853,plain,
% 48.83/31.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10854,plain,
% 48.83/31.29 (((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10855,plain,
% 48.83/31.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83))))),
% 48.83/31.29 inference(monotonicity,[status(thm)],[10854])).
% 48.83/31.29 tff(10856,plain,
% 48.83/31.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 48.83/31.29 inference(transitivity,[status(thm)],[10855, 10853])).
% 48.83/31.29 tff(10857,plain,
% 48.83/31.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))),
% 48.83/31.29 inference(quant_inst,[status(thm)],[])).
% 48.83/31.29 tff(10858,plain,
% 48.83/31.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83))),
% 48.83/31.29 inference(modus_ponens,[status(thm)],[10857, 10856])).
% 48.83/31.29 tff(10859,plain,
% 48.83/31.29 (~v95(constB83)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10858, 110, 10852, 10849])).
% 48.83/31.29 tff(10860,plain,
% 48.83/31.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10861,plain,
% 48.83/31.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))),
% 48.83/31.29 inference(quant_inst,[status(thm)],[])).
% 48.83/31.29 tff(10862,plain,
% 48.83/31.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83))),
% 48.83/31.29 inference(modus_ponens,[status(thm)],[10861, 10860])).
% 48.83/31.29 tff(10863,plain,
% 48.83/31.29 (v95(constB83) | (~v94(constB83))),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10862, 127, 10852])).
% 48.83/31.29 tff(10864,plain,
% 48.83/31.29 (~v94(constB83)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10863, 10859])).
% 48.83/31.29 tff(10865,plain,
% 48.83/31.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10866,plain,
% 48.83/31.29 (((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2)) <=> ((~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10867,plain,
% 48.83/31.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2)))),
% 48.83/31.29 inference(monotonicity,[status(thm)],[10866])).
% 48.83/31.29 tff(10868,plain,
% 48.83/31.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))),
% 48.83/31.29 inference(transitivity,[status(thm)],[10867, 10865])).
% 48.83/31.29 tff(10869,plain,
% 48.83/31.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2))),
% 48.83/31.29 inference(quant_inst,[status(thm)],[])).
% 48.83/31.29 tff(10870,plain,
% 48.83/31.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2)),
% 48.83/31.29 inference(modus_ponens,[status(thm)],[10869, 10868])).
% 48.83/31.29 tff(10871,plain,
% 48.83/31.29 ((~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10870, 576, 10852])).
% 48.83/31.29 tff(10872,plain,
% 48.83/31.29 ((~v84(constB82, bitIndex2)) | v84(constB83, bitIndex2)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10871, 10864])).
% 48.83/31.29 tff(10873,plain,
% 48.83/31.29 (v84(constB83, bitIndex2)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10872, 10846])).
% 48.83/31.29 tff(10874,plain,
% 48.83/31.29 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB81)) | (~v124(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB81)) | (~v124(constB81, bitIndex1)))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10875,plain,
% 48.83/31.29 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB81)) | (~v124(constB81, bitIndex1)))),
% 48.83/31.29 inference(quant_inst,[status(thm)],[])).
% 48.83/31.29 tff(10876,plain,
% 48.83/31.29 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB81)) | (~v124(constB81, bitIndex1))),
% 48.83/31.29 inference(modus_ponens,[status(thm)],[10875, 10874])).
% 48.83/31.29 tff(10877,plain,
% 48.83/31.29 (~v124(constB81, bitIndex1)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10876, 1979, 10732])).
% 48.83/31.29 tff(10878,plain,
% 48.83/31.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10879,plain,
% 48.83/31.29 ((v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1))) <=> ((~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10880,plain,
% 48.83/31.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1)))),
% 48.83/31.29 inference(monotonicity,[status(thm)],[10879])).
% 48.83/31.29 tff(10881,plain,
% 48.83/31.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))),
% 48.83/31.29 inference(transitivity,[status(thm)],[10880, 10878])).
% 48.83/31.29 tff(10882,plain,
% 48.83/31.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))),
% 48.83/31.29 inference(quant_inst,[status(thm)],[])).
% 48.83/31.29 tff(10883,plain,
% 48.83/31.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1)),
% 48.83/31.29 inference(modus_ponens,[status(thm)],[10882, 10881])).
% 48.83/31.29 tff(10884,plain,
% 48.83/31.29 ((~v121(constB81, bitIndex1)) | v124(constB81, bitIndex1)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10883, 233, 10828])).
% 48.83/31.29 tff(10885,plain,
% 48.83/31.29 (~v121(constB81, bitIndex1)),
% 48.83/31.29 inference(unit_resolution,[status(thm)],[10884, 10877])).
% 48.83/31.29 tff(10886,plain,
% 48.83/31.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1)))),
% 48.83/31.29 inference(rewrite,[status(thm)],[])).
% 48.83/31.29 tff(10887,plain,
% 48.83/31.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1)))),
% 48.83/31.30 inference(quant_inst,[status(thm)],[])).
% 48.83/31.30 tff(10888,plain,
% 48.83/31.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1))),
% 48.83/31.30 inference(modus_ponens,[status(thm)],[10887, 10886])).
% 48.83/31.30 tff(10889,plain,
% 48.83/31.30 (v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1))),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10888, 254, 10786])).
% 48.83/31.30 tff(10890,plain,
% 48.83/31.30 (~v123(constB82, bitIndex1)),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10889, 10885])).
% 48.83/31.30 tff(10891,plain,
% 48.83/31.30 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))),
% 48.83/31.30 inference(rewrite,[status(thm)],[])).
% 48.83/31.30 tff(10892,plain,
% 48.83/31.30 (((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1)) <=> ((~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))),
% 48.83/31.30 inference(rewrite,[status(thm)],[])).
% 48.83/31.30 tff(10893,plain,
% 48.83/31.30 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82))))),
% 48.83/31.30 inference(monotonicity,[status(thm)],[10892])).
% 48.83/31.30 tff(10894,plain,
% 48.83/31.30 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))),
% 48.83/31.30 inference(transitivity,[status(thm)],[10893, 10891])).
% 48.83/31.30 tff(10895,plain,
% 48.83/31.30 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1))),
% 48.83/31.30 inference(quant_inst,[status(thm)],[])).
% 48.83/31.30 tff(10896,plain,
% 48.83/31.30 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82))),
% 48.83/31.30 inference(modus_ponens,[status(thm)],[10895, 10894])).
% 48.83/31.30 tff(10897,plain,
% 48.83/31.30 ((~v84(constB82, bitIndex1)) | (~v94(constB82))),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10896, 532, 10890])).
% 48.83/31.30 tff(10898,plain,
% 48.83/31.30 (~v84(constB82, bitIndex1)),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10897, 10820])).
% 48.83/31.30 tff(10899,plain,
% 48.83/31.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 48.83/31.30 inference(rewrite,[status(thm)],[])).
% 48.83/31.30 tff(10900,plain,
% 48.83/31.30 (((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1))) <=> (v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 48.83/31.30 inference(rewrite,[status(thm)],[])).
% 48.83/31.30 tff(10901,plain,
% 48.83/31.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1))))),
% 48.83/31.30 inference(monotonicity,[status(thm)],[10900])).
% 48.83/31.30 tff(10902,plain,
% 48.83/31.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 48.83/31.30 inference(transitivity,[status(thm)],[10901, 10899])).
% 48.83/31.30 tff(10903,plain,
% 48.83/31.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 48.83/31.30 inference(quant_inst,[status(thm)],[])).
% 48.83/31.30 tff(10904,plain,
% 48.83/31.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1))),
% 48.83/31.30 inference(modus_ponens,[status(thm)],[10903, 10902])).
% 48.83/31.30 tff(10905,plain,
% 48.83/31.30 (v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1))),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10904, 163, 10852])).
% 48.83/31.30 tff(10906,plain,
% 48.83/31.30 (v84(constB82, bitIndex1) | (~v84(constB83, bitIndex1))),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10905, 10864])).
% 48.83/31.30 tff(10907,plain,
% 48.83/31.30 (~v84(constB83, bitIndex1)),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10906, 10898])).
% 48.83/31.30 tff(10908,plain,
% 48.83/31.30 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB81)) | (~v124(constB81, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB81)) | (~v124(constB81, bitIndex0)))),
% 48.83/31.30 inference(rewrite,[status(thm)],[])).
% 48.83/31.30 tff(10909,plain,
% 48.83/31.30 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB81)) | (~v124(constB81, bitIndex0)))),
% 48.83/31.30 inference(quant_inst,[status(thm)],[])).
% 48.83/31.30 tff(10910,plain,
% 48.83/31.30 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB81)) | (~v124(constB81, bitIndex0))),
% 48.83/31.30 inference(modus_ponens,[status(thm)],[10909, 10908])).
% 48.83/31.30 tff(10911,plain,
% 48.83/31.30 (~v124(constB81, bitIndex0)),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10910, 2020, 10732])).
% 48.83/31.30 tff(10912,plain,
% 48.83/31.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB81, bitIndex0)) | v26(constB81) | v124(constB81, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB81, bitIndex0)) | v26(constB81) | v124(constB81, bitIndex0))),
% 48.83/31.30 inference(rewrite,[status(thm)],[])).
% 48.83/31.30 tff(10913,plain,
% 48.83/31.30 ((v26(constB81) | v124(constB81, bitIndex0) | (~v121(constB81, bitIndex0))) <=> ((~v121(constB81, bitIndex0)) | v26(constB81) | v124(constB81, bitIndex0))),
% 48.83/31.30 inference(rewrite,[status(thm)],[])).
% 48.83/31.30 tff(10914,plain,
% 48.83/31.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB81) | v124(constB81, bitIndex0) | (~v121(constB81, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB81, bitIndex0)) | v26(constB81) | v124(constB81, bitIndex0)))),
% 48.83/31.30 inference(monotonicity,[status(thm)],[10913])).
% 48.83/31.30 tff(10915,plain,
% 48.83/31.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB81) | v124(constB81, bitIndex0) | (~v121(constB81, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB81, bitIndex0)) | v26(constB81) | v124(constB81, bitIndex0))),
% 48.83/31.30 inference(transitivity,[status(thm)],[10914, 10912])).
% 48.83/31.30 tff(10916,plain,
% 48.83/31.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB81) | v124(constB81, bitIndex0) | (~v121(constB81, bitIndex0)))),
% 48.83/31.30 inference(quant_inst,[status(thm)],[])).
% 48.83/31.30 tff(10917,plain,
% 48.83/31.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB81, bitIndex0)) | v26(constB81) | v124(constB81, bitIndex0)),
% 48.83/31.30 inference(modus_ponens,[status(thm)],[10916, 10915])).
% 48.83/31.30 tff(10918,plain,
% 48.83/31.30 ((~v121(constB81, bitIndex0)) | v124(constB81, bitIndex0)),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10917, 607, 10828])).
% 48.83/31.30 tff(10919,plain,
% 48.83/31.30 (~v121(constB81, bitIndex0)),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10918, 10911])).
% 48.83/31.30 tff(10920,plain,
% 48.83/31.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex0) | (~v123(constB82, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex0) | (~v123(constB82, bitIndex0)))),
% 48.83/31.30 inference(rewrite,[status(thm)],[])).
% 48.83/31.30 tff(10921,plain,
% 48.83/31.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex0) | (~v123(constB82, bitIndex0)))),
% 48.83/31.30 inference(quant_inst,[status(thm)],[])).
% 48.83/31.30 tff(10922,plain,
% 48.83/31.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex0) | (~v123(constB82, bitIndex0))),
% 48.83/31.30 inference(modus_ponens,[status(thm)],[10921, 10920])).
% 48.83/31.30 tff(10923,plain,
% 48.83/31.30 (v121(constB81, bitIndex0) | (~v123(constB82, bitIndex0))),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10922, 637, 10786])).
% 48.83/31.30 tff(10924,plain,
% 48.83/31.30 (~v123(constB82, bitIndex0)),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10923, 10919])).
% 48.83/31.30 tff(10925,plain,
% 48.83/31.30 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0) | (~v94(constB82)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0) | (~v94(constB82)))),
% 48.83/31.30 inference(rewrite,[status(thm)],[])).
% 48.83/31.30 tff(10926,plain,
% 48.83/31.30 (((~v84(constB82, bitIndex0)) | (~v94(constB82)) | v123(constB82, bitIndex0)) <=> ((~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0) | (~v94(constB82)))),
% 48.83/31.30 inference(rewrite,[status(thm)],[])).
% 48.83/31.30 tff(10927,plain,
% 48.83/31.30 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | (~v94(constB82)) | v123(constB82, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0) | (~v94(constB82))))),
% 48.83/31.30 inference(monotonicity,[status(thm)],[10926])).
% 48.83/31.30 tff(10928,plain,
% 48.83/31.30 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | (~v94(constB82)) | v123(constB82, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0) | (~v94(constB82)))),
% 48.83/31.30 inference(transitivity,[status(thm)],[10927, 10925])).
% 48.83/31.30 tff(10929,plain,
% 48.83/31.30 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | (~v94(constB82)) | v123(constB82, bitIndex0))),
% 48.83/31.30 inference(quant_inst,[status(thm)],[])).
% 48.83/31.30 tff(10930,plain,
% 48.83/31.30 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0) | (~v94(constB82))),
% 48.83/31.30 inference(modus_ponens,[status(thm)],[10929, 10928])).
% 48.83/31.30 tff(10931,plain,
% 48.83/31.30 ((~v84(constB82, bitIndex0)) | (~v94(constB82))),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10930, 652, 10924])).
% 48.83/31.30 tff(10932,plain,
% 48.83/31.30 (~v84(constB82, bitIndex0)),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10931, 10820])).
% 48.83/31.30 tff(10933,plain,
% 48.83/31.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex0)))),
% 48.83/31.30 inference(rewrite,[status(thm)],[])).
% 48.83/31.30 tff(10934,plain,
% 48.83/31.30 (((~nextState(constB82, constB83)) | v84(constB82, bitIndex0) | v94(constB83) | (~v84(constB83, bitIndex0))) <=> (v84(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex0)))),
% 48.83/31.30 inference(rewrite,[status(thm)],[])).
% 48.83/31.30 tff(10935,plain,
% 48.83/31.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex0) | v94(constB83) | (~v84(constB83, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex0))))),
% 48.83/31.30 inference(monotonicity,[status(thm)],[10934])).
% 48.83/31.30 tff(10936,plain,
% 48.83/31.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex0) | v94(constB83) | (~v84(constB83, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex0)))),
% 48.83/31.30 inference(transitivity,[status(thm)],[10935, 10933])).
% 48.83/31.30 tff(10937,plain,
% 48.83/31.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex0) | v94(constB83) | (~v84(constB83, bitIndex0)))),
% 48.83/31.30 inference(quant_inst,[status(thm)],[])).
% 48.83/31.30 tff(10938,plain,
% 48.83/31.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex0))),
% 48.83/31.30 inference(modus_ponens,[status(thm)],[10937, 10936])).
% 48.83/31.30 tff(10939,plain,
% 48.83/31.30 (v84(constB82, bitIndex0) | v94(constB83) | (~v84(constB83, bitIndex0))),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10938, 184, 10852])).
% 48.83/31.30 tff(10940,plain,
% 48.83/31.30 (v84(constB82, bitIndex0) | (~v84(constB83, bitIndex0))),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10939, 10864])).
% 48.83/31.30 tff(10941,plain,
% 48.83/31.30 (~v84(constB83, bitIndex0)),
% 48.83/31.30 inference(unit_resolution,[status(thm)],[10940, 10932])).
% 48.83/31.31 tff(10942,plain,
% 48.83/31.31 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v172(constB83))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v172(constB83))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10943,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v172(constB83))),
% 48.83/31.31 inference(quant_inst,[status(thm)],[])).
% 48.83/31.31 tff(10944,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v172(constB83)),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[10943, 10942])).
% 48.83/31.31 tff(10945,plain,
% 48.83/31.31 (v172(constB83)),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10944, 679, 10941, 10907, 10873])).
% 48.83/31.31 tff(10946,plain,
% 48.83/31.31 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB83) | (~v172(constB83)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB83) | (~v172(constB83)))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10947,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB83) | (~v172(constB83)))),
% 48.83/31.31 inference(quant_inst,[status(thm)],[])).
% 48.83/31.31 tff(10948,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB83) | (~v172(constB83))),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[10947, 10946])).
% 48.83/31.31 tff(10949,plain,
% 48.83/31.31 (v109(constB83)),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10948, 740, 10945])).
% 48.83/31.31 tff(10950,plain,
% 48.83/31.31 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB83)) | v108(constB83))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10951,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB83)) | v108(constB83))),
% 48.83/31.31 inference(quant_inst,[status(thm)],[])).
% 48.83/31.31 tff(10952,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB83)) | v108(constB83)),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[10951, 10950])).
% 48.83/31.31 tff(10953,plain,
% 48.83/31.31 (v108(constB83)),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10952, 320, 10949])).
% 48.83/31.31 tff(10954,plain,
% 48.83/31.31 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB83) | (~v108(constB83)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB83) | (~v108(constB83)))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10955,plain,
% 48.83/31.31 (((~v108(constB83)) | v107(constB83)) <=> (v107(constB83) | (~v108(constB83)))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10956,plain,
% 48.83/31.31 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB83)) | v107(constB83))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB83) | (~v108(constB83))))),
% 48.83/31.31 inference(monotonicity,[status(thm)],[10955])).
% 48.83/31.31 tff(10957,plain,
% 48.83/31.31 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB83)) | v107(constB83))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB83) | (~v108(constB83)))),
% 48.83/31.31 inference(transitivity,[status(thm)],[10956, 10954])).
% 48.83/31.31 tff(10958,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB83)) | v107(constB83))),
% 48.83/31.31 inference(quant_inst,[status(thm)],[])).
% 48.83/31.31 tff(10959,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB83) | (~v108(constB83))),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[10958, 10957])).
% 48.83/31.31 tff(10960,plain,
% 48.83/31.31 (v107(constB83)),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10959, 334, 10953])).
% 48.83/31.31 tff(10961,assumption,(v26(constB83)), introduced(assumption)).
% 48.83/31.31 tff(10962,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB83))),
% 48.83/31.31 inference(quant_inst,[status(thm)],[])).
% 48.83/31.31 tff(10963,plain,
% 48.83/31.31 ($false),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10962, 55, 10961])).
% 48.83/31.31 tff(10964,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 48.83/31.31 tff(10965,plain,
% 48.83/31.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | (~v107(constB83)) | v106(constB83))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB83) | (~v107(constB83)) | v106(constB83))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10966,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | (~v107(constB83)) | v106(constB83))),
% 48.83/31.31 inference(quant_inst,[status(thm)],[])).
% 48.83/31.31 tff(10967,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB83) | (~v107(constB83)) | v106(constB83)),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[10966, 10965])).
% 48.83/31.31 tff(10968,plain,
% 48.83/31.31 ((~v107(constB83)) | v106(constB83)),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10967, 348, 10964])).
% 48.83/31.31 tff(10969,plain,
% 48.83/31.31 (v106(constB83)),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10968, 10960])).
% 48.83/31.31 tff(10970,plain,
% 48.83/31.31 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB83) | (~v106(constB83)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB83) | (~v106(constB83)))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10971,plain,
% 48.83/31.31 (((~v106(constB83)) | v102(constB83)) <=> (v102(constB83) | (~v106(constB83)))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10972,plain,
% 48.83/31.31 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB83)) | v102(constB83))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB83) | (~v106(constB83))))),
% 48.83/31.31 inference(monotonicity,[status(thm)],[10971])).
% 48.83/31.31 tff(10973,plain,
% 48.83/31.31 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB83)) | v102(constB83))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB83) | (~v106(constB83)))),
% 48.83/31.31 inference(transitivity,[status(thm)],[10972, 10970])).
% 48.83/31.31 tff(10974,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB83)) | v102(constB83))),
% 48.83/31.31 inference(quant_inst,[status(thm)],[])).
% 48.83/31.31 tff(10975,plain,
% 48.83/31.31 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB83) | (~v106(constB83))),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[10974, 10973])).
% 48.83/31.31 tff(10976,plain,
% 48.83/31.31 (v102(constB83)),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10975, 504, 10969])).
% 48.83/31.31 tff(10977,plain,
% 48.83/31.31 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10978,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 48.83/31.31 tff(10979,plain,
% 48.83/31.31 (nextState(constB83, constB84)),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[10978, 10977])).
% 48.83/31.31 tff(10980,plain,
% 48.83/31.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10981,plain,
% 48.83/31.31 (((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84)) <=> ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10982,plain,
% 48.83/31.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83))))),
% 48.83/31.31 inference(monotonicity,[status(thm)],[10981])).
% 48.83/31.31 tff(10983,plain,
% 48.83/31.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 48.83/31.31 inference(transitivity,[status(thm)],[10982, 10980])).
% 48.83/31.31 tff(10984,plain,
% 48.83/31.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))),
% 48.83/31.31 inference(quant_inst,[status(thm)],[])).
% 48.83/31.31 tff(10985,plain,
% 48.83/31.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83))),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[10984, 10983])).
% 48.83/31.31 tff(10986,plain,
% 48.83/31.31 (v104(constB84) | (~v102(constB83))),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10985, 489, 10979])).
% 48.83/31.31 tff(10987,plain,
% 48.83/31.31 (v104(constB84)),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10986, 10976])).
% 48.83/31.31 tff(10988,plain,
% 48.83/31.31 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10989,plain,
% 48.83/31.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))),
% 48.83/31.31 inference(quant_inst,[status(thm)],[])).
% 48.83/31.31 tff(10990,plain,
% 48.83/31.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84))),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[10989, 10988])).
% 48.83/31.31 tff(10991,plain,
% 48.83/31.31 (~v98(constB84)),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10990, 423, 10979, 10849])).
% 48.83/31.31 tff(10992,plain,
% 48.83/31.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10993,plain,
% 48.83/31.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))),
% 48.83/31.31 inference(quant_inst,[status(thm)],[])).
% 48.83/31.31 tff(10994,plain,
% 48.83/31.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB83, constB84)) | v96(constB84) | v98(constB84)),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[10993, 10992])).
% 48.83/31.31 tff(10995,plain,
% 48.83/31.31 (v96(constB84) | v98(constB84)),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10994, 437, 10979])).
% 48.83/31.31 tff(10996,plain,
% 48.83/31.31 (v96(constB84)),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[10995, 10991])).
% 48.83/31.31 tff(10997,plain,
% 48.83/31.31 (v1(constB84) <=> v1(constB84)),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(10998,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 48.83/31.31 tff(10999,plain,
% 48.83/31.31 (v1(constB84)),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[10998, 10997])).
% 48.83/31.31 tff(11000,plain,
% 48.83/31.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(11001,plain,
% 48.83/31.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))),
% 48.83/31.31 inference(quant_inst,[status(thm)],[])).
% 48.83/31.31 tff(11002,plain,
% 48.83/31.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84))),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[11001, 11000])).
% 48.83/31.31 tff(11003,plain,
% 48.83/31.31 (v95(constB84) | (~v96(constB84))),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[11002, 455, 10979, 10999])).
% 48.83/31.31 tff(11004,plain,
% 48.83/31.31 (v95(constB84)),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[11003, 10996])).
% 48.83/31.31 tff(11005,plain,
% 48.83/31.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(11006,plain,
% 48.83/31.31 (((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84)) <=> ((~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))),
% 48.83/31.31 inference(rewrite,[status(thm)],[])).
% 48.83/31.31 tff(11007,plain,
% 48.83/31.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84))))),
% 48.83/31.31 inference(monotonicity,[status(thm)],[11006])).
% 48.83/31.31 tff(11008,plain,
% 48.83/31.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))),
% 48.83/31.31 inference(transitivity,[status(thm)],[11007, 11005])).
% 48.83/31.31 tff(11009,plain,
% 48.83/31.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))),
% 48.83/31.31 inference(quant_inst,[status(thm)],[])).
% 48.83/31.31 tff(11010,plain,
% 48.83/31.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84))),
% 48.83/31.31 inference(modus_ponens,[status(thm)],[11009, 11008])).
% 48.83/31.31 tff(11011,plain,
% 48.83/31.31 (v94(constB84) | (~v95(constB84)) | (~v104(constB84))),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[11010, 470, 10979])).
% 48.83/31.31 tff(11012,plain,
% 48.83/31.31 (v94(constB84) | (~v104(constB84))),
% 48.83/31.31 inference(unit_resolution,[status(thm)],[11011, 11004])).
% 48.83/31.31 tff(11013,plain,
% 48.87/31.32 (v94(constB84)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11012, 10987])).
% 48.87/31.32 tff(11014,plain,
% 48.87/31.32 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB83)) | v124(constB83, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB83)) | v124(constB83, bitIndex2))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11015,plain,
% 48.87/31.32 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB83)) | v124(constB83, bitIndex2))),
% 48.87/31.32 inference(quant_inst,[status(thm)],[])).
% 48.87/31.32 tff(11016,plain,
% 48.87/31.32 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB83)) | v124(constB83, bitIndex2)),
% 48.87/31.32 inference(modus_ponens,[status(thm)],[11015, 11014])).
% 48.87/31.32 tff(11017,plain,
% 48.87/31.32 (v124(constB83, bitIndex2)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11016, 691, 10945])).
% 48.87/31.32 tff(11018,plain,
% 48.87/31.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11019,plain,
% 48.87/31.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2))),
% 48.87/31.32 inference(quant_inst,[status(thm)],[])).
% 48.87/31.32 tff(11020,plain,
% 48.87/31.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2)),
% 48.87/31.32 inference(modus_ponens,[status(thm)],[11019, 11018])).
% 48.87/31.32 tff(11021,plain,
% 48.87/31.32 ((~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11020, 374, 10964])).
% 48.87/31.32 tff(11022,plain,
% 48.87/31.32 (v121(constB83, bitIndex2)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11021, 11017])).
% 48.87/31.32 tff(11023,plain,
% 48.87/31.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11024,plain,
% 48.87/31.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2))),
% 48.87/31.32 inference(quant_inst,[status(thm)],[])).
% 48.87/31.32 tff(11025,plain,
% 48.87/31.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2)),
% 48.87/31.32 inference(modus_ponens,[status(thm)],[11024, 11023])).
% 48.87/31.32 tff(11026,plain,
% 48.87/31.32 ((~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11025, 389, 10979])).
% 48.87/31.32 tff(11027,plain,
% 48.87/31.32 (v123(constB84, bitIndex2)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11026, 11022])).
% 48.87/31.32 tff(11028,plain,
% 48.87/31.32 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11029,plain,
% 48.87/31.32 ((v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2))) <=> (v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11030,plain,
% 48.87/31.32 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84))))),
% 48.87/31.32 inference(monotonicity,[status(thm)],[11029])).
% 48.87/31.32 tff(11031,plain,
% 48.87/31.32 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))),
% 48.87/31.32 inference(transitivity,[status(thm)],[11030, 11028])).
% 48.87/31.32 tff(11032,plain,
% 48.87/31.32 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2)))),
% 48.87/31.32 inference(quant_inst,[status(thm)],[])).
% 48.87/31.32 tff(11033,plain,
% 48.87/31.32 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84))),
% 48.87/31.32 inference(modus_ponens,[status(thm)],[11032, 11031])).
% 48.87/31.32 tff(11034,plain,
% 48.87/31.32 (v84(constB84, bitIndex2) | (~v94(constB84))),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11033, 405, 11027])).
% 48.87/31.32 tff(11035,plain,
% 48.87/31.32 (v84(constB84, bitIndex2)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11034, 11013])).
% 48.87/31.32 tff(11036,plain,
% 48.87/31.32 ((~v1(constB85)) <=> (~v1(constB85))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11037,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 48.87/31.32 tff(11038,plain,
% 48.87/31.32 (~v1(constB85)),
% 48.87/31.32 inference(modus_ponens,[status(thm)],[11037, 11036])).
% 48.87/31.32 tff(11039,plain,
% 48.87/31.32 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11040,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 48.87/31.32 tff(11041,plain,
% 48.87/31.32 (nextState(constB84, constB85)),
% 48.87/31.32 inference(modus_ponens,[status(thm)],[11040, 11039])).
% 48.87/31.32 tff(11042,plain,
% 48.87/31.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11043,plain,
% 48.87/31.32 (((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11044,plain,
% 48.87/31.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85))))),
% 48.87/31.32 inference(monotonicity,[status(thm)],[11043])).
% 48.87/31.32 tff(11045,plain,
% 48.87/31.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 48.87/31.32 inference(transitivity,[status(thm)],[11044, 11042])).
% 48.87/31.32 tff(11046,plain,
% 48.87/31.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))),
% 48.87/31.32 inference(quant_inst,[status(thm)],[])).
% 48.87/31.32 tff(11047,plain,
% 48.87/31.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85))),
% 48.87/31.32 inference(modus_ponens,[status(thm)],[11046, 11045])).
% 48.87/31.32 tff(11048,plain,
% 48.87/31.32 (~v95(constB85)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11047, 110, 11041, 11038])).
% 48.87/31.32 tff(11049,plain,
% 48.87/31.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11050,plain,
% 48.87/31.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))),
% 48.87/31.32 inference(quant_inst,[status(thm)],[])).
% 48.87/31.32 tff(11051,plain,
% 48.87/31.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85))),
% 48.87/31.32 inference(modus_ponens,[status(thm)],[11050, 11049])).
% 48.87/31.32 tff(11052,plain,
% 48.87/31.32 (v95(constB85) | (~v94(constB85))),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11051, 127, 11041])).
% 48.87/31.32 tff(11053,plain,
% 48.87/31.32 (~v94(constB85)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11052, 11048])).
% 48.87/31.32 tff(11054,plain,
% 48.87/31.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11055,plain,
% 48.87/31.32 (((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2)) <=> ((~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11056,plain,
% 48.87/31.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2)))),
% 48.87/31.32 inference(monotonicity,[status(thm)],[11055])).
% 48.87/31.32 tff(11057,plain,
% 48.87/31.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))),
% 48.87/31.32 inference(transitivity,[status(thm)],[11056, 11054])).
% 48.87/31.32 tff(11058,plain,
% 48.87/31.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2))),
% 48.87/31.32 inference(quant_inst,[status(thm)],[])).
% 48.87/31.32 tff(11059,plain,
% 48.87/31.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2)),
% 48.87/31.32 inference(modus_ponens,[status(thm)],[11058, 11057])).
% 48.87/31.32 tff(11060,plain,
% 48.87/31.32 ((~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11059, 576, 11041])).
% 48.87/31.32 tff(11061,plain,
% 48.87/31.32 ((~v84(constB84, bitIndex2)) | v84(constB85, bitIndex2)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11060, 11053])).
% 48.87/31.32 tff(11062,plain,
% 48.87/31.32 (v84(constB85, bitIndex2)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11061, 11035])).
% 48.87/31.32 tff(11063,plain,
% 48.87/31.32 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB83)) | v124(constB83, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB83)) | v124(constB83, bitIndex1))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11064,plain,
% 48.87/31.32 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB83)) | v124(constB83, bitIndex1))),
% 48.87/31.32 inference(quant_inst,[status(thm)],[])).
% 48.87/31.32 tff(11065,plain,
% 48.87/31.32 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB83)) | v124(constB83, bitIndex1)),
% 48.87/31.32 inference(modus_ponens,[status(thm)],[11064, 11063])).
% 48.87/31.32 tff(11066,plain,
% 48.87/31.32 (v124(constB83, bitIndex1)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11065, 843, 10945])).
% 48.87/31.32 tff(11067,plain,
% 48.87/31.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11068,plain,
% 48.87/31.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1))),
% 48.87/31.32 inference(quant_inst,[status(thm)],[])).
% 48.87/31.32 tff(11069,plain,
% 48.87/31.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1)),
% 48.87/31.32 inference(modus_ponens,[status(thm)],[11068, 11067])).
% 48.87/31.32 tff(11070,plain,
% 48.87/31.32 ((~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11069, 857, 10964])).
% 48.87/31.32 tff(11071,plain,
% 48.87/31.32 (v121(constB83, bitIndex1)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11070, 11066])).
% 48.87/31.32 tff(11072,plain,
% 48.87/31.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1))),
% 48.87/31.32 inference(rewrite,[status(thm)],[])).
% 48.87/31.32 tff(11073,plain,
% 48.87/31.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1))),
% 48.87/31.32 inference(quant_inst,[status(thm)],[])).
% 48.87/31.32 tff(11074,plain,
% 48.87/31.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1)),
% 48.87/31.32 inference(modus_ponens,[status(thm)],[11073, 11072])).
% 48.87/31.32 tff(11075,plain,
% 48.87/31.32 ((~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1)),
% 48.87/31.32 inference(unit_resolution,[status(thm)],[11074, 872, 10979])).
% 48.87/31.33 tff(11076,plain,
% 48.87/31.33 (v123(constB84, bitIndex1)),
% 48.87/31.33 inference(unit_resolution,[status(thm)],[11075, 11071])).
% 48.87/31.33 tff(11077,plain,
% 48.87/31.33 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))),
% 48.87/31.33 inference(rewrite,[status(thm)],[])).
% 48.87/31.33 tff(11078,plain,
% 48.87/31.33 ((v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1))) <=> (v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))),
% 48.87/31.33 inference(rewrite,[status(thm)],[])).
% 48.87/31.33 tff(11079,plain,
% 48.87/31.33 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84))))),
% 48.87/31.33 inference(monotonicity,[status(thm)],[11078])).
% 48.87/31.33 tff(11080,plain,
% 48.87/31.33 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))),
% 48.87/31.33 inference(transitivity,[status(thm)],[11079, 11077])).
% 48.87/31.33 tff(11081,plain,
% 48.87/31.33 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1)))),
% 48.87/31.33 inference(quant_inst,[status(thm)],[])).
% 48.87/31.33 tff(11082,plain,
% 48.87/31.33 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84))),
% 48.87/31.33 inference(modus_ponens,[status(thm)],[11081, 11080])).
% 48.87/31.33 tff(11083,plain,
% 48.87/31.33 (v84(constB84, bitIndex1) | (~v94(constB84))),
% 48.87/31.33 inference(unit_resolution,[status(thm)],[11082, 887, 11076])).
% 48.87/31.33 tff(11084,plain,
% 48.87/31.33 (v84(constB84, bitIndex1)),
% 48.87/31.33 inference(unit_resolution,[status(thm)],[11083, 11013])).
% 48.87/31.33 tff(11085,plain,
% 48.87/31.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))),
% 48.87/31.33 inference(rewrite,[status(thm)],[])).
% 48.87/31.33 tff(11086,plain,
% 48.87/31.33 (((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1)) <=> ((~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))),
% 48.87/31.33 inference(rewrite,[status(thm)],[])).
% 48.87/31.33 tff(11087,plain,
% 48.87/31.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1)))),
% 48.87/31.33 inference(monotonicity,[status(thm)],[11086])).
% 48.87/31.33 tff(11088,plain,
% 48.87/31.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))),
% 48.87/31.33 inference(transitivity,[status(thm)],[11087, 11085])).
% 48.87/31.33 tff(11089,plain,
% 48.87/31.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1))),
% 48.87/31.33 inference(quant_inst,[status(thm)],[])).
% 48.87/31.33 tff(11090,plain,
% 48.87/31.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1)),
% 48.87/31.33 inference(modus_ponens,[status(thm)],[11089, 11088])).
% 48.87/31.33 tff(11091,plain,
% 48.87/31.33 ((~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1)),
% 48.87/31.33 inference(unit_resolution,[status(thm)],[11090, 905, 11041])).
% 48.87/31.33 tff(11092,plain,
% 48.87/31.33 ((~v84(constB84, bitIndex1)) | v84(constB85, bitIndex1)),
% 48.87/31.33 inference(unit_resolution,[status(thm)],[11091, 11053])).
% 48.87/31.33 tff(11093,plain,
% 48.87/31.33 (v84(constB85, bitIndex1)),
% 48.87/31.33 inference(unit_resolution,[status(thm)],[11092, 11084])).
% 48.87/31.33 tff(11094,plain,
% 48.87/31.33 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB83)) | (~v124(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB83)) | (~v124(constB83, bitIndex0)))),
% 48.87/31.33 inference(rewrite,[status(thm)],[])).
% 48.87/31.33 tff(11095,plain,
% 48.87/31.33 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB83)) | (~v124(constB83, bitIndex0)))),
% 48.87/31.33 inference(quant_inst,[status(thm)],[])).
% 48.87/31.33 tff(11096,plain,
% 48.87/31.33 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB83)) | (~v124(constB83, bitIndex0))),
% 48.87/31.33 inference(modus_ponens,[status(thm)],[11095, 11094])).
% 48.87/31.33 tff(11097,plain,
% 48.87/31.33 (~v124(constB83, bitIndex0)),
% 48.87/31.33 inference(unit_resolution,[status(thm)],[11096, 921, 10945])).
% 48.87/31.33 tff(11098,plain,
% 48.87/31.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))),
% 48.87/31.33 inference(rewrite,[status(thm)],[])).
% 48.87/31.33 tff(11099,plain,
% 48.87/31.33 ((v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0))) <=> ((~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))),
% 48.87/31.33 inference(rewrite,[status(thm)],[])).
% 48.87/31.33 tff(11100,plain,
% 48.87/31.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0)))),
% 48.87/31.33 inference(monotonicity,[status(thm)],[11099])).
% 48.87/31.33 tff(11101,plain,
% 48.87/31.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))),
% 48.87/31.33 inference(transitivity,[status(thm)],[11100, 11098])).
% 48.87/31.33 tff(11102,plain,
% 48.87/31.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0)))),
% 48.87/31.33 inference(quant_inst,[status(thm)],[])).
% 48.87/31.33 tff(11103,plain,
% 48.87/31.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0)),
% 48.87/31.33 inference(modus_ponens,[status(thm)],[11102, 11101])).
% 48.87/31.33 tff(11104,plain,
% 48.87/31.33 ((~v121(constB83, bitIndex0)) | v124(constB83, bitIndex0)),
% 48.87/31.33 inference(unit_resolution,[status(thm)],[11103, 607, 10964])).
% 48.87/31.33 tff(11105,plain,
% 48.87/31.33 (~v121(constB83, bitIndex0)),
% 48.87/31.33 inference(unit_resolution,[status(thm)],[11104, 11097])).
% 48.87/31.33 tff(11106,plain,
% 48.87/31.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0)))),
% 48.87/31.33 inference(rewrite,[status(thm)],[])).
% 48.87/31.33 tff(11107,plain,
% 48.87/31.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0)))),
% 48.87/31.33 inference(quant_inst,[status(thm)],[])).
% 48.87/31.33 tff(11108,plain,
% 48.87/31.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0))),
% 48.87/31.33 inference(modus_ponens,[status(thm)],[11107, 11106])).
% 48.87/31.33 tff(11109,plain,
% 48.87/31.33 (v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0))),
% 48.87/31.33 inference(unit_resolution,[status(thm)],[11108, 637, 10979])).
% 48.87/31.33 tff(11110,plain,
% 48.87/31.33 (~v123(constB84, bitIndex0)),
% 48.87/31.33 inference(unit_resolution,[status(thm)],[11109, 11105])).
% 48.87/31.33 tff(11111,plain,
% 48.87/31.33 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))),
% 48.87/31.33 inference(rewrite,[status(thm)],[])).
% 48.87/31.33 tff(11112,plain,
% 48.87/31.33 (((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0)) <=> ((~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))),
% 48.87/31.33 inference(rewrite,[status(thm)],[])).
% 48.87/31.33 tff(11113,plain,
% 48.87/31.33 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84))))),
% 48.87/31.33 inference(monotonicity,[status(thm)],[11112])).
% 48.87/31.33 tff(11114,plain,
% 48.87/31.33 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))),
% 48.87/31.33 inference(transitivity,[status(thm)],[11113, 11111])).
% 48.87/31.33 tff(11115,plain,
% 48.87/31.33 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0))),
% 48.87/31.33 inference(quant_inst,[status(thm)],[])).
% 48.87/31.33 tff(11116,plain,
% 48.87/31.33 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84))),
% 48.87/31.33 inference(modus_ponens,[status(thm)],[11115, 11114])).
% 48.87/31.34 tff(11117,plain,
% 48.87/31.34 ((~v84(constB84, bitIndex0)) | (~v94(constB84))),
% 48.87/31.34 inference(unit_resolution,[status(thm)],[11116, 652, 11110])).
% 48.87/31.34 tff(11118,plain,
% 48.87/31.34 (~v84(constB84, bitIndex0)),
% 48.87/31.34 inference(unit_resolution,[status(thm)],[11117, 11013])).
% 48.87/31.34 tff(11119,plain,
% 48.87/31.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 48.87/31.34 inference(rewrite,[status(thm)],[])).
% 48.87/31.34 tff(11120,plain,
% 48.87/31.34 (((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0))) <=> (v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 48.87/31.34 inference(rewrite,[status(thm)],[])).
% 48.87/31.34 tff(11121,plain,
% 48.87/31.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0))))),
% 48.87/31.34 inference(monotonicity,[status(thm)],[11120])).
% 48.87/31.34 tff(11122,plain,
% 48.87/31.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 48.87/31.34 inference(transitivity,[status(thm)],[11121, 11119])).
% 48.87/31.34 tff(11123,plain,
% 48.87/31.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 48.87/31.34 inference(quant_inst,[status(thm)],[])).
% 48.87/31.34 tff(11124,plain,
% 48.87/31.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0))),
% 48.87/31.34 inference(modus_ponens,[status(thm)],[11123, 11122])).
% 48.87/31.34 tff(11125,plain,
% 48.87/31.34 (v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0))),
% 48.87/31.34 inference(unit_resolution,[status(thm)],[11124, 184, 11041])).
% 48.87/31.34 tff(11126,plain,
% 48.87/31.34 (v84(constB84, bitIndex0) | (~v84(constB85, bitIndex0))),
% 48.87/31.34 inference(unit_resolution,[status(thm)],[11125, 11053])).
% 48.87/31.34 tff(11127,plain,
% 48.87/31.34 (~v84(constB85, bitIndex0)),
% 48.87/31.34 inference(unit_resolution,[status(thm)],[11126, 11118])).
% 48.87/31.34 tff(11128,plain,
% 48.87/31.34 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))),
% 48.87/31.34 inference(rewrite,[status(thm)],[])).
% 48.87/31.34 tff(11129,plain,
% 48.87/31.34 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11130,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85)),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11129, 11128])).
% 48.89/31.34 tff(11131,plain,
% 48.89/31.34 (v119(constB85)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11130, 965, 11127, 11093, 11062])).
% 48.89/31.34 tff(11132,plain,
% 48.89/31.34 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB85)) | v107(constB85))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB85)) | v107(constB85))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11133,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB85)) | v107(constB85))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11134,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB85)) | v107(constB85)),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11133, 11132])).
% 48.89/31.34 tff(11135,plain,
% 48.89/31.34 (v107(constB85)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11134, 976, 11131])).
% 48.89/31.34 tff(11136,assumption,(v26(constB85)), introduced(assumption)).
% 48.89/31.34 tff(11137,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB85))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11138,plain,
% 48.89/31.34 ($false),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11137, 55, 11136])).
% 48.89/31.34 tff(11139,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 48.89/31.34 tff(11140,plain,
% 48.89/31.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | (~v107(constB85)) | v106(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB85) | (~v107(constB85)) | v106(constB85))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11141,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | (~v107(constB85)) | v106(constB85))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11142,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB85) | (~v107(constB85)) | v106(constB85)),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11141, 11140])).
% 48.89/31.34 tff(11143,plain,
% 48.89/31.34 ((~v107(constB85)) | v106(constB85)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11142, 348, 11139])).
% 48.89/31.34 tff(11144,plain,
% 48.89/31.34 (v106(constB85)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11143, 11135])).
% 48.89/31.34 tff(11145,plain,
% 48.89/31.34 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB85) | (~v106(constB85)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB85) | (~v106(constB85)))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11146,plain,
% 48.89/31.34 (((~v106(constB85)) | v102(constB85)) <=> (v102(constB85) | (~v106(constB85)))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11147,plain,
% 48.89/31.34 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB85)) | v102(constB85))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB85) | (~v106(constB85))))),
% 48.89/31.34 inference(monotonicity,[status(thm)],[11146])).
% 48.89/31.34 tff(11148,plain,
% 48.89/31.34 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB85)) | v102(constB85))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB85) | (~v106(constB85)))),
% 48.89/31.34 inference(transitivity,[status(thm)],[11147, 11145])).
% 48.89/31.34 tff(11149,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB85)) | v102(constB85))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11150,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB85) | (~v106(constB85))),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11149, 11148])).
% 48.89/31.34 tff(11151,plain,
% 48.89/31.34 (v102(constB85)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11150, 504, 11144])).
% 48.89/31.34 tff(11152,plain,
% 48.89/31.34 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11153,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 48.89/31.34 tff(11154,plain,
% 48.89/31.34 (nextState(constB85, constB86)),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11153, 11152])).
% 48.89/31.34 tff(11155,plain,
% 48.89/31.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11156,plain,
% 48.89/31.34 (((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86)) <=> ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11157,plain,
% 48.89/31.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85))))),
% 48.89/31.34 inference(monotonicity,[status(thm)],[11156])).
% 48.89/31.34 tff(11158,plain,
% 48.89/31.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 48.89/31.34 inference(transitivity,[status(thm)],[11157, 11155])).
% 48.89/31.34 tff(11159,plain,
% 48.89/31.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11160,plain,
% 48.89/31.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85))),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11159, 11158])).
% 48.89/31.34 tff(11161,plain,
% 48.89/31.34 (v104(constB86) | (~v102(constB85))),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11160, 489, 11154])).
% 48.89/31.34 tff(11162,plain,
% 48.89/31.34 (v104(constB86)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11161, 11151])).
% 48.89/31.34 tff(11163,plain,
% 48.89/31.34 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11164,plain,
% 48.89/31.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11165,plain,
% 48.89/31.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86))),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11164, 11163])).
% 48.89/31.34 tff(11166,plain,
% 48.89/31.34 (~v98(constB86)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11165, 423, 11154, 11038])).
% 48.89/31.34 tff(11167,plain,
% 48.89/31.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11168,plain,
% 48.89/31.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11169,plain,
% 48.89/31.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB85, constB86)) | v96(constB86) | v98(constB86)),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11168, 11167])).
% 48.89/31.34 tff(11170,plain,
% 48.89/31.34 (v96(constB86) | v98(constB86)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11169, 437, 11154])).
% 48.89/31.34 tff(11171,plain,
% 48.89/31.34 (v96(constB86)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11170, 11166])).
% 48.89/31.34 tff(11172,plain,
% 48.89/31.34 (v1(constB86) <=> v1(constB86)),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11173,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 48.89/31.34 tff(11174,plain,
% 48.89/31.34 (v1(constB86)),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11173, 11172])).
% 48.89/31.34 tff(11175,plain,
% 48.89/31.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11176,plain,
% 48.89/31.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11177,plain,
% 48.89/31.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86))),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11176, 11175])).
% 48.89/31.34 tff(11178,plain,
% 48.89/31.34 (v95(constB86) | (~v96(constB86))),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11177, 455, 11154, 11174])).
% 48.89/31.34 tff(11179,plain,
% 48.89/31.34 (v95(constB86)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11178, 11171])).
% 48.89/31.34 tff(11180,plain,
% 48.89/31.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11181,plain,
% 48.89/31.34 (((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86)) <=> ((~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11182,plain,
% 48.89/31.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86))))),
% 48.89/31.34 inference(monotonicity,[status(thm)],[11181])).
% 48.89/31.34 tff(11183,plain,
% 48.89/31.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))),
% 48.89/31.34 inference(transitivity,[status(thm)],[11182, 11180])).
% 48.89/31.34 tff(11184,plain,
% 48.89/31.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11185,plain,
% 48.89/31.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86))),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11184, 11183])).
% 48.89/31.34 tff(11186,plain,
% 48.89/31.34 (v94(constB86) | (~v95(constB86)) | (~v104(constB86))),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11185, 470, 11154])).
% 48.89/31.34 tff(11187,plain,
% 48.89/31.34 (v94(constB86) | (~v104(constB86))),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11186, 11179])).
% 48.89/31.34 tff(11188,plain,
% 48.89/31.34 (v94(constB86)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11187, 11162])).
% 48.89/31.34 tff(11189,plain,
% 48.89/31.34 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB85)) | (~v84(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB85)) | (~v84(constB85, bitIndex1)))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11190,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB85)) | (~v84(constB85, bitIndex1)))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11191,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB85)) | (~v84(constB85, bitIndex1))),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11190, 11189])).
% 48.89/31.34 tff(11192,plain,
% 48.89/31.34 (~v113(constB85)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11191, 1058, 11093])).
% 48.89/31.34 tff(11193,plain,
% 48.89/31.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB85)) | (~v84(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB85)) | (~v84(constB85, bitIndex1)))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11194,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB85)) | (~v84(constB85, bitIndex1)))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11195,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB85)) | (~v84(constB85, bitIndex1))),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11194, 11193])).
% 48.89/31.34 tff(11196,plain,
% 48.89/31.34 (~v118(constB85)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11195, 1069, 11093])).
% 48.89/31.34 tff(11197,plain,
% 48.89/31.34 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB85)) | (~v84(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB85)) | (~v84(constB85, bitIndex1)))),
% 48.89/31.34 inference(rewrite,[status(thm)],[])).
% 48.89/31.34 tff(11198,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB85)) | (~v84(constB85, bitIndex1)))),
% 48.89/31.34 inference(quant_inst,[status(thm)],[])).
% 48.89/31.34 tff(11199,plain,
% 48.89/31.34 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB85)) | (~v84(constB85, bitIndex1))),
% 48.89/31.34 inference(modus_ponens,[status(thm)],[11198, 11197])).
% 48.89/31.34 tff(11200,plain,
% 48.89/31.34 (~v145(constB85)),
% 48.89/31.34 inference(unit_resolution,[status(thm)],[11199, 1091, 11093])).
% 48.89/31.34 tff(11201,plain,
% 48.89/31.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB85)) | (~v84(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB85)) | (~v84(constB85, bitIndex2)))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11202,plain,
% 48.89/31.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB85)) | (~v84(constB85, bitIndex2)))),
% 48.89/31.35 inference(quant_inst,[status(thm)],[])).
% 48.89/31.35 tff(11203,plain,
% 48.89/31.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB85)) | (~v84(constB85, bitIndex2))),
% 48.89/31.35 inference(modus_ponens,[status(thm)],[11202, 11201])).
% 48.89/31.35 tff(11204,plain,
% 48.89/31.35 (~v115(constB85)),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11203, 1036, 11062])).
% 48.89/31.35 tff(11205,plain,
% 48.89/31.35 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB85)) | (~v84(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB85)) | (~v84(constB85, bitIndex1)))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11206,plain,
% 48.89/31.35 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB85)) | (~v84(constB85, bitIndex1)))),
% 48.89/31.35 inference(quant_inst,[status(thm)],[])).
% 48.89/31.35 tff(11207,plain,
% 48.89/31.35 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB85)) | (~v84(constB85, bitIndex1))),
% 48.89/31.35 inference(modus_ponens,[status(thm)],[11206, 11205])).
% 48.89/31.35 tff(11208,plain,
% 48.89/31.35 (~v172(constB85)),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11207, 1080, 11093])).
% 48.89/31.35 tff(11209,plain,
% 48.89/31.35 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB85)) | (~v84(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB85)) | (~v84(constB85, bitIndex2)))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11210,plain,
% 48.89/31.35 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB85)) | (~v84(constB85, bitIndex2)))),
% 48.89/31.35 inference(quant_inst,[status(thm)],[])).
% 48.89/31.35 tff(11211,plain,
% 48.89/31.35 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB85)) | (~v84(constB85, bitIndex2))),
% 48.89/31.35 inference(modus_ponens,[status(thm)],[11210, 11209])).
% 48.89/31.35 tff(11212,plain,
% 48.89/31.35 (~v116(constB85)),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11211, 1047, 11062])).
% 48.89/31.35 tff(11213,plain,
% 48.89/31.35 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex2)))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11214,plain,
% 48.89/31.35 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2))) <=> (v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex2)))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11215,plain,
% 48.89/31.35 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex2))))),
% 48.89/31.35 inference(monotonicity,[status(thm)],[11214])).
% 48.89/31.35 tff(11216,plain,
% 48.89/31.35 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex2)))),
% 48.89/31.35 inference(transitivity,[status(thm)],[11215, 11213])).
% 48.89/31.35 tff(11217,plain,
% 48.89/31.35 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))),
% 48.89/31.35 inference(quant_inst,[status(thm)],[])).
% 48.89/31.35 tff(11218,plain,
% 48.89/31.35 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex2))),
% 48.89/31.35 inference(modus_ponens,[status(thm)],[11217, 11216])).
% 48.89/31.35 tff(11219,plain,
% 48.89/31.35 (~v124(constB85, bitIndex2)),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11218, 1170, 11212, 11208, 11204, 11200, 11196, 11192])).
% 48.89/31.35 tff(11220,plain,
% 48.89/31.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11221,plain,
% 48.89/31.35 ((v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2))) <=> ((~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11222,plain,
% 48.89/31.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2)))),
% 48.89/31.35 inference(monotonicity,[status(thm)],[11221])).
% 48.89/31.35 tff(11223,plain,
% 48.89/31.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))),
% 48.89/31.35 inference(transitivity,[status(thm)],[11222, 11220])).
% 48.89/31.35 tff(11224,plain,
% 48.89/31.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))),
% 48.89/31.35 inference(quant_inst,[status(thm)],[])).
% 48.89/31.35 tff(11225,plain,
% 48.89/31.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2)),
% 48.89/31.35 inference(modus_ponens,[status(thm)],[11224, 11223])).
% 48.89/31.35 tff(11226,plain,
% 48.89/31.35 ((~v121(constB85, bitIndex2)) | v124(constB85, bitIndex2)),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11225, 1187, 11139])).
% 48.89/31.35 tff(11227,plain,
% 48.89/31.35 (~v121(constB85, bitIndex2)),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11226, 11219])).
% 48.89/31.35 tff(11228,plain,
% 48.89/31.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11229,plain,
% 48.89/31.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))),
% 48.89/31.35 inference(quant_inst,[status(thm)],[])).
% 48.89/31.35 tff(11230,plain,
% 48.89/31.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2))),
% 48.89/31.35 inference(modus_ponens,[status(thm)],[11229, 11228])).
% 48.89/31.35 tff(11231,plain,
% 48.89/31.35 (v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2))),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11230, 1205, 11154])).
% 48.89/31.35 tff(11232,plain,
% 48.89/31.35 (~v123(constB86, bitIndex2)),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11231, 11227])).
% 48.89/31.35 tff(11233,plain,
% 48.89/31.35 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11234,plain,
% 48.89/31.35 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))),
% 48.89/31.35 inference(quant_inst,[status(thm)],[])).
% 48.89/31.35 tff(11235,plain,
% 48.89/31.35 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86))),
% 48.89/31.35 inference(modus_ponens,[status(thm)],[11234, 11233])).
% 48.89/31.35 tff(11236,plain,
% 48.89/31.35 ((~v84(constB86, bitIndex2)) | (~v94(constB86))),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11235, 1220, 11232])).
% 48.89/31.35 tff(11237,plain,
% 48.89/31.35 (~v84(constB86, bitIndex2)),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11236, 11188])).
% 48.89/31.35 tff(11238,plain,
% 48.89/31.35 ((~v1(constB87)) <=> (~v1(constB87))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11239,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 48.89/31.35 tff(11240,plain,
% 48.89/31.35 (~v1(constB87)),
% 48.89/31.35 inference(modus_ponens,[status(thm)],[11239, 11238])).
% 48.89/31.35 tff(11241,plain,
% 48.89/31.35 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11242,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 48.89/31.35 tff(11243,plain,
% 48.89/31.35 (nextState(constB86, constB87)),
% 48.89/31.35 inference(modus_ponens,[status(thm)],[11242, 11241])).
% 48.89/31.35 tff(11244,plain,
% 48.89/31.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11245,plain,
% 48.89/31.35 (((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11246,plain,
% 48.89/31.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87))))),
% 48.89/31.35 inference(monotonicity,[status(thm)],[11245])).
% 48.89/31.35 tff(11247,plain,
% 48.89/31.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 48.89/31.35 inference(transitivity,[status(thm)],[11246, 11244])).
% 48.89/31.35 tff(11248,plain,
% 48.89/31.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))),
% 48.89/31.35 inference(quant_inst,[status(thm)],[])).
% 48.89/31.35 tff(11249,plain,
% 48.89/31.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87))),
% 48.89/31.35 inference(modus_ponens,[status(thm)],[11248, 11247])).
% 48.89/31.35 tff(11250,plain,
% 48.89/31.35 (~v95(constB87)),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11249, 110, 11243, 11240])).
% 48.89/31.35 tff(11251,plain,
% 48.89/31.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11252,plain,
% 48.89/31.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))),
% 48.89/31.35 inference(quant_inst,[status(thm)],[])).
% 48.89/31.35 tff(11253,plain,
% 48.89/31.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87))),
% 48.89/31.35 inference(modus_ponens,[status(thm)],[11252, 11251])).
% 48.89/31.35 tff(11254,plain,
% 48.89/31.35 (v95(constB87) | (~v94(constB87))),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11253, 127, 11243])).
% 48.89/31.35 tff(11255,plain,
% 48.89/31.35 (~v94(constB87)),
% 48.89/31.35 inference(unit_resolution,[status(thm)],[11254, 11250])).
% 48.89/31.35 tff(11256,plain,
% 48.89/31.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11257,plain,
% 48.89/31.35 (((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2))) <=> (v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 48.89/31.35 inference(rewrite,[status(thm)],[])).
% 48.89/31.35 tff(11258,plain,
% 48.89/31.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2))))),
% 48.89/31.35 inference(monotonicity,[status(thm)],[11257])).
% 48.89/31.35 tff(11259,plain,
% 48.89/31.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 48.89/31.36 inference(transitivity,[status(thm)],[11258, 11256])).
% 48.89/31.36 tff(11260,plain,
% 48.89/31.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 48.89/31.36 inference(quant_inst,[status(thm)],[])).
% 48.89/31.36 tff(11261,plain,
% 48.89/31.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2))),
% 48.89/31.36 inference(modus_ponens,[status(thm)],[11260, 11259])).
% 48.89/31.36 tff(11262,plain,
% 48.89/31.36 (v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2))),
% 48.89/31.36 inference(unit_resolution,[status(thm)],[11261, 142, 11243])).
% 48.89/31.36 tff(11263,plain,
% 48.89/31.36 (v84(constB86, bitIndex2) | (~v84(constB87, bitIndex2))),
% 48.89/31.36 inference(unit_resolution,[status(thm)],[11262, 11255])).
% 48.89/31.36 tff(11264,plain,
% 48.89/31.36 (~v84(constB87, bitIndex2)),
% 48.89/31.36 inference(unit_resolution,[status(thm)],[11263, 11237])).
% 48.89/31.36 tff(11265,plain,
% 48.89/31.36 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex1)))),
% 48.89/31.36 inference(rewrite,[status(thm)],[])).
% 48.89/31.36 tff(11266,plain,
% 48.89/31.36 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1))) <=> (v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex1)))),
% 48.89/31.36 inference(rewrite,[status(thm)],[])).
% 48.89/31.36 tff(11267,plain,
% 48.89/31.36 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex1))))),
% 48.89/31.36 inference(monotonicity,[status(thm)],[11266])).
% 48.89/31.36 tff(11268,plain,
% 48.89/31.36 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex1)))),
% 48.89/31.36 inference(transitivity,[status(thm)],[11267, 11265])).
% 48.89/31.36 tff(11269,plain,
% 48.89/31.36 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))),
% 48.89/31.36 inference(quant_inst,[status(thm)],[])).
% 48.89/31.36 tff(11270,plain,
% 48.89/31.36 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex1))),
% 48.89/31.36 inference(modus_ponens,[status(thm)],[11269, 11268])).
% 48.89/31.36 tff(11271,plain,
% 48.89/31.36 (~v124(constB85, bitIndex1)),
% 48.89/31.36 inference(unit_resolution,[status(thm)],[11270, 1105, 11212, 11208, 11204, 11200, 11196, 11192])).
% 48.89/31.36 tff(11272,plain,
% 48.89/31.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))),
% 48.89/31.36 inference(rewrite,[status(thm)],[])).
% 48.89/31.36 tff(11273,plain,
% 48.89/31.36 ((v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1))) <=> ((~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))),
% 48.89/31.36 inference(rewrite,[status(thm)],[])).
% 48.89/31.36 tff(11274,plain,
% 48.89/31.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1)))),
% 48.89/31.36 inference(monotonicity,[status(thm)],[11273])).
% 48.89/31.36 tff(11275,plain,
% 48.89/31.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))),
% 48.89/31.36 inference(transitivity,[status(thm)],[11274, 11272])).
% 48.89/31.36 tff(11276,plain,
% 48.89/31.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))),
% 48.89/31.36 inference(quant_inst,[status(thm)],[])).
% 48.89/31.36 tff(11277,plain,
% 48.89/31.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1)),
% 48.89/31.36 inference(modus_ponens,[status(thm)],[11276, 11275])).
% 48.89/31.36 tff(11278,plain,
% 48.89/31.36 ((~v121(constB85, bitIndex1)) | v124(constB85, bitIndex1)),
% 48.89/31.36 inference(unit_resolution,[status(thm)],[11277, 233, 11139])).
% 48.89/31.36 tff(11279,plain,
% 48.89/31.36 (~v121(constB85, bitIndex1)),
% 48.89/31.36 inference(unit_resolution,[status(thm)],[11278, 11271])).
% 48.89/31.36 tff(11280,plain,
% 48.89/31.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1)))),
% 48.89/31.36 inference(rewrite,[status(thm)],[])).
% 48.89/31.36 tff(11281,plain,
% 48.89/31.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1)))),
% 48.89/31.36 inference(quant_inst,[status(thm)],[])).
% 48.89/31.36 tff(11282,plain,
% 48.89/31.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1))),
% 48.89/31.36 inference(modus_ponens,[status(thm)],[11281, 11280])).
% 48.89/31.36 tff(11283,plain,
% 48.89/31.36 (v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1))),
% 48.89/31.36 inference(unit_resolution,[status(thm)],[11282, 254, 11154])).
% 48.89/31.36 tff(11284,plain,
% 48.89/31.36 (~v123(constB86, bitIndex1)),
% 48.89/31.36 inference(unit_resolution,[status(thm)],[11283, 11279])).
% 48.89/31.36 tff(11285,plain,
% 48.89/31.36 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))),
% 48.89/31.36 inference(rewrite,[status(thm)],[])).
% 48.89/31.36 tff(11286,plain,
% 48.89/31.36 (((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1)) <=> ((~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))),
% 48.89/31.36 inference(rewrite,[status(thm)],[])).
% 48.89/31.36 tff(11287,plain,
% 48.89/31.36 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86))))),
% 48.89/31.36 inference(monotonicity,[status(thm)],[11286])).
% 48.89/31.36 tff(11288,plain,
% 48.89/31.36 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))),
% 48.89/31.36 inference(transitivity,[status(thm)],[11287, 11285])).
% 48.89/31.36 tff(11289,plain,
% 48.89/31.36 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1))),
% 48.89/31.36 inference(quant_inst,[status(thm)],[])).
% 48.89/31.36 tff(11290,plain,
% 48.89/31.36 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86))),
% 48.89/31.36 inference(modus_ponens,[status(thm)],[11289, 11288])).
% 48.89/31.36 tff(11291,plain,
% 48.89/31.36 ((~v84(constB86, bitIndex1)) | (~v94(constB86))),
% 48.89/31.36 inference(unit_resolution,[status(thm)],[11290, 532, 11284])).
% 48.89/31.36 tff(11292,plain,
% 48.89/31.36 (~v84(constB86, bitIndex1)),
% 48.89/31.36 inference(unit_resolution,[status(thm)],[11291, 11188])).
% 48.89/31.36 tff(11293,plain,
% 48.89/31.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 48.89/31.36 inference(rewrite,[status(thm)],[])).
% 48.89/31.36 tff(11294,plain,
% 48.89/31.36 (((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1))) <=> (v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 48.89/31.36 inference(rewrite,[status(thm)],[])).
% 48.89/31.36 tff(11295,plain,
% 48.89/31.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1))))),
% 48.89/31.36 inference(monotonicity,[status(thm)],[11294])).
% 48.89/31.36 tff(11296,plain,
% 48.89/31.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 48.89/31.37 inference(transitivity,[status(thm)],[11295, 11293])).
% 48.89/31.37 tff(11297,plain,
% 48.89/31.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 48.89/31.37 inference(quant_inst,[status(thm)],[])).
% 48.89/31.37 tff(11298,plain,
% 48.89/31.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1))),
% 48.89/31.37 inference(modus_ponens,[status(thm)],[11297, 11296])).
% 48.89/31.37 tff(11299,plain,
% 48.89/31.37 (v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1))),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11298, 163, 11243])).
% 48.89/31.37 tff(11300,plain,
% 48.89/31.37 (v84(constB86, bitIndex1) | (~v84(constB87, bitIndex1))),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11299, 11255])).
% 48.89/31.37 tff(11301,plain,
% 48.89/31.37 (~v84(constB87, bitIndex1)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11300, 11292])).
% 48.89/31.37 tff(11302,assumption,(~v115(constB85)), introduced(assumption)).
% 48.89/31.37 tff(11303,assumption,(~v118(constB85)), introduced(assumption)).
% 48.89/31.37 tff(11304,assumption,(~v145(constB85)), introduced(assumption)).
% 48.89/31.37 tff(11305,assumption,(~v124(constB85, bitIndex0)), introduced(assumption)).
% 48.89/31.37 tff(11306,assumption,(v84(constB85, bitIndex2)), introduced(assumption)).
% 48.89/31.37 tff(11307,plain,
% 48.89/31.37 (~v116(constB85)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11211, 1047, 11306])).
% 48.89/31.37 tff(11308,plain,
% 48.89/31.37 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB85)) | (~v84(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB85)) | (~v84(constB85, bitIndex2)))),
% 48.89/31.37 inference(rewrite,[status(thm)],[])).
% 48.89/31.37 tff(11309,plain,
% 48.89/31.37 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB85)) | (~v84(constB85, bitIndex2)))),
% 48.89/31.37 inference(quant_inst,[status(thm)],[])).
% 48.89/31.37 tff(11310,plain,
% 48.89/31.37 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB85)) | (~v84(constB85, bitIndex2))),
% 48.89/31.37 inference(modus_ponens,[status(thm)],[11309, 11308])).
% 48.89/31.37 tff(11311,plain,
% 48.89/31.37 (~v113(constB85)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11310, 4280, 11306])).
% 48.89/31.37 tff(11312,assumption,(~v172(constB85)), introduced(assumption)).
% 48.89/31.37 tff(11313,plain,
% 48.89/31.37 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0))),
% 48.89/31.37 inference(rewrite,[status(thm)],[])).
% 48.89/31.37 tff(11314,plain,
% 48.89/31.37 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0)) <=> (v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0))),
% 48.89/31.37 inference(rewrite,[status(thm)],[])).
% 48.89/31.37 tff(11315,plain,
% 48.89/31.37 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0)))),
% 48.89/31.37 inference(monotonicity,[status(thm)],[11314])).
% 48.89/31.37 tff(11316,plain,
% 48.89/31.37 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0))),
% 48.89/31.37 inference(transitivity,[status(thm)],[11315, 11313])).
% 48.89/31.37 tff(11317,plain,
% 48.89/31.37 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0))),
% 48.89/31.37 inference(quant_inst,[status(thm)],[])).
% 48.89/31.37 tff(11318,plain,
% 48.89/31.37 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB85) | v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0)),
% 48.89/31.37 inference(modus_ponens,[status(thm)],[11317, 11316])).
% 48.89/31.37 tff(11319,plain,
% 48.89/31.37 (v115(constB85) | v113(constB85) | v145(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11318, 1374, 11312])).
% 48.89/31.37 tff(11320,plain,
% 48.89/31.37 ($false),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11319, 11311, 11307, 11305, 11304, 11303, 11302])).
% 48.89/31.37 tff(11321,plain,((~v84(constB85, bitIndex2)) | v124(constB85, bitIndex0) | v145(constB85) | v118(constB85) | v115(constB85) | v172(constB85)), inference(lemma,lemma(discharge,[]))).
% 48.89/31.37 tff(11322,plain,
% 48.89/31.37 (v124(constB85, bitIndex0)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11321, 11208, 11062, 11196, 11204, 11200])).
% 48.89/31.37 tff(11323,plain,
% 48.89/31.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0))),
% 48.89/31.37 inference(rewrite,[status(thm)],[])).
% 48.89/31.37 tff(11324,plain,
% 48.89/31.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0))),
% 48.89/31.37 inference(quant_inst,[status(thm)],[])).
% 48.89/31.37 tff(11325,plain,
% 48.89/31.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0)),
% 48.89/31.37 inference(modus_ponens,[status(thm)],[11324, 11323])).
% 48.89/31.37 tff(11326,plain,
% 48.89/31.37 ((~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11325, 1391, 11139])).
% 48.89/31.37 tff(11327,plain,
% 48.89/31.37 (v121(constB85, bitIndex0)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11326, 11322])).
% 48.89/31.37 tff(11328,plain,
% 48.89/31.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0))),
% 48.89/31.37 inference(rewrite,[status(thm)],[])).
% 48.89/31.37 tff(11329,plain,
% 48.89/31.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0))),
% 48.89/31.37 inference(quant_inst,[status(thm)],[])).
% 48.89/31.37 tff(11330,plain,
% 48.89/31.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0)),
% 48.89/31.37 inference(modus_ponens,[status(thm)],[11329, 11328])).
% 48.89/31.37 tff(11331,plain,
% 48.89/31.37 ((~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11330, 1406, 11154])).
% 48.89/31.37 tff(11332,plain,
% 48.89/31.37 (v123(constB86, bitIndex0)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11331, 11327])).
% 48.89/31.37 tff(11333,plain,
% 48.89/31.37 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))),
% 48.89/31.37 inference(rewrite,[status(thm)],[])).
% 48.89/31.37 tff(11334,plain,
% 48.89/31.37 ((v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0))) <=> (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))),
% 48.89/31.37 inference(rewrite,[status(thm)],[])).
% 48.89/31.37 tff(11335,plain,
% 48.89/31.37 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86))))),
% 48.89/31.37 inference(monotonicity,[status(thm)],[11334])).
% 48.89/31.37 tff(11336,plain,
% 48.89/31.37 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))),
% 48.89/31.37 inference(transitivity,[status(thm)],[11335, 11333])).
% 48.89/31.37 tff(11337,plain,
% 48.89/31.37 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0)))),
% 48.89/31.37 inference(quant_inst,[status(thm)],[])).
% 48.89/31.37 tff(11338,plain,
% 48.89/31.37 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86))),
% 48.89/31.37 inference(modus_ponens,[status(thm)],[11337, 11336])).
% 48.89/31.37 tff(11339,plain,
% 48.89/31.37 (v84(constB86, bitIndex0) | (~v94(constB86))),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11338, 1421, 11332])).
% 48.89/31.37 tff(11340,plain,
% 48.89/31.37 (v84(constB86, bitIndex0)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11339, 11188])).
% 48.89/31.37 tff(11341,plain,
% 48.89/31.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))),
% 48.89/31.37 inference(rewrite,[status(thm)],[])).
% 48.89/31.37 tff(11342,plain,
% 48.89/31.37 (((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0)) <=> ((~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))),
% 48.89/31.37 inference(rewrite,[status(thm)],[])).
% 48.89/31.37 tff(11343,plain,
% 48.89/31.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0)))),
% 48.89/31.37 inference(monotonicity,[status(thm)],[11342])).
% 48.89/31.37 tff(11344,plain,
% 48.89/31.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))),
% 48.89/31.37 inference(transitivity,[status(thm)],[11343, 11341])).
% 48.89/31.37 tff(11345,plain,
% 48.89/31.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0))),
% 48.89/31.37 inference(quant_inst,[status(thm)],[])).
% 48.89/31.37 tff(11346,plain,
% 48.89/31.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0)),
% 48.89/31.37 inference(modus_ponens,[status(thm)],[11345, 11344])).
% 48.89/31.37 tff(11347,plain,
% 48.89/31.37 ((~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11346, 1439, 11243])).
% 48.89/31.37 tff(11348,plain,
% 48.89/31.37 ((~v84(constB86, bitIndex0)) | v84(constB87, bitIndex0)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11347, 11255])).
% 48.89/31.37 tff(11349,plain,
% 48.89/31.37 (v84(constB87, bitIndex0)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11348, 11340])).
% 48.89/31.37 tff(11350,plain,
% 48.89/31.37 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))),
% 48.89/31.37 inference(rewrite,[status(thm)],[])).
% 48.89/31.37 tff(11351,plain,
% 48.89/31.37 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))),
% 48.89/31.37 inference(quant_inst,[status(thm)],[])).
% 48.89/31.37 tff(11352,plain,
% 48.89/31.37 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87)),
% 48.89/31.37 inference(modus_ponens,[status(thm)],[11351, 11350])).
% 48.89/31.37 tff(11353,plain,
% 48.89/31.37 (v145(constB87)),
% 48.89/31.37 inference(unit_resolution,[status(thm)],[11352, 1268, 11349, 11301, 11264])).
% 48.89/31.37 tff(11354,plain,
% 48.89/31.37 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB87) | (~v145(constB87)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB87) | (~v145(constB87)))),
% 48.89/31.37 inference(rewrite,[status(thm)],[])).
% 48.89/31.37 tff(11355,plain,
% 48.89/31.37 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB87) | (~v145(constB87)))),
% 48.89/31.37 inference(quant_inst,[status(thm)],[])).
% 48.89/31.37 tff(11356,plain,
% 48.89/31.37 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB87) | (~v145(constB87))),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11355, 11354])).
% 48.89/31.38 tff(11357,plain,
% 48.89/31.38 (v112(constB87)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11356, 1253, 11353])).
% 48.89/31.38 tff(11358,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB87) | (~v112(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11359,plain,
% 48.89/31.38 (((~v112(constB87)) | v111(constB87)) <=> (v111(constB87) | (~v112(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11360,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB87)) | v111(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB87) | (~v112(constB87))))),
% 48.89/31.38 inference(monotonicity,[status(thm)],[11359])).
% 48.89/31.38 tff(11361,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB87)) | v111(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB87) | (~v112(constB87)))),
% 48.89/31.38 inference(transitivity,[status(thm)],[11360, 11358])).
% 48.89/31.38 tff(11362,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB87)) | v111(constB87))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11363,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB87) | (~v112(constB87))),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11362, 11361])).
% 48.89/31.38 tff(11364,plain,
% 48.89/31.38 (v111(constB87)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11363, 278, 11357])).
% 48.89/31.38 tff(11365,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB87) | (~v111(constB87)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB87) | (~v111(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11366,plain,
% 48.89/31.38 (((~v111(constB87)) | v110(constB87)) <=> (v110(constB87) | (~v111(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11367,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB87)) | v110(constB87))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB87) | (~v111(constB87))))),
% 48.89/31.38 inference(monotonicity,[status(thm)],[11366])).
% 48.89/31.38 tff(11368,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB87)) | v110(constB87))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB87) | (~v111(constB87)))),
% 48.89/31.38 inference(transitivity,[status(thm)],[11367, 11365])).
% 48.89/31.38 tff(11369,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB87)) | v110(constB87))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11370,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB87) | (~v111(constB87))),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11369, 11368])).
% 48.89/31.38 tff(11371,plain,
% 48.89/31.38 (v110(constB87)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11370, 292, 11364])).
% 48.89/31.38 tff(11372,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB87) | (~v110(constB87)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB87) | (~v110(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11373,plain,
% 48.89/31.38 (((~v110(constB87)) | v109(constB87)) <=> (v109(constB87) | (~v110(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11374,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB87)) | v109(constB87))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB87) | (~v110(constB87))))),
% 48.89/31.38 inference(monotonicity,[status(thm)],[11373])).
% 48.89/31.38 tff(11375,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB87)) | v109(constB87))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB87) | (~v110(constB87)))),
% 48.89/31.38 inference(transitivity,[status(thm)],[11374, 11372])).
% 48.89/31.38 tff(11376,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB87)) | v109(constB87))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11377,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB87) | (~v110(constB87))),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11376, 11375])).
% 48.89/31.38 tff(11378,plain,
% 48.89/31.38 (v109(constB87)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11377, 306, 11371])).
% 48.89/31.38 tff(11379,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v109(constB87)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v109(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11380,plain,
% 48.89/31.38 (((~v109(constB87)) | v108(constB87)) <=> (v108(constB87) | (~v109(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11381,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v109(constB87))))),
% 48.89/31.38 inference(monotonicity,[status(thm)],[11380])).
% 48.89/31.38 tff(11382,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v109(constB87)))),
% 48.89/31.38 inference(transitivity,[status(thm)],[11381, 11379])).
% 48.89/31.38 tff(11383,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB87)) | v108(constB87))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11384,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v109(constB87))),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11383, 11382])).
% 48.89/31.38 tff(11385,plain,
% 48.89/31.38 (v108(constB87)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11384, 320, 11378])).
% 48.89/31.38 tff(11386,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB87) | (~v108(constB87)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB87) | (~v108(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11387,plain,
% 48.89/31.38 (((~v108(constB87)) | v107(constB87)) <=> (v107(constB87) | (~v108(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11388,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB87)) | v107(constB87))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB87) | (~v108(constB87))))),
% 48.89/31.38 inference(monotonicity,[status(thm)],[11387])).
% 48.89/31.38 tff(11389,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB87)) | v107(constB87))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB87) | (~v108(constB87)))),
% 48.89/31.38 inference(transitivity,[status(thm)],[11388, 11386])).
% 48.89/31.38 tff(11390,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB87)) | v107(constB87))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11391,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB87) | (~v108(constB87))),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11390, 11389])).
% 48.89/31.38 tff(11392,plain,
% 48.89/31.38 (v107(constB87)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11391, 334, 11385])).
% 48.89/31.38 tff(11393,assumption,(v26(constB87)), introduced(assumption)).
% 48.89/31.38 tff(11394,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB87))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11395,plain,
% 48.89/31.38 ($false),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11394, 55, 11393])).
% 48.89/31.38 tff(11396,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 48.89/31.38 tff(11397,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | v106(constB87) | (~v107(constB87)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11398,plain,
% 48.89/31.38 ((v26(constB87) | (~v107(constB87)) | v106(constB87)) <=> (v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11399,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | v106(constB87) | (~v107(constB87))))),
% 48.89/31.38 inference(monotonicity,[status(thm)],[11398])).
% 48.89/31.38 tff(11400,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 48.89/31.38 inference(transitivity,[status(thm)],[11399, 11397])).
% 48.89/31.38 tff(11401,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11402,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87))),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11401, 11400])).
% 48.89/31.38 tff(11403,plain,
% 48.89/31.38 (v106(constB87) | (~v107(constB87))),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11402, 348, 11396])).
% 48.89/31.38 tff(11404,plain,
% 48.89/31.38 (v106(constB87)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11403, 11392])).
% 48.89/31.38 tff(11405,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB87) | (~v106(constB87)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB87) | (~v106(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11406,plain,
% 48.89/31.38 (((~v106(constB87)) | v102(constB87)) <=> (v102(constB87) | (~v106(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11407,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB87)) | v102(constB87))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB87) | (~v106(constB87))))),
% 48.89/31.38 inference(monotonicity,[status(thm)],[11406])).
% 48.89/31.38 tff(11408,plain,
% 48.89/31.38 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB87)) | v102(constB87))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB87) | (~v106(constB87)))),
% 48.89/31.38 inference(transitivity,[status(thm)],[11407, 11405])).
% 48.89/31.38 tff(11409,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB87)) | v102(constB87))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11410,plain,
% 48.89/31.38 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB87) | (~v106(constB87))),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11409, 11408])).
% 48.89/31.38 tff(11411,plain,
% 48.89/31.38 (v102(constB87)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11410, 504, 11404])).
% 48.89/31.38 tff(11412,plain,
% 48.89/31.38 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11413,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 48.89/31.38 tff(11414,plain,
% 48.89/31.38 (nextState(constB87, constB88)),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11413, 11412])).
% 48.89/31.38 tff(11415,plain,
% 48.89/31.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11416,plain,
% 48.89/31.38 (((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88)) <=> ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11417,plain,
% 48.89/31.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87))))),
% 48.89/31.38 inference(monotonicity,[status(thm)],[11416])).
% 48.89/31.38 tff(11418,plain,
% 48.89/31.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 48.89/31.38 inference(transitivity,[status(thm)],[11417, 11415])).
% 48.89/31.38 tff(11419,plain,
% 48.89/31.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11420,plain,
% 48.89/31.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87))),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11419, 11418])).
% 48.89/31.38 tff(11421,plain,
% 48.89/31.38 (v104(constB88) | (~v102(constB87))),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11420, 489, 11414])).
% 48.89/31.38 tff(11422,plain,
% 48.89/31.38 (v104(constB88)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11421, 11411])).
% 48.89/31.38 tff(11423,plain,
% 48.89/31.38 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11424,plain,
% 48.89/31.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11425,plain,
% 48.89/31.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88))),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11424, 11423])).
% 48.89/31.38 tff(11426,plain,
% 48.89/31.38 (~v98(constB88)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11425, 423, 11414, 11240])).
% 48.89/31.38 tff(11427,plain,
% 48.89/31.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11428,plain,
% 48.89/31.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11429,plain,
% 48.89/31.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB87, constB88)) | v96(constB88) | v98(constB88)),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 48.89/31.38 tff(11430,plain,
% 48.89/31.38 (v96(constB88) | v98(constB88)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11429, 437, 11414])).
% 48.89/31.38 tff(11431,plain,
% 48.89/31.38 (v96(constB88)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11430, 11426])).
% 48.89/31.38 tff(11432,plain,
% 48.89/31.38 (v1(constB88) <=> v1(constB88)),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11433,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 48.89/31.38 tff(11434,plain,
% 48.89/31.38 (v1(constB88)),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11433, 11432])).
% 48.89/31.38 tff(11435,plain,
% 48.89/31.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11436,plain,
% 48.89/31.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11437,plain,
% 48.89/31.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88))),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11436, 11435])).
% 48.89/31.38 tff(11438,plain,
% 48.89/31.38 (v95(constB88) | (~v96(constB88))),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11437, 455, 11414, 11434])).
% 48.89/31.38 tff(11439,plain,
% 48.89/31.38 (v95(constB88)),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11438, 11431])).
% 48.89/31.38 tff(11440,plain,
% 48.89/31.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11441,plain,
% 48.89/31.38 (((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88)) <=> ((~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))),
% 48.89/31.38 inference(rewrite,[status(thm)],[])).
% 48.89/31.38 tff(11442,plain,
% 48.89/31.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88))))),
% 48.89/31.38 inference(monotonicity,[status(thm)],[11441])).
% 48.89/31.38 tff(11443,plain,
% 48.89/31.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))),
% 48.89/31.38 inference(transitivity,[status(thm)],[11442, 11440])).
% 48.89/31.38 tff(11444,plain,
% 48.89/31.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))),
% 48.89/31.38 inference(quant_inst,[status(thm)],[])).
% 48.89/31.38 tff(11445,plain,
% 48.89/31.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88))),
% 48.89/31.38 inference(modus_ponens,[status(thm)],[11444, 11443])).
% 48.89/31.38 tff(11446,plain,
% 48.89/31.38 (v94(constB88) | (~v95(constB88)) | (~v104(constB88))),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11445, 470, 11414])).
% 48.89/31.38 tff(11447,plain,
% 48.89/31.38 (v94(constB88) | (~v104(constB88))),
% 48.89/31.38 inference(unit_resolution,[status(thm)],[11446, 11439])).
% 48.89/31.39 tff(11448,plain,
% 48.89/31.39 (v94(constB88)),
% 48.89/31.39 inference(unit_resolution,[status(thm)],[11447, 11422])).
% 48.89/31.39 tff(11449,plain,
% 48.89/31.39 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB87)) | (~v124(constB87, bitIndex2)))),
% 48.89/31.39 inference(rewrite,[status(thm)],[])).
% 48.89/31.39 tff(11450,plain,
% 48.89/31.39 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex2)))),
% 48.89/31.39 inference(quant_inst,[status(thm)],[])).
% 48.89/31.39 tff(11451,plain,
% 48.89/31.39 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB87)) | (~v124(constB87, bitIndex2))),
% 48.89/31.39 inference(modus_ponens,[status(thm)],[11450, 11449])).
% 48.89/31.39 tff(11452,plain,
% 48.89/31.39 (~v124(constB87, bitIndex2)),
% 48.89/31.39 inference(unit_resolution,[status(thm)],[11451, 1456, 11353])).
% 48.89/31.39 tff(11453,plain,
% 48.89/31.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))),
% 48.89/31.39 inference(rewrite,[status(thm)],[])).
% 48.89/31.39 tff(11454,plain,
% 48.89/31.39 ((v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2))) <=> ((~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))),
% 48.89/31.39 inference(rewrite,[status(thm)],[])).
% 48.89/31.39 tff(11455,plain,
% 48.89/31.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2)))),
% 48.89/31.39 inference(monotonicity,[status(thm)],[11454])).
% 48.89/31.39 tff(11456,plain,
% 48.89/31.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))),
% 48.89/31.39 inference(transitivity,[status(thm)],[11455, 11453])).
% 48.89/31.39 tff(11457,plain,
% 48.89/31.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))),
% 48.89/31.39 inference(quant_inst,[status(thm)],[])).
% 48.89/31.39 tff(11458,plain,
% 48.89/31.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2)),
% 48.89/31.39 inference(modus_ponens,[status(thm)],[11457, 11456])).
% 48.89/31.39 tff(11459,plain,
% 48.89/31.39 ((~v121(constB87, bitIndex2)) | v124(constB87, bitIndex2)),
% 48.89/31.39 inference(unit_resolution,[status(thm)],[11458, 1187, 11396])).
% 48.89/31.39 tff(11460,plain,
% 48.89/31.39 (~v121(constB87, bitIndex2)),
% 48.89/31.39 inference(unit_resolution,[status(thm)],[11459, 11452])).
% 48.89/31.39 tff(11461,plain,
% 48.89/31.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2)))),
% 48.89/31.39 inference(rewrite,[status(thm)],[])).
% 48.89/31.39 tff(11462,plain,
% 48.89/31.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2)))),
% 48.89/31.39 inference(quant_inst,[status(thm)],[])).
% 48.89/31.39 tff(11463,plain,
% 48.89/31.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2))),
% 48.89/31.39 inference(modus_ponens,[status(thm)],[11462, 11461])).
% 48.89/31.39 tff(11464,plain,
% 48.89/31.39 (v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2))),
% 48.89/31.39 inference(unit_resolution,[status(thm)],[11463, 1205, 11414])).
% 48.89/31.39 tff(11465,plain,
% 48.89/31.39 (~v123(constB88, bitIndex2)),
% 48.89/31.39 inference(unit_resolution,[status(thm)],[11464, 11460])).
% 48.89/31.39 tff(11466,plain,
% 48.89/31.39 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))),
% 48.89/31.39 inference(rewrite,[status(thm)],[])).
% 48.89/31.39 tff(11467,plain,
% 48.89/31.39 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))),
% 48.89/31.39 inference(quant_inst,[status(thm)],[])).
% 48.89/31.39 tff(11468,plain,
% 48.89/31.39 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88))),
% 48.89/31.39 inference(modus_ponens,[status(thm)],[11467, 11466])).
% 48.89/31.39 tff(11469,plain,
% 48.89/31.39 ((~v84(constB88, bitIndex2)) | (~v94(constB88))),
% 48.89/31.39 inference(unit_resolution,[status(thm)],[11468, 1220, 11465])).
% 48.89/31.39 tff(11470,plain,
% 48.89/31.39 (~v84(constB88, bitIndex2)),
% 48.89/31.39 inference(unit_resolution,[status(thm)],[11469, 11448])).
% 48.89/31.39 tff(11471,plain,
% 48.89/31.39 ((~v1(constB89)) <=> (~v1(constB89))),
% 48.89/31.39 inference(rewrite,[status(thm)],[])).
% 48.89/31.39 tff(11472,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 48.89/31.39 tff(11473,plain,
% 48.89/31.39 (~v1(constB89)),
% 48.89/31.39 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 48.89/31.39 tff(11474,plain,
% 48.89/31.39 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 48.89/31.39 inference(rewrite,[status(thm)],[])).
% 48.89/31.39 tff(11475,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 48.89/31.39 tff(11476,plain,
% 48.89/31.39 (nextState(constB88, constB89)),
% 48.89/31.39 inference(modus_ponens,[status(thm)],[11475, 11474])).
% 48.89/31.39 tff(11477,plain,
% 48.89/31.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 48.89/31.39 inference(rewrite,[status(thm)],[])).
% 48.89/31.39 tff(11478,plain,
% 48.89/31.39 (((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 48.89/31.39 inference(rewrite,[status(thm)],[])).
% 48.89/31.39 tff(11479,plain,
% 48.89/31.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89))))),
% 48.89/31.39 inference(monotonicity,[status(thm)],[11478])).
% 48.89/31.39 tff(11480,plain,
% 48.89/31.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 48.89/31.39 inference(transitivity,[status(thm)],[11479, 11477])).
% 48.89/31.39 tff(11481,plain,
% 48.89/31.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))),
% 48.89/31.39 inference(quant_inst,[status(thm)],[])).
% 48.89/31.39 tff(11482,plain,
% 48.89/31.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89))),
% 48.89/31.39 inference(modus_ponens,[status(thm)],[11481, 11480])).
% 48.89/31.39 tff(11483,plain,
% 48.89/31.39 (~v95(constB89)),
% 48.89/31.39 inference(unit_resolution,[status(thm)],[11482, 110, 11476, 11473])).
% 48.89/31.39 tff(11484,plain,
% 48.89/31.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))),
% 48.89/31.39 inference(rewrite,[status(thm)],[])).
% 48.89/31.39 tff(11485,plain,
% 48.89/31.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))),
% 48.89/31.39 inference(quant_inst,[status(thm)],[])).
% 48.89/31.39 tff(11486,plain,
% 48.89/31.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89))),
% 48.89/31.39 inference(modus_ponens,[status(thm)],[11485, 11484])).
% 48.89/31.39 tff(11487,plain,
% 48.89/31.39 (v95(constB89) | (~v94(constB89))),
% 48.89/31.39 inference(unit_resolution,[status(thm)],[11486, 127, 11476])).
% 48.89/31.39 tff(11488,plain,
% 48.89/31.39 (~v94(constB89)),
% 48.89/31.39 inference(unit_resolution,[status(thm)],[11487, 11483])).
% 48.89/31.39 tff(11489,plain,
% 48.89/31.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 48.89/31.39 inference(rewrite,[status(thm)],[])).
% 48.89/31.39 tff(11490,plain,
% 48.89/31.39 (((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2))) <=> (v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 48.89/31.39 inference(rewrite,[status(thm)],[])).
% 48.89/31.39 tff(11491,plain,
% 48.89/31.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2))))),
% 48.89/31.39 inference(monotonicity,[status(thm)],[11490])).
% 48.89/31.39 tff(11492,plain,
% 48.89/31.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 48.89/31.39 inference(transitivity,[status(thm)],[11491, 11489])).
% 48.89/31.39 tff(11493,plain,
% 48.89/31.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 48.89/31.40 inference(quant_inst,[status(thm)],[])).
% 48.89/31.40 tff(11494,plain,
% 48.89/31.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2))),
% 48.89/31.40 inference(modus_ponens,[status(thm)],[11493, 11492])).
% 48.89/31.40 tff(11495,plain,
% 48.89/31.40 (v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2))),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11494, 142, 11476])).
% 48.89/31.40 tff(11496,plain,
% 48.89/31.40 (v84(constB88, bitIndex2) | (~v84(constB89, bitIndex2))),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11495, 11488])).
% 48.89/31.40 tff(11497,plain,
% 48.89/31.40 (~v84(constB89, bitIndex2)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11496, 11470])).
% 48.89/31.40 tff(11498,plain,
% 48.89/31.40 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB87)) | v124(constB87, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB87)) | v124(constB87, bitIndex1))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11499,plain,
% 48.89/31.40 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB87)) | v124(constB87, bitIndex1))),
% 48.89/31.40 inference(quant_inst,[status(thm)],[])).
% 48.89/31.40 tff(11500,plain,
% 48.89/31.40 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB87)) | v124(constB87, bitIndex1)),
% 48.89/31.40 inference(modus_ponens,[status(thm)],[11499, 11498])).
% 48.89/31.40 tff(11501,plain,
% 48.89/31.40 (v124(constB87, bitIndex1)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11500, 1512, 11353])).
% 48.89/31.40 tff(11502,plain,
% 48.89/31.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11503,plain,
% 48.89/31.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))),
% 48.89/31.40 inference(quant_inst,[status(thm)],[])).
% 48.89/31.40 tff(11504,plain,
% 48.89/31.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1)),
% 48.89/31.40 inference(modus_ponens,[status(thm)],[11503, 11502])).
% 48.89/31.40 tff(11505,plain,
% 48.89/31.40 ((~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11504, 857, 11396])).
% 48.89/31.40 tff(11506,plain,
% 48.89/31.40 (v121(constB87, bitIndex1)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11505, 11501])).
% 48.89/31.40 tff(11507,plain,
% 48.89/31.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11508,plain,
% 48.89/31.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1))),
% 48.89/31.40 inference(quant_inst,[status(thm)],[])).
% 48.89/31.40 tff(11509,plain,
% 48.89/31.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1)),
% 48.89/31.40 inference(modus_ponens,[status(thm)],[11508, 11507])).
% 48.89/31.40 tff(11510,plain,
% 48.89/31.40 ((~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11509, 872, 11414])).
% 48.89/31.40 tff(11511,plain,
% 48.89/31.40 (v123(constB88, bitIndex1)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11510, 11506])).
% 48.89/31.40 tff(11512,plain,
% 48.89/31.40 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11513,plain,
% 48.89/31.40 ((v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1))) <=> (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11514,plain,
% 48.89/31.40 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88))))),
% 48.89/31.40 inference(monotonicity,[status(thm)],[11513])).
% 48.89/31.40 tff(11515,plain,
% 48.89/31.40 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))),
% 48.89/31.40 inference(transitivity,[status(thm)],[11514, 11512])).
% 48.89/31.40 tff(11516,plain,
% 48.89/31.40 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1)))),
% 48.89/31.40 inference(quant_inst,[status(thm)],[])).
% 48.89/31.40 tff(11517,plain,
% 48.89/31.40 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88))),
% 48.89/31.40 inference(modus_ponens,[status(thm)],[11516, 11515])).
% 48.89/31.40 tff(11518,plain,
% 48.89/31.40 (v84(constB88, bitIndex1) | (~v94(constB88))),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11517, 887, 11511])).
% 48.89/31.40 tff(11519,plain,
% 48.89/31.40 (v84(constB88, bitIndex1)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11518, 11448])).
% 48.89/31.40 tff(11520,plain,
% 48.89/31.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11521,plain,
% 48.89/31.40 (((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1)) <=> ((~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11522,plain,
% 48.89/31.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1)))),
% 48.89/31.40 inference(monotonicity,[status(thm)],[11521])).
% 48.89/31.40 tff(11523,plain,
% 48.89/31.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))),
% 48.89/31.40 inference(transitivity,[status(thm)],[11522, 11520])).
% 48.89/31.40 tff(11524,plain,
% 48.89/31.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1))),
% 48.89/31.40 inference(quant_inst,[status(thm)],[])).
% 48.89/31.40 tff(11525,plain,
% 48.89/31.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1)),
% 48.89/31.40 inference(modus_ponens,[status(thm)],[11524, 11523])).
% 48.89/31.40 tff(11526,plain,
% 48.89/31.40 ((~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11525, 905, 11476])).
% 48.89/31.40 tff(11527,plain,
% 48.89/31.40 ((~v84(constB88, bitIndex1)) | v84(constB89, bitIndex1)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11526, 11488])).
% 48.89/31.40 tff(11528,plain,
% 48.89/31.40 (v84(constB89, bitIndex1)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11527, 11519])).
% 48.89/31.40 tff(11529,plain,
% 48.89/31.40 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB87)) | (~v124(constB87, bitIndex0)))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11530,plain,
% 48.89/31.40 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex0)))),
% 48.89/31.40 inference(quant_inst,[status(thm)],[])).
% 48.89/31.40 tff(11531,plain,
% 48.89/31.40 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB87)) | (~v124(constB87, bitIndex0))),
% 48.89/31.40 inference(modus_ponens,[status(thm)],[11530, 11529])).
% 48.89/31.40 tff(11532,plain,
% 48.89/31.40 (~v124(constB87, bitIndex0)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11531, 1550, 11353])).
% 48.89/31.40 tff(11533,plain,
% 48.89/31.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11534,plain,
% 48.89/31.40 ((v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0))) <=> ((~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11535,plain,
% 48.89/31.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0)))),
% 48.89/31.40 inference(monotonicity,[status(thm)],[11534])).
% 48.89/31.40 tff(11536,plain,
% 48.89/31.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))),
% 48.89/31.40 inference(transitivity,[status(thm)],[11535, 11533])).
% 48.89/31.40 tff(11537,plain,
% 48.89/31.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))),
% 48.89/31.40 inference(quant_inst,[status(thm)],[])).
% 48.89/31.40 tff(11538,plain,
% 48.89/31.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0)),
% 48.89/31.40 inference(modus_ponens,[status(thm)],[11537, 11536])).
% 48.89/31.40 tff(11539,plain,
% 48.89/31.40 ((~v121(constB87, bitIndex0)) | v124(constB87, bitIndex0)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11538, 607, 11396])).
% 48.89/31.40 tff(11540,plain,
% 48.89/31.40 (~v121(constB87, bitIndex0)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11539, 11532])).
% 48.89/31.40 tff(11541,plain,
% 48.89/31.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0)))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11542,plain,
% 48.89/31.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0)))),
% 48.89/31.40 inference(quant_inst,[status(thm)],[])).
% 48.89/31.40 tff(11543,plain,
% 48.89/31.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0))),
% 48.89/31.40 inference(modus_ponens,[status(thm)],[11542, 11541])).
% 48.89/31.40 tff(11544,plain,
% 48.89/31.40 (v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0))),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11543, 637, 11414])).
% 48.89/31.40 tff(11545,plain,
% 48.89/31.40 (~v123(constB88, bitIndex0)),
% 48.89/31.40 inference(unit_resolution,[status(thm)],[11544, 11540])).
% 48.89/31.40 tff(11546,plain,
% 48.89/31.40 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11547,plain,
% 48.89/31.40 (((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0)) <=> ((~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))),
% 48.89/31.40 inference(rewrite,[status(thm)],[])).
% 48.89/31.40 tff(11548,plain,
% 48.89/31.40 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88))))),
% 48.89/31.40 inference(monotonicity,[status(thm)],[11547])).
% 48.89/31.40 tff(11549,plain,
% 48.89/31.40 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))),
% 48.89/31.40 inference(transitivity,[status(thm)],[11548, 11546])).
% 48.89/31.40 tff(11550,plain,
% 48.89/31.40 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0))),
% 48.89/31.40 inference(quant_inst,[status(thm)],[])).
% 48.89/31.40 tff(11551,plain,
% 48.89/31.40 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88))),
% 48.89/31.41 inference(modus_ponens,[status(thm)],[11550, 11549])).
% 48.89/31.41 tff(11552,plain,
% 48.89/31.41 ((~v84(constB88, bitIndex0)) | (~v94(constB88))),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11551, 652, 11545])).
% 48.89/31.41 tff(11553,plain,
% 48.89/31.41 (~v84(constB88, bitIndex0)),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11552, 11448])).
% 48.89/31.41 tff(11554,plain,
% 48.89/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11555,plain,
% 48.89/31.41 (((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0))) <=> (v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11556,plain,
% 48.89/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0))))),
% 48.89/31.41 inference(monotonicity,[status(thm)],[11555])).
% 48.89/31.41 tff(11557,plain,
% 48.89/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 48.89/31.41 inference(transitivity,[status(thm)],[11556, 11554])).
% 48.89/31.41 tff(11558,plain,
% 48.89/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 48.89/31.41 inference(quant_inst,[status(thm)],[])).
% 48.89/31.41 tff(11559,plain,
% 48.89/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0))),
% 48.89/31.41 inference(modus_ponens,[status(thm)],[11558, 11557])).
% 48.89/31.41 tff(11560,plain,
% 48.89/31.41 (v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0))),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11559, 184, 11476])).
% 48.89/31.41 tff(11561,plain,
% 48.89/31.41 (v84(constB88, bitIndex0) | (~v84(constB89, bitIndex0))),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11560, 11488])).
% 48.89/31.41 tff(11562,plain,
% 48.89/31.41 (~v84(constB89, bitIndex0)),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11561, 11553])).
% 48.89/31.41 tff(11563,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11564,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))),
% 48.89/31.41 inference(quant_inst,[status(thm)],[])).
% 48.89/31.41 tff(11565,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89)),
% 48.89/31.41 inference(modus_ponens,[status(thm)],[11564, 11563])).
% 48.89/31.41 tff(11566,plain,
% 48.89/31.41 (v115(constB89)),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11565, 1594, 11562, 11528, 11497])).
% 48.89/31.41 tff(11567,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB89) | (~v115(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11568,plain,
% 48.89/31.41 (((~v115(constB89)) | v111(constB89)) <=> (v111(constB89) | (~v115(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11569,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB89)) | v111(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB89) | (~v115(constB89))))),
% 48.89/31.41 inference(monotonicity,[status(thm)],[11568])).
% 48.89/31.41 tff(11570,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB89)) | v111(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB89) | (~v115(constB89)))),
% 48.89/31.41 inference(transitivity,[status(thm)],[11569, 11567])).
% 48.89/31.41 tff(11571,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB89)) | v111(constB89))),
% 48.89/31.41 inference(quant_inst,[status(thm)],[])).
% 48.89/31.41 tff(11572,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB89) | (~v115(constB89))),
% 48.89/31.41 inference(modus_ponens,[status(thm)],[11571, 11570])).
% 48.89/31.41 tff(11573,plain,
% 48.89/31.41 (v111(constB89)),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11572, 1605, 11566])).
% 48.89/31.41 tff(11574,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB89) | (~v111(constB89)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB89) | (~v111(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11575,plain,
% 48.89/31.41 (((~v111(constB89)) | v110(constB89)) <=> (v110(constB89) | (~v111(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11576,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB89)) | v110(constB89))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB89) | (~v111(constB89))))),
% 48.89/31.41 inference(monotonicity,[status(thm)],[11575])).
% 48.89/31.41 tff(11577,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB89)) | v110(constB89))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB89) | (~v111(constB89)))),
% 48.89/31.41 inference(transitivity,[status(thm)],[11576, 11574])).
% 48.89/31.41 tff(11578,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB89)) | v110(constB89))),
% 48.89/31.41 inference(quant_inst,[status(thm)],[])).
% 48.89/31.41 tff(11579,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB89) | (~v111(constB89))),
% 48.89/31.41 inference(modus_ponens,[status(thm)],[11578, 11577])).
% 48.89/31.41 tff(11580,plain,
% 48.89/31.41 (v110(constB89)),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11579, 292, 11573])).
% 48.89/31.41 tff(11581,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB89) | (~v110(constB89)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB89) | (~v110(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11582,plain,
% 48.89/31.41 (((~v110(constB89)) | v109(constB89)) <=> (v109(constB89) | (~v110(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11583,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB89)) | v109(constB89))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB89) | (~v110(constB89))))),
% 48.89/31.41 inference(monotonicity,[status(thm)],[11582])).
% 48.89/31.41 tff(11584,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB89)) | v109(constB89))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB89) | (~v110(constB89)))),
% 48.89/31.41 inference(transitivity,[status(thm)],[11583, 11581])).
% 48.89/31.41 tff(11585,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB89)) | v109(constB89))),
% 48.89/31.41 inference(quant_inst,[status(thm)],[])).
% 48.89/31.41 tff(11586,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB89) | (~v110(constB89))),
% 48.89/31.41 inference(modus_ponens,[status(thm)],[11585, 11584])).
% 48.89/31.41 tff(11587,plain,
% 48.89/31.41 (v109(constB89)),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11586, 306, 11580])).
% 48.89/31.41 tff(11588,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB89)) | v108(constB89))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11589,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB89)) | v108(constB89))),
% 48.89/31.41 inference(quant_inst,[status(thm)],[])).
% 48.89/31.41 tff(11590,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB89)) | v108(constB89)),
% 48.89/31.41 inference(modus_ponens,[status(thm)],[11589, 11588])).
% 48.89/31.41 tff(11591,plain,
% 48.89/31.41 (v108(constB89)),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11590, 320, 11587])).
% 48.89/31.41 tff(11592,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB89) | (~v108(constB89)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB89) | (~v108(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11593,plain,
% 48.89/31.41 (((~v108(constB89)) | v107(constB89)) <=> (v107(constB89) | (~v108(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11594,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB89)) | v107(constB89))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB89) | (~v108(constB89))))),
% 48.89/31.41 inference(monotonicity,[status(thm)],[11593])).
% 48.89/31.41 tff(11595,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB89)) | v107(constB89))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB89) | (~v108(constB89)))),
% 48.89/31.41 inference(transitivity,[status(thm)],[11594, 11592])).
% 48.89/31.41 tff(11596,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB89)) | v107(constB89))),
% 48.89/31.41 inference(quant_inst,[status(thm)],[])).
% 48.89/31.41 tff(11597,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB89) | (~v108(constB89))),
% 48.89/31.41 inference(modus_ponens,[status(thm)],[11596, 11595])).
% 48.89/31.41 tff(11598,plain,
% 48.89/31.41 (v107(constB89)),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11597, 334, 11591])).
% 48.89/31.41 tff(11599,assumption,(v26(constB89)), introduced(assumption)).
% 48.89/31.41 tff(11600,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB89))),
% 48.89/31.41 inference(quant_inst,[status(thm)],[])).
% 48.89/31.41 tff(11601,plain,
% 48.89/31.41 ($false),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11600, 55, 11599])).
% 48.89/31.41 tff(11602,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 48.89/31.41 tff(11603,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | v106(constB89) | (~v107(constB89)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | v106(constB89) | (~v107(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11604,plain,
% 48.89/31.41 ((v26(constB89) | (~v107(constB89)) | v106(constB89)) <=> (v26(constB89) | v106(constB89) | (~v107(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11605,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | v106(constB89) | (~v107(constB89))))),
% 48.89/31.41 inference(monotonicity,[status(thm)],[11604])).
% 48.89/31.41 tff(11606,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | v106(constB89) | (~v107(constB89)))),
% 48.89/31.41 inference(transitivity,[status(thm)],[11605, 11603])).
% 48.89/31.41 tff(11607,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))),
% 48.89/31.41 inference(quant_inst,[status(thm)],[])).
% 48.89/31.41 tff(11608,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | v106(constB89) | (~v107(constB89))),
% 48.89/31.41 inference(modus_ponens,[status(thm)],[11607, 11606])).
% 48.89/31.41 tff(11609,plain,
% 48.89/31.41 (v106(constB89) | (~v107(constB89))),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11608, 348, 11602])).
% 48.89/31.41 tff(11610,plain,
% 48.89/31.41 (v106(constB89)),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11609, 11598])).
% 48.89/31.41 tff(11611,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB89) | (~v106(constB89)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB89) | (~v106(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11612,plain,
% 48.89/31.41 (((~v106(constB89)) | v102(constB89)) <=> (v102(constB89) | (~v106(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11613,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB89)) | v102(constB89))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB89) | (~v106(constB89))))),
% 48.89/31.41 inference(monotonicity,[status(thm)],[11612])).
% 48.89/31.41 tff(11614,plain,
% 48.89/31.41 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB89)) | v102(constB89))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB89) | (~v106(constB89)))),
% 48.89/31.41 inference(transitivity,[status(thm)],[11613, 11611])).
% 48.89/31.41 tff(11615,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB89)) | v102(constB89))),
% 48.89/31.41 inference(quant_inst,[status(thm)],[])).
% 48.89/31.41 tff(11616,plain,
% 48.89/31.41 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB89) | (~v106(constB89))),
% 48.89/31.41 inference(modus_ponens,[status(thm)],[11615, 11614])).
% 48.89/31.41 tff(11617,plain,
% 48.89/31.41 (v102(constB89)),
% 48.89/31.41 inference(unit_resolution,[status(thm)],[11616, 504, 11610])).
% 48.89/31.41 tff(11618,plain,
% 48.89/31.41 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11619,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 48.89/31.41 tff(11620,plain,
% 48.89/31.41 (nextState(constB89, constB90)),
% 48.89/31.41 inference(modus_ponens,[status(thm)],[11619, 11618])).
% 48.89/31.41 tff(11621,plain,
% 48.89/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11622,plain,
% 48.89/31.41 (((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90)) <=> ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 48.89/31.41 inference(rewrite,[status(thm)],[])).
% 48.89/31.41 tff(11623,plain,
% 48.89/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89))))),
% 48.89/31.41 inference(monotonicity,[status(thm)],[11622])).
% 48.89/31.41 tff(11624,plain,
% 48.89/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 48.89/31.41 inference(transitivity,[status(thm)],[11623, 11621])).
% 48.89/31.41 tff(11625,plain,
% 48.89/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))),
% 48.89/31.41 inference(quant_inst,[status(thm)],[])).
% 48.89/31.41 tff(11626,plain,
% 48.89/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89))),
% 48.89/31.42 inference(modus_ponens,[status(thm)],[11625, 11624])).
% 48.89/31.42 tff(11627,plain,
% 48.89/31.42 (v104(constB90) | (~v102(constB89))),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11626, 489, 11620])).
% 48.89/31.42 tff(11628,plain,
% 48.89/31.42 (v104(constB90)),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11627, 11617])).
% 48.89/31.42 tff(11629,plain,
% 48.89/31.42 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11630,plain,
% 48.89/31.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))),
% 48.89/31.42 inference(quant_inst,[status(thm)],[])).
% 48.89/31.42 tff(11631,plain,
% 48.89/31.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90))),
% 48.89/31.42 inference(modus_ponens,[status(thm)],[11630, 11629])).
% 48.89/31.42 tff(11632,plain,
% 48.89/31.42 (~v98(constB90)),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11631, 423, 11620, 11473])).
% 48.89/31.42 tff(11633,plain,
% 48.89/31.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11634,plain,
% 48.89/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))),
% 48.89/31.42 inference(quant_inst,[status(thm)],[])).
% 48.89/31.42 tff(11635,plain,
% 48.89/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB89, constB90)) | v96(constB90) | v98(constB90)),
% 48.89/31.42 inference(modus_ponens,[status(thm)],[11634, 11633])).
% 48.89/31.42 tff(11636,plain,
% 48.89/31.42 (v96(constB90) | v98(constB90)),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11635, 437, 11620])).
% 48.89/31.42 tff(11637,plain,
% 48.89/31.42 (v96(constB90)),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11636, 11632])).
% 48.89/31.42 tff(11638,plain,
% 48.89/31.42 (v1(constB90) <=> v1(constB90)),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11639,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 48.89/31.42 tff(11640,plain,
% 48.89/31.42 (v1(constB90)),
% 48.89/31.42 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 48.89/31.42 tff(11641,plain,
% 48.89/31.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11642,plain,
% 48.89/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))),
% 48.89/31.42 inference(quant_inst,[status(thm)],[])).
% 48.89/31.42 tff(11643,plain,
% 48.89/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90))),
% 48.89/31.42 inference(modus_ponens,[status(thm)],[11642, 11641])).
% 48.89/31.42 tff(11644,plain,
% 48.89/31.42 (v95(constB90) | (~v96(constB90))),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11643, 455, 11620, 11640])).
% 48.89/31.42 tff(11645,plain,
% 48.89/31.42 (v95(constB90)),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11644, 11637])).
% 48.89/31.42 tff(11646,plain,
% 48.89/31.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11647,plain,
% 48.89/31.42 (((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90)) <=> ((~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11648,plain,
% 48.89/31.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90))))),
% 48.89/31.42 inference(monotonicity,[status(thm)],[11647])).
% 48.89/31.42 tff(11649,plain,
% 48.89/31.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))),
% 48.89/31.42 inference(transitivity,[status(thm)],[11648, 11646])).
% 48.89/31.42 tff(11650,plain,
% 48.89/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))),
% 48.89/31.42 inference(quant_inst,[status(thm)],[])).
% 48.89/31.42 tff(11651,plain,
% 48.89/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90))),
% 48.89/31.42 inference(modus_ponens,[status(thm)],[11650, 11649])).
% 48.89/31.42 tff(11652,plain,
% 48.89/31.42 (v94(constB90) | (~v95(constB90)) | (~v104(constB90))),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11651, 470, 11620])).
% 48.89/31.42 tff(11653,plain,
% 48.89/31.42 (v94(constB90) | (~v104(constB90))),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11652, 11645])).
% 48.89/31.42 tff(11654,plain,
% 48.89/31.42 (v94(constB90)),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11653, 11628])).
% 48.89/31.42 tff(11655,plain,
% 48.89/31.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB89)) | (~v124(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB89)) | (~v124(constB89, bitIndex2)))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11656,plain,
% 48.89/31.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB89)) | (~v124(constB89, bitIndex2)))),
% 48.89/31.42 inference(quant_inst,[status(thm)],[])).
% 48.89/31.42 tff(11657,plain,
% 48.89/31.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB89)) | (~v124(constB89, bitIndex2))),
% 48.89/31.42 inference(modus_ponens,[status(thm)],[11656, 11655])).
% 48.89/31.42 tff(11658,plain,
% 48.89/31.42 (~v124(constB89, bitIndex2)),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11657, 1690, 11566])).
% 48.89/31.42 tff(11659,plain,
% 48.89/31.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11660,plain,
% 48.89/31.42 ((v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2))) <=> ((~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11661,plain,
% 48.89/31.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2)))),
% 48.89/31.42 inference(monotonicity,[status(thm)],[11660])).
% 48.89/31.42 tff(11662,plain,
% 48.89/31.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))),
% 48.89/31.42 inference(transitivity,[status(thm)],[11661, 11659])).
% 48.89/31.42 tff(11663,plain,
% 48.89/31.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))),
% 48.89/31.42 inference(quant_inst,[status(thm)],[])).
% 48.89/31.42 tff(11664,plain,
% 48.89/31.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2)),
% 48.89/31.42 inference(modus_ponens,[status(thm)],[11663, 11662])).
% 48.89/31.42 tff(11665,plain,
% 48.89/31.42 ((~v121(constB89, bitIndex2)) | v124(constB89, bitIndex2)),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11664, 1187, 11602])).
% 48.89/31.42 tff(11666,plain,
% 48.89/31.42 (~v121(constB89, bitIndex2)),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11665, 11658])).
% 48.89/31.42 tff(11667,plain,
% 48.89/31.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2)))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11668,plain,
% 48.89/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2)))),
% 48.89/31.42 inference(quant_inst,[status(thm)],[])).
% 48.89/31.42 tff(11669,plain,
% 48.89/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2))),
% 48.89/31.42 inference(modus_ponens,[status(thm)],[11668, 11667])).
% 48.89/31.42 tff(11670,plain,
% 48.89/31.42 (v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2))),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11669, 1205, 11620])).
% 48.89/31.42 tff(11671,plain,
% 48.89/31.42 (~v123(constB90, bitIndex2)),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11670, 11666])).
% 48.89/31.42 tff(11672,plain,
% 48.89/31.42 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11673,plain,
% 48.89/31.42 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))),
% 48.89/31.42 inference(quant_inst,[status(thm)],[])).
% 48.89/31.42 tff(11674,plain,
% 48.89/31.42 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90))),
% 48.89/31.42 inference(modus_ponens,[status(thm)],[11673, 11672])).
% 48.89/31.42 tff(11675,plain,
% 48.89/31.42 ((~v84(constB90, bitIndex2)) | (~v94(constB90))),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11674, 1220, 11671])).
% 48.89/31.42 tff(11676,plain,
% 48.89/31.42 (~v84(constB90, bitIndex2)),
% 48.89/31.42 inference(unit_resolution,[status(thm)],[11675, 11654])).
% 48.89/31.42 tff(11677,plain,
% 48.89/31.42 ((~v1(constB91)) <=> (~v1(constB91))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11678,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 48.89/31.42 tff(11679,plain,
% 48.89/31.42 (~v1(constB91)),
% 48.89/31.42 inference(modus_ponens,[status(thm)],[11678, 11677])).
% 48.89/31.42 tff(11680,plain,
% 48.89/31.42 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11681,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 48.89/31.42 tff(11682,plain,
% 48.89/31.42 (nextState(constB90, constB91)),
% 48.89/31.42 inference(modus_ponens,[status(thm)],[11681, 11680])).
% 48.89/31.42 tff(11683,plain,
% 48.89/31.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11684,plain,
% 48.89/31.42 (((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 48.89/31.42 inference(rewrite,[status(thm)],[])).
% 48.89/31.42 tff(11685,plain,
% 48.89/31.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91))))),
% 48.89/31.42 inference(monotonicity,[status(thm)],[11684])).
% 48.89/31.42 tff(11686,plain,
% 48.89/31.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 48.89/31.42 inference(transitivity,[status(thm)],[11685, 11683])).
% 48.89/31.42 tff(11687,plain,
% 48.89/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))),
% 48.89/31.42 inference(quant_inst,[status(thm)],[])).
% 48.89/31.43 tff(11688,plain,
% 48.89/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91))),
% 48.89/31.43 inference(modus_ponens,[status(thm)],[11687, 11686])).
% 48.89/31.43 tff(11689,plain,
% 48.89/31.43 (~v95(constB91)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11688, 110, 11682, 11679])).
% 48.89/31.43 tff(11690,plain,
% 48.89/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11691,plain,
% 48.89/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))),
% 48.89/31.43 inference(quant_inst,[status(thm)],[])).
% 48.89/31.43 tff(11692,plain,
% 48.89/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91))),
% 48.89/31.43 inference(modus_ponens,[status(thm)],[11691, 11690])).
% 48.89/31.43 tff(11693,plain,
% 48.89/31.43 (v95(constB91) | (~v94(constB91))),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11692, 127, 11682])).
% 48.89/31.43 tff(11694,plain,
% 48.89/31.43 (~v94(constB91)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11693, 11689])).
% 48.89/31.43 tff(11695,plain,
% 48.89/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11696,plain,
% 48.89/31.43 (((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2))) <=> (v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11697,plain,
% 48.89/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2))))),
% 48.89/31.43 inference(monotonicity,[status(thm)],[11696])).
% 48.89/31.43 tff(11698,plain,
% 48.89/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 48.89/31.43 inference(transitivity,[status(thm)],[11697, 11695])).
% 48.89/31.43 tff(11699,plain,
% 48.89/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 48.89/31.43 inference(quant_inst,[status(thm)],[])).
% 48.89/31.43 tff(11700,plain,
% 48.89/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2))),
% 48.89/31.43 inference(modus_ponens,[status(thm)],[11699, 11698])).
% 48.89/31.43 tff(11701,plain,
% 48.89/31.43 (v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2))),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11700, 142, 11682])).
% 48.89/31.43 tff(11702,plain,
% 48.89/31.43 (v84(constB90, bitIndex2) | (~v84(constB91, bitIndex2))),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11701, 11694])).
% 48.89/31.43 tff(11703,plain,
% 48.89/31.43 (~v84(constB91, bitIndex2)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11702, 11676])).
% 48.89/31.43 tff(11704,plain,
% 48.89/31.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB89)) | v124(constB89, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB89)) | v124(constB89, bitIndex1))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11705,plain,
% 48.89/31.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB89)) | v124(constB89, bitIndex1))),
% 48.89/31.43 inference(quant_inst,[status(thm)],[])).
% 48.89/31.43 tff(11706,plain,
% 48.89/31.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB89)) | v124(constB89, bitIndex1)),
% 48.89/31.43 inference(modus_ponens,[status(thm)],[11705, 11704])).
% 48.89/31.43 tff(11707,plain,
% 48.89/31.43 (v124(constB89, bitIndex1)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11706, 1746, 11566])).
% 48.89/31.43 tff(11708,plain,
% 48.89/31.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11709,plain,
% 48.89/31.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1))),
% 48.89/31.43 inference(quant_inst,[status(thm)],[])).
% 48.89/31.43 tff(11710,plain,
% 48.89/31.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1)),
% 48.89/31.43 inference(modus_ponens,[status(thm)],[11709, 11708])).
% 48.89/31.43 tff(11711,plain,
% 48.89/31.43 ((~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11710, 857, 11602])).
% 48.89/31.43 tff(11712,plain,
% 48.89/31.43 (v121(constB89, bitIndex1)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11711, 11707])).
% 48.89/31.43 tff(11713,plain,
% 48.89/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11714,plain,
% 48.89/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1))),
% 48.89/31.43 inference(quant_inst,[status(thm)],[])).
% 48.89/31.43 tff(11715,plain,
% 48.89/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1)),
% 48.89/31.43 inference(modus_ponens,[status(thm)],[11714, 11713])).
% 48.89/31.43 tff(11716,plain,
% 48.89/31.43 ((~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11715, 872, 11620])).
% 48.89/31.43 tff(11717,plain,
% 48.89/31.43 (v123(constB90, bitIndex1)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11716, 11712])).
% 48.89/31.43 tff(11718,plain,
% 48.89/31.43 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11719,plain,
% 48.89/31.43 ((v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1))) <=> (v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11720,plain,
% 48.89/31.43 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90))))),
% 48.89/31.43 inference(monotonicity,[status(thm)],[11719])).
% 48.89/31.43 tff(11721,plain,
% 48.89/31.43 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))),
% 48.89/31.43 inference(transitivity,[status(thm)],[11720, 11718])).
% 48.89/31.43 tff(11722,plain,
% 48.89/31.43 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1)))),
% 48.89/31.43 inference(quant_inst,[status(thm)],[])).
% 48.89/31.43 tff(11723,plain,
% 48.89/31.43 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90))),
% 48.89/31.43 inference(modus_ponens,[status(thm)],[11722, 11721])).
% 48.89/31.43 tff(11724,plain,
% 48.89/31.43 (v84(constB90, bitIndex1) | (~v94(constB90))),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11723, 887, 11717])).
% 48.89/31.43 tff(11725,plain,
% 48.89/31.43 (v84(constB90, bitIndex1)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11724, 11654])).
% 48.89/31.43 tff(11726,plain,
% 48.89/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11727,plain,
% 48.89/31.43 (((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1)) <=> ((~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11728,plain,
% 48.89/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1)))),
% 48.89/31.43 inference(monotonicity,[status(thm)],[11727])).
% 48.89/31.43 tff(11729,plain,
% 48.89/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))),
% 48.89/31.43 inference(transitivity,[status(thm)],[11728, 11726])).
% 48.89/31.43 tff(11730,plain,
% 48.89/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1))),
% 48.89/31.43 inference(quant_inst,[status(thm)],[])).
% 48.89/31.43 tff(11731,plain,
% 48.89/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1)),
% 48.89/31.43 inference(modus_ponens,[status(thm)],[11730, 11729])).
% 48.89/31.43 tff(11732,plain,
% 48.89/31.43 ((~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11731, 905, 11682])).
% 48.89/31.43 tff(11733,plain,
% 48.89/31.43 ((~v84(constB90, bitIndex1)) | v84(constB91, bitIndex1)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11732, 11694])).
% 48.89/31.43 tff(11734,plain,
% 48.89/31.43 (v84(constB91, bitIndex1)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11733, 11725])).
% 48.89/31.43 tff(11735,plain,
% 48.89/31.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB89)) | v124(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB89)) | v124(constB89, bitIndex0))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11736,plain,
% 48.89/31.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB89)) | v124(constB89, bitIndex0))),
% 48.89/31.43 inference(quant_inst,[status(thm)],[])).
% 48.89/31.43 tff(11737,plain,
% 48.89/31.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB89)) | v124(constB89, bitIndex0)),
% 48.89/31.43 inference(modus_ponens,[status(thm)],[11736, 11735])).
% 48.89/31.43 tff(11738,plain,
% 48.89/31.43 (v124(constB89, bitIndex0)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11737, 1784, 11566])).
% 48.89/31.43 tff(11739,plain,
% 48.89/31.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11740,plain,
% 48.89/31.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))),
% 48.89/31.43 inference(quant_inst,[status(thm)],[])).
% 48.89/31.43 tff(11741,plain,
% 48.89/31.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0)),
% 48.89/31.43 inference(modus_ponens,[status(thm)],[11740, 11739])).
% 48.89/31.43 tff(11742,plain,
% 48.89/31.43 ((~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11741, 1391, 11602])).
% 48.89/31.43 tff(11743,plain,
% 48.89/31.43 (v121(constB89, bitIndex0)),
% 48.89/31.43 inference(unit_resolution,[status(thm)],[11742, 11738])).
% 48.89/31.43 tff(11744,plain,
% 48.89/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0))),
% 48.89/31.43 inference(rewrite,[status(thm)],[])).
% 48.89/31.43 tff(11745,plain,
% 48.89/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0))),
% 48.99/31.44 inference(quant_inst,[status(thm)],[])).
% 48.99/31.44 tff(11746,plain,
% 48.99/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0)),
% 48.99/31.44 inference(modus_ponens,[status(thm)],[11745, 11744])).
% 48.99/31.44 tff(11747,plain,
% 48.99/31.44 ((~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11746, 1406, 11620])).
% 48.99/31.44 tff(11748,plain,
% 48.99/31.44 (v123(constB90, bitIndex0)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11747, 11743])).
% 48.99/31.44 tff(11749,plain,
% 48.99/31.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11750,plain,
% 48.99/31.44 ((v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0))) <=> (v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11751,plain,
% 48.99/31.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90))))),
% 48.99/31.44 inference(monotonicity,[status(thm)],[11750])).
% 48.99/31.44 tff(11752,plain,
% 48.99/31.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))),
% 48.99/31.44 inference(transitivity,[status(thm)],[11751, 11749])).
% 48.99/31.44 tff(11753,plain,
% 48.99/31.44 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0)))),
% 48.99/31.44 inference(quant_inst,[status(thm)],[])).
% 48.99/31.44 tff(11754,plain,
% 48.99/31.44 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90))),
% 48.99/31.44 inference(modus_ponens,[status(thm)],[11753, 11752])).
% 48.99/31.44 tff(11755,plain,
% 48.99/31.44 (v84(constB90, bitIndex0) | (~v94(constB90))),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11754, 1421, 11748])).
% 48.99/31.44 tff(11756,plain,
% 48.99/31.44 (v84(constB90, bitIndex0)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11755, 11654])).
% 48.99/31.44 tff(11757,plain,
% 48.99/31.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11758,plain,
% 48.99/31.44 (((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0)) <=> ((~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11759,plain,
% 48.99/31.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0)))),
% 48.99/31.44 inference(monotonicity,[status(thm)],[11758])).
% 48.99/31.44 tff(11760,plain,
% 48.99/31.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))),
% 48.99/31.44 inference(transitivity,[status(thm)],[11759, 11757])).
% 48.99/31.44 tff(11761,plain,
% 48.99/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0))),
% 48.99/31.44 inference(quant_inst,[status(thm)],[])).
% 48.99/31.44 tff(11762,plain,
% 48.99/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0)),
% 48.99/31.44 inference(modus_ponens,[status(thm)],[11761, 11760])).
% 48.99/31.44 tff(11763,plain,
% 48.99/31.44 ((~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11762, 1439, 11682])).
% 48.99/31.44 tff(11764,plain,
% 48.99/31.44 ((~v84(constB90, bitIndex0)) | v84(constB91, bitIndex0)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11763, 11694])).
% 48.99/31.44 tff(11765,plain,
% 48.99/31.44 (v84(constB91, bitIndex0)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11764, 11756])).
% 48.99/31.44 tff(11766,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11767,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))),
% 48.99/31.44 inference(quant_inst,[status(thm)],[])).
% 48.99/31.44 tff(11768,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91)),
% 48.99/31.44 inference(modus_ponens,[status(thm)],[11767, 11766])).
% 48.99/31.44 tff(11769,plain,
% 48.99/31.44 (v116(constB91)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11768, 1825, 11765, 11734, 11703])).
% 48.99/31.44 tff(11770,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB91) | (~v116(constB91)))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11771,plain,
% 48.99/31.44 (((~v116(constB91)) | v110(constB91)) <=> (v110(constB91) | (~v116(constB91)))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11772,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB91)) | v110(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB91) | (~v116(constB91))))),
% 48.99/31.44 inference(monotonicity,[status(thm)],[11771])).
% 48.99/31.44 tff(11773,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB91)) | v110(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB91) | (~v116(constB91)))),
% 48.99/31.44 inference(transitivity,[status(thm)],[11772, 11770])).
% 48.99/31.44 tff(11774,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB91)) | v110(constB91))),
% 48.99/31.44 inference(quant_inst,[status(thm)],[])).
% 48.99/31.44 tff(11775,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB91) | (~v116(constB91))),
% 48.99/31.44 inference(modus_ponens,[status(thm)],[11774, 11773])).
% 48.99/31.44 tff(11776,plain,
% 48.99/31.44 (v110(constB91)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11775, 1836, 11769])).
% 48.99/31.44 tff(11777,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB91) | (~v110(constB91)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB91) | (~v110(constB91)))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11778,plain,
% 48.99/31.44 (((~v110(constB91)) | v109(constB91)) <=> (v109(constB91) | (~v110(constB91)))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11779,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB91)) | v109(constB91))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB91) | (~v110(constB91))))),
% 48.99/31.44 inference(monotonicity,[status(thm)],[11778])).
% 48.99/31.44 tff(11780,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB91)) | v109(constB91))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB91) | (~v110(constB91)))),
% 48.99/31.44 inference(transitivity,[status(thm)],[11779, 11777])).
% 48.99/31.44 tff(11781,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB91)) | v109(constB91))),
% 48.99/31.44 inference(quant_inst,[status(thm)],[])).
% 48.99/31.44 tff(11782,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB91) | (~v110(constB91))),
% 48.99/31.44 inference(modus_ponens,[status(thm)],[11781, 11780])).
% 48.99/31.44 tff(11783,plain,
% 48.99/31.44 (v109(constB91)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11782, 306, 11776])).
% 48.99/31.44 tff(11784,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB91)) | v108(constB91))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11785,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB91)) | v108(constB91))),
% 48.99/31.44 inference(quant_inst,[status(thm)],[])).
% 48.99/31.44 tff(11786,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB91)) | v108(constB91)),
% 48.99/31.44 inference(modus_ponens,[status(thm)],[11785, 11784])).
% 48.99/31.44 tff(11787,plain,
% 48.99/31.44 (v108(constB91)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11786, 320, 11783])).
% 48.99/31.44 tff(11788,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB91) | (~v108(constB91)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB91) | (~v108(constB91)))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11789,plain,
% 48.99/31.44 (((~v108(constB91)) | v107(constB91)) <=> (v107(constB91) | (~v108(constB91)))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11790,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB91)) | v107(constB91))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB91) | (~v108(constB91))))),
% 48.99/31.44 inference(monotonicity,[status(thm)],[11789])).
% 48.99/31.44 tff(11791,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB91)) | v107(constB91))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB91) | (~v108(constB91)))),
% 48.99/31.44 inference(transitivity,[status(thm)],[11790, 11788])).
% 48.99/31.44 tff(11792,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB91)) | v107(constB91))),
% 48.99/31.44 inference(quant_inst,[status(thm)],[])).
% 48.99/31.44 tff(11793,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB91) | (~v108(constB91))),
% 48.99/31.44 inference(modus_ponens,[status(thm)],[11792, 11791])).
% 48.99/31.44 tff(11794,plain,
% 48.99/31.44 (v107(constB91)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11793, 334, 11787])).
% 48.99/31.44 tff(11795,assumption,(v26(constB91)), introduced(assumption)).
% 48.99/31.44 tff(11796,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB91))),
% 48.99/31.44 inference(quant_inst,[status(thm)],[])).
% 48.99/31.44 tff(11797,plain,
% 48.99/31.44 ($false),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11796, 55, 11795])).
% 48.99/31.44 tff(11798,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.44 tff(11799,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB91) | (~v107(constB91)) | v106(constB91))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB91) | (~v107(constB91)) | v106(constB91))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11800,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB91) | (~v107(constB91)) | v106(constB91))),
% 48.99/31.44 inference(quant_inst,[status(thm)],[])).
% 48.99/31.44 tff(11801,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB91) | (~v107(constB91)) | v106(constB91)),
% 48.99/31.44 inference(modus_ponens,[status(thm)],[11800, 11799])).
% 48.99/31.44 tff(11802,plain,
% 48.99/31.44 ((~v107(constB91)) | v106(constB91)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11801, 348, 11798])).
% 48.99/31.44 tff(11803,plain,
% 48.99/31.44 (v106(constB91)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11802, 11794])).
% 48.99/31.44 tff(11804,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB91) | (~v106(constB91)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB91) | (~v106(constB91)))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11805,plain,
% 48.99/31.44 (((~v106(constB91)) | v102(constB91)) <=> (v102(constB91) | (~v106(constB91)))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11806,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB91)) | v102(constB91))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB91) | (~v106(constB91))))),
% 48.99/31.44 inference(monotonicity,[status(thm)],[11805])).
% 48.99/31.44 tff(11807,plain,
% 48.99/31.44 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB91)) | v102(constB91))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB91) | (~v106(constB91)))),
% 48.99/31.44 inference(transitivity,[status(thm)],[11806, 11804])).
% 48.99/31.44 tff(11808,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB91)) | v102(constB91))),
% 48.99/31.44 inference(quant_inst,[status(thm)],[])).
% 48.99/31.44 tff(11809,plain,
% 48.99/31.44 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB91) | (~v106(constB91))),
% 48.99/31.44 inference(modus_ponens,[status(thm)],[11808, 11807])).
% 48.99/31.44 tff(11810,plain,
% 48.99/31.44 (v102(constB91)),
% 48.99/31.44 inference(unit_resolution,[status(thm)],[11809, 504, 11803])).
% 48.99/31.44 tff(11811,plain,
% 48.99/31.44 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11812,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 48.99/31.44 tff(11813,plain,
% 48.99/31.44 (nextState(constB91, constB92)),
% 48.99/31.44 inference(modus_ponens,[status(thm)],[11812, 11811])).
% 48.99/31.44 tff(11814,plain,
% 48.99/31.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 48.99/31.44 inference(rewrite,[status(thm)],[])).
% 48.99/31.44 tff(11815,plain,
% 48.99/31.44 (((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92)) <=> ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11816,plain,
% 48.99/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91))))),
% 48.99/31.45 inference(monotonicity,[status(thm)],[11815])).
% 48.99/31.45 tff(11817,plain,
% 48.99/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 48.99/31.45 inference(transitivity,[status(thm)],[11816, 11814])).
% 48.99/31.45 tff(11818,plain,
% 48.99/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))),
% 48.99/31.45 inference(quant_inst,[status(thm)],[])).
% 48.99/31.45 tff(11819,plain,
% 48.99/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91))),
% 48.99/31.45 inference(modus_ponens,[status(thm)],[11818, 11817])).
% 48.99/31.45 tff(11820,plain,
% 48.99/31.45 (v104(constB92) | (~v102(constB91))),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11819, 489, 11813])).
% 48.99/31.45 tff(11821,plain,
% 48.99/31.45 (v104(constB92)),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11820, 11810])).
% 48.99/31.45 tff(11822,plain,
% 48.99/31.45 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11823,plain,
% 48.99/31.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))),
% 48.99/31.45 inference(quant_inst,[status(thm)],[])).
% 48.99/31.45 tff(11824,plain,
% 48.99/31.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92))),
% 48.99/31.45 inference(modus_ponens,[status(thm)],[11823, 11822])).
% 48.99/31.45 tff(11825,plain,
% 48.99/31.45 (~v98(constB92)),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11824, 423, 11813, 11679])).
% 48.99/31.45 tff(11826,plain,
% 48.99/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11827,plain,
% 48.99/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))),
% 48.99/31.45 inference(quant_inst,[status(thm)],[])).
% 48.99/31.45 tff(11828,plain,
% 48.99/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB91, constB92)) | v96(constB92) | v98(constB92)),
% 48.99/31.45 inference(modus_ponens,[status(thm)],[11827, 11826])).
% 48.99/31.45 tff(11829,plain,
% 48.99/31.45 (v96(constB92) | v98(constB92)),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11828, 437, 11813])).
% 48.99/31.45 tff(11830,plain,
% 48.99/31.45 (v96(constB92)),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11829, 11825])).
% 48.99/31.45 tff(11831,plain,
% 48.99/31.45 (v1(constB92) <=> v1(constB92)),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11832,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 48.99/31.45 tff(11833,plain,
% 48.99/31.45 (v1(constB92)),
% 48.99/31.45 inference(modus_ponens,[status(thm)],[11832, 11831])).
% 48.99/31.45 tff(11834,plain,
% 48.99/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11835,plain,
% 48.99/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))),
% 48.99/31.45 inference(quant_inst,[status(thm)],[])).
% 48.99/31.45 tff(11836,plain,
% 48.99/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92))),
% 48.99/31.45 inference(modus_ponens,[status(thm)],[11835, 11834])).
% 48.99/31.45 tff(11837,plain,
% 48.99/31.45 (v95(constB92) | (~v96(constB92))),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11836, 455, 11813, 11833])).
% 48.99/31.45 tff(11838,plain,
% 48.99/31.45 (v95(constB92)),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11837, 11830])).
% 48.99/31.45 tff(11839,plain,
% 48.99/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11840,plain,
% 48.99/31.45 (((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92)) <=> ((~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11841,plain,
% 48.99/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92))))),
% 48.99/31.45 inference(monotonicity,[status(thm)],[11840])).
% 48.99/31.45 tff(11842,plain,
% 48.99/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))),
% 48.99/31.45 inference(transitivity,[status(thm)],[11841, 11839])).
% 48.99/31.45 tff(11843,plain,
% 48.99/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))),
% 48.99/31.45 inference(quant_inst,[status(thm)],[])).
% 48.99/31.45 tff(11844,plain,
% 48.99/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92))),
% 48.99/31.45 inference(modus_ponens,[status(thm)],[11843, 11842])).
% 48.99/31.45 tff(11845,plain,
% 48.99/31.45 (v94(constB92) | (~v95(constB92)) | (~v104(constB92))),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11844, 470, 11813])).
% 48.99/31.45 tff(11846,plain,
% 48.99/31.45 (v94(constB92) | (~v104(constB92))),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11845, 11838])).
% 48.99/31.45 tff(11847,plain,
% 48.99/31.45 (v94(constB92)),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11846, 11821])).
% 48.99/31.45 tff(11848,plain,
% 48.99/31.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB91)) | v124(constB91, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB91)) | v124(constB91, bitIndex2))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11849,plain,
% 48.99/31.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB91)) | v124(constB91, bitIndex2))),
% 48.99/31.45 inference(quant_inst,[status(thm)],[])).
% 48.99/31.45 tff(11850,plain,
% 48.99/31.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB91)) | v124(constB91, bitIndex2)),
% 48.99/31.45 inference(modus_ponens,[status(thm)],[11849, 11848])).
% 48.99/31.45 tff(11851,plain,
% 48.99/31.45 (v124(constB91, bitIndex2)),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11850, 1923, 11769])).
% 48.99/31.45 tff(11852,plain,
% 48.99/31.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11853,plain,
% 48.99/31.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))),
% 48.99/31.45 inference(quant_inst,[status(thm)],[])).
% 48.99/31.45 tff(11854,plain,
% 48.99/31.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2)),
% 48.99/31.45 inference(modus_ponens,[status(thm)],[11853, 11852])).
% 48.99/31.45 tff(11855,plain,
% 48.99/31.45 ((~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2)),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11854, 374, 11798])).
% 48.99/31.45 tff(11856,plain,
% 48.99/31.45 (v121(constB91, bitIndex2)),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11855, 11851])).
% 48.99/31.45 tff(11857,plain,
% 48.99/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11858,plain,
% 48.99/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2))),
% 48.99/31.45 inference(quant_inst,[status(thm)],[])).
% 48.99/31.45 tff(11859,plain,
% 48.99/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2)),
% 48.99/31.45 inference(modus_ponens,[status(thm)],[11858, 11857])).
% 48.99/31.45 tff(11860,plain,
% 48.99/31.45 ((~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2)),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11859, 389, 11813])).
% 48.99/31.45 tff(11861,plain,
% 48.99/31.45 (v123(constB92, bitIndex2)),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11860, 11856])).
% 48.99/31.45 tff(11862,plain,
% 48.99/31.45 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11863,plain,
% 48.99/31.45 ((v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2))) <=> (v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11864,plain,
% 48.99/31.45 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92))))),
% 48.99/31.45 inference(monotonicity,[status(thm)],[11863])).
% 48.99/31.45 tff(11865,plain,
% 48.99/31.45 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))),
% 48.99/31.45 inference(transitivity,[status(thm)],[11864, 11862])).
% 48.99/31.45 tff(11866,plain,
% 48.99/31.45 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2)))),
% 48.99/31.45 inference(quant_inst,[status(thm)],[])).
% 48.99/31.45 tff(11867,plain,
% 48.99/31.45 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92))),
% 48.99/31.45 inference(modus_ponens,[status(thm)],[11866, 11865])).
% 48.99/31.45 tff(11868,plain,
% 48.99/31.45 (v84(constB92, bitIndex2) | (~v94(constB92))),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11867, 405, 11861])).
% 48.99/31.45 tff(11869,plain,
% 48.99/31.45 (v84(constB92, bitIndex2)),
% 48.99/31.45 inference(unit_resolution,[status(thm)],[11868, 11847])).
% 48.99/31.45 tff(11870,plain,
% 48.99/31.45 ((~v1(constB93)) <=> (~v1(constB93))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11871,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 48.99/31.45 tff(11872,plain,
% 48.99/31.45 (~v1(constB93)),
% 48.99/31.45 inference(modus_ponens,[status(thm)],[11871, 11870])).
% 48.99/31.45 tff(11873,plain,
% 48.99/31.45 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11874,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 48.99/31.45 tff(11875,plain,
% 48.99/31.45 (nextState(constB92, constB93)),
% 48.99/31.45 inference(modus_ponens,[status(thm)],[11874, 11873])).
% 48.99/31.45 tff(11876,plain,
% 48.99/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11877,plain,
% 48.99/31.45 (((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 48.99/31.45 inference(rewrite,[status(thm)],[])).
% 48.99/31.45 tff(11878,plain,
% 48.99/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93))))),
% 48.99/31.45 inference(monotonicity,[status(thm)],[11877])).
% 48.99/31.45 tff(11879,plain,
% 48.99/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 48.99/31.46 inference(transitivity,[status(thm)],[11878, 11876])).
% 48.99/31.46 tff(11880,plain,
% 48.99/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))),
% 48.99/31.46 inference(quant_inst,[status(thm)],[])).
% 48.99/31.46 tff(11881,plain,
% 48.99/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93))),
% 48.99/31.46 inference(modus_ponens,[status(thm)],[11880, 11879])).
% 48.99/31.46 tff(11882,plain,
% 48.99/31.46 (~v95(constB93)),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11881, 110, 11875, 11872])).
% 48.99/31.46 tff(11883,plain,
% 48.99/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))),
% 48.99/31.46 inference(rewrite,[status(thm)],[])).
% 48.99/31.46 tff(11884,plain,
% 48.99/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))),
% 48.99/31.46 inference(quant_inst,[status(thm)],[])).
% 48.99/31.46 tff(11885,plain,
% 48.99/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93))),
% 48.99/31.46 inference(modus_ponens,[status(thm)],[11884, 11883])).
% 48.99/31.46 tff(11886,plain,
% 48.99/31.46 (v95(constB93) | (~v94(constB93))),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11885, 127, 11875])).
% 48.99/31.46 tff(11887,plain,
% 48.99/31.46 (~v94(constB93)),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11886, 11882])).
% 48.99/31.46 tff(11888,plain,
% 48.99/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))),
% 48.99/31.46 inference(rewrite,[status(thm)],[])).
% 48.99/31.46 tff(11889,plain,
% 48.99/31.46 (((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2)) <=> ((~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))),
% 48.99/31.46 inference(rewrite,[status(thm)],[])).
% 48.99/31.46 tff(11890,plain,
% 48.99/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2)))),
% 48.99/31.46 inference(monotonicity,[status(thm)],[11889])).
% 48.99/31.46 tff(11891,plain,
% 48.99/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))),
% 48.99/31.46 inference(transitivity,[status(thm)],[11890, 11888])).
% 48.99/31.46 tff(11892,plain,
% 48.99/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2))),
% 48.99/31.46 inference(quant_inst,[status(thm)],[])).
% 48.99/31.46 tff(11893,plain,
% 48.99/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2)),
% 48.99/31.46 inference(modus_ponens,[status(thm)],[11892, 11891])).
% 48.99/31.46 tff(11894,plain,
% 48.99/31.46 ((~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2)),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11893, 576, 11875])).
% 48.99/31.46 tff(11895,plain,
% 48.99/31.46 ((~v84(constB92, bitIndex2)) | v84(constB93, bitIndex2)),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11894, 11887])).
% 48.99/31.46 tff(11896,plain,
% 48.99/31.46 (v84(constB93, bitIndex2)),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11895, 11869])).
% 48.99/31.46 tff(11897,plain,
% 48.99/31.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB91)) | (~v124(constB91, bitIndex1)))),
% 48.99/31.46 inference(rewrite,[status(thm)],[])).
% 48.99/31.46 tff(11898,plain,
% 48.99/31.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex1)))),
% 48.99/31.46 inference(quant_inst,[status(thm)],[])).
% 48.99/31.46 tff(11899,plain,
% 48.99/31.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB91)) | (~v124(constB91, bitIndex1))),
% 48.99/31.46 inference(modus_ponens,[status(thm)],[11898, 11897])).
% 48.99/31.46 tff(11900,plain,
% 48.99/31.46 (~v124(constB91, bitIndex1)),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11899, 1979, 11769])).
% 48.99/31.46 tff(11901,plain,
% 48.99/31.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))),
% 48.99/31.46 inference(rewrite,[status(thm)],[])).
% 48.99/31.46 tff(11902,plain,
% 48.99/31.46 ((v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1))) <=> ((~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))),
% 48.99/31.46 inference(rewrite,[status(thm)],[])).
% 48.99/31.46 tff(11903,plain,
% 48.99/31.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1)))),
% 48.99/31.46 inference(monotonicity,[status(thm)],[11902])).
% 48.99/31.46 tff(11904,plain,
% 48.99/31.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))),
% 48.99/31.46 inference(transitivity,[status(thm)],[11903, 11901])).
% 48.99/31.46 tff(11905,plain,
% 48.99/31.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))),
% 48.99/31.46 inference(quant_inst,[status(thm)],[])).
% 48.99/31.46 tff(11906,plain,
% 48.99/31.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1)),
% 48.99/31.46 inference(modus_ponens,[status(thm)],[11905, 11904])).
% 48.99/31.46 tff(11907,plain,
% 48.99/31.46 ((~v121(constB91, bitIndex1)) | v124(constB91, bitIndex1)),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11906, 233, 11798])).
% 48.99/31.46 tff(11908,plain,
% 48.99/31.46 (~v121(constB91, bitIndex1)),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11907, 11900])).
% 48.99/31.46 tff(11909,plain,
% 48.99/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 48.99/31.46 inference(rewrite,[status(thm)],[])).
% 48.99/31.46 tff(11910,plain,
% 48.99/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 48.99/31.46 inference(quant_inst,[status(thm)],[])).
% 48.99/31.46 tff(11911,plain,
% 48.99/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1))),
% 48.99/31.46 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 48.99/31.46 tff(11912,plain,
% 48.99/31.46 (v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1))),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11911, 254, 11813])).
% 48.99/31.46 tff(11913,plain,
% 48.99/31.46 (~v123(constB92, bitIndex1)),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11912, 11908])).
% 48.99/31.46 tff(11914,plain,
% 48.99/31.46 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))),
% 48.99/31.46 inference(rewrite,[status(thm)],[])).
% 48.99/31.46 tff(11915,plain,
% 48.99/31.46 (((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1)) <=> ((~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))),
% 48.99/31.46 inference(rewrite,[status(thm)],[])).
% 48.99/31.46 tff(11916,plain,
% 48.99/31.46 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92))))),
% 48.99/31.46 inference(monotonicity,[status(thm)],[11915])).
% 48.99/31.46 tff(11917,plain,
% 48.99/31.46 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))),
% 48.99/31.46 inference(transitivity,[status(thm)],[11916, 11914])).
% 48.99/31.46 tff(11918,plain,
% 48.99/31.46 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1))),
% 48.99/31.46 inference(quant_inst,[status(thm)],[])).
% 48.99/31.46 tff(11919,plain,
% 48.99/31.46 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92))),
% 48.99/31.46 inference(modus_ponens,[status(thm)],[11918, 11917])).
% 48.99/31.46 tff(11920,plain,
% 48.99/31.46 ((~v84(constB92, bitIndex1)) | (~v94(constB92))),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11919, 532, 11913])).
% 48.99/31.46 tff(11921,plain,
% 48.99/31.46 (~v84(constB92, bitIndex1)),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11920, 11847])).
% 48.99/31.46 tff(11922,plain,
% 48.99/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 48.99/31.46 inference(rewrite,[status(thm)],[])).
% 48.99/31.46 tff(11923,plain,
% 48.99/31.46 (((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1))) <=> (v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 48.99/31.46 inference(rewrite,[status(thm)],[])).
% 48.99/31.46 tff(11924,plain,
% 48.99/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1))))),
% 48.99/31.46 inference(monotonicity,[status(thm)],[11923])).
% 48.99/31.46 tff(11925,plain,
% 48.99/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 48.99/31.46 inference(transitivity,[status(thm)],[11924, 11922])).
% 48.99/31.46 tff(11926,plain,
% 48.99/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 48.99/31.46 inference(quant_inst,[status(thm)],[])).
% 48.99/31.46 tff(11927,plain,
% 48.99/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1))),
% 48.99/31.46 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 48.99/31.46 tff(11928,plain,
% 48.99/31.46 (v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1))),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11927, 163, 11875])).
% 48.99/31.46 tff(11929,plain,
% 48.99/31.46 (v84(constB92, bitIndex1) | (~v84(constB93, bitIndex1))),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11928, 11887])).
% 48.99/31.46 tff(11930,plain,
% 48.99/31.46 (~v84(constB93, bitIndex1)),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11929, 11921])).
% 48.99/31.46 tff(11931,plain,
% 48.99/31.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB91)) | (~v124(constB91, bitIndex0)))),
% 48.99/31.46 inference(rewrite,[status(thm)],[])).
% 48.99/31.46 tff(11932,plain,
% 48.99/31.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex0)))),
% 48.99/31.46 inference(quant_inst,[status(thm)],[])).
% 48.99/31.46 tff(11933,plain,
% 48.99/31.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB91)) | (~v124(constB91, bitIndex0))),
% 48.99/31.46 inference(modus_ponens,[status(thm)],[11932, 11931])).
% 48.99/31.46 tff(11934,plain,
% 48.99/31.46 (~v124(constB91, bitIndex0)),
% 48.99/31.46 inference(unit_resolution,[status(thm)],[11933, 2020, 11769])).
% 48.99/31.46 tff(11935,plain,
% 48.99/31.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11936,plain,
% 48.99/31.47 ((v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0))) <=> ((~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11937,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0)))),
% 48.99/31.47 inference(monotonicity,[status(thm)],[11936])).
% 48.99/31.47 tff(11938,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))),
% 48.99/31.47 inference(transitivity,[status(thm)],[11937, 11935])).
% 48.99/31.47 tff(11939,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))),
% 48.99/31.47 inference(quant_inst,[status(thm)],[])).
% 48.99/31.47 tff(11940,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0)),
% 48.99/31.47 inference(modus_ponens,[status(thm)],[11939, 11938])).
% 48.99/31.47 tff(11941,plain,
% 48.99/31.47 ((~v121(constB91, bitIndex0)) | v124(constB91, bitIndex0)),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11940, 607, 11798])).
% 48.99/31.47 tff(11942,plain,
% 48.99/31.47 (~v121(constB91, bitIndex0)),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11941, 11934])).
% 48.99/31.47 tff(11943,plain,
% 48.99/31.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11944,plain,
% 48.99/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 48.99/31.47 inference(quant_inst,[status(thm)],[])).
% 48.99/31.47 tff(11945,plain,
% 48.99/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0))),
% 48.99/31.47 inference(modus_ponens,[status(thm)],[11944, 11943])).
% 48.99/31.47 tff(11946,plain,
% 48.99/31.47 (v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0))),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11945, 637, 11813])).
% 48.99/31.47 tff(11947,plain,
% 48.99/31.47 (~v123(constB92, bitIndex0)),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11946, 11942])).
% 48.99/31.47 tff(11948,plain,
% 48.99/31.47 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11949,plain,
% 48.99/31.47 (((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0)) <=> ((~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11950,plain,
% 48.99/31.47 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92))))),
% 48.99/31.47 inference(monotonicity,[status(thm)],[11949])).
% 48.99/31.47 tff(11951,plain,
% 48.99/31.47 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))),
% 48.99/31.47 inference(transitivity,[status(thm)],[11950, 11948])).
% 48.99/31.47 tff(11952,plain,
% 48.99/31.47 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0))),
% 48.99/31.47 inference(quant_inst,[status(thm)],[])).
% 48.99/31.47 tff(11953,plain,
% 48.99/31.47 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92))),
% 48.99/31.47 inference(modus_ponens,[status(thm)],[11952, 11951])).
% 48.99/31.47 tff(11954,plain,
% 48.99/31.47 ((~v84(constB92, bitIndex0)) | (~v94(constB92))),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11953, 652, 11947])).
% 48.99/31.47 tff(11955,plain,
% 48.99/31.47 (~v84(constB92, bitIndex0)),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11954, 11847])).
% 48.99/31.47 tff(11956,plain,
% 48.99/31.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11957,plain,
% 48.99/31.47 (((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0))) <=> (v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11958,plain,
% 48.99/31.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0))))),
% 48.99/31.47 inference(monotonicity,[status(thm)],[11957])).
% 48.99/31.47 tff(11959,plain,
% 48.99/31.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 48.99/31.47 inference(transitivity,[status(thm)],[11958, 11956])).
% 48.99/31.47 tff(11960,plain,
% 48.99/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 48.99/31.47 inference(quant_inst,[status(thm)],[])).
% 48.99/31.47 tff(11961,plain,
% 48.99/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0))),
% 48.99/31.47 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 48.99/31.47 tff(11962,plain,
% 48.99/31.47 (v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0))),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11961, 184, 11875])).
% 48.99/31.47 tff(11963,plain,
% 48.99/31.47 (v84(constB92, bitIndex0) | (~v84(constB93, bitIndex0))),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11962, 11887])).
% 48.99/31.47 tff(11964,plain,
% 48.99/31.47 (~v84(constB93, bitIndex0)),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11963, 11955])).
% 48.99/31.47 tff(11965,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11966,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))),
% 48.99/31.47 inference(quant_inst,[status(thm)],[])).
% 48.99/31.47 tff(11967,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93)),
% 48.99/31.47 inference(modus_ponens,[status(thm)],[11966, 11965])).
% 48.99/31.47 tff(11968,plain,
% 48.99/31.47 (v172(constB93)),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11967, 679, 11964, 11930, 11896])).
% 48.99/31.47 tff(11969,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB93) | (~v172(constB93)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB93) | (~v172(constB93)))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11970,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB93) | (~v172(constB93)))),
% 48.99/31.47 inference(quant_inst,[status(thm)],[])).
% 48.99/31.47 tff(11971,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB93) | (~v172(constB93))),
% 48.99/31.47 inference(modus_ponens,[status(thm)],[11970, 11969])).
% 48.99/31.47 tff(11972,plain,
% 48.99/31.47 (v109(constB93)),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11971, 740, 11968])).
% 48.99/31.47 tff(11973,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v109(constB93)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v109(constB93)))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11974,plain,
% 48.99/31.47 (((~v109(constB93)) | v108(constB93)) <=> (v108(constB93) | (~v109(constB93)))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11975,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v109(constB93))))),
% 48.99/31.47 inference(monotonicity,[status(thm)],[11974])).
% 48.99/31.47 tff(11976,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v109(constB93)))),
% 48.99/31.47 inference(transitivity,[status(thm)],[11975, 11973])).
% 48.99/31.47 tff(11977,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB93)) | v108(constB93))),
% 48.99/31.47 inference(quant_inst,[status(thm)],[])).
% 48.99/31.47 tff(11978,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v109(constB93))),
% 48.99/31.47 inference(modus_ponens,[status(thm)],[11977, 11976])).
% 48.99/31.47 tff(11979,plain,
% 48.99/31.47 (v108(constB93)),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11978, 320, 11972])).
% 48.99/31.47 tff(11980,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB93) | (~v108(constB93)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB93) | (~v108(constB93)))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11981,plain,
% 48.99/31.47 (((~v108(constB93)) | v107(constB93)) <=> (v107(constB93) | (~v108(constB93)))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11982,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB93)) | v107(constB93))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB93) | (~v108(constB93))))),
% 48.99/31.47 inference(monotonicity,[status(thm)],[11981])).
% 48.99/31.47 tff(11983,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB93)) | v107(constB93))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB93) | (~v108(constB93)))),
% 48.99/31.47 inference(transitivity,[status(thm)],[11982, 11980])).
% 48.99/31.47 tff(11984,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB93)) | v107(constB93))),
% 48.99/31.47 inference(quant_inst,[status(thm)],[])).
% 48.99/31.47 tff(11985,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB93) | (~v108(constB93))),
% 48.99/31.47 inference(modus_ponens,[status(thm)],[11984, 11983])).
% 48.99/31.47 tff(11986,plain,
% 48.99/31.47 (v107(constB93)),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11985, 334, 11979])).
% 48.99/31.47 tff(11987,assumption,(v26(constB93)), introduced(assumption)).
% 48.99/31.47 tff(11988,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB93))),
% 48.99/31.47 inference(quant_inst,[status(thm)],[])).
% 48.99/31.47 tff(11989,plain,
% 48.99/31.47 ($false),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11988, 55, 11987])).
% 48.99/31.47 tff(11990,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.47 tff(11991,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | (~v107(constB93)) | v106(constB93))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB93) | (~v107(constB93)) | v106(constB93))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11992,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | (~v107(constB93)) | v106(constB93))),
% 48.99/31.47 inference(quant_inst,[status(thm)],[])).
% 48.99/31.47 tff(11993,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB93) | (~v107(constB93)) | v106(constB93)),
% 48.99/31.47 inference(modus_ponens,[status(thm)],[11992, 11991])).
% 48.99/31.47 tff(11994,plain,
% 48.99/31.47 ((~v107(constB93)) | v106(constB93)),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11993, 348, 11990])).
% 48.99/31.47 tff(11995,plain,
% 48.99/31.47 (v106(constB93)),
% 48.99/31.47 inference(unit_resolution,[status(thm)],[11994, 11986])).
% 48.99/31.47 tff(11996,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB93) | (~v106(constB93)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB93) | (~v106(constB93)))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11997,plain,
% 48.99/31.47 (((~v106(constB93)) | v102(constB93)) <=> (v102(constB93) | (~v106(constB93)))),
% 48.99/31.47 inference(rewrite,[status(thm)],[])).
% 48.99/31.47 tff(11998,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB93)) | v102(constB93))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB93) | (~v106(constB93))))),
% 48.99/31.47 inference(monotonicity,[status(thm)],[11997])).
% 48.99/31.47 tff(11999,plain,
% 48.99/31.47 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB93)) | v102(constB93))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB93) | (~v106(constB93)))),
% 48.99/31.47 inference(transitivity,[status(thm)],[11998, 11996])).
% 48.99/31.47 tff(12000,plain,
% 48.99/31.47 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB93)) | v102(constB93))),
% 48.99/31.47 inference(quant_inst,[status(thm)],[])).
% 48.99/31.48 tff(12001,plain,
% 48.99/31.48 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB93) | (~v106(constB93))),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12000, 11999])).
% 48.99/31.48 tff(12002,plain,
% 48.99/31.48 (v102(constB93)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12001, 504, 11995])).
% 48.99/31.48 tff(12003,plain,
% 48.99/31.48 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12004,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 48.99/31.48 tff(12005,plain,
% 48.99/31.48 (nextState(constB93, constB94)),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12004, 12003])).
% 48.99/31.48 tff(12006,plain,
% 48.99/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12007,plain,
% 48.99/31.48 (((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94)) <=> ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12008,plain,
% 48.99/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93))))),
% 48.99/31.48 inference(monotonicity,[status(thm)],[12007])).
% 48.99/31.48 tff(12009,plain,
% 48.99/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 48.99/31.48 inference(transitivity,[status(thm)],[12008, 12006])).
% 48.99/31.48 tff(12010,plain,
% 48.99/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))),
% 48.99/31.48 inference(quant_inst,[status(thm)],[])).
% 48.99/31.48 tff(12011,plain,
% 48.99/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93))),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12010, 12009])).
% 48.99/31.48 tff(12012,plain,
% 48.99/31.48 (v104(constB94) | (~v102(constB93))),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12011, 489, 12005])).
% 48.99/31.48 tff(12013,plain,
% 48.99/31.48 (v104(constB94)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12012, 12002])).
% 48.99/31.48 tff(12014,plain,
% 48.99/31.48 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12015,plain,
% 48.99/31.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))),
% 48.99/31.48 inference(quant_inst,[status(thm)],[])).
% 48.99/31.48 tff(12016,plain,
% 48.99/31.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94))),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12015, 12014])).
% 48.99/31.48 tff(12017,plain,
% 48.99/31.48 (~v98(constB94)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12016, 423, 12005, 11872])).
% 48.99/31.48 tff(12018,plain,
% 48.99/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12019,plain,
% 48.99/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))),
% 48.99/31.48 inference(quant_inst,[status(thm)],[])).
% 48.99/31.48 tff(12020,plain,
% 48.99/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB93, constB94)) | v96(constB94) | v98(constB94)),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12019, 12018])).
% 48.99/31.48 tff(12021,plain,
% 48.99/31.48 (v96(constB94) | v98(constB94)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12020, 437, 12005])).
% 48.99/31.48 tff(12022,plain,
% 48.99/31.48 (v96(constB94)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12021, 12017])).
% 48.99/31.48 tff(12023,plain,
% 48.99/31.48 (v1(constB94) <=> v1(constB94)),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12024,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 48.99/31.48 tff(12025,plain,
% 48.99/31.48 (v1(constB94)),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12024, 12023])).
% 48.99/31.48 tff(12026,plain,
% 48.99/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12027,plain,
% 48.99/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))),
% 48.99/31.48 inference(quant_inst,[status(thm)],[])).
% 48.99/31.48 tff(12028,plain,
% 48.99/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94))),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12027, 12026])).
% 48.99/31.48 tff(12029,plain,
% 48.99/31.48 (v95(constB94) | (~v96(constB94))),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12028, 455, 12005, 12025])).
% 48.99/31.48 tff(12030,plain,
% 48.99/31.48 (v95(constB94)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12029, 12022])).
% 48.99/31.48 tff(12031,plain,
% 48.99/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12032,plain,
% 48.99/31.48 (((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94)) <=> ((~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12033,plain,
% 48.99/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94))))),
% 48.99/31.48 inference(monotonicity,[status(thm)],[12032])).
% 48.99/31.48 tff(12034,plain,
% 48.99/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))),
% 48.99/31.48 inference(transitivity,[status(thm)],[12033, 12031])).
% 48.99/31.48 tff(12035,plain,
% 48.99/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))),
% 48.99/31.48 inference(quant_inst,[status(thm)],[])).
% 48.99/31.48 tff(12036,plain,
% 48.99/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94))),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12035, 12034])).
% 48.99/31.48 tff(12037,plain,
% 48.99/31.48 (v94(constB94) | (~v95(constB94)) | (~v104(constB94))),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12036, 470, 12005])).
% 48.99/31.48 tff(12038,plain,
% 48.99/31.48 (v94(constB94) | (~v104(constB94))),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12037, 12030])).
% 48.99/31.48 tff(12039,plain,
% 48.99/31.48 (v94(constB94)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12038, 12013])).
% 48.99/31.48 tff(12040,plain,
% 48.99/31.48 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB93)) | v124(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB93)) | v124(constB93, bitIndex2))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12041,plain,
% 48.99/31.48 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB93)) | v124(constB93, bitIndex2))),
% 48.99/31.48 inference(quant_inst,[status(thm)],[])).
% 48.99/31.48 tff(12042,plain,
% 48.99/31.48 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB93)) | v124(constB93, bitIndex2)),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12041, 12040])).
% 48.99/31.48 tff(12043,plain,
% 48.99/31.48 (v124(constB93, bitIndex2)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12042, 691, 11968])).
% 48.99/31.48 tff(12044,plain,
% 48.99/31.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12045,plain,
% 48.99/31.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2))),
% 48.99/31.48 inference(quant_inst,[status(thm)],[])).
% 48.99/31.48 tff(12046,plain,
% 48.99/31.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2)),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12045, 12044])).
% 48.99/31.48 tff(12047,plain,
% 48.99/31.48 ((~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12046, 374, 11990])).
% 48.99/31.48 tff(12048,plain,
% 48.99/31.48 (v121(constB93, bitIndex2)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12047, 12043])).
% 48.99/31.48 tff(12049,plain,
% 48.99/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12050,plain,
% 48.99/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2))),
% 48.99/31.48 inference(quant_inst,[status(thm)],[])).
% 48.99/31.48 tff(12051,plain,
% 48.99/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2)),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12050, 12049])).
% 48.99/31.48 tff(12052,plain,
% 48.99/31.48 ((~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12051, 389, 12005])).
% 48.99/31.48 tff(12053,plain,
% 48.99/31.48 (v123(constB94, bitIndex2)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12052, 12048])).
% 48.99/31.48 tff(12054,plain,
% 48.99/31.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12055,plain,
% 48.99/31.48 ((v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2))) <=> (v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12056,plain,
% 48.99/31.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94))))),
% 48.99/31.48 inference(monotonicity,[status(thm)],[12055])).
% 48.99/31.48 tff(12057,plain,
% 48.99/31.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))),
% 48.99/31.48 inference(transitivity,[status(thm)],[12056, 12054])).
% 48.99/31.48 tff(12058,plain,
% 48.99/31.48 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2)))),
% 48.99/31.48 inference(quant_inst,[status(thm)],[])).
% 48.99/31.48 tff(12059,plain,
% 48.99/31.48 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94))),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12058, 12057])).
% 48.99/31.48 tff(12060,plain,
% 48.99/31.48 (v84(constB94, bitIndex2) | (~v94(constB94))),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12059, 405, 12053])).
% 48.99/31.48 tff(12061,plain,
% 48.99/31.48 (v84(constB94, bitIndex2)),
% 48.99/31.48 inference(unit_resolution,[status(thm)],[12060, 12039])).
% 48.99/31.48 tff(12062,plain,
% 48.99/31.48 ((~v1(constB95)) <=> (~v1(constB95))),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12063,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 48.99/31.48 tff(12064,plain,
% 48.99/31.48 (~v1(constB95)),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12063, 12062])).
% 48.99/31.48 tff(12065,plain,
% 48.99/31.48 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 48.99/31.48 inference(rewrite,[status(thm)],[])).
% 48.99/31.48 tff(12066,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 48.99/31.48 tff(12067,plain,
% 48.99/31.48 (nextState(constB94, constB95)),
% 48.99/31.48 inference(modus_ponens,[status(thm)],[12066, 12065])).
% 48.99/31.48 tff(12068,plain,
% 48.99/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 48.99/31.49 inference(rewrite,[status(thm)],[])).
% 48.99/31.49 tff(12069,plain,
% 48.99/31.49 (((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 48.99/31.49 inference(rewrite,[status(thm)],[])).
% 48.99/31.49 tff(12070,plain,
% 48.99/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95))))),
% 48.99/31.49 inference(monotonicity,[status(thm)],[12069])).
% 48.99/31.49 tff(12071,plain,
% 48.99/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 48.99/31.49 inference(transitivity,[status(thm)],[12070, 12068])).
% 48.99/31.49 tff(12072,plain,
% 48.99/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))),
% 48.99/31.49 inference(quant_inst,[status(thm)],[])).
% 48.99/31.49 tff(12073,plain,
% 48.99/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95))),
% 48.99/31.49 inference(modus_ponens,[status(thm)],[12072, 12071])).
% 48.99/31.49 tff(12074,plain,
% 48.99/31.49 (~v95(constB95)),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12073, 110, 12067, 12064])).
% 48.99/31.49 tff(12075,plain,
% 48.99/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))),
% 48.99/31.49 inference(rewrite,[status(thm)],[])).
% 48.99/31.49 tff(12076,plain,
% 48.99/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))),
% 48.99/31.49 inference(quant_inst,[status(thm)],[])).
% 48.99/31.49 tff(12077,plain,
% 48.99/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95))),
% 48.99/31.49 inference(modus_ponens,[status(thm)],[12076, 12075])).
% 48.99/31.49 tff(12078,plain,
% 48.99/31.49 (v95(constB95) | (~v94(constB95))),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12077, 127, 12067])).
% 48.99/31.49 tff(12079,plain,
% 48.99/31.49 (~v94(constB95)),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12078, 12074])).
% 48.99/31.49 tff(12080,plain,
% 48.99/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))),
% 48.99/31.49 inference(rewrite,[status(thm)],[])).
% 48.99/31.49 tff(12081,plain,
% 48.99/31.49 (((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2)) <=> ((~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))),
% 48.99/31.49 inference(rewrite,[status(thm)],[])).
% 48.99/31.49 tff(12082,plain,
% 48.99/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2)))),
% 48.99/31.49 inference(monotonicity,[status(thm)],[12081])).
% 48.99/31.49 tff(12083,plain,
% 48.99/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))),
% 48.99/31.49 inference(transitivity,[status(thm)],[12082, 12080])).
% 48.99/31.49 tff(12084,plain,
% 48.99/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2))),
% 48.99/31.49 inference(quant_inst,[status(thm)],[])).
% 48.99/31.49 tff(12085,plain,
% 48.99/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2)),
% 48.99/31.49 inference(modus_ponens,[status(thm)],[12084, 12083])).
% 48.99/31.49 tff(12086,plain,
% 48.99/31.49 ((~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2)),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12085, 576, 12067])).
% 48.99/31.49 tff(12087,plain,
% 48.99/31.49 ((~v84(constB94, bitIndex2)) | v84(constB95, bitIndex2)),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12086, 12079])).
% 48.99/31.49 tff(12088,plain,
% 48.99/31.49 (v84(constB95, bitIndex2)),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12087, 12061])).
% 48.99/31.49 tff(12089,plain,
% 48.99/31.49 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB93)) | v124(constB93, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB93)) | v124(constB93, bitIndex1))),
% 48.99/31.49 inference(rewrite,[status(thm)],[])).
% 48.99/31.49 tff(12090,plain,
% 48.99/31.49 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB93)) | v124(constB93, bitIndex1))),
% 48.99/31.49 inference(quant_inst,[status(thm)],[])).
% 48.99/31.49 tff(12091,plain,
% 48.99/31.49 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB93)) | v124(constB93, bitIndex1)),
% 48.99/31.49 inference(modus_ponens,[status(thm)],[12090, 12089])).
% 48.99/31.49 tff(12092,plain,
% 48.99/31.49 (v124(constB93, bitIndex1)),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12091, 843, 11968])).
% 48.99/31.49 tff(12093,plain,
% 48.99/31.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB93) | (~v124(constB93, bitIndex1)) | v121(constB93, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB93) | (~v124(constB93, bitIndex1)) | v121(constB93, bitIndex1))),
% 48.99/31.49 inference(rewrite,[status(thm)],[])).
% 48.99/31.49 tff(12094,plain,
% 48.99/31.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB93) | (~v124(constB93, bitIndex1)) | v121(constB93, bitIndex1))),
% 48.99/31.49 inference(quant_inst,[status(thm)],[])).
% 48.99/31.49 tff(12095,plain,
% 48.99/31.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB93) | (~v124(constB93, bitIndex1)) | v121(constB93, bitIndex1)),
% 48.99/31.49 inference(modus_ponens,[status(thm)],[12094, 12093])).
% 48.99/31.49 tff(12096,plain,
% 48.99/31.49 ((~v124(constB93, bitIndex1)) | v121(constB93, bitIndex1)),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12095, 857, 11990])).
% 48.99/31.49 tff(12097,plain,
% 48.99/31.49 (v121(constB93, bitIndex1)),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12096, 12092])).
% 48.99/31.49 tff(12098,plain,
% 48.99/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex1)) | v123(constB94, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex1)) | v123(constB94, bitIndex1))),
% 48.99/31.49 inference(rewrite,[status(thm)],[])).
% 48.99/31.49 tff(12099,plain,
% 48.99/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex1)) | v123(constB94, bitIndex1))),
% 48.99/31.49 inference(quant_inst,[status(thm)],[])).
% 48.99/31.49 tff(12100,plain,
% 48.99/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex1)) | v123(constB94, bitIndex1)),
% 48.99/31.49 inference(modus_ponens,[status(thm)],[12099, 12098])).
% 48.99/31.49 tff(12101,plain,
% 48.99/31.49 ((~v121(constB93, bitIndex1)) | v123(constB94, bitIndex1)),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12100, 872, 12005])).
% 48.99/31.49 tff(12102,plain,
% 48.99/31.49 (v123(constB94, bitIndex1)),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12101, 12097])).
% 48.99/31.49 tff(12103,plain,
% 48.99/31.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)) | (~v94(constB94)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)) | (~v94(constB94)))),
% 48.99/31.49 inference(rewrite,[status(thm)],[])).
% 48.99/31.49 tff(12104,plain,
% 48.99/31.49 ((v84(constB94, bitIndex1) | (~v94(constB94)) | (~v123(constB94, bitIndex1))) <=> (v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)) | (~v94(constB94)))),
% 48.99/31.49 inference(rewrite,[status(thm)],[])).
% 48.99/31.49 tff(12105,plain,
% 48.99/31.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~v94(constB94)) | (~v123(constB94, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)) | (~v94(constB94))))),
% 48.99/31.49 inference(monotonicity,[status(thm)],[12104])).
% 48.99/31.49 tff(12106,plain,
% 48.99/31.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~v94(constB94)) | (~v123(constB94, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)) | (~v94(constB94)))),
% 48.99/31.49 inference(transitivity,[status(thm)],[12105, 12103])).
% 48.99/31.49 tff(12107,plain,
% 48.99/31.49 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~v94(constB94)) | (~v123(constB94, bitIndex1)))),
% 48.99/31.49 inference(quant_inst,[status(thm)],[])).
% 48.99/31.49 tff(12108,plain,
% 48.99/31.49 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)) | (~v94(constB94))),
% 48.99/31.49 inference(modus_ponens,[status(thm)],[12107, 12106])).
% 48.99/31.49 tff(12109,plain,
% 48.99/31.49 (v84(constB94, bitIndex1) | (~v94(constB94))),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12108, 887, 12102])).
% 48.99/31.49 tff(12110,plain,
% 48.99/31.49 (v84(constB94, bitIndex1)),
% 48.99/31.49 inference(unit_resolution,[status(thm)],[12109, 12039])).
% 48.99/31.49 tff(12111,plain,
% 48.99/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex1))),
% 49.05/31.49 inference(rewrite,[status(thm)],[])).
% 49.05/31.49 tff(12112,plain,
% 49.05/31.49 (((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex1)) | v94(constB95) | v84(constB95, bitIndex1)) <=> ((~v84(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex1))),
% 49.05/31.49 inference(rewrite,[status(thm)],[])).
% 49.05/31.49 tff(12113,plain,
% 49.05/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex1)) | v94(constB95) | v84(constB95, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex1)))),
% 49.05/31.49 inference(monotonicity,[status(thm)],[12112])).
% 49.05/31.49 tff(12114,plain,
% 49.05/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex1)) | v94(constB95) | v84(constB95, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex1))),
% 49.05/31.49 inference(transitivity,[status(thm)],[12113, 12111])).
% 49.05/31.49 tff(12115,plain,
% 49.05/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex1)) | v94(constB95) | v84(constB95, bitIndex1))),
% 49.05/31.49 inference(quant_inst,[status(thm)],[])).
% 49.05/31.49 tff(12116,plain,
% 49.05/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex1)),
% 49.05/31.49 inference(modus_ponens,[status(thm)],[12115, 12114])).
% 49.05/31.49 tff(12117,plain,
% 49.05/31.49 ((~v84(constB94, bitIndex1)) | v94(constB95) | v84(constB95, bitIndex1)),
% 49.05/31.49 inference(unit_resolution,[status(thm)],[12116, 905, 12067])).
% 49.05/31.49 tff(12118,plain,
% 49.05/31.49 ((~v84(constB94, bitIndex1)) | v84(constB95, bitIndex1)),
% 49.05/31.49 inference(unit_resolution,[status(thm)],[12117, 12079])).
% 49.05/31.49 tff(12119,plain,
% 49.05/31.49 (v84(constB95, bitIndex1)),
% 49.05/31.49 inference(unit_resolution,[status(thm)],[12118, 12110])).
% 49.05/31.49 tff(12120,plain,
% 49.05/31.49 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB93)) | (~v124(constB93, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB93)) | (~v124(constB93, bitIndex0)))),
% 49.05/31.49 inference(rewrite,[status(thm)],[])).
% 49.05/31.49 tff(12121,plain,
% 49.05/31.49 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB93)) | (~v124(constB93, bitIndex0)))),
% 49.05/31.49 inference(quant_inst,[status(thm)],[])).
% 49.05/31.49 tff(12122,plain,
% 49.05/31.49 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB93)) | (~v124(constB93, bitIndex0))),
% 49.05/31.49 inference(modus_ponens,[status(thm)],[12121, 12120])).
% 49.05/31.49 tff(12123,plain,
% 49.05/31.49 (~v124(constB93, bitIndex0)),
% 49.05/31.49 inference(unit_resolution,[status(thm)],[12122, 921, 11968])).
% 49.05/31.49 tff(12124,plain,
% 49.05/31.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB93, bitIndex0)) | v26(constB93) | v124(constB93, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB93, bitIndex0)) | v26(constB93) | v124(constB93, bitIndex0))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12125,plain,
% 49.05/31.50 ((v26(constB93) | v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0))) <=> ((~v121(constB93, bitIndex0)) | v26(constB93) | v124(constB93, bitIndex0))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12126,plain,
% 49.05/31.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB93) | v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB93, bitIndex0)) | v26(constB93) | v124(constB93, bitIndex0)))),
% 49.05/31.50 inference(monotonicity,[status(thm)],[12125])).
% 49.05/31.50 tff(12127,plain,
% 49.05/31.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB93) | v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB93, bitIndex0)) | v26(constB93) | v124(constB93, bitIndex0))),
% 49.05/31.50 inference(transitivity,[status(thm)],[12126, 12124])).
% 49.05/31.50 tff(12128,plain,
% 49.05/31.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB93) | v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0)))),
% 49.05/31.50 inference(quant_inst,[status(thm)],[])).
% 49.05/31.50 tff(12129,plain,
% 49.05/31.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB93, bitIndex0)) | v26(constB93) | v124(constB93, bitIndex0)),
% 49.05/31.50 inference(modus_ponens,[status(thm)],[12128, 12127])).
% 49.05/31.50 tff(12130,plain,
% 49.05/31.50 ((~v121(constB93, bitIndex0)) | v124(constB93, bitIndex0)),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12129, 607, 11990])).
% 49.05/31.50 tff(12131,plain,
% 49.05/31.50 (~v121(constB93, bitIndex0)),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12130, 12123])).
% 49.05/31.50 tff(12132,plain,
% 49.05/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v121(constB93, bitIndex0) | (~v123(constB94, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB93, constB94)) | v121(constB93, bitIndex0) | (~v123(constB94, bitIndex0)))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12133,plain,
% 49.05/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v121(constB93, bitIndex0) | (~v123(constB94, bitIndex0)))),
% 49.05/31.50 inference(quant_inst,[status(thm)],[])).
% 49.05/31.50 tff(12134,plain,
% 49.05/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB93, constB94)) | v121(constB93, bitIndex0) | (~v123(constB94, bitIndex0))),
% 49.05/31.50 inference(modus_ponens,[status(thm)],[12133, 12132])).
% 49.05/31.50 tff(12135,plain,
% 49.05/31.50 (v121(constB93, bitIndex0) | (~v123(constB94, bitIndex0))),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12134, 637, 12005])).
% 49.05/31.50 tff(12136,plain,
% 49.05/31.50 (~v123(constB94, bitIndex0)),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12135, 12131])).
% 49.05/31.50 tff(12137,plain,
% 49.05/31.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0) | (~v94(constB94)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0) | (~v94(constB94)))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12138,plain,
% 49.05/31.50 (((~v84(constB94, bitIndex0)) | (~v94(constB94)) | v123(constB94, bitIndex0)) <=> ((~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0) | (~v94(constB94)))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12139,plain,
% 49.05/31.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | (~v94(constB94)) | v123(constB94, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0) | (~v94(constB94))))),
% 49.05/31.50 inference(monotonicity,[status(thm)],[12138])).
% 49.05/31.50 tff(12140,plain,
% 49.05/31.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | (~v94(constB94)) | v123(constB94, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0) | (~v94(constB94)))),
% 49.05/31.50 inference(transitivity,[status(thm)],[12139, 12137])).
% 49.05/31.50 tff(12141,plain,
% 49.05/31.50 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | (~v94(constB94)) | v123(constB94, bitIndex0))),
% 49.05/31.50 inference(quant_inst,[status(thm)],[])).
% 49.05/31.50 tff(12142,plain,
% 49.05/31.50 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0) | (~v94(constB94))),
% 49.05/31.50 inference(modus_ponens,[status(thm)],[12141, 12140])).
% 49.05/31.50 tff(12143,plain,
% 49.05/31.50 ((~v84(constB94, bitIndex0)) | (~v94(constB94))),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12142, 652, 12136])).
% 49.05/31.50 tff(12144,plain,
% 49.05/31.50 (~v84(constB94, bitIndex0)),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12143, 12039])).
% 49.05/31.50 tff(12145,plain,
% 49.05/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex0)))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12146,plain,
% 49.05/31.50 (((~nextState(constB94, constB95)) | v84(constB94, bitIndex0) | v94(constB95) | (~v84(constB95, bitIndex0))) <=> (v84(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex0)))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12147,plain,
% 49.05/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v84(constB94, bitIndex0) | v94(constB95) | (~v84(constB95, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex0))))),
% 49.05/31.50 inference(monotonicity,[status(thm)],[12146])).
% 49.05/31.50 tff(12148,plain,
% 49.05/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v84(constB94, bitIndex0) | v94(constB95) | (~v84(constB95, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex0)))),
% 49.05/31.50 inference(transitivity,[status(thm)],[12147, 12145])).
% 49.05/31.50 tff(12149,plain,
% 49.05/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v84(constB94, bitIndex0) | v94(constB95) | (~v84(constB95, bitIndex0)))),
% 49.05/31.50 inference(quant_inst,[status(thm)],[])).
% 49.05/31.50 tff(12150,plain,
% 49.05/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex0))),
% 49.05/31.50 inference(modus_ponens,[status(thm)],[12149, 12148])).
% 49.05/31.50 tff(12151,plain,
% 49.05/31.50 (v84(constB94, bitIndex0) | v94(constB95) | (~v84(constB95, bitIndex0))),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12150, 184, 12067])).
% 49.05/31.50 tff(12152,plain,
% 49.05/31.50 (v84(constB94, bitIndex0) | (~v84(constB95, bitIndex0))),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12151, 12079])).
% 49.05/31.50 tff(12153,plain,
% 49.05/31.50 (~v84(constB95, bitIndex0)),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12152, 12144])).
% 49.05/31.50 tff(12154,plain,
% 49.05/31.50 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)) | v119(constB95))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)) | v119(constB95))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12155,plain,
% 49.05/31.50 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)) | v119(constB95))),
% 49.05/31.50 inference(quant_inst,[status(thm)],[])).
% 49.05/31.50 tff(12156,plain,
% 49.05/31.50 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)) | v119(constB95)),
% 49.05/31.50 inference(modus_ponens,[status(thm)],[12155, 12154])).
% 49.05/31.50 tff(12157,plain,
% 49.05/31.50 (v119(constB95)),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12156, 965, 12153, 12119, 12088])).
% 49.05/31.50 tff(12158,plain,
% 49.05/31.50 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB95)) | v107(constB95))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB95)) | v107(constB95))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12159,plain,
% 49.05/31.50 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB95)) | v107(constB95))),
% 49.05/31.50 inference(quant_inst,[status(thm)],[])).
% 49.05/31.50 tff(12160,plain,
% 49.05/31.50 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB95)) | v107(constB95)),
% 49.05/31.50 inference(modus_ponens,[status(thm)],[12159, 12158])).
% 49.05/31.50 tff(12161,plain,
% 49.05/31.50 (v107(constB95)),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12160, 976, 12157])).
% 49.05/31.50 tff(12162,assumption,(v26(constB95)), introduced(assumption)).
% 49.05/31.50 tff(12163,plain,
% 49.05/31.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB95))),
% 49.05/31.50 inference(quant_inst,[status(thm)],[])).
% 49.05/31.50 tff(12164,plain,
% 49.05/31.50 ($false),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12163, 55, 12162])).
% 49.05/31.50 tff(12165,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.50 tff(12166,plain,
% 49.05/31.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | (~v107(constB95)) | v106(constB95))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12167,plain,
% 49.05/31.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))),
% 49.05/31.50 inference(quant_inst,[status(thm)],[])).
% 49.05/31.50 tff(12168,plain,
% 49.05/31.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | (~v107(constB95)) | v106(constB95)),
% 49.05/31.50 inference(modus_ponens,[status(thm)],[12167, 12166])).
% 49.05/31.50 tff(12169,plain,
% 49.05/31.50 ((~v107(constB95)) | v106(constB95)),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12168, 348, 12165])).
% 49.05/31.50 tff(12170,plain,
% 49.05/31.50 (v106(constB95)),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12169, 12161])).
% 49.05/31.50 tff(12171,plain,
% 49.05/31.50 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB95) | (~v106(constB95)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB95) | (~v106(constB95)))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12172,plain,
% 49.05/31.50 (((~v106(constB95)) | v102(constB95)) <=> (v102(constB95) | (~v106(constB95)))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12173,plain,
% 49.05/31.50 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB95)) | v102(constB95))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB95) | (~v106(constB95))))),
% 49.05/31.50 inference(monotonicity,[status(thm)],[12172])).
% 49.05/31.50 tff(12174,plain,
% 49.05/31.50 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB95)) | v102(constB95))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB95) | (~v106(constB95)))),
% 49.05/31.50 inference(transitivity,[status(thm)],[12173, 12171])).
% 49.05/31.50 tff(12175,plain,
% 49.05/31.50 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB95)) | v102(constB95))),
% 49.05/31.50 inference(quant_inst,[status(thm)],[])).
% 49.05/31.50 tff(12176,plain,
% 49.05/31.50 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB95) | (~v106(constB95))),
% 49.05/31.50 inference(modus_ponens,[status(thm)],[12175, 12174])).
% 49.05/31.50 tff(12177,plain,
% 49.05/31.50 (v102(constB95)),
% 49.05/31.50 inference(unit_resolution,[status(thm)],[12176, 504, 12170])).
% 49.05/31.50 tff(12178,plain,
% 49.05/31.50 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12179,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 49.05/31.50 tff(12180,plain,
% 49.05/31.50 (nextState(constB95, constB96)),
% 49.05/31.50 inference(modus_ponens,[status(thm)],[12179, 12178])).
% 49.05/31.50 tff(12181,plain,
% 49.05/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12182,plain,
% 49.05/31.50 (((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96)) <=> ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 49.05/31.50 inference(rewrite,[status(thm)],[])).
% 49.05/31.50 tff(12183,plain,
% 49.05/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95))))),
% 49.05/31.50 inference(monotonicity,[status(thm)],[12182])).
% 49.05/31.50 tff(12184,plain,
% 49.05/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 49.05/31.50 inference(transitivity,[status(thm)],[12183, 12181])).
% 49.05/31.50 tff(12185,plain,
% 49.05/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))),
% 49.05/31.50 inference(quant_inst,[status(thm)],[])).
% 49.05/31.50 tff(12186,plain,
% 49.05/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95))),
% 49.05/31.50 inference(modus_ponens,[status(thm)],[12185, 12184])).
% 49.05/31.51 tff(12187,plain,
% 49.05/31.51 (v104(constB96) | (~v102(constB95))),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12186, 489, 12180])).
% 49.05/31.51 tff(12188,plain,
% 49.05/31.51 (v104(constB96)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12187, 12177])).
% 49.05/31.51 tff(12189,plain,
% 49.05/31.51 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12190,plain,
% 49.05/31.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))),
% 49.05/31.51 inference(quant_inst,[status(thm)],[])).
% 49.05/31.51 tff(12191,plain,
% 49.05/31.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96))),
% 49.05/31.51 inference(modus_ponens,[status(thm)],[12190, 12189])).
% 49.05/31.51 tff(12192,plain,
% 49.05/31.51 (~v98(constB96)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12191, 423, 12180, 12064])).
% 49.05/31.51 tff(12193,plain,
% 49.05/31.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12194,plain,
% 49.05/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))),
% 49.05/31.51 inference(quant_inst,[status(thm)],[])).
% 49.05/31.51 tff(12195,plain,
% 49.05/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB95, constB96)) | v96(constB96) | v98(constB96)),
% 49.05/31.51 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 49.05/31.51 tff(12196,plain,
% 49.05/31.51 (v96(constB96) | v98(constB96)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12195, 437, 12180])).
% 49.05/31.51 tff(12197,plain,
% 49.05/31.51 (v96(constB96)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12196, 12192])).
% 49.05/31.51 tff(12198,plain,
% 49.05/31.51 (v1(constB96) <=> v1(constB96)),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12199,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 49.05/31.51 tff(12200,plain,
% 49.05/31.51 (v1(constB96)),
% 49.05/31.51 inference(modus_ponens,[status(thm)],[12199, 12198])).
% 49.05/31.51 tff(12201,plain,
% 49.05/31.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12202,plain,
% 49.05/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))),
% 49.05/31.51 inference(quant_inst,[status(thm)],[])).
% 49.05/31.51 tff(12203,plain,
% 49.05/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96))),
% 49.05/31.51 inference(modus_ponens,[status(thm)],[12202, 12201])).
% 49.05/31.51 tff(12204,plain,
% 49.05/31.51 (v95(constB96) | (~v96(constB96))),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12203, 455, 12180, 12200])).
% 49.05/31.51 tff(12205,plain,
% 49.05/31.51 (v95(constB96)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12204, 12197])).
% 49.05/31.51 tff(12206,plain,
% 49.05/31.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12207,plain,
% 49.05/31.51 (((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96)) <=> ((~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12208,plain,
% 49.05/31.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96))))),
% 49.05/31.51 inference(monotonicity,[status(thm)],[12207])).
% 49.05/31.51 tff(12209,plain,
% 49.05/31.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))),
% 49.05/31.51 inference(transitivity,[status(thm)],[12208, 12206])).
% 49.05/31.51 tff(12210,plain,
% 49.05/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))),
% 49.05/31.51 inference(quant_inst,[status(thm)],[])).
% 49.05/31.51 tff(12211,plain,
% 49.05/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96))),
% 49.05/31.51 inference(modus_ponens,[status(thm)],[12210, 12209])).
% 49.05/31.51 tff(12212,plain,
% 49.05/31.51 (v94(constB96) | (~v95(constB96)) | (~v104(constB96))),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12211, 470, 12180])).
% 49.05/31.51 tff(12213,plain,
% 49.05/31.51 (v94(constB96) | (~v104(constB96))),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12212, 12205])).
% 49.05/31.51 tff(12214,plain,
% 49.05/31.51 (v94(constB96)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12213, 12188])).
% 49.05/31.51 tff(12215,plain,
% 49.05/31.51 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB95)) | (~v84(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB95)) | (~v84(constB95, bitIndex2)))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12216,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB95)) | (~v84(constB95, bitIndex2)))),
% 49.05/31.51 inference(quant_inst,[status(thm)],[])).
% 49.05/31.51 tff(12217,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB95)) | (~v84(constB95, bitIndex2))),
% 49.05/31.51 inference(modus_ponens,[status(thm)],[12216, 12215])).
% 49.05/31.51 tff(12218,plain,
% 49.05/31.51 (~v115(constB95)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12217, 1036, 12088])).
% 49.05/31.51 tff(12219,plain,
% 49.05/31.51 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB95)) | (~v84(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB95)) | (~v84(constB95, bitIndex2)))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12220,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB95)) | (~v84(constB95, bitIndex2)))),
% 49.05/31.51 inference(quant_inst,[status(thm)],[])).
% 49.05/31.51 tff(12221,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB95)) | (~v84(constB95, bitIndex2))),
% 49.05/31.51 inference(modus_ponens,[status(thm)],[12220, 12219])).
% 49.05/31.51 tff(12222,plain,
% 49.05/31.51 (~v116(constB95)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12221, 1047, 12088])).
% 49.05/31.51 tff(12223,plain,
% 49.05/31.51 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB95)) | (~v84(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB95)) | (~v84(constB95, bitIndex1)))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12224,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB95)) | (~v84(constB95, bitIndex1)))),
% 49.05/31.51 inference(quant_inst,[status(thm)],[])).
% 49.05/31.51 tff(12225,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB95)) | (~v84(constB95, bitIndex1))),
% 49.05/31.51 inference(modus_ponens,[status(thm)],[12224, 12223])).
% 49.05/31.51 tff(12226,plain,
% 49.05/31.51 (~v113(constB95)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12225, 1058, 12119])).
% 49.05/31.51 tff(12227,plain,
% 49.05/31.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB95)) | (~v84(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB95)) | (~v84(constB95, bitIndex1)))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12228,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB95)) | (~v84(constB95, bitIndex1)))),
% 49.05/31.51 inference(quant_inst,[status(thm)],[])).
% 49.05/31.51 tff(12229,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB95)) | (~v84(constB95, bitIndex1))),
% 49.05/31.51 inference(modus_ponens,[status(thm)],[12228, 12227])).
% 49.05/31.51 tff(12230,plain,
% 49.05/31.51 (~v118(constB95)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12229, 1069, 12119])).
% 49.05/31.51 tff(12231,plain,
% 49.05/31.51 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB95)) | (~v84(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB95)) | (~v84(constB95, bitIndex1)))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12232,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB95)) | (~v84(constB95, bitIndex1)))),
% 49.05/31.51 inference(quant_inst,[status(thm)],[])).
% 49.05/31.51 tff(12233,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB95)) | (~v84(constB95, bitIndex1))),
% 49.05/31.51 inference(modus_ponens,[status(thm)],[12232, 12231])).
% 49.05/31.51 tff(12234,plain,
% 49.05/31.51 (~v172(constB95)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12233, 1080, 12119])).
% 49.05/31.51 tff(12235,plain,
% 49.05/31.51 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB95)) | (~v84(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB95)) | (~v84(constB95, bitIndex1)))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12236,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB95)) | (~v84(constB95, bitIndex1)))),
% 49.05/31.51 inference(quant_inst,[status(thm)],[])).
% 49.05/31.51 tff(12237,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB95)) | (~v84(constB95, bitIndex1))),
% 49.05/31.51 inference(modus_ponens,[status(thm)],[12236, 12235])).
% 49.05/31.51 tff(12238,plain,
% 49.05/31.51 (~v145(constB95)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12237, 1091, 12119])).
% 49.05/31.51 tff(12239,plain,
% 49.05/31.51 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | (~v124(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | (~v124(constB95, bitIndex2)))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12240,plain,
% 49.05/31.51 ((v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex2))) <=> (v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | (~v124(constB95, bitIndex2)))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12241,plain,
% 49.05/31.51 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | (~v124(constB95, bitIndex2))))),
% 49.05/31.51 inference(monotonicity,[status(thm)],[12240])).
% 49.05/31.51 tff(12242,plain,
% 49.05/31.51 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | (~v124(constB95, bitIndex2)))),
% 49.05/31.51 inference(transitivity,[status(thm)],[12241, 12239])).
% 49.05/31.51 tff(12243,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex2)))),
% 49.05/31.51 inference(quant_inst,[status(thm)],[])).
% 49.05/31.51 tff(12244,plain,
% 49.05/31.51 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | (~v124(constB95, bitIndex2))),
% 49.05/31.51 inference(modus_ponens,[status(thm)],[12243, 12242])).
% 49.05/31.51 tff(12245,plain,
% 49.05/31.51 (~v124(constB95, bitIndex2)),
% 49.05/31.51 inference(unit_resolution,[status(thm)],[12244, 1170, 12238, 12234, 12230, 12226, 12222, 12218])).
% 49.05/31.51 tff(12246,plain,
% 49.05/31.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB95, bitIndex2)) | v26(constB95) | v124(constB95, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB95, bitIndex2)) | v26(constB95) | v124(constB95, bitIndex2))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12247,plain,
% 49.05/31.51 ((v26(constB95) | v124(constB95, bitIndex2) | (~v121(constB95, bitIndex2))) <=> ((~v121(constB95, bitIndex2)) | v26(constB95) | v124(constB95, bitIndex2))),
% 49.05/31.51 inference(rewrite,[status(thm)],[])).
% 49.05/31.51 tff(12248,plain,
% 49.05/31.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB95) | v124(constB95, bitIndex2) | (~v121(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB95, bitIndex2)) | v26(constB95) | v124(constB95, bitIndex2)))),
% 49.05/31.51 inference(monotonicity,[status(thm)],[12247])).
% 49.05/31.51 tff(12249,plain,
% 49.05/31.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB95) | v124(constB95, bitIndex2) | (~v121(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB95, bitIndex2)) | v26(constB95) | v124(constB95, bitIndex2))),
% 49.05/31.52 inference(transitivity,[status(thm)],[12248, 12246])).
% 49.05/31.52 tff(12250,plain,
% 49.05/31.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB95) | v124(constB95, bitIndex2) | (~v121(constB95, bitIndex2)))),
% 49.05/31.52 inference(quant_inst,[status(thm)],[])).
% 49.05/31.52 tff(12251,plain,
% 49.05/31.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB95, bitIndex2)) | v26(constB95) | v124(constB95, bitIndex2)),
% 49.05/31.52 inference(modus_ponens,[status(thm)],[12250, 12249])).
% 49.05/31.52 tff(12252,plain,
% 49.05/31.52 ((~v121(constB95, bitIndex2)) | v124(constB95, bitIndex2)),
% 49.05/31.52 inference(unit_resolution,[status(thm)],[12251, 1187, 12165])).
% 49.05/31.52 tff(12253,plain,
% 49.05/31.52 (~v121(constB95, bitIndex2)),
% 49.05/31.52 inference(unit_resolution,[status(thm)],[12252, 12245])).
% 49.05/31.52 tff(12254,plain,
% 49.05/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v121(constB95, bitIndex2) | (~v123(constB96, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB95, constB96)) | v121(constB95, bitIndex2) | (~v123(constB96, bitIndex2)))),
% 49.05/31.52 inference(rewrite,[status(thm)],[])).
% 49.05/31.52 tff(12255,plain,
% 49.05/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v121(constB95, bitIndex2) | (~v123(constB96, bitIndex2)))),
% 49.05/31.52 inference(quant_inst,[status(thm)],[])).
% 49.05/31.52 tff(12256,plain,
% 49.05/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB95, constB96)) | v121(constB95, bitIndex2) | (~v123(constB96, bitIndex2))),
% 49.05/31.52 inference(modus_ponens,[status(thm)],[12255, 12254])).
% 49.05/31.52 tff(12257,plain,
% 49.05/31.52 (v121(constB95, bitIndex2) | (~v123(constB96, bitIndex2))),
% 49.05/31.52 inference(unit_resolution,[status(thm)],[12256, 1205, 12180])).
% 49.05/31.52 tff(12258,plain,
% 49.05/31.52 (~v123(constB96, bitIndex2)),
% 49.05/31.52 inference(unit_resolution,[status(thm)],[12257, 12253])).
% 49.05/31.52 tff(12259,plain,
% 49.05/31.52 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2) | (~v94(constB96)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2) | (~v94(constB96)))),
% 49.05/31.52 inference(rewrite,[status(thm)],[])).
% 49.05/31.52 tff(12260,plain,
% 49.05/31.52 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2) | (~v94(constB96)))),
% 49.05/31.52 inference(quant_inst,[status(thm)],[])).
% 49.05/31.52 tff(12261,plain,
% 49.05/31.52 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2) | (~v94(constB96))),
% 49.05/31.52 inference(modus_ponens,[status(thm)],[12260, 12259])).
% 49.05/31.52 tff(12262,plain,
% 49.05/31.52 ((~v84(constB96, bitIndex2)) | (~v94(constB96))),
% 49.05/31.52 inference(unit_resolution,[status(thm)],[12261, 1220, 12258])).
% 49.05/31.52 tff(12263,plain,
% 49.05/31.52 (~v84(constB96, bitIndex2)),
% 49.05/31.52 inference(unit_resolution,[status(thm)],[12262, 12214])).
% 49.05/31.52 tff(12264,plain,
% 49.05/31.52 ((~v1(constB97)) <=> (~v1(constB97))),
% 49.05/31.52 inference(rewrite,[status(thm)],[])).
% 49.05/31.52 tff(12265,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 49.05/31.52 tff(12266,plain,
% 49.05/31.52 (~v1(constB97)),
% 49.05/31.52 inference(modus_ponens,[status(thm)],[12265, 12264])).
% 49.05/31.52 tff(12267,plain,
% 49.05/31.52 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 49.05/31.52 inference(rewrite,[status(thm)],[])).
% 49.05/31.52 tff(12268,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 49.05/31.52 tff(12269,plain,
% 49.05/31.52 (nextState(constB96, constB97)),
% 49.05/31.52 inference(modus_ponens,[status(thm)],[12268, 12267])).
% 49.05/31.52 tff(12270,plain,
% 49.05/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 49.05/31.52 inference(rewrite,[status(thm)],[])).
% 49.05/31.52 tff(12271,plain,
% 49.05/31.52 (((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 49.05/31.52 inference(rewrite,[status(thm)],[])).
% 49.05/31.52 tff(12272,plain,
% 49.05/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97))))),
% 49.05/31.52 inference(monotonicity,[status(thm)],[12271])).
% 49.05/31.52 tff(12273,plain,
% 49.05/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 49.05/31.52 inference(transitivity,[status(thm)],[12272, 12270])).
% 49.05/31.52 tff(12274,plain,
% 49.05/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))),
% 49.05/31.52 inference(quant_inst,[status(thm)],[])).
% 49.05/31.52 tff(12275,plain,
% 49.05/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97))),
% 49.05/31.52 inference(modus_ponens,[status(thm)],[12274, 12273])).
% 49.05/31.52 tff(12276,plain,
% 49.05/31.52 (~v95(constB97)),
% 49.05/31.52 inference(unit_resolution,[status(thm)],[12275, 110, 12269, 12266])).
% 49.05/31.52 tff(12277,plain,
% 49.05/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))),
% 49.05/31.52 inference(rewrite,[status(thm)],[])).
% 49.05/31.52 tff(12278,plain,
% 49.05/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))),
% 49.05/31.52 inference(quant_inst,[status(thm)],[])).
% 49.05/31.52 tff(12279,plain,
% 49.05/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97))),
% 49.05/31.52 inference(modus_ponens,[status(thm)],[12278, 12277])).
% 49.05/31.52 tff(12280,plain,
% 49.05/31.52 (v95(constB97) | (~v94(constB97))),
% 49.05/31.52 inference(unit_resolution,[status(thm)],[12279, 127, 12269])).
% 49.05/31.52 tff(12281,plain,
% 49.05/31.52 (~v94(constB97)),
% 49.05/31.52 inference(unit_resolution,[status(thm)],[12280, 12276])).
% 49.05/31.52 tff(12282,plain,
% 49.05/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex2)))),
% 49.05/31.52 inference(rewrite,[status(thm)],[])).
% 49.05/31.52 tff(12283,plain,
% 49.05/31.52 (((~nextState(constB96, constB97)) | v84(constB96, bitIndex2) | v94(constB97) | (~v84(constB97, bitIndex2))) <=> (v84(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex2)))),
% 49.05/31.52 inference(rewrite,[status(thm)],[])).
% 49.05/31.52 tff(12284,plain,
% 49.05/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex2) | v94(constB97) | (~v84(constB97, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex2))))),
% 49.05/31.52 inference(monotonicity,[status(thm)],[12283])).
% 49.05/31.52 tff(12285,plain,
% 49.05/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex2) | v94(constB97) | (~v84(constB97, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex2)))),
% 49.05/31.52 inference(transitivity,[status(thm)],[12284, 12282])).
% 49.05/31.52 tff(12286,plain,
% 49.05/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex2) | v94(constB97) | (~v84(constB97, bitIndex2)))),
% 49.05/31.52 inference(quant_inst,[status(thm)],[])).
% 49.05/31.52 tff(12287,plain,
% 49.05/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex2))),
% 49.05/31.52 inference(modus_ponens,[status(thm)],[12286, 12285])).
% 49.05/31.52 tff(12288,plain,
% 49.05/31.52 (v84(constB96, bitIndex2) | v94(constB97) | (~v84(constB97, bitIndex2))),
% 49.05/31.52 inference(unit_resolution,[status(thm)],[12287, 142, 12269])).
% 49.05/31.52 tff(12289,plain,
% 49.05/31.52 (v84(constB96, bitIndex2) | (~v84(constB97, bitIndex2))),
% 49.05/31.52 inference(unit_resolution,[status(thm)],[12288, 12281])).
% 49.05/31.52 tff(12290,plain,
% 49.05/31.52 (~v84(constB97, bitIndex2)),
% 49.05/31.52 inference(unit_resolution,[status(thm)],[12289, 12263])).
% 49.05/31.52 tff(12291,plain,
% 49.05/31.52 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | (~v124(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | (~v124(constB95, bitIndex1)))),
% 49.05/31.52 inference(rewrite,[status(thm)],[])).
% 49.05/31.52 tff(12292,plain,
% 49.05/31.52 ((v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex1))) <=> (v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | (~v124(constB95, bitIndex1)))),
% 49.05/31.52 inference(rewrite,[status(thm)],[])).
% 49.05/31.52 tff(12293,plain,
% 49.05/31.52 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | (~v124(constB95, bitIndex1))))),
% 49.05/31.53 inference(monotonicity,[status(thm)],[12292])).
% 49.05/31.53 tff(12294,plain,
% 49.05/31.53 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | (~v124(constB95, bitIndex1)))),
% 49.05/31.53 inference(transitivity,[status(thm)],[12293, 12291])).
% 49.05/31.53 tff(12295,plain,
% 49.05/31.53 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex1)))),
% 49.05/31.53 inference(quant_inst,[status(thm)],[])).
% 49.05/31.53 tff(12296,plain,
% 49.05/31.53 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | (~v124(constB95, bitIndex1))),
% 49.05/31.53 inference(modus_ponens,[status(thm)],[12295, 12294])).
% 49.05/31.53 tff(12297,plain,
% 49.05/31.53 (~v124(constB95, bitIndex1)),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12296, 1105, 12238, 12234, 12230, 12226, 12222, 12218])).
% 49.05/31.53 tff(12298,plain,
% 49.05/31.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB95, bitIndex1)) | v26(constB95) | v124(constB95, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB95, bitIndex1)) | v26(constB95) | v124(constB95, bitIndex1))),
% 49.05/31.53 inference(rewrite,[status(thm)],[])).
% 49.05/31.53 tff(12299,plain,
% 49.05/31.53 ((v26(constB95) | v124(constB95, bitIndex1) | (~v121(constB95, bitIndex1))) <=> ((~v121(constB95, bitIndex1)) | v26(constB95) | v124(constB95, bitIndex1))),
% 49.05/31.53 inference(rewrite,[status(thm)],[])).
% 49.05/31.53 tff(12300,plain,
% 49.05/31.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB95) | v124(constB95, bitIndex1) | (~v121(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB95, bitIndex1)) | v26(constB95) | v124(constB95, bitIndex1)))),
% 49.05/31.53 inference(monotonicity,[status(thm)],[12299])).
% 49.05/31.53 tff(12301,plain,
% 49.05/31.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB95) | v124(constB95, bitIndex1) | (~v121(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB95, bitIndex1)) | v26(constB95) | v124(constB95, bitIndex1))),
% 49.05/31.53 inference(transitivity,[status(thm)],[12300, 12298])).
% 49.05/31.53 tff(12302,plain,
% 49.05/31.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB95) | v124(constB95, bitIndex1) | (~v121(constB95, bitIndex1)))),
% 49.05/31.53 inference(quant_inst,[status(thm)],[])).
% 49.05/31.53 tff(12303,plain,
% 49.05/31.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB95, bitIndex1)) | v26(constB95) | v124(constB95, bitIndex1)),
% 49.05/31.53 inference(modus_ponens,[status(thm)],[12302, 12301])).
% 49.05/31.53 tff(12304,plain,
% 49.05/31.53 ((~v121(constB95, bitIndex1)) | v124(constB95, bitIndex1)),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12303, 233, 12165])).
% 49.05/31.53 tff(12305,plain,
% 49.05/31.53 (~v121(constB95, bitIndex1)),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12304, 12297])).
% 49.05/31.53 tff(12306,plain,
% 49.05/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB95, constB96)) | v121(constB95, bitIndex1) | (~v123(constB96, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB95, constB96)) | v121(constB95, bitIndex1) | (~v123(constB96, bitIndex1)))),
% 49.05/31.53 inference(rewrite,[status(thm)],[])).
% 49.05/31.53 tff(12307,plain,
% 49.05/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB95, constB96)) | v121(constB95, bitIndex1) | (~v123(constB96, bitIndex1)))),
% 49.05/31.53 inference(quant_inst,[status(thm)],[])).
% 49.05/31.53 tff(12308,plain,
% 49.05/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB95, constB96)) | v121(constB95, bitIndex1) | (~v123(constB96, bitIndex1))),
% 49.05/31.53 inference(modus_ponens,[status(thm)],[12307, 12306])).
% 49.05/31.53 tff(12309,plain,
% 49.05/31.53 (v121(constB95, bitIndex1) | (~v123(constB96, bitIndex1))),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12308, 254, 12180])).
% 49.05/31.53 tff(12310,plain,
% 49.05/31.53 (~v123(constB96, bitIndex1)),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12309, 12305])).
% 49.05/31.53 tff(12311,plain,
% 49.05/31.53 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1) | (~v94(constB96)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1) | (~v94(constB96)))),
% 49.05/31.53 inference(rewrite,[status(thm)],[])).
% 49.05/31.53 tff(12312,plain,
% 49.05/31.53 (((~v84(constB96, bitIndex1)) | (~v94(constB96)) | v123(constB96, bitIndex1)) <=> ((~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1) | (~v94(constB96)))),
% 49.05/31.53 inference(rewrite,[status(thm)],[])).
% 49.05/31.53 tff(12313,plain,
% 49.05/31.53 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | (~v94(constB96)) | v123(constB96, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1) | (~v94(constB96))))),
% 49.05/31.53 inference(monotonicity,[status(thm)],[12312])).
% 49.05/31.53 tff(12314,plain,
% 49.05/31.53 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | (~v94(constB96)) | v123(constB96, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1) | (~v94(constB96)))),
% 49.05/31.53 inference(transitivity,[status(thm)],[12313, 12311])).
% 49.05/31.53 tff(12315,plain,
% 49.05/31.53 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | (~v94(constB96)) | v123(constB96, bitIndex1))),
% 49.05/31.53 inference(quant_inst,[status(thm)],[])).
% 49.05/31.53 tff(12316,plain,
% 49.05/31.53 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1) | (~v94(constB96))),
% 49.05/31.53 inference(modus_ponens,[status(thm)],[12315, 12314])).
% 49.05/31.53 tff(12317,plain,
% 49.05/31.53 ((~v84(constB96, bitIndex1)) | (~v94(constB96))),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12316, 532, 12310])).
% 49.05/31.53 tff(12318,plain,
% 49.05/31.53 (~v84(constB96, bitIndex1)),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12317, 12214])).
% 49.05/31.53 tff(12319,plain,
% 49.05/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex1)))),
% 49.05/31.53 inference(rewrite,[status(thm)],[])).
% 49.05/31.53 tff(12320,plain,
% 49.05/31.53 (((~nextState(constB96, constB97)) | v84(constB96, bitIndex1) | v94(constB97) | (~v84(constB97, bitIndex1))) <=> (v84(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex1)))),
% 49.05/31.53 inference(rewrite,[status(thm)],[])).
% 49.05/31.53 tff(12321,plain,
% 49.05/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex1) | v94(constB97) | (~v84(constB97, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex1))))),
% 49.05/31.53 inference(monotonicity,[status(thm)],[12320])).
% 49.05/31.53 tff(12322,plain,
% 49.05/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex1) | v94(constB97) | (~v84(constB97, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex1)))),
% 49.05/31.53 inference(transitivity,[status(thm)],[12321, 12319])).
% 49.05/31.53 tff(12323,plain,
% 49.05/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex1) | v94(constB97) | (~v84(constB97, bitIndex1)))),
% 49.05/31.53 inference(quant_inst,[status(thm)],[])).
% 49.05/31.53 tff(12324,plain,
% 49.05/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex1))),
% 49.05/31.53 inference(modus_ponens,[status(thm)],[12323, 12322])).
% 49.05/31.53 tff(12325,plain,
% 49.05/31.53 (v84(constB96, bitIndex1) | v94(constB97) | (~v84(constB97, bitIndex1))),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12324, 163, 12269])).
% 49.05/31.53 tff(12326,plain,
% 49.05/31.53 (v84(constB96, bitIndex1) | (~v84(constB97, bitIndex1))),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12325, 12281])).
% 49.05/31.53 tff(12327,plain,
% 49.05/31.53 (~v84(constB97, bitIndex1)),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12326, 12318])).
% 49.05/31.53 tff(12328,plain,
% 49.05/31.53 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | v124(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | v124(constB95, bitIndex0))),
% 49.05/31.53 inference(rewrite,[status(thm)],[])).
% 49.05/31.53 tff(12329,plain,
% 49.05/31.53 ((v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | v124(constB95, bitIndex0)) <=> (v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | v124(constB95, bitIndex0))),
% 49.05/31.53 inference(rewrite,[status(thm)],[])).
% 49.05/31.53 tff(12330,plain,
% 49.05/31.53 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | v124(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | v124(constB95, bitIndex0)))),
% 49.05/31.53 inference(monotonicity,[status(thm)],[12329])).
% 49.05/31.53 tff(12331,plain,
% 49.05/31.53 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | v124(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | v124(constB95, bitIndex0))),
% 49.05/31.53 inference(transitivity,[status(thm)],[12330, 12328])).
% 49.05/31.53 tff(12332,plain,
% 49.05/31.53 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | v124(constB95, bitIndex0))),
% 49.05/31.53 inference(quant_inst,[status(thm)],[])).
% 49.05/31.53 tff(12333,plain,
% 49.05/31.53 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB95) | v145(constB95) | v118(constB95) | v113(constB95) | v116(constB95) | v115(constB95) | v124(constB95, bitIndex0)),
% 49.05/31.53 inference(modus_ponens,[status(thm)],[12332, 12331])).
% 49.05/31.53 tff(12334,plain,
% 49.05/31.53 (v124(constB95, bitIndex0)),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12333, 1374, 12238, 12234, 12230, 12226, 12222, 12218])).
% 49.05/31.53 tff(12335,plain,
% 49.05/31.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB95) | (~v124(constB95, bitIndex0)) | v121(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB95) | (~v124(constB95, bitIndex0)) | v121(constB95, bitIndex0))),
% 49.05/31.53 inference(rewrite,[status(thm)],[])).
% 49.05/31.53 tff(12336,plain,
% 49.05/31.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB95) | (~v124(constB95, bitIndex0)) | v121(constB95, bitIndex0))),
% 49.05/31.53 inference(quant_inst,[status(thm)],[])).
% 49.05/31.53 tff(12337,plain,
% 49.05/31.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB95) | (~v124(constB95, bitIndex0)) | v121(constB95, bitIndex0)),
% 49.05/31.53 inference(modus_ponens,[status(thm)],[12336, 12335])).
% 49.05/31.53 tff(12338,plain,
% 49.05/31.53 ((~v124(constB95, bitIndex0)) | v121(constB95, bitIndex0)),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12337, 1391, 12165])).
% 49.05/31.53 tff(12339,plain,
% 49.05/31.53 (v121(constB95, bitIndex0)),
% 49.05/31.53 inference(unit_resolution,[status(thm)],[12338, 12334])).
% 49.05/31.53 tff(12340,plain,
% 49.05/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v121(constB95, bitIndex0)) | v123(constB96, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB95, constB96)) | (~v121(constB95, bitIndex0)) | v123(constB96, bitIndex0))),
% 49.05/31.53 inference(rewrite,[status(thm)],[])).
% 49.05/31.53 tff(12341,plain,
% 49.05/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v121(constB95, bitIndex0)) | v123(constB96, bitIndex0))),
% 49.05/31.53 inference(quant_inst,[status(thm)],[])).
% 49.05/31.53 tff(12342,plain,
% 49.05/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB95, constB96)) | (~v121(constB95, bitIndex0)) | v123(constB96, bitIndex0)),
% 49.05/31.54 inference(modus_ponens,[status(thm)],[12341, 12340])).
% 49.05/31.54 tff(12343,plain,
% 49.05/31.54 ((~v121(constB95, bitIndex0)) | v123(constB96, bitIndex0)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12342, 1406, 12180])).
% 49.05/31.54 tff(12344,plain,
% 49.05/31.54 (v123(constB96, bitIndex0)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12343, 12339])).
% 49.05/31.54 tff(12345,plain,
% 49.05/31.54 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)) | (~v94(constB96)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)) | (~v94(constB96)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12346,plain,
% 49.05/31.54 ((v84(constB96, bitIndex0) | (~v94(constB96)) | (~v123(constB96, bitIndex0))) <=> (v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)) | (~v94(constB96)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12347,plain,
% 49.05/31.54 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~v94(constB96)) | (~v123(constB96, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)) | (~v94(constB96))))),
% 49.05/31.54 inference(monotonicity,[status(thm)],[12346])).
% 49.05/31.54 tff(12348,plain,
% 49.05/31.54 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~v94(constB96)) | (~v123(constB96, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)) | (~v94(constB96)))),
% 49.05/31.54 inference(transitivity,[status(thm)],[12347, 12345])).
% 49.05/31.54 tff(12349,plain,
% 49.05/31.54 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~v94(constB96)) | (~v123(constB96, bitIndex0)))),
% 49.05/31.54 inference(quant_inst,[status(thm)],[])).
% 49.05/31.54 tff(12350,plain,
% 49.05/31.54 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)) | (~v94(constB96))),
% 49.05/31.54 inference(modus_ponens,[status(thm)],[12349, 12348])).
% 49.05/31.54 tff(12351,plain,
% 49.05/31.54 (v84(constB96, bitIndex0) | (~v94(constB96))),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12350, 1421, 12344])).
% 49.05/31.54 tff(12352,plain,
% 49.05/31.54 (v84(constB96, bitIndex0)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12351, 12214])).
% 49.05/31.54 tff(12353,plain,
% 49.05/31.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex0))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12354,plain,
% 49.05/31.54 (((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex0)) | v94(constB97) | v84(constB97, bitIndex0)) <=> ((~v84(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex0))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12355,plain,
% 49.05/31.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex0)) | v94(constB97) | v84(constB97, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex0)))),
% 49.05/31.54 inference(monotonicity,[status(thm)],[12354])).
% 49.05/31.54 tff(12356,plain,
% 49.05/31.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex0)) | v94(constB97) | v84(constB97, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex0))),
% 49.05/31.54 inference(transitivity,[status(thm)],[12355, 12353])).
% 49.05/31.54 tff(12357,plain,
% 49.05/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex0)) | v94(constB97) | v84(constB97, bitIndex0))),
% 49.05/31.54 inference(quant_inst,[status(thm)],[])).
% 49.05/31.54 tff(12358,plain,
% 49.05/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex0)),
% 49.05/31.54 inference(modus_ponens,[status(thm)],[12357, 12356])).
% 49.05/31.54 tff(12359,plain,
% 49.05/31.54 ((~v84(constB96, bitIndex0)) | v94(constB97) | v84(constB97, bitIndex0)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12358, 1439, 12269])).
% 49.05/31.54 tff(12360,plain,
% 49.05/31.54 ((~v84(constB96, bitIndex0)) | v84(constB97, bitIndex0)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12359, 12281])).
% 49.05/31.54 tff(12361,plain,
% 49.05/31.54 (v84(constB97, bitIndex0)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12360, 12352])).
% 49.05/31.54 tff(12362,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | v145(constB97))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | v145(constB97))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12363,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | v145(constB97))),
% 49.05/31.54 inference(quant_inst,[status(thm)],[])).
% 49.05/31.54 tff(12364,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | v145(constB97)),
% 49.05/31.54 inference(modus_ponens,[status(thm)],[12363, 12362])).
% 49.05/31.54 tff(12365,plain,
% 49.05/31.54 (v145(constB97)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12364, 1268, 12361, 12327, 12290])).
% 49.05/31.54 tff(12366,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB97) | (~v145(constB97)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB97) | (~v145(constB97)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12367,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB97) | (~v145(constB97)))),
% 49.05/31.54 inference(quant_inst,[status(thm)],[])).
% 49.05/31.54 tff(12368,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB97) | (~v145(constB97))),
% 49.05/31.54 inference(modus_ponens,[status(thm)],[12367, 12366])).
% 49.05/31.54 tff(12369,plain,
% 49.05/31.54 (v112(constB97)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12368, 1253, 12365])).
% 49.05/31.54 tff(12370,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB97) | (~v112(constB97)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12371,plain,
% 49.05/31.54 (((~v112(constB97)) | v111(constB97)) <=> (v111(constB97) | (~v112(constB97)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12372,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB97)) | v111(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB97) | (~v112(constB97))))),
% 49.05/31.54 inference(monotonicity,[status(thm)],[12371])).
% 49.05/31.54 tff(12373,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB97)) | v111(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB97) | (~v112(constB97)))),
% 49.05/31.54 inference(transitivity,[status(thm)],[12372, 12370])).
% 49.05/31.54 tff(12374,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB97)) | v111(constB97))),
% 49.05/31.54 inference(quant_inst,[status(thm)],[])).
% 49.05/31.54 tff(12375,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB97) | (~v112(constB97))),
% 49.05/31.54 inference(modus_ponens,[status(thm)],[12374, 12373])).
% 49.05/31.54 tff(12376,plain,
% 49.05/31.54 (v111(constB97)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12375, 278, 12369])).
% 49.05/31.54 tff(12377,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB97) | (~v111(constB97)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB97) | (~v111(constB97)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12378,plain,
% 49.05/31.54 (((~v111(constB97)) | v110(constB97)) <=> (v110(constB97) | (~v111(constB97)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12379,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB97)) | v110(constB97))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB97) | (~v111(constB97))))),
% 49.05/31.54 inference(monotonicity,[status(thm)],[12378])).
% 49.05/31.54 tff(12380,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB97)) | v110(constB97))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB97) | (~v111(constB97)))),
% 49.05/31.54 inference(transitivity,[status(thm)],[12379, 12377])).
% 49.05/31.54 tff(12381,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB97)) | v110(constB97))),
% 49.05/31.54 inference(quant_inst,[status(thm)],[])).
% 49.05/31.54 tff(12382,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB97) | (~v111(constB97))),
% 49.05/31.54 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 49.05/31.54 tff(12383,plain,
% 49.05/31.54 (v110(constB97)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12382, 292, 12376])).
% 49.05/31.54 tff(12384,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB97) | (~v110(constB97)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB97) | (~v110(constB97)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12385,plain,
% 49.05/31.54 (((~v110(constB97)) | v109(constB97)) <=> (v109(constB97) | (~v110(constB97)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12386,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB97)) | v109(constB97))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB97) | (~v110(constB97))))),
% 49.05/31.54 inference(monotonicity,[status(thm)],[12385])).
% 49.05/31.54 tff(12387,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB97)) | v109(constB97))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB97) | (~v110(constB97)))),
% 49.05/31.54 inference(transitivity,[status(thm)],[12386, 12384])).
% 49.05/31.54 tff(12388,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB97)) | v109(constB97))),
% 49.05/31.54 inference(quant_inst,[status(thm)],[])).
% 49.05/31.54 tff(12389,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB97) | (~v110(constB97))),
% 49.05/31.54 inference(modus_ponens,[status(thm)],[12388, 12387])).
% 49.05/31.54 tff(12390,plain,
% 49.05/31.54 (v109(constB97)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12389, 306, 12383])).
% 49.05/31.54 tff(12391,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB97)) | v108(constB97))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12392,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB97)) | v108(constB97))),
% 49.05/31.54 inference(quant_inst,[status(thm)],[])).
% 49.05/31.54 tff(12393,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB97)) | v108(constB97)),
% 49.05/31.54 inference(modus_ponens,[status(thm)],[12392, 12391])).
% 49.05/31.54 tff(12394,plain,
% 49.05/31.54 (v108(constB97)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12393, 320, 12390])).
% 49.05/31.54 tff(12395,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB97) | (~v108(constB97)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB97) | (~v108(constB97)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12396,plain,
% 49.05/31.54 (((~v108(constB97)) | v107(constB97)) <=> (v107(constB97) | (~v108(constB97)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12397,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB97)) | v107(constB97))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB97) | (~v108(constB97))))),
% 49.05/31.54 inference(monotonicity,[status(thm)],[12396])).
% 49.05/31.54 tff(12398,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB97)) | v107(constB97))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB97) | (~v108(constB97)))),
% 49.05/31.54 inference(transitivity,[status(thm)],[12397, 12395])).
% 49.05/31.54 tff(12399,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB97)) | v107(constB97))),
% 49.05/31.54 inference(quant_inst,[status(thm)],[])).
% 49.05/31.54 tff(12400,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB97) | (~v108(constB97))),
% 49.05/31.54 inference(modus_ponens,[status(thm)],[12399, 12398])).
% 49.05/31.54 tff(12401,plain,
% 49.05/31.54 (v107(constB97)),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12400, 334, 12394])).
% 49.05/31.54 tff(12402,assumption,(v26(constB97)), introduced(assumption)).
% 49.05/31.54 tff(12403,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB97))),
% 49.05/31.54 inference(quant_inst,[status(thm)],[])).
% 49.05/31.54 tff(12404,plain,
% 49.05/31.54 ($false),
% 49.05/31.54 inference(unit_resolution,[status(thm)],[12403, 55, 12402])).
% 49.05/31.54 tff(12405,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.54 tff(12406,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | v106(constB97) | (~v107(constB97)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | v106(constB97) | (~v107(constB97)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12407,plain,
% 49.05/31.54 ((v26(constB97) | (~v107(constB97)) | v106(constB97)) <=> (v26(constB97) | v106(constB97) | (~v107(constB97)))),
% 49.05/31.54 inference(rewrite,[status(thm)],[])).
% 49.05/31.54 tff(12408,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | v106(constB97) | (~v107(constB97))))),
% 49.05/31.54 inference(monotonicity,[status(thm)],[12407])).
% 49.05/31.54 tff(12409,plain,
% 49.05/31.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | v106(constB97) | (~v107(constB97)))),
% 49.05/31.54 inference(transitivity,[status(thm)],[12408, 12406])).
% 49.05/31.54 tff(12410,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))),
% 49.05/31.54 inference(quant_inst,[status(thm)],[])).
% 49.05/31.54 tff(12411,plain,
% 49.05/31.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | v106(constB97) | (~v107(constB97))),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12410, 12409])).
% 49.05/31.55 tff(12412,plain,
% 49.05/31.55 (v106(constB97) | (~v107(constB97))),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12411, 348, 12405])).
% 49.05/31.55 tff(12413,plain,
% 49.05/31.55 (v106(constB97)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12412, 12401])).
% 49.05/31.55 tff(12414,plain,
% 49.05/31.55 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB97) | (~v106(constB97)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB97) | (~v106(constB97)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12415,plain,
% 49.05/31.55 (((~v106(constB97)) | v102(constB97)) <=> (v102(constB97) | (~v106(constB97)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12416,plain,
% 49.05/31.55 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB97)) | v102(constB97))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB97) | (~v106(constB97))))),
% 49.05/31.55 inference(monotonicity,[status(thm)],[12415])).
% 49.05/31.55 tff(12417,plain,
% 49.05/31.55 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB97)) | v102(constB97))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB97) | (~v106(constB97)))),
% 49.05/31.55 inference(transitivity,[status(thm)],[12416, 12414])).
% 49.05/31.55 tff(12418,plain,
% 49.05/31.55 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB97)) | v102(constB97))),
% 49.05/31.55 inference(quant_inst,[status(thm)],[])).
% 49.05/31.55 tff(12419,plain,
% 49.05/31.55 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB97) | (~v106(constB97))),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12418, 12417])).
% 49.05/31.55 tff(12420,plain,
% 49.05/31.55 (v102(constB97)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12419, 504, 12413])).
% 49.05/31.55 tff(12421,plain,
% 49.05/31.55 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12422,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 49.05/31.55 tff(12423,plain,
% 49.05/31.55 (nextState(constB97, constB98)),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12422, 12421])).
% 49.05/31.55 tff(12424,plain,
% 49.05/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12425,plain,
% 49.05/31.55 (((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98)) <=> ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12426,plain,
% 49.05/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97))))),
% 49.05/31.55 inference(monotonicity,[status(thm)],[12425])).
% 49.05/31.55 tff(12427,plain,
% 49.05/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 49.05/31.55 inference(transitivity,[status(thm)],[12426, 12424])).
% 49.05/31.55 tff(12428,plain,
% 49.05/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))),
% 49.05/31.55 inference(quant_inst,[status(thm)],[])).
% 49.05/31.55 tff(12429,plain,
% 49.05/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97))),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12428, 12427])).
% 49.05/31.55 tff(12430,plain,
% 49.05/31.55 (v104(constB98) | (~v102(constB97))),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12429, 489, 12423])).
% 49.05/31.55 tff(12431,plain,
% 49.05/31.55 (v104(constB98)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12430, 12420])).
% 49.05/31.55 tff(12432,plain,
% 49.05/31.55 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12433,plain,
% 49.05/31.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))),
% 49.05/31.55 inference(quant_inst,[status(thm)],[])).
% 49.05/31.55 tff(12434,plain,
% 49.05/31.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98))),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12433, 12432])).
% 49.05/31.55 tff(12435,plain,
% 49.05/31.55 (~v98(constB98)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12434, 423, 12423, 12266])).
% 49.05/31.55 tff(12436,plain,
% 49.05/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12437,plain,
% 49.05/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))),
% 49.05/31.55 inference(quant_inst,[status(thm)],[])).
% 49.05/31.55 tff(12438,plain,
% 49.05/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB97, constB98)) | v96(constB98) | v98(constB98)),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12437, 12436])).
% 49.05/31.55 tff(12439,plain,
% 49.05/31.55 (v96(constB98) | v98(constB98)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12438, 437, 12423])).
% 49.05/31.55 tff(12440,plain,
% 49.05/31.55 (v96(constB98)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12439, 12435])).
% 49.05/31.55 tff(12441,plain,
% 49.05/31.55 (v1(constB98) <=> v1(constB98)),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12442,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 49.05/31.55 tff(12443,plain,
% 49.05/31.55 (v1(constB98)),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12442, 12441])).
% 49.05/31.55 tff(12444,plain,
% 49.05/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12445,plain,
% 49.05/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))),
% 49.05/31.55 inference(quant_inst,[status(thm)],[])).
% 49.05/31.55 tff(12446,plain,
% 49.05/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98))),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12445, 12444])).
% 49.05/31.55 tff(12447,plain,
% 49.05/31.55 (v95(constB98) | (~v96(constB98))),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12446, 455, 12423, 12443])).
% 49.05/31.55 tff(12448,plain,
% 49.05/31.55 (v95(constB98)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12447, 12440])).
% 49.05/31.55 tff(12449,plain,
% 49.05/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12450,plain,
% 49.05/31.55 (((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98)) <=> ((~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12451,plain,
% 49.05/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98))))),
% 49.05/31.55 inference(monotonicity,[status(thm)],[12450])).
% 49.05/31.55 tff(12452,plain,
% 49.05/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))),
% 49.05/31.55 inference(transitivity,[status(thm)],[12451, 12449])).
% 49.05/31.55 tff(12453,plain,
% 49.05/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))),
% 49.05/31.55 inference(quant_inst,[status(thm)],[])).
% 49.05/31.55 tff(12454,plain,
% 49.05/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98))),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12453, 12452])).
% 49.05/31.55 tff(12455,plain,
% 49.05/31.55 (v94(constB98) | (~v95(constB98)) | (~v104(constB98))),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12454, 470, 12423])).
% 49.05/31.55 tff(12456,plain,
% 49.05/31.55 (v94(constB98) | (~v104(constB98))),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12455, 12448])).
% 49.05/31.55 tff(12457,plain,
% 49.05/31.55 (v94(constB98)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12456, 12431])).
% 49.05/31.55 tff(12458,plain,
% 49.05/31.55 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB97)) | (~v124(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB97)) | (~v124(constB97, bitIndex2)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12459,plain,
% 49.05/31.55 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB97)) | (~v124(constB97, bitIndex2)))),
% 49.05/31.55 inference(quant_inst,[status(thm)],[])).
% 49.05/31.55 tff(12460,plain,
% 49.05/31.55 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB97)) | (~v124(constB97, bitIndex2))),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12459, 12458])).
% 49.05/31.55 tff(12461,plain,
% 49.05/31.55 (~v124(constB97, bitIndex2)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12460, 1456, 12365])).
% 49.05/31.55 tff(12462,assumption,(v121(constB97, bitIndex2)), introduced(assumption)).
% 49.05/31.55 tff(12463,assumption,(~v124(constB97, bitIndex2)), introduced(assumption)).
% 49.05/31.55 tff(12464,plain,
% 49.05/31.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12465,plain,
% 49.05/31.55 ((v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2))) <=> ((~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12466,plain,
% 49.05/31.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2)))),
% 49.05/31.55 inference(monotonicity,[status(thm)],[12465])).
% 49.05/31.55 tff(12467,plain,
% 49.05/31.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))),
% 49.05/31.55 inference(transitivity,[status(thm)],[12466, 12464])).
% 49.05/31.55 tff(12468,plain,
% 49.05/31.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))),
% 49.05/31.55 inference(quant_inst,[status(thm)],[])).
% 49.05/31.55 tff(12469,plain,
% 49.05/31.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2)),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12468, 12467])).
% 49.05/31.55 tff(12470,plain,
% 49.05/31.55 ((~v121(constB97, bitIndex2)) | v26(constB97)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12469, 1187, 12463])).
% 49.05/31.55 tff(12471,plain,
% 49.05/31.55 (v26(constB97)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12470, 12462])).
% 49.05/31.55 tff(12472,plain,
% 49.05/31.55 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB97)) | (~v121(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB97)) | (~v121(constB97, bitIndex2)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12473,plain,
% 49.05/31.55 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB97)) | (~v121(constB97, bitIndex2)))),
% 49.05/31.55 inference(quant_inst,[status(thm)],[])).
% 49.05/31.55 tff(12474,plain,
% 49.05/31.55 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB97)) | (~v121(constB97, bitIndex2))),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12473, 12472])).
% 49.05/31.55 tff(12475,plain,
% 49.05/31.55 ($false),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12474, 2349, 12462, 12471])).
% 49.05/31.55 tff(12476,plain,((~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.55 tff(12477,plain,
% 49.05/31.55 (~v121(constB97, bitIndex2)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12476, 12461])).
% 49.05/31.55 tff(12478,plain,
% 49.05/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12479,plain,
% 49.05/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2)))),
% 49.05/31.55 inference(quant_inst,[status(thm)],[])).
% 49.05/31.55 tff(12480,plain,
% 49.05/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2))),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12479, 12478])).
% 49.05/31.55 tff(12481,plain,
% 49.05/31.55 (v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2))),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12480, 1205, 12423])).
% 49.05/31.55 tff(12482,plain,
% 49.05/31.55 (~v123(constB98, bitIndex2)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12481, 12477])).
% 49.05/31.55 tff(12483,plain,
% 49.05/31.55 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12484,plain,
% 49.05/31.55 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))),
% 49.05/31.55 inference(quant_inst,[status(thm)],[])).
% 49.05/31.55 tff(12485,plain,
% 49.05/31.55 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98))),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12484, 12483])).
% 49.05/31.55 tff(12486,plain,
% 49.05/31.55 ((~v84(constB98, bitIndex2)) | (~v94(constB98))),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12485, 1220, 12482])).
% 49.05/31.55 tff(12487,plain,
% 49.05/31.55 (~v84(constB98, bitIndex2)),
% 49.05/31.55 inference(unit_resolution,[status(thm)],[12486, 12457])).
% 49.05/31.55 tff(12488,plain,
% 49.05/31.55 ((~v1(constB99)) <=> (~v1(constB99))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12489,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 49.05/31.55 tff(12490,plain,
% 49.05/31.55 (~v1(constB99)),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12489, 12488])).
% 49.05/31.55 tff(12491,plain,
% 49.05/31.55 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12492,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 49.05/31.55 tff(12493,plain,
% 49.05/31.55 (nextState(constB98, constB99)),
% 49.05/31.55 inference(modus_ponens,[status(thm)],[12492, 12491])).
% 49.05/31.55 tff(12494,plain,
% 49.05/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 49.05/31.55 inference(rewrite,[status(thm)],[])).
% 49.05/31.55 tff(12495,plain,
% 49.05/31.55 (((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 49.05/31.56 inference(rewrite,[status(thm)],[])).
% 49.05/31.56 tff(12496,plain,
% 49.05/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99))))),
% 49.05/31.56 inference(monotonicity,[status(thm)],[12495])).
% 49.05/31.56 tff(12497,plain,
% 49.05/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 49.05/31.56 inference(transitivity,[status(thm)],[12496, 12494])).
% 49.11/31.56 tff(12498,plain,
% 49.11/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))),
% 49.11/31.56 inference(quant_inst,[status(thm)],[])).
% 49.11/31.56 tff(12499,plain,
% 49.11/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99))),
% 49.11/31.56 inference(modus_ponens,[status(thm)],[12498, 12497])).
% 49.11/31.56 tff(12500,plain,
% 49.11/31.56 (~v95(constB99)),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12499, 110, 12493, 12490])).
% 49.11/31.56 tff(12501,plain,
% 49.11/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))),
% 49.11/31.56 inference(rewrite,[status(thm)],[])).
% 49.11/31.56 tff(12502,plain,
% 49.11/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))),
% 49.11/31.56 inference(quant_inst,[status(thm)],[])).
% 49.11/31.56 tff(12503,plain,
% 49.11/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99))),
% 49.11/31.56 inference(modus_ponens,[status(thm)],[12502, 12501])).
% 49.11/31.56 tff(12504,plain,
% 49.11/31.56 (v95(constB99) | (~v94(constB99))),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12503, 127, 12493])).
% 49.11/31.56 tff(12505,plain,
% 49.11/31.56 (~v94(constB99)),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12504, 12500])).
% 49.11/31.56 tff(12506,plain,
% 49.11/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 49.11/31.56 inference(rewrite,[status(thm)],[])).
% 49.11/31.56 tff(12507,plain,
% 49.11/31.56 (((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2))) <=> (v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 49.11/31.56 inference(rewrite,[status(thm)],[])).
% 49.11/31.56 tff(12508,plain,
% 49.11/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2))))),
% 49.11/31.56 inference(monotonicity,[status(thm)],[12507])).
% 49.11/31.56 tff(12509,plain,
% 49.11/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 49.11/31.56 inference(transitivity,[status(thm)],[12508, 12506])).
% 49.11/31.56 tff(12510,plain,
% 49.11/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 49.11/31.56 inference(quant_inst,[status(thm)],[])).
% 49.11/31.56 tff(12511,plain,
% 49.11/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2))),
% 49.11/31.56 inference(modus_ponens,[status(thm)],[12510, 12509])).
% 49.11/31.56 tff(12512,plain,
% 49.11/31.56 (v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2))),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12511, 142, 12493])).
% 49.11/31.56 tff(12513,plain,
% 49.11/31.56 (v84(constB98, bitIndex2) | (~v84(constB99, bitIndex2))),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12512, 12505])).
% 49.11/31.56 tff(12514,plain,
% 49.11/31.56 (~v84(constB99, bitIndex2)),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12513, 12487])).
% 49.11/31.56 tff(12515,plain,
% 49.11/31.56 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB97)) | v124(constB97, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB97)) | v124(constB97, bitIndex1))),
% 49.11/31.56 inference(rewrite,[status(thm)],[])).
% 49.11/31.56 tff(12516,plain,
% 49.11/31.56 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB97)) | v124(constB97, bitIndex1))),
% 49.11/31.56 inference(quant_inst,[status(thm)],[])).
% 49.11/31.56 tff(12517,plain,
% 49.11/31.56 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB97)) | v124(constB97, bitIndex1)),
% 49.11/31.56 inference(modus_ponens,[status(thm)],[12516, 12515])).
% 49.11/31.56 tff(12518,plain,
% 49.11/31.56 (v124(constB97, bitIndex1)),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12517, 1512, 12365])).
% 49.11/31.56 tff(12519,plain,
% 49.11/31.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB97) | (~v124(constB97, bitIndex1)) | v121(constB97, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB97) | (~v124(constB97, bitIndex1)) | v121(constB97, bitIndex1))),
% 49.11/31.56 inference(rewrite,[status(thm)],[])).
% 49.11/31.56 tff(12520,plain,
% 49.11/31.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB97) | (~v124(constB97, bitIndex1)) | v121(constB97, bitIndex1))),
% 49.11/31.56 inference(quant_inst,[status(thm)],[])).
% 49.11/31.56 tff(12521,plain,
% 49.11/31.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB97) | (~v124(constB97, bitIndex1)) | v121(constB97, bitIndex1)),
% 49.11/31.56 inference(modus_ponens,[status(thm)],[12520, 12519])).
% 49.11/31.56 tff(12522,plain,
% 49.11/31.56 ((~v124(constB97, bitIndex1)) | v121(constB97, bitIndex1)),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12521, 857, 12405])).
% 49.11/31.56 tff(12523,plain,
% 49.11/31.56 (v121(constB97, bitIndex1)),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12522, 12518])).
% 49.11/31.56 tff(12524,plain,
% 49.11/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v121(constB97, bitIndex1)) | v123(constB98, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB97, constB98)) | (~v121(constB97, bitIndex1)) | v123(constB98, bitIndex1))),
% 49.11/31.56 inference(rewrite,[status(thm)],[])).
% 49.11/31.56 tff(12525,plain,
% 49.11/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v121(constB97, bitIndex1)) | v123(constB98, bitIndex1))),
% 49.11/31.56 inference(quant_inst,[status(thm)],[])).
% 49.11/31.56 tff(12526,plain,
% 49.11/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB97, constB98)) | (~v121(constB97, bitIndex1)) | v123(constB98, bitIndex1)),
% 49.11/31.56 inference(modus_ponens,[status(thm)],[12525, 12524])).
% 49.11/31.56 tff(12527,plain,
% 49.11/31.56 ((~v121(constB97, bitIndex1)) | v123(constB98, bitIndex1)),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12526, 872, 12423])).
% 49.11/31.56 tff(12528,plain,
% 49.11/31.56 (v123(constB98, bitIndex1)),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12527, 12523])).
% 49.11/31.56 tff(12529,plain,
% 49.11/31.56 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)) | (~v94(constB98)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)) | (~v94(constB98)))),
% 49.11/31.56 inference(rewrite,[status(thm)],[])).
% 49.11/31.56 tff(12530,plain,
% 49.11/31.56 ((v84(constB98, bitIndex1) | (~v94(constB98)) | (~v123(constB98, bitIndex1))) <=> (v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)) | (~v94(constB98)))),
% 49.11/31.56 inference(rewrite,[status(thm)],[])).
% 49.11/31.56 tff(12531,plain,
% 49.11/31.56 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~v94(constB98)) | (~v123(constB98, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)) | (~v94(constB98))))),
% 49.11/31.56 inference(monotonicity,[status(thm)],[12530])).
% 49.11/31.56 tff(12532,plain,
% 49.11/31.56 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~v94(constB98)) | (~v123(constB98, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)) | (~v94(constB98)))),
% 49.11/31.56 inference(transitivity,[status(thm)],[12531, 12529])).
% 49.11/31.56 tff(12533,plain,
% 49.11/31.56 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~v94(constB98)) | (~v123(constB98, bitIndex1)))),
% 49.11/31.56 inference(quant_inst,[status(thm)],[])).
% 49.11/31.56 tff(12534,plain,
% 49.11/31.56 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)) | (~v94(constB98))),
% 49.11/31.56 inference(modus_ponens,[status(thm)],[12533, 12532])).
% 49.11/31.56 tff(12535,plain,
% 49.11/31.56 (v84(constB98, bitIndex1) | (~v94(constB98))),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12534, 887, 12528])).
% 49.11/31.56 tff(12536,plain,
% 49.11/31.56 (v84(constB98, bitIndex1)),
% 49.11/31.56 inference(unit_resolution,[status(thm)],[12535, 12457])).
% 49.11/31.56 tff(12537,plain,
% 49.11/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex1))),
% 49.11/31.56 inference(rewrite,[status(thm)],[])).
% 49.11/31.56 tff(12538,plain,
% 49.11/31.56 (((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex1)) | v94(constB99) | v84(constB99, bitIndex1)) <=> ((~v84(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex1))),
% 49.11/31.56 inference(rewrite,[status(thm)],[])).
% 49.11/31.56 tff(12539,plain,
% 49.11/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex1)) | v94(constB99) | v84(constB99, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex1)))),
% 49.11/31.56 inference(monotonicity,[status(thm)],[12538])).
% 49.11/31.57 tff(12540,plain,
% 49.11/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex1)) | v94(constB99) | v84(constB99, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex1))),
% 49.11/31.57 inference(transitivity,[status(thm)],[12539, 12537])).
% 49.11/31.57 tff(12541,plain,
% 49.11/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex1)) | v94(constB99) | v84(constB99, bitIndex1))),
% 49.11/31.57 inference(quant_inst,[status(thm)],[])).
% 49.11/31.57 tff(12542,plain,
% 49.11/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex1)),
% 49.11/31.57 inference(modus_ponens,[status(thm)],[12541, 12540])).
% 49.11/31.57 tff(12543,plain,
% 49.11/31.57 ((~v84(constB98, bitIndex1)) | v94(constB99) | v84(constB99, bitIndex1)),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12542, 905, 12493])).
% 49.11/31.57 tff(12544,plain,
% 49.11/31.57 ((~v84(constB98, bitIndex1)) | v84(constB99, bitIndex1)),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12543, 12505])).
% 49.11/31.57 tff(12545,plain,
% 49.11/31.57 (v84(constB99, bitIndex1)),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12544, 12536])).
% 49.11/31.57 tff(12546,plain,
% 49.11/31.57 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB97)) | (~v124(constB97, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB97)) | (~v124(constB97, bitIndex0)))),
% 49.11/31.57 inference(rewrite,[status(thm)],[])).
% 49.11/31.57 tff(12547,plain,
% 49.11/31.57 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB97)) | (~v124(constB97, bitIndex0)))),
% 49.11/31.57 inference(quant_inst,[status(thm)],[])).
% 49.11/31.57 tff(12548,plain,
% 49.11/31.57 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB97)) | (~v124(constB97, bitIndex0))),
% 49.11/31.57 inference(modus_ponens,[status(thm)],[12547, 12546])).
% 49.11/31.57 tff(12549,plain,
% 49.11/31.57 (~v124(constB97, bitIndex0)),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12548, 1550, 12365])).
% 49.11/31.57 tff(12550,plain,
% 49.11/31.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB97, bitIndex0)) | v26(constB97) | v124(constB97, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB97, bitIndex0)) | v26(constB97) | v124(constB97, bitIndex0))),
% 49.11/31.57 inference(rewrite,[status(thm)],[])).
% 49.11/31.57 tff(12551,plain,
% 49.11/31.57 ((v26(constB97) | v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0))) <=> ((~v121(constB97, bitIndex0)) | v26(constB97) | v124(constB97, bitIndex0))),
% 49.11/31.57 inference(rewrite,[status(thm)],[])).
% 49.11/31.57 tff(12552,plain,
% 49.11/31.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB97) | v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB97, bitIndex0)) | v26(constB97) | v124(constB97, bitIndex0)))),
% 49.11/31.57 inference(monotonicity,[status(thm)],[12551])).
% 49.11/31.57 tff(12553,plain,
% 49.11/31.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB97) | v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB97, bitIndex0)) | v26(constB97) | v124(constB97, bitIndex0))),
% 49.11/31.57 inference(transitivity,[status(thm)],[12552, 12550])).
% 49.11/31.57 tff(12554,plain,
% 49.11/31.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB97) | v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0)))),
% 49.11/31.57 inference(quant_inst,[status(thm)],[])).
% 49.11/31.57 tff(12555,plain,
% 49.11/31.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB97, bitIndex0)) | v26(constB97) | v124(constB97, bitIndex0)),
% 49.11/31.57 inference(modus_ponens,[status(thm)],[12554, 12553])).
% 49.11/31.57 tff(12556,plain,
% 49.11/31.57 ((~v121(constB97, bitIndex0)) | v124(constB97, bitIndex0)),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12555, 607, 12405])).
% 49.11/31.57 tff(12557,plain,
% 49.11/31.57 (~v121(constB97, bitIndex0)),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12556, 12549])).
% 49.11/31.57 tff(12558,plain,
% 49.11/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex0) | (~v123(constB98, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex0) | (~v123(constB98, bitIndex0)))),
% 49.11/31.57 inference(rewrite,[status(thm)],[])).
% 49.11/31.57 tff(12559,plain,
% 49.11/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex0) | (~v123(constB98, bitIndex0)))),
% 49.11/31.57 inference(quant_inst,[status(thm)],[])).
% 49.11/31.57 tff(12560,plain,
% 49.11/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex0) | (~v123(constB98, bitIndex0))),
% 49.11/31.57 inference(modus_ponens,[status(thm)],[12559, 12558])).
% 49.11/31.57 tff(12561,plain,
% 49.11/31.57 (v121(constB97, bitIndex0) | (~v123(constB98, bitIndex0))),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12560, 637, 12423])).
% 49.11/31.57 tff(12562,plain,
% 49.11/31.57 (~v123(constB98, bitIndex0)),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12561, 12557])).
% 49.11/31.57 tff(12563,plain,
% 49.11/31.57 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0) | (~v94(constB98)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0) | (~v94(constB98)))),
% 49.11/31.57 inference(rewrite,[status(thm)],[])).
% 49.11/31.57 tff(12564,plain,
% 49.11/31.57 (((~v84(constB98, bitIndex0)) | (~v94(constB98)) | v123(constB98, bitIndex0)) <=> ((~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0) | (~v94(constB98)))),
% 49.11/31.57 inference(rewrite,[status(thm)],[])).
% 49.11/31.57 tff(12565,plain,
% 49.11/31.57 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | (~v94(constB98)) | v123(constB98, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0) | (~v94(constB98))))),
% 49.11/31.57 inference(monotonicity,[status(thm)],[12564])).
% 49.11/31.57 tff(12566,plain,
% 49.11/31.57 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | (~v94(constB98)) | v123(constB98, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0) | (~v94(constB98)))),
% 49.11/31.57 inference(transitivity,[status(thm)],[12565, 12563])).
% 49.11/31.57 tff(12567,plain,
% 49.11/31.57 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | (~v94(constB98)) | v123(constB98, bitIndex0))),
% 49.11/31.57 inference(quant_inst,[status(thm)],[])).
% 49.11/31.57 tff(12568,plain,
% 49.11/31.57 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0) | (~v94(constB98))),
% 49.11/31.57 inference(modus_ponens,[status(thm)],[12567, 12566])).
% 49.11/31.57 tff(12569,plain,
% 49.11/31.57 ((~v84(constB98, bitIndex0)) | (~v94(constB98))),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12568, 652, 12562])).
% 49.11/31.57 tff(12570,plain,
% 49.11/31.57 (~v84(constB98, bitIndex0)),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12569, 12457])).
% 49.11/31.57 tff(12571,plain,
% 49.11/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex0)))),
% 49.11/31.57 inference(rewrite,[status(thm)],[])).
% 49.11/31.57 tff(12572,plain,
% 49.11/31.57 (((~nextState(constB98, constB99)) | v84(constB98, bitIndex0) | v94(constB99) | (~v84(constB99, bitIndex0))) <=> (v84(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex0)))),
% 49.11/31.57 inference(rewrite,[status(thm)],[])).
% 49.11/31.57 tff(12573,plain,
% 49.11/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex0) | v94(constB99) | (~v84(constB99, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex0))))),
% 49.11/31.57 inference(monotonicity,[status(thm)],[12572])).
% 49.11/31.57 tff(12574,plain,
% 49.11/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex0) | v94(constB99) | (~v84(constB99, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex0)))),
% 49.11/31.57 inference(transitivity,[status(thm)],[12573, 12571])).
% 49.11/31.57 tff(12575,plain,
% 49.11/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex0) | v94(constB99) | (~v84(constB99, bitIndex0)))),
% 49.11/31.57 inference(quant_inst,[status(thm)],[])).
% 49.11/31.57 tff(12576,plain,
% 49.11/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex0))),
% 49.11/31.57 inference(modus_ponens,[status(thm)],[12575, 12574])).
% 49.11/31.57 tff(12577,plain,
% 49.11/31.57 (v84(constB98, bitIndex0) | v94(constB99) | (~v84(constB99, bitIndex0))),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12576, 184, 12493])).
% 49.11/31.57 tff(12578,plain,
% 49.11/31.57 (v84(constB98, bitIndex0) | (~v84(constB99, bitIndex0))),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12577, 12505])).
% 49.11/31.57 tff(12579,plain,
% 49.11/31.57 (~v84(constB99, bitIndex0)),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12578, 12570])).
% 49.11/31.57 tff(12580,plain,
% 49.11/31.57 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99))),
% 49.11/31.57 inference(rewrite,[status(thm)],[])).
% 49.11/31.57 tff(12581,plain,
% 49.11/31.57 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99))),
% 49.11/31.57 inference(quant_inst,[status(thm)],[])).
% 49.11/31.57 tff(12582,plain,
% 49.11/31.57 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99)),
% 49.11/31.57 inference(modus_ponens,[status(thm)],[12581, 12580])).
% 49.11/31.57 tff(12583,plain,
% 49.11/31.57 (v115(constB99)),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12582, 1594, 12579, 12545, 12514])).
% 49.11/31.57 tff(12584,plain,
% 49.11/31.57 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB99)) | (~v124(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB99)) | (~v124(constB99, bitIndex2)))),
% 49.11/31.57 inference(rewrite,[status(thm)],[])).
% 49.11/31.57 tff(12585,plain,
% 49.11/31.57 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB99)) | (~v124(constB99, bitIndex2)))),
% 49.11/31.57 inference(quant_inst,[status(thm)],[])).
% 49.11/31.57 tff(12586,plain,
% 49.11/31.57 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB99)) | (~v124(constB99, bitIndex2))),
% 49.11/31.57 inference(modus_ponens,[status(thm)],[12585, 12584])).
% 49.11/31.57 tff(12587,plain,
% 49.11/31.57 (~v124(constB99, bitIndex2)),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12586, 1690, 12583])).
% 49.11/31.57 tff(12588,assumption,(v26(constB99)), introduced(assumption)).
% 49.11/31.57 tff(12589,plain,
% 49.11/31.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB99))),
% 49.11/31.57 inference(quant_inst,[status(thm)],[])).
% 49.11/31.57 tff(12590,plain,
% 49.11/31.57 ($false),
% 49.11/31.57 inference(unit_resolution,[status(thm)],[12589, 55, 12588])).
% 49.11/31.57 tff(12591,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 49.11/31.57 tff(12592,plain,
% 49.11/31.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))),
% 49.11/31.57 inference(rewrite,[status(thm)],[])).
% 49.11/31.57 tff(12593,plain,
% 49.11/31.57 ((v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2))) <=> ((~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))),
% 49.11/31.57 inference(rewrite,[status(thm)],[])).
% 49.11/31.57 tff(12594,plain,
% 49.11/31.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2)))),
% 49.11/31.57 inference(monotonicity,[status(thm)],[12593])).
% 49.11/31.57 tff(12595,plain,
% 49.11/31.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))),
% 49.11/31.57 inference(transitivity,[status(thm)],[12594, 12592])).
% 49.11/31.57 tff(12596,plain,
% 49.11/31.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))),
% 49.11/31.57 inference(quant_inst,[status(thm)],[])).
% 49.11/31.57 tff(12597,plain,
% 49.11/31.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2)),
% 49.11/31.57 inference(modus_ponens,[status(thm)],[12596, 12595])).
% 49.11/31.57 tff(12598,plain,
% 49.11/31.57 ((~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2)),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12597, 1187, 12591])).
% 49.11/31.58 tff(12599,plain,
% 49.11/31.58 (~v121(constB99, bitIndex2)),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12598, 12587])).
% 49.11/31.58 tff(12600,plain,
% 49.11/31.58 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12601,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 49.11/31.58 tff(12602,plain,
% 49.11/31.58 (nextState(constB99, constB100)),
% 49.11/31.58 inference(modus_ponens,[status(thm)],[12601, 12600])).
% 49.11/31.58 tff(12603,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2)))),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12604,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2)))),
% 49.11/31.58 inference(quant_inst,[status(thm)],[])).
% 49.11/31.58 tff(12605,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2))),
% 49.11/31.58 inference(modus_ponens,[status(thm)],[12604, 12603])).
% 49.11/31.58 tff(12606,plain,
% 49.11/31.58 (v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2))),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12605, 1205, 12602])).
% 49.11/31.58 tff(12607,plain,
% 49.11/31.58 (~v123(constB100, bitIndex2)),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12606, 12599])).
% 49.11/31.58 tff(12608,assumption,(~v94(constB100)), introduced(assumption)).
% 49.11/31.58 tff(12609,assumption,(~v84(constB100, bitIndex1)), introduced(assumption)).
% 49.11/31.58 tff(12610,assumption,(~v84(constB100, bitIndex2)), introduced(assumption)).
% 49.11/31.58 tff(12611,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB99, bitIndex2)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB99, bitIndex2)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex2))),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12612,plain,
% 49.11/31.58 (((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex2)) | v94(constB100) | v84(constB100, bitIndex2)) <=> ((~v84(constB99, bitIndex2)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex2))),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12613,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex2)) | v94(constB100) | v84(constB100, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB99, bitIndex2)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex2)))),
% 49.11/31.58 inference(monotonicity,[status(thm)],[12612])).
% 49.11/31.58 tff(12614,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex2)) | v94(constB100) | v84(constB100, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB99, bitIndex2)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex2))),
% 49.11/31.58 inference(transitivity,[status(thm)],[12613, 12611])).
% 49.11/31.58 tff(12615,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex2)) | v94(constB100) | v84(constB100, bitIndex2))),
% 49.11/31.58 inference(quant_inst,[status(thm)],[])).
% 49.11/31.58 tff(12616,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB99, bitIndex2)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex2)),
% 49.11/31.58 inference(modus_ponens,[status(thm)],[12615, 12614])).
% 49.11/31.58 tff(12617,plain,
% 49.11/31.58 ((~v84(constB99, bitIndex2)) | v94(constB100) | v84(constB100, bitIndex2)),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12616, 576, 12602])).
% 49.11/31.58 tff(12618,plain,
% 49.11/31.58 (~v84(constB99, bitIndex2)),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12617, 12608, 12610])).
% 49.11/31.58 tff(12619,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB99, bitIndex1)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB99, bitIndex1)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex1))),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12620,plain,
% 49.11/31.58 (((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex1)) | v94(constB100) | v84(constB100, bitIndex1)) <=> ((~v84(constB99, bitIndex1)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex1))),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12621,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex1)) | v94(constB100) | v84(constB100, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB99, bitIndex1)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex1)))),
% 49.11/31.58 inference(monotonicity,[status(thm)],[12620])).
% 49.11/31.58 tff(12622,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex1)) | v94(constB100) | v84(constB100, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB99, bitIndex1)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex1))),
% 49.11/31.58 inference(transitivity,[status(thm)],[12621, 12619])).
% 49.11/31.58 tff(12623,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex1)) | v94(constB100) | v84(constB100, bitIndex1))),
% 49.11/31.58 inference(quant_inst,[status(thm)],[])).
% 49.11/31.58 tff(12624,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB99, bitIndex1)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex1)),
% 49.11/31.58 inference(modus_ponens,[status(thm)],[12623, 12622])).
% 49.11/31.58 tff(12625,plain,
% 49.11/31.58 ((~v84(constB99, bitIndex1)) | v94(constB100) | v84(constB100, bitIndex1)),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12624, 905, 12602])).
% 49.11/31.58 tff(12626,plain,
% 49.11/31.58 (~v84(constB99, bitIndex1)),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12625, 12608, 12609])).
% 49.11/31.58 tff(12627,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12628,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))),
% 49.11/31.58 inference(quant_inst,[status(thm)],[])).
% 49.11/31.58 tff(12629,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100))),
% 49.11/31.58 inference(modus_ponens,[status(thm)],[12628, 12627])).
% 49.11/31.58 tff(12630,plain,
% 49.11/31.58 (~v98(constB100)),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12629, 423, 12602, 12490])).
% 49.11/31.58 tff(12631,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12632,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))),
% 49.11/31.58 inference(quant_inst,[status(thm)],[])).
% 49.11/31.58 tff(12633,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB99, constB100)) | v96(constB100) | v98(constB100)),
% 49.11/31.58 inference(modus_ponens,[status(thm)],[12632, 12631])).
% 49.11/31.58 tff(12634,plain,
% 49.11/31.58 (v96(constB100) | v98(constB100)),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12633, 437, 12602])).
% 49.11/31.58 tff(12635,plain,
% 49.11/31.58 (v96(constB100)),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12634, 12630])).
% 49.11/31.58 tff(12636,plain,
% 49.11/31.58 (v1(constB100) <=> v1(constB100)),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12637,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 49.11/31.58 tff(12638,plain,
% 49.11/31.58 (v1(constB100)),
% 49.11/31.58 inference(modus_ponens,[status(thm)],[12637, 12636])).
% 49.11/31.58 tff(12639,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12640,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))),
% 49.11/31.58 inference(quant_inst,[status(thm)],[])).
% 49.11/31.58 tff(12641,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100))),
% 49.11/31.58 inference(modus_ponens,[status(thm)],[12640, 12639])).
% 49.11/31.58 tff(12642,plain,
% 49.11/31.58 (v95(constB100) | (~v96(constB100))),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12641, 455, 12602, 12638])).
% 49.11/31.58 tff(12643,plain,
% 49.11/31.58 (v95(constB100)),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12642, 12635])).
% 49.11/31.58 tff(12644,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12645,plain,
% 49.11/31.58 (((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100)) <=> ((~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12646,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100))))),
% 49.11/31.58 inference(monotonicity,[status(thm)],[12645])).
% 49.11/31.58 tff(12647,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))),
% 49.11/31.58 inference(transitivity,[status(thm)],[12646, 12644])).
% 49.11/31.58 tff(12648,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))),
% 49.11/31.58 inference(quant_inst,[status(thm)],[])).
% 49.11/31.58 tff(12649,plain,
% 49.11/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100))),
% 49.11/31.58 inference(modus_ponens,[status(thm)],[12648, 12647])).
% 49.11/31.58 tff(12650,plain,
% 49.11/31.58 (v94(constB100) | (~v95(constB100)) | (~v104(constB100))),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12649, 470, 12602])).
% 49.11/31.58 tff(12651,plain,
% 49.11/31.58 (v94(constB100) | (~v104(constB100))),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12650, 12643])).
% 49.11/31.58 tff(12652,plain,
% 49.11/31.58 (~v104(constB100)),
% 49.11/31.58 inference(unit_resolution,[status(thm)],[12651, 12608])).
% 49.11/31.58 tff(12653,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12654,plain,
% 49.11/31.58 (((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100)) <=> ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 49.11/31.58 inference(rewrite,[status(thm)],[])).
% 49.11/31.58 tff(12655,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99))))),
% 49.11/31.58 inference(monotonicity,[status(thm)],[12654])).
% 49.11/31.58 tff(12656,plain,
% 49.11/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 49.11/31.59 inference(transitivity,[status(thm)],[12655, 12653])).
% 49.11/31.59 tff(12657,plain,
% 49.11/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))),
% 49.11/31.59 inference(quant_inst,[status(thm)],[])).
% 49.11/31.59 tff(12658,plain,
% 49.11/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99))),
% 49.11/31.59 inference(modus_ponens,[status(thm)],[12657, 12656])).
% 49.11/31.59 tff(12659,plain,
% 49.11/31.59 (v104(constB100) | (~v102(constB99))),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12658, 489, 12602])).
% 49.11/31.59 tff(12660,plain,
% 49.11/31.59 (~v102(constB99)),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12659, 12652])).
% 49.11/31.59 tff(12661,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB99) | (~v106(constB99)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB99) | (~v106(constB99)))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12662,plain,
% 49.11/31.59 (((~v106(constB99)) | v102(constB99)) <=> (v102(constB99) | (~v106(constB99)))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12663,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB99)) | v102(constB99))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB99) | (~v106(constB99))))),
% 49.11/31.59 inference(monotonicity,[status(thm)],[12662])).
% 49.11/31.59 tff(12664,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB99)) | v102(constB99))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB99) | (~v106(constB99)))),
% 49.11/31.59 inference(transitivity,[status(thm)],[12663, 12661])).
% 49.11/31.59 tff(12665,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB99)) | v102(constB99))),
% 49.11/31.59 inference(quant_inst,[status(thm)],[])).
% 49.11/31.59 tff(12666,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB99) | (~v106(constB99))),
% 49.11/31.59 inference(modus_ponens,[status(thm)],[12665, 12664])).
% 49.11/31.59 tff(12667,plain,
% 49.11/31.59 (~v106(constB99)),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12666, 504, 12660])).
% 49.11/31.59 tff(12668,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | v106(constB99) | (~v107(constB99)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12669,plain,
% 49.11/31.59 ((v26(constB99) | (~v107(constB99)) | v106(constB99)) <=> (v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12670,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | v106(constB99) | (~v107(constB99))))),
% 49.11/31.59 inference(monotonicity,[status(thm)],[12669])).
% 49.11/31.59 tff(12671,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 49.11/31.59 inference(transitivity,[status(thm)],[12670, 12668])).
% 49.11/31.59 tff(12672,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))),
% 49.11/31.59 inference(quant_inst,[status(thm)],[])).
% 49.11/31.59 tff(12673,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99))),
% 49.11/31.59 inference(modus_ponens,[status(thm)],[12672, 12671])).
% 49.11/31.59 tff(12674,plain,
% 49.11/31.59 (v106(constB99) | (~v107(constB99))),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12673, 348, 12591])).
% 49.11/31.59 tff(12675,plain,
% 49.11/31.59 (~v107(constB99)),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12674, 12667])).
% 49.11/31.59 tff(12676,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB99)) | v107(constB99))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB99)) | v107(constB99))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12677,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB99)) | v107(constB99))),
% 49.11/31.59 inference(quant_inst,[status(thm)],[])).
% 49.11/31.59 tff(12678,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB99)) | v107(constB99)),
% 49.11/31.59 inference(modus_ponens,[status(thm)],[12677, 12676])).
% 49.11/31.59 tff(12679,plain,
% 49.11/31.59 (~v108(constB99)),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12678, 334, 12675])).
% 49.11/31.59 tff(12680,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v109(constB99)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v109(constB99)))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12681,plain,
% 49.11/31.59 (((~v109(constB99)) | v108(constB99)) <=> (v108(constB99) | (~v109(constB99)))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12682,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v109(constB99))))),
% 49.11/31.59 inference(monotonicity,[status(thm)],[12681])).
% 49.11/31.59 tff(12683,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v109(constB99)))),
% 49.11/31.59 inference(transitivity,[status(thm)],[12682, 12680])).
% 49.11/31.59 tff(12684,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB99)) | v108(constB99))),
% 49.11/31.59 inference(quant_inst,[status(thm)],[])).
% 49.11/31.59 tff(12685,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v109(constB99))),
% 49.11/31.59 inference(modus_ponens,[status(thm)],[12684, 12683])).
% 49.11/31.59 tff(12686,plain,
% 49.11/31.59 (~v109(constB99)),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12685, 320, 12679])).
% 49.11/31.59 tff(12687,assumption,(~v84(constB99, bitIndex2)), introduced(assumption)).
% 49.11/31.59 tff(12688,assumption,(~v84(constB99, bitIndex1)), introduced(assumption)).
% 49.11/31.59 tff(12689,assumption,(~v84(constB100, bitIndex0)), introduced(assumption)).
% 49.11/31.59 tff(12690,plain,
% 49.11/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex0))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12691,plain,
% 49.11/31.59 (((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex0)) | v94(constB100) | v84(constB100, bitIndex0)) <=> ((~v84(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex0))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12692,plain,
% 49.11/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex0)) | v94(constB100) | v84(constB100, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex0)))),
% 49.11/31.59 inference(monotonicity,[status(thm)],[12691])).
% 49.11/31.59 tff(12693,plain,
% 49.11/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex0)) | v94(constB100) | v84(constB100, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex0))),
% 49.11/31.59 inference(transitivity,[status(thm)],[12692, 12690])).
% 49.11/31.59 tff(12694,plain,
% 49.11/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex0)) | v94(constB100) | v84(constB100, bitIndex0))),
% 49.11/31.59 inference(quant_inst,[status(thm)],[])).
% 49.11/31.59 tff(12695,plain,
% 49.11/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex0)),
% 49.11/31.59 inference(modus_ponens,[status(thm)],[12694, 12693])).
% 49.11/31.59 tff(12696,plain,
% 49.11/31.59 ((~v84(constB99, bitIndex0)) | v94(constB100) | v84(constB100, bitIndex0)),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12695, 1439, 12602])).
% 49.11/31.59 tff(12697,plain,
% 49.11/31.59 (~v84(constB99, bitIndex0)),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12696, 12608, 12689])).
% 49.11/31.59 tff(12698,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12699,plain,
% 49.11/31.59 ((v84(constB99, bitIndex0) | v113(constB99) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2)) <=> (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12700,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB99, bitIndex0) | v113(constB99) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99)))),
% 49.11/31.59 inference(monotonicity,[status(thm)],[12699])).
% 49.11/31.59 tff(12701,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB99, bitIndex0) | v113(constB99) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99))),
% 49.11/31.59 inference(transitivity,[status(thm)],[12700, 12698])).
% 49.11/31.59 tff(12702,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB99, bitIndex0) | v113(constB99) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2))),
% 49.11/31.59 inference(quant_inst,[status(thm)],[])).
% 49.11/31.59 tff(12703,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99)),
% 49.11/31.59 inference(modus_ponens,[status(thm)],[12702, 12701])).
% 49.11/31.59 tff(12704,plain,
% 49.11/31.59 (v84(constB99, bitIndex0) | v84(constB99, bitIndex2) | v113(constB99)),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12703, 205, 12688])).
% 49.11/31.59 tff(12705,plain,
% 49.11/31.59 (v113(constB99)),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12704, 12697, 12687])).
% 49.11/31.59 tff(12706,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB99) | (~v113(constB99)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB99) | (~v113(constB99)))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12707,plain,
% 49.11/31.59 (((~v113(constB99)) | v112(constB99)) <=> (v112(constB99) | (~v113(constB99)))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12708,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB99) | (~v113(constB99))))),
% 49.11/31.59 inference(monotonicity,[status(thm)],[12707])).
% 49.11/31.59 tff(12709,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB99) | (~v113(constB99)))),
% 49.11/31.59 inference(transitivity,[status(thm)],[12708, 12706])).
% 49.11/31.59 tff(12710,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB99)) | v112(constB99))),
% 49.11/31.59 inference(quant_inst,[status(thm)],[])).
% 49.11/31.59 tff(12711,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB99) | (~v113(constB99))),
% 49.11/31.59 inference(modus_ponens,[status(thm)],[12710, 12709])).
% 49.11/31.59 tff(12712,plain,
% 49.11/31.59 (v112(constB99)),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12711, 267, 12705])).
% 49.11/31.59 tff(12713,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB99)) | v111(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB99)) | v111(constB99))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12714,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB99)) | v111(constB99))),
% 49.11/31.59 inference(quant_inst,[status(thm)],[])).
% 49.11/31.59 tff(12715,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB99)) | v111(constB99)),
% 49.11/31.59 inference(modus_ponens,[status(thm)],[12714, 12713])).
% 49.11/31.59 tff(12716,plain,
% 49.11/31.59 (v111(constB99)),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12715, 278, 12712])).
% 49.11/31.59 tff(12717,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB99) | (~v111(constB99)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB99) | (~v111(constB99)))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12718,plain,
% 49.11/31.59 (((~v111(constB99)) | v110(constB99)) <=> (v110(constB99) | (~v111(constB99)))),
% 49.11/31.59 inference(rewrite,[status(thm)],[])).
% 49.11/31.59 tff(12719,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB99)) | v110(constB99))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB99) | (~v111(constB99))))),
% 49.11/31.59 inference(monotonicity,[status(thm)],[12718])).
% 49.11/31.59 tff(12720,plain,
% 49.11/31.59 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB99)) | v110(constB99))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB99) | (~v111(constB99)))),
% 49.11/31.59 inference(transitivity,[status(thm)],[12719, 12717])).
% 49.11/31.59 tff(12721,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB99)) | v110(constB99))),
% 49.11/31.59 inference(quant_inst,[status(thm)],[])).
% 49.11/31.59 tff(12722,plain,
% 49.11/31.59 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB99) | (~v111(constB99))),
% 49.11/31.59 inference(modus_ponens,[status(thm)],[12721, 12720])).
% 49.11/31.59 tff(12723,plain,
% 49.11/31.59 (v110(constB99)),
% 49.11/31.59 inference(unit_resolution,[status(thm)],[12722, 292, 12716])).
% 49.11/31.60 tff(12724,plain,
% 49.11/31.60 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB99) | (~v110(constB99)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB99) | (~v110(constB99)))),
% 49.11/31.60 inference(rewrite,[status(thm)],[])).
% 49.11/31.60 tff(12725,plain,
% 49.11/31.60 (((~v110(constB99)) | v109(constB99)) <=> (v109(constB99) | (~v110(constB99)))),
% 49.11/31.60 inference(rewrite,[status(thm)],[])).
% 49.11/31.60 tff(12726,plain,
% 49.11/31.60 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB99)) | v109(constB99))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB99) | (~v110(constB99))))),
% 49.11/31.60 inference(monotonicity,[status(thm)],[12725])).
% 49.11/31.60 tff(12727,plain,
% 49.11/31.60 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB99)) | v109(constB99))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB99) | (~v110(constB99)))),
% 49.11/31.60 inference(transitivity,[status(thm)],[12726, 12724])).
% 49.11/31.60 tff(12728,plain,
% 49.11/31.60 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB99)) | v109(constB99))),
% 49.11/31.60 inference(quant_inst,[status(thm)],[])).
% 49.11/31.60 tff(12729,plain,
% 49.11/31.60 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB99) | (~v110(constB99))),
% 49.11/31.60 inference(modus_ponens,[status(thm)],[12728, 12727])).
% 49.11/31.60 tff(12730,plain,
% 49.11/31.60 (v109(constB99)),
% 49.11/31.60 inference(unit_resolution,[status(thm)],[12729, 306, 12723])).
% 49.11/31.60 tff(12731,plain,
% 49.11/31.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB99) | (~v26(constB99)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB99) | (~v26(constB99)))),
% 49.11/31.60 inference(rewrite,[status(thm)],[])).
% 49.11/31.60 tff(12732,plain,
% 49.11/31.60 (((~v26(constB99)) | v102(constB99)) <=> (v102(constB99) | (~v26(constB99)))),
% 49.11/31.60 inference(rewrite,[status(thm)],[])).
% 49.11/31.60 tff(12733,plain,
% 49.11/31.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB99)) | v102(constB99))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB99) | (~v26(constB99))))),
% 49.11/31.60 inference(monotonicity,[status(thm)],[12732])).
% 49.11/31.60 tff(12734,plain,
% 49.11/31.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB99)) | v102(constB99))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB99) | (~v26(constB99)))),
% 49.11/31.60 inference(transitivity,[status(thm)],[12733, 12731])).
% 49.11/31.60 tff(12735,plain,
% 49.11/31.60 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB99)) | v102(constB99))),
% 49.11/31.60 inference(quant_inst,[status(thm)],[])).
% 49.11/31.60 tff(12736,plain,
% 49.11/31.60 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB99) | (~v26(constB99))),
% 49.11/31.60 inference(modus_ponens,[status(thm)],[12735, 12734])).
% 49.11/31.60 tff(12737,plain,
% 49.11/31.60 (~v26(constB99)),
% 49.11/31.60 inference(unit_resolution,[status(thm)],[12736, 723, 12660])).
% 49.11/31.60 tff(12738,plain,
% 49.11/31.60 (~v107(constB99)),
% 49.11/31.60 inference(unit_resolution,[status(thm)],[12673, 348, 12737, 12667])).
% 49.11/31.60 tff(12739,plain,
% 49.11/31.60 (~v108(constB99)),
% 49.11/31.60 inference(unit_resolution,[status(thm)],[12678, 334, 12738])).
% 49.11/31.60 tff(12740,plain,
% 49.11/31.60 ($false),
% 49.11/31.60 inference(unit_resolution,[status(thm)],[12685, 320, 12739, 12730])).
% 49.11/31.60 tff(12741,plain,(v94(constB100) | v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | v84(constB100, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.11/31.60 tff(12742,plain,
% 49.11/31.60 (v84(constB100, bitIndex0)),
% 49.11/31.60 inference(unit_resolution,[status(thm)],[12741, 12608, 12688, 12687])).
% 49.11/31.60 tff(12743,plain,
% 49.11/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex0)))),
% 49.15/31.60 inference(rewrite,[status(thm)],[])).
% 49.15/31.60 tff(12744,plain,
% 49.15/31.60 (((~nextState(constB99, constB100)) | v84(constB99, bitIndex0) | v94(constB100) | (~v84(constB100, bitIndex0))) <=> (v84(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex0)))),
% 49.15/31.60 inference(rewrite,[status(thm)],[])).
% 49.15/31.60 tff(12745,plain,
% 49.15/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex0) | v94(constB100) | (~v84(constB100, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex0))))),
% 49.15/31.60 inference(monotonicity,[status(thm)],[12744])).
% 49.15/31.60 tff(12746,plain,
% 49.15/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex0) | v94(constB100) | (~v84(constB100, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex0)))),
% 49.15/31.60 inference(transitivity,[status(thm)],[12745, 12743])).
% 49.15/31.60 tff(12747,plain,
% 49.15/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex0) | v94(constB100) | (~v84(constB100, bitIndex0)))),
% 49.15/31.60 inference(quant_inst,[status(thm)],[])).
% 49.15/31.60 tff(12748,plain,
% 49.15/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex0))),
% 49.15/31.60 inference(modus_ponens,[status(thm)],[12747, 12746])).
% 49.15/31.60 tff(12749,plain,
% 49.15/31.60 (v84(constB99, bitIndex0) | v94(constB100) | (~v84(constB100, bitIndex0))),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12748, 184, 12602])).
% 49.15/31.60 tff(12750,plain,
% 49.15/31.60 (v84(constB99, bitIndex0)),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12749, 12742, 12608])).
% 49.15/31.60 tff(12751,plain,
% 49.15/31.60 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99))),
% 49.15/31.60 inference(rewrite,[status(thm)],[])).
% 49.15/31.60 tff(12752,plain,
% 49.15/31.60 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99))),
% 49.15/31.60 inference(quant_inst,[status(thm)],[])).
% 49.15/31.60 tff(12753,plain,
% 49.15/31.60 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99)),
% 49.15/31.60 inference(modus_ponens,[status(thm)],[12752, 12751])).
% 49.15/31.60 tff(12754,plain,
% 49.15/31.60 ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex2) | v145(constB99)),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12753, 1268, 12688])).
% 49.15/31.60 tff(12755,plain,
% 49.15/31.60 (v145(constB99)),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12754, 12750, 12687])).
% 49.15/31.60 tff(12756,plain,
% 49.15/31.60 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB99) | (~v145(constB99)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB99) | (~v145(constB99)))),
% 49.15/31.60 inference(rewrite,[status(thm)],[])).
% 49.15/31.60 tff(12757,plain,
% 49.15/31.60 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB99) | (~v145(constB99)))),
% 49.15/31.60 inference(quant_inst,[status(thm)],[])).
% 49.15/31.60 tff(12758,plain,
% 49.15/31.60 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB99) | (~v145(constB99))),
% 49.15/31.60 inference(modus_ponens,[status(thm)],[12757, 12756])).
% 49.15/31.60 tff(12759,plain,
% 49.15/31.60 (v112(constB99)),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12758, 1253, 12755])).
% 49.15/31.60 tff(12760,plain,
% 49.15/31.60 (v111(constB99)),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12715, 278, 12759])).
% 49.15/31.60 tff(12761,plain,
% 49.15/31.60 (v110(constB99)),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12722, 292, 12760])).
% 49.15/31.60 tff(12762,plain,
% 49.15/31.60 ($false),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12729, 306, 12761, 12686])).
% 49.15/31.60 tff(12763,plain,(v94(constB100) | v84(constB99, bitIndex2) | v84(constB99, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 49.15/31.60 tff(12764,plain,
% 49.15/31.60 ($false),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12763, 12626, 12618, 12608])).
% 49.15/31.60 tff(12765,plain,(v94(constB100) | v84(constB100, bitIndex1) | v84(constB100, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.15/31.60 tff(12766,plain,
% 49.15/31.60 (v84(constB100, bitIndex2)),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12765, 12609, 12608])).
% 49.15/31.60 tff(12767,plain,
% 49.15/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB99, bitIndex2) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB99, bitIndex2) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex2)))),
% 49.15/31.60 inference(rewrite,[status(thm)],[])).
% 49.15/31.60 tff(12768,plain,
% 49.15/31.60 (((~nextState(constB99, constB100)) | v84(constB99, bitIndex2) | v94(constB100) | (~v84(constB100, bitIndex2))) <=> (v84(constB99, bitIndex2) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex2)))),
% 49.15/31.60 inference(rewrite,[status(thm)],[])).
% 49.15/31.60 tff(12769,plain,
% 49.15/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex2) | v94(constB100) | (~v84(constB100, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB99, bitIndex2) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex2))))),
% 49.15/31.60 inference(monotonicity,[status(thm)],[12768])).
% 49.15/31.60 tff(12770,plain,
% 49.15/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex2) | v94(constB100) | (~v84(constB100, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB99, bitIndex2) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex2)))),
% 49.15/31.60 inference(transitivity,[status(thm)],[12769, 12767])).
% 49.15/31.60 tff(12771,plain,
% 49.15/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex2) | v94(constB100) | (~v84(constB100, bitIndex2)))),
% 49.15/31.60 inference(quant_inst,[status(thm)],[])).
% 49.15/31.60 tff(12772,plain,
% 49.15/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB99, bitIndex2) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex2))),
% 49.15/31.60 inference(modus_ponens,[status(thm)],[12771, 12770])).
% 49.15/31.60 tff(12773,plain,
% 49.15/31.60 (v84(constB99, bitIndex2) | v94(constB100) | (~v84(constB100, bitIndex2))),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12772, 142, 12602])).
% 49.15/31.60 tff(12774,plain,
% 49.15/31.60 (v84(constB99, bitIndex2)),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12773, 12766, 12608])).
% 49.15/31.60 tff(12775,plain,
% 49.15/31.60 (~v84(constB99, bitIndex1)),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12625, 12609, 12608])).
% 49.15/31.60 tff(12776,plain,
% 49.15/31.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB99)) | v108(constB99))),
% 49.15/31.60 inference(rewrite,[status(thm)],[])).
% 49.15/31.60 tff(12777,plain,
% 49.15/31.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB99)) | v108(constB99))),
% 49.15/31.60 inference(quant_inst,[status(thm)],[])).
% 49.15/31.60 tff(12778,plain,
% 49.15/31.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB99)) | v108(constB99)),
% 49.15/31.60 inference(modus_ponens,[status(thm)],[12777, 12776])).
% 49.15/31.60 tff(12779,plain,
% 49.15/31.60 (~v118(constB99)),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12778, 3053, 12679])).
% 49.15/31.60 tff(12780,plain,
% 49.15/31.60 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99))),
% 49.15/31.60 inference(rewrite,[status(thm)],[])).
% 49.15/31.60 tff(12781,plain,
% 49.15/31.60 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99))),
% 49.15/31.60 inference(quant_inst,[status(thm)],[])).
% 49.15/31.60 tff(12782,plain,
% 49.15/31.60 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99)),
% 49.15/31.60 inference(modus_ponens,[status(thm)],[12781, 12780])).
% 49.15/31.60 tff(12783,plain,
% 49.15/31.60 ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2))),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12782, 3042, 12779])).
% 49.15/31.60 tff(12784,plain,
% 49.15/31.60 (~v84(constB99, bitIndex0)),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12783, 12775, 12774])).
% 49.15/31.60 tff(12785,plain,
% 49.15/31.60 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB99) | (~v172(constB99)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB99) | (~v172(constB99)))),
% 49.15/31.60 inference(rewrite,[status(thm)],[])).
% 49.15/31.60 tff(12786,plain,
% 49.15/31.60 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB99) | (~v172(constB99)))),
% 49.15/31.60 inference(quant_inst,[status(thm)],[])).
% 49.15/31.60 tff(12787,plain,
% 49.15/31.60 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB99) | (~v172(constB99))),
% 49.15/31.60 inference(modus_ponens,[status(thm)],[12786, 12785])).
% 49.15/31.60 tff(12788,plain,
% 49.15/31.60 (~v172(constB99)),
% 49.15/31.60 inference(unit_resolution,[status(thm)],[12787, 740, 12686])).
% 49.15/31.60 tff(12789,plain,
% 49.15/31.60 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99))),
% 49.15/31.60 inference(rewrite,[status(thm)],[])).
% 49.15/31.60 tff(12790,plain,
% 49.15/31.60 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99))),
% 49.15/31.61 inference(quant_inst,[status(thm)],[])).
% 49.15/31.61 tff(12791,plain,
% 49.15/31.61 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99)),
% 49.15/31.61 inference(modus_ponens,[status(thm)],[12790, 12789])).
% 49.15/31.61 tff(12792,plain,
% 49.15/31.61 (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2))),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12791, 679, 12788])).
% 49.15/31.61 tff(12793,plain,
% 49.15/31.61 ($false),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12792, 12784, 12775, 12774])).
% 49.15/31.61 tff(12794,plain,(v84(constB100, bitIndex1) | v94(constB100)), inference(lemma,lemma(discharge,[]))).
% 49.15/31.61 tff(12795,plain,
% 49.15/31.61 (v84(constB100, bitIndex1)),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12794, 12608])).
% 49.15/31.61 tff(12796,plain,
% 49.15/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB99, bitIndex1) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB99, bitIndex1) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex1)))),
% 49.15/31.61 inference(rewrite,[status(thm)],[])).
% 49.15/31.61 tff(12797,plain,
% 49.15/31.61 (((~nextState(constB99, constB100)) | v84(constB99, bitIndex1) | v94(constB100) | (~v84(constB100, bitIndex1))) <=> (v84(constB99, bitIndex1) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex1)))),
% 49.15/31.61 inference(rewrite,[status(thm)],[])).
% 49.15/31.61 tff(12798,plain,
% 49.15/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex1) | v94(constB100) | (~v84(constB100, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB99, bitIndex1) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex1))))),
% 49.15/31.61 inference(monotonicity,[status(thm)],[12797])).
% 49.15/31.61 tff(12799,plain,
% 49.15/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex1) | v94(constB100) | (~v84(constB100, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB99, bitIndex1) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex1)))),
% 49.15/31.61 inference(transitivity,[status(thm)],[12798, 12796])).
% 49.15/31.61 tff(12800,plain,
% 49.15/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex1) | v94(constB100) | (~v84(constB100, bitIndex1)))),
% 49.15/31.61 inference(quant_inst,[status(thm)],[])).
% 49.15/31.61 tff(12801,plain,
% 49.15/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB99, bitIndex1) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex1))),
% 49.15/31.61 inference(modus_ponens,[status(thm)],[12800, 12799])).
% 49.15/31.61 tff(12802,plain,
% 49.15/31.61 (v84(constB99, bitIndex1) | v94(constB100) | (~v84(constB100, bitIndex1))),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12801, 163, 12602])).
% 49.15/31.61 tff(12803,plain,
% 49.15/31.61 (v84(constB99, bitIndex1)),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12802, 12795, 12608])).
% 49.15/31.61 tff(12804,plain,
% 49.15/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1)))),
% 49.15/31.61 inference(rewrite,[status(thm)],[])).
% 49.15/31.61 tff(12805,plain,
% 49.15/31.61 (((~nextState(constB98, constB99)) | v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1))) <=> (v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1)))),
% 49.15/31.61 inference(rewrite,[status(thm)],[])).
% 49.15/31.61 tff(12806,plain,
% 49.15/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1))))),
% 49.15/31.61 inference(monotonicity,[status(thm)],[12805])).
% 49.15/31.61 tff(12807,plain,
% 49.15/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1)))),
% 49.15/31.61 inference(transitivity,[status(thm)],[12806, 12804])).
% 49.15/31.61 tff(12808,plain,
% 49.15/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1)))),
% 49.15/31.61 inference(quant_inst,[status(thm)],[])).
% 49.15/31.61 tff(12809,plain,
% 49.15/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1))),
% 49.15/31.61 inference(modus_ponens,[status(thm)],[12808, 12807])).
% 49.15/31.61 tff(12810,plain,
% 49.15/31.61 (v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1))),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12809, 163, 12493])).
% 49.15/31.61 tff(12811,plain,
% 49.15/31.61 (v84(constB98, bitIndex1) | (~v84(constB99, bitIndex1))),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12810, 12505])).
% 49.15/31.61 tff(12812,plain,
% 49.15/31.61 (v84(constB98, bitIndex1)),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12811, 12803])).
% 49.15/31.61 tff(12813,plain,
% 49.15/31.61 (~v84(constB99, bitIndex2)),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12617, 12610, 12608])).
% 49.15/31.61 tff(12814,plain,
% 49.15/31.61 (v94(constB100)),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12765, 12609, 12610])).
% 49.15/31.61 tff(12815,plain,
% 49.15/31.61 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)) | (~v94(constB100)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)) | (~v94(constB100)))),
% 49.15/31.61 inference(rewrite,[status(thm)],[])).
% 49.15/31.61 tff(12816,plain,
% 49.15/31.61 ((v84(constB100, bitIndex2) | (~v94(constB100)) | (~v123(constB100, bitIndex2))) <=> (v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)) | (~v94(constB100)))),
% 49.15/31.61 inference(rewrite,[status(thm)],[])).
% 49.15/31.61 tff(12817,plain,
% 49.15/31.61 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~v94(constB100)) | (~v123(constB100, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)) | (~v94(constB100))))),
% 49.15/31.61 inference(monotonicity,[status(thm)],[12816])).
% 49.15/31.61 tff(12818,plain,
% 49.15/31.61 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~v94(constB100)) | (~v123(constB100, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)) | (~v94(constB100)))),
% 49.15/31.61 inference(transitivity,[status(thm)],[12817, 12815])).
% 49.15/31.61 tff(12819,plain,
% 49.15/31.61 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~v94(constB100)) | (~v123(constB100, bitIndex2)))),
% 49.15/31.61 inference(quant_inst,[status(thm)],[])).
% 49.15/31.61 tff(12820,plain,
% 49.15/31.61 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)) | (~v94(constB100))),
% 49.15/31.61 inference(modus_ponens,[status(thm)],[12819, 12818])).
% 49.15/31.61 tff(12821,plain,
% 49.15/31.61 ((~v123(constB100, bitIndex2)) | (~v94(constB100))),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12820, 405, 12610])).
% 49.15/31.61 tff(12822,plain,
% 49.15/31.61 (~v123(constB100, bitIndex2)),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12821, 12814])).
% 49.15/31.61 tff(12823,plain,
% 49.15/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex2)) | v123(constB100, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex2)) | v123(constB100, bitIndex2))),
% 49.15/31.61 inference(rewrite,[status(thm)],[])).
% 49.15/31.61 tff(12824,plain,
% 49.15/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex2)) | v123(constB100, bitIndex2))),
% 49.15/31.61 inference(quant_inst,[status(thm)],[])).
% 49.15/31.61 tff(12825,plain,
% 49.15/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex2)) | v123(constB100, bitIndex2)),
% 49.15/31.61 inference(modus_ponens,[status(thm)],[12824, 12823])).
% 49.15/31.61 tff(12826,plain,
% 49.15/31.61 ((~v121(constB99, bitIndex2)) | v123(constB100, bitIndex2)),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12825, 389, 12602])).
% 49.15/31.61 tff(12827,plain,
% 49.15/31.61 (~v121(constB99, bitIndex2)),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12826, 12822])).
% 49.15/31.61 tff(12828,plain,
% 49.15/31.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB99) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB99) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2))),
% 49.15/31.61 inference(rewrite,[status(thm)],[])).
% 49.15/31.61 tff(12829,plain,
% 49.15/31.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB99) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2))),
% 49.15/31.61 inference(quant_inst,[status(thm)],[])).
% 49.15/31.61 tff(12830,plain,
% 49.15/31.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB99) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2)),
% 49.15/31.61 inference(modus_ponens,[status(thm)],[12829, 12828])).
% 49.15/31.61 tff(12831,plain,
% 49.15/31.61 ((~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2)),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12830, 374, 12591])).
% 49.15/31.61 tff(12832,plain,
% 49.15/31.61 (~v124(constB99, bitIndex2)),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12831, 12827])).
% 49.15/31.61 tff(12833,plain,
% 49.15/31.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB99)) | v124(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB99)) | v124(constB99, bitIndex2))),
% 49.15/31.61 inference(rewrite,[status(thm)],[])).
% 49.15/31.61 tff(12834,plain,
% 49.15/31.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB99)) | v124(constB99, bitIndex2))),
% 49.15/31.61 inference(quant_inst,[status(thm)],[])).
% 49.15/31.61 tff(12835,plain,
% 49.15/31.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB99)) | v124(constB99, bitIndex2)),
% 49.15/31.61 inference(modus_ponens,[status(thm)],[12834, 12833])).
% 49.15/31.61 tff(12836,plain,
% 49.15/31.61 (~v116(constB99)),
% 49.15/31.61 inference(unit_resolution,[status(thm)],[12835, 1923, 12832])).
% 49.15/31.61 tff(12837,plain,
% 49.15/31.61 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100)))),
% 49.15/31.61 inference(rewrite,[status(thm)],[])).
% 49.15/31.61 tff(12838,plain,
% 49.15/31.61 ((v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0))) <=> (v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100)))),
% 49.15/31.61 inference(rewrite,[status(thm)],[])).
% 49.15/31.61 tff(12839,plain,
% 49.15/31.61 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100))))),
% 49.15/31.61 inference(monotonicity,[status(thm)],[12838])).
% 49.15/31.61 tff(12840,plain,
% 49.15/31.61 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100)))),
% 49.15/31.61 inference(transitivity,[status(thm)],[12839, 12837])).
% 49.15/31.61 tff(12841,plain,
% 49.15/31.61 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0)))),
% 49.15/31.61 inference(quant_inst,[status(thm)],[])).
% 49.15/31.61 tff(12842,plain,
% 49.15/31.61 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100))),
% 49.15/31.61 inference(modus_ponens,[status(thm)],[12841, 12840])).
% 49.15/31.62 tff(12843,plain,
% 49.15/31.62 ((~v123(constB100, bitIndex0)) | (~v94(constB100))),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12842, 1421, 12689])).
% 49.15/31.62 tff(12844,plain,
% 49.15/31.62 (~v123(constB100, bitIndex0)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12843, 12814])).
% 49.15/31.62 tff(12845,plain,
% 49.15/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12846,plain,
% 49.15/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0))),
% 49.15/31.62 inference(quant_inst,[status(thm)],[])).
% 49.15/31.62 tff(12847,plain,
% 49.15/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0)),
% 49.15/31.62 inference(modus_ponens,[status(thm)],[12846, 12845])).
% 49.15/31.62 tff(12848,plain,
% 49.15/31.62 ((~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12847, 1406, 12602])).
% 49.15/31.62 tff(12849,plain,
% 49.15/31.62 (~v121(constB99, bitIndex0)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12848, 12844])).
% 49.15/31.62 tff(12850,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB99) | (~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB99) | (~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12851,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB99) | (~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0))),
% 49.15/31.62 inference(quant_inst,[status(thm)],[])).
% 49.15/31.62 tff(12852,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB99) | (~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0)),
% 49.15/31.62 inference(modus_ponens,[status(thm)],[12851, 12850])).
% 49.15/31.62 tff(12853,plain,
% 49.15/31.62 ((~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12852, 1391, 12591])).
% 49.15/31.62 tff(12854,plain,
% 49.15/31.62 (~v124(constB99, bitIndex0)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12853, 12849])).
% 49.15/31.62 tff(12855,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB99)) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB99)) | v124(constB99, bitIndex0))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12856,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB99)) | v124(constB99, bitIndex0))),
% 49.15/31.62 inference(quant_inst,[status(thm)],[])).
% 49.15/31.62 tff(12857,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB99)) | v124(constB99, bitIndex0)),
% 49.15/31.62 inference(modus_ponens,[status(thm)],[12856, 12855])).
% 49.15/31.62 tff(12858,plain,
% 49.15/31.62 (~v118(constB99)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12857, 4562, 12854])).
% 49.15/31.62 tff(12859,plain,
% 49.15/31.62 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12860,plain,
% 49.15/31.62 ((v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1))) <=> (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12861,plain,
% 49.15/31.62 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100))))),
% 49.15/31.62 inference(monotonicity,[status(thm)],[12860])).
% 49.15/31.62 tff(12862,plain,
% 49.15/31.62 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))),
% 49.15/31.62 inference(transitivity,[status(thm)],[12861, 12859])).
% 49.15/31.62 tff(12863,plain,
% 49.15/31.62 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1)))),
% 49.15/31.62 inference(quant_inst,[status(thm)],[])).
% 49.15/31.62 tff(12864,plain,
% 49.15/31.62 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100))),
% 49.15/31.62 inference(modus_ponens,[status(thm)],[12863, 12862])).
% 49.15/31.62 tff(12865,plain,
% 49.15/31.62 ((~v123(constB100, bitIndex1)) | (~v94(constB100))),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12864, 887, 12609])).
% 49.15/31.62 tff(12866,plain,
% 49.15/31.62 (~v123(constB100, bitIndex1)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12865, 12814])).
% 49.15/31.62 tff(12867,plain,
% 49.15/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12868,plain,
% 49.15/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1))),
% 49.15/31.62 inference(quant_inst,[status(thm)],[])).
% 49.15/31.62 tff(12869,plain,
% 49.15/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1)),
% 49.15/31.62 inference(modus_ponens,[status(thm)],[12868, 12867])).
% 49.15/31.62 tff(12870,plain,
% 49.15/31.62 ((~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12869, 872, 12602])).
% 49.15/31.62 tff(12871,plain,
% 49.15/31.62 (~v121(constB99, bitIndex1)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12870, 12866])).
% 49.15/31.62 tff(12872,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12873,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))),
% 49.15/31.62 inference(quant_inst,[status(thm)],[])).
% 49.15/31.62 tff(12874,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1)),
% 49.15/31.62 inference(modus_ponens,[status(thm)],[12873, 12872])).
% 49.15/31.62 tff(12875,plain,
% 49.15/31.62 ((~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12874, 857, 12591])).
% 49.15/31.62 tff(12876,plain,
% 49.15/31.62 (~v124(constB99, bitIndex1)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12875, 12871])).
% 49.15/31.62 tff(12877,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB99)) | v124(constB99, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB99)) | v124(constB99, bitIndex1))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12878,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB99)) | v124(constB99, bitIndex1))),
% 49.15/31.62 inference(quant_inst,[status(thm)],[])).
% 49.15/31.62 tff(12879,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB99)) | v124(constB99, bitIndex1)),
% 49.15/31.62 inference(modus_ponens,[status(thm)],[12878, 12877])).
% 49.15/31.62 tff(12880,plain,
% 49.15/31.62 (~v145(constB99)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12879, 1512, 12876])).
% 49.15/31.62 tff(12881,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB99)) | v124(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB99)) | v124(constB99, bitIndex2))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12882,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB99)) | v124(constB99, bitIndex2))),
% 49.15/31.62 inference(quant_inst,[status(thm)],[])).
% 49.15/31.62 tff(12883,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB99)) | v124(constB99, bitIndex2)),
% 49.15/31.62 inference(modus_ponens,[status(thm)],[12882, 12881])).
% 49.15/31.62 tff(12884,plain,
% 49.15/31.62 (~v172(constB99)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12883, 691, 12832])).
% 49.15/31.62 tff(12885,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB99)) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB99)) | v124(constB99, bitIndex0))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12886,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB99)) | v124(constB99, bitIndex0))),
% 49.15/31.62 inference(quant_inst,[status(thm)],[])).
% 49.15/31.62 tff(12887,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB99)) | v124(constB99, bitIndex0)),
% 49.15/31.62 inference(modus_ponens,[status(thm)],[12886, 12885])).
% 49.15/31.62 tff(12888,plain,
% 49.15/31.62 (~v115(constB99)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12887, 1784, 12854])).
% 49.15/31.62 tff(12889,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB99)) | v124(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB99)) | v124(constB99, bitIndex2))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12890,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB99)) | v124(constB99, bitIndex2))),
% 49.15/31.62 inference(quant_inst,[status(thm)],[])).
% 49.15/31.62 tff(12891,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB99)) | v124(constB99, bitIndex2)),
% 49.15/31.62 inference(modus_ponens,[status(thm)],[12890, 12889])).
% 49.15/31.62 tff(12892,plain,
% 49.15/31.62 (~v113(constB99)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12891, 360, 12832])).
% 49.15/31.62 tff(12893,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | v124(constB99, bitIndex0))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12894,plain,
% 49.15/31.62 ((v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | v124(constB99, bitIndex0)) <=> (v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | v124(constB99, bitIndex0))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12895,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | v124(constB99, bitIndex0)))),
% 49.15/31.62 inference(monotonicity,[status(thm)],[12894])).
% 49.15/31.62 tff(12896,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | v124(constB99, bitIndex0))),
% 49.15/31.62 inference(transitivity,[status(thm)],[12895, 12893])).
% 49.15/31.62 tff(12897,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | v124(constB99, bitIndex0))),
% 49.15/31.62 inference(quant_inst,[status(thm)],[])).
% 49.15/31.62 tff(12898,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | v124(constB99, bitIndex0)),
% 49.15/31.62 inference(modus_ponens,[status(thm)],[12897, 12896])).
% 49.15/31.62 tff(12899,plain,
% 49.15/31.62 (v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12898, 1374, 12854])).
% 49.15/31.62 tff(12900,plain,
% 49.15/31.62 ($false),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12899, 12892, 12888, 12884, 12880, 12858, 12836])).
% 49.15/31.62 tff(12901,plain,(v84(constB100, bitIndex1) | v84(constB100, bitIndex2) | v84(constB100, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.15/31.62 tff(12902,plain,
% 49.15/31.62 (v84(constB100, bitIndex1)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12901, 12610, 12689])).
% 49.15/31.62 tff(12903,plain,
% 49.15/31.62 (v84(constB99, bitIndex1)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12802, 12608, 12902])).
% 49.15/31.62 tff(12904,plain,
% 49.15/31.62 (v115(constB99)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12582, 1594, 12697, 12903, 12618])).
% 49.15/31.62 tff(12905,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB99) | (~v115(constB99)))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12906,plain,
% 49.15/31.62 (((~v115(constB99)) | v111(constB99)) <=> (v111(constB99) | (~v115(constB99)))),
% 49.15/31.62 inference(rewrite,[status(thm)],[])).
% 49.15/31.62 tff(12907,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB99)) | v111(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB99) | (~v115(constB99))))),
% 49.15/31.62 inference(monotonicity,[status(thm)],[12906])).
% 49.15/31.62 tff(12908,plain,
% 49.15/31.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB99)) | v111(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB99) | (~v115(constB99)))),
% 49.15/31.62 inference(transitivity,[status(thm)],[12907, 12905])).
% 49.15/31.62 tff(12909,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB99)) | v111(constB99))),
% 49.15/31.62 inference(quant_inst,[status(thm)],[])).
% 49.15/31.62 tff(12910,plain,
% 49.15/31.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB99) | (~v115(constB99))),
% 49.15/31.62 inference(modus_ponens,[status(thm)],[12909, 12908])).
% 49.15/31.62 tff(12911,plain,
% 49.15/31.62 (v111(constB99)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12910, 1605, 12904])).
% 49.15/31.62 tff(12912,plain,
% 49.15/31.62 (v110(constB99)),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12722, 292, 12911])).
% 49.15/31.62 tff(12913,plain,
% 49.15/31.62 ($false),
% 49.15/31.62 inference(unit_resolution,[status(thm)],[12729, 306, 12912, 12686])).
% 49.15/31.63 tff(12914,plain,(v94(constB100) | v84(constB100, bitIndex2) | v84(constB100, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.15/31.63 tff(12915,plain,
% 49.15/31.63 (v84(constB100, bitIndex0)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12914, 12610, 12608])).
% 49.15/31.63 tff(12916,plain,
% 49.15/31.63 (v84(constB99, bitIndex0)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12749, 12915, 12608])).
% 49.15/31.63 tff(12917,plain,
% 49.15/31.63 (~v110(constB99)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12729, 306, 12686])).
% 49.15/31.63 tff(12918,plain,
% 49.15/31.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB99)) | v110(constB99))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB99)) | v110(constB99))),
% 49.15/31.63 inference(rewrite,[status(thm)],[])).
% 49.15/31.63 tff(12919,plain,
% 49.15/31.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB99)) | v110(constB99))),
% 49.15/31.63 inference(quant_inst,[status(thm)],[])).
% 49.15/31.63 tff(12920,plain,
% 49.15/31.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB99)) | v110(constB99)),
% 49.15/31.63 inference(modus_ponens,[status(thm)],[12919, 12918])).
% 49.15/31.63 tff(12921,plain,
% 49.15/31.63 (~v116(constB99)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12920, 1836, 12917])).
% 49.15/31.63 tff(12922,plain,
% 49.15/31.63 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB99, bitIndex0)) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB99, bitIndex0)) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v116(constB99))),
% 49.15/31.63 inference(rewrite,[status(thm)],[])).
% 49.15/31.63 tff(12923,plain,
% 49.15/31.63 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB99, bitIndex0)) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v116(constB99))),
% 49.15/31.63 inference(quant_inst,[status(thm)],[])).
% 49.15/31.63 tff(12924,plain,
% 49.15/31.63 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB99, bitIndex0)) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v116(constB99)),
% 49.15/31.63 inference(modus_ponens,[status(thm)],[12923, 12922])).
% 49.15/31.63 tff(12925,plain,
% 49.15/31.63 ((~v84(constB99, bitIndex0)) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12924, 1825, 12921])).
% 49.15/31.63 tff(12926,plain,
% 49.15/31.63 ($false),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12925, 12916, 12813, 12803])).
% 49.15/31.63 tff(12927,plain,(v84(constB100, bitIndex2) | v94(constB100)), inference(lemma,lemma(discharge,[]))).
% 49.15/31.63 tff(12928,plain,
% 49.15/31.63 (v84(constB100, bitIndex2)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12927, 12608])).
% 49.15/31.63 tff(12929,plain,
% 49.15/31.63 (v84(constB99, bitIndex2)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12773, 12928, 12608])).
% 49.15/31.63 tff(12930,plain,
% 49.15/31.63 (v84(constB98, bitIndex2)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12513, 12929])).
% 49.15/31.63 tff(12931,assumption,(~v84(constB97, bitIndex1)), introduced(assumption)).
% 49.15/31.63 tff(12932,plain,
% 49.15/31.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB97, bitIndex1) | (~nextState(constB97, constB98)) | v94(constB98) | (~v84(constB98, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB97, bitIndex1) | (~nextState(constB97, constB98)) | v94(constB98) | (~v84(constB98, bitIndex1)))),
% 49.15/31.63 inference(rewrite,[status(thm)],[])).
% 49.15/31.63 tff(12933,plain,
% 49.15/31.63 (((~nextState(constB97, constB98)) | v84(constB97, bitIndex1) | v94(constB98) | (~v84(constB98, bitIndex1))) <=> (v84(constB97, bitIndex1) | (~nextState(constB97, constB98)) | v94(constB98) | (~v84(constB98, bitIndex1)))),
% 49.15/31.63 inference(rewrite,[status(thm)],[])).
% 49.15/31.63 tff(12934,plain,
% 49.15/31.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v84(constB97, bitIndex1) | v94(constB98) | (~v84(constB98, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB97, bitIndex1) | (~nextState(constB97, constB98)) | v94(constB98) | (~v84(constB98, bitIndex1))))),
% 49.15/31.63 inference(monotonicity,[status(thm)],[12933])).
% 49.15/31.63 tff(12935,plain,
% 49.15/31.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v84(constB97, bitIndex1) | v94(constB98) | (~v84(constB98, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB97, bitIndex1) | (~nextState(constB97, constB98)) | v94(constB98) | (~v84(constB98, bitIndex1)))),
% 49.15/31.63 inference(transitivity,[status(thm)],[12934, 12932])).
% 49.15/31.63 tff(12936,plain,
% 49.15/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v84(constB97, bitIndex1) | v94(constB98) | (~v84(constB98, bitIndex1)))),
% 49.15/31.63 inference(quant_inst,[status(thm)],[])).
% 49.15/31.63 tff(12937,plain,
% 49.15/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB97, bitIndex1) | (~nextState(constB97, constB98)) | v94(constB98) | (~v84(constB98, bitIndex1))),
% 49.15/31.63 inference(modus_ponens,[status(thm)],[12936, 12935])).
% 49.15/31.63 tff(12938,plain,
% 49.15/31.63 (v84(constB97, bitIndex1) | v94(constB98) | (~v84(constB98, bitIndex1))),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12937, 163, 12423])).
% 49.15/31.63 tff(12939,plain,
% 49.15/31.63 (v94(constB98)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12938, 12812, 12931])).
% 49.15/31.63 tff(12940,plain,
% 49.15/31.63 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98)))),
% 49.15/31.63 inference(rewrite,[status(thm)],[])).
% 49.15/31.63 tff(12941,plain,
% 49.15/31.63 (((~v84(constB98, bitIndex1)) | (~v94(constB98)) | v123(constB98, bitIndex1)) <=> ((~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98)))),
% 49.15/31.63 inference(rewrite,[status(thm)],[])).
% 49.15/31.63 tff(12942,plain,
% 49.15/31.63 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~v94(constB98)) | v123(constB98, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98))))),
% 49.15/31.63 inference(monotonicity,[status(thm)],[12941])).
% 49.15/31.63 tff(12943,plain,
% 49.15/31.63 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~v94(constB98)) | v123(constB98, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98)))),
% 49.15/31.63 inference(transitivity,[status(thm)],[12942, 12940])).
% 49.15/31.63 tff(12944,plain,
% 49.15/31.63 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~v94(constB98)) | v123(constB98, bitIndex1))),
% 49.15/31.63 inference(quant_inst,[status(thm)],[])).
% 49.15/31.63 tff(12945,plain,
% 49.15/31.63 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98))),
% 49.15/31.63 inference(modus_ponens,[status(thm)],[12944, 12943])).
% 49.15/31.63 tff(12946,plain,
% 49.15/31.63 (v123(constB98, bitIndex1)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12945, 532, 12939, 12812])).
% 49.15/31.63 tff(12947,plain,
% 49.15/31.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1)))),
% 49.15/31.63 inference(rewrite,[status(thm)],[])).
% 49.15/31.63 tff(12948,plain,
% 49.15/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1)))),
% 49.15/31.63 inference(quant_inst,[status(thm)],[])).
% 49.15/31.63 tff(12949,plain,
% 49.15/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1))),
% 49.15/31.63 inference(modus_ponens,[status(thm)],[12948, 12947])).
% 49.15/31.63 tff(12950,plain,
% 49.15/31.63 (v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1))),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12949, 254, 12423])).
% 49.15/31.63 tff(12951,plain,
% 49.15/31.63 (v121(constB97, bitIndex1)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12950, 12946])).
% 49.15/31.63 tff(12952,plain,
% 49.15/31.63 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))) | ((~v26(constB97)) | (~v121(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))) | (~v26(constB97)) | (~v121(constB97, bitIndex1)))),
% 49.15/31.63 inference(rewrite,[status(thm)],[])).
% 49.15/31.63 tff(12953,plain,
% 49.15/31.63 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))) | ((~v26(constB97)) | (~v121(constB97, bitIndex1)))),
% 49.15/31.63 inference(quant_inst,[status(thm)],[])).
% 49.15/31.63 tff(12954,plain,
% 49.15/31.63 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))) | (~v26(constB97)) | (~v121(constB97, bitIndex1))),
% 49.15/31.63 inference(modus_ponens,[status(thm)],[12953, 12952])).
% 49.15/31.63 tff(12955,plain,
% 49.15/31.63 (~v26(constB97)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12954, 2414, 12951])).
% 49.15/31.63 tff(12956,assumption,(v94(constB98)), introduced(assumption)).
% 49.15/31.63 tff(12957,assumption,(v84(constB98, bitIndex2)), introduced(assumption)).
% 49.15/31.63 tff(12958,plain,
% 49.15/31.63 (v123(constB98, bitIndex2) | (~v94(constB98))),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12485, 1220, 12957])).
% 49.15/31.63 tff(12959,plain,
% 49.15/31.63 (v123(constB98, bitIndex2)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12958, 12956])).
% 49.15/31.63 tff(12960,plain,
% 49.15/31.63 (v121(constB97, bitIndex2)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12481, 12959])).
% 49.15/31.63 tff(12961,assumption,(~v26(constB97)), introduced(assumption)).
% 49.15/31.63 tff(12962,plain,
% 49.15/31.63 ((~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12469, 1187, 12961])).
% 49.15/31.63 tff(12963,plain,
% 49.15/31.63 (v124(constB97, bitIndex2)),
% 49.15/31.63 inference(unit_resolution,[status(thm)],[12962, 12960])).
% 49.15/31.63 tff(12964,plain,
% 49.15/31.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v118(constB97)) | (~v124(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v118(constB97)) | (~v124(constB97, bitIndex2)))),
% 49.15/31.63 inference(rewrite,[status(thm)],[])).
% 49.15/31.63 tff(12965,plain,
% 49.15/31.63 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v118(constB97)) | (~v124(constB97, bitIndex2)))),
% 49.15/31.63 inference(quant_inst,[status(thm)],[])).
% 49.15/31.63 tff(12966,plain,
% 49.15/31.63 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v118(constB97)) | (~v124(constB97, bitIndex2))),
% 49.15/31.63 inference(modus_ponens,[status(thm)],[12965, 12964])).
% 49.15/31.64 tff(12967,plain,
% 49.15/31.64 (~v118(constB97)),
% 49.15/31.64 inference(unit_resolution,[status(thm)],[12966, 3600, 12963])).
% 49.15/31.64 tff(12968,plain,
% 49.15/31.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB97)) | (~v124(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB97)) | (~v124(constB97, bitIndex2)))),
% 49.15/31.64 inference(rewrite,[status(thm)],[])).
% 49.15/31.64 tff(12969,plain,
% 49.15/31.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB97)) | (~v124(constB97, bitIndex2)))),
% 49.15/31.64 inference(quant_inst,[status(thm)],[])).
% 49.15/31.64 tff(12970,plain,
% 49.15/31.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB97)) | (~v124(constB97, bitIndex2))),
% 49.15/31.64 inference(modus_ponens,[status(thm)],[12969, 12968])).
% 49.15/31.64 tff(12971,plain,
% 49.15/31.64 (~v115(constB97)),
% 49.15/31.64 inference(unit_resolution,[status(thm)],[12970, 1690, 12963])).
% 49.15/31.64 tff(12972,plain,
% 49.15/31.64 (~v145(constB97)),
% 49.15/31.64 inference(unit_resolution,[status(thm)],[12460, 1456, 12963])).
% 49.15/31.64 tff(12973,assumption,(v84(constB98, bitIndex1)), introduced(assumption)).
% 49.15/31.64 tff(12974,plain,
% 49.15/31.64 (v123(constB98, bitIndex1) | (~v94(constB98))),
% 49.15/31.64 inference(unit_resolution,[status(thm)],[12945, 532, 12973])).
% 49.15/31.64 tff(12975,plain,
% 49.15/31.64 (v123(constB98, bitIndex1)),
% 49.15/31.64 inference(unit_resolution,[status(thm)],[12974, 12956])).
% 49.15/31.64 tff(12976,plain,
% 49.15/31.64 (v121(constB97, bitIndex1)),
% 49.15/31.64 inference(unit_resolution,[status(thm)],[12950, 12975])).
% 49.15/31.64 tff(12977,plain,
% 49.15/31.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1))),
% 49.15/31.64 inference(rewrite,[status(thm)],[])).
% 49.15/31.64 tff(12978,plain,
% 49.15/31.64 ((v26(constB97) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1))) <=> ((~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1))),
% 49.15/31.64 inference(rewrite,[status(thm)],[])).
% 49.15/31.64 tff(12979,plain,
% 49.15/31.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB97) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1)))),
% 49.15/31.64 inference(monotonicity,[status(thm)],[12978])).
% 49.15/31.64 tff(12980,plain,
% 49.15/31.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB97) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1))),
% 49.15/31.64 inference(transitivity,[status(thm)],[12979, 12977])).
% 49.15/31.64 tff(12981,plain,
% 49.15/31.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB97) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1)))),
% 49.15/31.64 inference(quant_inst,[status(thm)],[])).
% 49.15/31.64 tff(12982,plain,
% 49.15/31.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1)),
% 49.15/31.64 inference(modus_ponens,[status(thm)],[12981, 12980])).
% 49.15/31.64 tff(12983,plain,
% 49.15/31.64 ((~v121(constB97, bitIndex1)) | v124(constB97, bitIndex1)),
% 49.15/31.64 inference(unit_resolution,[status(thm)],[12982, 233, 12961])).
% 49.15/31.64 tff(12984,plain,
% 49.15/31.64 (v124(constB97, bitIndex1)),
% 49.15/31.64 inference(unit_resolution,[status(thm)],[12983, 12976])).
% 49.15/31.64 tff(12985,plain,
% 49.15/31.64 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB97)) | (~v124(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB97)) | (~v124(constB97, bitIndex1)))),
% 49.15/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(12986,plain,
% 49.19/31.64 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB97)) | (~v124(constB97, bitIndex1)))),
% 49.19/31.64 inference(quant_inst,[status(thm)],[])).
% 49.19/31.64 tff(12987,plain,
% 49.19/31.64 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB97)) | (~v124(constB97, bitIndex1))),
% 49.19/31.64 inference(modus_ponens,[status(thm)],[12986, 12985])).
% 49.19/31.64 tff(12988,plain,
% 49.19/31.64 (~v113(constB97)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[12987, 219, 12984])).
% 49.19/31.64 tff(12989,plain,
% 49.19/31.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB97)) | (~v124(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB97)) | (~v124(constB97, bitIndex1)))),
% 49.19/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(12990,plain,
% 49.19/31.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB97)) | (~v124(constB97, bitIndex1)))),
% 49.19/31.64 inference(quant_inst,[status(thm)],[])).
% 49.19/31.64 tff(12991,plain,
% 49.19/31.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB97)) | (~v124(constB97, bitIndex1))),
% 49.19/31.64 inference(modus_ponens,[status(thm)],[12990, 12989])).
% 49.19/31.64 tff(12992,plain,
% 49.19/31.64 (~v116(constB97)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[12991, 1979, 12984])).
% 49.19/31.64 tff(12993,assumption,(v84(constB98, bitIndex0)), introduced(assumption)).
% 49.19/31.64 tff(12994,plain,
% 49.19/31.64 (v123(constB98, bitIndex0) | (~v94(constB98))),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[12568, 652, 12993])).
% 49.19/31.64 tff(12995,plain,
% 49.19/31.64 (v123(constB98, bitIndex0)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[12994, 12956])).
% 49.19/31.64 tff(12996,plain,
% 49.19/31.64 (v121(constB97, bitIndex0)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[12561, 12995])).
% 49.19/31.64 tff(12997,plain,
% 49.19/31.64 ((~v121(constB97, bitIndex0)) | v124(constB97, bitIndex0)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[12555, 607, 12961])).
% 49.19/31.64 tff(12998,plain,
% 49.19/31.64 (v124(constB97, bitIndex0)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[12997, 12996])).
% 49.19/31.64 tff(12999,plain,
% 49.19/31.64 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB97)) | (~v124(constB97, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB97)) | (~v124(constB97, bitIndex0)))),
% 49.19/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(13000,plain,
% 49.19/31.64 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB97)) | (~v124(constB97, bitIndex0)))),
% 49.19/31.64 inference(quant_inst,[status(thm)],[])).
% 49.19/31.64 tff(13001,plain,
% 49.19/31.64 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB97)) | (~v124(constB97, bitIndex0))),
% 49.19/31.64 inference(modus_ponens,[status(thm)],[13000, 12999])).
% 49.19/31.64 tff(13002,plain,
% 49.19/31.64 (~v172(constB97)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[13001, 921, 12998])).
% 49.19/31.64 tff(13003,plain,
% 49.19/31.64 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB97, bitIndex1)) | v172(constB97) | v116(constB97) | v113(constB97) | v145(constB97) | v115(constB97) | v118(constB97))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB97, bitIndex1)) | v172(constB97) | v116(constB97) | v113(constB97) | v145(constB97) | v115(constB97) | v118(constB97))),
% 49.19/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(13004,plain,
% 49.19/31.64 ((v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex1))) <=> ((~v124(constB97, bitIndex1)) | v172(constB97) | v116(constB97) | v113(constB97) | v145(constB97) | v115(constB97) | v118(constB97))),
% 49.19/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(13005,plain,
% 49.19/31.64 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB97, bitIndex1)) | v172(constB97) | v116(constB97) | v113(constB97) | v145(constB97) | v115(constB97) | v118(constB97)))),
% 49.19/31.64 inference(monotonicity,[status(thm)],[13004])).
% 49.19/31.64 tff(13006,plain,
% 49.19/31.64 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB97, bitIndex1)) | v172(constB97) | v116(constB97) | v113(constB97) | v145(constB97) | v115(constB97) | v118(constB97))),
% 49.19/31.64 inference(transitivity,[status(thm)],[13005, 13003])).
% 49.19/31.64 tff(13007,plain,
% 49.19/31.64 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex1)))),
% 49.19/31.64 inference(quant_inst,[status(thm)],[])).
% 49.19/31.64 tff(13008,plain,
% 49.19/31.64 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB97, bitIndex1)) | v172(constB97) | v116(constB97) | v113(constB97) | v145(constB97) | v115(constB97) | v118(constB97)),
% 49.19/31.64 inference(modus_ponens,[status(thm)],[13007, 13006])).
% 49.19/31.64 tff(13009,plain,
% 49.19/31.64 (v172(constB97) | v116(constB97) | v113(constB97) | v145(constB97) | v115(constB97) | v118(constB97)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[13008, 1105, 12984])).
% 49.19/31.64 tff(13010,plain,
% 49.19/31.64 ($false),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[13009, 13002, 12992, 12988, 12972, 12971, 12967])).
% 49.19/31.64 tff(13011,plain,((~v94(constB98)) | v26(constB97) | (~v84(constB98, bitIndex0)) | (~v84(constB98, bitIndex2)) | (~v84(constB98, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 49.19/31.64 tff(13012,plain,
% 49.19/31.64 (~v84(constB98, bitIndex0)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[13011, 12955, 12939, 12930, 12812])).
% 49.19/31.64 tff(13013,plain,
% 49.19/31.64 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB99) | (~v119(constB99)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB99) | (~v119(constB99)))),
% 49.19/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(13014,plain,
% 49.19/31.64 (((~v119(constB99)) | v107(constB99)) <=> (v107(constB99) | (~v119(constB99)))),
% 49.19/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(13015,plain,
% 49.19/31.64 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB99)) | v107(constB99))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB99) | (~v119(constB99))))),
% 49.19/31.64 inference(monotonicity,[status(thm)],[13014])).
% 49.19/31.64 tff(13016,plain,
% 49.19/31.64 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB99)) | v107(constB99))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB99) | (~v119(constB99)))),
% 49.19/31.64 inference(transitivity,[status(thm)],[13015, 13013])).
% 49.19/31.64 tff(13017,plain,
% 49.19/31.64 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB99)) | v107(constB99))),
% 49.19/31.64 inference(quant_inst,[status(thm)],[])).
% 49.19/31.64 tff(13018,plain,
% 49.19/31.64 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB99) | (~v119(constB99))),
% 49.19/31.64 inference(modus_ponens,[status(thm)],[13017, 13016])).
% 49.19/31.64 tff(13019,plain,
% 49.19/31.64 (~v119(constB99)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[13018, 976, 12675])).
% 49.19/31.64 tff(13020,plain,
% 49.19/31.64 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99))),
% 49.19/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(13021,plain,
% 49.19/31.64 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99))),
% 49.19/31.64 inference(quant_inst,[status(thm)],[])).
% 49.19/31.64 tff(13022,plain,
% 49.19/31.64 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99)),
% 49.19/31.64 inference(modus_ponens,[status(thm)],[13021, 13020])).
% 49.19/31.64 tff(13023,plain,
% 49.19/31.64 (v84(constB99, bitIndex0) | v119(constB99)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[13022, 965, 12803, 12929])).
% 49.19/31.64 tff(13024,plain,
% 49.19/31.64 (v84(constB99, bitIndex0)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[13023, 13019])).
% 49.19/31.64 tff(13025,plain,
% 49.19/31.64 ($false),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[12578, 13024, 13012])).
% 49.19/31.64 tff(13026,plain,(v94(constB100) | v84(constB97, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 49.19/31.64 tff(13027,plain,
% 49.19/31.64 (v94(constB100)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[13026, 12327])).
% 49.19/31.64 tff(13028,plain,
% 49.19/31.64 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))),
% 49.19/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(13029,plain,
% 49.19/31.64 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))),
% 49.19/31.64 inference(quant_inst,[status(thm)],[])).
% 49.19/31.64 tff(13030,plain,
% 49.19/31.64 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100))),
% 49.19/31.64 inference(modus_ponens,[status(thm)],[13029, 13028])).
% 49.19/31.64 tff(13031,plain,
% 49.19/31.64 ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[13030, 1220, 13027])).
% 49.19/31.64 tff(13032,plain,
% 49.19/31.64 (~v84(constB100, bitIndex2)),
% 49.19/31.64 inference(unit_resolution,[status(thm)],[13031, 12607])).
% 49.19/31.64 tff(13033,plain,
% 49.19/31.64 ((~v1(constB101)) <=> (~v1(constB101))),
% 49.19/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(13034,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 49.19/31.64 tff(13035,plain,
% 49.19/31.64 (~v1(constB101)),
% 49.19/31.64 inference(modus_ponens,[status(thm)],[13034, 13033])).
% 49.19/31.64 tff(13036,plain,
% 49.19/31.64 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 49.19/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(13037,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 49.19/31.64 tff(13038,plain,
% 49.19/31.64 (nextState(constB100, constB101)),
% 49.19/31.64 inference(modus_ponens,[status(thm)],[13037, 13036])).
% 49.19/31.64 tff(13039,plain,
% 49.19/31.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 49.19/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(13040,plain,
% 49.19/31.64 (((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 49.19/31.64 inference(rewrite,[status(thm)],[])).
% 49.19/31.64 tff(13041,plain,
% 49.19/31.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101))))),
% 49.19/31.64 inference(monotonicity,[status(thm)],[13040])).
% 49.19/31.64 tff(13042,plain,
% 49.19/31.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 49.19/31.64 inference(transitivity,[status(thm)],[13041, 13039])).
% 49.19/31.64 tff(13043,plain,
% 49.19/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))),
% 49.19/31.65 inference(quant_inst,[status(thm)],[])).
% 49.19/31.65 tff(13044,plain,
% 49.19/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101))),
% 49.19/31.65 inference(modus_ponens,[status(thm)],[13043, 13042])).
% 49.19/31.65 tff(13045,plain,
% 49.19/31.65 (~v95(constB101)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13044, 110, 13038, 13035])).
% 49.19/31.65 tff(13046,plain,
% 49.19/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))),
% 49.19/31.65 inference(rewrite,[status(thm)],[])).
% 49.19/31.65 tff(13047,plain,
% 49.19/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))),
% 49.19/31.65 inference(quant_inst,[status(thm)],[])).
% 49.19/31.65 tff(13048,plain,
% 49.19/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101))),
% 49.19/31.65 inference(modus_ponens,[status(thm)],[13047, 13046])).
% 49.19/31.65 tff(13049,plain,
% 49.19/31.65 (v95(constB101) | (~v94(constB101))),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13048, 127, 13038])).
% 49.19/31.65 tff(13050,plain,
% 49.19/31.65 (~v94(constB101)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13049, 13045])).
% 49.19/31.65 tff(13051,plain,
% 49.19/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 49.19/31.65 inference(rewrite,[status(thm)],[])).
% 49.19/31.65 tff(13052,plain,
% 49.19/31.65 (((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2))) <=> (v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 49.19/31.65 inference(rewrite,[status(thm)],[])).
% 49.19/31.65 tff(13053,plain,
% 49.19/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2))))),
% 49.19/31.65 inference(monotonicity,[status(thm)],[13052])).
% 49.19/31.65 tff(13054,plain,
% 49.19/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 49.19/31.65 inference(transitivity,[status(thm)],[13053, 13051])).
% 49.19/31.65 tff(13055,plain,
% 49.19/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 49.19/31.65 inference(quant_inst,[status(thm)],[])).
% 49.19/31.65 tff(13056,plain,
% 49.19/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2))),
% 49.19/31.65 inference(modus_ponens,[status(thm)],[13055, 13054])).
% 49.19/31.65 tff(13057,plain,
% 49.19/31.65 (v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2))),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13056, 142, 13038])).
% 49.19/31.65 tff(13058,plain,
% 49.19/31.65 (v84(constB100, bitIndex2) | (~v84(constB101, bitIndex2))),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13057, 13050])).
% 49.19/31.65 tff(13059,plain,
% 49.19/31.65 (~v84(constB101, bitIndex2)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13058, 13032])).
% 49.19/31.65 tff(13060,plain,
% 49.19/31.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB99)) | v124(constB99, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB99)) | v124(constB99, bitIndex1))),
% 49.19/31.65 inference(rewrite,[status(thm)],[])).
% 49.19/31.65 tff(13061,plain,
% 49.19/31.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB99)) | v124(constB99, bitIndex1))),
% 49.19/31.65 inference(quant_inst,[status(thm)],[])).
% 49.19/31.65 tff(13062,plain,
% 49.19/31.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB99)) | v124(constB99, bitIndex1)),
% 49.19/31.65 inference(modus_ponens,[status(thm)],[13061, 13060])).
% 49.19/31.65 tff(13063,plain,
% 49.19/31.65 (v124(constB99, bitIndex1)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13062, 1746, 12583])).
% 49.19/31.65 tff(13064,plain,
% 49.19/31.65 (v121(constB99, bitIndex1)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[12875, 13063])).
% 49.19/31.65 tff(13065,plain,
% 49.19/31.65 (v123(constB100, bitIndex1)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[12870, 13064])).
% 49.19/31.65 tff(13066,plain,
% 49.19/31.65 (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1))),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[12864, 887, 13027])).
% 49.19/31.65 tff(13067,plain,
% 49.19/31.65 (v84(constB100, bitIndex1)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13066, 13065])).
% 49.19/31.65 tff(13068,plain,
% 49.19/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))),
% 49.19/31.65 inference(rewrite,[status(thm)],[])).
% 49.19/31.65 tff(13069,plain,
% 49.19/31.65 (((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1)) <=> ((~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))),
% 49.19/31.65 inference(rewrite,[status(thm)],[])).
% 49.19/31.65 tff(13070,plain,
% 49.19/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1)))),
% 49.19/31.65 inference(monotonicity,[status(thm)],[13069])).
% 49.19/31.65 tff(13071,plain,
% 49.19/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))),
% 49.19/31.65 inference(transitivity,[status(thm)],[13070, 13068])).
% 49.19/31.65 tff(13072,plain,
% 49.19/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1))),
% 49.19/31.65 inference(quant_inst,[status(thm)],[])).
% 49.19/31.65 tff(13073,plain,
% 49.19/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1)),
% 49.19/31.65 inference(modus_ponens,[status(thm)],[13072, 13071])).
% 49.19/31.65 tff(13074,plain,
% 49.19/31.65 ((~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13073, 905, 13038])).
% 49.19/31.65 tff(13075,plain,
% 49.19/31.65 ((~v84(constB100, bitIndex1)) | v84(constB101, bitIndex1)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13074, 13050])).
% 49.19/31.65 tff(13076,plain,
% 49.19/31.65 (v84(constB101, bitIndex1)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13075, 13067])).
% 49.19/31.65 tff(13077,plain,
% 49.19/31.65 (v124(constB99, bitIndex0)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[12887, 1784, 12583])).
% 49.19/31.65 tff(13078,plain,
% 49.19/31.65 (v121(constB99, bitIndex0)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[12853, 13077])).
% 49.19/31.65 tff(13079,plain,
% 49.19/31.65 (v123(constB100, bitIndex0)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[12848, 13078])).
% 49.19/31.65 tff(13080,plain,
% 49.19/31.65 (v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0))),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[12842, 1421, 13027])).
% 49.19/31.65 tff(13081,plain,
% 49.19/31.65 (v84(constB100, bitIndex0)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13080, 13079])).
% 49.19/31.65 tff(13082,plain,
% 49.19/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0))),
% 49.19/31.65 inference(rewrite,[status(thm)],[])).
% 49.19/31.65 tff(13083,plain,
% 49.19/31.65 (((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0)) <=> ((~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0))),
% 49.19/31.65 inference(rewrite,[status(thm)],[])).
% 49.19/31.65 tff(13084,plain,
% 49.19/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0)))),
% 49.19/31.65 inference(monotonicity,[status(thm)],[13083])).
% 49.19/31.65 tff(13085,plain,
% 49.19/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0))),
% 49.19/31.65 inference(transitivity,[status(thm)],[13084, 13082])).
% 49.19/31.65 tff(13086,plain,
% 49.19/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0))),
% 49.19/31.65 inference(quant_inst,[status(thm)],[])).
% 49.19/31.65 tff(13087,plain,
% 49.19/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0)),
% 49.19/31.65 inference(modus_ponens,[status(thm)],[13086, 13085])).
% 49.19/31.65 tff(13088,plain,
% 49.19/31.65 ((~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13087, 1439, 13038])).
% 49.19/31.65 tff(13089,plain,
% 49.19/31.65 ((~v84(constB100, bitIndex0)) | v84(constB101, bitIndex0)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13088, 13050])).
% 49.19/31.65 tff(13090,plain,
% 49.19/31.65 (v84(constB101, bitIndex0)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13089, 13081])).
% 49.19/31.65 tff(13091,plain,
% 49.19/31.65 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB101))),
% 49.19/31.65 inference(rewrite,[status(thm)],[])).
% 49.19/31.65 tff(13092,plain,
% 49.19/31.65 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB101))),
% 49.19/31.65 inference(quant_inst,[status(thm)],[])).
% 49.19/31.65 tff(13093,plain,
% 49.19/31.65 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB101)),
% 49.19/31.65 inference(modus_ponens,[status(thm)],[13092, 13091])).
% 49.19/31.65 tff(13094,plain,
% 49.19/31.65 (v116(constB101)),
% 49.19/31.65 inference(unit_resolution,[status(thm)],[13093, 1825, 13090, 13076, 13059])).
% 49.19/31.65 tff(13095,plain,
% 49.19/31.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB101)) | v110(constB101))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB101)) | v110(constB101))),
% 49.19/31.65 inference(rewrite,[status(thm)],[])).
% 49.19/31.65 tff(13096,plain,
% 49.19/31.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB101)) | v110(constB101))),
% 49.19/31.65 inference(quant_inst,[status(thm)],[])).
% 49.19/31.65 tff(13097,plain,
% 49.19/31.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB101)) | v110(constB101)),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13096, 13095])).
% 49.19/31.66 tff(13098,plain,
% 49.19/31.66 (v110(constB101)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13097, 1836, 13094])).
% 49.19/31.66 tff(13099,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB101) | (~v110(constB101)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB101) | (~v110(constB101)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13100,plain,
% 49.19/31.66 (((~v110(constB101)) | v109(constB101)) <=> (v109(constB101) | (~v110(constB101)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13101,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB101)) | v109(constB101))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB101) | (~v110(constB101))))),
% 49.19/31.66 inference(monotonicity,[status(thm)],[13100])).
% 49.19/31.66 tff(13102,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB101)) | v109(constB101))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB101) | (~v110(constB101)))),
% 49.19/31.66 inference(transitivity,[status(thm)],[13101, 13099])).
% 49.19/31.66 tff(13103,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB101)) | v109(constB101))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13104,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB101) | (~v110(constB101))),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13103, 13102])).
% 49.19/31.66 tff(13105,plain,
% 49.19/31.66 (v109(constB101)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13104, 306, 13098])).
% 49.19/31.66 tff(13106,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v109(constB101)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v109(constB101)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13107,plain,
% 49.19/31.66 (((~v109(constB101)) | v108(constB101)) <=> (v108(constB101) | (~v109(constB101)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13108,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v109(constB101))))),
% 49.19/31.66 inference(monotonicity,[status(thm)],[13107])).
% 49.19/31.66 tff(13109,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v109(constB101)))),
% 49.19/31.66 inference(transitivity,[status(thm)],[13108, 13106])).
% 49.19/31.66 tff(13110,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB101)) | v108(constB101))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13111,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v109(constB101))),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13110, 13109])).
% 49.19/31.66 tff(13112,plain,
% 49.19/31.66 (v108(constB101)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13111, 320, 13105])).
% 49.19/31.66 tff(13113,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB101) | (~v108(constB101)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB101) | (~v108(constB101)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13114,plain,
% 49.19/31.66 (((~v108(constB101)) | v107(constB101)) <=> (v107(constB101) | (~v108(constB101)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13115,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB101)) | v107(constB101))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB101) | (~v108(constB101))))),
% 49.19/31.66 inference(monotonicity,[status(thm)],[13114])).
% 49.19/31.66 tff(13116,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB101)) | v107(constB101))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB101) | (~v108(constB101)))),
% 49.19/31.66 inference(transitivity,[status(thm)],[13115, 13113])).
% 49.19/31.66 tff(13117,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB101)) | v107(constB101))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13118,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB101) | (~v108(constB101))),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13117, 13116])).
% 49.19/31.66 tff(13119,plain,
% 49.19/31.66 (v107(constB101)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13118, 334, 13112])).
% 49.19/31.66 tff(13120,assumption,(v26(constB101)), introduced(assumption)).
% 49.19/31.66 tff(13121,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB101))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13122,plain,
% 49.19/31.66 ($false),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13121, 55, 13120])).
% 49.19/31.66 tff(13123,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 49.19/31.66 tff(13124,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | v106(constB101) | (~v107(constB101)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13125,plain,
% 49.19/31.66 ((v26(constB101) | (~v107(constB101)) | v106(constB101)) <=> (v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13126,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | v106(constB101) | (~v107(constB101))))),
% 49.19/31.66 inference(monotonicity,[status(thm)],[13125])).
% 49.19/31.66 tff(13127,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 49.19/31.66 inference(transitivity,[status(thm)],[13126, 13124])).
% 49.19/31.66 tff(13128,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13129,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101))),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13128, 13127])).
% 49.19/31.66 tff(13130,plain,
% 49.19/31.66 (v106(constB101) | (~v107(constB101))),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13129, 348, 13123])).
% 49.19/31.66 tff(13131,plain,
% 49.19/31.66 (v106(constB101)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13130, 13119])).
% 49.19/31.66 tff(13132,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB101) | (~v106(constB101)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB101) | (~v106(constB101)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13133,plain,
% 49.19/31.66 (((~v106(constB101)) | v102(constB101)) <=> (v102(constB101) | (~v106(constB101)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13134,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB101)) | v102(constB101))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB101) | (~v106(constB101))))),
% 49.19/31.66 inference(monotonicity,[status(thm)],[13133])).
% 49.19/31.66 tff(13135,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB101)) | v102(constB101))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB101) | (~v106(constB101)))),
% 49.19/31.66 inference(transitivity,[status(thm)],[13134, 13132])).
% 49.19/31.66 tff(13136,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB101)) | v102(constB101))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13137,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB101) | (~v106(constB101))),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13136, 13135])).
% 49.19/31.66 tff(13138,plain,
% 49.19/31.66 (v102(constB101)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13137, 504, 13131])).
% 49.19/31.66 tff(13139,plain,
% 49.19/31.66 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13140,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 49.19/31.66 tff(13141,plain,
% 49.19/31.66 (nextState(constB101, constB102)),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13140, 13139])).
% 49.19/31.66 tff(13142,plain,
% 49.19/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13143,plain,
% 49.19/31.66 (((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102)) <=> ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13144,plain,
% 49.19/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101))))),
% 49.19/31.66 inference(monotonicity,[status(thm)],[13143])).
% 49.19/31.66 tff(13145,plain,
% 49.19/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 49.19/31.66 inference(transitivity,[status(thm)],[13144, 13142])).
% 49.19/31.66 tff(13146,plain,
% 49.19/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13147,plain,
% 49.19/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101))),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13146, 13145])).
% 49.19/31.66 tff(13148,plain,
% 49.19/31.66 (v104(constB102) | (~v102(constB101))),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13147, 489, 13141])).
% 49.19/31.66 tff(13149,plain,
% 49.19/31.66 (v104(constB102)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13148, 13138])).
% 49.19/31.66 tff(13150,plain,
% 49.19/31.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13151,plain,
% 49.19/31.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13152,plain,
% 49.19/31.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102))),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13151, 13150])).
% 49.19/31.66 tff(13153,plain,
% 49.19/31.66 (~v98(constB102)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13152, 423, 13141, 13035])).
% 49.19/31.66 tff(13154,plain,
% 49.19/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13155,plain,
% 49.19/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13156,plain,
% 49.19/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB101, constB102)) | v96(constB102) | v98(constB102)),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13155, 13154])).
% 49.19/31.66 tff(13157,plain,
% 49.19/31.66 (v96(constB102) | v98(constB102)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13156, 437, 13141])).
% 49.19/31.66 tff(13158,plain,
% 49.19/31.66 (v96(constB102)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13157, 13153])).
% 49.19/31.66 tff(13159,plain,
% 49.19/31.66 (v1(constB102) <=> v1(constB102)),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13160,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 49.19/31.66 tff(13161,plain,
% 49.19/31.66 (v1(constB102)),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13160, 13159])).
% 49.19/31.66 tff(13162,plain,
% 49.19/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13163,plain,
% 49.19/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13164,plain,
% 49.19/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102))),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13163, 13162])).
% 49.19/31.66 tff(13165,plain,
% 49.19/31.66 (v95(constB102) | (~v96(constB102))),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13164, 455, 13141, 13161])).
% 49.19/31.66 tff(13166,plain,
% 49.19/31.66 (v95(constB102)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13165, 13158])).
% 49.19/31.66 tff(13167,plain,
% 49.19/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13168,plain,
% 49.19/31.66 (((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102)) <=> ((~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13169,plain,
% 49.19/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102))))),
% 49.19/31.66 inference(monotonicity,[status(thm)],[13168])).
% 49.19/31.66 tff(13170,plain,
% 49.19/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))),
% 49.19/31.66 inference(transitivity,[status(thm)],[13169, 13167])).
% 49.19/31.66 tff(13171,plain,
% 49.19/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13172,plain,
% 49.19/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102))),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13171, 13170])).
% 49.19/31.66 tff(13173,plain,
% 49.19/31.66 (v94(constB102) | (~v95(constB102)) | (~v104(constB102))),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13172, 470, 13141])).
% 49.19/31.66 tff(13174,plain,
% 49.19/31.66 (v94(constB102) | (~v104(constB102))),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13173, 13166])).
% 49.19/31.66 tff(13175,plain,
% 49.19/31.66 (v94(constB102)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13174, 13149])).
% 49.19/31.66 tff(13176,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB101)) | v124(constB101, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB101)) | v124(constB101, bitIndex2))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13177,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB101)) | v124(constB101, bitIndex2))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13178,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB101)) | v124(constB101, bitIndex2)),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13177, 13176])).
% 49.19/31.66 tff(13179,plain,
% 49.19/31.66 (v124(constB101, bitIndex2)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13178, 1923, 13094])).
% 49.19/31.66 tff(13180,plain,
% 49.19/31.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB101) | (~v124(constB101, bitIndex2)) | v121(constB101, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB101) | (~v124(constB101, bitIndex2)) | v121(constB101, bitIndex2))),
% 49.19/31.66 inference(rewrite,[status(thm)],[])).
% 49.19/31.66 tff(13181,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB101) | (~v124(constB101, bitIndex2)) | v121(constB101, bitIndex2))),
% 49.19/31.66 inference(quant_inst,[status(thm)],[])).
% 49.19/31.66 tff(13182,plain,
% 49.19/31.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB101) | (~v124(constB101, bitIndex2)) | v121(constB101, bitIndex2)),
% 49.19/31.66 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 49.19/31.66 tff(13183,plain,
% 49.19/31.66 ((~v124(constB101, bitIndex2)) | v121(constB101, bitIndex2)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13182, 374, 13123])).
% 49.19/31.66 tff(13184,plain,
% 49.19/31.66 (v121(constB101, bitIndex2)),
% 49.19/31.66 inference(unit_resolution,[status(thm)],[13183, 13179])).
% 49.19/31.66 tff(13185,plain,
% 49.19/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v121(constB101, bitIndex2)) | v123(constB102, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v121(constB101, bitIndex2)) | v123(constB102, bitIndex2))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13186,plain,
% 49.19/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v121(constB101, bitIndex2)) | v123(constB102, bitIndex2))),
% 49.19/31.67 inference(quant_inst,[status(thm)],[])).
% 49.19/31.67 tff(13187,plain,
% 49.19/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v121(constB101, bitIndex2)) | v123(constB102, bitIndex2)),
% 49.19/31.67 inference(modus_ponens,[status(thm)],[13186, 13185])).
% 49.19/31.67 tff(13188,plain,
% 49.19/31.67 ((~v121(constB101, bitIndex2)) | v123(constB102, bitIndex2)),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13187, 389, 13141])).
% 49.19/31.67 tff(13189,plain,
% 49.19/31.67 (v123(constB102, bitIndex2)),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13188, 13184])).
% 49.19/31.67 tff(13190,plain,
% 49.19/31.67 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)) | (~v94(constB102)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)) | (~v94(constB102)))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13191,plain,
% 49.19/31.67 ((v84(constB102, bitIndex2) | (~v94(constB102)) | (~v123(constB102, bitIndex2))) <=> (v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)) | (~v94(constB102)))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13192,plain,
% 49.19/31.67 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~v94(constB102)) | (~v123(constB102, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)) | (~v94(constB102))))),
% 49.19/31.67 inference(monotonicity,[status(thm)],[13191])).
% 49.19/31.67 tff(13193,plain,
% 49.19/31.67 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~v94(constB102)) | (~v123(constB102, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)) | (~v94(constB102)))),
% 49.19/31.67 inference(transitivity,[status(thm)],[13192, 13190])).
% 49.19/31.67 tff(13194,plain,
% 49.19/31.67 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~v94(constB102)) | (~v123(constB102, bitIndex2)))),
% 49.19/31.67 inference(quant_inst,[status(thm)],[])).
% 49.19/31.67 tff(13195,plain,
% 49.19/31.67 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)) | (~v94(constB102))),
% 49.19/31.67 inference(modus_ponens,[status(thm)],[13194, 13193])).
% 49.19/31.67 tff(13196,plain,
% 49.19/31.67 (v84(constB102, bitIndex2) | (~v94(constB102))),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13195, 405, 13189])).
% 49.19/31.67 tff(13197,plain,
% 49.19/31.67 (v84(constB102, bitIndex2)),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13196, 13175])).
% 49.19/31.67 tff(13198,plain,
% 49.19/31.67 ((~v1(constB103)) <=> (~v1(constB103))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13199,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 49.19/31.67 tff(13200,plain,
% 49.19/31.67 (~v1(constB103)),
% 49.19/31.67 inference(modus_ponens,[status(thm)],[13199, 13198])).
% 49.19/31.67 tff(13201,plain,
% 49.19/31.67 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13202,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 49.19/31.67 tff(13203,plain,
% 49.19/31.67 (nextState(constB102, constB103)),
% 49.19/31.67 inference(modus_ponens,[status(thm)],[13202, 13201])).
% 49.19/31.67 tff(13204,plain,
% 49.19/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13205,plain,
% 49.19/31.67 (((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13206,plain,
% 49.19/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103))))),
% 49.19/31.67 inference(monotonicity,[status(thm)],[13205])).
% 49.19/31.67 tff(13207,plain,
% 49.19/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 49.19/31.67 inference(transitivity,[status(thm)],[13206, 13204])).
% 49.19/31.67 tff(13208,plain,
% 49.19/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))),
% 49.19/31.67 inference(quant_inst,[status(thm)],[])).
% 49.19/31.67 tff(13209,plain,
% 49.19/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103))),
% 49.19/31.67 inference(modus_ponens,[status(thm)],[13208, 13207])).
% 49.19/31.67 tff(13210,plain,
% 49.19/31.67 (~v95(constB103)),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13209, 110, 13203, 13200])).
% 49.19/31.67 tff(13211,plain,
% 49.19/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13212,plain,
% 49.19/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))),
% 49.19/31.67 inference(quant_inst,[status(thm)],[])).
% 49.19/31.67 tff(13213,plain,
% 49.19/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103))),
% 49.19/31.67 inference(modus_ponens,[status(thm)],[13212, 13211])).
% 49.19/31.67 tff(13214,plain,
% 49.19/31.67 (v95(constB103) | (~v94(constB103))),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13213, 127, 13203])).
% 49.19/31.67 tff(13215,plain,
% 49.19/31.67 (~v94(constB103)),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13214, 13210])).
% 49.19/31.67 tff(13216,plain,
% 49.19/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex2))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13217,plain,
% 49.19/31.67 (((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex2)) | v94(constB103) | v84(constB103, bitIndex2)) <=> ((~v84(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex2))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13218,plain,
% 49.19/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex2)) | v94(constB103) | v84(constB103, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex2)))),
% 49.19/31.67 inference(monotonicity,[status(thm)],[13217])).
% 49.19/31.67 tff(13219,plain,
% 49.19/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex2)) | v94(constB103) | v84(constB103, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex2))),
% 49.19/31.67 inference(transitivity,[status(thm)],[13218, 13216])).
% 49.19/31.67 tff(13220,plain,
% 49.19/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex2)) | v94(constB103) | v84(constB103, bitIndex2))),
% 49.19/31.67 inference(quant_inst,[status(thm)],[])).
% 49.19/31.67 tff(13221,plain,
% 49.19/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex2)),
% 49.19/31.67 inference(modus_ponens,[status(thm)],[13220, 13219])).
% 49.19/31.67 tff(13222,plain,
% 49.19/31.67 ((~v84(constB102, bitIndex2)) | v94(constB103) | v84(constB103, bitIndex2)),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13221, 576, 13203])).
% 49.19/31.67 tff(13223,plain,
% 49.19/31.67 ((~v84(constB102, bitIndex2)) | v84(constB103, bitIndex2)),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13222, 13215])).
% 49.19/31.67 tff(13224,plain,
% 49.19/31.67 (v84(constB103, bitIndex2)),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13223, 13197])).
% 49.19/31.67 tff(13225,plain,
% 49.19/31.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB101)) | (~v124(constB101, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB101)) | (~v124(constB101, bitIndex1)))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13226,plain,
% 49.19/31.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB101)) | (~v124(constB101, bitIndex1)))),
% 49.19/31.67 inference(quant_inst,[status(thm)],[])).
% 49.19/31.67 tff(13227,plain,
% 49.19/31.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB101)) | (~v124(constB101, bitIndex1))),
% 49.19/31.67 inference(modus_ponens,[status(thm)],[13226, 13225])).
% 49.19/31.67 tff(13228,plain,
% 49.19/31.67 (~v124(constB101, bitIndex1)),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13227, 1979, 13094])).
% 49.19/31.67 tff(13229,plain,
% 49.19/31.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB101, bitIndex1)) | v26(constB101) | v124(constB101, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB101, bitIndex1)) | v26(constB101) | v124(constB101, bitIndex1))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13230,plain,
% 49.19/31.67 ((v26(constB101) | v124(constB101, bitIndex1) | (~v121(constB101, bitIndex1))) <=> ((~v121(constB101, bitIndex1)) | v26(constB101) | v124(constB101, bitIndex1))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13231,plain,
% 49.19/31.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB101) | v124(constB101, bitIndex1) | (~v121(constB101, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB101, bitIndex1)) | v26(constB101) | v124(constB101, bitIndex1)))),
% 49.19/31.67 inference(monotonicity,[status(thm)],[13230])).
% 49.19/31.67 tff(13232,plain,
% 49.19/31.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB101) | v124(constB101, bitIndex1) | (~v121(constB101, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB101, bitIndex1)) | v26(constB101) | v124(constB101, bitIndex1))),
% 49.19/31.67 inference(transitivity,[status(thm)],[13231, 13229])).
% 49.19/31.67 tff(13233,plain,
% 49.19/31.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB101) | v124(constB101, bitIndex1) | (~v121(constB101, bitIndex1)))),
% 49.19/31.67 inference(quant_inst,[status(thm)],[])).
% 49.19/31.67 tff(13234,plain,
% 49.19/31.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB101, bitIndex1)) | v26(constB101) | v124(constB101, bitIndex1)),
% 49.19/31.67 inference(modus_ponens,[status(thm)],[13233, 13232])).
% 49.19/31.67 tff(13235,plain,
% 49.19/31.67 ((~v121(constB101, bitIndex1)) | v124(constB101, bitIndex1)),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13234, 233, 13123])).
% 49.19/31.67 tff(13236,plain,
% 49.19/31.67 (~v121(constB101, bitIndex1)),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13235, 13228])).
% 49.19/31.67 tff(13237,plain,
% 49.19/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v121(constB101, bitIndex1) | (~v123(constB102, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v121(constB101, bitIndex1) | (~v123(constB102, bitIndex1)))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13238,plain,
% 49.19/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v121(constB101, bitIndex1) | (~v123(constB102, bitIndex1)))),
% 49.19/31.67 inference(quant_inst,[status(thm)],[])).
% 49.19/31.67 tff(13239,plain,
% 49.19/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v121(constB101, bitIndex1) | (~v123(constB102, bitIndex1))),
% 49.19/31.67 inference(modus_ponens,[status(thm)],[13238, 13237])).
% 49.19/31.67 tff(13240,plain,
% 49.19/31.67 (v121(constB101, bitIndex1) | (~v123(constB102, bitIndex1))),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13239, 254, 13141])).
% 49.19/31.67 tff(13241,plain,
% 49.19/31.67 (~v123(constB102, bitIndex1)),
% 49.19/31.67 inference(unit_resolution,[status(thm)],[13240, 13236])).
% 49.19/31.67 tff(13242,plain,
% 49.19/31.67 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1) | (~v94(constB102)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1) | (~v94(constB102)))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13243,plain,
% 49.19/31.67 (((~v84(constB102, bitIndex1)) | (~v94(constB102)) | v123(constB102, bitIndex1)) <=> ((~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1) | (~v94(constB102)))),
% 49.19/31.67 inference(rewrite,[status(thm)],[])).
% 49.19/31.67 tff(13244,plain,
% 49.19/31.67 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | (~v94(constB102)) | v123(constB102, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1) | (~v94(constB102))))),
% 49.19/31.68 inference(monotonicity,[status(thm)],[13243])).
% 49.19/31.68 tff(13245,plain,
% 49.19/31.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | (~v94(constB102)) | v123(constB102, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1) | (~v94(constB102)))),
% 49.19/31.68 inference(transitivity,[status(thm)],[13244, 13242])).
% 49.19/31.68 tff(13246,plain,
% 49.19/31.68 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | (~v94(constB102)) | v123(constB102, bitIndex1))),
% 49.19/31.68 inference(quant_inst,[status(thm)],[])).
% 49.19/31.68 tff(13247,plain,
% 49.19/31.68 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1) | (~v94(constB102))),
% 49.19/31.68 inference(modus_ponens,[status(thm)],[13246, 13245])).
% 49.19/31.68 tff(13248,plain,
% 49.19/31.68 ((~v84(constB102, bitIndex1)) | (~v94(constB102))),
% 49.19/31.68 inference(unit_resolution,[status(thm)],[13247, 532, 13241])).
% 49.19/31.68 tff(13249,plain,
% 49.19/31.68 (~v84(constB102, bitIndex1)),
% 49.19/31.68 inference(unit_resolution,[status(thm)],[13248, 13175])).
% 49.19/31.68 tff(13250,plain,
% 49.19/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex1)))),
% 49.19/31.68 inference(rewrite,[status(thm)],[])).
% 49.19/31.68 tff(13251,plain,
% 49.19/31.68 (((~nextState(constB102, constB103)) | v84(constB102, bitIndex1) | v94(constB103) | (~v84(constB103, bitIndex1))) <=> (v84(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex1)))),
% 49.19/31.68 inference(rewrite,[status(thm)],[])).
% 49.19/31.68 tff(13252,plain,
% 49.19/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex1) | v94(constB103) | (~v84(constB103, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex1))))),
% 49.19/31.68 inference(monotonicity,[status(thm)],[13251])).
% 49.19/31.68 tff(13253,plain,
% 49.19/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex1) | v94(constB103) | (~v84(constB103, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex1)))),
% 49.19/31.68 inference(transitivity,[status(thm)],[13252, 13250])).
% 49.19/31.68 tff(13254,plain,
% 49.19/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex1) | v94(constB103) | (~v84(constB103, bitIndex1)))),
% 49.19/31.68 inference(quant_inst,[status(thm)],[])).
% 49.19/31.68 tff(13255,plain,
% 49.19/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex1))),
% 49.19/31.68 inference(modus_ponens,[status(thm)],[13254, 13253])).
% 49.19/31.68 tff(13256,plain,
% 49.19/31.68 (v84(constB102, bitIndex1) | v94(constB103) | (~v84(constB103, bitIndex1))),
% 49.19/31.68 inference(unit_resolution,[status(thm)],[13255, 163, 13203])).
% 49.19/31.68 tff(13257,plain,
% 49.19/31.68 (v84(constB102, bitIndex1) | (~v84(constB103, bitIndex1))),
% 49.19/31.68 inference(unit_resolution,[status(thm)],[13256, 13215])).
% 49.19/31.68 tff(13258,plain,
% 49.19/31.68 (~v84(constB103, bitIndex1)),
% 49.19/31.68 inference(unit_resolution,[status(thm)],[13257, 13249])).
% 49.19/31.68 tff(13259,plain,
% 49.19/31.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB101)) | (~v124(constB101, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB101)) | (~v124(constB101, bitIndex0)))),
% 49.19/31.68 inference(rewrite,[status(thm)],[])).
% 49.19/31.68 tff(13260,plain,
% 49.19/31.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB101)) | (~v124(constB101, bitIndex0)))),
% 49.19/31.68 inference(quant_inst,[status(thm)],[])).
% 49.19/31.68 tff(13261,plain,
% 49.19/31.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB101)) | (~v124(constB101, bitIndex0))),
% 49.19/31.68 inference(modus_ponens,[status(thm)],[13260, 13259])).
% 49.19/31.68 tff(13262,plain,
% 49.19/31.68 (~v124(constB101, bitIndex0)),
% 49.19/31.68 inference(unit_resolution,[status(thm)],[13261, 2020, 13094])).
% 49.19/31.68 tff(13263,plain,
% 49.19/31.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB101, bitIndex0)) | v26(constB101) | v124(constB101, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB101, bitIndex0)) | v26(constB101) | v124(constB101, bitIndex0))),
% 49.19/31.68 inference(rewrite,[status(thm)],[])).
% 49.19/31.68 tff(13264,plain,
% 49.19/31.68 ((v26(constB101) | v124(constB101, bitIndex0) | (~v121(constB101, bitIndex0))) <=> ((~v121(constB101, bitIndex0)) | v26(constB101) | v124(constB101, bitIndex0))),
% 49.19/31.68 inference(rewrite,[status(thm)],[])).
% 49.19/31.68 tff(13265,plain,
% 49.19/31.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB101) | v124(constB101, bitIndex0) | (~v121(constB101, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB101, bitIndex0)) | v26(constB101) | v124(constB101, bitIndex0)))),
% 49.19/31.68 inference(monotonicity,[status(thm)],[13264])).
% 49.19/31.68 tff(13266,plain,
% 49.19/31.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB101) | v124(constB101, bitIndex0) | (~v121(constB101, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB101, bitIndex0)) | v26(constB101) | v124(constB101, bitIndex0))),
% 49.19/31.68 inference(transitivity,[status(thm)],[13265, 13263])).
% 49.19/31.68 tff(13267,plain,
% 49.19/31.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB101) | v124(constB101, bitIndex0) | (~v121(constB101, bitIndex0)))),
% 49.19/31.68 inference(quant_inst,[status(thm)],[])).
% 49.19/31.68 tff(13268,plain,
% 49.19/31.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB101, bitIndex0)) | v26(constB101) | v124(constB101, bitIndex0)),
% 49.19/31.68 inference(modus_ponens,[status(thm)],[13267, 13266])).
% 49.19/31.68 tff(13269,plain,
% 49.19/31.68 ((~v121(constB101, bitIndex0)) | v124(constB101, bitIndex0)),
% 49.19/31.68 inference(unit_resolution,[status(thm)],[13268, 607, 13123])).
% 49.19/31.68 tff(13270,plain,
% 49.19/31.68 (~v121(constB101, bitIndex0)),
% 49.19/31.68 inference(unit_resolution,[status(thm)],[13269, 13262])).
% 49.19/31.68 tff(13271,plain,
% 49.19/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v121(constB101, bitIndex0) | (~v123(constB102, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v121(constB101, bitIndex0) | (~v123(constB102, bitIndex0)))),
% 49.19/31.68 inference(rewrite,[status(thm)],[])).
% 49.19/31.68 tff(13272,plain,
% 49.19/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v121(constB101, bitIndex0) | (~v123(constB102, bitIndex0)))),
% 49.19/31.68 inference(quant_inst,[status(thm)],[])).
% 49.19/31.68 tff(13273,plain,
% 49.19/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v121(constB101, bitIndex0) | (~v123(constB102, bitIndex0))),
% 49.19/31.68 inference(modus_ponens,[status(thm)],[13272, 13271])).
% 49.19/31.68 tff(13274,plain,
% 49.19/31.68 (v121(constB101, bitIndex0) | (~v123(constB102, bitIndex0))),
% 49.19/31.68 inference(unit_resolution,[status(thm)],[13273, 637, 13141])).
% 49.19/31.68 tff(13275,plain,
% 49.19/31.68 (~v123(constB102, bitIndex0)),
% 49.19/31.68 inference(unit_resolution,[status(thm)],[13274, 13270])).
% 49.19/31.68 tff(13276,plain,
% 49.19/31.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0) | (~v94(constB102)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0) | (~v94(constB102)))),
% 49.19/31.68 inference(rewrite,[status(thm)],[])).
% 49.19/31.68 tff(13277,plain,
% 49.19/31.68 (((~v84(constB102, bitIndex0)) | (~v94(constB102)) | v123(constB102, bitIndex0)) <=> ((~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0) | (~v94(constB102)))),
% 49.19/31.68 inference(rewrite,[status(thm)],[])).
% 49.19/31.68 tff(13278,plain,
% 49.19/31.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | (~v94(constB102)) | v123(constB102, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0) | (~v94(constB102))))),
% 49.19/31.68 inference(monotonicity,[status(thm)],[13277])).
% 49.19/31.68 tff(13279,plain,
% 49.19/31.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | (~v94(constB102)) | v123(constB102, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0) | (~v94(constB102)))),
% 49.19/31.68 inference(transitivity,[status(thm)],[13278, 13276])).
% 49.19/31.68 tff(13280,plain,
% 49.19/31.68 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | (~v94(constB102)) | v123(constB102, bitIndex0))),
% 49.19/31.68 inference(quant_inst,[status(thm)],[])).
% 49.19/31.68 tff(13281,plain,
% 49.19/31.68 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0) | (~v94(constB102))),
% 49.19/31.68 inference(modus_ponens,[status(thm)],[13280, 13279])).
% 49.19/31.68 tff(13282,plain,
% 49.19/31.68 ((~v84(constB102, bitIndex0)) | (~v94(constB102))),
% 49.19/31.68 inference(unit_resolution,[status(thm)],[13281, 652, 13275])).
% 49.19/31.68 tff(13283,plain,
% 49.19/31.68 (~v84(constB102, bitIndex0)),
% 49.19/31.68 inference(unit_resolution,[status(thm)],[13282, 13175])).
% 49.19/31.68 tff(13284,plain,
% 49.19/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex0)))),
% 49.19/31.68 inference(rewrite,[status(thm)],[])).
% 49.19/31.68 tff(13285,plain,
% 49.19/31.68 (((~nextState(constB102, constB103)) | v84(constB102, bitIndex0) | v94(constB103) | (~v84(constB103, bitIndex0))) <=> (v84(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex0)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13286,plain,
% 49.19/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex0) | v94(constB103) | (~v84(constB103, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex0))))),
% 49.19/31.69 inference(monotonicity,[status(thm)],[13285])).
% 49.19/31.69 tff(13287,plain,
% 49.19/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex0) | v94(constB103) | (~v84(constB103, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex0)))),
% 49.19/31.69 inference(transitivity,[status(thm)],[13286, 13284])).
% 49.19/31.69 tff(13288,plain,
% 49.19/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex0) | v94(constB103) | (~v84(constB103, bitIndex0)))),
% 49.19/31.69 inference(quant_inst,[status(thm)],[])).
% 49.19/31.69 tff(13289,plain,
% 49.19/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex0))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13288, 13287])).
% 49.19/31.69 tff(13290,plain,
% 49.19/31.69 (v84(constB102, bitIndex0) | v94(constB103) | (~v84(constB103, bitIndex0))),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13289, 184, 13203])).
% 49.19/31.69 tff(13291,plain,
% 49.19/31.69 (v84(constB102, bitIndex0) | (~v84(constB103, bitIndex0))),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13290, 13215])).
% 49.19/31.69 tff(13292,plain,
% 49.19/31.69 (~v84(constB103, bitIndex0)),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13291, 13283])).
% 49.19/31.69 tff(13293,plain,
% 49.19/31.69 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13294,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103))),
% 49.19/31.69 inference(quant_inst,[status(thm)],[])).
% 49.19/31.69 tff(13295,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103)),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13294, 13293])).
% 49.19/31.69 tff(13296,plain,
% 49.19/31.69 (v172(constB103)),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13295, 679, 13292, 13258, 13224])).
% 49.19/31.69 tff(13297,plain,
% 49.19/31.69 ($false),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13296, 47])).
% 49.19/31.69 tff(13298,plain,(~(constB103 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.19/31.69 tff(13299,assumption,(constB35 = sK0_VarCurr), introduced(assumption)).
% 49.19/31.69 tff(13300,plain,
% 49.19/31.69 (v162(constB35) <=> v162(sK0_VarCurr)),
% 49.19/31.69 inference(monotonicity,[status(thm)],[13299])).
% 49.19/31.69 tff(13301,plain,
% 49.19/31.69 (v162(sK0_VarCurr) <=> v162(constB35)),
% 49.19/31.69 inference(symmetry,[status(thm)],[13300])).
% 49.19/31.69 tff(13302,plain,
% 49.19/31.69 (^[VarCurr: state_type] : refl((v162(VarCurr) | (~v168(VarCurr))) <=> (v162(VarCurr) | (~v168(VarCurr))))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13303,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13302])).
% 49.19/31.69 tff(13304,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13305,plain,
% 49.19/31.69 (^[VarCurr: state_type] : rewrite(((~v168(VarCurr)) | v162(VarCurr)) <=> (v162(VarCurr) | (~v168(VarCurr))))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13306,plain,
% 49.19/31.69 (![VarCurr: state_type] : ((~v168(VarCurr)) | v162(VarCurr)) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13305])).
% 49.19/31.69 tff(13307,axiom,(![VarCurr: state_type] : ((~v168(VarCurr)) | v162(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1_2')).
% 49.19/31.69 tff(13308,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13307, 13306])).
% 49.19/31.69 tff(13309,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13308, 13304])).
% 49.19/31.69 tff(13310,plain,(
% 49.19/31.69 ![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 49.19/31.69 inference(skolemize,[status(sab)],[13309])).
% 49.19/31.69 tff(13311,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13310, 13303])).
% 49.19/31.69 tff(13312,plain,
% 49.19/31.69 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))) | (v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))) | v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13313,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))) | (v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 49.19/31.69 inference(quant_inst,[status(thm)],[])).
% 49.19/31.69 tff(13314,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))) | v162(sK0_VarCurr) | (~v168(sK0_VarCurr))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13313, 13312])).
% 49.19/31.69 tff(13315,plain,
% 49.19/31.69 (v162(sK0_VarCurr)),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13314, 13311, 7])).
% 49.19/31.69 tff(13316,plain,
% 49.19/31.69 (v162(constB35)),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13315, 13301])).
% 49.19/31.69 tff(13317,assumption,(v18(constB34)), introduced(assumption)).
% 49.19/31.69 tff(13318,plain,
% 49.19/31.69 (^[VarCurr: state_type] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13319,plain,
% 49.19/31.69 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13318])).
% 49.19/31.69 tff(13320,plain,
% 49.19/31.69 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13321,axiom,(![VarCurr: state_type] : (~v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 49.19/31.69 tff(13322,plain,
% 49.19/31.69 (![VarCurr: state_type] : (~v18(VarCurr))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13321, 13320])).
% 49.19/31.69 tff(13323,plain,(
% 49.19/31.69 ![VarCurr: state_type] : (~v18(VarCurr))),
% 49.19/31.69 inference(skolemize,[status(sab)],[13322])).
% 49.19/31.69 tff(13324,plain,
% 49.19/31.69 (![VarCurr: state_type] : (~v18(VarCurr))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13323, 13319])).
% 49.19/31.69 tff(13325,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB34))),
% 49.19/31.69 inference(quant_inst,[status(thm)],[])).
% 49.19/31.69 tff(13326,plain,
% 49.19/31.69 ($false),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13325, 13324, 13317])).
% 49.19/31.69 tff(13327,plain,(~v18(constB34)), inference(lemma,lemma(discharge,[]))).
% 49.19/31.69 tff(13328,plain,
% 49.19/31.69 (^[VarCurr: state_type] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13329,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13328])).
% 49.19/31.69 tff(13330,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13331,plain,
% 49.19/31.69 (^[VarCurr: state_type] : rewrite(((~v1(VarCurr)) | v22(VarCurr)) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13332,plain,
% 49.19/31.69 (![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr)) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13331])).
% 49.19/31.69 tff(13333,axiom,(![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 49.19/31.69 tff(13334,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13333, 13332])).
% 49.19/31.69 tff(13335,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13334, 13330])).
% 49.19/31.69 tff(13336,plain,(
% 49.19/31.69 ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.19/31.69 inference(skolemize,[status(sab)],[13335])).
% 49.19/31.69 tff(13337,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13336, 13329])).
% 49.19/31.69 tff(13338,plain,
% 49.19/31.69 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB34) | (~v1(constB34)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB34) | (~v1(constB34)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13339,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB34) | (~v1(constB34)))),
% 49.19/31.69 inference(quant_inst,[status(thm)],[])).
% 49.19/31.69 tff(13340,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB34) | (~v1(constB34))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13339, 13338])).
% 49.19/31.69 tff(13341,plain,
% 49.19/31.69 (v22(constB34)),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13340, 13337, 5526])).
% 49.19/31.69 tff(13342,plain,
% 49.19/31.69 (^[VarCurr: state_type] : refl((v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13343,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13342])).
% 49.19/31.69 tff(13344,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13345,plain,
% 49.19/31.69 (^[VarCurr: state_type] : rewrite((((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13346,plain,
% 49.19/31.69 (![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13345])).
% 49.19/31.69 tff(13347,axiom,(![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 49.19/31.69 tff(13348,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13347, 13346])).
% 49.19/31.69 tff(13349,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13348, 13344])).
% 49.19/31.69 tff(13350,plain,(
% 49.19/31.69 ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.19/31.69 inference(skolemize,[status(sab)],[13349])).
% 49.19/31.69 tff(13351,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13350, 13343])).
% 49.19/31.69 tff(13352,plain,
% 49.19/31.69 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB34) | (~v22(constB34)) | (~v19(constB34)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB34) | (~v22(constB34)) | (~v19(constB34)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13353,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB34) | (~v22(constB34)) | (~v19(constB34)))),
% 49.19/31.69 inference(quant_inst,[status(thm)],[])).
% 49.19/31.69 tff(13354,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB34) | (~v22(constB34)) | (~v19(constB34))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13353, 13352])).
% 49.19/31.69 tff(13355,plain,
% 49.19/31.69 (v18(constB34) | (~v19(constB34))),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13354, 13351, 13341])).
% 49.19/31.69 tff(13356,plain,
% 49.19/31.69 (~v19(constB34)),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13355, 13327])).
% 49.19/31.69 tff(13357,plain,
% 49.19/31.69 (^[VarCurr: state_type] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13358,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13357])).
% 49.19/31.69 tff(13359,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13360,axiom,(![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_2')).
% 49.19/31.69 tff(13361,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13360, 13359])).
% 49.19/31.69 tff(13362,plain,(
% 49.19/31.69 ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 49.19/31.69 inference(skolemize,[status(sab)],[13361])).
% 49.19/31.69 tff(13363,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13362, 13358])).
% 49.19/31.69 tff(13364,plain,
% 49.19/31.69 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB34) | v19(constB34))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB34) | v19(constB34))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13365,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB34) | v19(constB34))),
% 49.19/31.69 inference(quant_inst,[status(thm)],[])).
% 49.19/31.69 tff(13366,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB34) | v19(constB34)),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13365, 13364])).
% 49.19/31.69 tff(13367,plain,
% 49.19/31.69 (v13(constB34)),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13366, 13363, 13356])).
% 49.19/31.69 tff(13368,plain,
% 49.19/31.69 (^[VarNext: state_type, VarCurr: state_type] : refl((v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13369,plain,
% 49.19/31.69 (![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)))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13368])).
% 49.19/31.69 tff(13370,plain,
% 49.19/31.69 (![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)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13371,plain,
% 49.19/31.69 (^[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)))))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13372,plain,
% 49.19/31.69 (![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)))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13371])).
% 49.19/31.69 tff(13373,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_11_2')).
% 49.19/31.69 tff(13374,plain,
% 49.19/31.69 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13373, 13372])).
% 49.19/31.69 tff(13375,plain,
% 49.19/31.69 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13374, 13370])).
% 49.19/31.69 tff(13376,plain,(
% 49.19/31.69 ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 49.19/31.69 inference(skolemize,[status(sab)],[13375])).
% 49.19/31.69 tff(13377,plain,
% 49.19/31.69 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13376, 13369])).
% 49.19/31.69 tff(13378,plain,
% 49.19/31.69 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB33) | (~v13(constB34)) | (~nextState(constB33, constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB33) | (~v13(constB34)) | (~nextState(constB33, constB34)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13379,plain,
% 49.19/31.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB33) | (~v13(constB34)) | (~nextState(constB33, constB34)))),
% 49.19/31.69 inference(quant_inst,[status(thm)],[])).
% 49.19/31.69 tff(13380,plain,
% 49.19/31.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB33) | (~v13(constB34)) | (~nextState(constB33, constB34))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13379, 13378])).
% 49.19/31.69 tff(13381,plain,
% 49.19/31.69 (v9(constB33) | (~v13(constB34))),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13380, 13377, 5506])).
% 49.19/31.69 tff(13382,plain,
% 49.19/31.69 (v9(constB33)),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13381, 13367])).
% 49.19/31.69 tff(13383,plain,
% 49.19/31.69 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13384,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13383])).
% 49.19/31.69 tff(13385,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13386,plain,
% 49.19/31.69 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v9(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)))), ((((~v9(VarCurr)) | v1(VarCurr)) | v141(VarCurr)) <=> ((v1(VarCurr) | (~v9(VarCurr))) | v141(VarCurr)))), rewrite(((v1(VarCurr) | (~v9(VarCurr))) | v141(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))), ((((~v9(VarCurr)) | v1(VarCurr)) | v141(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13387,plain,
% 49.19/31.69 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13386])).
% 49.19/31.69 tff(13388,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v141(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_28_1_1_1')).
% 49.19/31.69 tff(13389,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13388, 13387])).
% 49.19/31.69 tff(13390,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13389, 13385])).
% 49.19/31.69 tff(13391,plain,(
% 49.19/31.69 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 49.19/31.69 inference(skolemize,[status(sab)],[13390])).
% 49.19/31.69 tff(13392,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13391, 13384])).
% 49.19/31.69 tff(13393,plain,
% 49.19/31.69 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB33) | (~v9(constB33)) | v141(constB33))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB33) | (~v9(constB33)) | v141(constB33))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13394,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB33) | (~v9(constB33)) | v141(constB33))),
% 49.19/31.69 inference(quant_inst,[status(thm)],[])).
% 49.19/31.69 tff(13395,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB33) | (~v9(constB33)) | v141(constB33)),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13394, 13393])).
% 49.19/31.69 tff(13396,plain,
% 49.19/31.69 ((~v9(constB33)) | v141(constB33)),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13395, 13392, 5373])).
% 49.19/31.69 tff(13397,plain,
% 49.19/31.69 (v141(constB33)),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13396, 13382])).
% 49.19/31.69 tff(13398,plain,
% 49.19/31.69 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | v140(VarCurr)) <=> ((~v141(VarCurr)) | v140(VarCurr)))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13399,plain,
% 49.19/31.69 (![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13398])).
% 49.19/31.69 tff(13400,plain,
% 49.19/31.69 (![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13401,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_29_1_1_1')).
% 49.19/31.69 tff(13402,plain,
% 49.19/31.69 (![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13401, 13400])).
% 49.19/31.69 tff(13403,plain,(
% 49.19/31.69 ![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))),
% 49.19/31.69 inference(skolemize,[status(sab)],[13402])).
% 49.19/31.69 tff(13404,plain,
% 49.19/31.69 (![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13403, 13399])).
% 49.19/31.69 tff(13405,plain,
% 49.19/31.69 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB33) | (~v141(constB33)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB33) | (~v141(constB33)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13406,plain,
% 49.19/31.69 (((~v141(constB33)) | v140(constB33)) <=> (v140(constB33) | (~v141(constB33)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13407,plain,
% 49.19/31.69 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB33)) | v140(constB33))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB33) | (~v141(constB33))))),
% 49.19/31.69 inference(monotonicity,[status(thm)],[13406])).
% 49.19/31.69 tff(13408,plain,
% 49.19/31.69 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB33)) | v140(constB33))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB33) | (~v141(constB33)))),
% 49.19/31.69 inference(transitivity,[status(thm)],[13407, 13405])).
% 49.19/31.69 tff(13409,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB33)) | v140(constB33))),
% 49.19/31.69 inference(quant_inst,[status(thm)],[])).
% 49.19/31.69 tff(13410,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB33) | (~v141(constB33))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13409, 13408])).
% 49.19/31.69 tff(13411,plain,
% 49.19/31.69 (v140(constB33)),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13410, 13404, 13397])).
% 49.19/31.69 tff(13412,plain,
% 49.19/31.69 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v163(VarCurr))) <=> ((~v140(VarCurr)) | (~v163(VarCurr))))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13413,plain,
% 49.19/31.69 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13412])).
% 49.19/31.69 tff(13414,plain,
% 49.19/31.69 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13415,plain,
% 49.19/31.69 (^[VarCurr: state_type] : rewrite(((~v163(VarCurr)) | (~v140(VarCurr))) <=> ((~v140(VarCurr)) | (~v163(VarCurr))))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13416,plain,
% 49.19/31.69 (![VarCurr: state_type] : ((~v163(VarCurr)) | (~v140(VarCurr))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13415])).
% 49.19/31.69 tff(13417,axiom,(![VarCurr: state_type] : ((~v163(VarCurr)) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_3')).
% 49.19/31.69 tff(13418,plain,
% 49.19/31.69 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13417, 13416])).
% 49.19/31.69 tff(13419,plain,
% 49.19/31.69 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13418, 13414])).
% 49.19/31.69 tff(13420,plain,(
% 49.19/31.69 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 49.19/31.69 inference(skolemize,[status(sab)],[13419])).
% 49.19/31.69 tff(13421,plain,
% 49.19/31.69 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13420, 13413])).
% 49.19/31.69 tff(13422,plain,
% 49.19/31.69 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB33)) | (~v163(constB33)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB33)) | (~v163(constB33)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13423,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB33)) | (~v163(constB33)))),
% 49.19/31.69 inference(quant_inst,[status(thm)],[])).
% 49.19/31.69 tff(13424,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB33)) | (~v163(constB33))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13423, 13422])).
% 49.19/31.69 tff(13425,plain,
% 49.19/31.69 (~v163(constB33)),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13424, 13421, 13411])).
% 49.19/31.69 tff(13426,plain,
% 49.19/31.69 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB29)) | (~v84(constB29, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB29)) | (~v84(constB29, bitIndex1)))),
% 49.19/31.69 inference(rewrite,[status(thm)],[])).
% 49.19/31.69 tff(13427,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB29)) | (~v84(constB29, bitIndex1)))),
% 49.19/31.69 inference(quant_inst,[status(thm)],[])).
% 49.19/31.69 tff(13428,plain,
% 49.19/31.69 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB29)) | (~v84(constB29, bitIndex1))),
% 49.19/31.69 inference(modus_ponens,[status(thm)],[13427, 13426])).
% 49.19/31.69 tff(13429,plain,
% 49.19/31.69 (~v145(constB29)),
% 49.19/31.69 inference(unit_resolution,[status(thm)],[13428, 1091, 5032])).
% 49.19/31.69 tff(13430,plain,
% 49.19/31.69 (^[VarCurr: state_type] : refl((v145(VarCurr) | (~v144(VarCurr))) <=> (v145(VarCurr) | (~v144(VarCurr))))),
% 49.19/31.69 inference(bind,[status(th)],[])).
% 49.19/31.69 tff(13431,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.69 inference(quant_intro,[status(thm)],[13430])).
% 49.19/31.69 tff(13432,plain,
% 49.19/31.69 (![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13433,plain,
% 49.19/31.70 (^[VarCurr: state_type] : rewrite(((~v144(VarCurr)) | v145(VarCurr)) <=> (v145(VarCurr) | (~v144(VarCurr))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13434,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v144(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13433])).
% 49.19/31.70 tff(13435,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v145(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31_1_2')).
% 49.19/31.70 tff(13436,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13435, 13434])).
% 49.19/31.70 tff(13437,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13436, 13432])).
% 49.19/31.70 tff(13438,plain,(
% 49.19/31.70 ![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.70 inference(skolemize,[status(sab)],[13437])).
% 49.19/31.70 tff(13439,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13438, 13431])).
% 49.19/31.70 tff(13440,plain,
% 49.19/31.70 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB29) | (~v144(constB29)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB29) | (~v144(constB29)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13441,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB29) | (~v144(constB29)))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13442,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB29) | (~v144(constB29))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13441, 13440])).
% 49.19/31.70 tff(13443,plain,
% 49.19/31.70 (~v144(constB29)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13442, 13439, 13429])).
% 49.19/31.70 tff(13444,plain,
% 49.19/31.70 (^[VarCurr: state_type] : refl((v144(VarCurr) | (~v142(VarCurr))) <=> (v144(VarCurr) | (~v142(VarCurr))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13445,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13444])).
% 49.19/31.70 tff(13446,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13447,plain,
% 49.19/31.70 (^[VarCurr: state_type] : rewrite(((~v142(VarCurr)) | v144(VarCurr)) <=> (v144(VarCurr) | (~v142(VarCurr))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13448,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v142(VarCurr)) | v144(VarCurr)) <=> ![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13447])).
% 49.19/31.70 tff(13449,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v144(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_1_2')).
% 49.19/31.70 tff(13450,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13449, 13448])).
% 49.19/31.70 tff(13451,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13450, 13446])).
% 49.19/31.70 tff(13452,plain,(
% 49.19/31.70 ![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 49.19/31.70 inference(skolemize,[status(sab)],[13451])).
% 49.19/31.70 tff(13453,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13452, 13445])).
% 49.19/31.70 tff(13454,plain,
% 49.19/31.70 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB29) | (~v142(constB29)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB29) | (~v142(constB29)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13455,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB29) | (~v142(constB29)))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13456,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB29) | (~v142(constB29))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13455, 13454])).
% 49.19/31.70 tff(13457,plain,
% 49.19/31.70 (~v142(constB29)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13456, 13453, 13443])).
% 49.19/31.70 tff(13458,assumption,(v18(constB30)), introduced(assumption)).
% 49.19/31.70 tff(13459,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB30))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13460,plain,
% 49.19/31.70 ($false),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13459, 13324, 13458])).
% 49.19/31.70 tff(13461,plain,(~v18(constB30)), inference(lemma,lemma(discharge,[]))).
% 49.19/31.70 tff(13462,plain,
% 49.19/31.70 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13463,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13464,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13463, 13462])).
% 49.19/31.70 tff(13465,plain,
% 49.19/31.70 (v22(constB30)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13464, 13337, 5144])).
% 49.19/31.70 tff(13466,plain,
% 49.19/31.70 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB30) | (~v22(constB30)) | (~v19(constB30)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB30) | (~v22(constB30)) | (~v19(constB30)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13467,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB30) | (~v22(constB30)) | (~v19(constB30)))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13468,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB30) | (~v22(constB30)) | (~v19(constB30))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13467, 13466])).
% 49.19/31.70 tff(13469,plain,
% 49.19/31.70 (v18(constB30) | (~v19(constB30))),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13468, 13351, 13465])).
% 49.19/31.70 tff(13470,plain,
% 49.19/31.70 (~v19(constB30)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13469, 13461])).
% 49.19/31.70 tff(13471,plain,
% 49.19/31.70 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13472,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13473,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30)),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13472, 13471])).
% 49.19/31.70 tff(13474,plain,
% 49.19/31.70 (v13(constB30)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13473, 13363, 13470])).
% 49.19/31.70 tff(13475,plain,
% 49.19/31.70 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13476,plain,
% 49.19/31.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13477,plain,
% 49.19/31.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13476, 13475])).
% 49.19/31.70 tff(13478,plain,
% 49.19/31.70 (v9(constB29) | (~v13(constB30))),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13477, 13377, 5124])).
% 49.19/31.70 tff(13479,plain,
% 49.19/31.70 (v9(constB29)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13478, 13474])).
% 49.19/31.70 tff(13480,plain,
% 49.19/31.70 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v141(constB29))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB29) | (~v9(constB29)) | v141(constB29))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13481,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v141(constB29))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13482,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB29) | (~v9(constB29)) | v141(constB29)),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13481, 13480])).
% 49.19/31.70 tff(13483,plain,
% 49.19/31.70 ((~v9(constB29)) | v141(constB29)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13482, 13392, 4977])).
% 49.19/31.70 tff(13484,plain,
% 49.19/31.70 (v141(constB29)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13483, 13479])).
% 49.19/31.70 tff(13485,plain,
% 49.19/31.70 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB29)) | v140(constB29))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB29)) | v140(constB29))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13486,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB29)) | v140(constB29))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13487,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB29)) | v140(constB29)),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13486, 13485])).
% 49.19/31.70 tff(13488,plain,
% 49.19/31.70 (v140(constB29)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13487, 13404, 13484])).
% 49.19/31.70 tff(13489,plain,
% 49.19/31.70 (^[VarCurr: state_type] : refl(((~v138(VarCurr)) | (~v140(VarCurr))) <=> ((~v138(VarCurr)) | (~v140(VarCurr))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13490,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr))) <=> ![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13489])).
% 49.19/31.70 tff(13491,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr))) <=> ![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13492,axiom,(![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1_3')).
% 49.19/31.70 tff(13493,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13492, 13491])).
% 49.19/31.70 tff(13494,plain,(
% 49.19/31.70 ![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))),
% 49.19/31.70 inference(skolemize,[status(sab)],[13493])).
% 49.19/31.70 tff(13495,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13494, 13490])).
% 49.19/31.70 tff(13496,plain,
% 49.19/31.70 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB29)) | (~v140(constB29)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB29)) | (~v140(constB29)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13497,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB29)) | (~v140(constB29)))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13498,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB29)) | (~v140(constB29))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13497, 13496])).
% 49.19/31.70 tff(13499,plain,
% 49.19/31.70 (~v138(constB29)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13498, 13495, 13488])).
% 49.19/31.70 tff(13500,plain,
% 49.19/31.70 (^[VarCurr: state_type] : refl((v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13501,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> ![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13500])).
% 49.19/31.70 tff(13502,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> ![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13503,plain,
% 49.19/31.70 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v135(VarCurr)) | v138(VarCurr)) <=> (v138(VarCurr) | (~v135(VarCurr)))), ((((~v135(VarCurr)) | v138(VarCurr)) | v142(VarCurr)) <=> ((v138(VarCurr) | (~v135(VarCurr))) | v142(VarCurr)))), rewrite(((v138(VarCurr) | (~v135(VarCurr))) | v142(VarCurr)) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))), ((((~v135(VarCurr)) | v138(VarCurr)) | v142(VarCurr)) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13504,plain,
% 49.19/31.70 (![VarCurr: state_type] : (((~v135(VarCurr)) | v138(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13503])).
% 49.19/31.70 tff(13505,axiom,(![VarCurr: state_type] : (((~v135(VarCurr)) | v138(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_33_1_3')).
% 49.19/31.70 tff(13506,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13505, 13504])).
% 49.19/31.70 tff(13507,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13506, 13502])).
% 49.19/31.70 tff(13508,plain,(
% 49.19/31.70 ![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 49.19/31.70 inference(skolemize,[status(sab)],[13507])).
% 49.19/31.70 tff(13509,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13508, 13501])).
% 49.19/31.70 tff(13510,plain,
% 49.19/31.70 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB29) | v142(constB29) | (~v135(constB29)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB29) | v142(constB29) | (~v135(constB29)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13511,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB29) | v142(constB29) | (~v135(constB29)))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13512,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB29) | v142(constB29) | (~v135(constB29))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13511, 13510])).
% 49.19/31.70 tff(13513,plain,
% 49.19/31.70 (v142(constB29) | (~v135(constB29))),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13512, 13509, 13499])).
% 49.19/31.70 tff(13514,plain,
% 49.19/31.70 (~v135(constB29)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13513, 13457])).
% 49.19/31.70 tff(13515,plain,
% 49.19/31.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13516,plain,
% 49.19/31.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13515])).
% 49.19/31.70 tff(13517,plain,
% 49.19/31.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13518,plain,
% 49.19/31.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v137(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) | v135(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) | v135(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) | v135(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) | v135(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13519,plain,
% 49.19/31.70 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) | v135(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13518])).
% 49.19/31.70 tff(13520,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) | v135(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 49.19/31.70 tff(13521,plain,
% 49.19/31.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13520, 13519])).
% 49.19/31.70 tff(13522,plain,
% 49.19/31.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13521, 13517])).
% 49.19/31.70 tff(13523,plain,(
% 49.19/31.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 49.19/31.70 inference(skolemize,[status(sab)],[13522])).
% 49.19/31.70 tff(13524,plain,
% 49.19/31.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13523, 13516])).
% 49.19/31.70 tff(13525,plain,
% 49.19/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13526,plain,
% 49.19/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30)))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13527,plain,
% 49.19/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13526, 13525])).
% 49.19/31.70 tff(13528,plain,
% 49.19/31.70 (v135(constB29) | (~v137(constB30))),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13527, 13524, 5124])).
% 49.19/31.70 tff(13529,plain,
% 49.19/31.70 (~v137(constB30)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13528, 13514])).
% 49.19/31.70 tff(13530,plain,
% 49.19/31.70 (^[VarCurr: state_type] : refl((v137(VarCurr) | (~v138(VarCurr))) <=> (v137(VarCurr) | (~v138(VarCurr))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13531,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr))) <=> ![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13530])).
% 49.19/31.70 tff(13532,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr))) <=> ![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13533,plain,
% 49.19/31.70 (^[VarCurr: state_type] : rewrite(((~v138(VarCurr)) | v137(VarCurr)) <=> (v137(VarCurr) | (~v138(VarCurr))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13534,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v138(VarCurr)) | v137(VarCurr)) <=> ![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13533])).
% 49.19/31.70 tff(13535,axiom,(![VarCurr: state_type] : ((~v138(VarCurr)) | v137(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1_2')).
% 49.19/31.70 tff(13536,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13535, 13534])).
% 49.19/31.70 tff(13537,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13536, 13532])).
% 49.19/31.70 tff(13538,plain,(
% 49.19/31.70 ![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 49.19/31.70 inference(skolemize,[status(sab)],[13537])).
% 49.19/31.70 tff(13539,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13538, 13531])).
% 49.19/31.70 tff(13540,plain,
% 49.19/31.70 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB30) | (~v138(constB30)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB30) | (~v138(constB30)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13541,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB30) | (~v138(constB30)))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13542,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB30) | (~v138(constB30))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13541, 13540])).
% 49.19/31.70 tff(13543,plain,
% 49.19/31.70 (~v138(constB30)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13542, 13539, 13529])).
% 49.19/31.70 tff(13544,plain,
% 49.19/31.70 (^[VarCurr: state_type] : refl(((~v1(VarCurr)) | (~v141(VarCurr))) <=> ((~v1(VarCurr)) | (~v141(VarCurr))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13545,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13544])).
% 49.19/31.70 tff(13546,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13547,plain,
% 49.19/31.70 (^[VarCurr: state_type] : rewrite(((~v141(VarCurr)) | (~v1(VarCurr))) <=> ((~v1(VarCurr)) | (~v141(VarCurr))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13548,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13547])).
% 49.19/31.70 tff(13549,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | (~v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_28_1_1_2')).
% 49.19/31.70 tff(13550,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13549, 13548])).
% 49.19/31.70 tff(13551,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13550, 13546])).
% 49.19/31.70 tff(13552,plain,(
% 49.19/31.70 ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 49.19/31.70 inference(skolemize,[status(sab)],[13551])).
% 49.19/31.70 tff(13553,plain,
% 49.19/31.70 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13552, 13545])).
% 49.19/31.70 tff(13554,plain,
% 49.19/31.70 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB30)) | (~v141(constB30)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB30)) | (~v141(constB30)))),
% 49.19/31.70 inference(rewrite,[status(thm)],[])).
% 49.19/31.70 tff(13555,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB30)) | (~v141(constB30)))),
% 49.19/31.70 inference(quant_inst,[status(thm)],[])).
% 49.19/31.70 tff(13556,plain,
% 49.19/31.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB30)) | (~v141(constB30))),
% 49.19/31.70 inference(modus_ponens,[status(thm)],[13555, 13554])).
% 49.19/31.70 tff(13557,plain,
% 49.19/31.70 (~v141(constB30)),
% 49.19/31.70 inference(unit_resolution,[status(thm)],[13556, 13553, 5144])).
% 49.19/31.70 tff(13558,plain,
% 49.19/31.70 (^[VarCurr: state_type] : refl((v141(VarCurr) | (~v144(VarCurr))) <=> (v141(VarCurr) | (~v144(VarCurr))))),
% 49.19/31.70 inference(bind,[status(th)],[])).
% 49.19/31.70 tff(13559,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.70 inference(quant_intro,[status(thm)],[13558])).
% 49.19/31.70 tff(13560,plain,
% 49.19/31.70 (![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13561,plain,
% 49.19/31.71 (^[VarCurr: state_type] : rewrite(((~v144(VarCurr)) | v141(VarCurr)) <=> (v141(VarCurr) | (~v144(VarCurr))))),
% 49.19/31.71 inference(bind,[status(th)],[])).
% 49.19/31.71 tff(13562,plain,
% 49.19/31.71 (![VarCurr: state_type] : ((~v144(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.71 inference(quant_intro,[status(thm)],[13561])).
% 49.19/31.71 tff(13563,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v141(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31_1_3')).
% 49.19/31.71 tff(13564,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13563, 13562])).
% 49.19/31.71 tff(13565,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13564, 13560])).
% 49.19/31.71 tff(13566,plain,(
% 49.19/31.71 ![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.71 inference(skolemize,[status(sab)],[13565])).
% 49.19/31.71 tff(13567,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13566, 13559])).
% 49.19/31.71 tff(13568,plain,
% 49.19/31.71 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB30) | (~v144(constB30)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB30) | (~v144(constB30)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13569,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB30) | (~v144(constB30)))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13570,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB30) | (~v144(constB30))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13569, 13568])).
% 49.19/31.71 tff(13571,plain,
% 49.19/31.71 (~v144(constB30)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13570, 13567, 13557])).
% 49.19/31.71 tff(13572,plain,
% 49.19/31.71 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB30) | (~v142(constB30)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB30) | (~v142(constB30)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13573,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB30) | (~v142(constB30)))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13574,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB30) | (~v142(constB30))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13573, 13572])).
% 49.19/31.71 tff(13575,plain,
% 49.19/31.71 (~v142(constB30)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13574, 13453, 13571])).
% 49.19/31.71 tff(13576,plain,
% 49.19/31.71 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB30) | v142(constB30) | (~v135(constB30)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB30) | v142(constB30) | (~v135(constB30)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13577,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB30) | v142(constB30) | (~v135(constB30)))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13578,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB30) | v142(constB30) | (~v135(constB30))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13577, 13576])).
% 49.19/31.71 tff(13579,plain,
% 49.19/31.71 (v138(constB30) | (~v135(constB30))),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13578, 13509, 13575])).
% 49.19/31.71 tff(13580,plain,
% 49.19/31.71 (~v135(constB30)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13579, 13543])).
% 49.19/31.71 tff(13581,plain,
% 49.19/31.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13582,plain,
% 49.19/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31)))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13583,plain,
% 49.19/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13582, 13581])).
% 49.19/31.71 tff(13584,plain,
% 49.19/31.71 (v135(constB30) | (~v137(constB31))),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13583, 13524, 5186])).
% 49.19/31.71 tff(13585,plain,
% 49.19/31.71 (~v137(constB31)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13584, 13580])).
% 49.19/31.71 tff(13586,plain,
% 49.19/31.71 (^[VarCurr: state_type] : refl((v137(VarCurr) | (~v154(VarCurr))) <=> (v137(VarCurr) | (~v154(VarCurr))))),
% 49.19/31.71 inference(bind,[status(th)],[])).
% 49.19/31.71 tff(13587,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.71 inference(quant_intro,[status(thm)],[13586])).
% 49.19/31.71 tff(13588,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13589,plain,
% 49.19/31.71 (^[VarCurr: state_type] : rewrite(((~v154(VarCurr)) | v137(VarCurr)) <=> (v137(VarCurr) | (~v154(VarCurr))))),
% 49.19/31.71 inference(bind,[status(th)],[])).
% 49.19/31.71 tff(13590,plain,
% 49.19/31.71 (![VarCurr: state_type] : ((~v154(VarCurr)) | v137(VarCurr)) <=> ![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.71 inference(quant_intro,[status(thm)],[13589])).
% 49.19/31.71 tff(13591,axiom,(![VarCurr: state_type] : ((~v154(VarCurr)) | v137(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_1_3')).
% 49.19/31.71 tff(13592,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13591, 13590])).
% 49.19/31.71 tff(13593,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13592, 13588])).
% 49.19/31.71 tff(13594,plain,(
% 49.19/31.71 ![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.71 inference(skolemize,[status(sab)],[13593])).
% 49.19/31.71 tff(13595,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13594, 13587])).
% 49.19/31.71 tff(13596,plain,
% 49.19/31.71 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB31) | (~v154(constB31)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB31) | (~v154(constB31)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13597,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB31) | (~v154(constB31)))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13598,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB31) | (~v154(constB31))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13597, 13596])).
% 49.19/31.71 tff(13599,plain,
% 49.19/31.71 (~v154(constB31)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13598, 13595, 13585])).
% 49.19/31.71 tff(13600,assumption,(v18(constB32)), introduced(assumption)).
% 49.19/31.71 tff(13601,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB32))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13602,plain,
% 49.19/31.71 ($false),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13601, 13324, 13600])).
% 49.19/31.71 tff(13603,plain,(~v18(constB32)), inference(lemma,lemma(discharge,[]))).
% 49.19/31.71 tff(13604,plain,
% 49.19/31.71 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB32) | (~v1(constB32)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB32) | (~v1(constB32)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13605,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB32) | (~v1(constB32)))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13606,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB32) | (~v1(constB32))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13605, 13604])).
% 49.19/31.71 tff(13607,plain,
% 49.19/31.71 (v22(constB32)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13606, 13337, 5334])).
% 49.19/31.71 tff(13608,plain,
% 49.19/31.71 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB32) | (~v22(constB32)) | (~v19(constB32)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB32) | (~v22(constB32)) | (~v19(constB32)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13609,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB32) | (~v22(constB32)) | (~v19(constB32)))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13610,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB32) | (~v22(constB32)) | (~v19(constB32))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13609, 13608])).
% 49.19/31.71 tff(13611,plain,
% 49.19/31.71 (v18(constB32) | (~v19(constB32))),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13610, 13351, 13607])).
% 49.19/31.71 tff(13612,plain,
% 49.19/31.71 (~v19(constB32)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13611, 13603])).
% 49.19/31.71 tff(13613,plain,
% 49.19/31.71 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB32) | v19(constB32))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB32) | v19(constB32))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13614,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB32) | v19(constB32))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13615,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB32) | v19(constB32)),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13614, 13613])).
% 49.19/31.71 tff(13616,plain,
% 49.19/31.71 (v13(constB32)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13615, 13363, 13612])).
% 49.19/31.71 tff(13617,plain,
% 49.19/31.71 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13618,plain,
% 49.19/31.71 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13619,plain,
% 49.19/31.71 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13618, 13617])).
% 49.19/31.71 tff(13620,plain,
% 49.19/31.71 (v9(constB31) | (~v13(constB32))),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13619, 13377, 5314])).
% 49.19/31.71 tff(13621,plain,
% 49.19/31.71 (v9(constB31)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13620, 13616])).
% 49.19/31.71 tff(13622,plain,
% 49.19/31.71 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB31) | (~v9(constB31)) | v141(constB31))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB31) | (~v9(constB31)) | v141(constB31))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13623,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB31) | (~v9(constB31)) | v141(constB31))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13624,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB31) | (~v9(constB31)) | v141(constB31)),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13623, 13622])).
% 49.19/31.71 tff(13625,plain,
% 49.19/31.71 ((~v9(constB31)) | v141(constB31)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13624, 13392, 5183])).
% 49.19/31.71 tff(13626,plain,
% 49.19/31.71 (v141(constB31)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13625, 13621])).
% 49.19/31.71 tff(13627,plain,
% 49.19/31.71 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB31)) | v140(constB31))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB31)) | v140(constB31))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13628,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB31)) | v140(constB31))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13629,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB31)) | v140(constB31)),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13628, 13627])).
% 49.19/31.71 tff(13630,plain,
% 49.19/31.71 (v140(constB31)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13629, 13404, 13626])).
% 49.19/31.71 tff(13631,plain,
% 49.19/31.71 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v153(VarCurr))) <=> ((~v140(VarCurr)) | (~v153(VarCurr))))),
% 49.19/31.71 inference(bind,[status(th)],[])).
% 49.19/31.71 tff(13632,plain,
% 49.19/31.71 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 49.19/31.71 inference(quant_intro,[status(thm)],[13631])).
% 49.19/31.71 tff(13633,plain,
% 49.19/31.71 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13634,plain,
% 49.19/31.71 (^[VarCurr: state_type] : rewrite(((~v153(VarCurr)) | (~v140(VarCurr))) <=> ((~v140(VarCurr)) | (~v153(VarCurr))))),
% 49.19/31.71 inference(bind,[status(th)],[])).
% 49.19/31.71 tff(13635,plain,
% 49.19/31.71 (![VarCurr: state_type] : ((~v153(VarCurr)) | (~v140(VarCurr))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 49.19/31.71 inference(quant_intro,[status(thm)],[13634])).
% 49.19/31.71 tff(13636,axiom,(![VarCurr: state_type] : ((~v153(VarCurr)) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_34_1_1_3')).
% 49.19/31.71 tff(13637,plain,
% 49.19/31.71 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13636, 13635])).
% 49.19/31.71 tff(13638,plain,
% 49.19/31.71 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13637, 13633])).
% 49.19/31.71 tff(13639,plain,(
% 49.19/31.71 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 49.19/31.71 inference(skolemize,[status(sab)],[13638])).
% 49.19/31.71 tff(13640,plain,
% 49.19/31.71 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13639, 13632])).
% 49.19/31.71 tff(13641,plain,
% 49.19/31.71 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB31)) | (~v153(constB31)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB31)) | (~v153(constB31)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13642,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB31)) | (~v153(constB31)))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13643,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB31)) | (~v153(constB31))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13642, 13641])).
% 49.19/31.71 tff(13644,plain,
% 49.19/31.71 (~v153(constB31)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13643, 13640, 13630])).
% 49.19/31.71 tff(13645,plain,
% 49.19/31.71 (^[VarCurr: state_type] : refl((v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr))) <=> (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr))))),
% 49.19/31.71 inference(bind,[status(th)],[])).
% 49.19/31.71 tff(13646,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr))) <=> ![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 49.19/31.71 inference(quant_intro,[status(thm)],[13645])).
% 49.19/31.71 tff(13647,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr))) <=> ![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13648,plain,
% 49.19/31.71 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v150(VarCurr)) | v153(VarCurr)) <=> (v153(VarCurr) | (~v150(VarCurr)))), ((((~v150(VarCurr)) | v153(VarCurr)) | v154(VarCurr)) <=> ((v153(VarCurr) | (~v150(VarCurr))) | v154(VarCurr)))), rewrite(((v153(VarCurr) | (~v150(VarCurr))) | v154(VarCurr)) <=> (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))), ((((~v150(VarCurr)) | v153(VarCurr)) | v154(VarCurr)) <=> (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))))),
% 49.19/31.71 inference(bind,[status(th)],[])).
% 49.19/31.71 tff(13649,plain,
% 49.19/31.71 (![VarCurr: state_type] : (((~v150(VarCurr)) | v153(VarCurr)) | v154(VarCurr)) <=> ![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 49.19/31.71 inference(quant_intro,[status(thm)],[13648])).
% 49.19/31.71 tff(13650,axiom,(![VarCurr: state_type] : (((~v150(VarCurr)) | v153(VarCurr)) | v154(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_3')).
% 49.19/31.71 tff(13651,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13650, 13649])).
% 49.19/31.71 tff(13652,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13651, 13647])).
% 49.19/31.71 tff(13653,plain,(
% 49.19/31.71 ![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 49.19/31.71 inference(skolemize,[status(sab)],[13652])).
% 49.19/31.71 tff(13654,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13653, 13646])).
% 49.19/31.71 tff(13655,plain,
% 49.19/31.71 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB31) | v154(constB31) | (~v150(constB31)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB31) | v154(constB31) | (~v150(constB31)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13656,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB31) | v154(constB31) | (~v150(constB31)))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13657,plain,
% 49.19/31.71 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB31) | v154(constB31) | (~v150(constB31))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13656, 13655])).
% 49.19/31.71 tff(13658,plain,
% 49.19/31.71 (v154(constB31) | (~v150(constB31))),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13657, 13654, 13644])).
% 49.19/31.71 tff(13659,plain,
% 49.19/31.71 (~v150(constB31)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13658, 13599])).
% 49.19/31.71 tff(13660,plain,
% 49.19/31.71 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))))),
% 49.19/31.71 inference(bind,[status(th)],[])).
% 49.19/31.71 tff(13661,plain,
% 49.19/31.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 49.19/31.71 inference(quant_intro,[status(thm)],[13660])).
% 49.19/31.71 tff(13662,plain,
% 49.19/31.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13663,plain,
% 49.19/31.71 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v152(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) | v150(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) | v150(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) | v150(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) | v150(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))))),
% 49.19/31.71 inference(bind,[status(th)],[])).
% 49.19/31.71 tff(13664,plain,
% 49.19/31.71 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) | v150(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 49.19/31.71 inference(quant_intro,[status(thm)],[13663])).
% 49.19/31.71 tff(13665,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) | v150(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_9_1_2')).
% 49.19/31.71 tff(13666,plain,
% 49.19/31.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13665, 13664])).
% 49.19/31.71 tff(13667,plain,
% 49.19/31.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13666, 13662])).
% 49.19/31.71 tff(13668,plain,(
% 49.19/31.71 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 49.19/31.71 inference(skolemize,[status(sab)],[13667])).
% 49.19/31.71 tff(13669,plain,
% 49.19/31.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13668, 13661])).
% 49.19/31.71 tff(13670,plain,
% 49.19/31.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB31, constB32)) | v150(constB31) | (~v152(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB31, constB32)) | v150(constB31) | (~v152(constB32)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13671,plain,
% 49.19/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB31, constB32)) | v150(constB31) | (~v152(constB32)))),
% 49.19/31.71 inference(quant_inst,[status(thm)],[])).
% 49.19/31.71 tff(13672,plain,
% 49.19/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB31, constB32)) | v150(constB31) | (~v152(constB32))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13671, 13670])).
% 49.19/31.71 tff(13673,plain,
% 49.19/31.71 (v150(constB31) | (~v152(constB32))),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13672, 13669, 5314])).
% 49.19/31.71 tff(13674,plain,
% 49.19/31.71 (~v152(constB32)),
% 49.19/31.71 inference(unit_resolution,[status(thm)],[13673, 13659])).
% 49.19/31.71 tff(13675,plain,
% 49.19/31.71 (^[VarCurr: state_type] : refl((v152(VarCurr) | (~v153(VarCurr))) <=> (v152(VarCurr) | (~v153(VarCurr))))),
% 49.19/31.71 inference(bind,[status(th)],[])).
% 49.19/31.71 tff(13676,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))),
% 49.19/31.71 inference(quant_intro,[status(thm)],[13675])).
% 49.19/31.71 tff(13677,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))),
% 49.19/31.71 inference(rewrite,[status(thm)],[])).
% 49.19/31.71 tff(13678,plain,
% 49.19/31.71 (^[VarCurr: state_type] : rewrite(((~v153(VarCurr)) | v152(VarCurr)) <=> (v152(VarCurr) | (~v153(VarCurr))))),
% 49.19/31.71 inference(bind,[status(th)],[])).
% 49.19/31.71 tff(13679,plain,
% 49.19/31.71 (![VarCurr: state_type] : ((~v153(VarCurr)) | v152(VarCurr)) <=> ![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))),
% 49.19/31.71 inference(quant_intro,[status(thm)],[13678])).
% 49.19/31.71 tff(13680,axiom,(![VarCurr: state_type] : ((~v153(VarCurr)) | v152(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_34_1_1_2')).
% 49.19/31.71 tff(13681,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13680, 13679])).
% 49.19/31.71 tff(13682,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13681, 13677])).
% 49.19/31.71 tff(13683,plain,(
% 49.19/31.71 ![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))),
% 49.19/31.71 inference(skolemize,[status(sab)],[13682])).
% 49.19/31.71 tff(13684,plain,
% 49.19/31.71 (![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))),
% 49.19/31.71 inference(modus_ponens,[status(thm)],[13683, 13676])).
% 49.19/31.71 tff(13685,plain,
% 49.19/31.71 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB32) | (~v153(constB32)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB32) | (~v153(constB32)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13686,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB32) | (~v153(constB32)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13687,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB32) | (~v153(constB32))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13686, 13685])).
% 49.19/31.72 tff(13688,plain,
% 49.19/31.72 (~v153(constB32)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13687, 13684, 13674])).
% 49.19/31.72 tff(13689,plain,
% 49.19/31.72 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB32)) | (~v141(constB32)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB32)) | (~v141(constB32)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13690,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB32)) | (~v141(constB32)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13691,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB32)) | (~v141(constB32))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13690, 13689])).
% 49.19/31.72 tff(13692,plain,
% 49.19/31.72 (~v141(constB32)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13691, 13553, 5334])).
% 49.19/31.72 tff(13693,plain,
% 49.19/31.72 (^[VarCurr: state_type] : refl((v141(VarCurr) | (~v155(VarCurr))) <=> (v141(VarCurr) | (~v155(VarCurr))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13694,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13693])).
% 49.19/31.72 tff(13695,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13696,plain,
% 49.19/31.72 (^[VarCurr: state_type] : rewrite(((~v155(VarCurr)) | v141(VarCurr)) <=> (v141(VarCurr) | (~v155(VarCurr))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13697,plain,
% 49.19/31.72 (![VarCurr: state_type] : ((~v155(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13696])).
% 49.19/31.72 tff(13698,axiom,(![VarCurr: state_type] : ((~v155(VarCurr)) | v141(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_35_1_1_2')).
% 49.19/31.72 tff(13699,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13698, 13697])).
% 49.19/31.72 tff(13700,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13699, 13695])).
% 49.19/31.72 tff(13701,plain,(
% 49.19/31.72 ![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))),
% 49.19/31.72 inference(skolemize,[status(sab)],[13700])).
% 49.19/31.72 tff(13702,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13701, 13694])).
% 49.19/31.72 tff(13703,plain,
% 49.19/31.72 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB32) | (~v155(constB32)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB32) | (~v155(constB32)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13704,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB32) | (~v155(constB32)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13705,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB32) | (~v155(constB32))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13704, 13703])).
% 49.19/31.72 tff(13706,plain,
% 49.19/31.72 (~v155(constB32)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13705, 13702, 13692])).
% 49.19/31.72 tff(13707,plain,
% 49.19/31.72 (^[VarCurr: state_type] : refl((v155(VarCurr) | (~v154(VarCurr))) <=> (v155(VarCurr) | (~v154(VarCurr))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13708,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13707])).
% 49.19/31.72 tff(13709,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13710,plain,
% 49.19/31.72 (^[VarCurr: state_type] : rewrite(((~v154(VarCurr)) | v155(VarCurr)) <=> (v155(VarCurr) | (~v154(VarCurr))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13711,plain,
% 49.19/31.72 (![VarCurr: state_type] : ((~v154(VarCurr)) | v155(VarCurr)) <=> ![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13710])).
% 49.19/31.72 tff(13712,axiom,(![VarCurr: state_type] : ((~v154(VarCurr)) | v155(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_1_2')).
% 49.19/31.72 tff(13713,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13712, 13711])).
% 49.19/31.72 tff(13714,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13713, 13709])).
% 49.19/31.72 tff(13715,plain,(
% 49.19/31.72 ![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.72 inference(skolemize,[status(sab)],[13714])).
% 49.19/31.72 tff(13716,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13715, 13708])).
% 49.19/31.72 tff(13717,plain,
% 49.19/31.72 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB32) | (~v154(constB32)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB32) | (~v154(constB32)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13718,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB32) | (~v154(constB32)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13719,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB32) | (~v154(constB32))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13718, 13717])).
% 49.19/31.72 tff(13720,plain,
% 49.19/31.72 (~v154(constB32)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13719, 13716, 13706])).
% 49.19/31.72 tff(13721,plain,
% 49.19/31.72 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB32) | v154(constB32) | (~v150(constB32)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB32) | v154(constB32) | (~v150(constB32)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13722,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB32) | v154(constB32) | (~v150(constB32)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13723,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB32) | v154(constB32) | (~v150(constB32))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13722, 13721])).
% 49.19/31.72 tff(13724,plain,
% 49.19/31.72 (v153(constB32) | (~v150(constB32))),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13723, 13654, 13720])).
% 49.19/31.72 tff(13725,plain,
% 49.19/31.72 (~v150(constB32)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13724, 13688])).
% 49.19/31.72 tff(13726,plain,
% 49.19/31.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB32, constB33)) | v150(constB32) | (~v152(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB32, constB33)) | v150(constB32) | (~v152(constB33)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13727,plain,
% 49.19/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB32, constB33)) | v150(constB32) | (~v152(constB33)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13728,plain,
% 49.19/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB32, constB33)) | v150(constB32) | (~v152(constB33))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13727, 13726])).
% 49.19/31.72 tff(13729,plain,
% 49.19/31.72 (v150(constB32) | (~v152(constB33))),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13728, 13669, 5376])).
% 49.19/31.72 tff(13730,plain,
% 49.19/31.72 (~v152(constB33)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13729, 13725])).
% 49.19/31.72 tff(13731,plain,
% 49.19/31.72 (^[VarCurr: state_type] : refl((v152(VarCurr) | (~v164(VarCurr))) <=> (v152(VarCurr) | (~v164(VarCurr))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13732,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13731])).
% 49.19/31.72 tff(13733,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13734,plain,
% 49.19/31.72 (^[VarCurr: state_type] : rewrite(((~v164(VarCurr)) | v152(VarCurr)) <=> (v152(VarCurr) | (~v164(VarCurr))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13735,plain,
% 49.19/31.72 (![VarCurr: state_type] : ((~v164(VarCurr)) | v152(VarCurr)) <=> ![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13734])).
% 49.19/31.72 tff(13736,axiom,(![VarCurr: state_type] : ((~v164(VarCurr)) | v152(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_2')).
% 49.19/31.72 tff(13737,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13736, 13735])).
% 49.19/31.72 tff(13738,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13737, 13733])).
% 49.19/31.72 tff(13739,plain,(
% 49.19/31.72 ![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(skolemize,[status(sab)],[13738])).
% 49.19/31.72 tff(13740,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13739, 13732])).
% 49.19/31.72 tff(13741,plain,
% 49.19/31.72 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB33) | (~v164(constB33)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB33) | (~v164(constB33)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13742,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB33) | (~v164(constB33)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13743,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB33) | (~v164(constB33))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13742, 13741])).
% 49.19/31.72 tff(13744,plain,
% 49.19/31.72 (~v164(constB33)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13743, 13740, 13730])).
% 49.19/31.72 tff(13745,plain,
% 49.19/31.72 (^[VarCurr: state_type] : refl((v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr))) <=> (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13746,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr))) <=> ![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13745])).
% 49.19/31.72 tff(13747,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr))) <=> ![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13748,plain,
% 49.19/31.72 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v160(VarCurr)) | v163(VarCurr)) <=> (v163(VarCurr) | (~v160(VarCurr)))), ((((~v160(VarCurr)) | v163(VarCurr)) | v164(VarCurr)) <=> ((v163(VarCurr) | (~v160(VarCurr))) | v164(VarCurr)))), rewrite(((v163(VarCurr) | (~v160(VarCurr))) | v164(VarCurr)) <=> (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))), ((((~v160(VarCurr)) | v163(VarCurr)) | v164(VarCurr)) <=> (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13749,plain,
% 49.19/31.72 (![VarCurr: state_type] : (((~v160(VarCurr)) | v163(VarCurr)) | v164(VarCurr)) <=> ![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13748])).
% 49.19/31.72 tff(13750,axiom,(![VarCurr: state_type] : (((~v160(VarCurr)) | v163(VarCurr)) | v164(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_40_1_3')).
% 49.19/31.72 tff(13751,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 49.19/31.72 tff(13752,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13751, 13747])).
% 49.19/31.72 tff(13753,plain,(
% 49.19/31.72 ![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 49.19/31.72 inference(skolemize,[status(sab)],[13752])).
% 49.19/31.72 tff(13754,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13753, 13746])).
% 49.19/31.72 tff(13755,plain,
% 49.19/31.72 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB33) | v164(constB33) | (~v160(constB33)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB33) | v164(constB33) | (~v160(constB33)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13756,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB33) | v164(constB33) | (~v160(constB33)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13757,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB33) | v164(constB33) | (~v160(constB33))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13756, 13755])).
% 49.19/31.72 tff(13758,plain,
% 49.19/31.72 (v163(constB33) | (~v160(constB33))),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13757, 13754, 13744])).
% 49.19/31.72 tff(13759,plain,
% 49.19/31.72 (~v160(constB33)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13758, 13425])).
% 49.19/31.72 tff(13760,plain,
% 49.19/31.72 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13761,plain,
% 49.19/31.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13760])).
% 49.19/31.72 tff(13762,plain,
% 49.19/31.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13763,plain,
% 49.19/31.72 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v162(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) | v160(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) | v160(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) | v160(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) | v160(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13764,plain,
% 49.19/31.72 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) | v160(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13763])).
% 49.19/31.72 tff(13765,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) | v160(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_10_1_2')).
% 49.19/31.72 tff(13766,plain,
% 49.19/31.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13765, 13764])).
% 49.19/31.72 tff(13767,plain,
% 49.19/31.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13766, 13762])).
% 49.19/31.72 tff(13768,plain,(
% 49.19/31.72 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 49.19/31.72 inference(skolemize,[status(sab)],[13767])).
% 49.19/31.72 tff(13769,plain,
% 49.19/31.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13768, 13761])).
% 49.19/31.72 tff(13770,plain,
% 49.19/31.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB33, constB34)) | v160(constB33) | (~v162(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB33, constB34)) | v160(constB33) | (~v162(constB34)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13771,plain,
% 49.19/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB33, constB34)) | v160(constB33) | (~v162(constB34)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13772,plain,
% 49.19/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB33, constB34)) | v160(constB33) | (~v162(constB34))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13771, 13770])).
% 49.19/31.72 tff(13773,plain,
% 49.19/31.72 (v160(constB33) | (~v162(constB34))),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13772, 13769, 5506])).
% 49.19/31.72 tff(13774,plain,
% 49.19/31.72 (~v162(constB34)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13773, 13759])).
% 49.19/31.72 tff(13775,plain,
% 49.19/31.72 (^[VarCurr: state_type] : refl((v162(VarCurr) | (~v163(VarCurr))) <=> (v162(VarCurr) | (~v163(VarCurr))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13776,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr))) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13775])).
% 49.19/31.72 tff(13777,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr))) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13778,plain,
% 49.19/31.72 (^[VarCurr: state_type] : rewrite(((~v163(VarCurr)) | v162(VarCurr)) <=> (v162(VarCurr) | (~v163(VarCurr))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13779,plain,
% 49.19/31.72 (![VarCurr: state_type] : ((~v163(VarCurr)) | v162(VarCurr)) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13778])).
% 49.19/31.72 tff(13780,axiom,(![VarCurr: state_type] : ((~v163(VarCurr)) | v162(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_2')).
% 49.19/31.72 tff(13781,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13780, 13779])).
% 49.19/31.72 tff(13782,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13781, 13777])).
% 49.19/31.72 tff(13783,plain,(
% 49.19/31.72 ![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 49.19/31.72 inference(skolemize,[status(sab)],[13782])).
% 49.19/31.72 tff(13784,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13783, 13776])).
% 49.19/31.72 tff(13785,plain,
% 49.19/31.72 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB34) | (~v163(constB34)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB34) | (~v163(constB34)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13786,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB34) | (~v163(constB34)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13787,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB34) | (~v163(constB34))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13786, 13785])).
% 49.19/31.72 tff(13788,plain,
% 49.19/31.72 (~v163(constB34)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13787, 13784, 13774])).
% 49.19/31.72 tff(13789,plain,
% 49.19/31.72 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB34)) | (~v141(constB34)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB34)) | (~v141(constB34)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13790,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB34)) | (~v141(constB34)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13791,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB34)) | (~v141(constB34))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13790, 13789])).
% 49.19/31.72 tff(13792,plain,
% 49.19/31.72 (~v141(constB34)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13791, 13553, 5526])).
% 49.19/31.72 tff(13793,plain,
% 49.19/31.72 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB34) | (~v155(constB34)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB34) | (~v155(constB34)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13794,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB34) | (~v155(constB34)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13795,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB34) | (~v155(constB34))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13794, 13793])).
% 49.19/31.72 tff(13796,plain,
% 49.19/31.72 (~v155(constB34)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13795, 13702, 13792])).
% 49.19/31.72 tff(13797,plain,
% 49.19/31.72 (^[VarCurr: state_type] : refl((v155(VarCurr) | (~v164(VarCurr))) <=> (v155(VarCurr) | (~v164(VarCurr))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13798,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13797])).
% 49.19/31.72 tff(13799,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13800,plain,
% 49.19/31.72 (^[VarCurr: state_type] : rewrite(((~v164(VarCurr)) | v155(VarCurr)) <=> (v155(VarCurr) | (~v164(VarCurr))))),
% 49.19/31.72 inference(bind,[status(th)],[])).
% 49.19/31.72 tff(13801,plain,
% 49.19/31.72 (![VarCurr: state_type] : ((~v164(VarCurr)) | v155(VarCurr)) <=> ![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(quant_intro,[status(thm)],[13800])).
% 49.19/31.72 tff(13802,axiom,(![VarCurr: state_type] : ((~v164(VarCurr)) | v155(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_3')).
% 49.19/31.72 tff(13803,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13802, 13801])).
% 49.19/31.72 tff(13804,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13803, 13799])).
% 49.19/31.72 tff(13805,plain,(
% 49.19/31.72 ![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(skolemize,[status(sab)],[13804])).
% 49.19/31.72 tff(13806,plain,
% 49.19/31.72 (![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13805, 13798])).
% 49.19/31.72 tff(13807,plain,
% 49.19/31.72 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB34) | (~v164(constB34)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB34) | (~v164(constB34)))),
% 49.19/31.72 inference(rewrite,[status(thm)],[])).
% 49.19/31.72 tff(13808,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB34) | (~v164(constB34)))),
% 49.19/31.72 inference(quant_inst,[status(thm)],[])).
% 49.19/31.72 tff(13809,plain,
% 49.19/31.72 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB34) | (~v164(constB34))),
% 49.19/31.72 inference(modus_ponens,[status(thm)],[13808, 13807])).
% 49.19/31.72 tff(13810,plain,
% 49.19/31.72 (~v164(constB34)),
% 49.19/31.72 inference(unit_resolution,[status(thm)],[13809, 13806, 13796])).
% 49.19/31.72 tff(13811,plain,
% 49.19/31.72 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB34) | v164(constB34) | (~v160(constB34)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB34) | v164(constB34) | (~v160(constB34)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13812,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB34) | v164(constB34) | (~v160(constB34)))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13813,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB34) | v164(constB34) | (~v160(constB34))),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13812, 13811])).
% 49.19/31.73 tff(13814,plain,
% 49.19/31.73 (v163(constB34) | (~v160(constB34))),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13813, 13754, 13810])).
% 49.19/31.73 tff(13815,plain,
% 49.19/31.73 (~v160(constB34)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13814, 13788])).
% 49.19/31.73 tff(13816,plain,
% 49.19/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB34, constB35)) | v160(constB34) | (~v162(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB34, constB35)) | v160(constB34) | (~v162(constB35)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13817,plain,
% 49.19/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB34, constB35)) | v160(constB34) | (~v162(constB35)))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13818,plain,
% 49.19/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB34, constB35)) | v160(constB34) | (~v162(constB35))),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13817, 13816])).
% 49.19/31.73 tff(13819,plain,
% 49.19/31.73 (v160(constB34) | (~v162(constB35))),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13818, 13769, 5568])).
% 49.19/31.73 tff(13820,plain,
% 49.19/31.73 (~v162(constB35)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13819, 13815])).
% 49.19/31.73 tff(13821,plain,
% 49.19/31.73 ($false),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13820, 13316])).
% 49.19/31.73 tff(13822,plain,(~(constB35 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.19/31.73 tff(13823,assumption,(constB163 = sK0_VarCurr), introduced(assumption)).
% 49.19/31.73 tff(13824,plain,
% 49.19/31.73 (v172(constB163) <=> v172(sK0_VarCurr)),
% 49.19/31.73 inference(monotonicity,[status(thm)],[13823])).
% 49.19/31.73 tff(13825,plain,
% 49.19/31.73 (v172(sK0_VarCurr) <=> v172(constB163)),
% 49.19/31.73 inference(symmetry,[status(thm)],[13824])).
% 49.19/31.73 tff(13826,plain,
% 49.19/31.73 ((~v172(sK0_VarCurr)) <=> (~v172(constB163))),
% 49.19/31.73 inference(monotonicity,[status(thm)],[13825])).
% 49.19/31.73 tff(13827,plain,
% 49.19/31.73 (~v172(constB163)),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[46, 13826])).
% 49.19/31.73 tff(13828,assumption,(v26(constB137)), introduced(assumption)).
% 49.19/31.73 tff(13829,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB137))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13830,plain,
% 49.19/31.73 ($false),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13829, 55, 13828])).
% 49.19/31.73 tff(13831,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 49.19/31.73 tff(13832,assumption,(v26(constB131)), introduced(assumption)).
% 49.19/31.73 tff(13833,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB131))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13834,plain,
% 49.19/31.73 ($false),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13833, 55, 13832])).
% 49.19/31.73 tff(13835,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 49.19/31.73 tff(13836,plain,
% 49.19/31.73 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB103) | (~v172(constB103)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB103) | (~v172(constB103)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13837,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB103) | (~v172(constB103)))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13838,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB103) | (~v172(constB103))),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13837, 13836])).
% 49.19/31.73 tff(13839,plain,
% 49.19/31.73 (v109(constB103)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13838, 740, 13296])).
% 49.19/31.73 tff(13840,plain,
% 49.19/31.73 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v109(constB103)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v109(constB103)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13841,plain,
% 49.19/31.73 (((~v109(constB103)) | v108(constB103)) <=> (v108(constB103) | (~v109(constB103)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13842,plain,
% 49.19/31.73 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v109(constB103))))),
% 49.19/31.73 inference(monotonicity,[status(thm)],[13841])).
% 49.19/31.73 tff(13843,plain,
% 49.19/31.73 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v109(constB103)))),
% 49.19/31.73 inference(transitivity,[status(thm)],[13842, 13840])).
% 49.19/31.73 tff(13844,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB103)) | v108(constB103))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13845,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v109(constB103))),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13844, 13843])).
% 49.19/31.73 tff(13846,plain,
% 49.19/31.73 (v108(constB103)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13845, 320, 13839])).
% 49.19/31.73 tff(13847,plain,
% 49.19/31.73 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB103)) | v107(constB103))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB103)) | v107(constB103))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13848,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB103)) | v107(constB103))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13849,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB103)) | v107(constB103)),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13848, 13847])).
% 49.19/31.73 tff(13850,plain,
% 49.19/31.73 (v107(constB103)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13849, 334, 13846])).
% 49.19/31.73 tff(13851,assumption,(v26(constB103)), introduced(assumption)).
% 49.19/31.73 tff(13852,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB103))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13853,plain,
% 49.19/31.73 ($false),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13852, 55, 13851])).
% 49.19/31.73 tff(13854,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 49.19/31.73 tff(13855,plain,
% 49.19/31.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | v106(constB103) | (~v107(constB103)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13856,plain,
% 49.19/31.73 ((v26(constB103) | (~v107(constB103)) | v106(constB103)) <=> (v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13857,plain,
% 49.19/31.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | v106(constB103) | (~v107(constB103))))),
% 49.19/31.73 inference(monotonicity,[status(thm)],[13856])).
% 49.19/31.73 tff(13858,plain,
% 49.19/31.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 49.19/31.73 inference(transitivity,[status(thm)],[13857, 13855])).
% 49.19/31.73 tff(13859,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13860,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103))),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13859, 13858])).
% 49.19/31.73 tff(13861,plain,
% 49.19/31.73 (v106(constB103) | (~v107(constB103))),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13860, 348, 13854])).
% 49.19/31.73 tff(13862,plain,
% 49.19/31.73 (v106(constB103)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13861, 13850])).
% 49.19/31.73 tff(13863,plain,
% 49.19/31.73 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB103) | (~v106(constB103)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB103) | (~v106(constB103)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13864,plain,
% 49.19/31.73 (((~v106(constB103)) | v102(constB103)) <=> (v102(constB103) | (~v106(constB103)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13865,plain,
% 49.19/31.73 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB103)) | v102(constB103))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB103) | (~v106(constB103))))),
% 49.19/31.73 inference(monotonicity,[status(thm)],[13864])).
% 49.19/31.73 tff(13866,plain,
% 49.19/31.73 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB103)) | v102(constB103))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB103) | (~v106(constB103)))),
% 49.19/31.73 inference(transitivity,[status(thm)],[13865, 13863])).
% 49.19/31.73 tff(13867,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB103)) | v102(constB103))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13868,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB103) | (~v106(constB103))),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13867, 13866])).
% 49.19/31.73 tff(13869,plain,
% 49.19/31.73 (v102(constB103)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13868, 504, 13862])).
% 49.19/31.73 tff(13870,plain,
% 49.19/31.73 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13871,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 49.19/31.73 tff(13872,plain,
% 49.19/31.73 (nextState(constB103, constB104)),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13871, 13870])).
% 49.19/31.73 tff(13873,plain,
% 49.19/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13874,plain,
% 49.19/31.73 (((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104)) <=> ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13875,plain,
% 49.19/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103))))),
% 49.19/31.73 inference(monotonicity,[status(thm)],[13874])).
% 49.19/31.73 tff(13876,plain,
% 49.19/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 49.19/31.73 inference(transitivity,[status(thm)],[13875, 13873])).
% 49.19/31.73 tff(13877,plain,
% 49.19/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13878,plain,
% 49.19/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103))),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13877, 13876])).
% 49.19/31.73 tff(13879,plain,
% 49.19/31.73 (v104(constB104) | (~v102(constB103))),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13878, 489, 13872])).
% 49.19/31.73 tff(13880,plain,
% 49.19/31.73 (v104(constB104)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13879, 13869])).
% 49.19/31.73 tff(13881,plain,
% 49.19/31.73 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13882,plain,
% 49.19/31.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13883,plain,
% 49.19/31.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104))),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13882, 13881])).
% 49.19/31.73 tff(13884,plain,
% 49.19/31.73 (~v98(constB104)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13883, 423, 13872, 13200])).
% 49.19/31.73 tff(13885,plain,
% 49.19/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13886,plain,
% 49.19/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13887,plain,
% 49.19/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB103, constB104)) | v96(constB104) | v98(constB104)),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13886, 13885])).
% 49.19/31.73 tff(13888,plain,
% 49.19/31.73 (v96(constB104) | v98(constB104)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13887, 437, 13872])).
% 49.19/31.73 tff(13889,plain,
% 49.19/31.73 (v96(constB104)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13888, 13884])).
% 49.19/31.73 tff(13890,plain,
% 49.19/31.73 (v1(constB104) <=> v1(constB104)),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13891,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 49.19/31.73 tff(13892,plain,
% 49.19/31.73 (v1(constB104)),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13891, 13890])).
% 49.19/31.73 tff(13893,plain,
% 49.19/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13894,plain,
% 49.19/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13895,plain,
% 49.19/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104))),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13894, 13893])).
% 49.19/31.73 tff(13896,plain,
% 49.19/31.73 (v95(constB104) | (~v96(constB104))),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13895, 455, 13872, 13892])).
% 49.19/31.73 tff(13897,plain,
% 49.19/31.73 (v95(constB104)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13896, 13889])).
% 49.19/31.73 tff(13898,plain,
% 49.19/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13899,plain,
% 49.19/31.73 (((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104)) <=> ((~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13900,plain,
% 49.19/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104))))),
% 49.19/31.73 inference(monotonicity,[status(thm)],[13899])).
% 49.19/31.73 tff(13901,plain,
% 49.19/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))),
% 49.19/31.73 inference(transitivity,[status(thm)],[13900, 13898])).
% 49.19/31.73 tff(13902,plain,
% 49.19/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13903,plain,
% 49.19/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104))),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13902, 13901])).
% 49.19/31.73 tff(13904,plain,
% 49.19/31.73 (v94(constB104) | (~v95(constB104)) | (~v104(constB104))),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13903, 470, 13872])).
% 49.19/31.73 tff(13905,plain,
% 49.19/31.73 (v94(constB104) | (~v104(constB104))),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13904, 13897])).
% 49.19/31.73 tff(13906,plain,
% 49.19/31.73 (v94(constB104)),
% 49.19/31.73 inference(unit_resolution,[status(thm)],[13905, 13880])).
% 49.19/31.73 tff(13907,plain,
% 49.19/31.73 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB103)) | v124(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB103)) | v124(constB103, bitIndex2))),
% 49.19/31.73 inference(rewrite,[status(thm)],[])).
% 49.19/31.73 tff(13908,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB103)) | v124(constB103, bitIndex2))),
% 49.19/31.73 inference(quant_inst,[status(thm)],[])).
% 49.19/31.73 tff(13909,plain,
% 49.19/31.73 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB103)) | v124(constB103, bitIndex2)),
% 49.19/31.73 inference(modus_ponens,[status(thm)],[13908, 13907])).
% 49.29/31.74 tff(13910,plain,
% 49.29/31.74 (v124(constB103, bitIndex2)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13909, 691, 13296])).
% 49.29/31.74 tff(13911,plain,
% 49.29/31.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13912,plain,
% 49.29/31.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2))),
% 49.29/31.74 inference(quant_inst,[status(thm)],[])).
% 49.29/31.74 tff(13913,plain,
% 49.29/31.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2)),
% 49.29/31.74 inference(modus_ponens,[status(thm)],[13912, 13911])).
% 49.29/31.74 tff(13914,plain,
% 49.29/31.74 ((~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13913, 374, 13854])).
% 49.29/31.74 tff(13915,plain,
% 49.29/31.74 (v121(constB103, bitIndex2)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13914, 13910])).
% 49.29/31.74 tff(13916,plain,
% 49.29/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13917,plain,
% 49.29/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2))),
% 49.29/31.74 inference(quant_inst,[status(thm)],[])).
% 49.29/31.74 tff(13918,plain,
% 49.29/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2)),
% 49.29/31.74 inference(modus_ponens,[status(thm)],[13917, 13916])).
% 49.29/31.74 tff(13919,plain,
% 49.29/31.74 ((~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13918, 389, 13872])).
% 49.29/31.74 tff(13920,plain,
% 49.29/31.74 (v123(constB104, bitIndex2)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13919, 13915])).
% 49.29/31.74 tff(13921,plain,
% 49.29/31.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13922,plain,
% 49.29/31.74 ((v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2))) <=> (v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13923,plain,
% 49.29/31.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104))))),
% 49.29/31.74 inference(monotonicity,[status(thm)],[13922])).
% 49.29/31.74 tff(13924,plain,
% 49.29/31.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))),
% 49.29/31.74 inference(transitivity,[status(thm)],[13923, 13921])).
% 49.29/31.74 tff(13925,plain,
% 49.29/31.74 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2)))),
% 49.29/31.74 inference(quant_inst,[status(thm)],[])).
% 49.29/31.74 tff(13926,plain,
% 49.29/31.74 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104))),
% 49.29/31.74 inference(modus_ponens,[status(thm)],[13925, 13924])).
% 49.29/31.74 tff(13927,plain,
% 49.29/31.74 (v84(constB104, bitIndex2) | (~v94(constB104))),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13926, 405, 13920])).
% 49.29/31.74 tff(13928,plain,
% 49.29/31.74 (v84(constB104, bitIndex2)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13927, 13906])).
% 49.29/31.74 tff(13929,plain,
% 49.29/31.74 ((~v1(constB105)) <=> (~v1(constB105))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13930,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 49.29/31.74 tff(13931,plain,
% 49.29/31.74 (~v1(constB105)),
% 49.29/31.74 inference(modus_ponens,[status(thm)],[13930, 13929])).
% 49.29/31.74 tff(13932,plain,
% 49.29/31.74 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13933,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 49.29/31.74 tff(13934,plain,
% 49.29/31.74 (nextState(constB104, constB105)),
% 49.29/31.74 inference(modus_ponens,[status(thm)],[13933, 13932])).
% 49.29/31.74 tff(13935,plain,
% 49.29/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13936,plain,
% 49.29/31.74 (((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13937,plain,
% 49.29/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105))))),
% 49.29/31.74 inference(monotonicity,[status(thm)],[13936])).
% 49.29/31.74 tff(13938,plain,
% 49.29/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 49.29/31.74 inference(transitivity,[status(thm)],[13937, 13935])).
% 49.29/31.74 tff(13939,plain,
% 49.29/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))),
% 49.29/31.74 inference(quant_inst,[status(thm)],[])).
% 49.29/31.74 tff(13940,plain,
% 49.29/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105))),
% 49.29/31.74 inference(modus_ponens,[status(thm)],[13939, 13938])).
% 49.29/31.74 tff(13941,plain,
% 49.29/31.74 (~v95(constB105)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13940, 110, 13934, 13931])).
% 49.29/31.74 tff(13942,plain,
% 49.29/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13943,plain,
% 49.29/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))),
% 49.29/31.74 inference(quant_inst,[status(thm)],[])).
% 49.29/31.74 tff(13944,plain,
% 49.29/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105))),
% 49.29/31.74 inference(modus_ponens,[status(thm)],[13943, 13942])).
% 49.29/31.74 tff(13945,plain,
% 49.29/31.74 (v95(constB105) | (~v94(constB105))),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13944, 127, 13934])).
% 49.29/31.74 tff(13946,plain,
% 49.29/31.74 (~v94(constB105)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13945, 13941])).
% 49.29/31.74 tff(13947,plain,
% 49.29/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13948,plain,
% 49.29/31.74 (((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2)) <=> ((~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13949,plain,
% 49.29/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2)))),
% 49.29/31.74 inference(monotonicity,[status(thm)],[13948])).
% 49.29/31.74 tff(13950,plain,
% 49.29/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))),
% 49.29/31.74 inference(transitivity,[status(thm)],[13949, 13947])).
% 49.29/31.74 tff(13951,plain,
% 49.29/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2))),
% 49.29/31.74 inference(quant_inst,[status(thm)],[])).
% 49.29/31.74 tff(13952,plain,
% 49.29/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2)),
% 49.29/31.74 inference(modus_ponens,[status(thm)],[13951, 13950])).
% 49.29/31.74 tff(13953,plain,
% 49.29/31.74 ((~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13952, 576, 13934])).
% 49.29/31.74 tff(13954,plain,
% 49.29/31.74 ((~v84(constB104, bitIndex2)) | v84(constB105, bitIndex2)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13953, 13946])).
% 49.29/31.74 tff(13955,plain,
% 49.29/31.74 (v84(constB105, bitIndex2)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13954, 13928])).
% 49.29/31.74 tff(13956,plain,
% 49.29/31.74 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB103)) | v124(constB103, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB103)) | v124(constB103, bitIndex1))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13957,plain,
% 49.29/31.74 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB103)) | v124(constB103, bitIndex1))),
% 49.29/31.74 inference(quant_inst,[status(thm)],[])).
% 49.29/31.74 tff(13958,plain,
% 49.29/31.74 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB103)) | v124(constB103, bitIndex1)),
% 49.29/31.74 inference(modus_ponens,[status(thm)],[13957, 13956])).
% 49.29/31.74 tff(13959,plain,
% 49.29/31.74 (v124(constB103, bitIndex1)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13958, 843, 13296])).
% 49.29/31.74 tff(13960,plain,
% 49.29/31.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB103) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB103) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13961,plain,
% 49.29/31.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB103) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1))),
% 49.29/31.74 inference(quant_inst,[status(thm)],[])).
% 49.29/31.74 tff(13962,plain,
% 49.29/31.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB103) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1)),
% 49.29/31.74 inference(modus_ponens,[status(thm)],[13961, 13960])).
% 49.29/31.74 tff(13963,plain,
% 49.29/31.74 ((~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13962, 857, 13854])).
% 49.29/31.74 tff(13964,plain,
% 49.29/31.74 (v121(constB103, bitIndex1)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13963, 13959])).
% 49.29/31.74 tff(13965,plain,
% 49.29/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v121(constB103, bitIndex1)) | v123(constB104, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v121(constB103, bitIndex1)) | v123(constB104, bitIndex1))),
% 49.29/31.74 inference(rewrite,[status(thm)],[])).
% 49.29/31.74 tff(13966,plain,
% 49.29/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v121(constB103, bitIndex1)) | v123(constB104, bitIndex1))),
% 49.29/31.74 inference(quant_inst,[status(thm)],[])).
% 49.29/31.74 tff(13967,plain,
% 49.29/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v121(constB103, bitIndex1)) | v123(constB104, bitIndex1)),
% 49.29/31.74 inference(modus_ponens,[status(thm)],[13966, 13965])).
% 49.29/31.74 tff(13968,plain,
% 49.29/31.74 ((~v121(constB103, bitIndex1)) | v123(constB104, bitIndex1)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13967, 872, 13872])).
% 49.29/31.74 tff(13969,plain,
% 49.29/31.74 (v123(constB104, bitIndex1)),
% 49.29/31.74 inference(unit_resolution,[status(thm)],[13968, 13964])).
% 49.29/31.74 tff(13970,plain,
% 49.29/31.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)) | (~v94(constB104)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)) | (~v94(constB104)))),
% 49.29/31.75 inference(rewrite,[status(thm)],[])).
% 49.29/31.75 tff(13971,plain,
% 49.29/31.75 ((v84(constB104, bitIndex1) | (~v94(constB104)) | (~v123(constB104, bitIndex1))) <=> (v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)) | (~v94(constB104)))),
% 49.29/31.75 inference(rewrite,[status(thm)],[])).
% 49.29/31.75 tff(13972,plain,
% 49.29/31.75 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~v94(constB104)) | (~v123(constB104, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)) | (~v94(constB104))))),
% 49.29/31.75 inference(monotonicity,[status(thm)],[13971])).
% 49.29/31.75 tff(13973,plain,
% 49.29/31.75 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~v94(constB104)) | (~v123(constB104, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)) | (~v94(constB104)))),
% 49.29/31.75 inference(transitivity,[status(thm)],[13972, 13970])).
% 49.29/31.75 tff(13974,plain,
% 49.29/31.75 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~v94(constB104)) | (~v123(constB104, bitIndex1)))),
% 49.29/31.75 inference(quant_inst,[status(thm)],[])).
% 49.29/31.75 tff(13975,plain,
% 49.29/31.75 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)) | (~v94(constB104))),
% 49.29/31.75 inference(modus_ponens,[status(thm)],[13974, 13973])).
% 49.29/31.75 tff(13976,plain,
% 49.29/31.75 (v84(constB104, bitIndex1) | (~v94(constB104))),
% 49.29/31.75 inference(unit_resolution,[status(thm)],[13975, 887, 13969])).
% 49.29/31.75 tff(13977,plain,
% 49.29/31.75 (v84(constB104, bitIndex1)),
% 49.29/31.75 inference(unit_resolution,[status(thm)],[13976, 13906])).
% 49.29/31.75 tff(13978,plain,
% 49.29/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex1))),
% 49.29/31.75 inference(rewrite,[status(thm)],[])).
% 49.29/31.75 tff(13979,plain,
% 49.29/31.75 (((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex1)) | v94(constB105) | v84(constB105, bitIndex1)) <=> ((~v84(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex1))),
% 49.29/31.75 inference(rewrite,[status(thm)],[])).
% 49.29/31.75 tff(13980,plain,
% 49.29/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex1)) | v94(constB105) | v84(constB105, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex1)))),
% 49.29/31.75 inference(monotonicity,[status(thm)],[13979])).
% 49.29/31.75 tff(13981,plain,
% 49.29/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex1)) | v94(constB105) | v84(constB105, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex1))),
% 49.29/31.75 inference(transitivity,[status(thm)],[13980, 13978])).
% 49.29/31.75 tff(13982,plain,
% 49.29/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex1)) | v94(constB105) | v84(constB105, bitIndex1))),
% 49.29/31.75 inference(quant_inst,[status(thm)],[])).
% 49.29/31.75 tff(13983,plain,
% 49.29/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex1)),
% 49.29/31.75 inference(modus_ponens,[status(thm)],[13982, 13981])).
% 49.29/31.75 tff(13984,plain,
% 49.29/31.75 ((~v84(constB104, bitIndex1)) | v94(constB105) | v84(constB105, bitIndex1)),
% 49.29/31.75 inference(unit_resolution,[status(thm)],[13983, 905, 13934])).
% 49.29/31.75 tff(13985,plain,
% 49.29/31.75 ((~v84(constB104, bitIndex1)) | v84(constB105, bitIndex1)),
% 49.29/31.75 inference(unit_resolution,[status(thm)],[13984, 13946])).
% 49.29/31.75 tff(13986,plain,
% 49.29/31.75 (v84(constB105, bitIndex1)),
% 49.29/31.75 inference(unit_resolution,[status(thm)],[13985, 13977])).
% 49.29/31.75 tff(13987,plain,
% 49.29/31.75 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB103)) | (~v124(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB103)) | (~v124(constB103, bitIndex0)))),
% 49.29/31.75 inference(rewrite,[status(thm)],[])).
% 49.29/31.75 tff(13988,plain,
% 49.29/31.75 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB103)) | (~v124(constB103, bitIndex0)))),
% 49.29/31.75 inference(quant_inst,[status(thm)],[])).
% 49.29/31.75 tff(13989,plain,
% 49.29/31.75 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB103)) | (~v124(constB103, bitIndex0))),
% 49.29/31.75 inference(modus_ponens,[status(thm)],[13988, 13987])).
% 49.29/31.75 tff(13990,plain,
% 49.29/31.75 (~v124(constB103, bitIndex0)),
% 49.29/31.75 inference(unit_resolution,[status(thm)],[13989, 921, 13296])).
% 49.29/31.75 tff(13991,plain,
% 49.29/31.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))),
% 49.29/31.75 inference(rewrite,[status(thm)],[])).
% 49.29/31.75 tff(13992,plain,
% 49.29/31.75 ((v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0))) <=> ((~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))),
% 49.29/31.75 inference(rewrite,[status(thm)],[])).
% 49.29/31.75 tff(13993,plain,
% 49.29/31.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0)))),
% 49.29/31.75 inference(monotonicity,[status(thm)],[13992])).
% 49.29/31.75 tff(13994,plain,
% 49.29/31.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))),
% 49.29/31.75 inference(transitivity,[status(thm)],[13993, 13991])).
% 49.29/31.75 tff(13995,plain,
% 49.29/31.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))),
% 49.29/31.75 inference(quant_inst,[status(thm)],[])).
% 49.29/31.75 tff(13996,plain,
% 49.29/31.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0)),
% 49.29/31.75 inference(modus_ponens,[status(thm)],[13995, 13994])).
% 49.29/31.75 tff(13997,plain,
% 49.29/31.75 ((~v121(constB103, bitIndex0)) | v124(constB103, bitIndex0)),
% 49.29/31.75 inference(unit_resolution,[status(thm)],[13996, 607, 13854])).
% 49.29/31.75 tff(13998,plain,
% 49.29/31.75 (~v121(constB103, bitIndex0)),
% 49.29/31.75 inference(unit_resolution,[status(thm)],[13997, 13990])).
% 49.29/31.75 tff(13999,plain,
% 49.29/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0)))),
% 49.29/31.75 inference(rewrite,[status(thm)],[])).
% 49.29/31.75 tff(14000,plain,
% 49.29/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0)))),
% 49.29/31.75 inference(quant_inst,[status(thm)],[])).
% 49.29/31.75 tff(14001,plain,
% 49.29/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0))),
% 49.29/31.75 inference(modus_ponens,[status(thm)],[14000, 13999])).
% 49.29/31.75 tff(14002,plain,
% 49.29/31.75 (v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0))),
% 49.29/31.75 inference(unit_resolution,[status(thm)],[14001, 637, 13872])).
% 49.29/31.75 tff(14003,plain,
% 49.29/31.75 (~v123(constB104, bitIndex0)),
% 49.29/31.75 inference(unit_resolution,[status(thm)],[14002, 13998])).
% 49.29/31.75 tff(14004,plain,
% 49.29/31.75 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))),
% 49.29/31.75 inference(rewrite,[status(thm)],[])).
% 49.29/31.75 tff(14005,plain,
% 49.29/31.75 (((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0)) <=> ((~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))),
% 49.29/31.75 inference(rewrite,[status(thm)],[])).
% 49.29/31.75 tff(14006,plain,
% 49.29/31.75 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104))))),
% 49.29/31.75 inference(monotonicity,[status(thm)],[14005])).
% 49.29/31.75 tff(14007,plain,
% 49.29/31.75 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))),
% 49.29/31.75 inference(transitivity,[status(thm)],[14006, 14004])).
% 49.29/31.75 tff(14008,plain,
% 49.29/31.75 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0))),
% 49.29/31.75 inference(quant_inst,[status(thm)],[])).
% 49.29/31.75 tff(14009,plain,
% 49.29/31.75 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104))),
% 49.29/31.75 inference(modus_ponens,[status(thm)],[14008, 14007])).
% 49.29/31.75 tff(14010,plain,
% 49.29/31.75 ((~v84(constB104, bitIndex0)) | (~v94(constB104))),
% 49.29/31.75 inference(unit_resolution,[status(thm)],[14009, 652, 14003])).
% 49.29/31.75 tff(14011,plain,
% 49.29/31.75 (~v84(constB104, bitIndex0)),
% 49.29/31.75 inference(unit_resolution,[status(thm)],[14010, 13906])).
% 49.29/31.75 tff(14012,plain,
% 49.29/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14013,plain,
% 49.29/31.76 (((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0))) <=> (v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14014,plain,
% 49.29/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0))))),
% 49.29/31.76 inference(monotonicity,[status(thm)],[14013])).
% 49.29/31.76 tff(14015,plain,
% 49.29/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 49.29/31.76 inference(transitivity,[status(thm)],[14014, 14012])).
% 49.29/31.76 tff(14016,plain,
% 49.29/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14017,plain,
% 49.29/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0))),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14016, 14015])).
% 49.29/31.76 tff(14018,plain,
% 49.29/31.76 (v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0))),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14017, 184, 13934])).
% 49.29/31.76 tff(14019,plain,
% 49.29/31.76 (v84(constB104, bitIndex0) | (~v84(constB105, bitIndex0))),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14018, 13946])).
% 49.29/31.76 tff(14020,plain,
% 49.29/31.76 (~v84(constB105, bitIndex0)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14019, 14011])).
% 49.29/31.76 tff(14021,plain,
% 49.29/31.76 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)) | v119(constB105))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)) | v119(constB105))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14022,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)) | v119(constB105))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14023,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)) | v119(constB105)),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14022, 14021])).
% 49.29/31.76 tff(14024,plain,
% 49.29/31.76 (v119(constB105)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14023, 965, 14020, 13986, 13955])).
% 49.29/31.76 tff(14025,plain,
% 49.29/31.76 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB105)) | v107(constB105))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB105)) | v107(constB105))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14026,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB105)) | v107(constB105))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14027,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB105)) | v107(constB105)),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14026, 14025])).
% 49.29/31.76 tff(14028,plain,
% 49.29/31.76 (v107(constB105)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14027, 976, 14024])).
% 49.29/31.76 tff(14029,assumption,(v26(constB105)), introduced(assumption)).
% 49.29/31.76 tff(14030,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB105))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14031,plain,
% 49.29/31.76 ($false),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14030, 55, 14029])).
% 49.29/31.76 tff(14032,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 49.29/31.76 tff(14033,plain,
% 49.29/31.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | v106(constB105) | (~v107(constB105)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14034,plain,
% 49.29/31.76 ((v26(constB105) | (~v107(constB105)) | v106(constB105)) <=> (v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14035,plain,
% 49.29/31.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | v106(constB105) | (~v107(constB105))))),
% 49.29/31.76 inference(monotonicity,[status(thm)],[14034])).
% 49.29/31.76 tff(14036,plain,
% 49.29/31.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 49.29/31.76 inference(transitivity,[status(thm)],[14035, 14033])).
% 49.29/31.76 tff(14037,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14038,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105))),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14037, 14036])).
% 49.29/31.76 tff(14039,plain,
% 49.29/31.76 (v106(constB105) | (~v107(constB105))),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14038, 348, 14032])).
% 49.29/31.76 tff(14040,plain,
% 49.29/31.76 (v106(constB105)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14039, 14028])).
% 49.29/31.76 tff(14041,plain,
% 49.29/31.76 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB105) | (~v106(constB105)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB105) | (~v106(constB105)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14042,plain,
% 49.29/31.76 (((~v106(constB105)) | v102(constB105)) <=> (v102(constB105) | (~v106(constB105)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14043,plain,
% 49.29/31.76 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB105)) | v102(constB105))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB105) | (~v106(constB105))))),
% 49.29/31.76 inference(monotonicity,[status(thm)],[14042])).
% 49.29/31.76 tff(14044,plain,
% 49.29/31.76 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB105)) | v102(constB105))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB105) | (~v106(constB105)))),
% 49.29/31.76 inference(transitivity,[status(thm)],[14043, 14041])).
% 49.29/31.76 tff(14045,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB105)) | v102(constB105))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14046,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB105) | (~v106(constB105))),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14045, 14044])).
% 49.29/31.76 tff(14047,plain,
% 49.29/31.76 (v102(constB105)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14046, 504, 14040])).
% 49.29/31.76 tff(14048,plain,
% 49.29/31.76 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14049,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 49.29/31.76 tff(14050,plain,
% 49.29/31.76 (nextState(constB105, constB106)),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14049, 14048])).
% 49.29/31.76 tff(14051,plain,
% 49.29/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14052,plain,
% 49.29/31.76 (((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106)) <=> ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14053,plain,
% 49.29/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105))))),
% 49.29/31.76 inference(monotonicity,[status(thm)],[14052])).
% 49.29/31.76 tff(14054,plain,
% 49.29/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 49.29/31.76 inference(transitivity,[status(thm)],[14053, 14051])).
% 49.29/31.76 tff(14055,plain,
% 49.29/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14056,plain,
% 49.29/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105))),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14055, 14054])).
% 49.29/31.76 tff(14057,plain,
% 49.29/31.76 (v104(constB106) | (~v102(constB105))),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14056, 489, 14050])).
% 49.29/31.76 tff(14058,plain,
% 49.29/31.76 (v104(constB106)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14057, 14047])).
% 49.29/31.76 tff(14059,plain,
% 49.29/31.76 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14060,plain,
% 49.29/31.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14061,plain,
% 49.29/31.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106))),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14060, 14059])).
% 49.29/31.76 tff(14062,plain,
% 49.29/31.76 (~v98(constB106)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14061, 423, 14050, 13931])).
% 49.29/31.76 tff(14063,plain,
% 49.29/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14064,plain,
% 49.29/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14065,plain,
% 49.29/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB105, constB106)) | v96(constB106) | v98(constB106)),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14064, 14063])).
% 49.29/31.76 tff(14066,plain,
% 49.29/31.76 (v96(constB106) | v98(constB106)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14065, 437, 14050])).
% 49.29/31.76 tff(14067,plain,
% 49.29/31.76 (v96(constB106)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14066, 14062])).
% 49.29/31.76 tff(14068,plain,
% 49.29/31.76 (v1(constB106) <=> v1(constB106)),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14069,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 49.29/31.76 tff(14070,plain,
% 49.29/31.76 (v1(constB106)),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14069, 14068])).
% 49.29/31.76 tff(14071,plain,
% 49.29/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14072,plain,
% 49.29/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14073,plain,
% 49.29/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106))),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14072, 14071])).
% 49.29/31.76 tff(14074,plain,
% 49.29/31.76 (v95(constB106) | (~v96(constB106))),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14073, 455, 14050, 14070])).
% 49.29/31.76 tff(14075,plain,
% 49.29/31.76 (v95(constB106)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14074, 14067])).
% 49.29/31.76 tff(14076,plain,
% 49.29/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14077,plain,
% 49.29/31.76 (((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106)) <=> ((~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14078,plain,
% 49.29/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106))))),
% 49.29/31.76 inference(monotonicity,[status(thm)],[14077])).
% 49.29/31.76 tff(14079,plain,
% 49.29/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))),
% 49.29/31.76 inference(transitivity,[status(thm)],[14078, 14076])).
% 49.29/31.76 tff(14080,plain,
% 49.29/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14081,plain,
% 49.29/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106))),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14080, 14079])).
% 49.29/31.76 tff(14082,plain,
% 49.29/31.76 (v94(constB106) | (~v95(constB106)) | (~v104(constB106))),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14081, 470, 14050])).
% 49.29/31.76 tff(14083,plain,
% 49.29/31.76 (v94(constB106) | (~v104(constB106))),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14082, 14075])).
% 49.29/31.76 tff(14084,plain,
% 49.29/31.76 (v94(constB106)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14083, 14058])).
% 49.29/31.76 tff(14085,plain,
% 49.29/31.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB105)) | (~v84(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB105)) | (~v84(constB105, bitIndex2)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14086,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB105)) | (~v84(constB105, bitIndex2)))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14087,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB105)) | (~v84(constB105, bitIndex2))),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14086, 14085])).
% 49.29/31.76 tff(14088,plain,
% 49.29/31.76 (~v115(constB105)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14087, 1036, 13955])).
% 49.29/31.76 tff(14089,plain,
% 49.29/31.76 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB105)) | (~v84(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB105)) | (~v84(constB105, bitIndex2)))),
% 49.29/31.76 inference(rewrite,[status(thm)],[])).
% 49.29/31.76 tff(14090,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB105)) | (~v84(constB105, bitIndex2)))),
% 49.29/31.76 inference(quant_inst,[status(thm)],[])).
% 49.29/31.76 tff(14091,plain,
% 49.29/31.76 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB105)) | (~v84(constB105, bitIndex2))),
% 49.29/31.76 inference(modus_ponens,[status(thm)],[14090, 14089])).
% 49.29/31.76 tff(14092,plain,
% 49.29/31.76 (~v116(constB105)),
% 49.29/31.76 inference(unit_resolution,[status(thm)],[14091, 1047, 13955])).
% 49.29/31.76 tff(14093,plain,
% 49.29/31.76 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB105)) | (~v84(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB105)) | (~v84(constB105, bitIndex1)))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14094,plain,
% 49.29/31.77 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB105)) | (~v84(constB105, bitIndex1)))),
% 49.29/31.77 inference(quant_inst,[status(thm)],[])).
% 49.29/31.77 tff(14095,plain,
% 49.29/31.77 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB105)) | (~v84(constB105, bitIndex1))),
% 49.29/31.77 inference(modus_ponens,[status(thm)],[14094, 14093])).
% 49.29/31.77 tff(14096,plain,
% 49.29/31.77 (~v113(constB105)),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14095, 1058, 13986])).
% 49.29/31.77 tff(14097,plain,
% 49.29/31.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB105)) | (~v84(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB105)) | (~v84(constB105, bitIndex1)))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14098,plain,
% 49.29/31.77 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB105)) | (~v84(constB105, bitIndex1)))),
% 49.29/31.77 inference(quant_inst,[status(thm)],[])).
% 49.29/31.77 tff(14099,plain,
% 49.29/31.77 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB105)) | (~v84(constB105, bitIndex1))),
% 49.29/31.77 inference(modus_ponens,[status(thm)],[14098, 14097])).
% 49.29/31.77 tff(14100,plain,
% 49.29/31.77 (~v118(constB105)),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14099, 1069, 13986])).
% 49.29/31.77 tff(14101,plain,
% 49.29/31.77 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB105)) | (~v84(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB105)) | (~v84(constB105, bitIndex1)))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14102,plain,
% 49.29/31.77 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB105)) | (~v84(constB105, bitIndex1)))),
% 49.29/31.77 inference(quant_inst,[status(thm)],[])).
% 49.29/31.77 tff(14103,plain,
% 49.29/31.77 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB105)) | (~v84(constB105, bitIndex1))),
% 49.29/31.77 inference(modus_ponens,[status(thm)],[14102, 14101])).
% 49.29/31.77 tff(14104,plain,
% 49.29/31.77 (~v145(constB105)),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14103, 1091, 13986])).
% 49.29/31.77 tff(14105,plain,
% 49.29/31.77 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB105)) | (~v84(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB105)) | (~v84(constB105, bitIndex1)))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14106,plain,
% 49.29/31.77 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB105)) | (~v84(constB105, bitIndex1)))),
% 49.29/31.77 inference(quant_inst,[status(thm)],[])).
% 49.29/31.77 tff(14107,plain,
% 49.29/31.77 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB105)) | (~v84(constB105, bitIndex1))),
% 49.29/31.77 inference(modus_ponens,[status(thm)],[14106, 14105])).
% 49.29/31.77 tff(14108,plain,
% 49.29/31.77 (~v172(constB105)),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14107, 1080, 13986])).
% 49.29/31.77 tff(14109,plain,
% 49.29/31.77 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2)))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14110,plain,
% 49.29/31.77 ((v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex2))) <=> (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2)))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14111,plain,
% 49.29/31.77 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2))))),
% 49.29/31.77 inference(monotonicity,[status(thm)],[14110])).
% 49.29/31.77 tff(14112,plain,
% 49.29/31.77 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2)))),
% 49.29/31.77 inference(transitivity,[status(thm)],[14111, 14109])).
% 49.29/31.77 tff(14113,plain,
% 49.29/31.77 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex2)))),
% 49.29/31.77 inference(quant_inst,[status(thm)],[])).
% 49.29/31.77 tff(14114,plain,
% 49.29/31.77 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2))),
% 49.29/31.77 inference(modus_ponens,[status(thm)],[14113, 14112])).
% 49.29/31.77 tff(14115,plain,
% 49.29/31.77 (~v124(constB105, bitIndex2)),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14114, 1170, 14108, 14104, 14100, 14096, 14092, 14088])).
% 49.29/31.77 tff(14116,plain,
% 49.29/31.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB105, bitIndex2)) | v26(constB105) | v124(constB105, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB105, bitIndex2)) | v26(constB105) | v124(constB105, bitIndex2))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14117,plain,
% 49.29/31.77 ((v26(constB105) | v124(constB105, bitIndex2) | (~v121(constB105, bitIndex2))) <=> ((~v121(constB105, bitIndex2)) | v26(constB105) | v124(constB105, bitIndex2))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14118,plain,
% 49.29/31.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB105) | v124(constB105, bitIndex2) | (~v121(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB105, bitIndex2)) | v26(constB105) | v124(constB105, bitIndex2)))),
% 49.29/31.77 inference(monotonicity,[status(thm)],[14117])).
% 49.29/31.77 tff(14119,plain,
% 49.29/31.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB105) | v124(constB105, bitIndex2) | (~v121(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB105, bitIndex2)) | v26(constB105) | v124(constB105, bitIndex2))),
% 49.29/31.77 inference(transitivity,[status(thm)],[14118, 14116])).
% 49.29/31.77 tff(14120,plain,
% 49.29/31.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB105) | v124(constB105, bitIndex2) | (~v121(constB105, bitIndex2)))),
% 49.29/31.77 inference(quant_inst,[status(thm)],[])).
% 49.29/31.77 tff(14121,plain,
% 49.29/31.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB105, bitIndex2)) | v26(constB105) | v124(constB105, bitIndex2)),
% 49.29/31.77 inference(modus_ponens,[status(thm)],[14120, 14119])).
% 49.29/31.77 tff(14122,plain,
% 49.29/31.77 ((~v121(constB105, bitIndex2)) | v124(constB105, bitIndex2)),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14121, 1187, 14032])).
% 49.29/31.77 tff(14123,plain,
% 49.29/31.77 (~v121(constB105, bitIndex2)),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14122, 14115])).
% 49.29/31.77 tff(14124,plain,
% 49.29/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v121(constB105, bitIndex2) | (~v123(constB106, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v121(constB105, bitIndex2) | (~v123(constB106, bitIndex2)))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14125,plain,
% 49.29/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v121(constB105, bitIndex2) | (~v123(constB106, bitIndex2)))),
% 49.29/31.77 inference(quant_inst,[status(thm)],[])).
% 49.29/31.77 tff(14126,plain,
% 49.29/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v121(constB105, bitIndex2) | (~v123(constB106, bitIndex2))),
% 49.29/31.77 inference(modus_ponens,[status(thm)],[14125, 14124])).
% 49.29/31.77 tff(14127,plain,
% 49.29/31.77 (v121(constB105, bitIndex2) | (~v123(constB106, bitIndex2))),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14126, 1205, 14050])).
% 49.29/31.77 tff(14128,plain,
% 49.29/31.77 (~v123(constB106, bitIndex2)),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14127, 14123])).
% 49.29/31.77 tff(14129,plain,
% 49.29/31.77 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2) | (~v94(constB106)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2) | (~v94(constB106)))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14130,plain,
% 49.29/31.77 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2) | (~v94(constB106)))),
% 49.29/31.77 inference(quant_inst,[status(thm)],[])).
% 49.29/31.77 tff(14131,plain,
% 49.29/31.77 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2) | (~v94(constB106))),
% 49.29/31.77 inference(modus_ponens,[status(thm)],[14130, 14129])).
% 49.29/31.77 tff(14132,plain,
% 49.29/31.77 ((~v84(constB106, bitIndex2)) | (~v94(constB106))),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14131, 1220, 14128])).
% 49.29/31.77 tff(14133,plain,
% 49.29/31.77 (~v84(constB106, bitIndex2)),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14132, 14084])).
% 49.29/31.77 tff(14134,plain,
% 49.29/31.77 ((~v1(constB107)) <=> (~v1(constB107))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14135,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 49.29/31.77 tff(14136,plain,
% 49.29/31.77 (~v1(constB107)),
% 49.29/31.77 inference(modus_ponens,[status(thm)],[14135, 14134])).
% 49.29/31.77 tff(14137,plain,
% 49.29/31.77 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14138,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 49.29/31.77 tff(14139,plain,
% 49.29/31.77 (nextState(constB106, constB107)),
% 49.29/31.77 inference(modus_ponens,[status(thm)],[14138, 14137])).
% 49.29/31.77 tff(14140,plain,
% 49.29/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14141,plain,
% 49.29/31.77 (((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14142,plain,
% 49.29/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107))))),
% 49.29/31.77 inference(monotonicity,[status(thm)],[14141])).
% 49.29/31.77 tff(14143,plain,
% 49.29/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 49.29/31.77 inference(transitivity,[status(thm)],[14142, 14140])).
% 49.29/31.77 tff(14144,plain,
% 49.29/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))),
% 49.29/31.77 inference(quant_inst,[status(thm)],[])).
% 49.29/31.77 tff(14145,plain,
% 49.29/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107))),
% 49.29/31.77 inference(modus_ponens,[status(thm)],[14144, 14143])).
% 49.29/31.77 tff(14146,plain,
% 49.29/31.77 (~v95(constB107)),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14145, 110, 14139, 14136])).
% 49.29/31.77 tff(14147,plain,
% 49.29/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14148,plain,
% 49.29/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))),
% 49.29/31.77 inference(quant_inst,[status(thm)],[])).
% 49.29/31.77 tff(14149,plain,
% 49.29/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107))),
% 49.29/31.77 inference(modus_ponens,[status(thm)],[14148, 14147])).
% 49.29/31.77 tff(14150,plain,
% 49.29/31.77 (v95(constB107) | (~v94(constB107))),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14149, 127, 14139])).
% 49.29/31.77 tff(14151,plain,
% 49.29/31.77 (~v94(constB107)),
% 49.29/31.77 inference(unit_resolution,[status(thm)],[14150, 14146])).
% 49.29/31.77 tff(14152,plain,
% 49.29/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex2)))),
% 49.29/31.77 inference(rewrite,[status(thm)],[])).
% 49.29/31.77 tff(14153,plain,
% 49.29/31.77 (((~nextState(constB106, constB107)) | v84(constB106, bitIndex2) | v94(constB107) | (~v84(constB107, bitIndex2))) <=> (v84(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex2)))),
% 49.29/31.78 inference(rewrite,[status(thm)],[])).
% 49.29/31.78 tff(14154,plain,
% 49.29/31.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex2) | v94(constB107) | (~v84(constB107, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex2))))),
% 49.29/31.78 inference(monotonicity,[status(thm)],[14153])).
% 49.29/31.78 tff(14155,plain,
% 49.29/31.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex2) | v94(constB107) | (~v84(constB107, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex2)))),
% 49.29/31.78 inference(transitivity,[status(thm)],[14154, 14152])).
% 49.29/31.78 tff(14156,plain,
% 49.29/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex2) | v94(constB107) | (~v84(constB107, bitIndex2)))),
% 49.29/31.78 inference(quant_inst,[status(thm)],[])).
% 49.29/31.78 tff(14157,plain,
% 49.29/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex2))),
% 49.29/31.78 inference(modus_ponens,[status(thm)],[14156, 14155])).
% 49.29/31.78 tff(14158,plain,
% 49.29/31.78 (v84(constB106, bitIndex2) | v94(constB107) | (~v84(constB107, bitIndex2))),
% 49.29/31.78 inference(unit_resolution,[status(thm)],[14157, 142, 14139])).
% 49.29/31.78 tff(14159,plain,
% 49.29/31.78 (v84(constB106, bitIndex2) | (~v84(constB107, bitIndex2))),
% 49.29/31.78 inference(unit_resolution,[status(thm)],[14158, 14151])).
% 49.29/31.78 tff(14160,plain,
% 49.29/31.78 (~v84(constB107, bitIndex2)),
% 49.29/31.78 inference(unit_resolution,[status(thm)],[14159, 14133])).
% 49.29/31.78 tff(14161,plain,
% 49.29/31.78 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1)))),
% 49.29/31.78 inference(rewrite,[status(thm)],[])).
% 49.29/31.78 tff(14162,plain,
% 49.29/31.78 ((v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex1))) <=> (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1)))),
% 49.29/31.78 inference(rewrite,[status(thm)],[])).
% 49.29/31.78 tff(14163,plain,
% 49.29/31.78 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1))))),
% 49.29/31.78 inference(monotonicity,[status(thm)],[14162])).
% 49.29/31.78 tff(14164,plain,
% 49.29/31.78 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1)))),
% 49.29/31.78 inference(transitivity,[status(thm)],[14163, 14161])).
% 49.29/31.78 tff(14165,plain,
% 49.29/31.78 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex1)))),
% 49.29/31.78 inference(quant_inst,[status(thm)],[])).
% 49.29/31.78 tff(14166,plain,
% 49.29/31.78 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1))),
% 49.29/31.78 inference(modus_ponens,[status(thm)],[14165, 14164])).
% 49.29/31.78 tff(14167,plain,
% 49.29/31.78 (~v124(constB105, bitIndex1)),
% 49.29/31.78 inference(unit_resolution,[status(thm)],[14166, 1105, 14108, 14104, 14100, 14096, 14092, 14088])).
% 49.29/31.78 tff(14168,plain,
% 49.29/31.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))),
% 49.29/31.78 inference(rewrite,[status(thm)],[])).
% 49.29/31.78 tff(14169,plain,
% 49.29/31.78 ((v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1))) <=> ((~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))),
% 49.29/31.78 inference(rewrite,[status(thm)],[])).
% 49.29/31.78 tff(14170,plain,
% 49.29/31.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1)))),
% 49.29/31.78 inference(monotonicity,[status(thm)],[14169])).
% 49.29/31.78 tff(14171,plain,
% 49.29/31.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))),
% 49.29/31.78 inference(transitivity,[status(thm)],[14170, 14168])).
% 49.29/31.78 tff(14172,plain,
% 49.29/31.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))),
% 49.29/31.78 inference(quant_inst,[status(thm)],[])).
% 49.29/31.78 tff(14173,plain,
% 49.29/31.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1)),
% 49.29/31.78 inference(modus_ponens,[status(thm)],[14172, 14171])).
% 49.29/31.78 tff(14174,plain,
% 49.29/31.78 ((~v121(constB105, bitIndex1)) | v124(constB105, bitIndex1)),
% 49.29/31.78 inference(unit_resolution,[status(thm)],[14173, 233, 14032])).
% 49.29/31.78 tff(14175,plain,
% 49.29/31.78 (~v121(constB105, bitIndex1)),
% 49.29/31.78 inference(unit_resolution,[status(thm)],[14174, 14167])).
% 49.29/31.78 tff(14176,plain,
% 49.29/31.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1)))),
% 49.29/31.78 inference(rewrite,[status(thm)],[])).
% 49.29/31.78 tff(14177,plain,
% 49.29/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1)))),
% 49.29/31.78 inference(quant_inst,[status(thm)],[])).
% 49.29/31.78 tff(14178,plain,
% 49.29/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1))),
% 49.29/31.78 inference(modus_ponens,[status(thm)],[14177, 14176])).
% 49.29/31.78 tff(14179,plain,
% 49.29/31.78 (v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1))),
% 49.29/31.78 inference(unit_resolution,[status(thm)],[14178, 254, 14050])).
% 49.29/31.78 tff(14180,plain,
% 49.29/31.78 (~v123(constB106, bitIndex1)),
% 49.29/31.78 inference(unit_resolution,[status(thm)],[14179, 14175])).
% 49.29/31.78 tff(14181,plain,
% 49.29/31.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))),
% 49.29/31.78 inference(rewrite,[status(thm)],[])).
% 49.29/31.78 tff(14182,plain,
% 49.29/31.78 (((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1)) <=> ((~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))),
% 49.29/31.78 inference(rewrite,[status(thm)],[])).
% 49.29/31.78 tff(14183,plain,
% 49.29/31.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106))))),
% 49.29/31.78 inference(monotonicity,[status(thm)],[14182])).
% 49.29/31.78 tff(14184,plain,
% 49.29/31.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))),
% 49.29/31.78 inference(transitivity,[status(thm)],[14183, 14181])).
% 49.29/31.78 tff(14185,plain,
% 49.29/31.78 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1))),
% 49.29/31.78 inference(quant_inst,[status(thm)],[])).
% 49.29/31.78 tff(14186,plain,
% 49.29/31.78 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106))),
% 49.29/31.78 inference(modus_ponens,[status(thm)],[14185, 14184])).
% 49.29/31.78 tff(14187,plain,
% 49.29/31.78 ((~v84(constB106, bitIndex1)) | (~v94(constB106))),
% 49.29/31.78 inference(unit_resolution,[status(thm)],[14186, 532, 14180])).
% 49.29/31.78 tff(14188,plain,
% 49.29/31.78 (~v84(constB106, bitIndex1)),
% 49.29/31.78 inference(unit_resolution,[status(thm)],[14187, 14084])).
% 49.29/31.78 tff(14189,plain,
% 49.29/31.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 49.29/31.79 inference(rewrite,[status(thm)],[])).
% 49.29/31.79 tff(14190,plain,
% 49.29/31.79 (((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1))) <=> (v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 49.29/31.79 inference(rewrite,[status(thm)],[])).
% 49.29/31.79 tff(14191,plain,
% 49.29/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1))))),
% 49.29/31.79 inference(monotonicity,[status(thm)],[14190])).
% 49.29/31.79 tff(14192,plain,
% 49.29/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 49.29/31.79 inference(transitivity,[status(thm)],[14191, 14189])).
% 49.29/31.79 tff(14193,plain,
% 49.29/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 49.29/31.79 inference(quant_inst,[status(thm)],[])).
% 49.29/31.79 tff(14194,plain,
% 49.29/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1))),
% 49.29/31.79 inference(modus_ponens,[status(thm)],[14193, 14192])).
% 49.29/31.79 tff(14195,plain,
% 49.29/31.79 (v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1))),
% 49.29/31.79 inference(unit_resolution,[status(thm)],[14194, 163, 14139])).
% 49.29/31.79 tff(14196,plain,
% 49.29/31.79 (v84(constB106, bitIndex1) | (~v84(constB107, bitIndex1))),
% 49.29/31.79 inference(unit_resolution,[status(thm)],[14195, 14151])).
% 49.29/31.79 tff(14197,plain,
% 49.29/31.79 (~v84(constB107, bitIndex1)),
% 49.29/31.79 inference(unit_resolution,[status(thm)],[14196, 14188])).
% 49.29/31.79 tff(14198,plain,
% 49.29/31.79 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0))),
% 49.29/31.79 inference(rewrite,[status(thm)],[])).
% 49.29/31.79 tff(14199,plain,
% 49.29/31.79 ((v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | v124(constB105, bitIndex0)) <=> (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0))),
% 49.29/31.79 inference(rewrite,[status(thm)],[])).
% 49.29/31.79 tff(14200,plain,
% 49.29/31.79 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | v124(constB105, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0)))),
% 49.29/31.79 inference(monotonicity,[status(thm)],[14199])).
% 49.29/31.79 tff(14201,plain,
% 49.29/31.79 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | v124(constB105, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0))),
% 49.29/31.79 inference(transitivity,[status(thm)],[14200, 14198])).
% 49.29/31.79 tff(14202,plain,
% 49.29/31.79 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | v124(constB105, bitIndex0))),
% 49.29/31.79 inference(quant_inst,[status(thm)],[])).
% 49.29/31.79 tff(14203,plain,
% 49.29/31.79 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0)),
% 49.29/31.79 inference(modus_ponens,[status(thm)],[14202, 14201])).
% 49.29/31.79 tff(14204,plain,
% 49.29/31.79 (v124(constB105, bitIndex0)),
% 49.29/31.79 inference(unit_resolution,[status(thm)],[14203, 1374, 14108, 14104, 14100, 14096, 14092, 14088])).
% 49.29/31.79 tff(14205,plain,
% 49.29/31.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0))),
% 49.29/31.79 inference(rewrite,[status(thm)],[])).
% 49.29/31.79 tff(14206,plain,
% 49.29/31.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0))),
% 49.29/31.79 inference(quant_inst,[status(thm)],[])).
% 49.29/31.79 tff(14207,plain,
% 49.29/31.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0)),
% 49.29/31.79 inference(modus_ponens,[status(thm)],[14206, 14205])).
% 49.29/31.79 tff(14208,plain,
% 49.29/31.79 ((~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0)),
% 49.29/31.79 inference(unit_resolution,[status(thm)],[14207, 1391, 14032])).
% 49.29/31.79 tff(14209,plain,
% 49.29/31.79 (v121(constB105, bitIndex0)),
% 49.29/31.79 inference(unit_resolution,[status(thm)],[14208, 14204])).
% 49.29/31.79 tff(14210,plain,
% 49.29/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0))),
% 49.29/31.79 inference(rewrite,[status(thm)],[])).
% 49.29/31.79 tff(14211,plain,
% 49.29/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0))),
% 49.29/31.79 inference(quant_inst,[status(thm)],[])).
% 49.29/31.79 tff(14212,plain,
% 49.29/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0)),
% 49.29/31.79 inference(modus_ponens,[status(thm)],[14211, 14210])).
% 49.29/31.79 tff(14213,plain,
% 49.29/31.79 ((~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0)),
% 49.29/31.79 inference(unit_resolution,[status(thm)],[14212, 1406, 14050])).
% 49.29/31.79 tff(14214,plain,
% 49.29/31.79 (v123(constB106, bitIndex0)),
% 49.29/31.79 inference(unit_resolution,[status(thm)],[14213, 14209])).
% 49.29/31.79 tff(14215,plain,
% 49.29/31.79 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))),
% 49.29/31.79 inference(rewrite,[status(thm)],[])).
% 49.29/31.79 tff(14216,plain,
% 49.29/31.79 ((v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0))) <=> (v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))),
% 49.29/31.79 inference(rewrite,[status(thm)],[])).
% 49.29/31.79 tff(14217,plain,
% 49.29/31.79 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106))))),
% 49.29/31.79 inference(monotonicity,[status(thm)],[14216])).
% 49.29/31.79 tff(14218,plain,
% 49.29/31.79 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))),
% 49.29/31.79 inference(transitivity,[status(thm)],[14217, 14215])).
% 49.29/31.79 tff(14219,plain,
% 49.29/31.79 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0)))),
% 49.29/31.79 inference(quant_inst,[status(thm)],[])).
% 49.29/31.79 tff(14220,plain,
% 49.29/31.79 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106))),
% 49.29/31.79 inference(modus_ponens,[status(thm)],[14219, 14218])).
% 49.29/31.79 tff(14221,plain,
% 49.29/31.79 (v84(constB106, bitIndex0) | (~v94(constB106))),
% 49.29/31.79 inference(unit_resolution,[status(thm)],[14220, 1421, 14214])).
% 49.29/31.79 tff(14222,plain,
% 49.29/31.79 (v84(constB106, bitIndex0)),
% 49.29/31.79 inference(unit_resolution,[status(thm)],[14221, 14084])).
% 49.29/31.79 tff(14223,plain,
% 49.29/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))),
% 49.29/31.79 inference(rewrite,[status(thm)],[])).
% 49.29/31.79 tff(14224,plain,
% 49.29/31.79 (((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0)) <=> ((~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))),
% 49.29/31.79 inference(rewrite,[status(thm)],[])).
% 49.29/31.79 tff(14225,plain,
% 49.29/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0)))),
% 49.35/31.79 inference(monotonicity,[status(thm)],[14224])).
% 49.35/31.79 tff(14226,plain,
% 49.35/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))),
% 49.35/31.79 inference(transitivity,[status(thm)],[14225, 14223])).
% 49.35/31.79 tff(14227,plain,
% 49.35/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0))),
% 49.35/31.79 inference(quant_inst,[status(thm)],[])).
% 49.35/31.79 tff(14228,plain,
% 49.35/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0)),
% 49.35/31.79 inference(modus_ponens,[status(thm)],[14227, 14226])).
% 49.35/31.79 tff(14229,plain,
% 49.35/31.79 ((~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0)),
% 49.35/31.79 inference(unit_resolution,[status(thm)],[14228, 1439, 14139])).
% 49.35/31.79 tff(14230,plain,
% 49.35/31.79 ((~v84(constB106, bitIndex0)) | v84(constB107, bitIndex0)),
% 49.35/31.79 inference(unit_resolution,[status(thm)],[14229, 14151])).
% 49.35/31.79 tff(14231,plain,
% 49.35/31.79 (v84(constB107, bitIndex0)),
% 49.35/31.79 inference(unit_resolution,[status(thm)],[14230, 14222])).
% 49.35/31.79 tff(14232,plain,
% 49.35/31.79 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | v145(constB107))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | v145(constB107))),
% 49.35/31.79 inference(rewrite,[status(thm)],[])).
% 49.35/31.79 tff(14233,plain,
% 49.35/31.79 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | v145(constB107))),
% 49.35/31.79 inference(quant_inst,[status(thm)],[])).
% 49.35/31.79 tff(14234,plain,
% 49.35/31.79 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | v145(constB107)),
% 49.35/31.79 inference(modus_ponens,[status(thm)],[14233, 14232])).
% 49.35/31.79 tff(14235,plain,
% 49.35/31.79 (v145(constB107)),
% 49.35/31.79 inference(unit_resolution,[status(thm)],[14234, 1268, 14231, 14197, 14160])).
% 49.35/31.79 tff(14236,plain,
% 49.35/31.79 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB107) | (~v145(constB107)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB107) | (~v145(constB107)))),
% 49.35/31.79 inference(rewrite,[status(thm)],[])).
% 49.35/31.79 tff(14237,plain,
% 49.35/31.79 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB107) | (~v145(constB107)))),
% 49.35/31.79 inference(quant_inst,[status(thm)],[])).
% 49.35/31.79 tff(14238,plain,
% 49.35/31.79 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB107) | (~v145(constB107))),
% 49.35/31.79 inference(modus_ponens,[status(thm)],[14237, 14236])).
% 49.35/31.79 tff(14239,plain,
% 49.35/31.79 (v112(constB107)),
% 49.35/31.79 inference(unit_resolution,[status(thm)],[14238, 1253, 14235])).
% 49.35/31.79 tff(14240,plain,
% 49.35/31.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB107) | (~v112(constB107)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14241,plain,
% 49.35/31.80 (((~v112(constB107)) | v111(constB107)) <=> (v111(constB107) | (~v112(constB107)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14242,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB107)) | v111(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB107) | (~v112(constB107))))),
% 49.35/31.80 inference(monotonicity,[status(thm)],[14241])).
% 49.35/31.80 tff(14243,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB107)) | v111(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB107) | (~v112(constB107)))),
% 49.35/31.80 inference(transitivity,[status(thm)],[14242, 14240])).
% 49.35/31.80 tff(14244,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB107)) | v111(constB107))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14245,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB107) | (~v112(constB107))),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14244, 14243])).
% 49.35/31.80 tff(14246,plain,
% 49.35/31.80 (v111(constB107)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14245, 278, 14239])).
% 49.35/31.80 tff(14247,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB107) | (~v111(constB107)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB107) | (~v111(constB107)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14248,plain,
% 49.35/31.80 (((~v111(constB107)) | v110(constB107)) <=> (v110(constB107) | (~v111(constB107)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14249,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB107)) | v110(constB107))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB107) | (~v111(constB107))))),
% 49.35/31.80 inference(monotonicity,[status(thm)],[14248])).
% 49.35/31.80 tff(14250,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB107)) | v110(constB107))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB107) | (~v111(constB107)))),
% 49.35/31.80 inference(transitivity,[status(thm)],[14249, 14247])).
% 49.35/31.80 tff(14251,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB107)) | v110(constB107))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14252,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB107) | (~v111(constB107))),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14251, 14250])).
% 49.35/31.80 tff(14253,plain,
% 49.35/31.80 (v110(constB107)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14252, 292, 14246])).
% 49.35/31.80 tff(14254,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB107)) | v109(constB107))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB107)) | v109(constB107))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14255,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB107)) | v109(constB107))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14256,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB107)) | v109(constB107)),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14255, 14254])).
% 49.35/31.80 tff(14257,plain,
% 49.35/31.80 (v109(constB107)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14256, 306, 14253])).
% 49.35/31.80 tff(14258,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v109(constB107)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v109(constB107)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14259,plain,
% 49.35/31.80 (((~v109(constB107)) | v108(constB107)) <=> (v108(constB107) | (~v109(constB107)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14260,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v109(constB107))))),
% 49.35/31.80 inference(monotonicity,[status(thm)],[14259])).
% 49.35/31.80 tff(14261,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v109(constB107)))),
% 49.35/31.80 inference(transitivity,[status(thm)],[14260, 14258])).
% 49.35/31.80 tff(14262,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB107)) | v108(constB107))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14263,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v109(constB107))),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14262, 14261])).
% 49.35/31.80 tff(14264,plain,
% 49.35/31.80 (v108(constB107)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14263, 320, 14257])).
% 49.35/31.80 tff(14265,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB107) | (~v108(constB107)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB107) | (~v108(constB107)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14266,plain,
% 49.35/31.80 (((~v108(constB107)) | v107(constB107)) <=> (v107(constB107) | (~v108(constB107)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14267,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB107)) | v107(constB107))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB107) | (~v108(constB107))))),
% 49.35/31.80 inference(monotonicity,[status(thm)],[14266])).
% 49.35/31.80 tff(14268,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB107)) | v107(constB107))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB107) | (~v108(constB107)))),
% 49.35/31.80 inference(transitivity,[status(thm)],[14267, 14265])).
% 49.35/31.80 tff(14269,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB107)) | v107(constB107))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14270,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB107) | (~v108(constB107))),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14269, 14268])).
% 49.35/31.80 tff(14271,plain,
% 49.35/31.80 (v107(constB107)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14270, 334, 14264])).
% 49.35/31.80 tff(14272,assumption,(v26(constB107)), introduced(assumption)).
% 49.35/31.80 tff(14273,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB107))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14274,plain,
% 49.35/31.80 ($false),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14273, 55, 14272])).
% 49.35/31.80 tff(14275,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.80 tff(14276,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | (~v107(constB107)) | v106(constB107))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB107) | (~v107(constB107)) | v106(constB107))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14277,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | (~v107(constB107)) | v106(constB107))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14278,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB107) | (~v107(constB107)) | v106(constB107)),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14277, 14276])).
% 49.35/31.80 tff(14279,plain,
% 49.35/31.80 ((~v107(constB107)) | v106(constB107)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14278, 348, 14275])).
% 49.35/31.80 tff(14280,plain,
% 49.35/31.80 (v106(constB107)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14279, 14271])).
% 49.35/31.80 tff(14281,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB107) | (~v106(constB107)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB107) | (~v106(constB107)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14282,plain,
% 49.35/31.80 (((~v106(constB107)) | v102(constB107)) <=> (v102(constB107) | (~v106(constB107)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14283,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB107)) | v102(constB107))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB107) | (~v106(constB107))))),
% 49.35/31.80 inference(monotonicity,[status(thm)],[14282])).
% 49.35/31.80 tff(14284,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB107)) | v102(constB107))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB107) | (~v106(constB107)))),
% 49.35/31.80 inference(transitivity,[status(thm)],[14283, 14281])).
% 49.35/31.80 tff(14285,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB107)) | v102(constB107))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14286,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB107) | (~v106(constB107))),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14285, 14284])).
% 49.35/31.80 tff(14287,plain,
% 49.35/31.80 (v102(constB107)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14286, 504, 14280])).
% 49.35/31.80 tff(14288,plain,
% 49.35/31.80 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14289,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 49.35/31.80 tff(14290,plain,
% 49.35/31.80 (nextState(constB107, constB108)),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14289, 14288])).
% 49.35/31.80 tff(14291,plain,
% 49.35/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14292,plain,
% 49.35/31.80 (((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108)) <=> ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14293,plain,
% 49.35/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107))))),
% 49.35/31.80 inference(monotonicity,[status(thm)],[14292])).
% 49.35/31.80 tff(14294,plain,
% 49.35/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 49.35/31.80 inference(transitivity,[status(thm)],[14293, 14291])).
% 49.35/31.80 tff(14295,plain,
% 49.35/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14296,plain,
% 49.35/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107))),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14295, 14294])).
% 49.35/31.80 tff(14297,plain,
% 49.35/31.80 (v104(constB108) | (~v102(constB107))),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14296, 489, 14290])).
% 49.35/31.80 tff(14298,plain,
% 49.35/31.80 (v104(constB108)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14297, 14287])).
% 49.35/31.80 tff(14299,plain,
% 49.35/31.80 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14300,plain,
% 49.35/31.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14301,plain,
% 49.35/31.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108))),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14300, 14299])).
% 49.35/31.80 tff(14302,plain,
% 49.35/31.80 (~v98(constB108)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14301, 423, 14290, 14136])).
% 49.35/31.80 tff(14303,plain,
% 49.35/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14304,plain,
% 49.35/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14305,plain,
% 49.35/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB107, constB108)) | v96(constB108) | v98(constB108)),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14304, 14303])).
% 49.35/31.80 tff(14306,plain,
% 49.35/31.80 (v96(constB108) | v98(constB108)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14305, 437, 14290])).
% 49.35/31.80 tff(14307,plain,
% 49.35/31.80 (v96(constB108)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14306, 14302])).
% 49.35/31.80 tff(14308,plain,
% 49.35/31.80 (v1(constB108) <=> v1(constB108)),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14309,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 49.35/31.80 tff(14310,plain,
% 49.35/31.80 (v1(constB108)),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14309, 14308])).
% 49.35/31.80 tff(14311,plain,
% 49.35/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14312,plain,
% 49.35/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14313,plain,
% 49.35/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108))),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14312, 14311])).
% 49.35/31.80 tff(14314,plain,
% 49.35/31.80 (v95(constB108) | (~v96(constB108))),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14313, 455, 14290, 14310])).
% 49.35/31.80 tff(14315,plain,
% 49.35/31.80 (v95(constB108)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14314, 14307])).
% 49.35/31.80 tff(14316,plain,
% 49.35/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14317,plain,
% 49.35/31.80 (((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108)) <=> ((~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14318,plain,
% 49.35/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108))))),
% 49.35/31.80 inference(monotonicity,[status(thm)],[14317])).
% 49.35/31.80 tff(14319,plain,
% 49.35/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))),
% 49.35/31.80 inference(transitivity,[status(thm)],[14318, 14316])).
% 49.35/31.80 tff(14320,plain,
% 49.35/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14321,plain,
% 49.35/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108))),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14320, 14319])).
% 49.35/31.80 tff(14322,plain,
% 49.35/31.80 (v94(constB108) | (~v95(constB108)) | (~v104(constB108))),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14321, 470, 14290])).
% 49.35/31.80 tff(14323,plain,
% 49.35/31.80 (v94(constB108) | (~v104(constB108))),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14322, 14315])).
% 49.35/31.80 tff(14324,plain,
% 49.35/31.80 (v94(constB108)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14323, 14298])).
% 49.35/31.80 tff(14325,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB107)) | (~v124(constB107, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB107)) | (~v124(constB107, bitIndex2)))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14326,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB107)) | (~v124(constB107, bitIndex2)))),
% 49.35/31.80 inference(quant_inst,[status(thm)],[])).
% 49.35/31.80 tff(14327,plain,
% 49.35/31.80 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB107)) | (~v124(constB107, bitIndex2))),
% 49.35/31.80 inference(modus_ponens,[status(thm)],[14326, 14325])).
% 49.35/31.80 tff(14328,plain,
% 49.35/31.80 (~v124(constB107, bitIndex2)),
% 49.35/31.80 inference(unit_resolution,[status(thm)],[14327, 1456, 14235])).
% 49.35/31.80 tff(14329,plain,
% 49.35/31.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB107, bitIndex2)) | v26(constB107) | v124(constB107, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB107, bitIndex2)) | v26(constB107) | v124(constB107, bitIndex2))),
% 49.35/31.80 inference(rewrite,[status(thm)],[])).
% 49.35/31.80 tff(14330,plain,
% 49.35/31.80 ((v26(constB107) | v124(constB107, bitIndex2) | (~v121(constB107, bitIndex2))) <=> ((~v121(constB107, bitIndex2)) | v26(constB107) | v124(constB107, bitIndex2))),
% 49.35/31.81 inference(rewrite,[status(thm)],[])).
% 49.35/31.81 tff(14331,plain,
% 49.35/31.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB107) | v124(constB107, bitIndex2) | (~v121(constB107, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB107, bitIndex2)) | v26(constB107) | v124(constB107, bitIndex2)))),
% 49.35/31.81 inference(monotonicity,[status(thm)],[14330])).
% 49.35/31.81 tff(14332,plain,
% 49.35/31.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB107) | v124(constB107, bitIndex2) | (~v121(constB107, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB107, bitIndex2)) | v26(constB107) | v124(constB107, bitIndex2))),
% 49.35/31.81 inference(transitivity,[status(thm)],[14331, 14329])).
% 49.35/31.81 tff(14333,plain,
% 49.35/31.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB107) | v124(constB107, bitIndex2) | (~v121(constB107, bitIndex2)))),
% 49.35/31.81 inference(quant_inst,[status(thm)],[])).
% 49.35/31.81 tff(14334,plain,
% 49.35/31.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB107, bitIndex2)) | v26(constB107) | v124(constB107, bitIndex2)),
% 49.35/31.81 inference(modus_ponens,[status(thm)],[14333, 14332])).
% 49.35/31.81 tff(14335,plain,
% 49.35/31.81 ((~v121(constB107, bitIndex2)) | v124(constB107, bitIndex2)),
% 49.35/31.81 inference(unit_resolution,[status(thm)],[14334, 1187, 14275])).
% 49.35/31.81 tff(14336,plain,
% 49.35/31.81 (~v121(constB107, bitIndex2)),
% 49.35/31.81 inference(unit_resolution,[status(thm)],[14335, 14328])).
% 49.35/31.81 tff(14337,plain,
% 49.35/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v121(constB107, bitIndex2) | (~v123(constB108, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v121(constB107, bitIndex2) | (~v123(constB108, bitIndex2)))),
% 49.35/31.81 inference(rewrite,[status(thm)],[])).
% 49.35/31.81 tff(14338,plain,
% 49.35/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v121(constB107, bitIndex2) | (~v123(constB108, bitIndex2)))),
% 49.35/31.81 inference(quant_inst,[status(thm)],[])).
% 49.35/31.81 tff(14339,plain,
% 49.35/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v121(constB107, bitIndex2) | (~v123(constB108, bitIndex2))),
% 49.35/31.81 inference(modus_ponens,[status(thm)],[14338, 14337])).
% 49.35/31.81 tff(14340,plain,
% 49.35/31.81 (v121(constB107, bitIndex2) | (~v123(constB108, bitIndex2))),
% 49.35/31.81 inference(unit_resolution,[status(thm)],[14339, 1205, 14290])).
% 49.35/31.81 tff(14341,plain,
% 49.35/31.81 (~v123(constB108, bitIndex2)),
% 49.35/31.81 inference(unit_resolution,[status(thm)],[14340, 14336])).
% 49.35/31.81 tff(14342,plain,
% 49.35/31.81 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2) | (~v94(constB108)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2) | (~v94(constB108)))),
% 49.35/31.81 inference(rewrite,[status(thm)],[])).
% 49.35/31.81 tff(14343,plain,
% 49.35/31.81 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2) | (~v94(constB108)))),
% 49.35/31.81 inference(quant_inst,[status(thm)],[])).
% 49.35/31.81 tff(14344,plain,
% 49.35/31.81 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2) | (~v94(constB108))),
% 49.35/31.81 inference(modus_ponens,[status(thm)],[14343, 14342])).
% 49.35/31.81 tff(14345,plain,
% 49.35/31.81 ((~v84(constB108, bitIndex2)) | (~v94(constB108))),
% 49.35/31.81 inference(unit_resolution,[status(thm)],[14344, 1220, 14341])).
% 49.35/31.81 tff(14346,plain,
% 49.35/31.81 (~v84(constB108, bitIndex2)),
% 49.35/31.81 inference(unit_resolution,[status(thm)],[14345, 14324])).
% 49.35/31.81 tff(14347,plain,
% 49.35/31.81 ((~v1(constB109)) <=> (~v1(constB109))),
% 49.35/31.81 inference(rewrite,[status(thm)],[])).
% 49.35/31.81 tff(14348,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 49.35/31.81 tff(14349,plain,
% 49.35/31.81 (~v1(constB109)),
% 49.35/31.81 inference(modus_ponens,[status(thm)],[14348, 14347])).
% 49.35/31.81 tff(14350,plain,
% 49.35/31.81 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 49.35/31.81 inference(rewrite,[status(thm)],[])).
% 49.35/31.81 tff(14351,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 49.35/31.81 tff(14352,plain,
% 49.35/31.81 (nextState(constB108, constB109)),
% 49.35/31.81 inference(modus_ponens,[status(thm)],[14351, 14350])).
% 49.35/31.81 tff(14353,plain,
% 49.35/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 49.35/31.81 inference(rewrite,[status(thm)],[])).
% 49.35/31.81 tff(14354,plain,
% 49.35/31.81 (((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 49.35/31.81 inference(rewrite,[status(thm)],[])).
% 49.35/31.81 tff(14355,plain,
% 49.35/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109))))),
% 49.35/31.81 inference(monotonicity,[status(thm)],[14354])).
% 49.35/31.81 tff(14356,plain,
% 49.35/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 49.35/31.81 inference(transitivity,[status(thm)],[14355, 14353])).
% 49.35/31.81 tff(14357,plain,
% 49.35/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))),
% 49.35/31.81 inference(quant_inst,[status(thm)],[])).
% 49.35/31.81 tff(14358,plain,
% 49.35/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109))),
% 49.35/31.81 inference(modus_ponens,[status(thm)],[14357, 14356])).
% 49.35/31.81 tff(14359,plain,
% 49.35/31.81 (~v95(constB109)),
% 49.35/31.81 inference(unit_resolution,[status(thm)],[14358, 110, 14352, 14349])).
% 49.35/31.81 tff(14360,plain,
% 49.35/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))),
% 49.35/31.81 inference(rewrite,[status(thm)],[])).
% 49.35/31.81 tff(14361,plain,
% 49.35/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))),
% 49.35/31.81 inference(quant_inst,[status(thm)],[])).
% 49.35/31.81 tff(14362,plain,
% 49.35/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109))),
% 49.35/31.81 inference(modus_ponens,[status(thm)],[14361, 14360])).
% 49.35/31.81 tff(14363,plain,
% 49.35/31.81 (v95(constB109) | (~v94(constB109))),
% 49.35/31.81 inference(unit_resolution,[status(thm)],[14362, 127, 14352])).
% 49.35/31.81 tff(14364,plain,
% 49.35/31.81 (~v94(constB109)),
% 49.35/31.81 inference(unit_resolution,[status(thm)],[14363, 14359])).
% 49.35/31.81 tff(14365,plain,
% 49.35/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex2)))),
% 49.35/31.81 inference(rewrite,[status(thm)],[])).
% 49.35/31.81 tff(14366,plain,
% 49.35/31.81 (((~nextState(constB108, constB109)) | v84(constB108, bitIndex2) | v94(constB109) | (~v84(constB109, bitIndex2))) <=> (v84(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex2)))),
% 49.35/31.81 inference(rewrite,[status(thm)],[])).
% 49.35/31.81 tff(14367,plain,
% 49.35/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex2) | v94(constB109) | (~v84(constB109, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex2))))),
% 49.35/31.81 inference(monotonicity,[status(thm)],[14366])).
% 49.35/31.81 tff(14368,plain,
% 49.35/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex2) | v94(constB109) | (~v84(constB109, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex2)))),
% 49.35/31.81 inference(transitivity,[status(thm)],[14367, 14365])).
% 49.35/31.81 tff(14369,plain,
% 49.35/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex2) | v94(constB109) | (~v84(constB109, bitIndex2)))),
% 49.35/31.81 inference(quant_inst,[status(thm)],[])).
% 49.35/31.81 tff(14370,plain,
% 49.35/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex2))),
% 49.35/31.81 inference(modus_ponens,[status(thm)],[14369, 14368])).
% 49.35/31.81 tff(14371,plain,
% 49.35/31.81 (v84(constB108, bitIndex2) | v94(constB109) | (~v84(constB109, bitIndex2))),
% 49.35/31.81 inference(unit_resolution,[status(thm)],[14370, 142, 14352])).
% 49.35/31.81 tff(14372,plain,
% 49.35/31.81 (v84(constB108, bitIndex2) | (~v84(constB109, bitIndex2))),
% 49.35/31.81 inference(unit_resolution,[status(thm)],[14371, 14364])).
% 49.35/31.81 tff(14373,plain,
% 49.35/31.81 (~v84(constB109, bitIndex2)),
% 49.35/31.81 inference(unit_resolution,[status(thm)],[14372, 14346])).
% 49.35/31.81 tff(14374,plain,
% 49.35/31.81 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB107)) | v124(constB107, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB107)) | v124(constB107, bitIndex1))),
% 49.35/31.81 inference(rewrite,[status(thm)],[])).
% 49.35/31.81 tff(14375,plain,
% 49.35/31.81 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB107)) | v124(constB107, bitIndex1))),
% 49.35/31.81 inference(quant_inst,[status(thm)],[])).
% 49.35/31.82 tff(14376,plain,
% 49.35/31.82 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB107)) | v124(constB107, bitIndex1)),
% 49.35/31.82 inference(modus_ponens,[status(thm)],[14375, 14374])).
% 49.35/31.82 tff(14377,plain,
% 49.35/31.82 (v124(constB107, bitIndex1)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14376, 1512, 14235])).
% 49.35/31.82 tff(14378,plain,
% 49.35/31.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14379,plain,
% 49.35/31.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1))),
% 49.35/31.82 inference(quant_inst,[status(thm)],[])).
% 49.35/31.82 tff(14380,plain,
% 49.35/31.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1)),
% 49.35/31.82 inference(modus_ponens,[status(thm)],[14379, 14378])).
% 49.35/31.82 tff(14381,plain,
% 49.35/31.82 ((~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14380, 857, 14275])).
% 49.35/31.82 tff(14382,plain,
% 49.35/31.82 (v121(constB107, bitIndex1)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14381, 14377])).
% 49.35/31.82 tff(14383,plain,
% 49.35/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14384,plain,
% 49.35/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1))),
% 49.35/31.82 inference(quant_inst,[status(thm)],[])).
% 49.35/31.82 tff(14385,plain,
% 49.35/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1)),
% 49.35/31.82 inference(modus_ponens,[status(thm)],[14384, 14383])).
% 49.35/31.82 tff(14386,plain,
% 49.35/31.82 ((~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14385, 872, 14290])).
% 49.35/31.82 tff(14387,plain,
% 49.35/31.82 (v123(constB108, bitIndex1)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14386, 14382])).
% 49.35/31.82 tff(14388,plain,
% 49.35/31.82 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14389,plain,
% 49.35/31.82 ((v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1))) <=> (v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14390,plain,
% 49.35/31.82 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108))))),
% 49.35/31.82 inference(monotonicity,[status(thm)],[14389])).
% 49.35/31.82 tff(14391,plain,
% 49.35/31.82 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))),
% 49.35/31.82 inference(transitivity,[status(thm)],[14390, 14388])).
% 49.35/31.82 tff(14392,plain,
% 49.35/31.82 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1)))),
% 49.35/31.82 inference(quant_inst,[status(thm)],[])).
% 49.35/31.82 tff(14393,plain,
% 49.35/31.82 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108))),
% 49.35/31.82 inference(modus_ponens,[status(thm)],[14392, 14391])).
% 49.35/31.82 tff(14394,plain,
% 49.35/31.82 (v84(constB108, bitIndex1) | (~v94(constB108))),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14393, 887, 14387])).
% 49.35/31.82 tff(14395,plain,
% 49.35/31.82 (v84(constB108, bitIndex1)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14394, 14324])).
% 49.35/31.82 tff(14396,plain,
% 49.35/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14397,plain,
% 49.35/31.82 (((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1)) <=> ((~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14398,plain,
% 49.35/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1)))),
% 49.35/31.82 inference(monotonicity,[status(thm)],[14397])).
% 49.35/31.82 tff(14399,plain,
% 49.35/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))),
% 49.35/31.82 inference(transitivity,[status(thm)],[14398, 14396])).
% 49.35/31.82 tff(14400,plain,
% 49.35/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1))),
% 49.35/31.82 inference(quant_inst,[status(thm)],[])).
% 49.35/31.82 tff(14401,plain,
% 49.35/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1)),
% 49.35/31.82 inference(modus_ponens,[status(thm)],[14400, 14399])).
% 49.35/31.82 tff(14402,plain,
% 49.35/31.82 ((~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14401, 905, 14352])).
% 49.35/31.82 tff(14403,plain,
% 49.35/31.82 ((~v84(constB108, bitIndex1)) | v84(constB109, bitIndex1)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14402, 14364])).
% 49.35/31.82 tff(14404,plain,
% 49.35/31.82 (v84(constB109, bitIndex1)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14403, 14395])).
% 49.35/31.82 tff(14405,plain,
% 49.35/31.82 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB107)) | (~v124(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB107)) | (~v124(constB107, bitIndex0)))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14406,plain,
% 49.35/31.82 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB107)) | (~v124(constB107, bitIndex0)))),
% 49.35/31.82 inference(quant_inst,[status(thm)],[])).
% 49.35/31.82 tff(14407,plain,
% 49.35/31.82 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB107)) | (~v124(constB107, bitIndex0))),
% 49.35/31.82 inference(modus_ponens,[status(thm)],[14406, 14405])).
% 49.35/31.82 tff(14408,plain,
% 49.35/31.82 (~v124(constB107, bitIndex0)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14407, 1550, 14235])).
% 49.35/31.82 tff(14409,plain,
% 49.35/31.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14410,plain,
% 49.35/31.82 ((v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0))) <=> ((~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14411,plain,
% 49.35/31.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0)))),
% 49.35/31.82 inference(monotonicity,[status(thm)],[14410])).
% 49.35/31.82 tff(14412,plain,
% 49.35/31.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))),
% 49.35/31.82 inference(transitivity,[status(thm)],[14411, 14409])).
% 49.35/31.82 tff(14413,plain,
% 49.35/31.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))),
% 49.35/31.82 inference(quant_inst,[status(thm)],[])).
% 49.35/31.82 tff(14414,plain,
% 49.35/31.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0)),
% 49.35/31.82 inference(modus_ponens,[status(thm)],[14413, 14412])).
% 49.35/31.82 tff(14415,plain,
% 49.35/31.82 ((~v121(constB107, bitIndex0)) | v124(constB107, bitIndex0)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14414, 607, 14275])).
% 49.35/31.82 tff(14416,plain,
% 49.35/31.82 (~v121(constB107, bitIndex0)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14415, 14408])).
% 49.35/31.82 tff(14417,plain,
% 49.35/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0)))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14418,plain,
% 49.35/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0)))),
% 49.35/31.82 inference(quant_inst,[status(thm)],[])).
% 49.35/31.82 tff(14419,plain,
% 49.35/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0))),
% 49.35/31.82 inference(modus_ponens,[status(thm)],[14418, 14417])).
% 49.35/31.82 tff(14420,plain,
% 49.35/31.82 (v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0))),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14419, 637, 14290])).
% 49.35/31.82 tff(14421,plain,
% 49.35/31.82 (~v123(constB108, bitIndex0)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14420, 14416])).
% 49.35/31.82 tff(14422,plain,
% 49.35/31.82 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14423,plain,
% 49.35/31.82 (((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0)) <=> ((~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14424,plain,
% 49.35/31.82 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108))))),
% 49.35/31.82 inference(monotonicity,[status(thm)],[14423])).
% 49.35/31.82 tff(14425,plain,
% 49.35/31.82 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))),
% 49.35/31.82 inference(transitivity,[status(thm)],[14424, 14422])).
% 49.35/31.82 tff(14426,plain,
% 49.35/31.82 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0))),
% 49.35/31.82 inference(quant_inst,[status(thm)],[])).
% 49.35/31.82 tff(14427,plain,
% 49.35/31.82 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108))),
% 49.35/31.82 inference(modus_ponens,[status(thm)],[14426, 14425])).
% 49.35/31.82 tff(14428,plain,
% 49.35/31.82 ((~v84(constB108, bitIndex0)) | (~v94(constB108))),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14427, 652, 14421])).
% 49.35/31.82 tff(14429,plain,
% 49.35/31.82 (~v84(constB108, bitIndex0)),
% 49.35/31.82 inference(unit_resolution,[status(thm)],[14428, 14324])).
% 49.35/31.82 tff(14430,plain,
% 49.35/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 49.35/31.82 inference(rewrite,[status(thm)],[])).
% 49.35/31.82 tff(14431,plain,
% 49.35/31.82 (((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0))) <=> (v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14432,plain,
% 49.35/31.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0))))),
% 49.35/31.83 inference(monotonicity,[status(thm)],[14431])).
% 49.35/31.83 tff(14433,plain,
% 49.35/31.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 49.35/31.83 inference(transitivity,[status(thm)],[14432, 14430])).
% 49.35/31.83 tff(14434,plain,
% 49.35/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14435,plain,
% 49.35/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0))),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14434, 14433])).
% 49.35/31.83 tff(14436,plain,
% 49.35/31.83 (v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0))),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14435, 184, 14352])).
% 49.35/31.83 tff(14437,plain,
% 49.35/31.83 (v84(constB108, bitIndex0) | (~v84(constB109, bitIndex0))),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14436, 14364])).
% 49.35/31.83 tff(14438,plain,
% 49.35/31.83 (~v84(constB109, bitIndex0)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14437, 14429])).
% 49.35/31.83 tff(14439,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v115(constB109))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v115(constB109))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14440,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v115(constB109))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14441,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v115(constB109)),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14440, 14439])).
% 49.35/31.83 tff(14442,plain,
% 49.35/31.83 (v115(constB109)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14441, 1594, 14438, 14404, 14373])).
% 49.35/31.83 tff(14443,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB109)) | v111(constB109))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB109)) | v111(constB109))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14444,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB109)) | v111(constB109))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14445,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB109)) | v111(constB109)),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14444, 14443])).
% 49.35/31.83 tff(14446,plain,
% 49.35/31.83 (v111(constB109)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14445, 1605, 14442])).
% 49.35/31.83 tff(14447,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB109) | (~v111(constB109)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB109) | (~v111(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14448,plain,
% 49.35/31.83 (((~v111(constB109)) | v110(constB109)) <=> (v110(constB109) | (~v111(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14449,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB109)) | v110(constB109))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB109) | (~v111(constB109))))),
% 49.35/31.83 inference(monotonicity,[status(thm)],[14448])).
% 49.35/31.83 tff(14450,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB109)) | v110(constB109))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB109) | (~v111(constB109)))),
% 49.35/31.83 inference(transitivity,[status(thm)],[14449, 14447])).
% 49.35/31.83 tff(14451,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB109)) | v110(constB109))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14452,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB109) | (~v111(constB109))),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14451, 14450])).
% 49.35/31.83 tff(14453,plain,
% 49.35/31.83 (v110(constB109)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14452, 292, 14446])).
% 49.35/31.83 tff(14454,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB109) | (~v110(constB109)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB109) | (~v110(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14455,plain,
% 49.35/31.83 (((~v110(constB109)) | v109(constB109)) <=> (v109(constB109) | (~v110(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14456,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB109)) | v109(constB109))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB109) | (~v110(constB109))))),
% 49.35/31.83 inference(monotonicity,[status(thm)],[14455])).
% 49.35/31.83 tff(14457,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB109)) | v109(constB109))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB109) | (~v110(constB109)))),
% 49.35/31.83 inference(transitivity,[status(thm)],[14456, 14454])).
% 49.35/31.83 tff(14458,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB109)) | v109(constB109))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14459,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB109) | (~v110(constB109))),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14458, 14457])).
% 49.35/31.83 tff(14460,plain,
% 49.35/31.83 (v109(constB109)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14459, 306, 14453])).
% 49.35/31.83 tff(14461,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v109(constB109)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v109(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14462,plain,
% 49.35/31.83 (((~v109(constB109)) | v108(constB109)) <=> (v108(constB109) | (~v109(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14463,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v109(constB109))))),
% 49.35/31.83 inference(monotonicity,[status(thm)],[14462])).
% 49.35/31.83 tff(14464,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v109(constB109)))),
% 49.35/31.83 inference(transitivity,[status(thm)],[14463, 14461])).
% 49.35/31.83 tff(14465,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB109)) | v108(constB109))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14466,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v109(constB109))),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14465, 14464])).
% 49.35/31.83 tff(14467,plain,
% 49.35/31.83 (v108(constB109)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14466, 320, 14460])).
% 49.35/31.83 tff(14468,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB109) | (~v108(constB109)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB109) | (~v108(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14469,plain,
% 49.35/31.83 (((~v108(constB109)) | v107(constB109)) <=> (v107(constB109) | (~v108(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14470,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB109)) | v107(constB109))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB109) | (~v108(constB109))))),
% 49.35/31.83 inference(monotonicity,[status(thm)],[14469])).
% 49.35/31.83 tff(14471,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB109)) | v107(constB109))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB109) | (~v108(constB109)))),
% 49.35/31.83 inference(transitivity,[status(thm)],[14470, 14468])).
% 49.35/31.83 tff(14472,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB109)) | v107(constB109))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14473,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB109) | (~v108(constB109))),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14472, 14471])).
% 49.35/31.83 tff(14474,plain,
% 49.35/31.83 (v107(constB109)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14473, 334, 14467])).
% 49.35/31.83 tff(14475,assumption,(~v102(constB109)), introduced(assumption)).
% 49.35/31.83 tff(14476,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB109) | (~v106(constB109)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB109) | (~v106(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14477,plain,
% 49.35/31.83 (((~v106(constB109)) | v102(constB109)) <=> (v102(constB109) | (~v106(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14478,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB109)) | v102(constB109))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB109) | (~v106(constB109))))),
% 49.35/31.83 inference(monotonicity,[status(thm)],[14477])).
% 49.35/31.83 tff(14479,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB109)) | v102(constB109))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB109) | (~v106(constB109)))),
% 49.35/31.83 inference(transitivity,[status(thm)],[14478, 14476])).
% 49.35/31.83 tff(14480,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB109)) | v102(constB109))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14481,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB109) | (~v106(constB109))),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14480, 14479])).
% 49.35/31.83 tff(14482,plain,
% 49.35/31.83 (~v106(constB109)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14481, 504, 14475])).
% 49.35/31.83 tff(14483,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB109) | (~v26(constB109)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB109) | (~v26(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14484,plain,
% 49.35/31.83 (((~v26(constB109)) | v102(constB109)) <=> (v102(constB109) | (~v26(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14485,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB109)) | v102(constB109))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB109) | (~v26(constB109))))),
% 49.35/31.83 inference(monotonicity,[status(thm)],[14484])).
% 49.35/31.83 tff(14486,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB109)) | v102(constB109))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB109) | (~v26(constB109)))),
% 49.35/31.83 inference(transitivity,[status(thm)],[14485, 14483])).
% 49.35/31.83 tff(14487,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB109)) | v102(constB109))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14488,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB109) | (~v26(constB109))),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14487, 14486])).
% 49.35/31.83 tff(14489,plain,
% 49.35/31.83 (~v26(constB109)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14488, 723, 14475])).
% 49.35/31.83 tff(14490,assumption,(v107(constB109)), introduced(assumption)).
% 49.35/31.83 tff(14491,plain,
% 49.35/31.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | (~v107(constB109)) | v106(constB109))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB109) | (~v107(constB109)) | v106(constB109))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14492,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | (~v107(constB109)) | v106(constB109))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14493,plain,
% 49.35/31.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB109) | (~v107(constB109)) | v106(constB109)),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14492, 14491])).
% 49.35/31.83 tff(14494,plain,
% 49.35/31.83 (v26(constB109) | v106(constB109)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14493, 348, 14490])).
% 49.35/31.83 tff(14495,plain,
% 49.35/31.83 ($false),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14494, 14489, 14482])).
% 49.35/31.83 tff(14496,plain,(v102(constB109) | (~v107(constB109))), inference(lemma,lemma(discharge,[]))).
% 49.35/31.83 tff(14497,plain,
% 49.35/31.83 (v102(constB109)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14496, 14474])).
% 49.35/31.83 tff(14498,plain,
% 49.35/31.83 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14499,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 49.35/31.83 tff(14500,plain,
% 49.35/31.83 (nextState(constB109, constB110)),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14499, 14498])).
% 49.35/31.83 tff(14501,plain,
% 49.35/31.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14502,plain,
% 49.35/31.83 (((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110)) <=> ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14503,plain,
% 49.35/31.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109))))),
% 49.35/31.83 inference(monotonicity,[status(thm)],[14502])).
% 49.35/31.83 tff(14504,plain,
% 49.35/31.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 49.35/31.83 inference(transitivity,[status(thm)],[14503, 14501])).
% 49.35/31.83 tff(14505,plain,
% 49.35/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14506,plain,
% 49.35/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109))),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14505, 14504])).
% 49.35/31.83 tff(14507,plain,
% 49.35/31.83 (v104(constB110) | (~v102(constB109))),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14506, 489, 14500])).
% 49.35/31.83 tff(14508,plain,
% 49.35/31.83 (v104(constB110)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14507, 14497])).
% 49.35/31.83 tff(14509,plain,
% 49.35/31.83 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14510,plain,
% 49.35/31.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14511,plain,
% 49.35/31.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110))),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14510, 14509])).
% 49.35/31.83 tff(14512,plain,
% 49.35/31.83 (~v98(constB110)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14511, 423, 14500, 14349])).
% 49.35/31.83 tff(14513,plain,
% 49.35/31.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14514,plain,
% 49.35/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))),
% 49.35/31.83 inference(quant_inst,[status(thm)],[])).
% 49.35/31.83 tff(14515,plain,
% 49.35/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB109, constB110)) | v96(constB110) | v98(constB110)),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14514, 14513])).
% 49.35/31.83 tff(14516,plain,
% 49.35/31.83 (v96(constB110) | v98(constB110)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14515, 437, 14500])).
% 49.35/31.83 tff(14517,plain,
% 49.35/31.83 (v96(constB110)),
% 49.35/31.83 inference(unit_resolution,[status(thm)],[14516, 14512])).
% 49.35/31.83 tff(14518,plain,
% 49.35/31.83 (v1(constB110) <=> v1(constB110)),
% 49.35/31.83 inference(rewrite,[status(thm)],[])).
% 49.35/31.83 tff(14519,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 49.35/31.83 tff(14520,plain,
% 49.35/31.83 (v1(constB110)),
% 49.35/31.83 inference(modus_ponens,[status(thm)],[14519, 14518])).
% 49.35/31.83 tff(14521,plain,
% 49.35/31.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14522,plain,
% 49.35/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))),
% 49.35/31.84 inference(quant_inst,[status(thm)],[])).
% 49.35/31.84 tff(14523,plain,
% 49.35/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110))),
% 49.35/31.84 inference(modus_ponens,[status(thm)],[14522, 14521])).
% 49.35/31.84 tff(14524,plain,
% 49.35/31.84 (v95(constB110) | (~v96(constB110))),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14523, 455, 14500, 14520])).
% 49.35/31.84 tff(14525,plain,
% 49.35/31.84 (v95(constB110)),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14524, 14517])).
% 49.35/31.84 tff(14526,plain,
% 49.35/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14527,plain,
% 49.35/31.84 (((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110)) <=> ((~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14528,plain,
% 49.35/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110))))),
% 49.35/31.84 inference(monotonicity,[status(thm)],[14527])).
% 49.35/31.84 tff(14529,plain,
% 49.35/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))),
% 49.35/31.84 inference(transitivity,[status(thm)],[14528, 14526])).
% 49.35/31.84 tff(14530,plain,
% 49.35/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))),
% 49.35/31.84 inference(quant_inst,[status(thm)],[])).
% 49.35/31.84 tff(14531,plain,
% 49.35/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110))),
% 49.35/31.84 inference(modus_ponens,[status(thm)],[14530, 14529])).
% 49.35/31.84 tff(14532,plain,
% 49.35/31.84 (v94(constB110) | (~v95(constB110)) | (~v104(constB110))),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14531, 470, 14500])).
% 49.35/31.84 tff(14533,plain,
% 49.35/31.84 (v94(constB110) | (~v104(constB110))),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14532, 14525])).
% 49.35/31.84 tff(14534,plain,
% 49.35/31.84 (v94(constB110)),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14533, 14508])).
% 49.35/31.84 tff(14535,plain,
% 49.35/31.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB109)) | (~v124(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB109)) | (~v124(constB109, bitIndex2)))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14536,plain,
% 49.35/31.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB109)) | (~v124(constB109, bitIndex2)))),
% 49.35/31.84 inference(quant_inst,[status(thm)],[])).
% 49.35/31.84 tff(14537,plain,
% 49.35/31.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB109)) | (~v124(constB109, bitIndex2))),
% 49.35/31.84 inference(modus_ponens,[status(thm)],[14536, 14535])).
% 49.35/31.84 tff(14538,plain,
% 49.35/31.84 (~v124(constB109, bitIndex2)),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14537, 1690, 14442])).
% 49.35/31.84 tff(14539,assumption,(v26(constB109)), introduced(assumption)).
% 49.35/31.84 tff(14540,plain,
% 49.35/31.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB109))),
% 49.35/31.84 inference(quant_inst,[status(thm)],[])).
% 49.35/31.84 tff(14541,plain,
% 49.35/31.84 ($false),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14540, 55, 14539])).
% 49.35/31.84 tff(14542,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.84 tff(14543,plain,
% 49.35/31.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14544,plain,
% 49.35/31.84 ((v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2))) <=> ((~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14545,plain,
% 49.35/31.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2)))),
% 49.35/31.84 inference(monotonicity,[status(thm)],[14544])).
% 49.35/31.84 tff(14546,plain,
% 49.35/31.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))),
% 49.35/31.84 inference(transitivity,[status(thm)],[14545, 14543])).
% 49.35/31.84 tff(14547,plain,
% 49.35/31.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))),
% 49.35/31.84 inference(quant_inst,[status(thm)],[])).
% 49.35/31.84 tff(14548,plain,
% 49.35/31.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2)),
% 49.35/31.84 inference(modus_ponens,[status(thm)],[14547, 14546])).
% 49.35/31.84 tff(14549,plain,
% 49.35/31.84 ((~v121(constB109, bitIndex2)) | v124(constB109, bitIndex2)),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14548, 1187, 14542])).
% 49.35/31.84 tff(14550,plain,
% 49.35/31.84 (~v121(constB109, bitIndex2)),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14549, 14538])).
% 49.35/31.84 tff(14551,plain,
% 49.35/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2)))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14552,plain,
% 49.35/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2)))),
% 49.35/31.84 inference(quant_inst,[status(thm)],[])).
% 49.35/31.84 tff(14553,plain,
% 49.35/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2))),
% 49.35/31.84 inference(modus_ponens,[status(thm)],[14552, 14551])).
% 49.35/31.84 tff(14554,plain,
% 49.35/31.84 (v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2))),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14553, 1205, 14500])).
% 49.35/31.84 tff(14555,plain,
% 49.35/31.84 (~v123(constB110, bitIndex2)),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14554, 14550])).
% 49.35/31.84 tff(14556,plain,
% 49.35/31.84 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14557,plain,
% 49.35/31.84 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))),
% 49.35/31.84 inference(quant_inst,[status(thm)],[])).
% 49.35/31.84 tff(14558,plain,
% 49.35/31.84 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110))),
% 49.35/31.84 inference(modus_ponens,[status(thm)],[14557, 14556])).
% 49.35/31.84 tff(14559,plain,
% 49.35/31.84 ((~v84(constB110, bitIndex2)) | (~v94(constB110))),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14558, 1220, 14555])).
% 49.35/31.84 tff(14560,plain,
% 49.35/31.84 (~v84(constB110, bitIndex2)),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14559, 14534])).
% 49.35/31.84 tff(14561,plain,
% 49.35/31.84 ((~v1(constB111)) <=> (~v1(constB111))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14562,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 49.35/31.84 tff(14563,plain,
% 49.35/31.84 (~v1(constB111)),
% 49.35/31.84 inference(modus_ponens,[status(thm)],[14562, 14561])).
% 49.35/31.84 tff(14564,plain,
% 49.35/31.84 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14565,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 49.35/31.84 tff(14566,plain,
% 49.35/31.84 (nextState(constB110, constB111)),
% 49.35/31.84 inference(modus_ponens,[status(thm)],[14565, 14564])).
% 49.35/31.84 tff(14567,plain,
% 49.35/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14568,plain,
% 49.35/31.84 (((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14569,plain,
% 49.35/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111))))),
% 49.35/31.84 inference(monotonicity,[status(thm)],[14568])).
% 49.35/31.84 tff(14570,plain,
% 49.35/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 49.35/31.84 inference(transitivity,[status(thm)],[14569, 14567])).
% 49.35/31.84 tff(14571,plain,
% 49.35/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))),
% 49.35/31.84 inference(quant_inst,[status(thm)],[])).
% 49.35/31.84 tff(14572,plain,
% 49.35/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111))),
% 49.35/31.84 inference(modus_ponens,[status(thm)],[14571, 14570])).
% 49.35/31.84 tff(14573,plain,
% 49.35/31.84 (~v95(constB111)),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14572, 110, 14566, 14563])).
% 49.35/31.84 tff(14574,plain,
% 49.35/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14575,plain,
% 49.35/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))),
% 49.35/31.84 inference(quant_inst,[status(thm)],[])).
% 49.35/31.84 tff(14576,plain,
% 49.35/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111))),
% 49.35/31.84 inference(modus_ponens,[status(thm)],[14575, 14574])).
% 49.35/31.84 tff(14577,plain,
% 49.35/31.84 (v95(constB111) | (~v94(constB111))),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14576, 127, 14566])).
% 49.35/31.84 tff(14578,plain,
% 49.35/31.84 (~v94(constB111)),
% 49.35/31.84 inference(unit_resolution,[status(thm)],[14577, 14573])).
% 49.35/31.84 tff(14579,plain,
% 49.35/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14580,plain,
% 49.35/31.84 (((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2))) <=> (v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 49.35/31.84 inference(rewrite,[status(thm)],[])).
% 49.35/31.84 tff(14581,plain,
% 49.35/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2))))),
% 49.35/31.84 inference(monotonicity,[status(thm)],[14580])).
% 49.35/31.84 tff(14582,plain,
% 49.35/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 49.35/31.84 inference(transitivity,[status(thm)],[14581, 14579])).
% 49.35/31.84 tff(14583,plain,
% 49.35/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 49.35/31.85 inference(quant_inst,[status(thm)],[])).
% 49.35/31.85 tff(14584,plain,
% 49.35/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2))),
% 49.35/31.85 inference(modus_ponens,[status(thm)],[14583, 14582])).
% 49.35/31.85 tff(14585,plain,
% 49.35/31.85 (v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2))),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14584, 142, 14566])).
% 49.35/31.85 tff(14586,plain,
% 49.35/31.85 (v84(constB110, bitIndex2) | (~v84(constB111, bitIndex2))),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14585, 14578])).
% 49.35/31.85 tff(14587,plain,
% 49.35/31.85 (~v84(constB111, bitIndex2)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14586, 14560])).
% 49.35/31.85 tff(14588,plain,
% 49.35/31.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB109)) | v124(constB109, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB109)) | v124(constB109, bitIndex1))),
% 49.35/31.85 inference(rewrite,[status(thm)],[])).
% 49.35/31.85 tff(14589,plain,
% 49.35/31.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB109)) | v124(constB109, bitIndex1))),
% 49.35/31.85 inference(quant_inst,[status(thm)],[])).
% 49.35/31.85 tff(14590,plain,
% 49.35/31.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB109)) | v124(constB109, bitIndex1)),
% 49.35/31.85 inference(modus_ponens,[status(thm)],[14589, 14588])).
% 49.35/31.85 tff(14591,plain,
% 49.35/31.85 (v124(constB109, bitIndex1)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14590, 1746, 14442])).
% 49.35/31.85 tff(14592,plain,
% 49.35/31.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB109) | (~v124(constB109, bitIndex1)) | v121(constB109, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB109) | (~v124(constB109, bitIndex1)) | v121(constB109, bitIndex1))),
% 49.35/31.85 inference(rewrite,[status(thm)],[])).
% 49.35/31.85 tff(14593,plain,
% 49.35/31.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB109) | (~v124(constB109, bitIndex1)) | v121(constB109, bitIndex1))),
% 49.35/31.85 inference(quant_inst,[status(thm)],[])).
% 49.35/31.85 tff(14594,plain,
% 49.35/31.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB109) | (~v124(constB109, bitIndex1)) | v121(constB109, bitIndex1)),
% 49.35/31.85 inference(modus_ponens,[status(thm)],[14593, 14592])).
% 49.35/31.85 tff(14595,plain,
% 49.35/31.85 ((~v124(constB109, bitIndex1)) | v121(constB109, bitIndex1)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14594, 857, 14542])).
% 49.35/31.85 tff(14596,plain,
% 49.35/31.85 (v121(constB109, bitIndex1)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14595, 14591])).
% 49.35/31.85 tff(14597,plain,
% 49.35/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v121(constB109, bitIndex1)) | v123(constB110, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v121(constB109, bitIndex1)) | v123(constB110, bitIndex1))),
% 49.35/31.85 inference(rewrite,[status(thm)],[])).
% 49.35/31.85 tff(14598,plain,
% 49.35/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v121(constB109, bitIndex1)) | v123(constB110, bitIndex1))),
% 49.35/31.85 inference(quant_inst,[status(thm)],[])).
% 49.35/31.85 tff(14599,plain,
% 49.35/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v121(constB109, bitIndex1)) | v123(constB110, bitIndex1)),
% 49.35/31.85 inference(modus_ponens,[status(thm)],[14598, 14597])).
% 49.35/31.85 tff(14600,plain,
% 49.35/31.85 ((~v121(constB109, bitIndex1)) | v123(constB110, bitIndex1)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14599, 872, 14500])).
% 49.35/31.85 tff(14601,plain,
% 49.35/31.85 (v123(constB110, bitIndex1)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14600, 14596])).
% 49.35/31.85 tff(14602,plain,
% 49.35/31.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)) | (~v94(constB110)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)) | (~v94(constB110)))),
% 49.35/31.85 inference(rewrite,[status(thm)],[])).
% 49.35/31.85 tff(14603,plain,
% 49.35/31.85 ((v84(constB110, bitIndex1) | (~v94(constB110)) | (~v123(constB110, bitIndex1))) <=> (v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)) | (~v94(constB110)))),
% 49.35/31.85 inference(rewrite,[status(thm)],[])).
% 49.35/31.85 tff(14604,plain,
% 49.35/31.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~v94(constB110)) | (~v123(constB110, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)) | (~v94(constB110))))),
% 49.35/31.85 inference(monotonicity,[status(thm)],[14603])).
% 49.35/31.85 tff(14605,plain,
% 49.35/31.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~v94(constB110)) | (~v123(constB110, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)) | (~v94(constB110)))),
% 49.35/31.85 inference(transitivity,[status(thm)],[14604, 14602])).
% 49.35/31.85 tff(14606,plain,
% 49.35/31.85 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~v94(constB110)) | (~v123(constB110, bitIndex1)))),
% 49.35/31.85 inference(quant_inst,[status(thm)],[])).
% 49.35/31.85 tff(14607,plain,
% 49.35/31.85 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)) | (~v94(constB110))),
% 49.35/31.85 inference(modus_ponens,[status(thm)],[14606, 14605])).
% 49.35/31.85 tff(14608,plain,
% 49.35/31.85 (v84(constB110, bitIndex1) | (~v94(constB110))),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14607, 887, 14601])).
% 49.35/31.85 tff(14609,plain,
% 49.35/31.85 (v84(constB110, bitIndex1)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14608, 14534])).
% 49.35/31.85 tff(14610,plain,
% 49.35/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex1))),
% 49.35/31.85 inference(rewrite,[status(thm)],[])).
% 49.35/31.85 tff(14611,plain,
% 49.35/31.85 (((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex1)) | v94(constB111) | v84(constB111, bitIndex1)) <=> ((~v84(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex1))),
% 49.35/31.85 inference(rewrite,[status(thm)],[])).
% 49.35/31.85 tff(14612,plain,
% 49.35/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex1)) | v94(constB111) | v84(constB111, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex1)))),
% 49.35/31.85 inference(monotonicity,[status(thm)],[14611])).
% 49.35/31.85 tff(14613,plain,
% 49.35/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex1)) | v94(constB111) | v84(constB111, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex1))),
% 49.35/31.85 inference(transitivity,[status(thm)],[14612, 14610])).
% 49.35/31.85 tff(14614,plain,
% 49.35/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex1)) | v94(constB111) | v84(constB111, bitIndex1))),
% 49.35/31.85 inference(quant_inst,[status(thm)],[])).
% 49.35/31.85 tff(14615,plain,
% 49.35/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex1)),
% 49.35/31.85 inference(modus_ponens,[status(thm)],[14614, 14613])).
% 49.35/31.85 tff(14616,plain,
% 49.35/31.85 ((~v84(constB110, bitIndex1)) | v94(constB111) | v84(constB111, bitIndex1)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14615, 905, 14566])).
% 49.35/31.85 tff(14617,plain,
% 49.35/31.85 ((~v84(constB110, bitIndex1)) | v84(constB111, bitIndex1)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14616, 14578])).
% 49.35/31.85 tff(14618,plain,
% 49.35/31.85 (v84(constB111, bitIndex1)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14617, 14609])).
% 49.35/31.85 tff(14619,plain,
% 49.35/31.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB109)) | v124(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB109)) | v124(constB109, bitIndex0))),
% 49.35/31.85 inference(rewrite,[status(thm)],[])).
% 49.35/31.85 tff(14620,plain,
% 49.35/31.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB109)) | v124(constB109, bitIndex0))),
% 49.35/31.85 inference(quant_inst,[status(thm)],[])).
% 49.35/31.85 tff(14621,plain,
% 49.35/31.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB109)) | v124(constB109, bitIndex0)),
% 49.35/31.85 inference(modus_ponens,[status(thm)],[14620, 14619])).
% 49.35/31.85 tff(14622,plain,
% 49.35/31.85 (v124(constB109, bitIndex0)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14621, 1784, 14442])).
% 49.35/31.85 tff(14623,plain,
% 49.35/31.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0))),
% 49.35/31.85 inference(rewrite,[status(thm)],[])).
% 49.35/31.85 tff(14624,plain,
% 49.35/31.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0))),
% 49.35/31.85 inference(quant_inst,[status(thm)],[])).
% 49.35/31.85 tff(14625,plain,
% 49.35/31.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0)),
% 49.35/31.85 inference(modus_ponens,[status(thm)],[14624, 14623])).
% 49.35/31.85 tff(14626,plain,
% 49.35/31.85 ((~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14625, 1391, 14542])).
% 49.35/31.85 tff(14627,plain,
% 49.35/31.85 (v121(constB109, bitIndex0)),
% 49.35/31.85 inference(unit_resolution,[status(thm)],[14626, 14622])).
% 49.35/31.85 tff(14628,plain,
% 49.35/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14629,plain,
% 49.41/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14630,plain,
% 49.41/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0)),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14629, 14628])).
% 49.41/31.86 tff(14631,plain,
% 49.41/31.86 ((~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14630, 1406, 14500])).
% 49.41/31.86 tff(14632,plain,
% 49.41/31.86 (v123(constB110, bitIndex0)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14631, 14627])).
% 49.41/31.86 tff(14633,plain,
% 49.41/31.86 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14634,plain,
% 49.41/31.86 ((v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0))) <=> (v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14635,plain,
% 49.41/31.86 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110))))),
% 49.41/31.86 inference(monotonicity,[status(thm)],[14634])).
% 49.41/31.86 tff(14636,plain,
% 49.41/31.86 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))),
% 49.41/31.86 inference(transitivity,[status(thm)],[14635, 14633])).
% 49.41/31.86 tff(14637,plain,
% 49.41/31.86 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0)))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14638,plain,
% 49.41/31.86 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110))),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14637, 14636])).
% 49.41/31.86 tff(14639,plain,
% 49.41/31.86 (v84(constB110, bitIndex0) | (~v94(constB110))),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14638, 1421, 14632])).
% 49.41/31.86 tff(14640,plain,
% 49.41/31.86 (v84(constB110, bitIndex0)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14639, 14534])).
% 49.41/31.86 tff(14641,plain,
% 49.41/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14642,plain,
% 49.41/31.86 (((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0)) <=> ((~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14643,plain,
% 49.41/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0)))),
% 49.41/31.86 inference(monotonicity,[status(thm)],[14642])).
% 49.41/31.86 tff(14644,plain,
% 49.41/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))),
% 49.41/31.86 inference(transitivity,[status(thm)],[14643, 14641])).
% 49.41/31.86 tff(14645,plain,
% 49.41/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14646,plain,
% 49.41/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0)),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14645, 14644])).
% 49.41/31.86 tff(14647,plain,
% 49.41/31.86 ((~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14646, 1439, 14566])).
% 49.41/31.86 tff(14648,plain,
% 49.41/31.86 ((~v84(constB110, bitIndex0)) | v84(constB111, bitIndex0)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14647, 14578])).
% 49.41/31.86 tff(14649,plain,
% 49.41/31.86 (v84(constB111, bitIndex0)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14648, 14640])).
% 49.41/31.86 tff(14650,plain,
% 49.41/31.86 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v116(constB111))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14651,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v116(constB111))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14652,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v116(constB111)),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14651, 14650])).
% 49.41/31.86 tff(14653,plain,
% 49.41/31.86 (v116(constB111)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14652, 1825, 14649, 14618, 14587])).
% 49.41/31.86 tff(14654,plain,
% 49.41/31.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB111) | (~v116(constB111)))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14655,plain,
% 49.41/31.86 (((~v116(constB111)) | v110(constB111)) <=> (v110(constB111) | (~v116(constB111)))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14656,plain,
% 49.41/31.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB111)) | v110(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB111) | (~v116(constB111))))),
% 49.41/31.86 inference(monotonicity,[status(thm)],[14655])).
% 49.41/31.86 tff(14657,plain,
% 49.41/31.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB111)) | v110(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB111) | (~v116(constB111)))),
% 49.41/31.86 inference(transitivity,[status(thm)],[14656, 14654])).
% 49.41/31.86 tff(14658,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB111)) | v110(constB111))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14659,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB111) | (~v116(constB111))),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14658, 14657])).
% 49.41/31.86 tff(14660,plain,
% 49.41/31.86 (v110(constB111)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14659, 1836, 14653])).
% 49.41/31.86 tff(14661,plain,
% 49.41/31.86 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB111)) | v109(constB111))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB111)) | v109(constB111))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14662,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB111)) | v109(constB111))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14663,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB111)) | v109(constB111)),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14662, 14661])).
% 49.41/31.86 tff(14664,plain,
% 49.41/31.86 (v109(constB111)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14663, 306, 14660])).
% 49.41/31.86 tff(14665,plain,
% 49.41/31.86 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB111)) | v108(constB111))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14666,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB111)) | v108(constB111))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14667,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB111)) | v108(constB111)),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14666, 14665])).
% 49.41/31.86 tff(14668,plain,
% 49.41/31.86 (v108(constB111)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14667, 320, 14664])).
% 49.41/31.86 tff(14669,plain,
% 49.41/31.86 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB111)) | v107(constB111))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB111)) | v107(constB111))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14670,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB111)) | v107(constB111))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14671,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB111)) | v107(constB111)),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14670, 14669])).
% 49.41/31.86 tff(14672,plain,
% 49.41/31.86 (v107(constB111)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14671, 334, 14668])).
% 49.41/31.86 tff(14673,assumption,(v26(constB111)), introduced(assumption)).
% 49.41/31.86 tff(14674,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB111))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14675,plain,
% 49.41/31.86 ($false),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14674, 55, 14673])).
% 49.41/31.86 tff(14676,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 49.41/31.86 tff(14677,plain,
% 49.41/31.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | (~v107(constB111)) | v106(constB111))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14678,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14679,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | (~v107(constB111)) | v106(constB111)),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14678, 14677])).
% 49.41/31.86 tff(14680,plain,
% 49.41/31.86 ((~v107(constB111)) | v106(constB111)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14679, 348, 14676])).
% 49.41/31.86 tff(14681,plain,
% 49.41/31.86 (v106(constB111)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14680, 14672])).
% 49.41/31.86 tff(14682,plain,
% 49.41/31.86 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB111) | (~v106(constB111)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB111) | (~v106(constB111)))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14683,plain,
% 49.41/31.86 (((~v106(constB111)) | v102(constB111)) <=> (v102(constB111) | (~v106(constB111)))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14684,plain,
% 49.41/31.86 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB111)) | v102(constB111))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB111) | (~v106(constB111))))),
% 49.41/31.86 inference(monotonicity,[status(thm)],[14683])).
% 49.41/31.86 tff(14685,plain,
% 49.41/31.86 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB111)) | v102(constB111))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB111) | (~v106(constB111)))),
% 49.41/31.86 inference(transitivity,[status(thm)],[14684, 14682])).
% 49.41/31.86 tff(14686,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB111)) | v102(constB111))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14687,plain,
% 49.41/31.86 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB111) | (~v106(constB111))),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14686, 14685])).
% 49.41/31.86 tff(14688,plain,
% 49.41/31.86 (v102(constB111)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14687, 504, 14681])).
% 49.41/31.86 tff(14689,plain,
% 49.41/31.86 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14690,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 49.41/31.86 tff(14691,plain,
% 49.41/31.86 (nextState(constB111, constB112)),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14690, 14689])).
% 49.41/31.86 tff(14692,plain,
% 49.41/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14693,plain,
% 49.41/31.86 (((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112)) <=> ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14694,plain,
% 49.41/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111))))),
% 49.41/31.86 inference(monotonicity,[status(thm)],[14693])).
% 49.41/31.86 tff(14695,plain,
% 49.41/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 49.41/31.86 inference(transitivity,[status(thm)],[14694, 14692])).
% 49.41/31.86 tff(14696,plain,
% 49.41/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14697,plain,
% 49.41/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111))),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14696, 14695])).
% 49.41/31.86 tff(14698,plain,
% 49.41/31.86 (v104(constB112) | (~v102(constB111))),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14697, 489, 14691])).
% 49.41/31.86 tff(14699,plain,
% 49.41/31.86 (v104(constB112)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14698, 14688])).
% 49.41/31.86 tff(14700,plain,
% 49.41/31.86 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14701,plain,
% 49.41/31.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14702,plain,
% 49.41/31.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112))),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14701, 14700])).
% 49.41/31.86 tff(14703,plain,
% 49.41/31.86 (~v98(constB112)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14702, 423, 14691, 14563])).
% 49.41/31.86 tff(14704,plain,
% 49.41/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14705,plain,
% 49.41/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))),
% 49.41/31.86 inference(quant_inst,[status(thm)],[])).
% 49.41/31.86 tff(14706,plain,
% 49.41/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB111, constB112)) | v96(constB112) | v98(constB112)),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14705, 14704])).
% 49.41/31.86 tff(14707,plain,
% 49.41/31.86 (v96(constB112) | v98(constB112)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14706, 437, 14691])).
% 49.41/31.86 tff(14708,plain,
% 49.41/31.86 (v96(constB112)),
% 49.41/31.86 inference(unit_resolution,[status(thm)],[14707, 14703])).
% 49.41/31.86 tff(14709,plain,
% 49.41/31.86 (v1(constB112) <=> v1(constB112)),
% 49.41/31.86 inference(rewrite,[status(thm)],[])).
% 49.41/31.86 tff(14710,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 49.41/31.86 tff(14711,plain,
% 49.41/31.86 (v1(constB112)),
% 49.41/31.86 inference(modus_ponens,[status(thm)],[14710, 14709])).
% 49.41/31.86 tff(14712,plain,
% 49.41/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))),
% 49.41/31.87 inference(rewrite,[status(thm)],[])).
% 49.41/31.87 tff(14713,plain,
% 49.41/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))),
% 49.41/31.87 inference(quant_inst,[status(thm)],[])).
% 49.41/31.87 tff(14714,plain,
% 49.41/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112))),
% 49.41/31.87 inference(modus_ponens,[status(thm)],[14713, 14712])).
% 49.41/31.87 tff(14715,plain,
% 49.41/31.87 (v95(constB112) | (~v96(constB112))),
% 49.41/31.87 inference(unit_resolution,[status(thm)],[14714, 455, 14691, 14711])).
% 49.41/31.87 tff(14716,plain,
% 49.41/31.87 (v95(constB112)),
% 49.41/31.87 inference(unit_resolution,[status(thm)],[14715, 14708])).
% 49.41/31.87 tff(14717,plain,
% 49.41/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))),
% 49.41/31.87 inference(rewrite,[status(thm)],[])).
% 49.41/31.87 tff(14718,plain,
% 49.41/31.87 (((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112)) <=> ((~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))),
% 49.41/31.87 inference(rewrite,[status(thm)],[])).
% 49.41/31.87 tff(14719,plain,
% 49.41/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112))))),
% 49.41/31.87 inference(monotonicity,[status(thm)],[14718])).
% 49.41/31.87 tff(14720,plain,
% 49.41/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))),
% 49.41/31.87 inference(transitivity,[status(thm)],[14719, 14717])).
% 49.41/31.87 tff(14721,plain,
% 49.41/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))),
% 49.41/31.87 inference(quant_inst,[status(thm)],[])).
% 49.41/31.87 tff(14722,plain,
% 49.41/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112))),
% 49.41/31.87 inference(modus_ponens,[status(thm)],[14721, 14720])).
% 49.41/31.87 tff(14723,plain,
% 49.41/31.87 (v94(constB112) | (~v95(constB112)) | (~v104(constB112))),
% 49.41/31.87 inference(unit_resolution,[status(thm)],[14722, 470, 14691])).
% 49.41/31.87 tff(14724,plain,
% 49.41/31.87 (v94(constB112) | (~v104(constB112))),
% 49.41/31.87 inference(unit_resolution,[status(thm)],[14723, 14716])).
% 49.41/31.87 tff(14725,plain,
% 49.41/31.87 (v94(constB112)),
% 49.41/31.87 inference(unit_resolution,[status(thm)],[14724, 14699])).
% 49.41/31.87 tff(14726,plain,
% 49.41/31.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB111)) | v124(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB111)) | v124(constB111, bitIndex2))),
% 49.41/31.87 inference(rewrite,[status(thm)],[])).
% 49.41/31.87 tff(14727,plain,
% 49.41/31.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB111)) | v124(constB111, bitIndex2))),
% 49.41/31.87 inference(quant_inst,[status(thm)],[])).
% 49.41/31.87 tff(14728,plain,
% 49.41/31.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB111)) | v124(constB111, bitIndex2)),
% 49.41/31.87 inference(modus_ponens,[status(thm)],[14727, 14726])).
% 49.41/31.87 tff(14729,plain,
% 49.41/31.87 (v124(constB111, bitIndex2)),
% 49.41/31.87 inference(unit_resolution,[status(thm)],[14728, 1923, 14653])).
% 49.41/31.87 tff(14730,plain,
% 49.41/31.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB111) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB111) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2))),
% 49.41/31.87 inference(rewrite,[status(thm)],[])).
% 49.41/31.87 tff(14731,plain,
% 49.41/31.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB111) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2))),
% 49.41/31.87 inference(quant_inst,[status(thm)],[])).
% 49.41/31.87 tff(14732,plain,
% 49.41/31.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB111) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2)),
% 49.41/31.87 inference(modus_ponens,[status(thm)],[14731, 14730])).
% 49.41/31.87 tff(14733,plain,
% 49.41/31.87 ((~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2)),
% 49.41/31.87 inference(unit_resolution,[status(thm)],[14732, 374, 14676])).
% 49.41/31.87 tff(14734,plain,
% 49.41/31.87 (v121(constB111, bitIndex2)),
% 49.41/31.87 inference(unit_resolution,[status(thm)],[14733, 14729])).
% 49.41/31.87 tff(14735,plain,
% 49.41/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v121(constB111, bitIndex2)) | v123(constB112, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB111, constB112)) | (~v121(constB111, bitIndex2)) | v123(constB112, bitIndex2))),
% 49.41/31.87 inference(rewrite,[status(thm)],[])).
% 49.41/31.87 tff(14736,plain,
% 49.41/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v121(constB111, bitIndex2)) | v123(constB112, bitIndex2))),
% 49.41/31.87 inference(quant_inst,[status(thm)],[])).
% 49.41/31.87 tff(14737,plain,
% 49.41/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB111, constB112)) | (~v121(constB111, bitIndex2)) | v123(constB112, bitIndex2)),
% 49.41/31.87 inference(modus_ponens,[status(thm)],[14736, 14735])).
% 49.41/31.87 tff(14738,plain,
% 49.41/31.87 ((~v121(constB111, bitIndex2)) | v123(constB112, bitIndex2)),
% 49.41/31.87 inference(unit_resolution,[status(thm)],[14737, 389, 14691])).
% 49.41/31.87 tff(14739,plain,
% 49.41/31.87 (v123(constB112, bitIndex2)),
% 49.41/31.87 inference(unit_resolution,[status(thm)],[14738, 14734])).
% 49.41/31.87 tff(14740,plain,
% 49.41/31.87 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)) | (~v94(constB112)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)) | (~v94(constB112)))),
% 49.41/31.87 inference(rewrite,[status(thm)],[])).
% 49.41/31.87 tff(14741,plain,
% 49.41/31.87 ((v84(constB112, bitIndex2) | (~v94(constB112)) | (~v123(constB112, bitIndex2))) <=> (v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)) | (~v94(constB112)))),
% 49.41/31.87 inference(rewrite,[status(thm)],[])).
% 49.41/31.87 tff(14742,plain,
% 49.41/31.87 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~v94(constB112)) | (~v123(constB112, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)) | (~v94(constB112))))),
% 49.41/31.87 inference(monotonicity,[status(thm)],[14741])).
% 49.41/31.87 tff(14743,plain,
% 49.41/31.87 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~v94(constB112)) | (~v123(constB112, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)) | (~v94(constB112)))),
% 49.41/31.87 inference(transitivity,[status(thm)],[14742, 14740])).
% 49.41/31.87 tff(14744,plain,
% 49.41/31.87 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~v94(constB112)) | (~v123(constB112, bitIndex2)))),
% 49.41/31.87 inference(quant_inst,[status(thm)],[])).
% 49.41/31.87 tff(14745,plain,
% 49.41/31.87 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)) | (~v94(constB112))),
% 49.41/31.87 inference(modus_ponens,[status(thm)],[14744, 14743])).
% 49.41/31.87 tff(14746,plain,
% 49.41/31.87 (v84(constB112, bitIndex2) | (~v94(constB112))),
% 49.41/31.87 inference(unit_resolution,[status(thm)],[14745, 405, 14739])).
% 49.41/31.87 tff(14747,plain,
% 49.41/31.87 (v84(constB112, bitIndex2)),
% 49.41/31.87 inference(unit_resolution,[status(thm)],[14746, 14725])).
% 49.41/31.87 tff(14748,plain,
% 49.41/31.87 ((~v1(constB113)) <=> (~v1(constB113))),
% 49.41/31.87 inference(rewrite,[status(thm)],[])).
% 49.41/31.87 tff(14749,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 49.41/31.87 tff(14750,plain,
% 49.41/31.87 (~v1(constB113)),
% 49.41/31.87 inference(modus_ponens,[status(thm)],[14749, 14748])).
% 49.41/31.87 tff(14751,plain,
% 49.41/31.87 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 49.41/31.87 inference(rewrite,[status(thm)],[])).
% 49.41/31.87 tff(14752,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 49.41/31.87 tff(14753,plain,
% 49.41/31.87 (nextState(constB112, constB113)),
% 49.41/31.87 inference(modus_ponens,[status(thm)],[14752, 14751])).
% 49.41/31.87 tff(14754,plain,
% 49.41/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 49.41/31.87 inference(rewrite,[status(thm)],[])).
% 49.41/31.87 tff(14755,plain,
% 49.41/31.87 (((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 49.41/31.87 inference(rewrite,[status(thm)],[])).
% 49.41/31.87 tff(14756,plain,
% 49.41/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113))))),
% 49.41/31.87 inference(monotonicity,[status(thm)],[14755])).
% 49.41/31.87 tff(14757,plain,
% 49.41/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 49.41/31.87 inference(transitivity,[status(thm)],[14756, 14754])).
% 49.41/31.87 tff(14758,plain,
% 49.41/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))),
% 49.41/31.87 inference(quant_inst,[status(thm)],[])).
% 49.41/31.87 tff(14759,plain,
% 49.43/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113))),
% 49.43/31.87 inference(modus_ponens,[status(thm)],[14758, 14757])).
% 49.43/31.87 tff(14760,plain,
% 49.43/31.87 (~v95(constB113)),
% 49.43/31.87 inference(unit_resolution,[status(thm)],[14759, 110, 14753, 14750])).
% 49.43/31.87 tff(14761,plain,
% 49.43/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))),
% 49.43/31.87 inference(rewrite,[status(thm)],[])).
% 49.43/31.87 tff(14762,plain,
% 49.43/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))),
% 49.43/31.87 inference(quant_inst,[status(thm)],[])).
% 49.43/31.87 tff(14763,plain,
% 49.43/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113))),
% 49.43/31.87 inference(modus_ponens,[status(thm)],[14762, 14761])).
% 49.43/31.87 tff(14764,plain,
% 49.43/31.87 (v95(constB113) | (~v94(constB113))),
% 49.43/31.87 inference(unit_resolution,[status(thm)],[14763, 127, 14753])).
% 49.43/31.87 tff(14765,plain,
% 49.43/31.87 (~v94(constB113)),
% 49.43/31.87 inference(unit_resolution,[status(thm)],[14764, 14760])).
% 49.43/31.87 tff(14766,plain,
% 49.43/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex2))),
% 49.43/31.87 inference(rewrite,[status(thm)],[])).
% 49.43/31.87 tff(14767,plain,
% 49.43/31.87 (((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex2)) | v94(constB113) | v84(constB113, bitIndex2)) <=> ((~v84(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex2))),
% 49.43/31.87 inference(rewrite,[status(thm)],[])).
% 49.43/31.87 tff(14768,plain,
% 49.43/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex2)) | v94(constB113) | v84(constB113, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex2)))),
% 49.43/31.87 inference(monotonicity,[status(thm)],[14767])).
% 49.43/31.87 tff(14769,plain,
% 49.43/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex2)) | v94(constB113) | v84(constB113, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex2))),
% 49.43/31.87 inference(transitivity,[status(thm)],[14768, 14766])).
% 49.43/31.87 tff(14770,plain,
% 49.43/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex2)) | v94(constB113) | v84(constB113, bitIndex2))),
% 49.43/31.87 inference(quant_inst,[status(thm)],[])).
% 49.43/31.87 tff(14771,plain,
% 49.43/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex2)),
% 49.43/31.88 inference(modus_ponens,[status(thm)],[14770, 14769])).
% 49.43/31.88 tff(14772,plain,
% 49.43/31.88 ((~v84(constB112, bitIndex2)) | v94(constB113) | v84(constB113, bitIndex2)),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14771, 576, 14753])).
% 49.43/31.88 tff(14773,plain,
% 49.43/31.88 ((~v84(constB112, bitIndex2)) | v84(constB113, bitIndex2)),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14772, 14765])).
% 49.43/31.88 tff(14774,plain,
% 49.43/31.88 (v84(constB113, bitIndex2)),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14773, 14747])).
% 49.43/31.88 tff(14775,plain,
% 49.43/31.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB111)) | (~v124(constB111, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB111)) | (~v124(constB111, bitIndex1)))),
% 49.43/31.88 inference(rewrite,[status(thm)],[])).
% 49.43/31.88 tff(14776,plain,
% 49.43/31.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB111)) | (~v124(constB111, bitIndex1)))),
% 49.43/31.88 inference(quant_inst,[status(thm)],[])).
% 49.43/31.88 tff(14777,plain,
% 49.43/31.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB111)) | (~v124(constB111, bitIndex1))),
% 49.43/31.88 inference(modus_ponens,[status(thm)],[14776, 14775])).
% 49.43/31.88 tff(14778,plain,
% 49.43/31.88 (~v124(constB111, bitIndex1)),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14777, 1979, 14653])).
% 49.43/31.88 tff(14779,plain,
% 49.43/31.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB111, bitIndex1)) | v26(constB111) | v124(constB111, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB111, bitIndex1)) | v26(constB111) | v124(constB111, bitIndex1))),
% 49.43/31.88 inference(rewrite,[status(thm)],[])).
% 49.43/31.88 tff(14780,plain,
% 49.43/31.88 ((v26(constB111) | v124(constB111, bitIndex1) | (~v121(constB111, bitIndex1))) <=> ((~v121(constB111, bitIndex1)) | v26(constB111) | v124(constB111, bitIndex1))),
% 49.43/31.88 inference(rewrite,[status(thm)],[])).
% 49.43/31.88 tff(14781,plain,
% 49.43/31.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB111) | v124(constB111, bitIndex1) | (~v121(constB111, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB111, bitIndex1)) | v26(constB111) | v124(constB111, bitIndex1)))),
% 49.43/31.88 inference(monotonicity,[status(thm)],[14780])).
% 49.43/31.88 tff(14782,plain,
% 49.43/31.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB111) | v124(constB111, bitIndex1) | (~v121(constB111, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB111, bitIndex1)) | v26(constB111) | v124(constB111, bitIndex1))),
% 49.43/31.88 inference(transitivity,[status(thm)],[14781, 14779])).
% 49.43/31.88 tff(14783,plain,
% 49.43/31.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB111) | v124(constB111, bitIndex1) | (~v121(constB111, bitIndex1)))),
% 49.43/31.88 inference(quant_inst,[status(thm)],[])).
% 49.43/31.88 tff(14784,plain,
% 49.43/31.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB111, bitIndex1)) | v26(constB111) | v124(constB111, bitIndex1)),
% 49.43/31.88 inference(modus_ponens,[status(thm)],[14783, 14782])).
% 49.43/31.88 tff(14785,plain,
% 49.43/31.88 ((~v121(constB111, bitIndex1)) | v124(constB111, bitIndex1)),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14784, 233, 14676])).
% 49.43/31.88 tff(14786,plain,
% 49.43/31.88 (~v121(constB111, bitIndex1)),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14785, 14778])).
% 49.43/31.88 tff(14787,plain,
% 49.43/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex1) | (~v123(constB112, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex1) | (~v123(constB112, bitIndex1)))),
% 49.43/31.88 inference(rewrite,[status(thm)],[])).
% 49.43/31.88 tff(14788,plain,
% 49.43/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex1) | (~v123(constB112, bitIndex1)))),
% 49.43/31.88 inference(quant_inst,[status(thm)],[])).
% 49.43/31.88 tff(14789,plain,
% 49.43/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex1) | (~v123(constB112, bitIndex1))),
% 49.43/31.88 inference(modus_ponens,[status(thm)],[14788, 14787])).
% 49.43/31.88 tff(14790,plain,
% 49.43/31.88 (v121(constB111, bitIndex1) | (~v123(constB112, bitIndex1))),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14789, 254, 14691])).
% 49.43/31.88 tff(14791,plain,
% 49.43/31.88 (~v123(constB112, bitIndex1)),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14790, 14786])).
% 49.43/31.88 tff(14792,plain,
% 49.43/31.88 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1) | (~v94(constB112)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1) | (~v94(constB112)))),
% 49.43/31.88 inference(rewrite,[status(thm)],[])).
% 49.43/31.88 tff(14793,plain,
% 49.43/31.88 (((~v84(constB112, bitIndex1)) | (~v94(constB112)) | v123(constB112, bitIndex1)) <=> ((~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1) | (~v94(constB112)))),
% 49.43/31.88 inference(rewrite,[status(thm)],[])).
% 49.43/31.88 tff(14794,plain,
% 49.43/31.88 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | (~v94(constB112)) | v123(constB112, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1) | (~v94(constB112))))),
% 49.43/31.88 inference(monotonicity,[status(thm)],[14793])).
% 49.43/31.88 tff(14795,plain,
% 49.43/31.88 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | (~v94(constB112)) | v123(constB112, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1) | (~v94(constB112)))),
% 49.43/31.88 inference(transitivity,[status(thm)],[14794, 14792])).
% 49.43/31.88 tff(14796,plain,
% 49.43/31.88 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | (~v94(constB112)) | v123(constB112, bitIndex1))),
% 49.43/31.88 inference(quant_inst,[status(thm)],[])).
% 49.43/31.88 tff(14797,plain,
% 49.43/31.88 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1) | (~v94(constB112))),
% 49.43/31.88 inference(modus_ponens,[status(thm)],[14796, 14795])).
% 49.43/31.88 tff(14798,plain,
% 49.43/31.88 ((~v84(constB112, bitIndex1)) | (~v94(constB112))),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14797, 532, 14791])).
% 49.43/31.88 tff(14799,plain,
% 49.43/31.88 (~v84(constB112, bitIndex1)),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14798, 14725])).
% 49.43/31.88 tff(14800,plain,
% 49.43/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex1)))),
% 49.43/31.88 inference(rewrite,[status(thm)],[])).
% 49.43/31.88 tff(14801,plain,
% 49.43/31.88 (((~nextState(constB112, constB113)) | v84(constB112, bitIndex1) | v94(constB113) | (~v84(constB113, bitIndex1))) <=> (v84(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex1)))),
% 49.43/31.88 inference(rewrite,[status(thm)],[])).
% 49.43/31.88 tff(14802,plain,
% 49.43/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex1) | v94(constB113) | (~v84(constB113, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex1))))),
% 49.43/31.88 inference(monotonicity,[status(thm)],[14801])).
% 49.43/31.88 tff(14803,plain,
% 49.43/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex1) | v94(constB113) | (~v84(constB113, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex1)))),
% 49.43/31.88 inference(transitivity,[status(thm)],[14802, 14800])).
% 49.43/31.88 tff(14804,plain,
% 49.43/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex1) | v94(constB113) | (~v84(constB113, bitIndex1)))),
% 49.43/31.88 inference(quant_inst,[status(thm)],[])).
% 49.43/31.88 tff(14805,plain,
% 49.43/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex1))),
% 49.43/31.88 inference(modus_ponens,[status(thm)],[14804, 14803])).
% 49.43/31.88 tff(14806,plain,
% 49.43/31.88 (v84(constB112, bitIndex1) | v94(constB113) | (~v84(constB113, bitIndex1))),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14805, 163, 14753])).
% 49.43/31.88 tff(14807,plain,
% 49.43/31.88 (v84(constB112, bitIndex1) | (~v84(constB113, bitIndex1))),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14806, 14765])).
% 49.43/31.88 tff(14808,plain,
% 49.43/31.88 (~v84(constB113, bitIndex1)),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14807, 14799])).
% 49.43/31.88 tff(14809,plain,
% 49.43/31.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB111)) | (~v124(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB111)) | (~v124(constB111, bitIndex0)))),
% 49.43/31.88 inference(rewrite,[status(thm)],[])).
% 49.43/31.88 tff(14810,plain,
% 49.43/31.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB111)) | (~v124(constB111, bitIndex0)))),
% 49.43/31.88 inference(quant_inst,[status(thm)],[])).
% 49.43/31.88 tff(14811,plain,
% 49.43/31.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB111)) | (~v124(constB111, bitIndex0))),
% 49.43/31.88 inference(modus_ponens,[status(thm)],[14810, 14809])).
% 49.43/31.88 tff(14812,plain,
% 49.43/31.88 (~v124(constB111, bitIndex0)),
% 49.43/31.88 inference(unit_resolution,[status(thm)],[14811, 2020, 14653])).
% 49.43/31.88 tff(14813,plain,
% 49.43/31.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))),
% 49.43/31.88 inference(rewrite,[status(thm)],[])).
% 49.43/31.88 tff(14814,plain,
% 49.43/31.89 ((v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0))) <=> ((~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14815,plain,
% 49.43/31.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0)))),
% 49.43/31.89 inference(monotonicity,[status(thm)],[14814])).
% 49.43/31.89 tff(14816,plain,
% 49.43/31.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))),
% 49.43/31.89 inference(transitivity,[status(thm)],[14815, 14813])).
% 49.43/31.89 tff(14817,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))),
% 49.43/31.89 inference(quant_inst,[status(thm)],[])).
% 49.43/31.89 tff(14818,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0)),
% 49.43/31.89 inference(modus_ponens,[status(thm)],[14817, 14816])).
% 49.43/31.89 tff(14819,plain,
% 49.43/31.89 ((~v121(constB111, bitIndex0)) | v124(constB111, bitIndex0)),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14818, 607, 14676])).
% 49.43/31.89 tff(14820,plain,
% 49.43/31.89 (~v121(constB111, bitIndex0)),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14819, 14812])).
% 49.43/31.89 tff(14821,plain,
% 49.43/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0)))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14822,plain,
% 49.43/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0)))),
% 49.43/31.89 inference(quant_inst,[status(thm)],[])).
% 49.43/31.89 tff(14823,plain,
% 49.43/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0))),
% 49.43/31.89 inference(modus_ponens,[status(thm)],[14822, 14821])).
% 49.43/31.89 tff(14824,plain,
% 49.43/31.89 (v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0))),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14823, 637, 14691])).
% 49.43/31.89 tff(14825,plain,
% 49.43/31.89 (~v123(constB112, bitIndex0)),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14824, 14820])).
% 49.43/31.89 tff(14826,plain,
% 49.43/31.89 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14827,plain,
% 49.43/31.89 (((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0)) <=> ((~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14828,plain,
% 49.43/31.89 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112))))),
% 49.43/31.89 inference(monotonicity,[status(thm)],[14827])).
% 49.43/31.89 tff(14829,plain,
% 49.43/31.89 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))),
% 49.43/31.89 inference(transitivity,[status(thm)],[14828, 14826])).
% 49.43/31.89 tff(14830,plain,
% 49.43/31.89 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0))),
% 49.43/31.89 inference(quant_inst,[status(thm)],[])).
% 49.43/31.89 tff(14831,plain,
% 49.43/31.89 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112))),
% 49.43/31.89 inference(modus_ponens,[status(thm)],[14830, 14829])).
% 49.43/31.89 tff(14832,plain,
% 49.43/31.89 ((~v84(constB112, bitIndex0)) | (~v94(constB112))),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14831, 652, 14825])).
% 49.43/31.89 tff(14833,plain,
% 49.43/31.89 (~v84(constB112, bitIndex0)),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14832, 14725])).
% 49.43/31.89 tff(14834,plain,
% 49.43/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14835,plain,
% 49.43/31.89 (((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0))) <=> (v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14836,plain,
% 49.43/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0))))),
% 49.43/31.89 inference(monotonicity,[status(thm)],[14835])).
% 49.43/31.89 tff(14837,plain,
% 49.43/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 49.43/31.89 inference(transitivity,[status(thm)],[14836, 14834])).
% 49.43/31.89 tff(14838,plain,
% 49.43/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 49.43/31.89 inference(quant_inst,[status(thm)],[])).
% 49.43/31.89 tff(14839,plain,
% 49.43/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0))),
% 49.43/31.89 inference(modus_ponens,[status(thm)],[14838, 14837])).
% 49.43/31.89 tff(14840,plain,
% 49.43/31.89 (v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0))),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14839, 184, 14753])).
% 49.43/31.89 tff(14841,plain,
% 49.43/31.89 (v84(constB112, bitIndex0) | (~v84(constB113, bitIndex0))),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14840, 14765])).
% 49.43/31.89 tff(14842,plain,
% 49.43/31.89 (~v84(constB113, bitIndex0)),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14841, 14833])).
% 49.43/31.89 tff(14843,plain,
% 49.43/31.89 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v172(constB113))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v172(constB113))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14844,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v172(constB113))),
% 49.43/31.89 inference(quant_inst,[status(thm)],[])).
% 49.43/31.89 tff(14845,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v172(constB113)),
% 49.43/31.89 inference(modus_ponens,[status(thm)],[14844, 14843])).
% 49.43/31.89 tff(14846,plain,
% 49.43/31.89 (v172(constB113)),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14845, 679, 14842, 14808, 14774])).
% 49.43/31.89 tff(14847,plain,
% 49.43/31.89 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB113) | (~v172(constB113)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB113) | (~v172(constB113)))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14848,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB113) | (~v172(constB113)))),
% 49.43/31.89 inference(quant_inst,[status(thm)],[])).
% 49.43/31.89 tff(14849,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB113) | (~v172(constB113))),
% 49.43/31.89 inference(modus_ponens,[status(thm)],[14848, 14847])).
% 49.43/31.89 tff(14850,plain,
% 49.43/31.89 (v109(constB113)),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14849, 740, 14846])).
% 49.43/31.89 tff(14851,plain,
% 49.43/31.89 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB113)) | v108(constB113))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14852,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB113)) | v108(constB113))),
% 49.43/31.89 inference(quant_inst,[status(thm)],[])).
% 49.43/31.89 tff(14853,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB113)) | v108(constB113)),
% 49.43/31.89 inference(modus_ponens,[status(thm)],[14852, 14851])).
% 49.43/31.89 tff(14854,plain,
% 49.43/31.89 (v108(constB113)),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14853, 320, 14850])).
% 49.43/31.89 tff(14855,plain,
% 49.43/31.89 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB113) | (~v108(constB113)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB113) | (~v108(constB113)))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14856,plain,
% 49.43/31.89 (((~v108(constB113)) | v107(constB113)) <=> (v107(constB113) | (~v108(constB113)))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14857,plain,
% 49.43/31.89 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB113)) | v107(constB113))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB113) | (~v108(constB113))))),
% 49.43/31.89 inference(monotonicity,[status(thm)],[14856])).
% 49.43/31.89 tff(14858,plain,
% 49.43/31.89 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB113)) | v107(constB113))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB113) | (~v108(constB113)))),
% 49.43/31.89 inference(transitivity,[status(thm)],[14857, 14855])).
% 49.43/31.89 tff(14859,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB113)) | v107(constB113))),
% 49.43/31.89 inference(quant_inst,[status(thm)],[])).
% 49.43/31.89 tff(14860,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB113) | (~v108(constB113))),
% 49.43/31.89 inference(modus_ponens,[status(thm)],[14859, 14858])).
% 49.43/31.89 tff(14861,plain,
% 49.43/31.89 (v107(constB113)),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14860, 334, 14854])).
% 49.43/31.89 tff(14862,assumption,(v26(constB113)), introduced(assumption)).
% 49.43/31.89 tff(14863,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB113))),
% 49.43/31.89 inference(quant_inst,[status(thm)],[])).
% 49.43/31.89 tff(14864,plain,
% 49.43/31.89 ($false),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14863, 55, 14862])).
% 49.43/31.89 tff(14865,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 49.43/31.89 tff(14866,plain,
% 49.43/31.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | (~v107(constB113)) | v106(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB113) | (~v107(constB113)) | v106(constB113))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14867,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | (~v107(constB113)) | v106(constB113))),
% 49.43/31.89 inference(quant_inst,[status(thm)],[])).
% 49.43/31.89 tff(14868,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB113) | (~v107(constB113)) | v106(constB113)),
% 49.43/31.89 inference(modus_ponens,[status(thm)],[14867, 14866])).
% 49.43/31.89 tff(14869,plain,
% 49.43/31.89 ((~v107(constB113)) | v106(constB113)),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14868, 348, 14865])).
% 49.43/31.89 tff(14870,plain,
% 49.43/31.89 (v106(constB113)),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14869, 14861])).
% 49.43/31.89 tff(14871,plain,
% 49.43/31.89 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB113) | (~v106(constB113)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB113) | (~v106(constB113)))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14872,plain,
% 49.43/31.89 (((~v106(constB113)) | v102(constB113)) <=> (v102(constB113) | (~v106(constB113)))),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14873,plain,
% 49.43/31.89 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB113)) | v102(constB113))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB113) | (~v106(constB113))))),
% 49.43/31.89 inference(monotonicity,[status(thm)],[14872])).
% 49.43/31.89 tff(14874,plain,
% 49.43/31.89 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB113)) | v102(constB113))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB113) | (~v106(constB113)))),
% 49.43/31.89 inference(transitivity,[status(thm)],[14873, 14871])).
% 49.43/31.89 tff(14875,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB113)) | v102(constB113))),
% 49.43/31.89 inference(quant_inst,[status(thm)],[])).
% 49.43/31.89 tff(14876,plain,
% 49.43/31.89 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB113) | (~v106(constB113))),
% 49.43/31.89 inference(modus_ponens,[status(thm)],[14875, 14874])).
% 49.43/31.89 tff(14877,plain,
% 49.43/31.89 (v102(constB113)),
% 49.43/31.89 inference(unit_resolution,[status(thm)],[14876, 504, 14870])).
% 49.43/31.89 tff(14878,plain,
% 49.43/31.89 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 49.43/31.89 inference(rewrite,[status(thm)],[])).
% 49.43/31.89 tff(14879,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 49.43/31.89 tff(14880,plain,
% 49.43/31.89 (nextState(constB113, constB114)),
% 49.43/31.89 inference(modus_ponens,[status(thm)],[14879, 14878])).
% 49.43/31.90 tff(14881,plain,
% 49.43/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14882,plain,
% 49.43/31.90 (((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114)) <=> ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14883,plain,
% 49.43/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113))))),
% 49.43/31.90 inference(monotonicity,[status(thm)],[14882])).
% 49.43/31.90 tff(14884,plain,
% 49.43/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 49.43/31.90 inference(transitivity,[status(thm)],[14883, 14881])).
% 49.43/31.90 tff(14885,plain,
% 49.43/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))),
% 49.43/31.90 inference(quant_inst,[status(thm)],[])).
% 49.43/31.90 tff(14886,plain,
% 49.43/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113))),
% 49.43/31.90 inference(modus_ponens,[status(thm)],[14885, 14884])).
% 49.43/31.90 tff(14887,plain,
% 49.43/31.90 (v104(constB114) | (~v102(constB113))),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14886, 489, 14880])).
% 49.43/31.90 tff(14888,plain,
% 49.43/31.90 (v104(constB114)),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14887, 14877])).
% 49.43/31.90 tff(14889,plain,
% 49.43/31.90 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14890,plain,
% 49.43/31.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))),
% 49.43/31.90 inference(quant_inst,[status(thm)],[])).
% 49.43/31.90 tff(14891,plain,
% 49.43/31.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114))),
% 49.43/31.90 inference(modus_ponens,[status(thm)],[14890, 14889])).
% 49.43/31.90 tff(14892,plain,
% 49.43/31.90 (~v98(constB114)),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14891, 423, 14880, 14750])).
% 49.43/31.90 tff(14893,plain,
% 49.43/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14894,plain,
% 49.43/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))),
% 49.43/31.90 inference(quant_inst,[status(thm)],[])).
% 49.43/31.90 tff(14895,plain,
% 49.43/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB113, constB114)) | v96(constB114) | v98(constB114)),
% 49.43/31.90 inference(modus_ponens,[status(thm)],[14894, 14893])).
% 49.43/31.90 tff(14896,plain,
% 49.43/31.90 (v96(constB114) | v98(constB114)),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14895, 437, 14880])).
% 49.43/31.90 tff(14897,plain,
% 49.43/31.90 (v96(constB114)),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14896, 14892])).
% 49.43/31.90 tff(14898,plain,
% 49.43/31.90 (v1(constB114) <=> v1(constB114)),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14899,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 49.43/31.90 tff(14900,plain,
% 49.43/31.90 (v1(constB114)),
% 49.43/31.90 inference(modus_ponens,[status(thm)],[14899, 14898])).
% 49.43/31.90 tff(14901,plain,
% 49.43/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14902,plain,
% 49.43/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))),
% 49.43/31.90 inference(quant_inst,[status(thm)],[])).
% 49.43/31.90 tff(14903,plain,
% 49.43/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114))),
% 49.43/31.90 inference(modus_ponens,[status(thm)],[14902, 14901])).
% 49.43/31.90 tff(14904,plain,
% 49.43/31.90 (v95(constB114) | (~v96(constB114))),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14903, 455, 14880, 14900])).
% 49.43/31.90 tff(14905,plain,
% 49.43/31.90 (v95(constB114)),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14904, 14897])).
% 49.43/31.90 tff(14906,plain,
% 49.43/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14907,plain,
% 49.43/31.90 (((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114)) <=> ((~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14908,plain,
% 49.43/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114))))),
% 49.43/31.90 inference(monotonicity,[status(thm)],[14907])).
% 49.43/31.90 tff(14909,plain,
% 49.43/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))),
% 49.43/31.90 inference(transitivity,[status(thm)],[14908, 14906])).
% 49.43/31.90 tff(14910,plain,
% 49.43/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))),
% 49.43/31.90 inference(quant_inst,[status(thm)],[])).
% 49.43/31.90 tff(14911,plain,
% 49.43/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114))),
% 49.43/31.90 inference(modus_ponens,[status(thm)],[14910, 14909])).
% 49.43/31.90 tff(14912,plain,
% 49.43/31.90 (v94(constB114) | (~v95(constB114)) | (~v104(constB114))),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14911, 470, 14880])).
% 49.43/31.90 tff(14913,plain,
% 49.43/31.90 (v94(constB114) | (~v104(constB114))),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14912, 14905])).
% 49.43/31.90 tff(14914,plain,
% 49.43/31.90 (v94(constB114)),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14913, 14888])).
% 49.43/31.90 tff(14915,plain,
% 49.43/31.90 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB113)) | v124(constB113, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB113)) | v124(constB113, bitIndex2))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14916,plain,
% 49.43/31.90 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB113)) | v124(constB113, bitIndex2))),
% 49.43/31.90 inference(quant_inst,[status(thm)],[])).
% 49.43/31.90 tff(14917,plain,
% 49.43/31.90 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB113)) | v124(constB113, bitIndex2)),
% 49.43/31.90 inference(modus_ponens,[status(thm)],[14916, 14915])).
% 49.43/31.90 tff(14918,plain,
% 49.43/31.90 (v124(constB113, bitIndex2)),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14917, 691, 14846])).
% 49.43/31.90 tff(14919,plain,
% 49.43/31.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB113) | (~v124(constB113, bitIndex2)) | v121(constB113, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB113) | (~v124(constB113, bitIndex2)) | v121(constB113, bitIndex2))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14920,plain,
% 49.43/31.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB113) | (~v124(constB113, bitIndex2)) | v121(constB113, bitIndex2))),
% 49.43/31.90 inference(quant_inst,[status(thm)],[])).
% 49.43/31.90 tff(14921,plain,
% 49.43/31.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB113) | (~v124(constB113, bitIndex2)) | v121(constB113, bitIndex2)),
% 49.43/31.90 inference(modus_ponens,[status(thm)],[14920, 14919])).
% 49.43/31.90 tff(14922,plain,
% 49.43/31.90 ((~v124(constB113, bitIndex2)) | v121(constB113, bitIndex2)),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14921, 374, 14865])).
% 49.43/31.90 tff(14923,plain,
% 49.43/31.90 (v121(constB113, bitIndex2)),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14922, 14918])).
% 49.43/31.90 tff(14924,plain,
% 49.43/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex2)) | v123(constB114, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex2)) | v123(constB114, bitIndex2))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14925,plain,
% 49.43/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex2)) | v123(constB114, bitIndex2))),
% 49.43/31.90 inference(quant_inst,[status(thm)],[])).
% 49.43/31.90 tff(14926,plain,
% 49.43/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex2)) | v123(constB114, bitIndex2)),
% 49.43/31.90 inference(modus_ponens,[status(thm)],[14925, 14924])).
% 49.43/31.90 tff(14927,plain,
% 49.43/31.90 ((~v121(constB113, bitIndex2)) | v123(constB114, bitIndex2)),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14926, 389, 14880])).
% 49.43/31.90 tff(14928,plain,
% 49.43/31.90 (v123(constB114, bitIndex2)),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14927, 14923])).
% 49.43/31.90 tff(14929,plain,
% 49.43/31.90 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)) | (~v94(constB114)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)) | (~v94(constB114)))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14930,plain,
% 49.43/31.90 ((v84(constB114, bitIndex2) | (~v94(constB114)) | (~v123(constB114, bitIndex2))) <=> (v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)) | (~v94(constB114)))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14931,plain,
% 49.43/31.90 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~v94(constB114)) | (~v123(constB114, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)) | (~v94(constB114))))),
% 49.43/31.90 inference(monotonicity,[status(thm)],[14930])).
% 49.43/31.90 tff(14932,plain,
% 49.43/31.90 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~v94(constB114)) | (~v123(constB114, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)) | (~v94(constB114)))),
% 49.43/31.90 inference(transitivity,[status(thm)],[14931, 14929])).
% 49.43/31.90 tff(14933,plain,
% 49.43/31.90 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~v94(constB114)) | (~v123(constB114, bitIndex2)))),
% 49.43/31.90 inference(quant_inst,[status(thm)],[])).
% 49.43/31.90 tff(14934,plain,
% 49.43/31.90 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)) | (~v94(constB114))),
% 49.43/31.90 inference(modus_ponens,[status(thm)],[14933, 14932])).
% 49.43/31.90 tff(14935,plain,
% 49.43/31.90 (v84(constB114, bitIndex2) | (~v94(constB114))),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14934, 405, 14928])).
% 49.43/31.90 tff(14936,plain,
% 49.43/31.90 (v84(constB114, bitIndex2)),
% 49.43/31.90 inference(unit_resolution,[status(thm)],[14935, 14914])).
% 49.43/31.90 tff(14937,plain,
% 49.43/31.90 ((~v1(constB115)) <=> (~v1(constB115))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14938,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 49.43/31.90 tff(14939,plain,
% 49.43/31.90 (~v1(constB115)),
% 49.43/31.90 inference(modus_ponens,[status(thm)],[14938, 14937])).
% 49.43/31.90 tff(14940,plain,
% 49.43/31.90 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14941,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 49.43/31.90 tff(14942,plain,
% 49.43/31.90 (nextState(constB114, constB115)),
% 49.43/31.90 inference(modus_ponens,[status(thm)],[14941, 14940])).
% 49.43/31.90 tff(14943,plain,
% 49.43/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 49.43/31.90 inference(rewrite,[status(thm)],[])).
% 49.43/31.90 tff(14944,plain,
% 49.43/31.90 (((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 49.43/31.91 inference(rewrite,[status(thm)],[])).
% 49.43/31.91 tff(14945,plain,
% 49.43/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115))))),
% 49.43/31.91 inference(monotonicity,[status(thm)],[14944])).
% 49.43/31.91 tff(14946,plain,
% 49.43/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 49.43/31.91 inference(transitivity,[status(thm)],[14945, 14943])).
% 49.43/31.91 tff(14947,plain,
% 49.43/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))),
% 49.43/31.91 inference(quant_inst,[status(thm)],[])).
% 49.43/31.91 tff(14948,plain,
% 49.43/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115))),
% 49.43/31.91 inference(modus_ponens,[status(thm)],[14947, 14946])).
% 49.43/31.91 tff(14949,plain,
% 49.43/31.91 (~v95(constB115)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14948, 110, 14942, 14939])).
% 49.43/31.91 tff(14950,plain,
% 49.43/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))),
% 49.43/31.91 inference(rewrite,[status(thm)],[])).
% 49.43/31.91 tff(14951,plain,
% 49.43/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))),
% 49.43/31.91 inference(quant_inst,[status(thm)],[])).
% 49.43/31.91 tff(14952,plain,
% 49.43/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115))),
% 49.43/31.91 inference(modus_ponens,[status(thm)],[14951, 14950])).
% 49.43/31.91 tff(14953,plain,
% 49.43/31.91 (v95(constB115) | (~v94(constB115))),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14952, 127, 14942])).
% 49.43/31.91 tff(14954,plain,
% 49.43/31.91 (~v94(constB115)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14953, 14949])).
% 49.43/31.91 tff(14955,plain,
% 49.43/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex2))),
% 49.43/31.91 inference(rewrite,[status(thm)],[])).
% 49.43/31.91 tff(14956,plain,
% 49.43/31.91 (((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex2)) | v94(constB115) | v84(constB115, bitIndex2)) <=> ((~v84(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex2))),
% 49.43/31.91 inference(rewrite,[status(thm)],[])).
% 49.43/31.91 tff(14957,plain,
% 49.43/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex2)) | v94(constB115) | v84(constB115, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex2)))),
% 49.43/31.91 inference(monotonicity,[status(thm)],[14956])).
% 49.43/31.91 tff(14958,plain,
% 49.43/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex2)) | v94(constB115) | v84(constB115, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex2))),
% 49.43/31.91 inference(transitivity,[status(thm)],[14957, 14955])).
% 49.43/31.91 tff(14959,plain,
% 49.43/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex2)) | v94(constB115) | v84(constB115, bitIndex2))),
% 49.43/31.91 inference(quant_inst,[status(thm)],[])).
% 49.43/31.91 tff(14960,plain,
% 49.43/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex2)),
% 49.43/31.91 inference(modus_ponens,[status(thm)],[14959, 14958])).
% 49.43/31.91 tff(14961,plain,
% 49.43/31.91 ((~v84(constB114, bitIndex2)) | v94(constB115) | v84(constB115, bitIndex2)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14960, 576, 14942])).
% 49.43/31.91 tff(14962,plain,
% 49.43/31.91 ((~v84(constB114, bitIndex2)) | v84(constB115, bitIndex2)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14961, 14954])).
% 49.43/31.91 tff(14963,plain,
% 49.43/31.91 (v84(constB115, bitIndex2)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14962, 14936])).
% 49.43/31.91 tff(14964,plain,
% 49.43/31.91 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB113)) | v124(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB113)) | v124(constB113, bitIndex1))),
% 49.43/31.91 inference(rewrite,[status(thm)],[])).
% 49.43/31.91 tff(14965,plain,
% 49.43/31.91 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB113)) | v124(constB113, bitIndex1))),
% 49.43/31.91 inference(quant_inst,[status(thm)],[])).
% 49.43/31.91 tff(14966,plain,
% 49.43/31.91 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB113)) | v124(constB113, bitIndex1)),
% 49.43/31.91 inference(modus_ponens,[status(thm)],[14965, 14964])).
% 49.43/31.91 tff(14967,plain,
% 49.43/31.91 (v124(constB113, bitIndex1)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14966, 843, 14846])).
% 49.43/31.91 tff(14968,plain,
% 49.43/31.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))),
% 49.43/31.91 inference(rewrite,[status(thm)],[])).
% 49.43/31.91 tff(14969,plain,
% 49.43/31.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))),
% 49.43/31.91 inference(quant_inst,[status(thm)],[])).
% 49.43/31.91 tff(14970,plain,
% 49.43/31.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1)),
% 49.43/31.91 inference(modus_ponens,[status(thm)],[14969, 14968])).
% 49.43/31.91 tff(14971,plain,
% 49.43/31.91 ((~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14970, 857, 14865])).
% 49.43/31.91 tff(14972,plain,
% 49.43/31.91 (v121(constB113, bitIndex1)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14971, 14967])).
% 49.43/31.91 tff(14973,plain,
% 49.43/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1))),
% 49.43/31.91 inference(rewrite,[status(thm)],[])).
% 49.43/31.91 tff(14974,plain,
% 49.43/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1))),
% 49.43/31.91 inference(quant_inst,[status(thm)],[])).
% 49.43/31.91 tff(14975,plain,
% 49.43/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1)),
% 49.43/31.91 inference(modus_ponens,[status(thm)],[14974, 14973])).
% 49.43/31.91 tff(14976,plain,
% 49.43/31.91 ((~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14975, 872, 14880])).
% 49.43/31.91 tff(14977,plain,
% 49.43/31.91 (v123(constB114, bitIndex1)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14976, 14972])).
% 49.43/31.91 tff(14978,plain,
% 49.43/31.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))),
% 49.43/31.91 inference(rewrite,[status(thm)],[])).
% 49.43/31.91 tff(14979,plain,
% 49.43/31.91 ((v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1))) <=> (v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))),
% 49.43/31.91 inference(rewrite,[status(thm)],[])).
% 49.43/31.91 tff(14980,plain,
% 49.43/31.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114))))),
% 49.43/31.91 inference(monotonicity,[status(thm)],[14979])).
% 49.43/31.91 tff(14981,plain,
% 49.43/31.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))),
% 49.43/31.91 inference(transitivity,[status(thm)],[14980, 14978])).
% 49.43/31.91 tff(14982,plain,
% 49.43/31.91 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1)))),
% 49.43/31.91 inference(quant_inst,[status(thm)],[])).
% 49.43/31.91 tff(14983,plain,
% 49.43/31.91 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114))),
% 49.43/31.91 inference(modus_ponens,[status(thm)],[14982, 14981])).
% 49.43/31.91 tff(14984,plain,
% 49.43/31.91 (v84(constB114, bitIndex1) | (~v94(constB114))),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14983, 887, 14977])).
% 49.43/31.91 tff(14985,plain,
% 49.43/31.91 (v84(constB114, bitIndex1)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14984, 14914])).
% 49.43/31.91 tff(14986,plain,
% 49.43/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))),
% 49.43/31.91 inference(rewrite,[status(thm)],[])).
% 49.43/31.91 tff(14987,plain,
% 49.43/31.91 (((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1)) <=> ((~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))),
% 49.43/31.91 inference(rewrite,[status(thm)],[])).
% 49.43/31.91 tff(14988,plain,
% 49.43/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1)))),
% 49.43/31.91 inference(monotonicity,[status(thm)],[14987])).
% 49.43/31.91 tff(14989,plain,
% 49.43/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))),
% 49.43/31.91 inference(transitivity,[status(thm)],[14988, 14986])).
% 49.43/31.91 tff(14990,plain,
% 49.43/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1))),
% 49.43/31.91 inference(quant_inst,[status(thm)],[])).
% 49.43/31.91 tff(14991,plain,
% 49.43/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1)),
% 49.43/31.91 inference(modus_ponens,[status(thm)],[14990, 14989])).
% 49.43/31.91 tff(14992,plain,
% 49.43/31.91 ((~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14991, 905, 14942])).
% 49.43/31.91 tff(14993,plain,
% 49.43/31.91 ((~v84(constB114, bitIndex1)) | v84(constB115, bitIndex1)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14992, 14954])).
% 49.43/31.91 tff(14994,plain,
% 49.43/31.91 (v84(constB115, bitIndex1)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14993, 14985])).
% 49.43/31.91 tff(14995,plain,
% 49.43/31.91 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB113)) | (~v124(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB113)) | (~v124(constB113, bitIndex0)))),
% 49.43/31.91 inference(rewrite,[status(thm)],[])).
% 49.43/31.91 tff(14996,plain,
% 49.43/31.91 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB113)) | (~v124(constB113, bitIndex0)))),
% 49.43/31.91 inference(quant_inst,[status(thm)],[])).
% 49.43/31.91 tff(14997,plain,
% 49.43/31.91 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB113)) | (~v124(constB113, bitIndex0))),
% 49.43/31.91 inference(modus_ponens,[status(thm)],[14996, 14995])).
% 49.43/31.91 tff(14998,plain,
% 49.43/31.91 (~v124(constB113, bitIndex0)),
% 49.43/31.91 inference(unit_resolution,[status(thm)],[14997, 921, 14846])).
% 49.43/31.91 tff(14999,plain,
% 49.43/31.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB113, bitIndex0)) | v26(constB113) | v124(constB113, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB113, bitIndex0)) | v26(constB113) | v124(constB113, bitIndex0))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15000,plain,
% 49.47/31.92 ((v26(constB113) | v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0))) <=> ((~v121(constB113, bitIndex0)) | v26(constB113) | v124(constB113, bitIndex0))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15001,plain,
% 49.47/31.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB113) | v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB113, bitIndex0)) | v26(constB113) | v124(constB113, bitIndex0)))),
% 49.47/31.92 inference(monotonicity,[status(thm)],[15000])).
% 49.47/31.92 tff(15002,plain,
% 49.47/31.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB113) | v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB113, bitIndex0)) | v26(constB113) | v124(constB113, bitIndex0))),
% 49.47/31.92 inference(transitivity,[status(thm)],[15001, 14999])).
% 49.47/31.92 tff(15003,plain,
% 49.47/31.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB113) | v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0)))),
% 49.47/31.92 inference(quant_inst,[status(thm)],[])).
% 49.47/31.92 tff(15004,plain,
% 49.47/31.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB113, bitIndex0)) | v26(constB113) | v124(constB113, bitIndex0)),
% 49.47/31.92 inference(modus_ponens,[status(thm)],[15003, 15002])).
% 49.47/31.92 tff(15005,plain,
% 49.47/31.92 ((~v121(constB113, bitIndex0)) | v124(constB113, bitIndex0)),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15004, 607, 14865])).
% 49.47/31.92 tff(15006,plain,
% 49.47/31.92 (~v121(constB113, bitIndex0)),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15005, 14998])).
% 49.47/31.92 tff(15007,plain,
% 49.47/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v121(constB113, bitIndex0) | (~v123(constB114, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v121(constB113, bitIndex0) | (~v123(constB114, bitIndex0)))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15008,plain,
% 49.47/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v121(constB113, bitIndex0) | (~v123(constB114, bitIndex0)))),
% 49.47/31.92 inference(quant_inst,[status(thm)],[])).
% 49.47/31.92 tff(15009,plain,
% 49.47/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v121(constB113, bitIndex0) | (~v123(constB114, bitIndex0))),
% 49.47/31.92 inference(modus_ponens,[status(thm)],[15008, 15007])).
% 49.47/31.92 tff(15010,plain,
% 49.47/31.92 (v121(constB113, bitIndex0) | (~v123(constB114, bitIndex0))),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15009, 637, 14880])).
% 49.47/31.92 tff(15011,plain,
% 49.47/31.92 (~v123(constB114, bitIndex0)),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15010, 15006])).
% 49.47/31.92 tff(15012,plain,
% 49.47/31.92 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0) | (~v94(constB114)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0) | (~v94(constB114)))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15013,plain,
% 49.47/31.92 (((~v84(constB114, bitIndex0)) | (~v94(constB114)) | v123(constB114, bitIndex0)) <=> ((~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0) | (~v94(constB114)))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15014,plain,
% 49.47/31.92 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | (~v94(constB114)) | v123(constB114, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0) | (~v94(constB114))))),
% 49.47/31.92 inference(monotonicity,[status(thm)],[15013])).
% 49.47/31.92 tff(15015,plain,
% 49.47/31.92 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | (~v94(constB114)) | v123(constB114, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0) | (~v94(constB114)))),
% 49.47/31.92 inference(transitivity,[status(thm)],[15014, 15012])).
% 49.47/31.92 tff(15016,plain,
% 49.47/31.92 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | (~v94(constB114)) | v123(constB114, bitIndex0))),
% 49.47/31.92 inference(quant_inst,[status(thm)],[])).
% 49.47/31.92 tff(15017,plain,
% 49.47/31.92 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0) | (~v94(constB114))),
% 49.47/31.92 inference(modus_ponens,[status(thm)],[15016, 15015])).
% 49.47/31.92 tff(15018,plain,
% 49.47/31.92 ((~v84(constB114, bitIndex0)) | (~v94(constB114))),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15017, 652, 15011])).
% 49.47/31.92 tff(15019,plain,
% 49.47/31.92 (~v84(constB114, bitIndex0)),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15018, 14914])).
% 49.47/31.92 tff(15020,plain,
% 49.47/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex0)))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15021,plain,
% 49.47/31.92 (((~nextState(constB114, constB115)) | v84(constB114, bitIndex0) | v94(constB115) | (~v84(constB115, bitIndex0))) <=> (v84(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex0)))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15022,plain,
% 49.47/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v84(constB114, bitIndex0) | v94(constB115) | (~v84(constB115, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex0))))),
% 49.47/31.92 inference(monotonicity,[status(thm)],[15021])).
% 49.47/31.92 tff(15023,plain,
% 49.47/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v84(constB114, bitIndex0) | v94(constB115) | (~v84(constB115, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex0)))),
% 49.47/31.92 inference(transitivity,[status(thm)],[15022, 15020])).
% 49.47/31.92 tff(15024,plain,
% 49.47/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v84(constB114, bitIndex0) | v94(constB115) | (~v84(constB115, bitIndex0)))),
% 49.47/31.92 inference(quant_inst,[status(thm)],[])).
% 49.47/31.92 tff(15025,plain,
% 49.47/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex0))),
% 49.47/31.92 inference(modus_ponens,[status(thm)],[15024, 15023])).
% 49.47/31.92 tff(15026,plain,
% 49.47/31.92 (v84(constB114, bitIndex0) | v94(constB115) | (~v84(constB115, bitIndex0))),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15025, 184, 14942])).
% 49.47/31.92 tff(15027,plain,
% 49.47/31.92 (v84(constB114, bitIndex0) | (~v84(constB115, bitIndex0))),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15026, 14954])).
% 49.47/31.92 tff(15028,plain,
% 49.47/31.92 (~v84(constB115, bitIndex0)),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15027, 15019])).
% 49.47/31.92 tff(15029,plain,
% 49.47/31.92 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)) | v119(constB115))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)) | v119(constB115))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15030,plain,
% 49.47/31.92 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)) | v119(constB115))),
% 49.47/31.92 inference(quant_inst,[status(thm)],[])).
% 49.47/31.92 tff(15031,plain,
% 49.47/31.92 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)) | v119(constB115)),
% 49.47/31.92 inference(modus_ponens,[status(thm)],[15030, 15029])).
% 49.47/31.92 tff(15032,plain,
% 49.47/31.92 (v119(constB115)),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15031, 965, 15028, 14994, 14963])).
% 49.47/31.92 tff(15033,plain,
% 49.47/31.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB115) | (~v119(constB115)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB115) | (~v119(constB115)))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15034,plain,
% 49.47/31.92 (((~v119(constB115)) | v107(constB115)) <=> (v107(constB115) | (~v119(constB115)))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15035,plain,
% 49.47/31.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB115)) | v107(constB115))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB115) | (~v119(constB115))))),
% 49.47/31.92 inference(monotonicity,[status(thm)],[15034])).
% 49.47/31.92 tff(15036,plain,
% 49.47/31.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB115)) | v107(constB115))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB115) | (~v119(constB115)))),
% 49.47/31.92 inference(transitivity,[status(thm)],[15035, 15033])).
% 49.47/31.92 tff(15037,plain,
% 49.47/31.92 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB115)) | v107(constB115))),
% 49.47/31.92 inference(quant_inst,[status(thm)],[])).
% 49.47/31.92 tff(15038,plain,
% 49.47/31.92 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB115) | (~v119(constB115))),
% 49.47/31.92 inference(modus_ponens,[status(thm)],[15037, 15036])).
% 49.47/31.92 tff(15039,plain,
% 49.47/31.92 (v107(constB115)),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15038, 976, 15032])).
% 49.47/31.92 tff(15040,assumption,(v26(constB115)), introduced(assumption)).
% 49.47/31.92 tff(15041,plain,
% 49.47/31.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB115))),
% 49.47/31.92 inference(quant_inst,[status(thm)],[])).
% 49.47/31.92 tff(15042,plain,
% 49.47/31.92 ($false),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15041, 55, 15040])).
% 49.47/31.92 tff(15043,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 49.47/31.92 tff(15044,plain,
% 49.47/31.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | v106(constB115) | (~v107(constB115)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15045,plain,
% 49.47/31.92 ((v26(constB115) | (~v107(constB115)) | v106(constB115)) <=> (v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15046,plain,
% 49.47/31.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | v106(constB115) | (~v107(constB115))))),
% 49.47/31.92 inference(monotonicity,[status(thm)],[15045])).
% 49.47/31.92 tff(15047,plain,
% 49.47/31.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 49.47/31.92 inference(transitivity,[status(thm)],[15046, 15044])).
% 49.47/31.92 tff(15048,plain,
% 49.47/31.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))),
% 49.47/31.92 inference(quant_inst,[status(thm)],[])).
% 49.47/31.92 tff(15049,plain,
% 49.47/31.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115))),
% 49.47/31.92 inference(modus_ponens,[status(thm)],[15048, 15047])).
% 49.47/31.92 tff(15050,plain,
% 49.47/31.92 (v106(constB115) | (~v107(constB115))),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15049, 348, 15043])).
% 49.47/31.92 tff(15051,plain,
% 49.47/31.92 (v106(constB115)),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15050, 15039])).
% 49.47/31.92 tff(15052,plain,
% 49.47/31.92 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB115) | (~v106(constB115)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB115) | (~v106(constB115)))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15053,plain,
% 49.47/31.92 (((~v106(constB115)) | v102(constB115)) <=> (v102(constB115) | (~v106(constB115)))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15054,plain,
% 49.47/31.92 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB115)) | v102(constB115))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB115) | (~v106(constB115))))),
% 49.47/31.92 inference(monotonicity,[status(thm)],[15053])).
% 49.47/31.92 tff(15055,plain,
% 49.47/31.92 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB115)) | v102(constB115))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB115) | (~v106(constB115)))),
% 49.47/31.92 inference(transitivity,[status(thm)],[15054, 15052])).
% 49.47/31.92 tff(15056,plain,
% 49.47/31.92 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB115)) | v102(constB115))),
% 49.47/31.92 inference(quant_inst,[status(thm)],[])).
% 49.47/31.92 tff(15057,plain,
% 49.47/31.92 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB115) | (~v106(constB115))),
% 49.47/31.92 inference(modus_ponens,[status(thm)],[15056, 15055])).
% 49.47/31.92 tff(15058,plain,
% 49.47/31.92 (v102(constB115)),
% 49.47/31.92 inference(unit_resolution,[status(thm)],[15057, 504, 15051])).
% 49.47/31.92 tff(15059,plain,
% 49.47/31.92 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15060,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 49.47/31.92 tff(15061,plain,
% 49.47/31.92 (nextState(constB115, constB116)),
% 49.47/31.92 inference(modus_ponens,[status(thm)],[15060, 15059])).
% 49.47/31.92 tff(15062,plain,
% 49.47/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 49.47/31.92 inference(rewrite,[status(thm)],[])).
% 49.47/31.92 tff(15063,plain,
% 49.47/31.93 (((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116)) <=> ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15064,plain,
% 49.47/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115))))),
% 49.47/31.93 inference(monotonicity,[status(thm)],[15063])).
% 49.47/31.93 tff(15065,plain,
% 49.47/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 49.47/31.93 inference(transitivity,[status(thm)],[15064, 15062])).
% 49.47/31.93 tff(15066,plain,
% 49.47/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))),
% 49.47/31.93 inference(quant_inst,[status(thm)],[])).
% 49.47/31.93 tff(15067,plain,
% 49.47/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115))),
% 49.47/31.93 inference(modus_ponens,[status(thm)],[15066, 15065])).
% 49.47/31.93 tff(15068,plain,
% 49.47/31.93 (v104(constB116) | (~v102(constB115))),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15067, 489, 15061])).
% 49.47/31.93 tff(15069,plain,
% 49.47/31.93 (v104(constB116)),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15068, 15058])).
% 49.47/31.93 tff(15070,plain,
% 49.47/31.93 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15071,plain,
% 49.47/31.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))),
% 49.47/31.93 inference(quant_inst,[status(thm)],[])).
% 49.47/31.93 tff(15072,plain,
% 49.47/31.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116))),
% 49.47/31.93 inference(modus_ponens,[status(thm)],[15071, 15070])).
% 49.47/31.93 tff(15073,plain,
% 49.47/31.93 (~v98(constB116)),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15072, 423, 15061, 14939])).
% 49.47/31.93 tff(15074,plain,
% 49.47/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15075,plain,
% 49.47/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))),
% 49.47/31.93 inference(quant_inst,[status(thm)],[])).
% 49.47/31.93 tff(15076,plain,
% 49.47/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB115, constB116)) | v96(constB116) | v98(constB116)),
% 49.47/31.93 inference(modus_ponens,[status(thm)],[15075, 15074])).
% 49.47/31.93 tff(15077,plain,
% 49.47/31.93 (v96(constB116) | v98(constB116)),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15076, 437, 15061])).
% 49.47/31.93 tff(15078,plain,
% 49.47/31.93 (v96(constB116)),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15077, 15073])).
% 49.47/31.93 tff(15079,plain,
% 49.47/31.93 (v1(constB116) <=> v1(constB116)),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15080,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 49.47/31.93 tff(15081,plain,
% 49.47/31.93 (v1(constB116)),
% 49.47/31.93 inference(modus_ponens,[status(thm)],[15080, 15079])).
% 49.47/31.93 tff(15082,plain,
% 49.47/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15083,plain,
% 49.47/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))),
% 49.47/31.93 inference(quant_inst,[status(thm)],[])).
% 49.47/31.93 tff(15084,plain,
% 49.47/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116))),
% 49.47/31.93 inference(modus_ponens,[status(thm)],[15083, 15082])).
% 49.47/31.93 tff(15085,plain,
% 49.47/31.93 (v95(constB116) | (~v96(constB116))),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15084, 455, 15061, 15081])).
% 49.47/31.93 tff(15086,plain,
% 49.47/31.93 (v95(constB116)),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15085, 15078])).
% 49.47/31.93 tff(15087,plain,
% 49.47/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15088,plain,
% 49.47/31.93 (((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116)) <=> ((~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15089,plain,
% 49.47/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116))))),
% 49.47/31.93 inference(monotonicity,[status(thm)],[15088])).
% 49.47/31.93 tff(15090,plain,
% 49.47/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))),
% 49.47/31.93 inference(transitivity,[status(thm)],[15089, 15087])).
% 49.47/31.93 tff(15091,plain,
% 49.47/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))),
% 49.47/31.93 inference(quant_inst,[status(thm)],[])).
% 49.47/31.93 tff(15092,plain,
% 49.47/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116))),
% 49.47/31.93 inference(modus_ponens,[status(thm)],[15091, 15090])).
% 49.47/31.93 tff(15093,plain,
% 49.47/31.93 (v94(constB116) | (~v95(constB116)) | (~v104(constB116))),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15092, 470, 15061])).
% 49.47/31.93 tff(15094,plain,
% 49.47/31.93 (v94(constB116) | (~v104(constB116))),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15093, 15086])).
% 49.47/31.93 tff(15095,plain,
% 49.47/31.93 (v94(constB116)),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15094, 15069])).
% 49.47/31.93 tff(15096,plain,
% 49.47/31.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB115)) | (~v84(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB115)) | (~v84(constB115, bitIndex2)))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15097,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB115)) | (~v84(constB115, bitIndex2)))),
% 49.47/31.93 inference(quant_inst,[status(thm)],[])).
% 49.47/31.93 tff(15098,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB115)) | (~v84(constB115, bitIndex2))),
% 49.47/31.93 inference(modus_ponens,[status(thm)],[15097, 15096])).
% 49.47/31.93 tff(15099,plain,
% 49.47/31.93 (~v115(constB115)),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15098, 1036, 14963])).
% 49.47/31.93 tff(15100,plain,
% 49.47/31.93 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB115)) | (~v84(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB115)) | (~v84(constB115, bitIndex1)))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15101,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB115)) | (~v84(constB115, bitIndex1)))),
% 49.47/31.93 inference(quant_inst,[status(thm)],[])).
% 49.47/31.93 tff(15102,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB115)) | (~v84(constB115, bitIndex1))),
% 49.47/31.93 inference(modus_ponens,[status(thm)],[15101, 15100])).
% 49.47/31.93 tff(15103,plain,
% 49.47/31.93 (~v118(constB115)),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15102, 1069, 14994])).
% 49.47/31.93 tff(15104,plain,
% 49.47/31.93 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB115)) | (~v84(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB115)) | (~v84(constB115, bitIndex1)))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15105,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB115)) | (~v84(constB115, bitIndex1)))),
% 49.47/31.93 inference(quant_inst,[status(thm)],[])).
% 49.47/31.93 tff(15106,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB115)) | (~v84(constB115, bitIndex1))),
% 49.47/31.93 inference(modus_ponens,[status(thm)],[15105, 15104])).
% 49.47/31.93 tff(15107,plain,
% 49.47/31.93 (~v113(constB115)),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15106, 1058, 14994])).
% 49.47/31.93 tff(15108,plain,
% 49.47/31.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB115)) | (~v84(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB115)) | (~v84(constB115, bitIndex2)))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15109,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB115)) | (~v84(constB115, bitIndex2)))),
% 49.47/31.93 inference(quant_inst,[status(thm)],[])).
% 49.47/31.93 tff(15110,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB115)) | (~v84(constB115, bitIndex2))),
% 49.47/31.93 inference(modus_ponens,[status(thm)],[15109, 15108])).
% 49.47/31.93 tff(15111,plain,
% 49.47/31.93 (~v116(constB115)),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15110, 1047, 14963])).
% 49.47/31.93 tff(15112,plain,
% 49.47/31.93 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB115)) | (~v84(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB115)) | (~v84(constB115, bitIndex1)))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15113,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB115)) | (~v84(constB115, bitIndex1)))),
% 49.47/31.93 inference(quant_inst,[status(thm)],[])).
% 49.47/31.93 tff(15114,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB115)) | (~v84(constB115, bitIndex1))),
% 49.47/31.93 inference(modus_ponens,[status(thm)],[15113, 15112])).
% 49.47/31.93 tff(15115,plain,
% 49.47/31.93 (~v172(constB115)),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15114, 1080, 14994])).
% 49.47/31.93 tff(15116,plain,
% 49.47/31.93 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB115)) | (~v84(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB115)) | (~v84(constB115, bitIndex1)))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15117,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB115)) | (~v84(constB115, bitIndex1)))),
% 49.47/31.93 inference(quant_inst,[status(thm)],[])).
% 49.47/31.93 tff(15118,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB115)) | (~v84(constB115, bitIndex1))),
% 49.47/31.93 inference(modus_ponens,[status(thm)],[15117, 15116])).
% 49.47/31.93 tff(15119,plain,
% 49.47/31.93 (~v145(constB115)),
% 49.47/31.93 inference(unit_resolution,[status(thm)],[15118, 1091, 14994])).
% 49.47/31.93 tff(15120,plain,
% 49.47/31.93 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB115) | (~v124(constB115, bitIndex2)) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB115) | (~v124(constB115, bitIndex2)) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15121,plain,
% 49.47/31.93 ((v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex2))) <=> (v145(constB115) | (~v124(constB115, bitIndex2)) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 49.47/31.93 inference(rewrite,[status(thm)],[])).
% 49.47/31.93 tff(15122,plain,
% 49.47/31.93 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB115) | (~v124(constB115, bitIndex2)) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115)))),
% 49.47/31.93 inference(monotonicity,[status(thm)],[15121])).
% 49.47/31.93 tff(15123,plain,
% 49.47/31.93 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB115) | (~v124(constB115, bitIndex2)) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 49.47/31.93 inference(transitivity,[status(thm)],[15122, 15120])).
% 49.47/31.93 tff(15124,plain,
% 49.47/31.93 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex2)))),
% 49.47/31.94 inference(quant_inst,[status(thm)],[])).
% 49.47/31.94 tff(15125,plain,
% 49.47/31.94 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB115) | (~v124(constB115, bitIndex2)) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115)),
% 49.47/31.94 inference(modus_ponens,[status(thm)],[15124, 15123])).
% 49.47/31.94 tff(15126,plain,
% 49.47/31.94 (~v124(constB115, bitIndex2)),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15125, 1170, 15119, 15115, 15111, 15107, 15103, 15099])).
% 49.47/31.94 tff(15127,plain,
% 49.47/31.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB115, bitIndex2)) | v26(constB115) | v124(constB115, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB115, bitIndex2)) | v26(constB115) | v124(constB115, bitIndex2))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15128,plain,
% 49.47/31.94 ((v26(constB115) | v124(constB115, bitIndex2) | (~v121(constB115, bitIndex2))) <=> ((~v121(constB115, bitIndex2)) | v26(constB115) | v124(constB115, bitIndex2))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15129,plain,
% 49.47/31.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB115) | v124(constB115, bitIndex2) | (~v121(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB115, bitIndex2)) | v26(constB115) | v124(constB115, bitIndex2)))),
% 49.47/31.94 inference(monotonicity,[status(thm)],[15128])).
% 49.47/31.94 tff(15130,plain,
% 49.47/31.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB115) | v124(constB115, bitIndex2) | (~v121(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB115, bitIndex2)) | v26(constB115) | v124(constB115, bitIndex2))),
% 49.47/31.94 inference(transitivity,[status(thm)],[15129, 15127])).
% 49.47/31.94 tff(15131,plain,
% 49.47/31.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB115) | v124(constB115, bitIndex2) | (~v121(constB115, bitIndex2)))),
% 49.47/31.94 inference(quant_inst,[status(thm)],[])).
% 49.47/31.94 tff(15132,plain,
% 49.47/31.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB115, bitIndex2)) | v26(constB115) | v124(constB115, bitIndex2)),
% 49.47/31.94 inference(modus_ponens,[status(thm)],[15131, 15130])).
% 49.47/31.94 tff(15133,plain,
% 49.47/31.94 ((~v121(constB115, bitIndex2)) | v124(constB115, bitIndex2)),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15132, 1187, 15043])).
% 49.47/31.94 tff(15134,plain,
% 49.47/31.94 (~v121(constB115, bitIndex2)),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15133, 15126])).
% 49.47/31.94 tff(15135,plain,
% 49.47/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex2) | (~v123(constB116, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex2) | (~v123(constB116, bitIndex2)))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15136,plain,
% 49.47/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex2) | (~v123(constB116, bitIndex2)))),
% 49.47/31.94 inference(quant_inst,[status(thm)],[])).
% 49.47/31.94 tff(15137,plain,
% 49.47/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex2) | (~v123(constB116, bitIndex2))),
% 49.47/31.94 inference(modus_ponens,[status(thm)],[15136, 15135])).
% 49.47/31.94 tff(15138,plain,
% 49.47/31.94 (v121(constB115, bitIndex2) | (~v123(constB116, bitIndex2))),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15137, 1205, 15061])).
% 49.47/31.94 tff(15139,plain,
% 49.47/31.94 (~v123(constB116, bitIndex2)),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15138, 15134])).
% 49.47/31.94 tff(15140,plain,
% 49.47/31.94 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2) | (~v94(constB116)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2) | (~v94(constB116)))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15141,plain,
% 49.47/31.94 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2) | (~v94(constB116)))),
% 49.47/31.94 inference(quant_inst,[status(thm)],[])).
% 49.47/31.94 tff(15142,plain,
% 49.47/31.94 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2) | (~v94(constB116))),
% 49.47/31.94 inference(modus_ponens,[status(thm)],[15141, 15140])).
% 49.47/31.94 tff(15143,plain,
% 49.47/31.94 ((~v84(constB116, bitIndex2)) | (~v94(constB116))),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15142, 1220, 15139])).
% 49.47/31.94 tff(15144,plain,
% 49.47/31.94 (~v84(constB116, bitIndex2)),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15143, 15095])).
% 49.47/31.94 tff(15145,plain,
% 49.47/31.94 ((~v1(constB117)) <=> (~v1(constB117))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15146,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 49.47/31.94 tff(15147,plain,
% 49.47/31.94 (~v1(constB117)),
% 49.47/31.94 inference(modus_ponens,[status(thm)],[15146, 15145])).
% 49.47/31.94 tff(15148,plain,
% 49.47/31.94 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15149,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 49.47/31.94 tff(15150,plain,
% 49.47/31.94 (nextState(constB116, constB117)),
% 49.47/31.94 inference(modus_ponens,[status(thm)],[15149, 15148])).
% 49.47/31.94 tff(15151,plain,
% 49.47/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15152,plain,
% 49.47/31.94 (((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15153,plain,
% 49.47/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117))))),
% 49.47/31.94 inference(monotonicity,[status(thm)],[15152])).
% 49.47/31.94 tff(15154,plain,
% 49.47/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 49.47/31.94 inference(transitivity,[status(thm)],[15153, 15151])).
% 49.47/31.94 tff(15155,plain,
% 49.47/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))),
% 49.47/31.94 inference(quant_inst,[status(thm)],[])).
% 49.47/31.94 tff(15156,plain,
% 49.47/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117))),
% 49.47/31.94 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 49.47/31.94 tff(15157,plain,
% 49.47/31.94 (~v95(constB117)),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15156, 110, 15150, 15147])).
% 49.47/31.94 tff(15158,plain,
% 49.47/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15159,plain,
% 49.47/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))),
% 49.47/31.94 inference(quant_inst,[status(thm)],[])).
% 49.47/31.94 tff(15160,plain,
% 49.47/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117))),
% 49.47/31.94 inference(modus_ponens,[status(thm)],[15159, 15158])).
% 49.47/31.94 tff(15161,plain,
% 49.47/31.94 (v95(constB117) | (~v94(constB117))),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15160, 127, 15150])).
% 49.47/31.94 tff(15162,plain,
% 49.47/31.94 (~v94(constB117)),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15161, 15157])).
% 49.47/31.94 tff(15163,plain,
% 49.47/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex2)))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15164,plain,
% 49.47/31.94 (((~nextState(constB116, constB117)) | v84(constB116, bitIndex2) | v94(constB117) | (~v84(constB117, bitIndex2))) <=> (v84(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex2)))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15165,plain,
% 49.47/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex2) | v94(constB117) | (~v84(constB117, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex2))))),
% 49.47/31.94 inference(monotonicity,[status(thm)],[15164])).
% 49.47/31.94 tff(15166,plain,
% 49.47/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex2) | v94(constB117) | (~v84(constB117, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex2)))),
% 49.47/31.94 inference(transitivity,[status(thm)],[15165, 15163])).
% 49.47/31.94 tff(15167,plain,
% 49.47/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex2) | v94(constB117) | (~v84(constB117, bitIndex2)))),
% 49.47/31.94 inference(quant_inst,[status(thm)],[])).
% 49.47/31.94 tff(15168,plain,
% 49.47/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex2))),
% 49.47/31.94 inference(modus_ponens,[status(thm)],[15167, 15166])).
% 49.47/31.94 tff(15169,plain,
% 49.47/31.94 (v84(constB116, bitIndex2) | v94(constB117) | (~v84(constB117, bitIndex2))),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15168, 142, 15150])).
% 49.47/31.94 tff(15170,plain,
% 49.47/31.94 (v84(constB116, bitIndex2) | (~v84(constB117, bitIndex2))),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15169, 15162])).
% 49.47/31.94 tff(15171,plain,
% 49.47/31.94 (~v84(constB117, bitIndex2)),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15170, 15144])).
% 49.47/31.94 tff(15172,assumption,(~v110(constB117)), introduced(assumption)).
% 49.47/31.94 tff(15173,plain,
% 49.47/31.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB117) | (~v116(constB117)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB117) | (~v116(constB117)))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15174,plain,
% 49.47/31.94 (((~v116(constB117)) | v110(constB117)) <=> (v110(constB117) | (~v116(constB117)))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15175,plain,
% 49.47/31.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB117)) | v110(constB117))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB117) | (~v116(constB117))))),
% 49.47/31.94 inference(monotonicity,[status(thm)],[15174])).
% 49.47/31.94 tff(15176,plain,
% 49.47/31.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB117)) | v110(constB117))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB117) | (~v116(constB117)))),
% 49.47/31.94 inference(transitivity,[status(thm)],[15175, 15173])).
% 49.47/31.94 tff(15177,plain,
% 49.47/31.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB117)) | v110(constB117))),
% 49.47/31.94 inference(quant_inst,[status(thm)],[])).
% 49.47/31.94 tff(15178,plain,
% 49.47/31.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB117) | (~v116(constB117))),
% 49.47/31.94 inference(modus_ponens,[status(thm)],[15177, 15176])).
% 49.47/31.94 tff(15179,plain,
% 49.47/31.94 (~v116(constB117)),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15178, 1836, 15172])).
% 49.47/31.94 tff(15180,plain,
% 49.47/31.94 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB117) | (~v111(constB117)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB117) | (~v111(constB117)))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15181,plain,
% 49.47/31.94 (((~v111(constB117)) | v110(constB117)) <=> (v110(constB117) | (~v111(constB117)))),
% 49.47/31.94 inference(rewrite,[status(thm)],[])).
% 49.47/31.94 tff(15182,plain,
% 49.47/31.94 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB117)) | v110(constB117))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB117) | (~v111(constB117))))),
% 49.47/31.94 inference(monotonicity,[status(thm)],[15181])).
% 49.47/31.94 tff(15183,plain,
% 49.47/31.94 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB117)) | v110(constB117))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB117) | (~v111(constB117)))),
% 49.47/31.94 inference(transitivity,[status(thm)],[15182, 15180])).
% 49.47/31.94 tff(15184,plain,
% 49.47/31.94 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB117)) | v110(constB117))),
% 49.47/31.94 inference(quant_inst,[status(thm)],[])).
% 49.47/31.94 tff(15185,plain,
% 49.47/31.94 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB117) | (~v111(constB117))),
% 49.47/31.94 inference(modus_ponens,[status(thm)],[15184, 15183])).
% 49.47/31.94 tff(15186,plain,
% 49.47/31.94 (~v111(constB117)),
% 49.47/31.94 inference(unit_resolution,[status(thm)],[15185, 292, 15172])).
% 49.47/31.94 tff(15187,plain,
% 49.47/31.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB117)) | v111(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB117)) | v111(constB117))),
% 49.47/31.95 inference(rewrite,[status(thm)],[])).
% 49.47/31.95 tff(15188,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB117)) | v111(constB117))),
% 49.47/31.95 inference(quant_inst,[status(thm)],[])).
% 49.47/31.95 tff(15189,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB117)) | v111(constB117)),
% 49.47/31.95 inference(modus_ponens,[status(thm)],[15188, 15187])).
% 49.47/31.95 tff(15190,plain,
% 49.47/31.95 (~v115(constB117)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15189, 1605, 15186])).
% 49.47/31.95 tff(15191,assumption,(~v84(constB117, bitIndex2)), introduced(assumption)).
% 49.47/31.95 tff(15192,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB117)) | v111(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB117)) | v111(constB117))),
% 49.47/31.95 inference(rewrite,[status(thm)],[])).
% 49.47/31.95 tff(15193,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB117)) | v111(constB117))),
% 49.47/31.95 inference(quant_inst,[status(thm)],[])).
% 49.47/31.95 tff(15194,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB117)) | v111(constB117)),
% 49.47/31.95 inference(modus_ponens,[status(thm)],[15193, 15192])).
% 49.47/31.95 tff(15195,plain,
% 49.47/31.95 (~v112(constB117)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15194, 278, 15186])).
% 49.47/31.95 tff(15196,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB117)) | v112(constB117))),
% 49.47/31.95 inference(rewrite,[status(thm)],[])).
% 49.47/31.95 tff(15197,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB117)) | v112(constB117))),
% 49.47/31.95 inference(quant_inst,[status(thm)],[])).
% 49.47/31.95 tff(15198,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB117)) | v112(constB117)),
% 49.47/31.95 inference(modus_ponens,[status(thm)],[15197, 15196])).
% 49.47/31.95 tff(15199,plain,
% 49.47/31.95 (~v113(constB117)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15198, 267, 15195])).
% 49.47/31.95 tff(15200,assumption,(~v113(constB117)), introduced(assumption)).
% 49.47/31.95 tff(15201,assumption,(~v84(constB117, bitIndex0)), introduced(assumption)).
% 49.47/31.95 tff(15202,assumption,(~v115(constB117)), introduced(assumption)).
% 49.47/31.95 tff(15203,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v115(constB117))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v115(constB117))),
% 49.47/31.95 inference(rewrite,[status(thm)],[])).
% 49.47/31.95 tff(15204,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v115(constB117))),
% 49.47/31.95 inference(quant_inst,[status(thm)],[])).
% 49.47/31.95 tff(15205,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v115(constB117)),
% 49.47/31.95 inference(modus_ponens,[status(thm)],[15204, 15203])).
% 49.47/31.95 tff(15206,plain,
% 49.47/31.95 (v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | v115(constB117)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15205, 1594, 15191])).
% 49.47/31.95 tff(15207,plain,
% 49.47/31.95 (~v84(constB117, bitIndex1)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15206, 15201, 15202])).
% 49.47/31.95 tff(15208,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v113(constB117))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v113(constB117))),
% 49.47/31.95 inference(rewrite,[status(thm)],[])).
% 49.47/31.95 tff(15209,plain,
% 49.47/31.95 ((v84(constB117, bitIndex0) | v113(constB117) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2)) <=> (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v113(constB117))),
% 49.47/31.95 inference(rewrite,[status(thm)],[])).
% 49.47/31.95 tff(15210,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB117, bitIndex0) | v113(constB117) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v113(constB117)))),
% 49.47/31.95 inference(monotonicity,[status(thm)],[15209])).
% 49.47/31.95 tff(15211,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB117, bitIndex0) | v113(constB117) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v113(constB117))),
% 49.47/31.95 inference(transitivity,[status(thm)],[15210, 15208])).
% 49.47/31.95 tff(15212,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB117, bitIndex0) | v113(constB117) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2))),
% 49.47/31.95 inference(quant_inst,[status(thm)],[])).
% 49.47/31.95 tff(15213,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v113(constB117)),
% 49.47/31.95 inference(modus_ponens,[status(thm)],[15212, 15211])).
% 49.47/31.95 tff(15214,plain,
% 49.47/31.95 (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v113(constB117)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15213, 205, 15191])).
% 49.47/31.95 tff(15215,plain,
% 49.47/31.95 ($false),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15214, 15207, 15201, 15200])).
% 49.47/31.95 tff(15216,plain,(v84(constB117, bitIndex0) | v113(constB117) | v84(constB117, bitIndex2) | v115(constB117)), inference(lemma,lemma(discharge,[]))).
% 49.47/31.95 tff(15217,plain,
% 49.47/31.95 (v84(constB117, bitIndex0)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15216, 15199, 15191, 15190])).
% 49.47/31.95 tff(15218,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB117) | (~v145(constB117)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB117) | (~v145(constB117)))),
% 49.47/31.95 inference(rewrite,[status(thm)],[])).
% 49.47/31.95 tff(15219,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB117) | (~v145(constB117)))),
% 49.47/31.95 inference(quant_inst,[status(thm)],[])).
% 49.47/31.95 tff(15220,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB117) | (~v145(constB117))),
% 49.47/31.95 inference(modus_ponens,[status(thm)],[15219, 15218])).
% 49.47/31.95 tff(15221,plain,
% 49.47/31.95 (~v145(constB117)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15220, 1253, 15195])).
% 49.47/31.95 tff(15222,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v145(constB117))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v145(constB117))),
% 49.47/31.95 inference(rewrite,[status(thm)],[])).
% 49.47/31.95 tff(15223,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v145(constB117))),
% 49.47/31.95 inference(quant_inst,[status(thm)],[])).
% 49.47/31.95 tff(15224,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v145(constB117)),
% 49.47/31.95 inference(modus_ponens,[status(thm)],[15223, 15222])).
% 49.47/31.95 tff(15225,plain,
% 49.47/31.95 ((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v145(constB117)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15224, 1268, 15191])).
% 49.47/31.95 tff(15226,plain,
% 49.47/31.95 (v84(constB117, bitIndex1)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15225, 15217, 15221])).
% 49.47/31.95 tff(15227,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v116(constB117))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v116(constB117))),
% 49.47/31.95 inference(rewrite,[status(thm)],[])).
% 49.47/31.95 tff(15228,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v116(constB117))),
% 49.47/31.95 inference(quant_inst,[status(thm)],[])).
% 49.47/31.95 tff(15229,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v116(constB117)),
% 49.47/31.95 inference(modus_ponens,[status(thm)],[15228, 15227])).
% 49.47/31.95 tff(15230,plain,
% 49.47/31.95 ((~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v116(constB117)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15229, 1825, 15191])).
% 49.47/31.95 tff(15231,plain,
% 49.47/31.95 ($false),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15230, 15226, 15217, 15179])).
% 49.47/31.95 tff(15232,plain,(v110(constB117) | v84(constB117, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.47/31.95 tff(15233,plain,
% 49.47/31.95 (v110(constB117)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15232, 15171])).
% 49.47/31.95 tff(15234,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB117) | (~v110(constB117)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB117) | (~v110(constB117)))),
% 49.47/31.95 inference(rewrite,[status(thm)],[])).
% 49.47/31.95 tff(15235,plain,
% 49.47/31.95 (((~v110(constB117)) | v109(constB117)) <=> (v109(constB117) | (~v110(constB117)))),
% 49.47/31.95 inference(rewrite,[status(thm)],[])).
% 49.47/31.95 tff(15236,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB117)) | v109(constB117))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB117) | (~v110(constB117))))),
% 49.47/31.95 inference(monotonicity,[status(thm)],[15235])).
% 49.47/31.95 tff(15237,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB117)) | v109(constB117))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB117) | (~v110(constB117)))),
% 49.47/31.95 inference(transitivity,[status(thm)],[15236, 15234])).
% 49.47/31.95 tff(15238,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB117)) | v109(constB117))),
% 49.47/31.95 inference(quant_inst,[status(thm)],[])).
% 49.47/31.95 tff(15239,plain,
% 49.47/31.95 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB117) | (~v110(constB117))),
% 49.47/31.95 inference(modus_ponens,[status(thm)],[15238, 15237])).
% 49.47/31.95 tff(15240,plain,
% 49.47/31.95 (v109(constB117)),
% 49.47/31.95 inference(unit_resolution,[status(thm)],[15239, 306, 15233])).
% 49.47/31.95 tff(15241,plain,
% 49.47/31.95 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB117)) | v108(constB117))),
% 49.51/31.95 inference(rewrite,[status(thm)],[])).
% 49.51/31.95 tff(15242,plain,
% 49.51/31.95 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB117)) | v108(constB117))),
% 49.51/31.95 inference(quant_inst,[status(thm)],[])).
% 49.51/31.95 tff(15243,plain,
% 49.51/31.95 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB117)) | v108(constB117)),
% 49.51/31.95 inference(modus_ponens,[status(thm)],[15242, 15241])).
% 49.51/31.95 tff(15244,plain,
% 49.51/31.95 (v108(constB117)),
% 49.51/31.95 inference(unit_resolution,[status(thm)],[15243, 320, 15240])).
% 49.51/31.95 tff(15245,plain,
% 49.51/31.95 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB117) | (~v108(constB117)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB117) | (~v108(constB117)))),
% 49.51/31.95 inference(rewrite,[status(thm)],[])).
% 49.51/31.95 tff(15246,plain,
% 49.51/31.95 (((~v108(constB117)) | v107(constB117)) <=> (v107(constB117) | (~v108(constB117)))),
% 49.51/31.95 inference(rewrite,[status(thm)],[])).
% 49.51/31.95 tff(15247,plain,
% 49.51/31.95 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB117)) | v107(constB117))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB117) | (~v108(constB117))))),
% 49.51/31.95 inference(monotonicity,[status(thm)],[15246])).
% 49.51/31.95 tff(15248,plain,
% 49.51/31.95 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB117)) | v107(constB117))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB117) | (~v108(constB117)))),
% 49.51/31.95 inference(transitivity,[status(thm)],[15247, 15245])).
% 49.51/31.95 tff(15249,plain,
% 49.51/31.95 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB117)) | v107(constB117))),
% 49.51/31.95 inference(quant_inst,[status(thm)],[])).
% 49.51/31.95 tff(15250,plain,
% 49.51/31.95 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB117) | (~v108(constB117))),
% 49.51/31.95 inference(modus_ponens,[status(thm)],[15249, 15248])).
% 49.51/31.95 tff(15251,plain,
% 49.51/31.95 (v107(constB117)),
% 49.51/31.95 inference(unit_resolution,[status(thm)],[15250, 334, 15244])).
% 49.51/31.95 tff(15252,assumption,(v26(constB117)), introduced(assumption)).
% 49.51/31.95 tff(15253,plain,
% 49.51/31.95 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB117))),
% 49.51/31.95 inference(quant_inst,[status(thm)],[])).
% 49.51/31.95 tff(15254,plain,
% 49.51/31.95 ($false),
% 49.51/31.95 inference(unit_resolution,[status(thm)],[15253, 55, 15252])).
% 49.51/31.95 tff(15255,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 49.51/31.95 tff(15256,plain,
% 49.51/31.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | (~v107(constB117)) | v106(constB117))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB117) | (~v107(constB117)) | v106(constB117))),
% 49.51/31.95 inference(rewrite,[status(thm)],[])).
% 49.51/31.95 tff(15257,plain,
% 49.51/31.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | (~v107(constB117)) | v106(constB117))),
% 49.51/31.95 inference(quant_inst,[status(thm)],[])).
% 49.51/31.95 tff(15258,plain,
% 49.51/31.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB117) | (~v107(constB117)) | v106(constB117)),
% 49.51/31.95 inference(modus_ponens,[status(thm)],[15257, 15256])).
% 49.51/31.95 tff(15259,plain,
% 49.51/31.95 ((~v107(constB117)) | v106(constB117)),
% 49.51/31.95 inference(unit_resolution,[status(thm)],[15258, 348, 15255])).
% 49.51/31.95 tff(15260,plain,
% 49.51/31.95 (v106(constB117)),
% 49.51/31.95 inference(unit_resolution,[status(thm)],[15259, 15251])).
% 49.51/31.95 tff(15261,plain,
% 49.51/31.95 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB117) | (~v106(constB117)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB117) | (~v106(constB117)))),
% 49.51/31.95 inference(rewrite,[status(thm)],[])).
% 49.51/31.95 tff(15262,plain,
% 49.51/31.95 (((~v106(constB117)) | v102(constB117)) <=> (v102(constB117) | (~v106(constB117)))),
% 49.51/31.95 inference(rewrite,[status(thm)],[])).
% 49.51/31.95 tff(15263,plain,
% 49.51/31.95 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB117)) | v102(constB117))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB117) | (~v106(constB117))))),
% 49.51/31.95 inference(monotonicity,[status(thm)],[15262])).
% 49.51/31.95 tff(15264,plain,
% 49.51/31.95 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB117)) | v102(constB117))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB117) | (~v106(constB117)))),
% 49.51/31.95 inference(transitivity,[status(thm)],[15263, 15261])).
% 49.51/31.95 tff(15265,plain,
% 49.51/31.95 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB117)) | v102(constB117))),
% 49.51/31.95 inference(quant_inst,[status(thm)],[])).
% 49.51/31.95 tff(15266,plain,
% 49.51/31.95 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB117) | (~v106(constB117))),
% 49.51/31.95 inference(modus_ponens,[status(thm)],[15265, 15264])).
% 49.51/31.95 tff(15267,plain,
% 49.51/31.95 (v102(constB117)),
% 49.51/31.95 inference(unit_resolution,[status(thm)],[15266, 504, 15260])).
% 49.51/31.95 tff(15268,plain,
% 49.51/31.95 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 49.51/31.95 inference(rewrite,[status(thm)],[])).
% 49.51/31.95 tff(15269,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 49.51/31.95 tff(15270,plain,
% 49.51/31.95 (nextState(constB117, constB118)),
% 49.51/31.95 inference(modus_ponens,[status(thm)],[15269, 15268])).
% 49.51/31.95 tff(15271,plain,
% 49.51/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 49.51/31.95 inference(rewrite,[status(thm)],[])).
% 49.51/31.95 tff(15272,plain,
% 49.51/31.95 (((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118)) <=> ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 49.51/31.95 inference(rewrite,[status(thm)],[])).
% 49.51/31.95 tff(15273,plain,
% 49.51/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117))))),
% 49.51/31.95 inference(monotonicity,[status(thm)],[15272])).
% 49.51/31.95 tff(15274,plain,
% 49.51/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 49.51/31.95 inference(transitivity,[status(thm)],[15273, 15271])).
% 49.51/31.95 tff(15275,plain,
% 49.51/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))),
% 49.51/31.95 inference(quant_inst,[status(thm)],[])).
% 49.51/31.95 tff(15276,plain,
% 49.51/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117))),
% 49.51/31.95 inference(modus_ponens,[status(thm)],[15275, 15274])).
% 49.51/31.95 tff(15277,plain,
% 49.51/31.95 (v104(constB118) | (~v102(constB117))),
% 49.51/31.95 inference(unit_resolution,[status(thm)],[15276, 489, 15270])).
% 49.51/31.95 tff(15278,plain,
% 49.51/31.95 (v104(constB118)),
% 49.51/31.95 inference(unit_resolution,[status(thm)],[15277, 15267])).
% 49.51/31.95 tff(15279,plain,
% 49.51/31.95 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))),
% 49.51/31.95 inference(rewrite,[status(thm)],[])).
% 49.51/31.95 tff(15280,plain,
% 49.51/31.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))),
% 49.51/31.96 inference(quant_inst,[status(thm)],[])).
% 49.51/31.96 tff(15281,plain,
% 49.51/31.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118))),
% 49.51/31.96 inference(modus_ponens,[status(thm)],[15280, 15279])).
% 49.51/31.96 tff(15282,plain,
% 49.51/31.96 (~v98(constB118)),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15281, 423, 15270, 15147])).
% 49.51/31.96 tff(15283,plain,
% 49.51/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))),
% 49.51/31.96 inference(rewrite,[status(thm)],[])).
% 49.51/31.96 tff(15284,plain,
% 49.51/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))),
% 49.51/31.96 inference(quant_inst,[status(thm)],[])).
% 49.51/31.96 tff(15285,plain,
% 49.51/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB117, constB118)) | v96(constB118) | v98(constB118)),
% 49.51/31.96 inference(modus_ponens,[status(thm)],[15284, 15283])).
% 49.51/31.96 tff(15286,plain,
% 49.51/31.96 (v96(constB118) | v98(constB118)),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15285, 437, 15270])).
% 49.51/31.96 tff(15287,plain,
% 49.51/31.96 (v96(constB118)),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15286, 15282])).
% 49.51/31.96 tff(15288,plain,
% 49.51/31.96 (v1(constB118) <=> v1(constB118)),
% 49.51/31.96 inference(rewrite,[status(thm)],[])).
% 49.51/31.96 tff(15289,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 49.51/31.96 tff(15290,plain,
% 49.51/31.96 (v1(constB118)),
% 49.51/31.96 inference(modus_ponens,[status(thm)],[15289, 15288])).
% 49.51/31.96 tff(15291,plain,
% 49.51/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))),
% 49.51/31.96 inference(rewrite,[status(thm)],[])).
% 49.51/31.96 tff(15292,plain,
% 49.51/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))),
% 49.51/31.96 inference(quant_inst,[status(thm)],[])).
% 49.51/31.96 tff(15293,plain,
% 49.51/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118))),
% 49.51/31.96 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 49.51/31.96 tff(15294,plain,
% 49.51/31.96 (v95(constB118) | (~v96(constB118))),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15293, 455, 15270, 15290])).
% 49.51/31.96 tff(15295,plain,
% 49.51/31.96 (v95(constB118)),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15294, 15287])).
% 49.51/31.96 tff(15296,plain,
% 49.51/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))),
% 49.51/31.96 inference(rewrite,[status(thm)],[])).
% 49.51/31.96 tff(15297,plain,
% 49.51/31.96 (((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118)) <=> ((~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))),
% 49.51/31.96 inference(rewrite,[status(thm)],[])).
% 49.51/31.96 tff(15298,plain,
% 49.51/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118))))),
% 49.51/31.96 inference(monotonicity,[status(thm)],[15297])).
% 49.51/31.96 tff(15299,plain,
% 49.51/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))),
% 49.51/31.96 inference(transitivity,[status(thm)],[15298, 15296])).
% 49.51/31.96 tff(15300,plain,
% 49.51/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))),
% 49.51/31.96 inference(quant_inst,[status(thm)],[])).
% 49.51/31.96 tff(15301,plain,
% 49.51/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118))),
% 49.51/31.96 inference(modus_ponens,[status(thm)],[15300, 15299])).
% 49.51/31.96 tff(15302,plain,
% 49.51/31.96 (v94(constB118) | (~v95(constB118)) | (~v104(constB118))),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15301, 470, 15270])).
% 49.51/31.96 tff(15303,plain,
% 49.51/31.96 (v94(constB118) | (~v104(constB118))),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15302, 15295])).
% 49.51/31.96 tff(15304,plain,
% 49.51/31.96 (v94(constB118)),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15303, 15278])).
% 49.51/31.96 tff(15305,plain,
% 49.51/31.96 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB115) | (~v124(constB115, bitIndex1)) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB115) | (~v124(constB115, bitIndex1)) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 49.51/31.96 inference(rewrite,[status(thm)],[])).
% 49.51/31.96 tff(15306,plain,
% 49.51/31.96 ((v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex1))) <=> (v145(constB115) | (~v124(constB115, bitIndex1)) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 49.51/31.96 inference(rewrite,[status(thm)],[])).
% 49.51/31.96 tff(15307,plain,
% 49.51/31.96 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB115) | (~v124(constB115, bitIndex1)) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115)))),
% 49.51/31.96 inference(monotonicity,[status(thm)],[15306])).
% 49.51/31.96 tff(15308,plain,
% 49.51/31.96 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB115) | (~v124(constB115, bitIndex1)) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 49.51/31.96 inference(transitivity,[status(thm)],[15307, 15305])).
% 49.51/31.96 tff(15309,plain,
% 49.51/31.96 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex1)))),
% 49.51/31.96 inference(quant_inst,[status(thm)],[])).
% 49.51/31.96 tff(15310,plain,
% 49.51/31.96 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB115) | (~v124(constB115, bitIndex1)) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115)),
% 49.51/31.96 inference(modus_ponens,[status(thm)],[15309, 15308])).
% 49.51/31.96 tff(15311,plain,
% 49.51/31.96 (~v124(constB115, bitIndex1)),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15310, 1105, 15119, 15115, 15111, 15107, 15103, 15099])).
% 49.51/31.96 tff(15312,plain,
% 49.51/31.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))),
% 49.51/31.96 inference(rewrite,[status(thm)],[])).
% 49.51/31.96 tff(15313,plain,
% 49.51/31.96 ((v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1))) <=> ((~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))),
% 49.51/31.96 inference(rewrite,[status(thm)],[])).
% 49.51/31.96 tff(15314,plain,
% 49.51/31.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1)))),
% 49.51/31.96 inference(monotonicity,[status(thm)],[15313])).
% 49.51/31.96 tff(15315,plain,
% 49.51/31.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))),
% 49.51/31.96 inference(transitivity,[status(thm)],[15314, 15312])).
% 49.51/31.96 tff(15316,plain,
% 49.51/31.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))),
% 49.51/31.96 inference(quant_inst,[status(thm)],[])).
% 49.51/31.96 tff(15317,plain,
% 49.51/31.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1)),
% 49.51/31.96 inference(modus_ponens,[status(thm)],[15316, 15315])).
% 49.51/31.96 tff(15318,plain,
% 49.51/31.96 ((~v121(constB115, bitIndex1)) | v124(constB115, bitIndex1)),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15317, 233, 15043])).
% 49.51/31.96 tff(15319,plain,
% 49.51/31.96 (~v121(constB115, bitIndex1)),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15318, 15311])).
% 49.51/31.96 tff(15320,plain,
% 49.51/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1)))),
% 49.51/31.96 inference(rewrite,[status(thm)],[])).
% 49.51/31.96 tff(15321,plain,
% 49.51/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1)))),
% 49.51/31.96 inference(quant_inst,[status(thm)],[])).
% 49.51/31.96 tff(15322,plain,
% 49.51/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1))),
% 49.51/31.96 inference(modus_ponens,[status(thm)],[15321, 15320])).
% 49.51/31.96 tff(15323,plain,
% 49.51/31.96 (v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1))),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15322, 254, 15061])).
% 49.51/31.96 tff(15324,plain,
% 49.51/31.96 (~v123(constB116, bitIndex1)),
% 49.51/31.96 inference(unit_resolution,[status(thm)],[15323, 15319])).
% 49.51/31.97 tff(15325,plain,
% 49.51/31.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))),
% 49.51/31.97 inference(rewrite,[status(thm)],[])).
% 49.51/31.97 tff(15326,plain,
% 49.51/31.97 (((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1)) <=> ((~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))),
% 49.51/31.97 inference(rewrite,[status(thm)],[])).
% 49.51/31.97 tff(15327,plain,
% 49.51/31.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116))))),
% 49.51/31.97 inference(monotonicity,[status(thm)],[15326])).
% 49.51/31.97 tff(15328,plain,
% 49.51/31.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))),
% 49.51/31.97 inference(transitivity,[status(thm)],[15327, 15325])).
% 49.51/31.97 tff(15329,plain,
% 49.51/31.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1))),
% 49.51/31.97 inference(quant_inst,[status(thm)],[])).
% 49.51/31.97 tff(15330,plain,
% 49.51/31.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116))),
% 49.51/31.97 inference(modus_ponens,[status(thm)],[15329, 15328])).
% 49.51/31.97 tff(15331,plain,
% 49.51/31.97 ((~v84(constB116, bitIndex1)) | (~v94(constB116))),
% 49.51/31.97 inference(unit_resolution,[status(thm)],[15330, 532, 15324])).
% 49.51/31.97 tff(15332,plain,
% 49.51/31.97 (~v84(constB116, bitIndex1)),
% 49.51/31.97 inference(unit_resolution,[status(thm)],[15331, 15095])).
% 49.51/31.97 tff(15333,plain,
% 49.51/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 49.51/31.97 inference(rewrite,[status(thm)],[])).
% 49.51/31.97 tff(15334,plain,
% 49.51/31.97 (((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1))) <=> (v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 49.51/31.97 inference(rewrite,[status(thm)],[])).
% 49.51/31.97 tff(15335,plain,
% 49.51/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1))))),
% 49.51/31.97 inference(monotonicity,[status(thm)],[15334])).
% 49.51/31.97 tff(15336,plain,
% 49.51/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 49.51/31.97 inference(transitivity,[status(thm)],[15335, 15333])).
% 49.51/31.97 tff(15337,plain,
% 49.51/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 49.51/31.97 inference(quant_inst,[status(thm)],[])).
% 49.51/31.97 tff(15338,plain,
% 49.51/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1))),
% 49.51/31.97 inference(modus_ponens,[status(thm)],[15337, 15336])).
% 49.51/31.97 tff(15339,plain,
% 49.51/31.97 (v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1))),
% 49.51/31.97 inference(unit_resolution,[status(thm)],[15338, 163, 15150])).
% 49.51/31.97 tff(15340,plain,
% 49.51/31.97 (v84(constB116, bitIndex1) | (~v84(constB117, bitIndex1))),
% 49.51/31.97 inference(unit_resolution,[status(thm)],[15339, 15162])).
% 49.51/31.97 tff(15341,plain,
% 49.51/31.97 (~v84(constB117, bitIndex1)),
% 49.51/31.97 inference(unit_resolution,[status(thm)],[15340, 15332])).
% 49.51/31.97 tff(15342,plain,
% 49.51/31.97 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB115) | v124(constB115, bitIndex0) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB115) | v124(constB115, bitIndex0) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 49.51/31.97 inference(rewrite,[status(thm)],[])).
% 49.51/31.97 tff(15343,plain,
% 49.51/31.97 ((v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | v124(constB115, bitIndex0)) <=> (v145(constB115) | v124(constB115, bitIndex0) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 49.51/31.97 inference(rewrite,[status(thm)],[])).
% 49.51/31.97 tff(15344,plain,
% 49.51/31.97 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | v124(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB115) | v124(constB115, bitIndex0) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115)))),
% 49.51/31.97 inference(monotonicity,[status(thm)],[15343])).
% 49.51/31.97 tff(15345,plain,
% 49.51/31.97 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | v124(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB115) | v124(constB115, bitIndex0) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 49.51/31.97 inference(transitivity,[status(thm)],[15344, 15342])).
% 49.51/31.97 tff(15346,plain,
% 49.51/31.97 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | v124(constB115, bitIndex0))),
% 49.51/31.97 inference(quant_inst,[status(thm)],[])).
% 49.51/31.97 tff(15347,plain,
% 49.51/31.97 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB115) | v124(constB115, bitIndex0) | v115(constB115) | v113(constB115) | v116(constB115) | v172(constB115) | v118(constB115)),
% 49.51/31.97 inference(modus_ponens,[status(thm)],[15346, 15345])).
% 49.51/31.97 tff(15348,plain,
% 49.51/31.97 (v124(constB115, bitIndex0)),
% 49.51/31.97 inference(unit_resolution,[status(thm)],[15347, 1374, 15119, 15115, 15111, 15107, 15103, 15099])).
% 49.51/31.97 tff(15349,plain,
% 49.51/31.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB115) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB115) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0))),
% 49.51/31.97 inference(rewrite,[status(thm)],[])).
% 49.51/31.97 tff(15350,plain,
% 49.51/31.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB115) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0))),
% 49.51/31.97 inference(quant_inst,[status(thm)],[])).
% 49.51/31.97 tff(15351,plain,
% 49.51/31.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB115) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0)),
% 49.51/31.97 inference(modus_ponens,[status(thm)],[15350, 15349])).
% 49.51/31.97 tff(15352,plain,
% 49.51/31.97 ((~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0)),
% 49.51/31.97 inference(unit_resolution,[status(thm)],[15351, 1391, 15043])).
% 49.51/31.97 tff(15353,plain,
% 49.51/31.97 (v121(constB115, bitIndex0)),
% 49.51/31.97 inference(unit_resolution,[status(thm)],[15352, 15348])).
% 49.51/31.97 tff(15354,plain,
% 49.51/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v121(constB115, bitIndex0)) | v123(constB116, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB115, constB116)) | (~v121(constB115, bitIndex0)) | v123(constB116, bitIndex0))),
% 49.51/31.97 inference(rewrite,[status(thm)],[])).
% 49.51/31.97 tff(15355,plain,
% 49.51/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v121(constB115, bitIndex0)) | v123(constB116, bitIndex0))),
% 49.51/31.97 inference(quant_inst,[status(thm)],[])).
% 49.51/31.97 tff(15356,plain,
% 49.51/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB115, constB116)) | (~v121(constB115, bitIndex0)) | v123(constB116, bitIndex0)),
% 49.51/31.97 inference(modus_ponens,[status(thm)],[15355, 15354])).
% 49.51/31.97 tff(15357,plain,
% 49.51/31.97 ((~v121(constB115, bitIndex0)) | v123(constB116, bitIndex0)),
% 49.51/31.97 inference(unit_resolution,[status(thm)],[15356, 1406, 15061])).
% 49.51/31.97 tff(15358,plain,
% 49.51/31.97 (v123(constB116, bitIndex0)),
% 49.51/31.97 inference(unit_resolution,[status(thm)],[15357, 15353])).
% 49.51/31.97 tff(15359,plain,
% 49.51/31.97 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)) | (~v94(constB116)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)) | (~v94(constB116)))),
% 49.51/31.97 inference(rewrite,[status(thm)],[])).
% 49.51/31.97 tff(15360,plain,
% 49.51/31.97 ((v84(constB116, bitIndex0) | (~v94(constB116)) | (~v123(constB116, bitIndex0))) <=> (v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)) | (~v94(constB116)))),
% 49.51/31.97 inference(rewrite,[status(thm)],[])).
% 49.51/31.97 tff(15361,plain,
% 49.51/31.97 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~v94(constB116)) | (~v123(constB116, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)) | (~v94(constB116))))),
% 49.51/31.97 inference(monotonicity,[status(thm)],[15360])).
% 49.51/31.97 tff(15362,plain,
% 49.51/31.97 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~v94(constB116)) | (~v123(constB116, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)) | (~v94(constB116)))),
% 49.51/31.97 inference(transitivity,[status(thm)],[15361, 15359])).
% 49.51/31.97 tff(15363,plain,
% 49.51/31.97 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~v94(constB116)) | (~v123(constB116, bitIndex0)))),
% 49.51/31.97 inference(quant_inst,[status(thm)],[])).
% 49.51/31.97 tff(15364,plain,
% 49.51/31.97 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)) | (~v94(constB116))),
% 49.51/31.97 inference(modus_ponens,[status(thm)],[15363, 15362])).
% 49.51/31.97 tff(15365,plain,
% 49.51/31.97 (v84(constB116, bitIndex0) | (~v94(constB116))),
% 49.51/31.97 inference(unit_resolution,[status(thm)],[15364, 1421, 15358])).
% 49.51/31.97 tff(15366,plain,
% 49.51/31.97 (v84(constB116, bitIndex0)),
% 49.51/31.97 inference(unit_resolution,[status(thm)],[15365, 15095])).
% 49.51/31.97 tff(15367,plain,
% 49.51/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex0))),
% 49.51/31.97 inference(rewrite,[status(thm)],[])).
% 49.51/31.97 tff(15368,plain,
% 49.51/31.97 (((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex0)) | v94(constB117) | v84(constB117, bitIndex0)) <=> ((~v84(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex0))),
% 49.51/31.97 inference(rewrite,[status(thm)],[])).
% 49.51/31.97 tff(15369,plain,
% 49.51/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex0)) | v94(constB117) | v84(constB117, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex0)))),
% 49.51/31.97 inference(monotonicity,[status(thm)],[15368])).
% 49.51/31.97 tff(15370,plain,
% 49.51/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex0)) | v94(constB117) | v84(constB117, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex0))),
% 49.51/31.98 inference(transitivity,[status(thm)],[15369, 15367])).
% 49.51/31.98 tff(15371,plain,
% 49.51/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex0)) | v94(constB117) | v84(constB117, bitIndex0))),
% 49.51/31.98 inference(quant_inst,[status(thm)],[])).
% 49.51/31.98 tff(15372,plain,
% 49.51/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex0)),
% 49.51/31.98 inference(modus_ponens,[status(thm)],[15371, 15370])).
% 49.51/31.98 tff(15373,plain,
% 49.51/31.98 ((~v84(constB116, bitIndex0)) | v94(constB117) | v84(constB117, bitIndex0)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15372, 1439, 15150])).
% 49.51/31.98 tff(15374,plain,
% 49.51/31.98 ((~v84(constB116, bitIndex0)) | v84(constB117, bitIndex0)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15373, 15162])).
% 49.51/31.98 tff(15375,plain,
% 49.51/31.98 (v84(constB117, bitIndex0)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15374, 15366])).
% 49.51/31.98 tff(15376,plain,
% 49.51/31.98 (v145(constB117)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15224, 1268, 15375, 15341, 15171])).
% 49.51/31.98 tff(15377,plain,
% 49.51/31.98 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB117)) | (~v124(constB117, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB117)) | (~v124(constB117, bitIndex2)))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15378,plain,
% 49.51/31.98 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB117)) | (~v124(constB117, bitIndex2)))),
% 49.51/31.98 inference(quant_inst,[status(thm)],[])).
% 49.51/31.98 tff(15379,plain,
% 49.51/31.98 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB117)) | (~v124(constB117, bitIndex2))),
% 49.51/31.98 inference(modus_ponens,[status(thm)],[15378, 15377])).
% 49.51/31.98 tff(15380,plain,
% 49.51/31.98 (~v124(constB117, bitIndex2)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15379, 1456, 15376])).
% 49.51/31.98 tff(15381,plain,
% 49.51/31.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB117, bitIndex2)) | v26(constB117) | v124(constB117, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB117, bitIndex2)) | v26(constB117) | v124(constB117, bitIndex2))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15382,plain,
% 49.51/31.98 ((v26(constB117) | v124(constB117, bitIndex2) | (~v121(constB117, bitIndex2))) <=> ((~v121(constB117, bitIndex2)) | v26(constB117) | v124(constB117, bitIndex2))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15383,plain,
% 49.51/31.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB117) | v124(constB117, bitIndex2) | (~v121(constB117, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB117, bitIndex2)) | v26(constB117) | v124(constB117, bitIndex2)))),
% 49.51/31.98 inference(monotonicity,[status(thm)],[15382])).
% 49.51/31.98 tff(15384,plain,
% 49.51/31.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB117) | v124(constB117, bitIndex2) | (~v121(constB117, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB117, bitIndex2)) | v26(constB117) | v124(constB117, bitIndex2))),
% 49.51/31.98 inference(transitivity,[status(thm)],[15383, 15381])).
% 49.51/31.98 tff(15385,plain,
% 49.51/31.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB117) | v124(constB117, bitIndex2) | (~v121(constB117, bitIndex2)))),
% 49.51/31.98 inference(quant_inst,[status(thm)],[])).
% 49.51/31.98 tff(15386,plain,
% 49.51/31.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB117, bitIndex2)) | v26(constB117) | v124(constB117, bitIndex2)),
% 49.51/31.98 inference(modus_ponens,[status(thm)],[15385, 15384])).
% 49.51/31.98 tff(15387,plain,
% 49.51/31.98 ((~v121(constB117, bitIndex2)) | v124(constB117, bitIndex2)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15386, 1187, 15255])).
% 49.51/31.98 tff(15388,plain,
% 49.51/31.98 (~v121(constB117, bitIndex2)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15387, 15380])).
% 49.51/31.98 tff(15389,plain,
% 49.51/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v121(constB117, bitIndex2) | (~v123(constB118, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB117, constB118)) | v121(constB117, bitIndex2) | (~v123(constB118, bitIndex2)))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15390,plain,
% 49.51/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v121(constB117, bitIndex2) | (~v123(constB118, bitIndex2)))),
% 49.51/31.98 inference(quant_inst,[status(thm)],[])).
% 49.51/31.98 tff(15391,plain,
% 49.51/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB117, constB118)) | v121(constB117, bitIndex2) | (~v123(constB118, bitIndex2))),
% 49.51/31.98 inference(modus_ponens,[status(thm)],[15390, 15389])).
% 49.51/31.98 tff(15392,plain,
% 49.51/31.98 (v121(constB117, bitIndex2) | (~v123(constB118, bitIndex2))),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15391, 1205, 15270])).
% 49.51/31.98 tff(15393,plain,
% 49.51/31.98 (~v123(constB118, bitIndex2)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15392, 15388])).
% 49.51/31.98 tff(15394,plain,
% 49.51/31.98 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2) | (~v94(constB118)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2) | (~v94(constB118)))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15395,plain,
% 49.51/31.98 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2) | (~v94(constB118)))),
% 49.51/31.98 inference(quant_inst,[status(thm)],[])).
% 49.51/31.98 tff(15396,plain,
% 49.51/31.98 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2) | (~v94(constB118))),
% 49.51/31.98 inference(modus_ponens,[status(thm)],[15395, 15394])).
% 49.51/31.98 tff(15397,plain,
% 49.51/31.98 ((~v84(constB118, bitIndex2)) | (~v94(constB118))),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15396, 1220, 15393])).
% 49.51/31.98 tff(15398,plain,
% 49.51/31.98 (~v84(constB118, bitIndex2)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15397, 15304])).
% 49.51/31.98 tff(15399,plain,
% 49.51/31.98 ((~v1(constB119)) <=> (~v1(constB119))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15400,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 49.51/31.98 tff(15401,plain,
% 49.51/31.98 (~v1(constB119)),
% 49.51/31.98 inference(modus_ponens,[status(thm)],[15400, 15399])).
% 49.51/31.98 tff(15402,plain,
% 49.51/31.98 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15403,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 49.51/31.98 tff(15404,plain,
% 49.51/31.98 (nextState(constB118, constB119)),
% 49.51/31.98 inference(modus_ponens,[status(thm)],[15403, 15402])).
% 49.51/31.98 tff(15405,plain,
% 49.51/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15406,plain,
% 49.51/31.98 (((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15407,plain,
% 49.51/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119))))),
% 49.51/31.98 inference(monotonicity,[status(thm)],[15406])).
% 49.51/31.98 tff(15408,plain,
% 49.51/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 49.51/31.98 inference(transitivity,[status(thm)],[15407, 15405])).
% 49.51/31.98 tff(15409,plain,
% 49.51/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))),
% 49.51/31.98 inference(quant_inst,[status(thm)],[])).
% 49.51/31.98 tff(15410,plain,
% 49.51/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119))),
% 49.51/31.98 inference(modus_ponens,[status(thm)],[15409, 15408])).
% 49.51/31.98 tff(15411,plain,
% 49.51/31.98 (~v95(constB119)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15410, 110, 15404, 15401])).
% 49.51/31.98 tff(15412,plain,
% 49.51/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15413,plain,
% 49.51/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))),
% 49.51/31.98 inference(quant_inst,[status(thm)],[])).
% 49.51/31.98 tff(15414,plain,
% 49.51/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119))),
% 49.51/31.98 inference(modus_ponens,[status(thm)],[15413, 15412])).
% 49.51/31.98 tff(15415,plain,
% 49.51/31.98 (v95(constB119) | (~v94(constB119))),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15414, 127, 15404])).
% 49.51/31.98 tff(15416,plain,
% 49.51/31.98 (~v94(constB119)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15415, 15411])).
% 49.51/31.98 tff(15417,plain,
% 49.51/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex2)))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15418,plain,
% 49.51/31.98 (((~nextState(constB118, constB119)) | v84(constB118, bitIndex2) | v94(constB119) | (~v84(constB119, bitIndex2))) <=> (v84(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex2)))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15419,plain,
% 49.51/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex2) | v94(constB119) | (~v84(constB119, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex2))))),
% 49.51/31.98 inference(monotonicity,[status(thm)],[15418])).
% 49.51/31.98 tff(15420,plain,
% 49.51/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex2) | v94(constB119) | (~v84(constB119, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex2)))),
% 49.51/31.98 inference(transitivity,[status(thm)],[15419, 15417])).
% 49.51/31.98 tff(15421,plain,
% 49.51/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex2) | v94(constB119) | (~v84(constB119, bitIndex2)))),
% 49.51/31.98 inference(quant_inst,[status(thm)],[])).
% 49.51/31.98 tff(15422,plain,
% 49.51/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex2))),
% 49.51/31.98 inference(modus_ponens,[status(thm)],[15421, 15420])).
% 49.51/31.98 tff(15423,plain,
% 49.51/31.98 (v84(constB118, bitIndex2) | v94(constB119) | (~v84(constB119, bitIndex2))),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15422, 142, 15404])).
% 49.51/31.98 tff(15424,plain,
% 49.51/31.98 (v84(constB118, bitIndex2) | (~v84(constB119, bitIndex2))),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15423, 15416])).
% 49.51/31.98 tff(15425,plain,
% 49.51/31.98 (~v84(constB119, bitIndex2)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15424, 15398])).
% 49.51/31.98 tff(15426,plain,
% 49.51/31.98 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB117)) | v124(constB117, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB117)) | v124(constB117, bitIndex1))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15427,plain,
% 49.51/31.98 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB117)) | v124(constB117, bitIndex1))),
% 49.51/31.98 inference(quant_inst,[status(thm)],[])).
% 49.51/31.98 tff(15428,plain,
% 49.51/31.98 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB117)) | v124(constB117, bitIndex1)),
% 49.51/31.98 inference(modus_ponens,[status(thm)],[15427, 15426])).
% 49.51/31.98 tff(15429,plain,
% 49.51/31.98 (v124(constB117, bitIndex1)),
% 49.51/31.98 inference(unit_resolution,[status(thm)],[15428, 1512, 15376])).
% 49.51/31.98 tff(15430,plain,
% 49.51/31.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB117) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB117) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1))),
% 49.51/31.98 inference(rewrite,[status(thm)],[])).
% 49.51/31.98 tff(15431,plain,
% 49.51/31.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB117) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1))),
% 49.51/31.99 inference(quant_inst,[status(thm)],[])).
% 49.51/31.99 tff(15432,plain,
% 49.51/31.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB117) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1)),
% 49.51/31.99 inference(modus_ponens,[status(thm)],[15431, 15430])).
% 49.51/31.99 tff(15433,plain,
% 49.51/31.99 ((~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1)),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15432, 857, 15255])).
% 49.51/31.99 tff(15434,plain,
% 49.51/31.99 (v121(constB117, bitIndex1)),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15433, 15429])).
% 49.51/31.99 tff(15435,plain,
% 49.51/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB117, constB118)) | (~v121(constB117, bitIndex1)) | v123(constB118, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB117, constB118)) | (~v121(constB117, bitIndex1)) | v123(constB118, bitIndex1))),
% 49.51/31.99 inference(rewrite,[status(thm)],[])).
% 49.51/31.99 tff(15436,plain,
% 49.51/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB117, constB118)) | (~v121(constB117, bitIndex1)) | v123(constB118, bitIndex1))),
% 49.51/31.99 inference(quant_inst,[status(thm)],[])).
% 49.51/31.99 tff(15437,plain,
% 49.51/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB117, constB118)) | (~v121(constB117, bitIndex1)) | v123(constB118, bitIndex1)),
% 49.51/31.99 inference(modus_ponens,[status(thm)],[15436, 15435])).
% 49.51/31.99 tff(15438,plain,
% 49.51/31.99 ((~v121(constB117, bitIndex1)) | v123(constB118, bitIndex1)),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15437, 872, 15270])).
% 49.51/31.99 tff(15439,plain,
% 49.51/31.99 (v123(constB118, bitIndex1)),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15438, 15434])).
% 49.51/31.99 tff(15440,plain,
% 49.51/31.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)) | (~v94(constB118)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)) | (~v94(constB118)))),
% 49.51/31.99 inference(rewrite,[status(thm)],[])).
% 49.51/31.99 tff(15441,plain,
% 49.51/31.99 ((v84(constB118, bitIndex1) | (~v94(constB118)) | (~v123(constB118, bitIndex1))) <=> (v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)) | (~v94(constB118)))),
% 49.51/31.99 inference(rewrite,[status(thm)],[])).
% 49.51/31.99 tff(15442,plain,
% 49.51/31.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~v94(constB118)) | (~v123(constB118, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)) | (~v94(constB118))))),
% 49.51/31.99 inference(monotonicity,[status(thm)],[15441])).
% 49.51/31.99 tff(15443,plain,
% 49.51/31.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~v94(constB118)) | (~v123(constB118, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)) | (~v94(constB118)))),
% 49.51/31.99 inference(transitivity,[status(thm)],[15442, 15440])).
% 49.51/31.99 tff(15444,plain,
% 49.51/31.99 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~v94(constB118)) | (~v123(constB118, bitIndex1)))),
% 49.51/31.99 inference(quant_inst,[status(thm)],[])).
% 49.51/31.99 tff(15445,plain,
% 49.51/31.99 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)) | (~v94(constB118))),
% 49.51/31.99 inference(modus_ponens,[status(thm)],[15444, 15443])).
% 49.51/31.99 tff(15446,plain,
% 49.51/31.99 (v84(constB118, bitIndex1) | (~v94(constB118))),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15445, 887, 15439])).
% 49.51/31.99 tff(15447,plain,
% 49.51/31.99 (v84(constB118, bitIndex1)),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15446, 15304])).
% 49.51/31.99 tff(15448,plain,
% 49.51/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex1))),
% 49.51/31.99 inference(rewrite,[status(thm)],[])).
% 49.51/31.99 tff(15449,plain,
% 49.51/31.99 (((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex1)) | v94(constB119) | v84(constB119, bitIndex1)) <=> ((~v84(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex1))),
% 49.51/31.99 inference(rewrite,[status(thm)],[])).
% 49.51/31.99 tff(15450,plain,
% 49.51/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex1)) | v94(constB119) | v84(constB119, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex1)))),
% 49.51/31.99 inference(monotonicity,[status(thm)],[15449])).
% 49.51/31.99 tff(15451,plain,
% 49.51/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex1)) | v94(constB119) | v84(constB119, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex1))),
% 49.51/31.99 inference(transitivity,[status(thm)],[15450, 15448])).
% 49.51/31.99 tff(15452,plain,
% 49.51/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex1)) | v94(constB119) | v84(constB119, bitIndex1))),
% 49.51/31.99 inference(quant_inst,[status(thm)],[])).
% 49.51/31.99 tff(15453,plain,
% 49.51/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex1)),
% 49.51/31.99 inference(modus_ponens,[status(thm)],[15452, 15451])).
% 49.51/31.99 tff(15454,plain,
% 49.51/31.99 ((~v84(constB118, bitIndex1)) | v94(constB119) | v84(constB119, bitIndex1)),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15453, 905, 15404])).
% 49.51/31.99 tff(15455,plain,
% 49.51/31.99 ((~v84(constB118, bitIndex1)) | v84(constB119, bitIndex1)),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15454, 15416])).
% 49.51/31.99 tff(15456,plain,
% 49.51/31.99 (v84(constB119, bitIndex1)),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15455, 15447])).
% 49.51/31.99 tff(15457,plain,
% 49.51/31.99 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB117)) | (~v124(constB117, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB117)) | (~v124(constB117, bitIndex0)))),
% 49.51/31.99 inference(rewrite,[status(thm)],[])).
% 49.51/31.99 tff(15458,plain,
% 49.51/31.99 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB117)) | (~v124(constB117, bitIndex0)))),
% 49.51/31.99 inference(quant_inst,[status(thm)],[])).
% 49.51/31.99 tff(15459,plain,
% 49.51/31.99 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB117)) | (~v124(constB117, bitIndex0))),
% 49.51/31.99 inference(modus_ponens,[status(thm)],[15458, 15457])).
% 49.51/31.99 tff(15460,plain,
% 49.51/31.99 (~v124(constB117, bitIndex0)),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15459, 1550, 15376])).
% 49.51/31.99 tff(15461,plain,
% 49.51/31.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB117, bitIndex0)) | v26(constB117) | v124(constB117, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB117, bitIndex0)) | v26(constB117) | v124(constB117, bitIndex0))),
% 49.51/31.99 inference(rewrite,[status(thm)],[])).
% 49.51/31.99 tff(15462,plain,
% 49.51/31.99 ((v26(constB117) | v124(constB117, bitIndex0) | (~v121(constB117, bitIndex0))) <=> ((~v121(constB117, bitIndex0)) | v26(constB117) | v124(constB117, bitIndex0))),
% 49.51/31.99 inference(rewrite,[status(thm)],[])).
% 49.51/31.99 tff(15463,plain,
% 49.51/31.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB117) | v124(constB117, bitIndex0) | (~v121(constB117, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB117, bitIndex0)) | v26(constB117) | v124(constB117, bitIndex0)))),
% 49.51/31.99 inference(monotonicity,[status(thm)],[15462])).
% 49.51/31.99 tff(15464,plain,
% 49.51/31.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB117) | v124(constB117, bitIndex0) | (~v121(constB117, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB117, bitIndex0)) | v26(constB117) | v124(constB117, bitIndex0))),
% 49.51/31.99 inference(transitivity,[status(thm)],[15463, 15461])).
% 49.51/31.99 tff(15465,plain,
% 49.51/31.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB117) | v124(constB117, bitIndex0) | (~v121(constB117, bitIndex0)))),
% 49.51/31.99 inference(quant_inst,[status(thm)],[])).
% 49.51/31.99 tff(15466,plain,
% 49.51/31.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB117, bitIndex0)) | v26(constB117) | v124(constB117, bitIndex0)),
% 49.51/31.99 inference(modus_ponens,[status(thm)],[15465, 15464])).
% 49.51/31.99 tff(15467,plain,
% 49.51/31.99 ((~v121(constB117, bitIndex0)) | v124(constB117, bitIndex0)),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15466, 607, 15255])).
% 49.51/31.99 tff(15468,plain,
% 49.51/31.99 (~v121(constB117, bitIndex0)),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15467, 15460])).
% 49.51/31.99 tff(15469,plain,
% 49.51/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v121(constB117, bitIndex0) | (~v123(constB118, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB117, constB118)) | v121(constB117, bitIndex0) | (~v123(constB118, bitIndex0)))),
% 49.51/31.99 inference(rewrite,[status(thm)],[])).
% 49.51/31.99 tff(15470,plain,
% 49.51/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v121(constB117, bitIndex0) | (~v123(constB118, bitIndex0)))),
% 49.51/31.99 inference(quant_inst,[status(thm)],[])).
% 49.51/31.99 tff(15471,plain,
% 49.51/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB117, constB118)) | v121(constB117, bitIndex0) | (~v123(constB118, bitIndex0))),
% 49.51/31.99 inference(modus_ponens,[status(thm)],[15470, 15469])).
% 49.51/31.99 tff(15472,plain,
% 49.51/31.99 (v121(constB117, bitIndex0) | (~v123(constB118, bitIndex0))),
% 49.51/31.99 inference(unit_resolution,[status(thm)],[15471, 637, 15270])).
% 49.51/32.00 tff(15473,plain,
% 49.51/32.00 (~v123(constB118, bitIndex0)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15472, 15468])).
% 49.51/32.00 tff(15474,plain,
% 49.51/32.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0) | (~v94(constB118)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0) | (~v94(constB118)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15475,plain,
% 49.51/32.00 (((~v84(constB118, bitIndex0)) | (~v94(constB118)) | v123(constB118, bitIndex0)) <=> ((~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0) | (~v94(constB118)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15476,plain,
% 49.51/32.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | (~v94(constB118)) | v123(constB118, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0) | (~v94(constB118))))),
% 49.51/32.00 inference(monotonicity,[status(thm)],[15475])).
% 49.51/32.00 tff(15477,plain,
% 49.51/32.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | (~v94(constB118)) | v123(constB118, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0) | (~v94(constB118)))),
% 49.51/32.00 inference(transitivity,[status(thm)],[15476, 15474])).
% 49.51/32.00 tff(15478,plain,
% 49.51/32.00 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | (~v94(constB118)) | v123(constB118, bitIndex0))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15479,plain,
% 49.51/32.00 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0) | (~v94(constB118))),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15478, 15477])).
% 49.51/32.00 tff(15480,plain,
% 49.51/32.00 ((~v84(constB118, bitIndex0)) | (~v94(constB118))),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15479, 652, 15473])).
% 49.51/32.00 tff(15481,plain,
% 49.51/32.00 (~v84(constB118, bitIndex0)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15480, 15304])).
% 49.51/32.00 tff(15482,plain,
% 49.51/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex0)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15483,plain,
% 49.51/32.00 (((~nextState(constB118, constB119)) | v84(constB118, bitIndex0) | v94(constB119) | (~v84(constB119, bitIndex0))) <=> (v84(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex0)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15484,plain,
% 49.51/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex0) | v94(constB119) | (~v84(constB119, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex0))))),
% 49.51/32.00 inference(monotonicity,[status(thm)],[15483])).
% 49.51/32.00 tff(15485,plain,
% 49.51/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex0) | v94(constB119) | (~v84(constB119, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex0)))),
% 49.51/32.00 inference(transitivity,[status(thm)],[15484, 15482])).
% 49.51/32.00 tff(15486,plain,
% 49.51/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex0) | v94(constB119) | (~v84(constB119, bitIndex0)))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15487,plain,
% 49.51/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex0))),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15486, 15485])).
% 49.51/32.00 tff(15488,plain,
% 49.51/32.00 (v84(constB118, bitIndex0) | v94(constB119) | (~v84(constB119, bitIndex0))),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15487, 184, 15404])).
% 49.51/32.00 tff(15489,plain,
% 49.51/32.00 (v84(constB118, bitIndex0) | (~v84(constB119, bitIndex0))),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15488, 15416])).
% 49.51/32.00 tff(15490,plain,
% 49.51/32.00 (~v84(constB119, bitIndex0)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15489, 15481])).
% 49.51/32.00 tff(15491,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v115(constB119))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v115(constB119))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15492,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v115(constB119))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15493,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v115(constB119)),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15492, 15491])).
% 49.51/32.00 tff(15494,plain,
% 49.51/32.00 (v115(constB119)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15493, 1594, 15490, 15456, 15425])).
% 49.51/32.00 tff(15495,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB119)) | v111(constB119))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB119)) | v111(constB119))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15496,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB119)) | v111(constB119))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15497,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB119)) | v111(constB119)),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15496, 15495])).
% 49.51/32.00 tff(15498,plain,
% 49.51/32.00 (v111(constB119)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15497, 1605, 15494])).
% 49.51/32.00 tff(15499,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB119) | (~v111(constB119)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB119) | (~v111(constB119)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15500,plain,
% 49.51/32.00 (((~v111(constB119)) | v110(constB119)) <=> (v110(constB119) | (~v111(constB119)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15501,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB119)) | v110(constB119))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB119) | (~v111(constB119))))),
% 49.51/32.00 inference(monotonicity,[status(thm)],[15500])).
% 49.51/32.00 tff(15502,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB119)) | v110(constB119))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB119) | (~v111(constB119)))),
% 49.51/32.00 inference(transitivity,[status(thm)],[15501, 15499])).
% 49.51/32.00 tff(15503,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB119)) | v110(constB119))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15504,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB119) | (~v111(constB119))),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15503, 15502])).
% 49.51/32.00 tff(15505,plain,
% 49.51/32.00 (v110(constB119)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15504, 292, 15498])).
% 49.51/32.00 tff(15506,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB119) | (~v110(constB119)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB119) | (~v110(constB119)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15507,plain,
% 49.51/32.00 (((~v110(constB119)) | v109(constB119)) <=> (v109(constB119) | (~v110(constB119)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15508,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB119)) | v109(constB119))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB119) | (~v110(constB119))))),
% 49.51/32.00 inference(monotonicity,[status(thm)],[15507])).
% 49.51/32.00 tff(15509,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB119)) | v109(constB119))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB119) | (~v110(constB119)))),
% 49.51/32.00 inference(transitivity,[status(thm)],[15508, 15506])).
% 49.51/32.00 tff(15510,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB119)) | v109(constB119))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15511,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB119) | (~v110(constB119))),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15510, 15509])).
% 49.51/32.00 tff(15512,plain,
% 49.51/32.00 (v109(constB119)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15511, 306, 15505])).
% 49.51/32.00 tff(15513,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB119)) | v108(constB119))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15514,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB119)) | v108(constB119))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15515,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB119)) | v108(constB119)),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15514, 15513])).
% 49.51/32.00 tff(15516,plain,
% 49.51/32.00 (v108(constB119)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15515, 320, 15512])).
% 49.51/32.00 tff(15517,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB119) | (~v108(constB119)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB119) | (~v108(constB119)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15518,plain,
% 49.51/32.00 (((~v108(constB119)) | v107(constB119)) <=> (v107(constB119) | (~v108(constB119)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15519,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB119)) | v107(constB119))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB119) | (~v108(constB119))))),
% 49.51/32.00 inference(monotonicity,[status(thm)],[15518])).
% 49.51/32.00 tff(15520,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB119)) | v107(constB119))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB119) | (~v108(constB119)))),
% 49.51/32.00 inference(transitivity,[status(thm)],[15519, 15517])).
% 49.51/32.00 tff(15521,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB119)) | v107(constB119))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15522,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB119) | (~v108(constB119))),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15521, 15520])).
% 49.51/32.00 tff(15523,plain,
% 49.51/32.00 (v107(constB119)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15522, 334, 15516])).
% 49.51/32.00 tff(15524,assumption,(v26(constB119)), introduced(assumption)).
% 49.51/32.00 tff(15525,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB119))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15526,plain,
% 49.51/32.00 ($false),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15525, 55, 15524])).
% 49.51/32.00 tff(15527,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 49.51/32.00 tff(15528,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | (~v107(constB119)) | v106(constB119))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15529,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15530,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | (~v107(constB119)) | v106(constB119)),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15529, 15528])).
% 49.51/32.00 tff(15531,plain,
% 49.51/32.00 ((~v107(constB119)) | v106(constB119)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15530, 348, 15527])).
% 49.51/32.00 tff(15532,plain,
% 49.51/32.00 (v106(constB119)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15531, 15523])).
% 49.51/32.00 tff(15533,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB119) | (~v106(constB119)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB119) | (~v106(constB119)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15534,plain,
% 49.51/32.00 (((~v106(constB119)) | v102(constB119)) <=> (v102(constB119) | (~v106(constB119)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15535,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB119)) | v102(constB119))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB119) | (~v106(constB119))))),
% 49.51/32.00 inference(monotonicity,[status(thm)],[15534])).
% 49.51/32.00 tff(15536,plain,
% 49.51/32.00 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB119)) | v102(constB119))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB119) | (~v106(constB119)))),
% 49.51/32.00 inference(transitivity,[status(thm)],[15535, 15533])).
% 49.51/32.00 tff(15537,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB119)) | v102(constB119))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15538,plain,
% 49.51/32.00 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB119) | (~v106(constB119))),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15537, 15536])).
% 49.51/32.00 tff(15539,plain,
% 49.51/32.00 (v102(constB119)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15538, 504, 15532])).
% 49.51/32.00 tff(15540,plain,
% 49.51/32.00 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15541,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 49.51/32.00 tff(15542,plain,
% 49.51/32.00 (nextState(constB119, constB120)),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15541, 15540])).
% 49.51/32.00 tff(15543,plain,
% 49.51/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15544,plain,
% 49.51/32.00 (((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120)) <=> ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15545,plain,
% 49.51/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119))))),
% 49.51/32.00 inference(monotonicity,[status(thm)],[15544])).
% 49.51/32.00 tff(15546,plain,
% 49.51/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 49.51/32.00 inference(transitivity,[status(thm)],[15545, 15543])).
% 49.51/32.00 tff(15547,plain,
% 49.51/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15548,plain,
% 49.51/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119))),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15547, 15546])).
% 49.51/32.00 tff(15549,plain,
% 49.51/32.00 (v104(constB120) | (~v102(constB119))),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15548, 489, 15542])).
% 49.51/32.00 tff(15550,plain,
% 49.51/32.00 (v104(constB120)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15549, 15539])).
% 49.51/32.00 tff(15551,plain,
% 49.51/32.00 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15552,plain,
% 49.51/32.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15553,plain,
% 49.51/32.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120))),
% 49.51/32.00 inference(modus_ponens,[status(thm)],[15552, 15551])).
% 49.51/32.00 tff(15554,plain,
% 49.51/32.00 (~v98(constB120)),
% 49.51/32.00 inference(unit_resolution,[status(thm)],[15553, 423, 15542, 15401])).
% 49.51/32.00 tff(15555,plain,
% 49.51/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))),
% 49.51/32.00 inference(rewrite,[status(thm)],[])).
% 49.51/32.00 tff(15556,plain,
% 49.51/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))),
% 49.51/32.00 inference(quant_inst,[status(thm)],[])).
% 49.51/32.00 tff(15557,plain,
% 49.51/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB119, constB120)) | v96(constB120) | v98(constB120)),
% 49.51/32.01 inference(modus_ponens,[status(thm)],[15556, 15555])).
% 49.51/32.01 tff(15558,plain,
% 49.51/32.01 (v96(constB120) | v98(constB120)),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15557, 437, 15542])).
% 49.51/32.01 tff(15559,plain,
% 49.51/32.01 (v96(constB120)),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15558, 15554])).
% 49.51/32.01 tff(15560,plain,
% 49.51/32.01 (v1(constB120) <=> v1(constB120)),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15561,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 49.51/32.01 tff(15562,plain,
% 49.51/32.01 (v1(constB120)),
% 49.51/32.01 inference(modus_ponens,[status(thm)],[15561, 15560])).
% 49.51/32.01 tff(15563,plain,
% 49.51/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15564,plain,
% 49.51/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))),
% 49.51/32.01 inference(quant_inst,[status(thm)],[])).
% 49.51/32.01 tff(15565,plain,
% 49.51/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120))),
% 49.51/32.01 inference(modus_ponens,[status(thm)],[15564, 15563])).
% 49.51/32.01 tff(15566,plain,
% 49.51/32.01 (v95(constB120) | (~v96(constB120))),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15565, 455, 15542, 15562])).
% 49.51/32.01 tff(15567,plain,
% 49.51/32.01 (v95(constB120)),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15566, 15559])).
% 49.51/32.01 tff(15568,plain,
% 49.51/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15569,plain,
% 49.51/32.01 (((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120)) <=> ((~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15570,plain,
% 49.51/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120))))),
% 49.51/32.01 inference(monotonicity,[status(thm)],[15569])).
% 49.51/32.01 tff(15571,plain,
% 49.51/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))),
% 49.51/32.01 inference(transitivity,[status(thm)],[15570, 15568])).
% 49.51/32.01 tff(15572,plain,
% 49.51/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))),
% 49.51/32.01 inference(quant_inst,[status(thm)],[])).
% 49.51/32.01 tff(15573,plain,
% 49.51/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120))),
% 49.51/32.01 inference(modus_ponens,[status(thm)],[15572, 15571])).
% 49.51/32.01 tff(15574,plain,
% 49.51/32.01 (v94(constB120) | (~v95(constB120)) | (~v104(constB120))),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15573, 470, 15542])).
% 49.51/32.01 tff(15575,plain,
% 49.51/32.01 (v94(constB120) | (~v104(constB120))),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15574, 15567])).
% 49.51/32.01 tff(15576,plain,
% 49.51/32.01 (v94(constB120)),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15575, 15550])).
% 49.51/32.01 tff(15577,plain,
% 49.51/32.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB119)) | (~v124(constB119, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB119)) | (~v124(constB119, bitIndex2)))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15578,plain,
% 49.51/32.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB119)) | (~v124(constB119, bitIndex2)))),
% 49.51/32.01 inference(quant_inst,[status(thm)],[])).
% 49.51/32.01 tff(15579,plain,
% 49.51/32.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB119)) | (~v124(constB119, bitIndex2))),
% 49.51/32.01 inference(modus_ponens,[status(thm)],[15578, 15577])).
% 49.51/32.01 tff(15580,plain,
% 49.51/32.01 (~v124(constB119, bitIndex2)),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15579, 1690, 15494])).
% 49.51/32.01 tff(15581,plain,
% 49.51/32.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB119, bitIndex2)) | v26(constB119) | v124(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB119, bitIndex2)) | v26(constB119) | v124(constB119, bitIndex2))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15582,plain,
% 49.51/32.01 ((v26(constB119) | v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2))) <=> ((~v121(constB119, bitIndex2)) | v26(constB119) | v124(constB119, bitIndex2))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15583,plain,
% 49.51/32.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB119) | v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB119, bitIndex2)) | v26(constB119) | v124(constB119, bitIndex2)))),
% 49.51/32.01 inference(monotonicity,[status(thm)],[15582])).
% 49.51/32.01 tff(15584,plain,
% 49.51/32.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB119) | v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB119, bitIndex2)) | v26(constB119) | v124(constB119, bitIndex2))),
% 49.51/32.01 inference(transitivity,[status(thm)],[15583, 15581])).
% 49.51/32.01 tff(15585,plain,
% 49.51/32.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB119) | v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2)))),
% 49.51/32.01 inference(quant_inst,[status(thm)],[])).
% 49.51/32.01 tff(15586,plain,
% 49.51/32.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB119, bitIndex2)) | v26(constB119) | v124(constB119, bitIndex2)),
% 49.51/32.01 inference(modus_ponens,[status(thm)],[15585, 15584])).
% 49.51/32.01 tff(15587,plain,
% 49.51/32.01 ((~v121(constB119, bitIndex2)) | v124(constB119, bitIndex2)),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15586, 1187, 15527])).
% 49.51/32.01 tff(15588,plain,
% 49.51/32.01 (~v121(constB119, bitIndex2)),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15587, 15580])).
% 49.51/32.01 tff(15589,plain,
% 49.51/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v121(constB119, bitIndex2) | (~v123(constB120, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB119, constB120)) | v121(constB119, bitIndex2) | (~v123(constB120, bitIndex2)))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15590,plain,
% 49.51/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v121(constB119, bitIndex2) | (~v123(constB120, bitIndex2)))),
% 49.51/32.01 inference(quant_inst,[status(thm)],[])).
% 49.51/32.01 tff(15591,plain,
% 49.51/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB119, constB120)) | v121(constB119, bitIndex2) | (~v123(constB120, bitIndex2))),
% 49.51/32.01 inference(modus_ponens,[status(thm)],[15590, 15589])).
% 49.51/32.01 tff(15592,plain,
% 49.51/32.01 (v121(constB119, bitIndex2) | (~v123(constB120, bitIndex2))),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15591, 1205, 15542])).
% 49.51/32.01 tff(15593,plain,
% 49.51/32.01 (~v123(constB120, bitIndex2)),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15592, 15588])).
% 49.51/32.01 tff(15594,plain,
% 49.51/32.01 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2) | (~v94(constB120)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2) | (~v94(constB120)))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15595,plain,
% 49.51/32.01 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2) | (~v94(constB120)))),
% 49.51/32.01 inference(quant_inst,[status(thm)],[])).
% 49.51/32.01 tff(15596,plain,
% 49.51/32.01 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2) | (~v94(constB120))),
% 49.51/32.01 inference(modus_ponens,[status(thm)],[15595, 15594])).
% 49.51/32.01 tff(15597,plain,
% 49.51/32.01 ((~v84(constB120, bitIndex2)) | (~v94(constB120))),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15596, 1220, 15593])).
% 49.51/32.01 tff(15598,plain,
% 49.51/32.01 (~v84(constB120, bitIndex2)),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15597, 15576])).
% 49.51/32.01 tff(15599,plain,
% 49.51/32.01 ((~v1(constB121)) <=> (~v1(constB121))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15600,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 49.51/32.01 tff(15601,plain,
% 49.51/32.01 (~v1(constB121)),
% 49.51/32.01 inference(modus_ponens,[status(thm)],[15600, 15599])).
% 49.51/32.01 tff(15602,plain,
% 49.51/32.01 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15603,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 49.51/32.01 tff(15604,plain,
% 49.51/32.01 (nextState(constB120, constB121)),
% 49.51/32.01 inference(modus_ponens,[status(thm)],[15603, 15602])).
% 49.51/32.01 tff(15605,plain,
% 49.51/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15606,plain,
% 49.51/32.01 (((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15607,plain,
% 49.51/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121))))),
% 49.51/32.01 inference(monotonicity,[status(thm)],[15606])).
% 49.51/32.01 tff(15608,plain,
% 49.51/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 49.51/32.01 inference(transitivity,[status(thm)],[15607, 15605])).
% 49.51/32.01 tff(15609,plain,
% 49.51/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))),
% 49.51/32.01 inference(quant_inst,[status(thm)],[])).
% 49.51/32.01 tff(15610,plain,
% 49.51/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121))),
% 49.51/32.01 inference(modus_ponens,[status(thm)],[15609, 15608])).
% 49.51/32.01 tff(15611,plain,
% 49.51/32.01 (~v95(constB121)),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15610, 110, 15604, 15601])).
% 49.51/32.01 tff(15612,plain,
% 49.51/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15613,plain,
% 49.51/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))),
% 49.51/32.01 inference(quant_inst,[status(thm)],[])).
% 49.51/32.01 tff(15614,plain,
% 49.51/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121))),
% 49.51/32.01 inference(modus_ponens,[status(thm)],[15613, 15612])).
% 49.51/32.01 tff(15615,plain,
% 49.51/32.01 (v95(constB121) | (~v94(constB121))),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15614, 127, 15604])).
% 49.51/32.01 tff(15616,plain,
% 49.51/32.01 (~v94(constB121)),
% 49.51/32.01 inference(unit_resolution,[status(thm)],[15615, 15611])).
% 49.51/32.01 tff(15617,plain,
% 49.51/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex2)))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15618,plain,
% 49.51/32.01 (((~nextState(constB120, constB121)) | v84(constB120, bitIndex2) | v94(constB121) | (~v84(constB121, bitIndex2))) <=> (v84(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex2)))),
% 49.51/32.01 inference(rewrite,[status(thm)],[])).
% 49.51/32.01 tff(15619,plain,
% 49.51/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v84(constB120, bitIndex2) | v94(constB121) | (~v84(constB121, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex2))))),
% 49.51/32.02 inference(monotonicity,[status(thm)],[15618])).
% 49.51/32.02 tff(15620,plain,
% 49.51/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v84(constB120, bitIndex2) | v94(constB121) | (~v84(constB121, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex2)))),
% 49.51/32.02 inference(transitivity,[status(thm)],[15619, 15617])).
% 49.51/32.02 tff(15621,plain,
% 49.51/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v84(constB120, bitIndex2) | v94(constB121) | (~v84(constB121, bitIndex2)))),
% 49.51/32.02 inference(quant_inst,[status(thm)],[])).
% 49.51/32.02 tff(15622,plain,
% 49.51/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex2))),
% 49.51/32.02 inference(modus_ponens,[status(thm)],[15621, 15620])).
% 49.51/32.02 tff(15623,plain,
% 49.51/32.02 (v84(constB120, bitIndex2) | v94(constB121) | (~v84(constB121, bitIndex2))),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15622, 142, 15604])).
% 49.51/32.02 tff(15624,plain,
% 49.51/32.02 (v84(constB120, bitIndex2) | (~v84(constB121, bitIndex2))),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15623, 15616])).
% 49.51/32.02 tff(15625,plain,
% 49.51/32.02 (~v84(constB121, bitIndex2)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15624, 15598])).
% 49.51/32.02 tff(15626,plain,
% 49.51/32.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB119)) | v124(constB119, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB119)) | v124(constB119, bitIndex1))),
% 49.51/32.02 inference(rewrite,[status(thm)],[])).
% 49.51/32.02 tff(15627,plain,
% 49.51/32.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB119)) | v124(constB119, bitIndex1))),
% 49.51/32.02 inference(quant_inst,[status(thm)],[])).
% 49.51/32.02 tff(15628,plain,
% 49.51/32.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB119)) | v124(constB119, bitIndex1)),
% 49.51/32.02 inference(modus_ponens,[status(thm)],[15627, 15626])).
% 49.51/32.02 tff(15629,plain,
% 49.51/32.02 (v124(constB119, bitIndex1)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15628, 1746, 15494])).
% 49.51/32.02 tff(15630,plain,
% 49.51/32.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1))),
% 49.51/32.02 inference(rewrite,[status(thm)],[])).
% 49.51/32.02 tff(15631,plain,
% 49.51/32.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1))),
% 49.51/32.02 inference(quant_inst,[status(thm)],[])).
% 49.51/32.02 tff(15632,plain,
% 49.51/32.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1)),
% 49.51/32.02 inference(modus_ponens,[status(thm)],[15631, 15630])).
% 49.51/32.02 tff(15633,plain,
% 49.51/32.02 ((~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15632, 857, 15527])).
% 49.51/32.02 tff(15634,plain,
% 49.51/32.02 (v121(constB119, bitIndex1)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15633, 15629])).
% 49.51/32.02 tff(15635,plain,
% 49.51/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1))),
% 49.51/32.02 inference(rewrite,[status(thm)],[])).
% 49.51/32.02 tff(15636,plain,
% 49.51/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1))),
% 49.51/32.02 inference(quant_inst,[status(thm)],[])).
% 49.51/32.02 tff(15637,plain,
% 49.51/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1)),
% 49.51/32.02 inference(modus_ponens,[status(thm)],[15636, 15635])).
% 49.51/32.02 tff(15638,plain,
% 49.51/32.02 ((~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15637, 872, 15542])).
% 49.51/32.02 tff(15639,plain,
% 49.51/32.02 (v123(constB120, bitIndex1)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15638, 15634])).
% 49.51/32.02 tff(15640,plain,
% 49.51/32.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))),
% 49.51/32.02 inference(rewrite,[status(thm)],[])).
% 49.51/32.02 tff(15641,plain,
% 49.51/32.02 ((v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1))) <=> (v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))),
% 49.51/32.02 inference(rewrite,[status(thm)],[])).
% 49.51/32.02 tff(15642,plain,
% 49.51/32.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120))))),
% 49.51/32.02 inference(monotonicity,[status(thm)],[15641])).
% 49.51/32.02 tff(15643,plain,
% 49.51/32.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))),
% 49.51/32.02 inference(transitivity,[status(thm)],[15642, 15640])).
% 49.51/32.02 tff(15644,plain,
% 49.51/32.02 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1)))),
% 49.51/32.02 inference(quant_inst,[status(thm)],[])).
% 49.51/32.02 tff(15645,plain,
% 49.51/32.02 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120))),
% 49.51/32.02 inference(modus_ponens,[status(thm)],[15644, 15643])).
% 49.51/32.02 tff(15646,plain,
% 49.51/32.02 (v84(constB120, bitIndex1) | (~v94(constB120))),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15645, 887, 15639])).
% 49.51/32.02 tff(15647,plain,
% 49.51/32.02 (v84(constB120, bitIndex1)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15646, 15576])).
% 49.51/32.02 tff(15648,plain,
% 49.51/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))),
% 49.51/32.02 inference(rewrite,[status(thm)],[])).
% 49.51/32.02 tff(15649,plain,
% 49.51/32.02 (((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1)) <=> ((~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))),
% 49.51/32.02 inference(rewrite,[status(thm)],[])).
% 49.51/32.02 tff(15650,plain,
% 49.51/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1)))),
% 49.51/32.02 inference(monotonicity,[status(thm)],[15649])).
% 49.51/32.02 tff(15651,plain,
% 49.51/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))),
% 49.51/32.02 inference(transitivity,[status(thm)],[15650, 15648])).
% 49.51/32.02 tff(15652,plain,
% 49.51/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1))),
% 49.51/32.02 inference(quant_inst,[status(thm)],[])).
% 49.51/32.02 tff(15653,plain,
% 49.51/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1)),
% 49.51/32.02 inference(modus_ponens,[status(thm)],[15652, 15651])).
% 49.51/32.02 tff(15654,plain,
% 49.51/32.02 ((~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15653, 905, 15604])).
% 49.51/32.02 tff(15655,plain,
% 49.51/32.02 ((~v84(constB120, bitIndex1)) | v84(constB121, bitIndex1)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15654, 15616])).
% 49.51/32.02 tff(15656,plain,
% 49.51/32.02 (v84(constB121, bitIndex1)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15655, 15647])).
% 49.51/32.02 tff(15657,plain,
% 49.51/32.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB119)) | v124(constB119, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB119)) | v124(constB119, bitIndex0))),
% 49.51/32.02 inference(rewrite,[status(thm)],[])).
% 49.51/32.02 tff(15658,plain,
% 49.51/32.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB119)) | v124(constB119, bitIndex0))),
% 49.51/32.02 inference(quant_inst,[status(thm)],[])).
% 49.51/32.02 tff(15659,plain,
% 49.51/32.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB119)) | v124(constB119, bitIndex0)),
% 49.51/32.02 inference(modus_ponens,[status(thm)],[15658, 15657])).
% 49.51/32.02 tff(15660,plain,
% 49.51/32.02 (v124(constB119, bitIndex0)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15659, 1784, 15494])).
% 49.51/32.02 tff(15661,plain,
% 49.51/32.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB119) | (~v124(constB119, bitIndex0)) | v121(constB119, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB119) | (~v124(constB119, bitIndex0)) | v121(constB119, bitIndex0))),
% 49.51/32.02 inference(rewrite,[status(thm)],[])).
% 49.51/32.02 tff(15662,plain,
% 49.51/32.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB119) | (~v124(constB119, bitIndex0)) | v121(constB119, bitIndex0))),
% 49.51/32.02 inference(quant_inst,[status(thm)],[])).
% 49.51/32.02 tff(15663,plain,
% 49.51/32.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB119) | (~v124(constB119, bitIndex0)) | v121(constB119, bitIndex0)),
% 49.51/32.02 inference(modus_ponens,[status(thm)],[15662, 15661])).
% 49.51/32.02 tff(15664,plain,
% 49.51/32.02 ((~v124(constB119, bitIndex0)) | v121(constB119, bitIndex0)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15663, 1391, 15527])).
% 49.51/32.02 tff(15665,plain,
% 49.51/32.02 (v121(constB119, bitIndex0)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15664, 15660])).
% 49.51/32.02 tff(15666,plain,
% 49.51/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex0)) | v123(constB120, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex0)) | v123(constB120, bitIndex0))),
% 49.51/32.02 inference(rewrite,[status(thm)],[])).
% 49.51/32.02 tff(15667,plain,
% 49.51/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex0)) | v123(constB120, bitIndex0))),
% 49.51/32.02 inference(quant_inst,[status(thm)],[])).
% 49.51/32.02 tff(15668,plain,
% 49.51/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex0)) | v123(constB120, bitIndex0)),
% 49.51/32.02 inference(modus_ponens,[status(thm)],[15667, 15666])).
% 49.51/32.02 tff(15669,plain,
% 49.51/32.02 ((~v121(constB119, bitIndex0)) | v123(constB120, bitIndex0)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15668, 1406, 15542])).
% 49.51/32.02 tff(15670,plain,
% 49.51/32.02 (v123(constB120, bitIndex0)),
% 49.51/32.02 inference(unit_resolution,[status(thm)],[15669, 15665])).
% 49.51/32.02 tff(15671,plain,
% 49.51/32.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~v123(constB120, bitIndex0)) | (~v94(constB120)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB120, bitIndex0) | (~v123(constB120, bitIndex0)) | (~v94(constB120)))),
% 49.51/32.02 inference(rewrite,[status(thm)],[])).
% 49.51/32.02 tff(15672,plain,
% 49.51/32.02 ((v84(constB120, bitIndex0) | (~v94(constB120)) | (~v123(constB120, bitIndex0))) <=> (v84(constB120, bitIndex0) | (~v123(constB120, bitIndex0)) | (~v94(constB120)))),
% 49.51/32.02 inference(rewrite,[status(thm)],[])).
% 49.51/32.02 tff(15673,plain,
% 49.51/32.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~v94(constB120)) | (~v123(constB120, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~v123(constB120, bitIndex0)) | (~v94(constB120))))),
% 49.51/32.02 inference(monotonicity,[status(thm)],[15672])).
% 49.51/32.02 tff(15674,plain,
% 49.51/32.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~v94(constB120)) | (~v123(constB120, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB120, bitIndex0) | (~v123(constB120, bitIndex0)) | (~v94(constB120)))),
% 49.51/32.02 inference(transitivity,[status(thm)],[15673, 15671])).
% 49.51/32.02 tff(15675,plain,
% 49.51/32.02 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~v94(constB120)) | (~v123(constB120, bitIndex0)))),
% 49.51/32.02 inference(quant_inst,[status(thm)],[])).
% 49.51/32.02 tff(15676,plain,
% 49.51/32.02 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB120, bitIndex0) | (~v123(constB120, bitIndex0)) | (~v94(constB120))),
% 49.51/32.03 inference(modus_ponens,[status(thm)],[15675, 15674])).
% 49.51/32.03 tff(15677,plain,
% 49.51/32.03 (v84(constB120, bitIndex0) | (~v94(constB120))),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15676, 1421, 15670])).
% 49.51/32.03 tff(15678,plain,
% 49.51/32.03 (v84(constB120, bitIndex0)),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15677, 15576])).
% 49.51/32.03 tff(15679,plain,
% 49.51/32.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex0))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15680,plain,
% 49.51/32.03 (((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex0)) | v94(constB121) | v84(constB121, bitIndex0)) <=> ((~v84(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex0))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15681,plain,
% 49.51/32.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex0)) | v94(constB121) | v84(constB121, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex0)))),
% 49.51/32.03 inference(monotonicity,[status(thm)],[15680])).
% 49.51/32.03 tff(15682,plain,
% 49.51/32.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex0)) | v94(constB121) | v84(constB121, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex0))),
% 49.51/32.03 inference(transitivity,[status(thm)],[15681, 15679])).
% 49.51/32.03 tff(15683,plain,
% 49.51/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex0)) | v94(constB121) | v84(constB121, bitIndex0))),
% 49.51/32.03 inference(quant_inst,[status(thm)],[])).
% 49.51/32.03 tff(15684,plain,
% 49.51/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex0)),
% 49.51/32.03 inference(modus_ponens,[status(thm)],[15683, 15682])).
% 49.51/32.03 tff(15685,plain,
% 49.51/32.03 ((~v84(constB120, bitIndex0)) | v94(constB121) | v84(constB121, bitIndex0)),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15684, 1439, 15604])).
% 49.51/32.03 tff(15686,plain,
% 49.51/32.03 ((~v84(constB120, bitIndex0)) | v84(constB121, bitIndex0)),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15685, 15616])).
% 49.51/32.03 tff(15687,plain,
% 49.51/32.03 (v84(constB121, bitIndex0)),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15686, 15678])).
% 49.51/32.03 tff(15688,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v116(constB121))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v116(constB121))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15689,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v116(constB121))),
% 49.51/32.03 inference(quant_inst,[status(thm)],[])).
% 49.51/32.03 tff(15690,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v116(constB121)),
% 49.51/32.03 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 49.51/32.03 tff(15691,plain,
% 49.51/32.03 (v116(constB121)),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15690, 1825, 15687, 15656, 15625])).
% 49.51/32.03 tff(15692,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB121)) | v110(constB121))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB121)) | v110(constB121))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15693,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB121)) | v110(constB121))),
% 49.51/32.03 inference(quant_inst,[status(thm)],[])).
% 49.51/32.03 tff(15694,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB121)) | v110(constB121)),
% 49.51/32.03 inference(modus_ponens,[status(thm)],[15693, 15692])).
% 49.51/32.03 tff(15695,plain,
% 49.51/32.03 (v110(constB121)),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15694, 1836, 15691])).
% 49.51/32.03 tff(15696,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB121) | (~v110(constB121)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB121) | (~v110(constB121)))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15697,plain,
% 49.51/32.03 (((~v110(constB121)) | v109(constB121)) <=> (v109(constB121) | (~v110(constB121)))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15698,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB121)) | v109(constB121))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB121) | (~v110(constB121))))),
% 49.51/32.03 inference(monotonicity,[status(thm)],[15697])).
% 49.51/32.03 tff(15699,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB121)) | v109(constB121))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB121) | (~v110(constB121)))),
% 49.51/32.03 inference(transitivity,[status(thm)],[15698, 15696])).
% 49.51/32.03 tff(15700,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB121)) | v109(constB121))),
% 49.51/32.03 inference(quant_inst,[status(thm)],[])).
% 49.51/32.03 tff(15701,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB121) | (~v110(constB121))),
% 49.51/32.03 inference(modus_ponens,[status(thm)],[15700, 15699])).
% 49.51/32.03 tff(15702,plain,
% 49.51/32.03 (v109(constB121)),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15701, 306, 15695])).
% 49.51/32.03 tff(15703,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB121)) | v108(constB121))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15704,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB121)) | v108(constB121))),
% 49.51/32.03 inference(quant_inst,[status(thm)],[])).
% 49.51/32.03 tff(15705,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB121)) | v108(constB121)),
% 49.51/32.03 inference(modus_ponens,[status(thm)],[15704, 15703])).
% 49.51/32.03 tff(15706,plain,
% 49.51/32.03 (v108(constB121)),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15705, 320, 15702])).
% 49.51/32.03 tff(15707,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB121) | (~v108(constB121)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB121) | (~v108(constB121)))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15708,plain,
% 49.51/32.03 (((~v108(constB121)) | v107(constB121)) <=> (v107(constB121) | (~v108(constB121)))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15709,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB121)) | v107(constB121))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB121) | (~v108(constB121))))),
% 49.51/32.03 inference(monotonicity,[status(thm)],[15708])).
% 49.51/32.03 tff(15710,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB121)) | v107(constB121))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB121) | (~v108(constB121)))),
% 49.51/32.03 inference(transitivity,[status(thm)],[15709, 15707])).
% 49.51/32.03 tff(15711,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB121)) | v107(constB121))),
% 49.51/32.03 inference(quant_inst,[status(thm)],[])).
% 49.51/32.03 tff(15712,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB121) | (~v108(constB121))),
% 49.51/32.03 inference(modus_ponens,[status(thm)],[15711, 15710])).
% 49.51/32.03 tff(15713,plain,
% 49.51/32.03 (v107(constB121)),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15712, 334, 15706])).
% 49.51/32.03 tff(15714,assumption,(v26(constB121)), introduced(assumption)).
% 49.51/32.03 tff(15715,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB121))),
% 49.51/32.03 inference(quant_inst,[status(thm)],[])).
% 49.51/32.03 tff(15716,plain,
% 49.51/32.03 ($false),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15715, 55, 15714])).
% 49.51/32.03 tff(15717,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 49.51/32.03 tff(15718,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | v106(constB121) | (~v107(constB121)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15719,plain,
% 49.51/32.03 ((v26(constB121) | (~v107(constB121)) | v106(constB121)) <=> (v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15720,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | v106(constB121) | (~v107(constB121))))),
% 49.51/32.03 inference(monotonicity,[status(thm)],[15719])).
% 49.51/32.03 tff(15721,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 49.51/32.03 inference(transitivity,[status(thm)],[15720, 15718])).
% 49.51/32.03 tff(15722,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))),
% 49.51/32.03 inference(quant_inst,[status(thm)],[])).
% 49.51/32.03 tff(15723,plain,
% 49.51/32.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121))),
% 49.51/32.03 inference(modus_ponens,[status(thm)],[15722, 15721])).
% 49.51/32.03 tff(15724,plain,
% 49.51/32.03 (v106(constB121) | (~v107(constB121))),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15723, 348, 15717])).
% 49.51/32.03 tff(15725,plain,
% 49.51/32.03 (v106(constB121)),
% 49.51/32.03 inference(unit_resolution,[status(thm)],[15724, 15713])).
% 49.51/32.03 tff(15726,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB121) | (~v106(constB121)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB121) | (~v106(constB121)))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15727,plain,
% 49.51/32.03 (((~v106(constB121)) | v102(constB121)) <=> (v102(constB121) | (~v106(constB121)))),
% 49.51/32.03 inference(rewrite,[status(thm)],[])).
% 49.51/32.03 tff(15728,plain,
% 49.51/32.03 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB121)) | v102(constB121))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB121) | (~v106(constB121))))),
% 49.51/32.03 inference(monotonicity,[status(thm)],[15727])).
% 49.59/32.03 tff(15729,plain,
% 49.59/32.03 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB121)) | v102(constB121))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB121) | (~v106(constB121)))),
% 49.59/32.03 inference(transitivity,[status(thm)],[15728, 15726])).
% 49.59/32.03 tff(15730,plain,
% 49.59/32.03 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB121)) | v102(constB121))),
% 49.59/32.03 inference(quant_inst,[status(thm)],[])).
% 49.59/32.03 tff(15731,plain,
% 49.59/32.03 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB121) | (~v106(constB121))),
% 49.59/32.03 inference(modus_ponens,[status(thm)],[15730, 15729])).
% 49.59/32.03 tff(15732,plain,
% 49.59/32.03 (v102(constB121)),
% 49.59/32.03 inference(unit_resolution,[status(thm)],[15731, 504, 15725])).
% 49.59/32.03 tff(15733,plain,
% 49.59/32.03 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 49.59/32.03 inference(rewrite,[status(thm)],[])).
% 49.59/32.03 tff(15734,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 49.59/32.03 tff(15735,plain,
% 49.59/32.03 (nextState(constB121, constB122)),
% 49.59/32.03 inference(modus_ponens,[status(thm)],[15734, 15733])).
% 49.59/32.03 tff(15736,plain,
% 49.59/32.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 49.59/32.03 inference(rewrite,[status(thm)],[])).
% 49.59/32.03 tff(15737,plain,
% 49.59/32.03 (((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122)) <=> ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 49.59/32.03 inference(rewrite,[status(thm)],[])).
% 49.59/32.03 tff(15738,plain,
% 49.59/32.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121))))),
% 49.59/32.03 inference(monotonicity,[status(thm)],[15737])).
% 49.59/32.03 tff(15739,plain,
% 49.59/32.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 49.59/32.03 inference(transitivity,[status(thm)],[15738, 15736])).
% 49.59/32.03 tff(15740,plain,
% 49.59/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))),
% 49.59/32.03 inference(quant_inst,[status(thm)],[])).
% 49.59/32.03 tff(15741,plain,
% 49.59/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121))),
% 49.59/32.03 inference(modus_ponens,[status(thm)],[15740, 15739])).
% 49.59/32.03 tff(15742,plain,
% 49.59/32.03 (v104(constB122) | (~v102(constB121))),
% 49.59/32.03 inference(unit_resolution,[status(thm)],[15741, 489, 15735])).
% 49.59/32.03 tff(15743,plain,
% 49.59/32.03 (v104(constB122)),
% 49.59/32.03 inference(unit_resolution,[status(thm)],[15742, 15732])).
% 49.59/32.03 tff(15744,plain,
% 49.59/32.03 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))),
% 49.59/32.03 inference(rewrite,[status(thm)],[])).
% 49.59/32.03 tff(15745,plain,
% 49.59/32.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))),
% 49.59/32.04 inference(quant_inst,[status(thm)],[])).
% 49.59/32.04 tff(15746,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122))),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15745, 15744])).
% 49.59/32.04 tff(15747,plain,
% 49.59/32.04 (~v98(constB122)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15746, 423, 15735, 15601])).
% 49.59/32.04 tff(15748,plain,
% 49.59/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15749,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))),
% 49.59/32.04 inference(quant_inst,[status(thm)],[])).
% 49.59/32.04 tff(15750,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB121, constB122)) | v96(constB122) | v98(constB122)),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15749, 15748])).
% 49.59/32.04 tff(15751,plain,
% 49.59/32.04 (v96(constB122) | v98(constB122)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15750, 437, 15735])).
% 49.59/32.04 tff(15752,plain,
% 49.59/32.04 (v96(constB122)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15751, 15747])).
% 49.59/32.04 tff(15753,plain,
% 49.59/32.04 (v1(constB122) <=> v1(constB122)),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15754,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 49.59/32.04 tff(15755,plain,
% 49.59/32.04 (v1(constB122)),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15754, 15753])).
% 49.59/32.04 tff(15756,plain,
% 49.59/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15757,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))),
% 49.59/32.04 inference(quant_inst,[status(thm)],[])).
% 49.59/32.04 tff(15758,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122))),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15757, 15756])).
% 49.59/32.04 tff(15759,plain,
% 49.59/32.04 (v95(constB122) | (~v96(constB122))),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15758, 455, 15735, 15755])).
% 49.59/32.04 tff(15760,plain,
% 49.59/32.04 (v95(constB122)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15759, 15752])).
% 49.59/32.04 tff(15761,plain,
% 49.59/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15762,plain,
% 49.59/32.04 (((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122)) <=> ((~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15763,plain,
% 49.59/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122))))),
% 49.59/32.04 inference(monotonicity,[status(thm)],[15762])).
% 49.59/32.04 tff(15764,plain,
% 49.59/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))),
% 49.59/32.04 inference(transitivity,[status(thm)],[15763, 15761])).
% 49.59/32.04 tff(15765,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))),
% 49.59/32.04 inference(quant_inst,[status(thm)],[])).
% 49.59/32.04 tff(15766,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122))),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15765, 15764])).
% 49.59/32.04 tff(15767,plain,
% 49.59/32.04 (v94(constB122) | (~v95(constB122)) | (~v104(constB122))),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15766, 470, 15735])).
% 49.59/32.04 tff(15768,plain,
% 49.59/32.04 (v94(constB122) | (~v104(constB122))),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15767, 15760])).
% 49.59/32.04 tff(15769,plain,
% 49.59/32.04 (v94(constB122)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15768, 15743])).
% 49.59/32.04 tff(15770,plain,
% 49.59/32.04 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB121)) | v124(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB121)) | v124(constB121, bitIndex2))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15771,plain,
% 49.59/32.04 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB121)) | v124(constB121, bitIndex2))),
% 49.59/32.04 inference(quant_inst,[status(thm)],[])).
% 49.59/32.04 tff(15772,plain,
% 49.59/32.04 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB121)) | v124(constB121, bitIndex2)),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15771, 15770])).
% 49.59/32.04 tff(15773,plain,
% 49.59/32.04 (v124(constB121, bitIndex2)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15772, 1923, 15691])).
% 49.59/32.04 tff(15774,plain,
% 49.59/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB121) | (~v124(constB121, bitIndex2)) | v121(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB121) | (~v124(constB121, bitIndex2)) | v121(constB121, bitIndex2))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15775,plain,
% 49.59/32.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB121) | (~v124(constB121, bitIndex2)) | v121(constB121, bitIndex2))),
% 49.59/32.04 inference(quant_inst,[status(thm)],[])).
% 49.59/32.04 tff(15776,plain,
% 49.59/32.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB121) | (~v124(constB121, bitIndex2)) | v121(constB121, bitIndex2)),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15775, 15774])).
% 49.59/32.04 tff(15777,plain,
% 49.59/32.04 ((~v124(constB121, bitIndex2)) | v121(constB121, bitIndex2)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15776, 374, 15717])).
% 49.59/32.04 tff(15778,plain,
% 49.59/32.04 (v121(constB121, bitIndex2)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15777, 15773])).
% 49.59/32.04 tff(15779,plain,
% 49.59/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v121(constB121, bitIndex2)) | v123(constB122, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v121(constB121, bitIndex2)) | v123(constB122, bitIndex2))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15780,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v121(constB121, bitIndex2)) | v123(constB122, bitIndex2))),
% 49.59/32.04 inference(quant_inst,[status(thm)],[])).
% 49.59/32.04 tff(15781,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v121(constB121, bitIndex2)) | v123(constB122, bitIndex2)),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15780, 15779])).
% 49.59/32.04 tff(15782,plain,
% 49.59/32.04 ((~v121(constB121, bitIndex2)) | v123(constB122, bitIndex2)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15781, 389, 15735])).
% 49.59/32.04 tff(15783,plain,
% 49.59/32.04 (v123(constB122, bitIndex2)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15782, 15778])).
% 49.59/32.04 tff(15784,plain,
% 49.59/32.04 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)) | (~v94(constB122)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)) | (~v94(constB122)))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15785,plain,
% 49.59/32.04 ((v84(constB122, bitIndex2) | (~v94(constB122)) | (~v123(constB122, bitIndex2))) <=> (v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)) | (~v94(constB122)))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15786,plain,
% 49.59/32.04 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~v94(constB122)) | (~v123(constB122, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)) | (~v94(constB122))))),
% 49.59/32.04 inference(monotonicity,[status(thm)],[15785])).
% 49.59/32.04 tff(15787,plain,
% 49.59/32.04 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~v94(constB122)) | (~v123(constB122, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)) | (~v94(constB122)))),
% 49.59/32.04 inference(transitivity,[status(thm)],[15786, 15784])).
% 49.59/32.04 tff(15788,plain,
% 49.59/32.04 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~v94(constB122)) | (~v123(constB122, bitIndex2)))),
% 49.59/32.04 inference(quant_inst,[status(thm)],[])).
% 49.59/32.04 tff(15789,plain,
% 49.59/32.04 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)) | (~v94(constB122))),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15788, 15787])).
% 49.59/32.04 tff(15790,plain,
% 49.59/32.04 (v84(constB122, bitIndex2) | (~v94(constB122))),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15789, 405, 15783])).
% 49.59/32.04 tff(15791,plain,
% 49.59/32.04 (v84(constB122, bitIndex2)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15790, 15769])).
% 49.59/32.04 tff(15792,plain,
% 49.59/32.04 ((~v1(constB123)) <=> (~v1(constB123))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15793,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 49.59/32.04 tff(15794,plain,
% 49.59/32.04 (~v1(constB123)),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15793, 15792])).
% 49.59/32.04 tff(15795,plain,
% 49.59/32.04 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15796,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 49.59/32.04 tff(15797,plain,
% 49.59/32.04 (nextState(constB122, constB123)),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15796, 15795])).
% 49.59/32.04 tff(15798,plain,
% 49.59/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15799,plain,
% 49.59/32.04 (((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15800,plain,
% 49.59/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123))))),
% 49.59/32.04 inference(monotonicity,[status(thm)],[15799])).
% 49.59/32.04 tff(15801,plain,
% 49.59/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 49.59/32.04 inference(transitivity,[status(thm)],[15800, 15798])).
% 49.59/32.04 tff(15802,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))),
% 49.59/32.04 inference(quant_inst,[status(thm)],[])).
% 49.59/32.04 tff(15803,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123))),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15802, 15801])).
% 49.59/32.04 tff(15804,plain,
% 49.59/32.04 (~v95(constB123)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15803, 110, 15797, 15794])).
% 49.59/32.04 tff(15805,plain,
% 49.59/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))),
% 49.59/32.04 inference(rewrite,[status(thm)],[])).
% 49.59/32.04 tff(15806,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))),
% 49.59/32.04 inference(quant_inst,[status(thm)],[])).
% 49.59/32.04 tff(15807,plain,
% 49.59/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123))),
% 49.59/32.04 inference(modus_ponens,[status(thm)],[15806, 15805])).
% 49.59/32.04 tff(15808,plain,
% 49.59/32.04 (v95(constB123) | (~v94(constB123))),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15807, 127, 15797])).
% 49.59/32.04 tff(15809,plain,
% 49.59/32.04 (~v94(constB123)),
% 49.59/32.04 inference(unit_resolution,[status(thm)],[15808, 15804])).
% 49.59/32.04 tff(15810,plain,
% 49.59/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex2))),
% 49.59/32.05 inference(rewrite,[status(thm)],[])).
% 49.59/32.05 tff(15811,plain,
% 49.59/32.05 (((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex2)) | v94(constB123) | v84(constB123, bitIndex2)) <=> ((~v84(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex2))),
% 49.59/32.05 inference(rewrite,[status(thm)],[])).
% 49.59/32.05 tff(15812,plain,
% 49.59/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex2)) | v94(constB123) | v84(constB123, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex2)))),
% 49.59/32.05 inference(monotonicity,[status(thm)],[15811])).
% 49.59/32.05 tff(15813,plain,
% 49.59/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex2)) | v94(constB123) | v84(constB123, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex2))),
% 49.59/32.05 inference(transitivity,[status(thm)],[15812, 15810])).
% 49.59/32.05 tff(15814,plain,
% 49.59/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex2)) | v94(constB123) | v84(constB123, bitIndex2))),
% 49.59/32.05 inference(quant_inst,[status(thm)],[])).
% 49.59/32.05 tff(15815,plain,
% 49.59/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex2)),
% 49.59/32.05 inference(modus_ponens,[status(thm)],[15814, 15813])).
% 49.59/32.05 tff(15816,plain,
% 49.59/32.05 ((~v84(constB122, bitIndex2)) | v94(constB123) | v84(constB123, bitIndex2)),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15815, 576, 15797])).
% 49.59/32.05 tff(15817,plain,
% 49.59/32.05 ((~v84(constB122, bitIndex2)) | v84(constB123, bitIndex2)),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15816, 15809])).
% 49.59/32.05 tff(15818,plain,
% 49.59/32.05 (v84(constB123, bitIndex2)),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15817, 15791])).
% 49.59/32.05 tff(15819,plain,
% 49.59/32.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB121)) | (~v124(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB121)) | (~v124(constB121, bitIndex1)))),
% 49.59/32.05 inference(rewrite,[status(thm)],[])).
% 49.59/32.05 tff(15820,plain,
% 49.59/32.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB121)) | (~v124(constB121, bitIndex1)))),
% 49.59/32.05 inference(quant_inst,[status(thm)],[])).
% 49.59/32.05 tff(15821,plain,
% 49.59/32.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB121)) | (~v124(constB121, bitIndex1))),
% 49.59/32.05 inference(modus_ponens,[status(thm)],[15820, 15819])).
% 49.59/32.05 tff(15822,plain,
% 49.59/32.05 (~v124(constB121, bitIndex1)),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15821, 1979, 15691])).
% 49.59/32.05 tff(15823,plain,
% 49.59/32.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))),
% 49.59/32.05 inference(rewrite,[status(thm)],[])).
% 49.59/32.05 tff(15824,plain,
% 49.59/32.05 ((v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1))) <=> ((~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))),
% 49.59/32.05 inference(rewrite,[status(thm)],[])).
% 49.59/32.05 tff(15825,plain,
% 49.59/32.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1)))),
% 49.59/32.05 inference(monotonicity,[status(thm)],[15824])).
% 49.59/32.05 tff(15826,plain,
% 49.59/32.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))),
% 49.59/32.05 inference(transitivity,[status(thm)],[15825, 15823])).
% 49.59/32.05 tff(15827,plain,
% 49.59/32.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))),
% 49.59/32.05 inference(quant_inst,[status(thm)],[])).
% 49.59/32.05 tff(15828,plain,
% 49.59/32.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1)),
% 49.59/32.05 inference(modus_ponens,[status(thm)],[15827, 15826])).
% 49.59/32.05 tff(15829,plain,
% 49.59/32.05 ((~v121(constB121, bitIndex1)) | v124(constB121, bitIndex1)),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15828, 233, 15717])).
% 49.59/32.05 tff(15830,plain,
% 49.59/32.05 (~v121(constB121, bitIndex1)),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15829, 15822])).
% 49.59/32.05 tff(15831,plain,
% 49.59/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1)))),
% 49.59/32.05 inference(rewrite,[status(thm)],[])).
% 49.59/32.05 tff(15832,plain,
% 49.59/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1)))),
% 49.59/32.05 inference(quant_inst,[status(thm)],[])).
% 49.59/32.05 tff(15833,plain,
% 49.59/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1))),
% 49.59/32.05 inference(modus_ponens,[status(thm)],[15832, 15831])).
% 49.59/32.05 tff(15834,plain,
% 49.59/32.05 (v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1))),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15833, 254, 15735])).
% 49.59/32.05 tff(15835,plain,
% 49.59/32.05 (~v123(constB122, bitIndex1)),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15834, 15830])).
% 49.59/32.05 tff(15836,plain,
% 49.59/32.05 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))),
% 49.59/32.05 inference(rewrite,[status(thm)],[])).
% 49.59/32.05 tff(15837,plain,
% 49.59/32.05 (((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1)) <=> ((~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))),
% 49.59/32.05 inference(rewrite,[status(thm)],[])).
% 49.59/32.05 tff(15838,plain,
% 49.59/32.05 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122))))),
% 49.59/32.05 inference(monotonicity,[status(thm)],[15837])).
% 49.59/32.05 tff(15839,plain,
% 49.59/32.05 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))),
% 49.59/32.05 inference(transitivity,[status(thm)],[15838, 15836])).
% 49.59/32.05 tff(15840,plain,
% 49.59/32.05 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1))),
% 49.59/32.05 inference(quant_inst,[status(thm)],[])).
% 49.59/32.05 tff(15841,plain,
% 49.59/32.05 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122))),
% 49.59/32.05 inference(modus_ponens,[status(thm)],[15840, 15839])).
% 49.59/32.05 tff(15842,plain,
% 49.59/32.05 ((~v84(constB122, bitIndex1)) | (~v94(constB122))),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15841, 532, 15835])).
% 49.59/32.05 tff(15843,plain,
% 49.59/32.05 (~v84(constB122, bitIndex1)),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15842, 15769])).
% 49.59/32.05 tff(15844,plain,
% 49.59/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 49.59/32.05 inference(rewrite,[status(thm)],[])).
% 49.59/32.05 tff(15845,plain,
% 49.59/32.05 (((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1))) <=> (v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 49.59/32.05 inference(rewrite,[status(thm)],[])).
% 49.59/32.05 tff(15846,plain,
% 49.59/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1))))),
% 49.59/32.05 inference(monotonicity,[status(thm)],[15845])).
% 49.59/32.05 tff(15847,plain,
% 49.59/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 49.59/32.05 inference(transitivity,[status(thm)],[15846, 15844])).
% 49.59/32.05 tff(15848,plain,
% 49.59/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 49.59/32.05 inference(quant_inst,[status(thm)],[])).
% 49.59/32.05 tff(15849,plain,
% 49.59/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1))),
% 49.59/32.05 inference(modus_ponens,[status(thm)],[15848, 15847])).
% 49.59/32.05 tff(15850,plain,
% 49.59/32.05 (v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1))),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15849, 163, 15797])).
% 49.59/32.05 tff(15851,plain,
% 49.59/32.05 (v84(constB122, bitIndex1) | (~v84(constB123, bitIndex1))),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15850, 15809])).
% 49.59/32.05 tff(15852,plain,
% 49.59/32.05 (~v84(constB123, bitIndex1)),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15851, 15843])).
% 49.59/32.05 tff(15853,plain,
% 49.59/32.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB121)) | (~v124(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB121)) | (~v124(constB121, bitIndex0)))),
% 49.59/32.05 inference(rewrite,[status(thm)],[])).
% 49.59/32.05 tff(15854,plain,
% 49.59/32.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB121)) | (~v124(constB121, bitIndex0)))),
% 49.59/32.05 inference(quant_inst,[status(thm)],[])).
% 49.59/32.05 tff(15855,plain,
% 49.59/32.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB121)) | (~v124(constB121, bitIndex0))),
% 49.59/32.05 inference(modus_ponens,[status(thm)],[15854, 15853])).
% 49.59/32.05 tff(15856,plain,
% 49.59/32.05 (~v124(constB121, bitIndex0)),
% 49.59/32.05 inference(unit_resolution,[status(thm)],[15855, 2020, 15691])).
% 49.59/32.05 tff(15857,plain,
% 49.59/32.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB121, bitIndex0)) | v26(constB121) | v124(constB121, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB121, bitIndex0)) | v26(constB121) | v124(constB121, bitIndex0))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15858,plain,
% 49.59/32.06 ((v26(constB121) | v124(constB121, bitIndex0) | (~v121(constB121, bitIndex0))) <=> ((~v121(constB121, bitIndex0)) | v26(constB121) | v124(constB121, bitIndex0))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15859,plain,
% 49.59/32.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB121) | v124(constB121, bitIndex0) | (~v121(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB121, bitIndex0)) | v26(constB121) | v124(constB121, bitIndex0)))),
% 49.59/32.06 inference(monotonicity,[status(thm)],[15858])).
% 49.59/32.06 tff(15860,plain,
% 49.59/32.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB121) | v124(constB121, bitIndex0) | (~v121(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB121, bitIndex0)) | v26(constB121) | v124(constB121, bitIndex0))),
% 49.59/32.06 inference(transitivity,[status(thm)],[15859, 15857])).
% 49.59/32.06 tff(15861,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB121) | v124(constB121, bitIndex0) | (~v121(constB121, bitIndex0)))),
% 49.59/32.06 inference(quant_inst,[status(thm)],[])).
% 49.59/32.06 tff(15862,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB121, bitIndex0)) | v26(constB121) | v124(constB121, bitIndex0)),
% 49.59/32.06 inference(modus_ponens,[status(thm)],[15861, 15860])).
% 49.59/32.06 tff(15863,plain,
% 49.59/32.06 ((~v121(constB121, bitIndex0)) | v124(constB121, bitIndex0)),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15862, 607, 15717])).
% 49.59/32.06 tff(15864,plain,
% 49.59/32.06 (~v121(constB121, bitIndex0)),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15863, 15856])).
% 49.59/32.06 tff(15865,plain,
% 49.59/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex0) | (~v123(constB122, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex0) | (~v123(constB122, bitIndex0)))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15866,plain,
% 49.59/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex0) | (~v123(constB122, bitIndex0)))),
% 49.59/32.06 inference(quant_inst,[status(thm)],[])).
% 49.59/32.06 tff(15867,plain,
% 49.59/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex0) | (~v123(constB122, bitIndex0))),
% 49.59/32.06 inference(modus_ponens,[status(thm)],[15866, 15865])).
% 49.59/32.06 tff(15868,plain,
% 49.59/32.06 (v121(constB121, bitIndex0) | (~v123(constB122, bitIndex0))),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15867, 637, 15735])).
% 49.59/32.06 tff(15869,plain,
% 49.59/32.06 (~v123(constB122, bitIndex0)),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15868, 15864])).
% 49.59/32.06 tff(15870,plain,
% 49.59/32.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0) | (~v94(constB122)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0) | (~v94(constB122)))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15871,plain,
% 49.59/32.06 (((~v84(constB122, bitIndex0)) | (~v94(constB122)) | v123(constB122, bitIndex0)) <=> ((~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0) | (~v94(constB122)))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15872,plain,
% 49.59/32.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | (~v94(constB122)) | v123(constB122, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0) | (~v94(constB122))))),
% 49.59/32.06 inference(monotonicity,[status(thm)],[15871])).
% 49.59/32.06 tff(15873,plain,
% 49.59/32.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | (~v94(constB122)) | v123(constB122, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0) | (~v94(constB122)))),
% 49.59/32.06 inference(transitivity,[status(thm)],[15872, 15870])).
% 49.59/32.06 tff(15874,plain,
% 49.59/32.06 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | (~v94(constB122)) | v123(constB122, bitIndex0))),
% 49.59/32.06 inference(quant_inst,[status(thm)],[])).
% 49.59/32.06 tff(15875,plain,
% 49.59/32.06 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0) | (~v94(constB122))),
% 49.59/32.06 inference(modus_ponens,[status(thm)],[15874, 15873])).
% 49.59/32.06 tff(15876,plain,
% 49.59/32.06 ((~v84(constB122, bitIndex0)) | (~v94(constB122))),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15875, 652, 15869])).
% 49.59/32.06 tff(15877,plain,
% 49.59/32.06 (~v84(constB122, bitIndex0)),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15876, 15769])).
% 49.59/32.06 tff(15878,plain,
% 49.59/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex0)))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15879,plain,
% 49.59/32.06 (((~nextState(constB122, constB123)) | v84(constB122, bitIndex0) | v94(constB123) | (~v84(constB123, bitIndex0))) <=> (v84(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex0)))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15880,plain,
% 49.59/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex0) | v94(constB123) | (~v84(constB123, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex0))))),
% 49.59/32.06 inference(monotonicity,[status(thm)],[15879])).
% 49.59/32.06 tff(15881,plain,
% 49.59/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex0) | v94(constB123) | (~v84(constB123, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex0)))),
% 49.59/32.06 inference(transitivity,[status(thm)],[15880, 15878])).
% 49.59/32.06 tff(15882,plain,
% 49.59/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex0) | v94(constB123) | (~v84(constB123, bitIndex0)))),
% 49.59/32.06 inference(quant_inst,[status(thm)],[])).
% 49.59/32.06 tff(15883,plain,
% 49.59/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex0))),
% 49.59/32.06 inference(modus_ponens,[status(thm)],[15882, 15881])).
% 49.59/32.06 tff(15884,plain,
% 49.59/32.06 (v84(constB122, bitIndex0) | v94(constB123) | (~v84(constB123, bitIndex0))),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15883, 184, 15797])).
% 49.59/32.06 tff(15885,plain,
% 49.59/32.06 (v84(constB122, bitIndex0) | (~v84(constB123, bitIndex0))),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15884, 15809])).
% 49.59/32.06 tff(15886,plain,
% 49.59/32.06 (~v84(constB123, bitIndex0)),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15885, 15877])).
% 49.59/32.06 tff(15887,plain,
% 49.59/32.06 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v172(constB123))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v172(constB123))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15888,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v172(constB123))),
% 49.59/32.06 inference(quant_inst,[status(thm)],[])).
% 49.59/32.06 tff(15889,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v172(constB123)),
% 49.59/32.06 inference(modus_ponens,[status(thm)],[15888, 15887])).
% 49.59/32.06 tff(15890,plain,
% 49.59/32.06 (v172(constB123)),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15889, 679, 15886, 15852, 15818])).
% 49.59/32.06 tff(15891,plain,
% 49.59/32.06 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB123) | (~v172(constB123)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB123) | (~v172(constB123)))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15892,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB123) | (~v172(constB123)))),
% 49.59/32.06 inference(quant_inst,[status(thm)],[])).
% 49.59/32.06 tff(15893,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB123) | (~v172(constB123))),
% 49.59/32.06 inference(modus_ponens,[status(thm)],[15892, 15891])).
% 49.59/32.06 tff(15894,plain,
% 49.59/32.06 (v109(constB123)),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15893, 740, 15890])).
% 49.59/32.06 tff(15895,plain,
% 49.59/32.06 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB123)) | v108(constB123))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15896,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB123)) | v108(constB123))),
% 49.59/32.06 inference(quant_inst,[status(thm)],[])).
% 49.59/32.06 tff(15897,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB123)) | v108(constB123)),
% 49.59/32.06 inference(modus_ponens,[status(thm)],[15896, 15895])).
% 49.59/32.06 tff(15898,plain,
% 49.59/32.06 (v108(constB123)),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15897, 320, 15894])).
% 49.59/32.06 tff(15899,plain,
% 49.59/32.06 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB123) | (~v108(constB123)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB123) | (~v108(constB123)))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15900,plain,
% 49.59/32.06 (((~v108(constB123)) | v107(constB123)) <=> (v107(constB123) | (~v108(constB123)))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15901,plain,
% 49.59/32.06 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB123)) | v107(constB123))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB123) | (~v108(constB123))))),
% 49.59/32.06 inference(monotonicity,[status(thm)],[15900])).
% 49.59/32.06 tff(15902,plain,
% 49.59/32.06 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB123)) | v107(constB123))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB123) | (~v108(constB123)))),
% 49.59/32.06 inference(transitivity,[status(thm)],[15901, 15899])).
% 49.59/32.06 tff(15903,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB123)) | v107(constB123))),
% 49.59/32.06 inference(quant_inst,[status(thm)],[])).
% 49.59/32.06 tff(15904,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB123) | (~v108(constB123))),
% 49.59/32.06 inference(modus_ponens,[status(thm)],[15903, 15902])).
% 49.59/32.06 tff(15905,plain,
% 49.59/32.06 (v107(constB123)),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15904, 334, 15898])).
% 49.59/32.06 tff(15906,assumption,(v26(constB123)), introduced(assumption)).
% 49.59/32.06 tff(15907,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB123))),
% 49.59/32.06 inference(quant_inst,[status(thm)],[])).
% 49.59/32.06 tff(15908,plain,
% 49.59/32.06 ($false),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15907, 55, 15906])).
% 49.59/32.06 tff(15909,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 49.59/32.06 tff(15910,plain,
% 49.59/32.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | (~v107(constB123)) | v106(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB123) | (~v107(constB123)) | v106(constB123))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15911,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | (~v107(constB123)) | v106(constB123))),
% 49.59/32.06 inference(quant_inst,[status(thm)],[])).
% 49.59/32.06 tff(15912,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB123) | (~v107(constB123)) | v106(constB123)),
% 49.59/32.06 inference(modus_ponens,[status(thm)],[15911, 15910])).
% 49.59/32.06 tff(15913,plain,
% 49.59/32.06 ((~v107(constB123)) | v106(constB123)),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15912, 348, 15909])).
% 49.59/32.06 tff(15914,plain,
% 49.59/32.06 (v106(constB123)),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15913, 15905])).
% 49.59/32.06 tff(15915,plain,
% 49.59/32.06 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB123) | (~v106(constB123)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB123) | (~v106(constB123)))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15916,plain,
% 49.59/32.06 (((~v106(constB123)) | v102(constB123)) <=> (v102(constB123) | (~v106(constB123)))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15917,plain,
% 49.59/32.06 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB123)) | v102(constB123))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB123) | (~v106(constB123))))),
% 49.59/32.06 inference(monotonicity,[status(thm)],[15916])).
% 49.59/32.06 tff(15918,plain,
% 49.59/32.06 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB123)) | v102(constB123))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB123) | (~v106(constB123)))),
% 49.59/32.06 inference(transitivity,[status(thm)],[15917, 15915])).
% 49.59/32.06 tff(15919,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB123)) | v102(constB123))),
% 49.59/32.06 inference(quant_inst,[status(thm)],[])).
% 49.59/32.06 tff(15920,plain,
% 49.59/32.06 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB123) | (~v106(constB123))),
% 49.59/32.06 inference(modus_ponens,[status(thm)],[15919, 15918])).
% 49.59/32.06 tff(15921,plain,
% 49.59/32.06 (v102(constB123)),
% 49.59/32.06 inference(unit_resolution,[status(thm)],[15920, 504, 15914])).
% 49.59/32.06 tff(15922,plain,
% 49.59/32.06 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15923,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 49.59/32.06 tff(15924,plain,
% 49.59/32.06 (nextState(constB123, constB124)),
% 49.59/32.06 inference(modus_ponens,[status(thm)],[15923, 15922])).
% 49.59/32.06 tff(15925,plain,
% 49.59/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15926,plain,
% 49.59/32.06 (((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124)) <=> ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 49.59/32.06 inference(rewrite,[status(thm)],[])).
% 49.59/32.06 tff(15927,plain,
% 49.59/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123))))),
% 49.59/32.06 inference(monotonicity,[status(thm)],[15926])).
% 49.59/32.06 tff(15928,plain,
% 49.59/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 49.59/32.06 inference(transitivity,[status(thm)],[15927, 15925])).
% 49.59/32.06 tff(15929,plain,
% 49.59/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))),
% 49.59/32.07 inference(quant_inst,[status(thm)],[])).
% 49.59/32.07 tff(15930,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123))),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15929, 15928])).
% 49.59/32.07 tff(15931,plain,
% 49.59/32.07 (v104(constB124) | (~v102(constB123))),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15930, 489, 15924])).
% 49.59/32.07 tff(15932,plain,
% 49.59/32.07 (v104(constB124)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15931, 15921])).
% 49.59/32.07 tff(15933,plain,
% 49.59/32.07 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15934,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))),
% 49.59/32.07 inference(quant_inst,[status(thm)],[])).
% 49.59/32.07 tff(15935,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124))),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15934, 15933])).
% 49.59/32.07 tff(15936,plain,
% 49.59/32.07 (~v98(constB124)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15935, 423, 15924, 15794])).
% 49.59/32.07 tff(15937,plain,
% 49.59/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15938,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))),
% 49.59/32.07 inference(quant_inst,[status(thm)],[])).
% 49.59/32.07 tff(15939,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB123, constB124)) | v96(constB124) | v98(constB124)),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15938, 15937])).
% 49.59/32.07 tff(15940,plain,
% 49.59/32.07 (v96(constB124) | v98(constB124)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15939, 437, 15924])).
% 49.59/32.07 tff(15941,plain,
% 49.59/32.07 (v96(constB124)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15940, 15936])).
% 49.59/32.07 tff(15942,plain,
% 49.59/32.07 (v1(constB124) <=> v1(constB124)),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15943,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 49.59/32.07 tff(15944,plain,
% 49.59/32.07 (v1(constB124)),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15943, 15942])).
% 49.59/32.07 tff(15945,plain,
% 49.59/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15946,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))),
% 49.59/32.07 inference(quant_inst,[status(thm)],[])).
% 49.59/32.07 tff(15947,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124))),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15946, 15945])).
% 49.59/32.07 tff(15948,plain,
% 49.59/32.07 (v95(constB124) | (~v96(constB124))),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15947, 455, 15924, 15944])).
% 49.59/32.07 tff(15949,plain,
% 49.59/32.07 (v95(constB124)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15948, 15941])).
% 49.59/32.07 tff(15950,plain,
% 49.59/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15951,plain,
% 49.59/32.07 (((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124)) <=> ((~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15952,plain,
% 49.59/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124))))),
% 49.59/32.07 inference(monotonicity,[status(thm)],[15951])).
% 49.59/32.07 tff(15953,plain,
% 49.59/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))),
% 49.59/32.07 inference(transitivity,[status(thm)],[15952, 15950])).
% 49.59/32.07 tff(15954,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))),
% 49.59/32.07 inference(quant_inst,[status(thm)],[])).
% 49.59/32.07 tff(15955,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124))),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15954, 15953])).
% 49.59/32.07 tff(15956,plain,
% 49.59/32.07 (v94(constB124) | (~v95(constB124)) | (~v104(constB124))),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15955, 470, 15924])).
% 49.59/32.07 tff(15957,plain,
% 49.59/32.07 (v94(constB124) | (~v104(constB124))),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15956, 15949])).
% 49.59/32.07 tff(15958,plain,
% 49.59/32.07 (v94(constB124)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15957, 15932])).
% 49.59/32.07 tff(15959,plain,
% 49.59/32.07 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB123)) | v124(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB123)) | v124(constB123, bitIndex2))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15960,plain,
% 49.59/32.07 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB123)) | v124(constB123, bitIndex2))),
% 49.59/32.07 inference(quant_inst,[status(thm)],[])).
% 49.59/32.07 tff(15961,plain,
% 49.59/32.07 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB123)) | v124(constB123, bitIndex2)),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15960, 15959])).
% 49.59/32.07 tff(15962,plain,
% 49.59/32.07 (v124(constB123, bitIndex2)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15961, 691, 15890])).
% 49.59/32.07 tff(15963,plain,
% 49.59/32.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB123) | (~v124(constB123, bitIndex2)) | v121(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB123) | (~v124(constB123, bitIndex2)) | v121(constB123, bitIndex2))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15964,plain,
% 49.59/32.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB123) | (~v124(constB123, bitIndex2)) | v121(constB123, bitIndex2))),
% 49.59/32.07 inference(quant_inst,[status(thm)],[])).
% 49.59/32.07 tff(15965,plain,
% 49.59/32.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB123) | (~v124(constB123, bitIndex2)) | v121(constB123, bitIndex2)),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15964, 15963])).
% 49.59/32.07 tff(15966,plain,
% 49.59/32.07 ((~v124(constB123, bitIndex2)) | v121(constB123, bitIndex2)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15965, 374, 15909])).
% 49.59/32.07 tff(15967,plain,
% 49.59/32.07 (v121(constB123, bitIndex2)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15966, 15962])).
% 49.59/32.07 tff(15968,plain,
% 49.59/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v121(constB123, bitIndex2)) | v123(constB124, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v121(constB123, bitIndex2)) | v123(constB124, bitIndex2))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15969,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v121(constB123, bitIndex2)) | v123(constB124, bitIndex2))),
% 49.59/32.07 inference(quant_inst,[status(thm)],[])).
% 49.59/32.07 tff(15970,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v121(constB123, bitIndex2)) | v123(constB124, bitIndex2)),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15969, 15968])).
% 49.59/32.07 tff(15971,plain,
% 49.59/32.07 ((~v121(constB123, bitIndex2)) | v123(constB124, bitIndex2)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15970, 389, 15924])).
% 49.59/32.07 tff(15972,plain,
% 49.59/32.07 (v123(constB124, bitIndex2)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15971, 15967])).
% 49.59/32.07 tff(15973,plain,
% 49.59/32.07 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)) | (~v94(constB124)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)) | (~v94(constB124)))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15974,plain,
% 49.59/32.07 ((v84(constB124, bitIndex2) | (~v94(constB124)) | (~v123(constB124, bitIndex2))) <=> (v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)) | (~v94(constB124)))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15975,plain,
% 49.59/32.07 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~v94(constB124)) | (~v123(constB124, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)) | (~v94(constB124))))),
% 49.59/32.07 inference(monotonicity,[status(thm)],[15974])).
% 49.59/32.07 tff(15976,plain,
% 49.59/32.07 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~v94(constB124)) | (~v123(constB124, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)) | (~v94(constB124)))),
% 49.59/32.07 inference(transitivity,[status(thm)],[15975, 15973])).
% 49.59/32.07 tff(15977,plain,
% 49.59/32.07 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~v94(constB124)) | (~v123(constB124, bitIndex2)))),
% 49.59/32.07 inference(quant_inst,[status(thm)],[])).
% 49.59/32.07 tff(15978,plain,
% 49.59/32.07 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)) | (~v94(constB124))),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15977, 15976])).
% 49.59/32.07 tff(15979,plain,
% 49.59/32.07 (v84(constB124, bitIndex2) | (~v94(constB124))),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15978, 405, 15972])).
% 49.59/32.07 tff(15980,plain,
% 49.59/32.07 (v84(constB124, bitIndex2)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15979, 15958])).
% 49.59/32.07 tff(15981,plain,
% 49.59/32.07 ((~v1(constB125)) <=> (~v1(constB125))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15982,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 49.59/32.07 tff(15983,plain,
% 49.59/32.07 (~v1(constB125)),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15982, 15981])).
% 49.59/32.07 tff(15984,plain,
% 49.59/32.07 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15985,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 49.59/32.07 tff(15986,plain,
% 49.59/32.07 (nextState(constB124, constB125)),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15985, 15984])).
% 49.59/32.07 tff(15987,plain,
% 49.59/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15988,plain,
% 49.59/32.07 (((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 49.59/32.07 inference(rewrite,[status(thm)],[])).
% 49.59/32.07 tff(15989,plain,
% 49.59/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125))))),
% 49.59/32.07 inference(monotonicity,[status(thm)],[15988])).
% 49.59/32.07 tff(15990,plain,
% 49.59/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 49.59/32.07 inference(transitivity,[status(thm)],[15989, 15987])).
% 49.59/32.07 tff(15991,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))),
% 49.59/32.07 inference(quant_inst,[status(thm)],[])).
% 49.59/32.07 tff(15992,plain,
% 49.59/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125))),
% 49.59/32.07 inference(modus_ponens,[status(thm)],[15991, 15990])).
% 49.59/32.07 tff(15993,plain,
% 49.59/32.07 (~v95(constB125)),
% 49.59/32.07 inference(unit_resolution,[status(thm)],[15992, 110, 15986, 15983])).
% 49.59/32.07 tff(15994,plain,
% 49.59/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))),
% 49.59/32.08 inference(rewrite,[status(thm)],[])).
% 49.59/32.08 tff(15995,plain,
% 49.59/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))),
% 49.59/32.08 inference(quant_inst,[status(thm)],[])).
% 49.59/32.08 tff(15996,plain,
% 49.59/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125))),
% 49.59/32.08 inference(modus_ponens,[status(thm)],[15995, 15994])).
% 49.59/32.08 tff(15997,plain,
% 49.59/32.08 (v95(constB125) | (~v94(constB125))),
% 49.59/32.08 inference(unit_resolution,[status(thm)],[15996, 127, 15986])).
% 49.59/32.08 tff(15998,plain,
% 49.59/32.08 (~v94(constB125)),
% 49.59/32.08 inference(unit_resolution,[status(thm)],[15997, 15993])).
% 49.59/32.08 tff(15999,plain,
% 49.59/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex2))),
% 49.59/32.08 inference(rewrite,[status(thm)],[])).
% 49.59/32.08 tff(16000,plain,
% 49.59/32.08 (((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex2)) | v94(constB125) | v84(constB125, bitIndex2)) <=> ((~v84(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex2))),
% 49.59/32.08 inference(rewrite,[status(thm)],[])).
% 49.59/32.08 tff(16001,plain,
% 49.59/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex2)) | v94(constB125) | v84(constB125, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex2)))),
% 49.59/32.08 inference(monotonicity,[status(thm)],[16000])).
% 49.59/32.08 tff(16002,plain,
% 49.59/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex2)) | v94(constB125) | v84(constB125, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex2))),
% 49.59/32.08 inference(transitivity,[status(thm)],[16001, 15999])).
% 49.59/32.08 tff(16003,plain,
% 49.59/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex2)) | v94(constB125) | v84(constB125, bitIndex2))),
% 49.59/32.08 inference(quant_inst,[status(thm)],[])).
% 49.59/32.08 tff(16004,plain,
% 49.59/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex2)),
% 49.59/32.08 inference(modus_ponens,[status(thm)],[16003, 16002])).
% 49.59/32.08 tff(16005,plain,
% 49.59/32.08 ((~v84(constB124, bitIndex2)) | v94(constB125) | v84(constB125, bitIndex2)),
% 49.59/32.08 inference(unit_resolution,[status(thm)],[16004, 576, 15986])).
% 49.63/32.08 tff(16006,plain,
% 49.63/32.08 ((~v84(constB124, bitIndex2)) | v84(constB125, bitIndex2)),
% 49.63/32.08 inference(unit_resolution,[status(thm)],[16005, 15998])).
% 49.63/32.08 tff(16007,plain,
% 49.63/32.08 (v84(constB125, bitIndex2)),
% 49.63/32.08 inference(unit_resolution,[status(thm)],[16006, 15980])).
% 49.63/32.08 tff(16008,plain,
% 49.63/32.08 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB123)) | v124(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB123)) | v124(constB123, bitIndex1))),
% 49.63/32.08 inference(rewrite,[status(thm)],[])).
% 49.63/32.08 tff(16009,plain,
% 49.63/32.08 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB123)) | v124(constB123, bitIndex1))),
% 49.63/32.08 inference(quant_inst,[status(thm)],[])).
% 49.63/32.08 tff(16010,plain,
% 49.63/32.08 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB123)) | v124(constB123, bitIndex1)),
% 49.63/32.08 inference(modus_ponens,[status(thm)],[16009, 16008])).
% 49.63/32.08 tff(16011,plain,
% 49.63/32.08 (v124(constB123, bitIndex1)),
% 49.63/32.08 inference(unit_resolution,[status(thm)],[16010, 843, 15890])).
% 49.63/32.08 tff(16012,plain,
% 49.63/32.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1))),
% 49.63/32.08 inference(rewrite,[status(thm)],[])).
% 49.63/32.08 tff(16013,plain,
% 49.63/32.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1))),
% 49.63/32.08 inference(quant_inst,[status(thm)],[])).
% 49.63/32.08 tff(16014,plain,
% 49.63/32.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1)),
% 49.63/32.08 inference(modus_ponens,[status(thm)],[16013, 16012])).
% 49.63/32.08 tff(16015,plain,
% 49.63/32.08 ((~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1)),
% 49.63/32.08 inference(unit_resolution,[status(thm)],[16014, 857, 15909])).
% 49.63/32.08 tff(16016,plain,
% 49.63/32.08 (v121(constB123, bitIndex1)),
% 49.63/32.08 inference(unit_resolution,[status(thm)],[16015, 16011])).
% 49.63/32.08 tff(16017,plain,
% 49.63/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1))),
% 49.63/32.08 inference(rewrite,[status(thm)],[])).
% 49.63/32.08 tff(16018,plain,
% 49.63/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1))),
% 49.63/32.08 inference(quant_inst,[status(thm)],[])).
% 49.63/32.08 tff(16019,plain,
% 49.63/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1)),
% 49.63/32.08 inference(modus_ponens,[status(thm)],[16018, 16017])).
% 49.63/32.08 tff(16020,plain,
% 49.63/32.08 ((~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1)),
% 49.63/32.08 inference(unit_resolution,[status(thm)],[16019, 872, 15924])).
% 49.63/32.08 tff(16021,plain,
% 49.63/32.08 (v123(constB124, bitIndex1)),
% 49.63/32.08 inference(unit_resolution,[status(thm)],[16020, 16016])).
% 49.63/32.08 tff(16022,plain,
% 49.63/32.08 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))),
% 49.63/32.08 inference(rewrite,[status(thm)],[])).
% 49.63/32.08 tff(16023,plain,
% 49.63/32.08 ((v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1))) <=> (v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))),
% 49.63/32.08 inference(rewrite,[status(thm)],[])).
% 49.63/32.08 tff(16024,plain,
% 49.63/32.08 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124))))),
% 49.63/32.08 inference(monotonicity,[status(thm)],[16023])).
% 49.63/32.08 tff(16025,plain,
% 49.63/32.08 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))),
% 49.63/32.08 inference(transitivity,[status(thm)],[16024, 16022])).
% 49.63/32.08 tff(16026,plain,
% 49.63/32.08 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1)))),
% 49.63/32.08 inference(quant_inst,[status(thm)],[])).
% 49.63/32.08 tff(16027,plain,
% 49.63/32.08 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124))),
% 49.63/32.08 inference(modus_ponens,[status(thm)],[16026, 16025])).
% 49.63/32.08 tff(16028,plain,
% 49.63/32.08 (v84(constB124, bitIndex1) | (~v94(constB124))),
% 49.63/32.08 inference(unit_resolution,[status(thm)],[16027, 887, 16021])).
% 49.63/32.08 tff(16029,plain,
% 49.63/32.08 (v84(constB124, bitIndex1)),
% 49.63/32.08 inference(unit_resolution,[status(thm)],[16028, 15958])).
% 49.63/32.08 tff(16030,plain,
% 49.63/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))),
% 49.63/32.08 inference(rewrite,[status(thm)],[])).
% 49.63/32.08 tff(16031,plain,
% 49.63/32.08 (((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1)) <=> ((~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))),
% 49.63/32.08 inference(rewrite,[status(thm)],[])).
% 49.63/32.08 tff(16032,plain,
% 49.63/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1)))),
% 49.63/32.08 inference(monotonicity,[status(thm)],[16031])).
% 49.63/32.08 tff(16033,plain,
% 49.63/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))),
% 49.63/32.09 inference(transitivity,[status(thm)],[16032, 16030])).
% 49.63/32.09 tff(16034,plain,
% 49.63/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1))),
% 49.63/32.09 inference(quant_inst,[status(thm)],[])).
% 49.63/32.09 tff(16035,plain,
% 49.63/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1)),
% 49.63/32.09 inference(modus_ponens,[status(thm)],[16034, 16033])).
% 49.63/32.09 tff(16036,plain,
% 49.63/32.09 ((~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16035, 905, 15986])).
% 49.63/32.09 tff(16037,plain,
% 49.63/32.09 ((~v84(constB124, bitIndex1)) | v84(constB125, bitIndex1)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16036, 15998])).
% 49.63/32.09 tff(16038,plain,
% 49.63/32.09 (v84(constB125, bitIndex1)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16037, 16029])).
% 49.63/32.09 tff(16039,plain,
% 49.63/32.09 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB123)) | (~v124(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB123)) | (~v124(constB123, bitIndex0)))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16040,plain,
% 49.63/32.09 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB123)) | (~v124(constB123, bitIndex0)))),
% 49.63/32.09 inference(quant_inst,[status(thm)],[])).
% 49.63/32.09 tff(16041,plain,
% 49.63/32.09 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB123)) | (~v124(constB123, bitIndex0))),
% 49.63/32.09 inference(modus_ponens,[status(thm)],[16040, 16039])).
% 49.63/32.09 tff(16042,plain,
% 49.63/32.09 (~v124(constB123, bitIndex0)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16041, 921, 15890])).
% 49.63/32.09 tff(16043,plain,
% 49.63/32.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16044,plain,
% 49.63/32.09 ((v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0))) <=> ((~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16045,plain,
% 49.63/32.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0)))),
% 49.63/32.09 inference(monotonicity,[status(thm)],[16044])).
% 49.63/32.09 tff(16046,plain,
% 49.63/32.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))),
% 49.63/32.09 inference(transitivity,[status(thm)],[16045, 16043])).
% 49.63/32.09 tff(16047,plain,
% 49.63/32.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))),
% 49.63/32.09 inference(quant_inst,[status(thm)],[])).
% 49.63/32.09 tff(16048,plain,
% 49.63/32.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0)),
% 49.63/32.09 inference(modus_ponens,[status(thm)],[16047, 16046])).
% 49.63/32.09 tff(16049,plain,
% 49.63/32.09 ((~v121(constB123, bitIndex0)) | v124(constB123, bitIndex0)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16048, 607, 15909])).
% 49.63/32.09 tff(16050,plain,
% 49.63/32.09 (~v121(constB123, bitIndex0)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16049, 16042])).
% 49.63/32.09 tff(16051,plain,
% 49.63/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0)))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16052,plain,
% 49.63/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0)))),
% 49.63/32.09 inference(quant_inst,[status(thm)],[])).
% 49.63/32.09 tff(16053,plain,
% 49.63/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0))),
% 49.63/32.09 inference(modus_ponens,[status(thm)],[16052, 16051])).
% 49.63/32.09 tff(16054,plain,
% 49.63/32.09 (v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0))),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16053, 637, 15924])).
% 49.63/32.09 tff(16055,plain,
% 49.63/32.09 (~v123(constB124, bitIndex0)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16054, 16050])).
% 49.63/32.09 tff(16056,plain,
% 49.63/32.09 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16057,plain,
% 49.63/32.09 (((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0)) <=> ((~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16058,plain,
% 49.63/32.09 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124))))),
% 49.63/32.09 inference(monotonicity,[status(thm)],[16057])).
% 49.63/32.09 tff(16059,plain,
% 49.63/32.09 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))),
% 49.63/32.09 inference(transitivity,[status(thm)],[16058, 16056])).
% 49.63/32.09 tff(16060,plain,
% 49.63/32.09 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0))),
% 49.63/32.09 inference(quant_inst,[status(thm)],[])).
% 49.63/32.09 tff(16061,plain,
% 49.63/32.09 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124))),
% 49.63/32.09 inference(modus_ponens,[status(thm)],[16060, 16059])).
% 49.63/32.09 tff(16062,plain,
% 49.63/32.09 ((~v84(constB124, bitIndex0)) | (~v94(constB124))),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16061, 652, 16055])).
% 49.63/32.09 tff(16063,plain,
% 49.63/32.09 (~v84(constB124, bitIndex0)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16062, 15958])).
% 49.63/32.09 tff(16064,plain,
% 49.63/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16065,plain,
% 49.63/32.09 (((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0))) <=> (v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16066,plain,
% 49.63/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0))))),
% 49.63/32.09 inference(monotonicity,[status(thm)],[16065])).
% 49.63/32.09 tff(16067,plain,
% 49.63/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 49.63/32.09 inference(transitivity,[status(thm)],[16066, 16064])).
% 49.63/32.09 tff(16068,plain,
% 49.63/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 49.63/32.09 inference(quant_inst,[status(thm)],[])).
% 49.63/32.09 tff(16069,plain,
% 49.63/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0))),
% 49.63/32.09 inference(modus_ponens,[status(thm)],[16068, 16067])).
% 49.63/32.09 tff(16070,plain,
% 49.63/32.09 (v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0))),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16069, 184, 15986])).
% 49.63/32.09 tff(16071,plain,
% 49.63/32.09 (v84(constB124, bitIndex0) | (~v84(constB125, bitIndex0))),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16070, 15998])).
% 49.63/32.09 tff(16072,plain,
% 49.63/32.09 (~v84(constB125, bitIndex0)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16071, 16063])).
% 49.63/32.09 tff(16073,plain,
% 49.63/32.09 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)) | v119(constB125))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)) | v119(constB125))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16074,plain,
% 49.63/32.09 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)) | v119(constB125))),
% 49.63/32.09 inference(quant_inst,[status(thm)],[])).
% 49.63/32.09 tff(16075,plain,
% 49.63/32.09 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)) | v119(constB125)),
% 49.63/32.09 inference(modus_ponens,[status(thm)],[16074, 16073])).
% 49.63/32.09 tff(16076,plain,
% 49.63/32.09 (v119(constB125)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16075, 965, 16072, 16038, 16007])).
% 49.63/32.09 tff(16077,plain,
% 49.63/32.09 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB125) | (~v119(constB125)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB125) | (~v119(constB125)))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16078,plain,
% 49.63/32.09 (((~v119(constB125)) | v107(constB125)) <=> (v107(constB125) | (~v119(constB125)))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16079,plain,
% 49.63/32.09 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB125)) | v107(constB125))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB125) | (~v119(constB125))))),
% 49.63/32.09 inference(monotonicity,[status(thm)],[16078])).
% 49.63/32.09 tff(16080,plain,
% 49.63/32.09 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB125)) | v107(constB125))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB125) | (~v119(constB125)))),
% 49.63/32.09 inference(transitivity,[status(thm)],[16079, 16077])).
% 49.63/32.09 tff(16081,plain,
% 49.63/32.09 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB125)) | v107(constB125))),
% 49.63/32.09 inference(quant_inst,[status(thm)],[])).
% 49.63/32.09 tff(16082,plain,
% 49.63/32.09 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB125) | (~v119(constB125))),
% 49.63/32.09 inference(modus_ponens,[status(thm)],[16081, 16080])).
% 49.63/32.09 tff(16083,plain,
% 49.63/32.09 (v107(constB125)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16082, 976, 16076])).
% 49.63/32.09 tff(16084,assumption,(v26(constB125)), introduced(assumption)).
% 49.63/32.09 tff(16085,plain,
% 49.63/32.09 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB125))),
% 49.63/32.09 inference(quant_inst,[status(thm)],[])).
% 49.63/32.09 tff(16086,plain,
% 49.63/32.09 ($false),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16085, 55, 16084])).
% 49.63/32.09 tff(16087,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 49.63/32.09 tff(16088,plain,
% 49.63/32.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | (~v107(constB125)) | v106(constB125))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16089,plain,
% 49.63/32.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))),
% 49.63/32.09 inference(quant_inst,[status(thm)],[])).
% 49.63/32.09 tff(16090,plain,
% 49.63/32.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | (~v107(constB125)) | v106(constB125)),
% 49.63/32.09 inference(modus_ponens,[status(thm)],[16089, 16088])).
% 49.63/32.09 tff(16091,plain,
% 49.63/32.09 ((~v107(constB125)) | v106(constB125)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16090, 348, 16087])).
% 49.63/32.09 tff(16092,plain,
% 49.63/32.09 (v106(constB125)),
% 49.63/32.09 inference(unit_resolution,[status(thm)],[16091, 16083])).
% 49.63/32.09 tff(16093,plain,
% 49.63/32.09 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB125) | (~v106(constB125)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB125) | (~v106(constB125)))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16094,plain,
% 49.63/32.09 (((~v106(constB125)) | v102(constB125)) <=> (v102(constB125) | (~v106(constB125)))),
% 49.63/32.09 inference(rewrite,[status(thm)],[])).
% 49.63/32.09 tff(16095,plain,
% 49.63/32.09 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB125)) | v102(constB125))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB125) | (~v106(constB125))))),
% 49.63/32.09 inference(monotonicity,[status(thm)],[16094])).
% 49.63/32.09 tff(16096,plain,
% 49.63/32.09 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB125)) | v102(constB125))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB125) | (~v106(constB125)))),
% 49.63/32.10 inference(transitivity,[status(thm)],[16095, 16093])).
% 49.63/32.10 tff(16097,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB125)) | v102(constB125))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16098,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB125) | (~v106(constB125))),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16097, 16096])).
% 49.63/32.10 tff(16099,plain,
% 49.63/32.10 (v102(constB125)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16098, 504, 16092])).
% 49.63/32.10 tff(16100,plain,
% 49.63/32.10 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16101,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 49.63/32.10 tff(16102,plain,
% 49.63/32.10 (nextState(constB125, constB126)),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16101, 16100])).
% 49.63/32.10 tff(16103,plain,
% 49.63/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16104,plain,
% 49.63/32.10 (((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126)) <=> ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16105,plain,
% 49.63/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125))))),
% 49.63/32.10 inference(monotonicity,[status(thm)],[16104])).
% 49.63/32.10 tff(16106,plain,
% 49.63/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 49.63/32.10 inference(transitivity,[status(thm)],[16105, 16103])).
% 49.63/32.10 tff(16107,plain,
% 49.63/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16108,plain,
% 49.63/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125))),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16107, 16106])).
% 49.63/32.10 tff(16109,plain,
% 49.63/32.10 (v104(constB126) | (~v102(constB125))),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16108, 489, 16102])).
% 49.63/32.10 tff(16110,plain,
% 49.63/32.10 (v104(constB126)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16109, 16099])).
% 49.63/32.10 tff(16111,plain,
% 49.63/32.10 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16112,plain,
% 49.63/32.10 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16113,plain,
% 49.63/32.10 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126))),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16112, 16111])).
% 49.63/32.10 tff(16114,plain,
% 49.63/32.10 (~v98(constB126)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16113, 423, 16102, 15983])).
% 49.63/32.10 tff(16115,plain,
% 49.63/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16116,plain,
% 49.63/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16117,plain,
% 49.63/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB125, constB126)) | v96(constB126) | v98(constB126)),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16116, 16115])).
% 49.63/32.10 tff(16118,plain,
% 49.63/32.10 (v96(constB126) | v98(constB126)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16117, 437, 16102])).
% 49.63/32.10 tff(16119,plain,
% 49.63/32.10 (v96(constB126)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16118, 16114])).
% 49.63/32.10 tff(16120,plain,
% 49.63/32.10 (v1(constB126) <=> v1(constB126)),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16121,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 49.63/32.10 tff(16122,plain,
% 49.63/32.10 (v1(constB126)),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16121, 16120])).
% 49.63/32.10 tff(16123,plain,
% 49.63/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16124,plain,
% 49.63/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16125,plain,
% 49.63/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126))),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16124, 16123])).
% 49.63/32.10 tff(16126,plain,
% 49.63/32.10 (v95(constB126) | (~v96(constB126))),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16125, 455, 16102, 16122])).
% 49.63/32.10 tff(16127,plain,
% 49.63/32.10 (v95(constB126)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16126, 16119])).
% 49.63/32.10 tff(16128,plain,
% 49.63/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16129,plain,
% 49.63/32.10 (((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126)) <=> ((~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16130,plain,
% 49.63/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126))))),
% 49.63/32.10 inference(monotonicity,[status(thm)],[16129])).
% 49.63/32.10 tff(16131,plain,
% 49.63/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))),
% 49.63/32.10 inference(transitivity,[status(thm)],[16130, 16128])).
% 49.63/32.10 tff(16132,plain,
% 49.63/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16133,plain,
% 49.63/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126))),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16132, 16131])).
% 49.63/32.10 tff(16134,plain,
% 49.63/32.10 (v94(constB126) | (~v95(constB126)) | (~v104(constB126))),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16133, 470, 16102])).
% 49.63/32.10 tff(16135,plain,
% 49.63/32.10 (v94(constB126) | (~v104(constB126))),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16134, 16127])).
% 49.63/32.10 tff(16136,plain,
% 49.63/32.10 (v94(constB126)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16135, 16110])).
% 49.63/32.10 tff(16137,plain,
% 49.63/32.10 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB125)) | (~v84(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB125)) | (~v84(constB125, bitIndex2)))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16138,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB125)) | (~v84(constB125, bitIndex2)))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16139,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB125)) | (~v84(constB125, bitIndex2))),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16138, 16137])).
% 49.63/32.10 tff(16140,plain,
% 49.63/32.10 (~v115(constB125)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16139, 1036, 16007])).
% 49.63/32.10 tff(16141,plain,
% 49.63/32.10 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB125)) | (~v84(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB125)) | (~v84(constB125, bitIndex1)))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16142,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB125)) | (~v84(constB125, bitIndex1)))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16143,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB125)) | (~v84(constB125, bitIndex1))),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 49.63/32.10 tff(16144,plain,
% 49.63/32.10 (~v113(constB125)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16143, 1058, 16038])).
% 49.63/32.10 tff(16145,plain,
% 49.63/32.10 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB125)) | (~v84(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB125)) | (~v84(constB125, bitIndex1)))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16146,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB125)) | (~v84(constB125, bitIndex1)))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16147,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB125)) | (~v84(constB125, bitIndex1))),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16146, 16145])).
% 49.63/32.10 tff(16148,plain,
% 49.63/32.10 (~v118(constB125)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16147, 1069, 16038])).
% 49.63/32.10 tff(16149,plain,
% 49.63/32.10 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB125)) | (~v84(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB125)) | (~v84(constB125, bitIndex1)))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16150,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB125)) | (~v84(constB125, bitIndex1)))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16151,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB125)) | (~v84(constB125, bitIndex1))),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16150, 16149])).
% 49.63/32.10 tff(16152,plain,
% 49.63/32.10 (~v172(constB125)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16151, 1080, 16038])).
% 49.63/32.10 tff(16153,plain,
% 49.63/32.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB125)) | (~v84(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB125)) | (~v84(constB125, bitIndex2)))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16154,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB125)) | (~v84(constB125, bitIndex2)))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16155,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB125)) | (~v84(constB125, bitIndex2))),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16154, 16153])).
% 49.63/32.10 tff(16156,plain,
% 49.63/32.10 (~v116(constB125)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16155, 1047, 16007])).
% 49.63/32.10 tff(16157,plain,
% 49.63/32.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB125)) | (~v84(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB125)) | (~v84(constB125, bitIndex1)))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16158,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB125)) | (~v84(constB125, bitIndex1)))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16159,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB125)) | (~v84(constB125, bitIndex1))),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16158, 16157])).
% 49.63/32.10 tff(16160,plain,
% 49.63/32.10 (~v145(constB125)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16159, 1091, 16038])).
% 49.63/32.10 tff(16161,plain,
% 49.63/32.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB125) | (~v124(constB125, bitIndex2)) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB125) | (~v124(constB125, bitIndex2)) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16162,plain,
% 49.63/32.10 ((v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex2))) <=> (v145(constB125) | (~v124(constB125, bitIndex2)) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16163,plain,
% 49.63/32.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB125) | (~v124(constB125, bitIndex2)) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125)))),
% 49.63/32.10 inference(monotonicity,[status(thm)],[16162])).
% 49.63/32.10 tff(16164,plain,
% 49.63/32.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB125) | (~v124(constB125, bitIndex2)) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125))),
% 49.63/32.10 inference(transitivity,[status(thm)],[16163, 16161])).
% 49.63/32.10 tff(16165,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex2)))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16166,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB125) | (~v124(constB125, bitIndex2)) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125)),
% 49.63/32.10 inference(modus_ponens,[status(thm)],[16165, 16164])).
% 49.63/32.10 tff(16167,plain,
% 49.63/32.10 (~v124(constB125, bitIndex2)),
% 49.63/32.10 inference(unit_resolution,[status(thm)],[16166, 1170, 16160, 16156, 16152, 16148, 16144, 16140])).
% 49.63/32.10 tff(16168,plain,
% 49.63/32.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16169,plain,
% 49.63/32.10 ((v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2))) <=> ((~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))),
% 49.63/32.10 inference(rewrite,[status(thm)],[])).
% 49.63/32.10 tff(16170,plain,
% 49.63/32.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2)))),
% 49.63/32.10 inference(monotonicity,[status(thm)],[16169])).
% 49.63/32.10 tff(16171,plain,
% 49.63/32.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))),
% 49.63/32.10 inference(transitivity,[status(thm)],[16170, 16168])).
% 49.63/32.10 tff(16172,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))),
% 49.63/32.10 inference(quant_inst,[status(thm)],[])).
% 49.63/32.10 tff(16173,plain,
% 49.63/32.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2)),
% 49.63/32.11 inference(modus_ponens,[status(thm)],[16172, 16171])).
% 49.63/32.11 tff(16174,plain,
% 49.63/32.11 ((~v121(constB125, bitIndex2)) | v124(constB125, bitIndex2)),
% 49.63/32.11 inference(unit_resolution,[status(thm)],[16173, 1187, 16087])).
% 49.63/32.11 tff(16175,plain,
% 49.63/32.11 (~v121(constB125, bitIndex2)),
% 49.63/32.11 inference(unit_resolution,[status(thm)],[16174, 16167])).
% 49.63/32.11 tff(16176,plain,
% 49.63/32.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2)))),
% 49.63/32.11 inference(rewrite,[status(thm)],[])).
% 49.63/32.11 tff(16177,plain,
% 49.63/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2)))),
% 49.63/32.11 inference(quant_inst,[status(thm)],[])).
% 49.63/32.11 tff(16178,plain,
% 49.63/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2))),
% 49.63/32.11 inference(modus_ponens,[status(thm)],[16177, 16176])).
% 49.63/32.11 tff(16179,plain,
% 49.63/32.11 (v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2))),
% 49.63/32.11 inference(unit_resolution,[status(thm)],[16178, 1205, 16102])).
% 49.63/32.11 tff(16180,plain,
% 49.63/32.11 (~v123(constB126, bitIndex2)),
% 49.63/32.11 inference(unit_resolution,[status(thm)],[16179, 16175])).
% 49.63/32.11 tff(16181,plain,
% 49.63/32.11 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))),
% 49.63/32.11 inference(rewrite,[status(thm)],[])).
% 49.63/32.11 tff(16182,plain,
% 49.63/32.11 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))),
% 49.63/32.11 inference(quant_inst,[status(thm)],[])).
% 49.63/32.11 tff(16183,plain,
% 49.63/32.11 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126))),
% 49.63/32.11 inference(modus_ponens,[status(thm)],[16182, 16181])).
% 49.63/32.11 tff(16184,plain,
% 49.63/32.11 ((~v84(constB126, bitIndex2)) | (~v94(constB126))),
% 49.63/32.11 inference(unit_resolution,[status(thm)],[16183, 1220, 16180])).
% 49.63/32.11 tff(16185,plain,
% 49.63/32.11 (~v84(constB126, bitIndex2)),
% 49.63/32.11 inference(unit_resolution,[status(thm)],[16184, 16136])).
% 49.63/32.11 tff(16186,plain,
% 49.63/32.11 ((~v1(constB127)) <=> (~v1(constB127))),
% 49.63/32.11 inference(rewrite,[status(thm)],[])).
% 49.63/32.11 tff(16187,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 49.63/32.11 tff(16188,plain,
% 49.63/32.11 (~v1(constB127)),
% 49.63/32.11 inference(modus_ponens,[status(thm)],[16187, 16186])).
% 49.63/32.11 tff(16189,plain,
% 49.63/32.11 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 49.63/32.11 inference(rewrite,[status(thm)],[])).
% 49.63/32.11 tff(16190,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 49.63/32.11 tff(16191,plain,
% 49.63/32.11 (nextState(constB126, constB127)),
% 49.63/32.11 inference(modus_ponens,[status(thm)],[16190, 16189])).
% 49.63/32.11 tff(16192,plain,
% 49.63/32.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 49.63/32.11 inference(rewrite,[status(thm)],[])).
% 49.63/32.11 tff(16193,plain,
% 49.63/32.11 (((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 49.63/32.11 inference(rewrite,[status(thm)],[])).
% 49.63/32.11 tff(16194,plain,
% 49.63/32.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127))))),
% 49.63/32.11 inference(monotonicity,[status(thm)],[16193])).
% 49.63/32.11 tff(16195,plain,
% 49.63/32.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 49.63/32.11 inference(transitivity,[status(thm)],[16194, 16192])).
% 49.63/32.11 tff(16196,plain,
% 49.63/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))),
% 49.63/32.11 inference(quant_inst,[status(thm)],[])).
% 49.63/32.11 tff(16197,plain,
% 49.63/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127))),
% 49.63/32.11 inference(modus_ponens,[status(thm)],[16196, 16195])).
% 49.63/32.11 tff(16198,plain,
% 49.63/32.11 (~v95(constB127)),
% 49.63/32.11 inference(unit_resolution,[status(thm)],[16197, 110, 16191, 16188])).
% 49.63/32.11 tff(16199,plain,
% 49.63/32.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))),
% 49.63/32.11 inference(rewrite,[status(thm)],[])).
% 49.63/32.11 tff(16200,plain,
% 49.63/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))),
% 49.63/32.11 inference(quant_inst,[status(thm)],[])).
% 49.63/32.11 tff(16201,plain,
% 49.63/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127))),
% 49.63/32.11 inference(modus_ponens,[status(thm)],[16200, 16199])).
% 49.63/32.11 tff(16202,plain,
% 49.63/32.11 (v95(constB127) | (~v94(constB127))),
% 49.63/32.11 inference(unit_resolution,[status(thm)],[16201, 127, 16191])).
% 49.63/32.11 tff(16203,plain,
% 49.63/32.11 (~v94(constB127)),
% 49.63/32.11 inference(unit_resolution,[status(thm)],[16202, 16198])).
% 49.63/32.11 tff(16204,plain,
% 49.63/32.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 49.63/32.11 inference(rewrite,[status(thm)],[])).
% 49.63/32.11 tff(16205,plain,
% 49.63/32.11 (((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2))) <=> (v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 49.63/32.11 inference(rewrite,[status(thm)],[])).
% 49.63/32.11 tff(16206,plain,
% 49.63/32.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2))))),
% 49.63/32.11 inference(monotonicity,[status(thm)],[16205])).
% 49.63/32.11 tff(16207,plain,
% 49.63/32.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 49.63/32.11 inference(transitivity,[status(thm)],[16206, 16204])).
% 49.63/32.11 tff(16208,plain,
% 49.63/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 49.63/32.11 inference(quant_inst,[status(thm)],[])).
% 49.63/32.11 tff(16209,plain,
% 49.63/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2))),
% 49.63/32.11 inference(modus_ponens,[status(thm)],[16208, 16207])).
% 49.63/32.11 tff(16210,plain,
% 49.63/32.11 (v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2))),
% 49.63/32.11 inference(unit_resolution,[status(thm)],[16209, 142, 16191])).
% 49.63/32.11 tff(16211,plain,
% 49.63/32.11 (v84(constB126, bitIndex2) | (~v84(constB127, bitIndex2))),
% 49.63/32.11 inference(unit_resolution,[status(thm)],[16210, 16203])).
% 49.63/32.11 tff(16212,plain,
% 49.63/32.11 (~v84(constB127, bitIndex2)),
% 49.63/32.11 inference(unit_resolution,[status(thm)],[16211, 16185])).
% 49.63/32.11 tff(16213,plain,
% 49.63/32.11 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB125) | (~v124(constB125, bitIndex1)) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB125) | (~v124(constB125, bitIndex1)) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125))),
% 49.63/32.11 inference(rewrite,[status(thm)],[])).
% 49.63/32.11 tff(16214,plain,
% 49.63/32.11 ((v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex1))) <=> (v145(constB125) | (~v124(constB125, bitIndex1)) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125))),
% 49.63/32.11 inference(rewrite,[status(thm)],[])).
% 49.63/32.11 tff(16215,plain,
% 49.63/32.11 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB125) | (~v124(constB125, bitIndex1)) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125)))),
% 49.63/32.11 inference(monotonicity,[status(thm)],[16214])).
% 49.63/32.11 tff(16216,plain,
% 49.63/32.11 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB125) | (~v124(constB125, bitIndex1)) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125))),
% 49.63/32.12 inference(transitivity,[status(thm)],[16215, 16213])).
% 49.63/32.12 tff(16217,plain,
% 49.63/32.12 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex1)))),
% 49.63/32.12 inference(quant_inst,[status(thm)],[])).
% 49.63/32.12 tff(16218,plain,
% 49.63/32.12 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB125) | (~v124(constB125, bitIndex1)) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125)),
% 49.63/32.12 inference(modus_ponens,[status(thm)],[16217, 16216])).
% 49.63/32.12 tff(16219,plain,
% 49.63/32.12 (~v124(constB125, bitIndex1)),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16218, 1105, 16160, 16156, 16152, 16148, 16144, 16140])).
% 49.63/32.12 tff(16220,plain,
% 49.63/32.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB125, bitIndex1)) | v26(constB125) | v124(constB125, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB125, bitIndex1)) | v26(constB125) | v124(constB125, bitIndex1))),
% 49.63/32.12 inference(rewrite,[status(thm)],[])).
% 49.63/32.12 tff(16221,plain,
% 49.63/32.12 ((v26(constB125) | v124(constB125, bitIndex1) | (~v121(constB125, bitIndex1))) <=> ((~v121(constB125, bitIndex1)) | v26(constB125) | v124(constB125, bitIndex1))),
% 49.63/32.12 inference(rewrite,[status(thm)],[])).
% 49.63/32.12 tff(16222,plain,
% 49.63/32.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB125) | v124(constB125, bitIndex1) | (~v121(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB125, bitIndex1)) | v26(constB125) | v124(constB125, bitIndex1)))),
% 49.63/32.12 inference(monotonicity,[status(thm)],[16221])).
% 49.63/32.12 tff(16223,plain,
% 49.63/32.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB125) | v124(constB125, bitIndex1) | (~v121(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB125, bitIndex1)) | v26(constB125) | v124(constB125, bitIndex1))),
% 49.63/32.12 inference(transitivity,[status(thm)],[16222, 16220])).
% 49.63/32.12 tff(16224,plain,
% 49.63/32.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB125) | v124(constB125, bitIndex1) | (~v121(constB125, bitIndex1)))),
% 49.63/32.12 inference(quant_inst,[status(thm)],[])).
% 49.63/32.12 tff(16225,plain,
% 49.63/32.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB125, bitIndex1)) | v26(constB125) | v124(constB125, bitIndex1)),
% 49.63/32.12 inference(modus_ponens,[status(thm)],[16224, 16223])).
% 49.63/32.12 tff(16226,plain,
% 49.63/32.12 ((~v121(constB125, bitIndex1)) | v124(constB125, bitIndex1)),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16225, 233, 16087])).
% 49.63/32.12 tff(16227,plain,
% 49.63/32.12 (~v121(constB125, bitIndex1)),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16226, 16219])).
% 49.63/32.12 tff(16228,plain,
% 49.63/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v121(constB125, bitIndex1) | (~v123(constB126, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB125, constB126)) | v121(constB125, bitIndex1) | (~v123(constB126, bitIndex1)))),
% 49.63/32.12 inference(rewrite,[status(thm)],[])).
% 49.63/32.12 tff(16229,plain,
% 49.63/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v121(constB125, bitIndex1) | (~v123(constB126, bitIndex1)))),
% 49.63/32.12 inference(quant_inst,[status(thm)],[])).
% 49.63/32.12 tff(16230,plain,
% 49.63/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB125, constB126)) | v121(constB125, bitIndex1) | (~v123(constB126, bitIndex1))),
% 49.63/32.12 inference(modus_ponens,[status(thm)],[16229, 16228])).
% 49.63/32.12 tff(16231,plain,
% 49.63/32.12 (v121(constB125, bitIndex1) | (~v123(constB126, bitIndex1))),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16230, 254, 16102])).
% 49.63/32.12 tff(16232,plain,
% 49.63/32.12 (~v123(constB126, bitIndex1)),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16231, 16227])).
% 49.63/32.12 tff(16233,plain,
% 49.63/32.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | v123(constB126, bitIndex1) | (~v94(constB126)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB126, bitIndex1)) | v123(constB126, bitIndex1) | (~v94(constB126)))),
% 49.63/32.12 inference(rewrite,[status(thm)],[])).
% 49.63/32.12 tff(16234,plain,
% 49.63/32.12 (((~v84(constB126, bitIndex1)) | (~v94(constB126)) | v123(constB126, bitIndex1)) <=> ((~v84(constB126, bitIndex1)) | v123(constB126, bitIndex1) | (~v94(constB126)))),
% 49.63/32.12 inference(rewrite,[status(thm)],[])).
% 49.63/32.12 tff(16235,plain,
% 49.63/32.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | (~v94(constB126)) | v123(constB126, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | v123(constB126, bitIndex1) | (~v94(constB126))))),
% 49.63/32.12 inference(monotonicity,[status(thm)],[16234])).
% 49.63/32.12 tff(16236,plain,
% 49.63/32.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | (~v94(constB126)) | v123(constB126, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB126, bitIndex1)) | v123(constB126, bitIndex1) | (~v94(constB126)))),
% 49.63/32.12 inference(transitivity,[status(thm)],[16235, 16233])).
% 49.63/32.12 tff(16237,plain,
% 49.63/32.12 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | (~v94(constB126)) | v123(constB126, bitIndex1))),
% 49.63/32.12 inference(quant_inst,[status(thm)],[])).
% 49.63/32.12 tff(16238,plain,
% 49.63/32.12 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB126, bitIndex1)) | v123(constB126, bitIndex1) | (~v94(constB126))),
% 49.63/32.12 inference(modus_ponens,[status(thm)],[16237, 16236])).
% 49.63/32.12 tff(16239,plain,
% 49.63/32.12 ((~v84(constB126, bitIndex1)) | (~v94(constB126))),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16238, 532, 16232])).
% 49.63/32.12 tff(16240,plain,
% 49.63/32.12 (~v84(constB126, bitIndex1)),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16239, 16136])).
% 49.63/32.12 tff(16241,plain,
% 49.63/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex1)))),
% 49.63/32.12 inference(rewrite,[status(thm)],[])).
% 49.63/32.12 tff(16242,plain,
% 49.63/32.12 (((~nextState(constB126, constB127)) | v84(constB126, bitIndex1) | v94(constB127) | (~v84(constB127, bitIndex1))) <=> (v84(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex1)))),
% 49.63/32.12 inference(rewrite,[status(thm)],[])).
% 49.63/32.12 tff(16243,plain,
% 49.63/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex1) | v94(constB127) | (~v84(constB127, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex1))))),
% 49.63/32.12 inference(monotonicity,[status(thm)],[16242])).
% 49.63/32.12 tff(16244,plain,
% 49.63/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex1) | v94(constB127) | (~v84(constB127, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex1)))),
% 49.63/32.12 inference(transitivity,[status(thm)],[16243, 16241])).
% 49.63/32.12 tff(16245,plain,
% 49.63/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex1) | v94(constB127) | (~v84(constB127, bitIndex1)))),
% 49.63/32.12 inference(quant_inst,[status(thm)],[])).
% 49.63/32.12 tff(16246,plain,
% 49.63/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex1))),
% 49.63/32.12 inference(modus_ponens,[status(thm)],[16245, 16244])).
% 49.63/32.12 tff(16247,plain,
% 49.63/32.12 (v84(constB126, bitIndex1) | v94(constB127) | (~v84(constB127, bitIndex1))),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16246, 163, 16191])).
% 49.63/32.12 tff(16248,plain,
% 49.63/32.12 (v84(constB126, bitIndex1) | (~v84(constB127, bitIndex1))),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16247, 16203])).
% 49.63/32.12 tff(16249,plain,
% 49.63/32.12 (~v84(constB127, bitIndex1)),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16248, 16240])).
% 49.63/32.12 tff(16250,plain,
% 49.63/32.12 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB125) | v124(constB125, bitIndex0) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB125) | v124(constB125, bitIndex0) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125))),
% 49.63/32.12 inference(rewrite,[status(thm)],[])).
% 49.63/32.12 tff(16251,plain,
% 49.63/32.12 ((v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | v124(constB125, bitIndex0)) <=> (v145(constB125) | v124(constB125, bitIndex0) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125))),
% 49.63/32.12 inference(rewrite,[status(thm)],[])).
% 49.63/32.12 tff(16252,plain,
% 49.63/32.12 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | v124(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB125) | v124(constB125, bitIndex0) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125)))),
% 49.63/32.12 inference(monotonicity,[status(thm)],[16251])).
% 49.63/32.12 tff(16253,plain,
% 49.63/32.12 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | v124(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB125) | v124(constB125, bitIndex0) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125))),
% 49.63/32.12 inference(transitivity,[status(thm)],[16252, 16250])).
% 49.63/32.12 tff(16254,plain,
% 49.63/32.12 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | v124(constB125, bitIndex0))),
% 49.63/32.12 inference(quant_inst,[status(thm)],[])).
% 49.63/32.12 tff(16255,plain,
% 49.63/32.12 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB125) | v124(constB125, bitIndex0) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125)),
% 49.63/32.12 inference(modus_ponens,[status(thm)],[16254, 16253])).
% 49.63/32.12 tff(16256,plain,
% 49.63/32.12 (v124(constB125, bitIndex0)),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16255, 1374, 16160, 16156, 16152, 16148, 16144, 16140])).
% 49.63/32.12 tff(16257,plain,
% 49.63/32.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))),
% 49.63/32.12 inference(rewrite,[status(thm)],[])).
% 49.63/32.12 tff(16258,plain,
% 49.63/32.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))),
% 49.63/32.12 inference(quant_inst,[status(thm)],[])).
% 49.63/32.12 tff(16259,plain,
% 49.63/32.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0)),
% 49.63/32.12 inference(modus_ponens,[status(thm)],[16258, 16257])).
% 49.63/32.12 tff(16260,plain,
% 49.63/32.12 ((~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0)),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16259, 1391, 16087])).
% 49.63/32.12 tff(16261,plain,
% 49.63/32.12 (v121(constB125, bitIndex0)),
% 49.63/32.12 inference(unit_resolution,[status(thm)],[16260, 16256])).
% 49.63/32.12 tff(16262,plain,
% 49.63/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0))),
% 49.63/32.12 inference(rewrite,[status(thm)],[])).
% 49.63/32.12 tff(16263,plain,
% 49.63/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0))),
% 49.63/32.12 inference(quant_inst,[status(thm)],[])).
% 49.63/32.12 tff(16264,plain,
% 49.63/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0)),
% 49.63/32.13 inference(modus_ponens,[status(thm)],[16263, 16262])).
% 49.63/32.13 tff(16265,plain,
% 49.63/32.13 ((~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16264, 1406, 16102])).
% 49.63/32.13 tff(16266,plain,
% 49.63/32.13 (v123(constB126, bitIndex0)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16265, 16261])).
% 49.63/32.13 tff(16267,plain,
% 49.63/32.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16268,plain,
% 49.63/32.13 ((v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0))) <=> (v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16269,plain,
% 49.63/32.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126))))),
% 49.63/32.13 inference(monotonicity,[status(thm)],[16268])).
% 49.63/32.13 tff(16270,plain,
% 49.63/32.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))),
% 49.63/32.13 inference(transitivity,[status(thm)],[16269, 16267])).
% 49.63/32.13 tff(16271,plain,
% 49.63/32.13 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0)))),
% 49.63/32.13 inference(quant_inst,[status(thm)],[])).
% 49.63/32.13 tff(16272,plain,
% 49.63/32.13 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126))),
% 49.63/32.13 inference(modus_ponens,[status(thm)],[16271, 16270])).
% 49.63/32.13 tff(16273,plain,
% 49.63/32.13 (v84(constB126, bitIndex0) | (~v94(constB126))),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16272, 1421, 16266])).
% 49.63/32.13 tff(16274,plain,
% 49.63/32.13 (v84(constB126, bitIndex0)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16273, 16136])).
% 49.63/32.13 tff(16275,plain,
% 49.63/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16276,plain,
% 49.63/32.13 (((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0)) <=> ((~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16277,plain,
% 49.63/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0)))),
% 49.63/32.13 inference(monotonicity,[status(thm)],[16276])).
% 49.63/32.13 tff(16278,plain,
% 49.63/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))),
% 49.63/32.13 inference(transitivity,[status(thm)],[16277, 16275])).
% 49.63/32.13 tff(16279,plain,
% 49.63/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0))),
% 49.63/32.13 inference(quant_inst,[status(thm)],[])).
% 49.63/32.13 tff(16280,plain,
% 49.63/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0)),
% 49.63/32.13 inference(modus_ponens,[status(thm)],[16279, 16278])).
% 49.63/32.13 tff(16281,plain,
% 49.63/32.13 ((~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16280, 1439, 16191])).
% 49.63/32.13 tff(16282,plain,
% 49.63/32.13 ((~v84(constB126, bitIndex0)) | v84(constB127, bitIndex0)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16281, 16203])).
% 49.63/32.13 tff(16283,plain,
% 49.63/32.13 (v84(constB127, bitIndex0)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16282, 16274])).
% 49.63/32.13 tff(16284,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB127, bitIndex0)) | v84(constB127, bitIndex1) | v84(constB127, bitIndex2) | v145(constB127))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB127, bitIndex0)) | v84(constB127, bitIndex1) | v84(constB127, bitIndex2) | v145(constB127))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16285,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB127, bitIndex0)) | v84(constB127, bitIndex1) | v84(constB127, bitIndex2) | v145(constB127))),
% 49.63/32.13 inference(quant_inst,[status(thm)],[])).
% 49.63/32.13 tff(16286,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB127, bitIndex0)) | v84(constB127, bitIndex1) | v84(constB127, bitIndex2) | v145(constB127)),
% 49.63/32.13 inference(modus_ponens,[status(thm)],[16285, 16284])).
% 49.63/32.13 tff(16287,plain,
% 49.63/32.13 (v145(constB127)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16286, 1268, 16283, 16249, 16212])).
% 49.63/32.13 tff(16288,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB127) | (~v145(constB127)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB127) | (~v145(constB127)))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16289,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB127) | (~v145(constB127)))),
% 49.63/32.13 inference(quant_inst,[status(thm)],[])).
% 49.63/32.13 tff(16290,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB127) | (~v145(constB127))),
% 49.63/32.13 inference(modus_ponens,[status(thm)],[16289, 16288])).
% 49.63/32.13 tff(16291,plain,
% 49.63/32.13 (v112(constB127)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16290, 1253, 16287])).
% 49.63/32.13 tff(16292,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB127) | (~v112(constB127)))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16293,plain,
% 49.63/32.13 (((~v112(constB127)) | v111(constB127)) <=> (v111(constB127) | (~v112(constB127)))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16294,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB127)) | v111(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB127) | (~v112(constB127))))),
% 49.63/32.13 inference(monotonicity,[status(thm)],[16293])).
% 49.63/32.13 tff(16295,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB127)) | v111(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB127) | (~v112(constB127)))),
% 49.63/32.13 inference(transitivity,[status(thm)],[16294, 16292])).
% 49.63/32.13 tff(16296,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB127)) | v111(constB127))),
% 49.63/32.13 inference(quant_inst,[status(thm)],[])).
% 49.63/32.13 tff(16297,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB127) | (~v112(constB127))),
% 49.63/32.13 inference(modus_ponens,[status(thm)],[16296, 16295])).
% 49.63/32.13 tff(16298,plain,
% 49.63/32.13 (v111(constB127)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16297, 278, 16291])).
% 49.63/32.13 tff(16299,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB127)) | v110(constB127))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB127)) | v110(constB127))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16300,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB127)) | v110(constB127))),
% 49.63/32.13 inference(quant_inst,[status(thm)],[])).
% 49.63/32.13 tff(16301,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB127)) | v110(constB127)),
% 49.63/32.13 inference(modus_ponens,[status(thm)],[16300, 16299])).
% 49.63/32.13 tff(16302,plain,
% 49.63/32.13 (v110(constB127)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16301, 292, 16298])).
% 49.63/32.13 tff(16303,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB127) | (~v110(constB127)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB127) | (~v110(constB127)))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16304,plain,
% 49.63/32.13 (((~v110(constB127)) | v109(constB127)) <=> (v109(constB127) | (~v110(constB127)))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16305,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB127)) | v109(constB127))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB127) | (~v110(constB127))))),
% 49.63/32.13 inference(monotonicity,[status(thm)],[16304])).
% 49.63/32.13 tff(16306,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB127)) | v109(constB127))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB127) | (~v110(constB127)))),
% 49.63/32.13 inference(transitivity,[status(thm)],[16305, 16303])).
% 49.63/32.13 tff(16307,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB127)) | v109(constB127))),
% 49.63/32.13 inference(quant_inst,[status(thm)],[])).
% 49.63/32.13 tff(16308,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB127) | (~v110(constB127))),
% 49.63/32.13 inference(modus_ponens,[status(thm)],[16307, 16306])).
% 49.63/32.13 tff(16309,plain,
% 49.63/32.13 (v109(constB127)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16308, 306, 16302])).
% 49.63/32.13 tff(16310,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v109(constB127)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v109(constB127)))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16311,plain,
% 49.63/32.13 (((~v109(constB127)) | v108(constB127)) <=> (v108(constB127) | (~v109(constB127)))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16312,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v109(constB127))))),
% 49.63/32.13 inference(monotonicity,[status(thm)],[16311])).
% 49.63/32.13 tff(16313,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v109(constB127)))),
% 49.63/32.13 inference(transitivity,[status(thm)],[16312, 16310])).
% 49.63/32.13 tff(16314,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB127)) | v108(constB127))),
% 49.63/32.13 inference(quant_inst,[status(thm)],[])).
% 49.63/32.13 tff(16315,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v109(constB127))),
% 49.63/32.13 inference(modus_ponens,[status(thm)],[16314, 16313])).
% 49.63/32.13 tff(16316,plain,
% 49.63/32.13 (v108(constB127)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16315, 320, 16309])).
% 49.63/32.13 tff(16317,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB127) | (~v108(constB127)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB127) | (~v108(constB127)))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16318,plain,
% 49.63/32.13 (((~v108(constB127)) | v107(constB127)) <=> (v107(constB127) | (~v108(constB127)))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16319,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB127)) | v107(constB127))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB127) | (~v108(constB127))))),
% 49.63/32.13 inference(monotonicity,[status(thm)],[16318])).
% 49.63/32.13 tff(16320,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB127)) | v107(constB127))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB127) | (~v108(constB127)))),
% 49.63/32.13 inference(transitivity,[status(thm)],[16319, 16317])).
% 49.63/32.13 tff(16321,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB127)) | v107(constB127))),
% 49.63/32.13 inference(quant_inst,[status(thm)],[])).
% 49.63/32.13 tff(16322,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB127) | (~v108(constB127))),
% 49.63/32.13 inference(modus_ponens,[status(thm)],[16321, 16320])).
% 49.63/32.13 tff(16323,plain,
% 49.63/32.13 (v107(constB127)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16322, 334, 16316])).
% 49.63/32.13 tff(16324,assumption,(v26(constB127)), introduced(assumption)).
% 49.63/32.13 tff(16325,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB127))),
% 49.63/32.13 inference(quant_inst,[status(thm)],[])).
% 49.63/32.13 tff(16326,plain,
% 49.63/32.13 ($false),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16325, 55, 16324])).
% 49.63/32.13 tff(16327,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 49.63/32.13 tff(16328,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB127) | (~v107(constB127)) | v106(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB127) | (~v107(constB127)) | v106(constB127))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16329,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB127) | (~v107(constB127)) | v106(constB127))),
% 49.63/32.13 inference(quant_inst,[status(thm)],[])).
% 49.63/32.13 tff(16330,plain,
% 49.63/32.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB127) | (~v107(constB127)) | v106(constB127)),
% 49.63/32.13 inference(modus_ponens,[status(thm)],[16329, 16328])).
% 49.63/32.13 tff(16331,plain,
% 49.63/32.13 ((~v107(constB127)) | v106(constB127)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16330, 348, 16327])).
% 49.63/32.13 tff(16332,plain,
% 49.63/32.13 (v106(constB127)),
% 49.63/32.13 inference(unit_resolution,[status(thm)],[16331, 16323])).
% 49.63/32.13 tff(16333,plain,
% 49.63/32.13 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB127) | (~v106(constB127)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB127) | (~v106(constB127)))),
% 49.63/32.13 inference(rewrite,[status(thm)],[])).
% 49.63/32.13 tff(16334,plain,
% 49.63/32.13 (((~v106(constB127)) | v102(constB127)) <=> (v102(constB127) | (~v106(constB127)))),
% 49.63/32.14 inference(rewrite,[status(thm)],[])).
% 49.63/32.14 tff(16335,plain,
% 49.63/32.14 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB127)) | v102(constB127))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB127) | (~v106(constB127))))),
% 49.63/32.14 inference(monotonicity,[status(thm)],[16334])).
% 49.63/32.14 tff(16336,plain,
% 49.63/32.14 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB127)) | v102(constB127))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB127) | (~v106(constB127)))),
% 49.63/32.14 inference(transitivity,[status(thm)],[16335, 16333])).
% 49.63/32.14 tff(16337,plain,
% 49.63/32.14 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB127)) | v102(constB127))),
% 49.63/32.14 inference(quant_inst,[status(thm)],[])).
% 49.63/32.14 tff(16338,plain,
% 49.63/32.14 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB127) | (~v106(constB127))),
% 49.63/32.14 inference(modus_ponens,[status(thm)],[16337, 16336])).
% 49.63/32.14 tff(16339,plain,
% 49.63/32.14 (v102(constB127)),
% 49.63/32.14 inference(unit_resolution,[status(thm)],[16338, 504, 16332])).
% 49.63/32.14 tff(16340,plain,
% 49.63/32.14 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 49.63/32.14 inference(rewrite,[status(thm)],[])).
% 49.63/32.14 tff(16341,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 49.63/32.14 tff(16342,plain,
% 49.63/32.14 (nextState(constB127, constB128)),
% 49.63/32.14 inference(modus_ponens,[status(thm)],[16341, 16340])).
% 49.63/32.14 tff(16343,plain,
% 49.63/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))),
% 49.63/32.14 inference(rewrite,[status(thm)],[])).
% 49.63/32.14 tff(16344,plain,
% 49.63/32.14 (((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128)) <=> ((~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))),
% 49.63/32.14 inference(rewrite,[status(thm)],[])).
% 49.63/32.14 tff(16345,plain,
% 49.63/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127))))),
% 49.63/32.14 inference(monotonicity,[status(thm)],[16344])).
% 49.63/32.14 tff(16346,plain,
% 49.63/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))),
% 49.63/32.14 inference(transitivity,[status(thm)],[16345, 16343])).
% 49.63/32.14 tff(16347,plain,
% 49.63/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128))),
% 49.63/32.14 inference(quant_inst,[status(thm)],[])).
% 49.63/32.14 tff(16348,plain,
% 49.63/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127))),
% 49.63/32.14 inference(modus_ponens,[status(thm)],[16347, 16346])).
% 49.63/32.14 tff(16349,plain,
% 49.63/32.14 (v104(constB128) | (~v102(constB127))),
% 49.63/32.14 inference(unit_resolution,[status(thm)],[16348, 489, 16342])).
% 49.63/32.14 tff(16350,plain,
% 49.63/32.14 (v104(constB128)),
% 49.63/32.14 inference(unit_resolution,[status(thm)],[16349, 16339])).
% 49.63/32.14 tff(16351,plain,
% 49.63/32.14 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128)))),
% 49.63/32.14 inference(rewrite,[status(thm)],[])).
% 49.63/32.14 tff(16352,plain,
% 49.63/32.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128)))),
% 49.63/32.14 inference(quant_inst,[status(thm)],[])).
% 49.63/32.14 tff(16353,plain,
% 49.63/32.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128))),
% 49.63/32.14 inference(modus_ponens,[status(thm)],[16352, 16351])).
% 49.63/32.14 tff(16354,plain,
% 49.63/32.14 (~v98(constB128)),
% 49.63/32.14 inference(unit_resolution,[status(thm)],[16353, 423, 16342, 16188])).
% 49.63/32.14 tff(16355,plain,
% 49.63/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB127, constB128)) | v96(constB128) | v98(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB127, constB128)) | v96(constB128) | v98(constB128))),
% 49.63/32.14 inference(rewrite,[status(thm)],[])).
% 49.63/32.14 tff(16356,plain,
% 49.63/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB127, constB128)) | v96(constB128) | v98(constB128))),
% 49.63/32.14 inference(quant_inst,[status(thm)],[])).
% 49.63/32.14 tff(16357,plain,
% 49.63/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB127, constB128)) | v96(constB128) | v98(constB128)),
% 49.63/32.14 inference(modus_ponens,[status(thm)],[16356, 16355])).
% 49.63/32.14 tff(16358,plain,
% 49.63/32.14 (v96(constB128) | v98(constB128)),
% 49.63/32.14 inference(unit_resolution,[status(thm)],[16357, 437, 16342])).
% 49.63/32.14 tff(16359,plain,
% 49.63/32.14 (v96(constB128)),
% 49.63/32.14 inference(unit_resolution,[status(thm)],[16358, 16354])).
% 49.63/32.14 tff(16360,plain,
% 49.63/32.14 (v1(constB128) <=> v1(constB128)),
% 49.63/32.14 inference(rewrite,[status(thm)],[])).
% 49.63/32.14 tff(16361,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 49.63/32.14 tff(16362,plain,
% 49.63/32.14 (v1(constB128)),
% 49.63/32.14 inference(modus_ponens,[status(thm)],[16361, 16360])).
% 49.63/32.14 tff(16363,plain,
% 49.63/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128)))),
% 49.63/32.14 inference(rewrite,[status(thm)],[])).
% 49.63/32.14 tff(16364,plain,
% 49.63/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128)))),
% 49.63/32.14 inference(quant_inst,[status(thm)],[])).
% 49.63/32.14 tff(16365,plain,
% 49.63/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128))),
% 49.63/32.14 inference(modus_ponens,[status(thm)],[16364, 16363])).
% 49.63/32.14 tff(16366,plain,
% 49.63/32.14 (v95(constB128) | (~v96(constB128))),
% 49.63/32.14 inference(unit_resolution,[status(thm)],[16365, 455, 16342, 16362])).
% 49.63/32.14 tff(16367,plain,
% 49.63/32.14 (v95(constB128)),
% 49.63/32.14 inference(unit_resolution,[status(thm)],[16366, 16359])).
% 49.63/32.14 tff(16368,plain,
% 49.63/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))),
% 49.69/32.14 inference(rewrite,[status(thm)],[])).
% 49.69/32.14 tff(16369,plain,
% 49.69/32.14 (((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128)) <=> ((~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))),
% 49.69/32.14 inference(rewrite,[status(thm)],[])).
% 49.69/32.14 tff(16370,plain,
% 49.69/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128))))),
% 49.69/32.14 inference(monotonicity,[status(thm)],[16369])).
% 49.69/32.14 tff(16371,plain,
% 49.69/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))),
% 49.69/32.14 inference(transitivity,[status(thm)],[16370, 16368])).
% 49.69/32.14 tff(16372,plain,
% 49.69/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128))),
% 49.69/32.14 inference(quant_inst,[status(thm)],[])).
% 49.69/32.14 tff(16373,plain,
% 49.69/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128))),
% 49.69/32.14 inference(modus_ponens,[status(thm)],[16372, 16371])).
% 49.69/32.14 tff(16374,plain,
% 49.69/32.14 (v94(constB128) | (~v95(constB128)) | (~v104(constB128))),
% 49.69/32.14 inference(unit_resolution,[status(thm)],[16373, 470, 16342])).
% 49.69/32.14 tff(16375,plain,
% 49.69/32.14 (v94(constB128) | (~v104(constB128))),
% 49.69/32.14 inference(unit_resolution,[status(thm)],[16374, 16367])).
% 49.69/32.14 tff(16376,plain,
% 49.69/32.14 (v94(constB128)),
% 49.69/32.14 inference(unit_resolution,[status(thm)],[16375, 16350])).
% 49.69/32.14 tff(16377,plain,
% 49.69/32.14 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB127)) | (~v124(constB127, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB127)) | (~v124(constB127, bitIndex2)))),
% 49.69/32.14 inference(rewrite,[status(thm)],[])).
% 49.69/32.14 tff(16378,plain,
% 49.69/32.14 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB127)) | (~v124(constB127, bitIndex2)))),
% 49.69/32.14 inference(quant_inst,[status(thm)],[])).
% 49.69/32.14 tff(16379,plain,
% 49.69/32.14 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB127)) | (~v124(constB127, bitIndex2))),
% 49.69/32.14 inference(modus_ponens,[status(thm)],[16378, 16377])).
% 49.69/32.14 tff(16380,plain,
% 49.69/32.14 (~v124(constB127, bitIndex2)),
% 49.69/32.14 inference(unit_resolution,[status(thm)],[16379, 1456, 16287])).
% 49.69/32.14 tff(16381,plain,
% 49.69/32.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB127, bitIndex2)) | v26(constB127) | v124(constB127, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB127, bitIndex2)) | v26(constB127) | v124(constB127, bitIndex2))),
% 49.69/32.14 inference(rewrite,[status(thm)],[])).
% 49.69/32.14 tff(16382,plain,
% 49.69/32.14 ((v26(constB127) | v124(constB127, bitIndex2) | (~v121(constB127, bitIndex2))) <=> ((~v121(constB127, bitIndex2)) | v26(constB127) | v124(constB127, bitIndex2))),
% 49.69/32.14 inference(rewrite,[status(thm)],[])).
% 49.69/32.14 tff(16383,plain,
% 49.69/32.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB127) | v124(constB127, bitIndex2) | (~v121(constB127, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB127, bitIndex2)) | v26(constB127) | v124(constB127, bitIndex2)))),
% 49.69/32.14 inference(monotonicity,[status(thm)],[16382])).
% 49.69/32.14 tff(16384,plain,
% 49.69/32.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB127) | v124(constB127, bitIndex2) | (~v121(constB127, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB127, bitIndex2)) | v26(constB127) | v124(constB127, bitIndex2))),
% 49.69/32.14 inference(transitivity,[status(thm)],[16383, 16381])).
% 49.69/32.14 tff(16385,plain,
% 49.69/32.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB127) | v124(constB127, bitIndex2) | (~v121(constB127, bitIndex2)))),
% 49.69/32.14 inference(quant_inst,[status(thm)],[])).
% 49.69/32.14 tff(16386,plain,
% 49.69/32.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB127, bitIndex2)) | v26(constB127) | v124(constB127, bitIndex2)),
% 49.69/32.14 inference(modus_ponens,[status(thm)],[16385, 16384])).
% 49.69/32.14 tff(16387,plain,
% 49.69/32.14 ((~v121(constB127, bitIndex2)) | v124(constB127, bitIndex2)),
% 49.69/32.14 inference(unit_resolution,[status(thm)],[16386, 1187, 16327])).
% 49.69/32.14 tff(16388,plain,
% 49.69/32.14 (~v121(constB127, bitIndex2)),
% 49.69/32.14 inference(unit_resolution,[status(thm)],[16387, 16380])).
% 49.69/32.14 tff(16389,plain,
% 49.69/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex2) | (~v123(constB128, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex2) | (~v123(constB128, bitIndex2)))),
% 49.69/32.14 inference(rewrite,[status(thm)],[])).
% 49.69/32.14 tff(16390,plain,
% 49.69/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex2) | (~v123(constB128, bitIndex2)))),
% 49.69/32.14 inference(quant_inst,[status(thm)],[])).
% 49.69/32.14 tff(16391,plain,
% 49.69/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex2) | (~v123(constB128, bitIndex2))),
% 49.69/32.14 inference(modus_ponens,[status(thm)],[16390, 16389])).
% 49.69/32.14 tff(16392,plain,
% 49.69/32.14 (v121(constB127, bitIndex2) | (~v123(constB128, bitIndex2))),
% 49.69/32.14 inference(unit_resolution,[status(thm)],[16391, 1205, 16342])).
% 49.69/32.14 tff(16393,plain,
% 49.69/32.14 (~v123(constB128, bitIndex2)),
% 49.69/32.14 inference(unit_resolution,[status(thm)],[16392, 16388])).
% 49.69/32.14 tff(16394,plain,
% 49.69/32.14 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB128, bitIndex2)) | v123(constB128, bitIndex2) | (~v94(constB128)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB128, bitIndex2)) | v123(constB128, bitIndex2) | (~v94(constB128)))),
% 49.69/32.14 inference(rewrite,[status(thm)],[])).
% 49.69/32.14 tff(16395,plain,
% 49.69/32.14 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB128, bitIndex2)) | v123(constB128, bitIndex2) | (~v94(constB128)))),
% 49.69/32.14 inference(quant_inst,[status(thm)],[])).
% 49.69/32.14 tff(16396,plain,
% 49.69/32.14 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB128, bitIndex2)) | v123(constB128, bitIndex2) | (~v94(constB128))),
% 49.69/32.14 inference(modus_ponens,[status(thm)],[16395, 16394])).
% 49.69/32.14 tff(16397,plain,
% 49.69/32.14 ((~v84(constB128, bitIndex2)) | (~v94(constB128))),
% 49.69/32.14 inference(unit_resolution,[status(thm)],[16396, 1220, 16393])).
% 49.69/32.14 tff(16398,plain,
% 49.69/32.14 (~v84(constB128, bitIndex2)),
% 49.69/32.14 inference(unit_resolution,[status(thm)],[16397, 16376])).
% 49.69/32.14 tff(16399,plain,
% 49.69/32.14 ((~v1(constB129)) <=> (~v1(constB129))),
% 49.69/32.14 inference(rewrite,[status(thm)],[])).
% 49.69/32.14 tff(16400,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 49.69/32.14 tff(16401,plain,
% 49.69/32.14 (~v1(constB129)),
% 49.69/32.14 inference(modus_ponens,[status(thm)],[16400, 16399])).
% 49.69/32.14 tff(16402,plain,
% 49.69/32.14 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 49.69/32.14 inference(rewrite,[status(thm)],[])).
% 49.69/32.14 tff(16403,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 49.69/32.14 tff(16404,plain,
% 49.69/32.14 (nextState(constB128, constB129)),
% 49.69/32.14 inference(modus_ponens,[status(thm)],[16403, 16402])).
% 49.69/32.14 tff(16405,plain,
% 49.69/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 49.69/32.15 inference(rewrite,[status(thm)],[])).
% 49.69/32.15 tff(16406,plain,
% 49.69/32.15 (((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 49.69/32.15 inference(rewrite,[status(thm)],[])).
% 49.69/32.15 tff(16407,plain,
% 49.69/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129))))),
% 49.69/32.15 inference(monotonicity,[status(thm)],[16406])).
% 49.69/32.15 tff(16408,plain,
% 49.69/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 49.69/32.15 inference(transitivity,[status(thm)],[16407, 16405])).
% 49.69/32.15 tff(16409,plain,
% 49.69/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))),
% 49.69/32.15 inference(quant_inst,[status(thm)],[])).
% 49.69/32.15 tff(16410,plain,
% 49.69/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129))),
% 49.69/32.15 inference(modus_ponens,[status(thm)],[16409, 16408])).
% 49.69/32.15 tff(16411,plain,
% 49.69/32.15 (~v95(constB129)),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16410, 110, 16404, 16401])).
% 49.69/32.15 tff(16412,plain,
% 49.69/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))),
% 49.69/32.15 inference(rewrite,[status(thm)],[])).
% 49.69/32.15 tff(16413,plain,
% 49.69/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))),
% 49.69/32.15 inference(quant_inst,[status(thm)],[])).
% 49.69/32.15 tff(16414,plain,
% 49.69/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129))),
% 49.69/32.15 inference(modus_ponens,[status(thm)],[16413, 16412])).
% 49.69/32.15 tff(16415,plain,
% 49.69/32.15 (v95(constB129) | (~v94(constB129))),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16414, 127, 16404])).
% 49.69/32.15 tff(16416,plain,
% 49.69/32.15 (~v94(constB129)),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16415, 16411])).
% 49.69/32.15 tff(16417,plain,
% 49.69/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex2)))),
% 49.69/32.15 inference(rewrite,[status(thm)],[])).
% 49.69/32.15 tff(16418,plain,
% 49.69/32.15 (((~nextState(constB128, constB129)) | v84(constB128, bitIndex2) | v94(constB129) | (~v84(constB129, bitIndex2))) <=> (v84(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex2)))),
% 49.69/32.15 inference(rewrite,[status(thm)],[])).
% 49.69/32.15 tff(16419,plain,
% 49.69/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex2) | v94(constB129) | (~v84(constB129, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex2))))),
% 49.69/32.15 inference(monotonicity,[status(thm)],[16418])).
% 49.69/32.15 tff(16420,plain,
% 49.69/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex2) | v94(constB129) | (~v84(constB129, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex2)))),
% 49.69/32.15 inference(transitivity,[status(thm)],[16419, 16417])).
% 49.69/32.15 tff(16421,plain,
% 49.69/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex2) | v94(constB129) | (~v84(constB129, bitIndex2)))),
% 49.69/32.15 inference(quant_inst,[status(thm)],[])).
% 49.69/32.15 tff(16422,plain,
% 49.69/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex2))),
% 49.69/32.15 inference(modus_ponens,[status(thm)],[16421, 16420])).
% 49.69/32.15 tff(16423,plain,
% 49.69/32.15 (v84(constB128, bitIndex2) | v94(constB129) | (~v84(constB129, bitIndex2))),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16422, 142, 16404])).
% 49.69/32.15 tff(16424,plain,
% 49.69/32.15 (v84(constB128, bitIndex2) | (~v84(constB129, bitIndex2))),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16423, 16416])).
% 49.69/32.15 tff(16425,plain,
% 49.69/32.15 (~v84(constB129, bitIndex2)),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16424, 16398])).
% 49.69/32.15 tff(16426,plain,
% 49.69/32.15 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB127)) | v124(constB127, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB127)) | v124(constB127, bitIndex1))),
% 49.69/32.15 inference(rewrite,[status(thm)],[])).
% 49.69/32.15 tff(16427,plain,
% 49.69/32.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB127)) | v124(constB127, bitIndex1))),
% 49.69/32.15 inference(quant_inst,[status(thm)],[])).
% 49.69/32.15 tff(16428,plain,
% 49.69/32.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB127)) | v124(constB127, bitIndex1)),
% 49.69/32.15 inference(modus_ponens,[status(thm)],[16427, 16426])).
% 49.69/32.15 tff(16429,plain,
% 49.69/32.15 (v124(constB127, bitIndex1)),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16428, 1512, 16287])).
% 49.69/32.15 tff(16430,plain,
% 49.69/32.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB127) | (~v124(constB127, bitIndex1)) | v121(constB127, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB127) | (~v124(constB127, bitIndex1)) | v121(constB127, bitIndex1))),
% 49.69/32.15 inference(rewrite,[status(thm)],[])).
% 49.69/32.15 tff(16431,plain,
% 49.69/32.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB127) | (~v124(constB127, bitIndex1)) | v121(constB127, bitIndex1))),
% 49.69/32.15 inference(quant_inst,[status(thm)],[])).
% 49.69/32.15 tff(16432,plain,
% 49.69/32.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB127) | (~v124(constB127, bitIndex1)) | v121(constB127, bitIndex1)),
% 49.69/32.15 inference(modus_ponens,[status(thm)],[16431, 16430])).
% 49.69/32.15 tff(16433,plain,
% 49.69/32.15 ((~v124(constB127, bitIndex1)) | v121(constB127, bitIndex1)),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16432, 857, 16327])).
% 49.69/32.15 tff(16434,plain,
% 49.69/32.15 (v121(constB127, bitIndex1)),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16433, 16429])).
% 49.69/32.15 tff(16435,plain,
% 49.69/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v121(constB127, bitIndex1)) | v123(constB128, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB127, constB128)) | (~v121(constB127, bitIndex1)) | v123(constB128, bitIndex1))),
% 49.69/32.15 inference(rewrite,[status(thm)],[])).
% 49.69/32.15 tff(16436,plain,
% 49.69/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v121(constB127, bitIndex1)) | v123(constB128, bitIndex1))),
% 49.69/32.15 inference(quant_inst,[status(thm)],[])).
% 49.69/32.15 tff(16437,plain,
% 49.69/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB127, constB128)) | (~v121(constB127, bitIndex1)) | v123(constB128, bitIndex1)),
% 49.69/32.15 inference(modus_ponens,[status(thm)],[16436, 16435])).
% 49.69/32.15 tff(16438,plain,
% 49.69/32.15 ((~v121(constB127, bitIndex1)) | v123(constB128, bitIndex1)),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16437, 872, 16342])).
% 49.69/32.15 tff(16439,plain,
% 49.69/32.15 (v123(constB128, bitIndex1)),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16438, 16434])).
% 49.69/32.15 tff(16440,plain,
% 49.69/32.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~v123(constB128, bitIndex1)) | (~v94(constB128)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB128, bitIndex1) | (~v123(constB128, bitIndex1)) | (~v94(constB128)))),
% 49.69/32.15 inference(rewrite,[status(thm)],[])).
% 49.69/32.15 tff(16441,plain,
% 49.69/32.15 ((v84(constB128, bitIndex1) | (~v94(constB128)) | (~v123(constB128, bitIndex1))) <=> (v84(constB128, bitIndex1) | (~v123(constB128, bitIndex1)) | (~v94(constB128)))),
% 49.69/32.15 inference(rewrite,[status(thm)],[])).
% 49.69/32.15 tff(16442,plain,
% 49.69/32.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~v94(constB128)) | (~v123(constB128, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~v123(constB128, bitIndex1)) | (~v94(constB128))))),
% 49.69/32.15 inference(monotonicity,[status(thm)],[16441])).
% 49.69/32.15 tff(16443,plain,
% 49.69/32.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~v94(constB128)) | (~v123(constB128, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB128, bitIndex1) | (~v123(constB128, bitIndex1)) | (~v94(constB128)))),
% 49.69/32.15 inference(transitivity,[status(thm)],[16442, 16440])).
% 49.69/32.15 tff(16444,plain,
% 49.69/32.15 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~v94(constB128)) | (~v123(constB128, bitIndex1)))),
% 49.69/32.15 inference(quant_inst,[status(thm)],[])).
% 49.69/32.15 tff(16445,plain,
% 49.69/32.15 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB128, bitIndex1) | (~v123(constB128, bitIndex1)) | (~v94(constB128))),
% 49.69/32.15 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 49.69/32.15 tff(16446,plain,
% 49.69/32.15 (v84(constB128, bitIndex1) | (~v94(constB128))),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16445, 887, 16439])).
% 49.69/32.15 tff(16447,plain,
% 49.69/32.15 (v84(constB128, bitIndex1)),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16446, 16376])).
% 49.69/32.15 tff(16448,plain,
% 49.69/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex1))),
% 49.69/32.15 inference(rewrite,[status(thm)],[])).
% 49.69/32.15 tff(16449,plain,
% 49.69/32.15 (((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex1)) | v94(constB129) | v84(constB129, bitIndex1)) <=> ((~v84(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex1))),
% 49.69/32.15 inference(rewrite,[status(thm)],[])).
% 49.69/32.15 tff(16450,plain,
% 49.69/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex1)) | v94(constB129) | v84(constB129, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex1)))),
% 49.69/32.15 inference(monotonicity,[status(thm)],[16449])).
% 49.69/32.15 tff(16451,plain,
% 49.69/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex1)) | v94(constB129) | v84(constB129, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex1))),
% 49.69/32.15 inference(transitivity,[status(thm)],[16450, 16448])).
% 49.69/32.15 tff(16452,plain,
% 49.69/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex1)) | v94(constB129) | v84(constB129, bitIndex1))),
% 49.69/32.15 inference(quant_inst,[status(thm)],[])).
% 49.69/32.15 tff(16453,plain,
% 49.69/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex1)),
% 49.69/32.15 inference(modus_ponens,[status(thm)],[16452, 16451])).
% 49.69/32.15 tff(16454,plain,
% 49.69/32.15 ((~v84(constB128, bitIndex1)) | v94(constB129) | v84(constB129, bitIndex1)),
% 49.69/32.15 inference(unit_resolution,[status(thm)],[16453, 905, 16404])).
% 49.69/32.16 tff(16455,plain,
% 49.69/32.16 ((~v84(constB128, bitIndex1)) | v84(constB129, bitIndex1)),
% 49.69/32.16 inference(unit_resolution,[status(thm)],[16454, 16416])).
% 49.69/32.16 tff(16456,plain,
% 49.69/32.16 (v84(constB129, bitIndex1)),
% 49.69/32.16 inference(unit_resolution,[status(thm)],[16455, 16447])).
% 49.69/32.16 tff(16457,plain,
% 49.69/32.16 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB127)) | (~v124(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB127)) | (~v124(constB127, bitIndex0)))),
% 49.69/32.16 inference(rewrite,[status(thm)],[])).
% 49.69/32.16 tff(16458,plain,
% 49.69/32.16 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB127)) | (~v124(constB127, bitIndex0)))),
% 49.69/32.16 inference(quant_inst,[status(thm)],[])).
% 49.69/32.16 tff(16459,plain,
% 49.69/32.16 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB127)) | (~v124(constB127, bitIndex0))),
% 49.69/32.16 inference(modus_ponens,[status(thm)],[16458, 16457])).
% 49.69/32.16 tff(16460,plain,
% 49.69/32.16 (~v124(constB127, bitIndex0)),
% 49.69/32.16 inference(unit_resolution,[status(thm)],[16459, 1550, 16287])).
% 49.69/32.16 tff(16461,plain,
% 49.69/32.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))),
% 49.69/32.16 inference(rewrite,[status(thm)],[])).
% 49.69/32.16 tff(16462,plain,
% 49.69/32.16 ((v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0))) <=> ((~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))),
% 49.69/32.16 inference(rewrite,[status(thm)],[])).
% 49.69/32.16 tff(16463,plain,
% 49.69/32.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0)))),
% 49.69/32.16 inference(monotonicity,[status(thm)],[16462])).
% 49.69/32.16 tff(16464,plain,
% 49.69/32.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))),
% 49.69/32.16 inference(transitivity,[status(thm)],[16463, 16461])).
% 49.69/32.16 tff(16465,plain,
% 49.69/32.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0)))),
% 49.69/32.16 inference(quant_inst,[status(thm)],[])).
% 49.69/32.16 tff(16466,plain,
% 49.69/32.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0)),
% 49.69/32.16 inference(modus_ponens,[status(thm)],[16465, 16464])).
% 49.69/32.16 tff(16467,plain,
% 49.69/32.16 ((~v121(constB127, bitIndex0)) | v124(constB127, bitIndex0)),
% 49.69/32.16 inference(unit_resolution,[status(thm)],[16466, 607, 16327])).
% 49.69/32.16 tff(16468,plain,
% 49.69/32.16 (~v121(constB127, bitIndex0)),
% 49.69/32.16 inference(unit_resolution,[status(thm)],[16467, 16460])).
% 49.69/32.16 tff(16469,plain,
% 49.69/32.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0)))),
% 49.69/32.16 inference(rewrite,[status(thm)],[])).
% 49.69/32.16 tff(16470,plain,
% 49.69/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0)))),
% 49.71/32.16 inference(quant_inst,[status(thm)],[])).
% 49.71/32.16 tff(16471,plain,
% 49.71/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0))),
% 49.71/32.16 inference(modus_ponens,[status(thm)],[16470, 16469])).
% 49.71/32.16 tff(16472,plain,
% 49.71/32.16 (v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0))),
% 49.71/32.16 inference(unit_resolution,[status(thm)],[16471, 637, 16342])).
% 49.71/32.16 tff(16473,plain,
% 49.71/32.16 (~v123(constB128, bitIndex0)),
% 49.71/32.16 inference(unit_resolution,[status(thm)],[16472, 16468])).
% 49.71/32.16 tff(16474,plain,
% 49.71/32.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))),
% 49.71/32.16 inference(rewrite,[status(thm)],[])).
% 49.71/32.16 tff(16475,plain,
% 49.71/32.16 (((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0)) <=> ((~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))),
% 49.71/32.16 inference(rewrite,[status(thm)],[])).
% 49.71/32.16 tff(16476,plain,
% 49.71/32.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128))))),
% 49.71/32.16 inference(monotonicity,[status(thm)],[16475])).
% 49.71/32.16 tff(16477,plain,
% 49.71/32.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))),
% 49.71/32.16 inference(transitivity,[status(thm)],[16476, 16474])).
% 49.71/32.16 tff(16478,plain,
% 49.71/32.16 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0))),
% 49.71/32.16 inference(quant_inst,[status(thm)],[])).
% 49.71/32.16 tff(16479,plain,
% 49.71/32.16 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128))),
% 49.71/32.16 inference(modus_ponens,[status(thm)],[16478, 16477])).
% 49.71/32.16 tff(16480,plain,
% 49.71/32.16 ((~v84(constB128, bitIndex0)) | (~v94(constB128))),
% 49.71/32.16 inference(unit_resolution,[status(thm)],[16479, 652, 16473])).
% 49.71/32.16 tff(16481,plain,
% 49.71/32.16 (~v84(constB128, bitIndex0)),
% 49.71/32.16 inference(unit_resolution,[status(thm)],[16480, 16376])).
% 49.71/32.16 tff(16482,plain,
% 49.71/32.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 49.71/32.16 inference(rewrite,[status(thm)],[])).
% 49.71/32.16 tff(16483,plain,
% 49.71/32.16 (((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0))) <=> (v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 49.71/32.16 inference(rewrite,[status(thm)],[])).
% 49.71/32.16 tff(16484,plain,
% 49.71/32.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0))))),
% 49.71/32.16 inference(monotonicity,[status(thm)],[16483])).
% 49.71/32.16 tff(16485,plain,
% 49.71/32.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 49.71/32.16 inference(transitivity,[status(thm)],[16484, 16482])).
% 49.71/32.16 tff(16486,plain,
% 49.71/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 49.71/32.16 inference(quant_inst,[status(thm)],[])).
% 49.71/32.16 tff(16487,plain,
% 49.71/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0))),
% 49.71/32.16 inference(modus_ponens,[status(thm)],[16486, 16485])).
% 49.71/32.16 tff(16488,plain,
% 49.71/32.16 (v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0))),
% 49.71/32.16 inference(unit_resolution,[status(thm)],[16487, 184, 16404])).
% 49.71/32.16 tff(16489,plain,
% 49.71/32.16 (v84(constB128, bitIndex0) | (~v84(constB129, bitIndex0))),
% 49.71/32.16 inference(unit_resolution,[status(thm)],[16488, 16416])).
% 49.71/32.16 tff(16490,plain,
% 49.71/32.16 (~v84(constB129, bitIndex0)),
% 49.71/32.16 inference(unit_resolution,[status(thm)],[16489, 16481])).
% 49.71/32.16 tff(16491,plain,
% 49.71/32.16 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v115(constB129))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v115(constB129))),
% 49.71/32.16 inference(rewrite,[status(thm)],[])).
% 49.71/32.16 tff(16492,plain,
% 49.71/32.16 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v115(constB129))),
% 49.71/32.16 inference(quant_inst,[status(thm)],[])).
% 49.71/32.16 tff(16493,plain,
% 49.71/32.16 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v115(constB129)),
% 49.71/32.16 inference(modus_ponens,[status(thm)],[16492, 16491])).
% 49.71/32.16 tff(16494,plain,
% 49.71/32.16 (v115(constB129)),
% 49.71/32.16 inference(unit_resolution,[status(thm)],[16493, 1594, 16490, 16456, 16425])).
% 49.71/32.16 tff(16495,plain,
% 49.71/32.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB129)) | v111(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB129)) | v111(constB129))),
% 49.71/32.16 inference(rewrite,[status(thm)],[])).
% 49.71/32.16 tff(16496,plain,
% 49.71/32.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB129)) | v111(constB129))),
% 49.71/32.16 inference(quant_inst,[status(thm)],[])).
% 49.71/32.16 tff(16497,plain,
% 49.71/32.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB129)) | v111(constB129)),
% 49.71/32.16 inference(modus_ponens,[status(thm)],[16496, 16495])).
% 49.71/32.16 tff(16498,plain,
% 49.71/32.16 (v111(constB129)),
% 49.71/32.16 inference(unit_resolution,[status(thm)],[16497, 1605, 16494])).
% 49.71/32.16 tff(16499,plain,
% 49.71/32.16 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB129) | (~v111(constB129)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB129) | (~v111(constB129)))),
% 49.71/32.16 inference(rewrite,[status(thm)],[])).
% 49.71/32.16 tff(16500,plain,
% 49.71/32.16 (((~v111(constB129)) | v110(constB129)) <=> (v110(constB129) | (~v111(constB129)))),
% 49.71/32.16 inference(rewrite,[status(thm)],[])).
% 49.71/32.16 tff(16501,plain,
% 49.71/32.16 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB129)) | v110(constB129))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB129) | (~v111(constB129))))),
% 49.71/32.16 inference(monotonicity,[status(thm)],[16500])).
% 49.71/32.16 tff(16502,plain,
% 49.71/32.16 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB129)) | v110(constB129))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB129) | (~v111(constB129)))),
% 49.71/32.16 inference(transitivity,[status(thm)],[16501, 16499])).
% 49.71/32.16 tff(16503,plain,
% 49.71/32.16 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB129)) | v110(constB129))),
% 49.71/32.16 inference(quant_inst,[status(thm)],[])).
% 49.71/32.16 tff(16504,plain,
% 49.71/32.16 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB129) | (~v111(constB129))),
% 49.71/32.16 inference(modus_ponens,[status(thm)],[16503, 16502])).
% 49.71/32.16 tff(16505,plain,
% 49.71/32.16 (v110(constB129)),
% 49.71/32.16 inference(unit_resolution,[status(thm)],[16504, 292, 16498])).
% 49.71/32.16 tff(16506,plain,
% 49.71/32.16 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB129)) | v109(constB129))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB129)) | v109(constB129))),
% 49.71/32.16 inference(rewrite,[status(thm)],[])).
% 49.71/32.16 tff(16507,plain,
% 49.71/32.16 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB129)) | v109(constB129))),
% 49.71/32.16 inference(quant_inst,[status(thm)],[])).
% 49.71/32.16 tff(16508,plain,
% 49.71/32.16 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB129)) | v109(constB129)),
% 49.71/32.16 inference(modus_ponens,[status(thm)],[16507, 16506])).
% 49.71/32.16 tff(16509,plain,
% 49.71/32.16 (v109(constB129)),
% 49.71/32.16 inference(unit_resolution,[status(thm)],[16508, 306, 16505])).
% 49.71/32.16 tff(16510,plain,
% 49.71/32.16 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v109(constB129)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v109(constB129)))),
% 49.71/32.16 inference(rewrite,[status(thm)],[])).
% 49.71/32.16 tff(16511,plain,
% 49.71/32.16 (((~v109(constB129)) | v108(constB129)) <=> (v108(constB129) | (~v109(constB129)))),
% 49.71/32.16 inference(rewrite,[status(thm)],[])).
% 49.71/32.16 tff(16512,plain,
% 49.71/32.16 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v109(constB129))))),
% 49.71/32.16 inference(monotonicity,[status(thm)],[16511])).
% 49.71/32.16 tff(16513,plain,
% 49.71/32.16 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v109(constB129)))),
% 49.71/32.16 inference(transitivity,[status(thm)],[16512, 16510])).
% 49.71/32.16 tff(16514,plain,
% 49.71/32.16 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB129)) | v108(constB129))),
% 49.71/32.16 inference(quant_inst,[status(thm)],[])).
% 49.71/32.16 tff(16515,plain,
% 49.71/32.16 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v109(constB129))),
% 49.71/32.16 inference(modus_ponens,[status(thm)],[16514, 16513])).
% 49.71/32.16 tff(16516,plain,
% 49.71/32.16 (v108(constB129)),
% 49.71/32.16 inference(unit_resolution,[status(thm)],[16515, 320, 16509])).
% 49.71/32.16 tff(16517,plain,
% 49.71/32.16 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB129) | (~v108(constB129)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB129) | (~v108(constB129)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16518,plain,
% 49.71/32.17 (((~v108(constB129)) | v107(constB129)) <=> (v107(constB129) | (~v108(constB129)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16519,plain,
% 49.71/32.17 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB129)) | v107(constB129))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB129) | (~v108(constB129))))),
% 49.71/32.17 inference(monotonicity,[status(thm)],[16518])).
% 49.71/32.17 tff(16520,plain,
% 49.71/32.17 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB129)) | v107(constB129))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB129) | (~v108(constB129)))),
% 49.71/32.17 inference(transitivity,[status(thm)],[16519, 16517])).
% 49.71/32.17 tff(16521,plain,
% 49.71/32.17 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB129)) | v107(constB129))),
% 49.71/32.17 inference(quant_inst,[status(thm)],[])).
% 49.71/32.17 tff(16522,plain,
% 49.71/32.17 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB129) | (~v108(constB129))),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16521, 16520])).
% 49.71/32.17 tff(16523,plain,
% 49.71/32.17 (v107(constB129)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16522, 334, 16516])).
% 49.71/32.17 tff(16524,assumption,(v26(constB129)), introduced(assumption)).
% 49.71/32.17 tff(16525,plain,
% 49.71/32.17 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB129))),
% 49.71/32.17 inference(quant_inst,[status(thm)],[])).
% 49.71/32.17 tff(16526,plain,
% 49.71/32.17 ($false),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16525, 55, 16524])).
% 49.71/32.17 tff(16527,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 49.71/32.17 tff(16528,plain,
% 49.71/32.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | v106(constB129) | (~v107(constB129)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | v106(constB129) | (~v107(constB129)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16529,plain,
% 49.71/32.17 ((v26(constB129) | (~v107(constB129)) | v106(constB129)) <=> (v26(constB129) | v106(constB129) | (~v107(constB129)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16530,plain,
% 49.71/32.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | v106(constB129) | (~v107(constB129))))),
% 49.71/32.17 inference(monotonicity,[status(thm)],[16529])).
% 49.71/32.17 tff(16531,plain,
% 49.71/32.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | v106(constB129) | (~v107(constB129)))),
% 49.71/32.17 inference(transitivity,[status(thm)],[16530, 16528])).
% 49.71/32.17 tff(16532,plain,
% 49.71/32.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))),
% 49.71/32.17 inference(quant_inst,[status(thm)],[])).
% 49.71/32.17 tff(16533,plain,
% 49.71/32.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | v106(constB129) | (~v107(constB129))),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16532, 16531])).
% 49.71/32.17 tff(16534,plain,
% 49.71/32.17 (v106(constB129) | (~v107(constB129))),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16533, 348, 16527])).
% 49.71/32.17 tff(16535,plain,
% 49.71/32.17 (v106(constB129)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16534, 16523])).
% 49.71/32.17 tff(16536,plain,
% 49.71/32.17 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB129) | (~v106(constB129)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB129) | (~v106(constB129)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16537,plain,
% 49.71/32.17 (((~v106(constB129)) | v102(constB129)) <=> (v102(constB129) | (~v106(constB129)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16538,plain,
% 49.71/32.17 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB129)) | v102(constB129))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB129) | (~v106(constB129))))),
% 49.71/32.17 inference(monotonicity,[status(thm)],[16537])).
% 49.71/32.17 tff(16539,plain,
% 49.71/32.17 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB129)) | v102(constB129))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB129) | (~v106(constB129)))),
% 49.71/32.17 inference(transitivity,[status(thm)],[16538, 16536])).
% 49.71/32.17 tff(16540,plain,
% 49.71/32.17 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB129)) | v102(constB129))),
% 49.71/32.17 inference(quant_inst,[status(thm)],[])).
% 49.71/32.17 tff(16541,plain,
% 49.71/32.17 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB129) | (~v106(constB129))),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16540, 16539])).
% 49.71/32.17 tff(16542,plain,
% 49.71/32.17 (v102(constB129)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16541, 504, 16535])).
% 49.71/32.17 tff(16543,plain,
% 49.71/32.17 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16544,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 49.71/32.17 tff(16545,plain,
% 49.71/32.17 (nextState(constB129, constB130)),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16544, 16543])).
% 49.71/32.17 tff(16546,plain,
% 49.71/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16547,plain,
% 49.71/32.17 (((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130)) <=> ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16548,plain,
% 49.71/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129))))),
% 49.71/32.17 inference(monotonicity,[status(thm)],[16547])).
% 49.71/32.17 tff(16549,plain,
% 49.71/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 49.71/32.17 inference(transitivity,[status(thm)],[16548, 16546])).
% 49.71/32.17 tff(16550,plain,
% 49.71/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))),
% 49.71/32.17 inference(quant_inst,[status(thm)],[])).
% 49.71/32.17 tff(16551,plain,
% 49.71/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129))),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16550, 16549])).
% 49.71/32.17 tff(16552,plain,
% 49.71/32.17 (v104(constB130) | (~v102(constB129))),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16551, 489, 16545])).
% 49.71/32.17 tff(16553,plain,
% 49.71/32.17 (v104(constB130)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16552, 16542])).
% 49.71/32.17 tff(16554,plain,
% 49.71/32.17 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16555,plain,
% 49.71/32.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))),
% 49.71/32.17 inference(quant_inst,[status(thm)],[])).
% 49.71/32.17 tff(16556,plain,
% 49.71/32.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130))),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16555, 16554])).
% 49.71/32.17 tff(16557,plain,
% 49.71/32.17 (~v98(constB130)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16556, 423, 16545, 16401])).
% 49.71/32.17 tff(16558,plain,
% 49.71/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16559,plain,
% 49.71/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))),
% 49.71/32.17 inference(quant_inst,[status(thm)],[])).
% 49.71/32.17 tff(16560,plain,
% 49.71/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB129, constB130)) | v96(constB130) | v98(constB130)),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16559, 16558])).
% 49.71/32.17 tff(16561,plain,
% 49.71/32.17 (v96(constB130) | v98(constB130)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16560, 437, 16545])).
% 49.71/32.17 tff(16562,plain,
% 49.71/32.17 (v96(constB130)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16561, 16557])).
% 49.71/32.17 tff(16563,plain,
% 49.71/32.17 (v1(constB130) <=> v1(constB130)),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16564,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 49.71/32.17 tff(16565,plain,
% 49.71/32.17 (v1(constB130)),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16564, 16563])).
% 49.71/32.17 tff(16566,plain,
% 49.71/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16567,plain,
% 49.71/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))),
% 49.71/32.17 inference(quant_inst,[status(thm)],[])).
% 49.71/32.17 tff(16568,plain,
% 49.71/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130))),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16567, 16566])).
% 49.71/32.17 tff(16569,plain,
% 49.71/32.17 (v95(constB130) | (~v96(constB130))),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16568, 455, 16545, 16565])).
% 49.71/32.17 tff(16570,plain,
% 49.71/32.17 (v95(constB130)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16569, 16562])).
% 49.71/32.17 tff(16571,plain,
% 49.71/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16572,plain,
% 49.71/32.17 (((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130)) <=> ((~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16573,plain,
% 49.71/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130))))),
% 49.71/32.17 inference(monotonicity,[status(thm)],[16572])).
% 49.71/32.17 tff(16574,plain,
% 49.71/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))),
% 49.71/32.17 inference(transitivity,[status(thm)],[16573, 16571])).
% 49.71/32.17 tff(16575,plain,
% 49.71/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))),
% 49.71/32.17 inference(quant_inst,[status(thm)],[])).
% 49.71/32.17 tff(16576,plain,
% 49.71/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130))),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16575, 16574])).
% 49.71/32.17 tff(16577,plain,
% 49.71/32.17 (v94(constB130) | (~v95(constB130)) | (~v104(constB130))),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16576, 470, 16545])).
% 49.71/32.17 tff(16578,plain,
% 49.71/32.17 (v94(constB130) | (~v104(constB130))),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16577, 16570])).
% 49.71/32.17 tff(16579,plain,
% 49.71/32.17 (v94(constB130)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16578, 16553])).
% 49.71/32.17 tff(16580,plain,
% 49.71/32.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB129)) | (~v124(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB129)) | (~v124(constB129, bitIndex2)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16581,plain,
% 49.71/32.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB129)) | (~v124(constB129, bitIndex2)))),
% 49.71/32.17 inference(quant_inst,[status(thm)],[])).
% 49.71/32.17 tff(16582,plain,
% 49.71/32.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB129)) | (~v124(constB129, bitIndex2))),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16581, 16580])).
% 49.71/32.17 tff(16583,plain,
% 49.71/32.17 (~v124(constB129, bitIndex2)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16582, 1690, 16494])).
% 49.71/32.17 tff(16584,plain,
% 49.71/32.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB129, bitIndex2)) | v26(constB129) | v124(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB129, bitIndex2)) | v26(constB129) | v124(constB129, bitIndex2))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16585,plain,
% 49.71/32.17 ((v26(constB129) | v124(constB129, bitIndex2) | (~v121(constB129, bitIndex2))) <=> ((~v121(constB129, bitIndex2)) | v26(constB129) | v124(constB129, bitIndex2))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16586,plain,
% 49.71/32.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB129) | v124(constB129, bitIndex2) | (~v121(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB129, bitIndex2)) | v26(constB129) | v124(constB129, bitIndex2)))),
% 49.71/32.17 inference(monotonicity,[status(thm)],[16585])).
% 49.71/32.17 tff(16587,plain,
% 49.71/32.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB129) | v124(constB129, bitIndex2) | (~v121(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB129, bitIndex2)) | v26(constB129) | v124(constB129, bitIndex2))),
% 49.71/32.17 inference(transitivity,[status(thm)],[16586, 16584])).
% 49.71/32.17 tff(16588,plain,
% 49.71/32.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB129) | v124(constB129, bitIndex2) | (~v121(constB129, bitIndex2)))),
% 49.71/32.17 inference(quant_inst,[status(thm)],[])).
% 49.71/32.17 tff(16589,plain,
% 49.71/32.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB129, bitIndex2)) | v26(constB129) | v124(constB129, bitIndex2)),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16588, 16587])).
% 49.71/32.17 tff(16590,plain,
% 49.71/32.17 ((~v121(constB129, bitIndex2)) | v124(constB129, bitIndex2)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16589, 1187, 16527])).
% 49.71/32.17 tff(16591,plain,
% 49.71/32.17 (~v121(constB129, bitIndex2)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16590, 16583])).
% 49.71/32.17 tff(16592,plain,
% 49.71/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v121(constB129, bitIndex2) | (~v123(constB130, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB129, constB130)) | v121(constB129, bitIndex2) | (~v123(constB130, bitIndex2)))),
% 49.71/32.17 inference(rewrite,[status(thm)],[])).
% 49.71/32.17 tff(16593,plain,
% 49.71/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v121(constB129, bitIndex2) | (~v123(constB130, bitIndex2)))),
% 49.71/32.17 inference(quant_inst,[status(thm)],[])).
% 49.71/32.17 tff(16594,plain,
% 49.71/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB129, constB130)) | v121(constB129, bitIndex2) | (~v123(constB130, bitIndex2))),
% 49.71/32.17 inference(modus_ponens,[status(thm)],[16593, 16592])).
% 49.71/32.17 tff(16595,plain,
% 49.71/32.17 (v121(constB129, bitIndex2) | (~v123(constB130, bitIndex2))),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16594, 1205, 16545])).
% 49.71/32.17 tff(16596,plain,
% 49.71/32.17 (~v123(constB130, bitIndex2)),
% 49.71/32.17 inference(unit_resolution,[status(thm)],[16595, 16591])).
% 49.71/32.17 tff(16597,plain,
% 49.71/32.17 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB130, bitIndex2)) | v123(constB130, bitIndex2) | (~v94(constB130)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB130, bitIndex2)) | v123(constB130, bitIndex2) | (~v94(constB130)))),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16598,plain,
% 49.71/32.18 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB130, bitIndex2)) | v123(constB130, bitIndex2) | (~v94(constB130)))),
% 49.71/32.18 inference(quant_inst,[status(thm)],[])).
% 49.71/32.18 tff(16599,plain,
% 49.71/32.18 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB130, bitIndex2)) | v123(constB130, bitIndex2) | (~v94(constB130))),
% 49.71/32.18 inference(modus_ponens,[status(thm)],[16598, 16597])).
% 49.71/32.18 tff(16600,plain,
% 49.71/32.18 ((~v84(constB130, bitIndex2)) | (~v94(constB130))),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16599, 1220, 16596])).
% 49.71/32.18 tff(16601,plain,
% 49.71/32.18 (~v84(constB130, bitIndex2)),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16600, 16579])).
% 49.71/32.18 tff(16602,plain,
% 49.71/32.18 ((~v1(constB131)) <=> (~v1(constB131))),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16603,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 49.71/32.18 tff(16604,plain,
% 49.71/32.18 (~v1(constB131)),
% 49.71/32.18 inference(modus_ponens,[status(thm)],[16603, 16602])).
% 49.71/32.18 tff(16605,plain,
% 49.71/32.18 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16606,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 49.71/32.18 tff(16607,plain,
% 49.71/32.18 (nextState(constB130, constB131)),
% 49.71/32.18 inference(modus_ponens,[status(thm)],[16606, 16605])).
% 49.71/32.18 tff(16608,plain,
% 49.71/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16609,plain,
% 49.71/32.18 (((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16610,plain,
% 49.71/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131))))),
% 49.71/32.18 inference(monotonicity,[status(thm)],[16609])).
% 49.71/32.18 tff(16611,plain,
% 49.71/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 49.71/32.18 inference(transitivity,[status(thm)],[16610, 16608])).
% 49.71/32.18 tff(16612,plain,
% 49.71/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))),
% 49.71/32.18 inference(quant_inst,[status(thm)],[])).
% 49.71/32.18 tff(16613,plain,
% 49.71/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131))),
% 49.71/32.18 inference(modus_ponens,[status(thm)],[16612, 16611])).
% 49.71/32.18 tff(16614,plain,
% 49.71/32.18 (~v95(constB131)),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16613, 110, 16607, 16604])).
% 49.71/32.18 tff(16615,plain,
% 49.71/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16616,plain,
% 49.71/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))),
% 49.71/32.18 inference(quant_inst,[status(thm)],[])).
% 49.71/32.18 tff(16617,plain,
% 49.71/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131))),
% 49.71/32.18 inference(modus_ponens,[status(thm)],[16616, 16615])).
% 49.71/32.18 tff(16618,plain,
% 49.71/32.18 (v95(constB131) | (~v94(constB131))),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16617, 127, 16607])).
% 49.71/32.18 tff(16619,plain,
% 49.71/32.18 (~v94(constB131)),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16618, 16614])).
% 49.71/32.18 tff(16620,plain,
% 49.71/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex2)))),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16621,plain,
% 49.71/32.18 (((~nextState(constB130, constB131)) | v84(constB130, bitIndex2) | v94(constB131) | (~v84(constB131, bitIndex2))) <=> (v84(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex2)))),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16622,plain,
% 49.71/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v84(constB130, bitIndex2) | v94(constB131) | (~v84(constB131, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex2))))),
% 49.71/32.18 inference(monotonicity,[status(thm)],[16621])).
% 49.71/32.18 tff(16623,plain,
% 49.71/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v84(constB130, bitIndex2) | v94(constB131) | (~v84(constB131, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex2)))),
% 49.71/32.18 inference(transitivity,[status(thm)],[16622, 16620])).
% 49.71/32.18 tff(16624,plain,
% 49.71/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v84(constB130, bitIndex2) | v94(constB131) | (~v84(constB131, bitIndex2)))),
% 49.71/32.18 inference(quant_inst,[status(thm)],[])).
% 49.71/32.18 tff(16625,plain,
% 49.71/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex2))),
% 49.71/32.18 inference(modus_ponens,[status(thm)],[16624, 16623])).
% 49.71/32.18 tff(16626,plain,
% 49.71/32.18 (v84(constB130, bitIndex2) | v94(constB131) | (~v84(constB131, bitIndex2))),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16625, 142, 16607])).
% 49.71/32.18 tff(16627,plain,
% 49.71/32.18 (v84(constB130, bitIndex2) | (~v84(constB131, bitIndex2))),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16626, 16619])).
% 49.71/32.18 tff(16628,plain,
% 49.71/32.18 (~v84(constB131, bitIndex2)),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16627, 16601])).
% 49.71/32.18 tff(16629,plain,
% 49.71/32.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB129)) | v124(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB129)) | v124(constB129, bitIndex1))),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16630,plain,
% 49.71/32.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB129)) | v124(constB129, bitIndex1))),
% 49.71/32.18 inference(quant_inst,[status(thm)],[])).
% 49.71/32.18 tff(16631,plain,
% 49.71/32.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB129)) | v124(constB129, bitIndex1)),
% 49.71/32.18 inference(modus_ponens,[status(thm)],[16630, 16629])).
% 49.71/32.18 tff(16632,plain,
% 49.71/32.18 (v124(constB129, bitIndex1)),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16631, 1746, 16494])).
% 49.71/32.18 tff(16633,plain,
% 49.71/32.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB129) | (~v124(constB129, bitIndex1)) | v121(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB129) | (~v124(constB129, bitIndex1)) | v121(constB129, bitIndex1))),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16634,plain,
% 49.71/32.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB129) | (~v124(constB129, bitIndex1)) | v121(constB129, bitIndex1))),
% 49.71/32.18 inference(quant_inst,[status(thm)],[])).
% 49.71/32.18 tff(16635,plain,
% 49.71/32.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB129) | (~v124(constB129, bitIndex1)) | v121(constB129, bitIndex1)),
% 49.71/32.18 inference(modus_ponens,[status(thm)],[16634, 16633])).
% 49.71/32.18 tff(16636,plain,
% 49.71/32.18 ((~v124(constB129, bitIndex1)) | v121(constB129, bitIndex1)),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16635, 857, 16527])).
% 49.71/32.18 tff(16637,plain,
% 49.71/32.18 (v121(constB129, bitIndex1)),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16636, 16632])).
% 49.71/32.18 tff(16638,plain,
% 49.71/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex1)) | v123(constB130, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex1)) | v123(constB130, bitIndex1))),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16639,plain,
% 49.71/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex1)) | v123(constB130, bitIndex1))),
% 49.71/32.18 inference(quant_inst,[status(thm)],[])).
% 49.71/32.18 tff(16640,plain,
% 49.71/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex1)) | v123(constB130, bitIndex1)),
% 49.71/32.18 inference(modus_ponens,[status(thm)],[16639, 16638])).
% 49.71/32.18 tff(16641,plain,
% 49.71/32.18 ((~v121(constB129, bitIndex1)) | v123(constB130, bitIndex1)),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16640, 872, 16545])).
% 49.71/32.18 tff(16642,plain,
% 49.71/32.18 (v123(constB130, bitIndex1)),
% 49.71/32.18 inference(unit_resolution,[status(thm)],[16641, 16637])).
% 49.71/32.18 tff(16643,plain,
% 49.71/32.18 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~v123(constB130, bitIndex1)) | (~v94(constB130)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB130, bitIndex1) | (~v123(constB130, bitIndex1)) | (~v94(constB130)))),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16644,plain,
% 49.71/32.18 ((v84(constB130, bitIndex1) | (~v94(constB130)) | (~v123(constB130, bitIndex1))) <=> (v84(constB130, bitIndex1) | (~v123(constB130, bitIndex1)) | (~v94(constB130)))),
% 49.71/32.18 inference(rewrite,[status(thm)],[])).
% 49.71/32.18 tff(16645,plain,
% 49.71/32.18 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~v94(constB130)) | (~v123(constB130, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~v123(constB130, bitIndex1)) | (~v94(constB130))))),
% 49.71/32.18 inference(monotonicity,[status(thm)],[16644])).
% 49.71/32.18 tff(16646,plain,
% 49.71/32.18 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~v94(constB130)) | (~v123(constB130, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB130, bitIndex1) | (~v123(constB130, bitIndex1)) | (~v94(constB130)))),
% 49.71/32.19 inference(transitivity,[status(thm)],[16645, 16643])).
% 49.71/32.19 tff(16647,plain,
% 49.71/32.19 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~v94(constB130)) | (~v123(constB130, bitIndex1)))),
% 49.71/32.19 inference(quant_inst,[status(thm)],[])).
% 49.71/32.19 tff(16648,plain,
% 49.71/32.19 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB130, bitIndex1) | (~v123(constB130, bitIndex1)) | (~v94(constB130))),
% 49.71/32.19 inference(modus_ponens,[status(thm)],[16647, 16646])).
% 49.71/32.19 tff(16649,plain,
% 49.71/32.19 (v84(constB130, bitIndex1) | (~v94(constB130))),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16648, 887, 16642])).
% 49.71/32.19 tff(16650,plain,
% 49.71/32.19 (v84(constB130, bitIndex1)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16649, 16579])).
% 49.71/32.19 tff(16651,plain,
% 49.71/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex1))),
% 49.71/32.19 inference(rewrite,[status(thm)],[])).
% 49.71/32.19 tff(16652,plain,
% 49.71/32.19 (((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex1)) | v94(constB131) | v84(constB131, bitIndex1)) <=> ((~v84(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex1))),
% 49.71/32.19 inference(rewrite,[status(thm)],[])).
% 49.71/32.19 tff(16653,plain,
% 49.71/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex1)) | v94(constB131) | v84(constB131, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex1)))),
% 49.71/32.19 inference(monotonicity,[status(thm)],[16652])).
% 49.71/32.19 tff(16654,plain,
% 49.71/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex1)) | v94(constB131) | v84(constB131, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex1))),
% 49.71/32.19 inference(transitivity,[status(thm)],[16653, 16651])).
% 49.71/32.19 tff(16655,plain,
% 49.71/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex1)) | v94(constB131) | v84(constB131, bitIndex1))),
% 49.71/32.19 inference(quant_inst,[status(thm)],[])).
% 49.71/32.19 tff(16656,plain,
% 49.71/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex1)),
% 49.71/32.19 inference(modus_ponens,[status(thm)],[16655, 16654])).
% 49.71/32.19 tff(16657,plain,
% 49.71/32.19 ((~v84(constB130, bitIndex1)) | v94(constB131) | v84(constB131, bitIndex1)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16656, 905, 16607])).
% 49.71/32.19 tff(16658,plain,
% 49.71/32.19 ((~v84(constB130, bitIndex1)) | v84(constB131, bitIndex1)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16657, 16619])).
% 49.71/32.19 tff(16659,plain,
% 49.71/32.19 (v84(constB131, bitIndex1)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16658, 16650])).
% 49.71/32.19 tff(16660,plain,
% 49.71/32.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB129)) | v124(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB129)) | v124(constB129, bitIndex0))),
% 49.71/32.19 inference(rewrite,[status(thm)],[])).
% 49.71/32.19 tff(16661,plain,
% 49.71/32.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB129)) | v124(constB129, bitIndex0))),
% 49.71/32.19 inference(quant_inst,[status(thm)],[])).
% 49.71/32.19 tff(16662,plain,
% 49.71/32.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB129)) | v124(constB129, bitIndex0)),
% 49.71/32.19 inference(modus_ponens,[status(thm)],[16661, 16660])).
% 49.71/32.19 tff(16663,plain,
% 49.71/32.19 (v124(constB129, bitIndex0)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16662, 1784, 16494])).
% 49.71/32.19 tff(16664,plain,
% 49.71/32.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0))),
% 49.71/32.19 inference(rewrite,[status(thm)],[])).
% 49.71/32.19 tff(16665,plain,
% 49.71/32.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0))),
% 49.71/32.19 inference(quant_inst,[status(thm)],[])).
% 49.71/32.19 tff(16666,plain,
% 49.71/32.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0)),
% 49.71/32.19 inference(modus_ponens,[status(thm)],[16665, 16664])).
% 49.71/32.19 tff(16667,plain,
% 49.71/32.19 ((~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16666, 1391, 16527])).
% 49.71/32.19 tff(16668,plain,
% 49.71/32.19 (v121(constB129, bitIndex0)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16667, 16663])).
% 49.71/32.19 tff(16669,plain,
% 49.71/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0))),
% 49.71/32.19 inference(rewrite,[status(thm)],[])).
% 49.71/32.19 tff(16670,plain,
% 49.71/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0))),
% 49.71/32.19 inference(quant_inst,[status(thm)],[])).
% 49.71/32.19 tff(16671,plain,
% 49.71/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0)),
% 49.71/32.19 inference(modus_ponens,[status(thm)],[16670, 16669])).
% 49.71/32.19 tff(16672,plain,
% 49.71/32.19 ((~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16671, 1406, 16545])).
% 49.71/32.19 tff(16673,plain,
% 49.71/32.19 (v123(constB130, bitIndex0)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16672, 16668])).
% 49.71/32.19 tff(16674,plain,
% 49.71/32.19 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))),
% 49.71/32.19 inference(rewrite,[status(thm)],[])).
% 49.71/32.19 tff(16675,plain,
% 49.71/32.19 ((v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0))) <=> (v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))),
% 49.71/32.19 inference(rewrite,[status(thm)],[])).
% 49.71/32.19 tff(16676,plain,
% 49.71/32.19 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130))))),
% 49.71/32.19 inference(monotonicity,[status(thm)],[16675])).
% 49.71/32.19 tff(16677,plain,
% 49.71/32.19 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))),
% 49.71/32.19 inference(transitivity,[status(thm)],[16676, 16674])).
% 49.71/32.19 tff(16678,plain,
% 49.71/32.19 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0)))),
% 49.71/32.19 inference(quant_inst,[status(thm)],[])).
% 49.71/32.19 tff(16679,plain,
% 49.71/32.19 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130))),
% 49.71/32.19 inference(modus_ponens,[status(thm)],[16678, 16677])).
% 49.71/32.19 tff(16680,plain,
% 49.71/32.19 (v84(constB130, bitIndex0) | (~v94(constB130))),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16679, 1421, 16673])).
% 49.71/32.19 tff(16681,plain,
% 49.71/32.19 (v84(constB130, bitIndex0)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16680, 16579])).
% 49.71/32.19 tff(16682,plain,
% 49.71/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))),
% 49.71/32.19 inference(rewrite,[status(thm)],[])).
% 49.71/32.19 tff(16683,plain,
% 49.71/32.19 (((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0)) <=> ((~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))),
% 49.71/32.19 inference(rewrite,[status(thm)],[])).
% 49.71/32.19 tff(16684,plain,
% 49.71/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0)))),
% 49.71/32.19 inference(monotonicity,[status(thm)],[16683])).
% 49.71/32.19 tff(16685,plain,
% 49.71/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))),
% 49.71/32.19 inference(transitivity,[status(thm)],[16684, 16682])).
% 49.71/32.19 tff(16686,plain,
% 49.71/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0))),
% 49.71/32.19 inference(quant_inst,[status(thm)],[])).
% 49.71/32.19 tff(16687,plain,
% 49.71/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0)),
% 49.71/32.19 inference(modus_ponens,[status(thm)],[16686, 16685])).
% 49.71/32.19 tff(16688,plain,
% 49.71/32.19 ((~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16687, 1439, 16607])).
% 49.71/32.19 tff(16689,plain,
% 49.71/32.19 ((~v84(constB130, bitIndex0)) | v84(constB131, bitIndex0)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16688, 16619])).
% 49.71/32.19 tff(16690,plain,
% 49.71/32.19 (v84(constB131, bitIndex0)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16689, 16681])).
% 49.71/32.19 tff(16691,plain,
% 49.71/32.19 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131))),
% 49.71/32.19 inference(rewrite,[status(thm)],[])).
% 49.71/32.19 tff(16692,plain,
% 49.71/32.19 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131))),
% 49.71/32.19 inference(quant_inst,[status(thm)],[])).
% 49.71/32.19 tff(16693,plain,
% 49.71/32.19 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131)),
% 49.71/32.19 inference(modus_ponens,[status(thm)],[16692, 16691])).
% 49.71/32.19 tff(16694,plain,
% 49.71/32.19 (v116(constB131)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16693, 1825, 16690, 16659, 16628])).
% 49.71/32.19 tff(16695,plain,
% 49.71/32.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB131)) | v124(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB131)) | v124(constB131, bitIndex2))),
% 49.71/32.19 inference(rewrite,[status(thm)],[])).
% 49.71/32.19 tff(16696,plain,
% 49.71/32.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB131)) | v124(constB131, bitIndex2))),
% 49.71/32.19 inference(quant_inst,[status(thm)],[])).
% 49.71/32.19 tff(16697,plain,
% 49.71/32.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB131)) | v124(constB131, bitIndex2)),
% 49.71/32.19 inference(modus_ponens,[status(thm)],[16696, 16695])).
% 49.71/32.19 tff(16698,plain,
% 49.71/32.19 (v124(constB131, bitIndex2)),
% 49.71/32.19 inference(unit_resolution,[status(thm)],[16697, 1923, 16694])).
% 49.71/32.19 tff(16699,plain,
% 49.71/32.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2))),
% 49.71/32.19 inference(rewrite,[status(thm)],[])).
% 49.71/32.19 tff(16700,plain,
% 49.71/32.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2))),
% 49.71/32.19 inference(quant_inst,[status(thm)],[])).
% 49.71/32.19 tff(16701,plain,
% 49.71/32.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2)),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16700, 16699])).
% 49.71/32.21 tff(16702,plain,
% 49.71/32.21 (v26(constB131) | v121(constB131, bitIndex2)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16701, 374, 16698])).
% 49.71/32.21 tff(16703,plain,
% 49.71/32.21 (v121(constB131, bitIndex2)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16702, 13835])).
% 49.71/32.21 tff(16704,plain,
% 49.71/32.21 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16705,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 49.71/32.21 tff(16706,plain,
% 49.71/32.21 (nextState(constB131, constB132)),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16705, 16704])).
% 49.71/32.21 tff(16707,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16708,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16709,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2)),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16708, 16707])).
% 49.71/32.21 tff(16710,plain,
% 49.71/32.21 ((~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16709, 389, 16706])).
% 49.71/32.21 tff(16711,plain,
% 49.71/32.21 (v123(constB132, bitIndex2)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16710, 16703])).
% 49.71/32.21 tff(16712,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB131)) | v110(constB131))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB131)) | v110(constB131))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16713,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB131)) | v110(constB131))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16714,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB131)) | v110(constB131)),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16713, 16712])).
% 49.71/32.21 tff(16715,plain,
% 49.71/32.21 (v110(constB131)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16714, 1836, 16694])).
% 49.71/32.21 tff(16716,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB131)) | v109(constB131))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB131)) | v109(constB131))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16717,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB131)) | v109(constB131))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16718,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB131)) | v109(constB131)),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16717, 16716])).
% 49.71/32.21 tff(16719,plain,
% 49.71/32.21 (v109(constB131)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16718, 306, 16715])).
% 49.71/32.21 tff(16720,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v109(constB131)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v109(constB131)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16721,plain,
% 49.71/32.21 (((~v109(constB131)) | v108(constB131)) <=> (v108(constB131) | (~v109(constB131)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16722,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v109(constB131))))),
% 49.71/32.21 inference(monotonicity,[status(thm)],[16721])).
% 49.71/32.21 tff(16723,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v109(constB131)))),
% 49.71/32.21 inference(transitivity,[status(thm)],[16722, 16720])).
% 49.71/32.21 tff(16724,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB131)) | v108(constB131))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16725,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v109(constB131))),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16724, 16723])).
% 49.71/32.21 tff(16726,plain,
% 49.71/32.21 (v108(constB131)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16725, 320, 16719])).
% 49.71/32.21 tff(16727,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB131) | (~v108(constB131)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB131) | (~v108(constB131)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16728,plain,
% 49.71/32.21 (((~v108(constB131)) | v107(constB131)) <=> (v107(constB131) | (~v108(constB131)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16729,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB131)) | v107(constB131))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB131) | (~v108(constB131))))),
% 49.71/32.21 inference(monotonicity,[status(thm)],[16728])).
% 49.71/32.21 tff(16730,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB131)) | v107(constB131))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB131) | (~v108(constB131)))),
% 49.71/32.21 inference(transitivity,[status(thm)],[16729, 16727])).
% 49.71/32.21 tff(16731,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB131)) | v107(constB131))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16732,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB131) | (~v108(constB131))),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16731, 16730])).
% 49.71/32.21 tff(16733,plain,
% 49.71/32.21 (v107(constB131)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16732, 334, 16726])).
% 49.71/32.21 tff(16734,assumption,(~v102(constB131)), introduced(assumption)).
% 49.71/32.21 tff(16735,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB131) | (~v106(constB131)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB131) | (~v106(constB131)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16736,plain,
% 49.71/32.21 (((~v106(constB131)) | v102(constB131)) <=> (v102(constB131) | (~v106(constB131)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16737,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB131)) | v102(constB131))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB131) | (~v106(constB131))))),
% 49.71/32.21 inference(monotonicity,[status(thm)],[16736])).
% 49.71/32.21 tff(16738,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB131)) | v102(constB131))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB131) | (~v106(constB131)))),
% 49.71/32.21 inference(transitivity,[status(thm)],[16737, 16735])).
% 49.71/32.21 tff(16739,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB131)) | v102(constB131))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16740,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB131) | (~v106(constB131))),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16739, 16738])).
% 49.71/32.21 tff(16741,plain,
% 49.71/32.21 (~v106(constB131)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16740, 504, 16734])).
% 49.71/32.21 tff(16742,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB131) | (~v26(constB131)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB131) | (~v26(constB131)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16743,plain,
% 49.71/32.21 (((~v26(constB131)) | v102(constB131)) <=> (v102(constB131) | (~v26(constB131)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16744,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB131)) | v102(constB131))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB131) | (~v26(constB131))))),
% 49.71/32.21 inference(monotonicity,[status(thm)],[16743])).
% 49.71/32.21 tff(16745,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB131)) | v102(constB131))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB131) | (~v26(constB131)))),
% 49.71/32.21 inference(transitivity,[status(thm)],[16744, 16742])).
% 49.71/32.21 tff(16746,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB131)) | v102(constB131))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16747,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB131) | (~v26(constB131))),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16746, 16745])).
% 49.71/32.21 tff(16748,plain,
% 49.71/32.21 (~v26(constB131)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16747, 723, 16734])).
% 49.71/32.21 tff(16749,assumption,(v107(constB131)), introduced(assumption)).
% 49.71/32.21 tff(16750,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB131) | (~v107(constB131)) | v106(constB131))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB131) | (~v107(constB131)) | v106(constB131))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16751,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB131) | (~v107(constB131)) | v106(constB131))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16752,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB131) | (~v107(constB131)) | v106(constB131)),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16751, 16750])).
% 49.71/32.21 tff(16753,plain,
% 49.71/32.21 (v26(constB131) | v106(constB131)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16752, 348, 16749])).
% 49.71/32.21 tff(16754,plain,
% 49.71/32.21 ($false),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16753, 16748, 16741])).
% 49.71/32.21 tff(16755,plain,(v102(constB131) | (~v107(constB131))), inference(lemma,lemma(discharge,[]))).
% 49.71/32.21 tff(16756,plain,
% 49.71/32.21 (v102(constB131)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16755, 16733])).
% 49.71/32.21 tff(16757,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16758,plain,
% 49.71/32.21 (((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132)) <=> ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16759,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131))))),
% 49.71/32.21 inference(monotonicity,[status(thm)],[16758])).
% 49.71/32.21 tff(16760,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 49.71/32.21 inference(transitivity,[status(thm)],[16759, 16757])).
% 49.71/32.21 tff(16761,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16762,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131))),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16761, 16760])).
% 49.71/32.21 tff(16763,plain,
% 49.71/32.21 (v104(constB132) | (~v102(constB131))),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16762, 489, 16706])).
% 49.71/32.21 tff(16764,plain,
% 49.71/32.21 (v104(constB132)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16763, 16756])).
% 49.71/32.21 tff(16765,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16766,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16767,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132))),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16766, 16765])).
% 49.71/32.21 tff(16768,plain,
% 49.71/32.21 (~v98(constB132)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16767, 423, 16706, 16604])).
% 49.71/32.21 tff(16769,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16770,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16771,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB131, constB132)) | v96(constB132) | v98(constB132)),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16770, 16769])).
% 49.71/32.21 tff(16772,plain,
% 49.71/32.21 (v96(constB132) | v98(constB132)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16771, 437, 16706])).
% 49.71/32.21 tff(16773,plain,
% 49.71/32.21 (v96(constB132)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16772, 16768])).
% 49.71/32.21 tff(16774,plain,
% 49.71/32.21 (v1(constB132) <=> v1(constB132)),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16775,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 49.71/32.21 tff(16776,plain,
% 49.71/32.21 (v1(constB132)),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16775, 16774])).
% 49.71/32.21 tff(16777,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16778,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16779,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132))),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16778, 16777])).
% 49.71/32.21 tff(16780,plain,
% 49.71/32.21 (v95(constB132) | (~v96(constB132))),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16779, 455, 16706, 16776])).
% 49.71/32.21 tff(16781,plain,
% 49.71/32.21 (v95(constB132)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16780, 16773])).
% 49.71/32.21 tff(16782,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16783,plain,
% 49.71/32.21 (((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132)) <=> ((~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16784,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132))))),
% 49.71/32.21 inference(monotonicity,[status(thm)],[16783])).
% 49.71/32.21 tff(16785,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))),
% 49.71/32.21 inference(transitivity,[status(thm)],[16784, 16782])).
% 49.71/32.21 tff(16786,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16787,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132))),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16786, 16785])).
% 49.71/32.21 tff(16788,plain,
% 49.71/32.21 (v94(constB132) | (~v95(constB132)) | (~v104(constB132))),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16787, 470, 16706])).
% 49.71/32.21 tff(16789,plain,
% 49.71/32.21 (v94(constB132) | (~v104(constB132))),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16788, 16781])).
% 49.71/32.21 tff(16790,plain,
% 49.71/32.21 (v94(constB132)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16789, 16764])).
% 49.71/32.21 tff(16791,plain,
% 49.71/32.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16792,plain,
% 49.71/32.21 ((v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2))) <=> (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16793,plain,
% 49.71/32.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132))))),
% 49.71/32.21 inference(monotonicity,[status(thm)],[16792])).
% 49.71/32.21 tff(16794,plain,
% 49.71/32.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))),
% 49.71/32.21 inference(transitivity,[status(thm)],[16793, 16791])).
% 49.71/32.21 tff(16795,plain,
% 49.71/32.21 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2)))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16796,plain,
% 49.71/32.21 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132))),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16795, 16794])).
% 49.71/32.21 tff(16797,plain,
% 49.71/32.21 (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2))),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16796, 405, 16790])).
% 49.71/32.21 tff(16798,plain,
% 49.71/32.21 (v84(constB132, bitIndex2)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16797, 16711])).
% 49.71/32.21 tff(16799,plain,
% 49.71/32.21 ((~v1(constB133)) <=> (~v1(constB133))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16800,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 49.71/32.21 tff(16801,plain,
% 49.71/32.21 (~v1(constB133)),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16800, 16799])).
% 49.71/32.21 tff(16802,plain,
% 49.71/32.21 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16803,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 49.71/32.21 tff(16804,plain,
% 49.71/32.21 (nextState(constB132, constB133)),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16803, 16802])).
% 49.71/32.21 tff(16805,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16806,plain,
% 49.71/32.21 (((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16807,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133))))),
% 49.71/32.21 inference(monotonicity,[status(thm)],[16806])).
% 49.71/32.21 tff(16808,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 49.71/32.21 inference(transitivity,[status(thm)],[16807, 16805])).
% 49.71/32.21 tff(16809,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16810,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133))),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16809, 16808])).
% 49.71/32.21 tff(16811,plain,
% 49.71/32.21 (~v95(constB133)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16810, 110, 16804, 16801])).
% 49.71/32.21 tff(16812,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16813,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16814,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133))),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16813, 16812])).
% 49.71/32.21 tff(16815,plain,
% 49.71/32.21 (v95(constB133) | (~v94(constB133))),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16814, 127, 16804])).
% 49.71/32.21 tff(16816,plain,
% 49.71/32.21 (~v94(constB133)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16815, 16811])).
% 49.71/32.21 tff(16817,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16818,plain,
% 49.71/32.21 (((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2)) <=> ((~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16819,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2)))),
% 49.71/32.21 inference(monotonicity,[status(thm)],[16818])).
% 49.71/32.21 tff(16820,plain,
% 49.71/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))),
% 49.71/32.21 inference(transitivity,[status(thm)],[16819, 16817])).
% 49.71/32.21 tff(16821,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16822,plain,
% 49.71/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2)),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16821, 16820])).
% 49.71/32.21 tff(16823,plain,
% 49.71/32.21 ((~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16822, 576, 16804])).
% 49.71/32.21 tff(16824,plain,
% 49.71/32.21 ((~v84(constB132, bitIndex2)) | v84(constB133, bitIndex2)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16823, 16816])).
% 49.71/32.21 tff(16825,plain,
% 49.71/32.21 (v84(constB133, bitIndex2)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16824, 16798])).
% 49.71/32.21 tff(16826,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB131)) | (~v124(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB131)) | (~v124(constB131, bitIndex1)))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16827,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB131)) | (~v124(constB131, bitIndex1)))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16828,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB131)) | (~v124(constB131, bitIndex1))),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16827, 16826])).
% 49.71/32.21 tff(16829,plain,
% 49.71/32.21 (~v124(constB131, bitIndex1)),
% 49.71/32.21 inference(unit_resolution,[status(thm)],[16828, 1979, 16694])).
% 49.71/32.21 tff(16830,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB131, bitIndex1)) | v26(constB131) | v124(constB131, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB131, bitIndex1)) | v26(constB131) | v124(constB131, bitIndex1))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16831,plain,
% 49.71/32.21 ((v26(constB131) | v124(constB131, bitIndex1) | (~v121(constB131, bitIndex1))) <=> ((~v121(constB131, bitIndex1)) | v26(constB131) | v124(constB131, bitIndex1))),
% 49.71/32.21 inference(rewrite,[status(thm)],[])).
% 49.71/32.21 tff(16832,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB131) | v124(constB131, bitIndex1) | (~v121(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB131, bitIndex1)) | v26(constB131) | v124(constB131, bitIndex1)))),
% 49.71/32.21 inference(monotonicity,[status(thm)],[16831])).
% 49.71/32.21 tff(16833,plain,
% 49.71/32.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB131) | v124(constB131, bitIndex1) | (~v121(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB131, bitIndex1)) | v26(constB131) | v124(constB131, bitIndex1))),
% 49.71/32.21 inference(transitivity,[status(thm)],[16832, 16830])).
% 49.71/32.21 tff(16834,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB131) | v124(constB131, bitIndex1) | (~v121(constB131, bitIndex1)))),
% 49.71/32.21 inference(quant_inst,[status(thm)],[])).
% 49.71/32.21 tff(16835,plain,
% 49.71/32.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB131, bitIndex1)) | v26(constB131) | v124(constB131, bitIndex1)),
% 49.71/32.21 inference(modus_ponens,[status(thm)],[16834, 16833])).
% 49.77/32.22 tff(16836,plain,
% 49.77/32.22 ((~v121(constB131, bitIndex1)) | v26(constB131)),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16835, 233, 16829])).
% 49.77/32.22 tff(16837,plain,
% 49.77/32.22 (~v121(constB131, bitIndex1)),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16836, 13835])).
% 49.77/32.22 tff(16838,plain,
% 49.77/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v121(constB131, bitIndex1) | (~v123(constB132, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB131, constB132)) | v121(constB131, bitIndex1) | (~v123(constB132, bitIndex1)))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16839,plain,
% 49.77/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v121(constB131, bitIndex1) | (~v123(constB132, bitIndex1)))),
% 49.77/32.22 inference(quant_inst,[status(thm)],[])).
% 49.77/32.22 tff(16840,plain,
% 49.77/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB131, constB132)) | v121(constB131, bitIndex1) | (~v123(constB132, bitIndex1))),
% 49.77/32.22 inference(modus_ponens,[status(thm)],[16839, 16838])).
% 49.77/32.22 tff(16841,plain,
% 49.77/32.22 (v121(constB131, bitIndex1) | (~v123(constB132, bitIndex1))),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16840, 254, 16706])).
% 49.77/32.22 tff(16842,plain,
% 49.77/32.22 (~v123(constB132, bitIndex1)),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16841, 16837])).
% 49.77/32.22 tff(16843,plain,
% 49.77/32.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1) | (~v94(constB132)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1) | (~v94(constB132)))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16844,plain,
% 49.77/32.22 (((~v84(constB132, bitIndex1)) | (~v94(constB132)) | v123(constB132, bitIndex1)) <=> ((~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1) | (~v94(constB132)))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16845,plain,
% 49.77/32.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | (~v94(constB132)) | v123(constB132, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1) | (~v94(constB132))))),
% 49.77/32.22 inference(monotonicity,[status(thm)],[16844])).
% 49.77/32.22 tff(16846,plain,
% 49.77/32.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | (~v94(constB132)) | v123(constB132, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1) | (~v94(constB132)))),
% 49.77/32.22 inference(transitivity,[status(thm)],[16845, 16843])).
% 49.77/32.22 tff(16847,plain,
% 49.77/32.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | (~v94(constB132)) | v123(constB132, bitIndex1))),
% 49.77/32.22 inference(quant_inst,[status(thm)],[])).
% 49.77/32.22 tff(16848,plain,
% 49.77/32.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1) | (~v94(constB132))),
% 49.77/32.22 inference(modus_ponens,[status(thm)],[16847, 16846])).
% 49.77/32.22 tff(16849,plain,
% 49.77/32.22 ((~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1)),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16848, 532, 16790])).
% 49.77/32.22 tff(16850,plain,
% 49.77/32.22 (~v84(constB132, bitIndex1)),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16849, 16842])).
% 49.77/32.22 tff(16851,plain,
% 49.77/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex1)))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16852,plain,
% 49.77/32.22 (((~nextState(constB132, constB133)) | v84(constB132, bitIndex1) | v94(constB133) | (~v84(constB133, bitIndex1))) <=> (v84(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex1)))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16853,plain,
% 49.77/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex1) | v94(constB133) | (~v84(constB133, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex1))))),
% 49.77/32.22 inference(monotonicity,[status(thm)],[16852])).
% 49.77/32.22 tff(16854,plain,
% 49.77/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex1) | v94(constB133) | (~v84(constB133, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex1)))),
% 49.77/32.22 inference(transitivity,[status(thm)],[16853, 16851])).
% 49.77/32.22 tff(16855,plain,
% 49.77/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex1) | v94(constB133) | (~v84(constB133, bitIndex1)))),
% 49.77/32.22 inference(quant_inst,[status(thm)],[])).
% 49.77/32.22 tff(16856,plain,
% 49.77/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex1))),
% 49.77/32.22 inference(modus_ponens,[status(thm)],[16855, 16854])).
% 49.77/32.22 tff(16857,plain,
% 49.77/32.22 (v84(constB132, bitIndex1) | v94(constB133) | (~v84(constB133, bitIndex1))),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16856, 163, 16804])).
% 49.77/32.22 tff(16858,plain,
% 49.77/32.22 (v84(constB132, bitIndex1) | (~v84(constB133, bitIndex1))),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16857, 16816])).
% 49.77/32.22 tff(16859,plain,
% 49.77/32.22 (~v84(constB133, bitIndex1)),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16858, 16850])).
% 49.77/32.22 tff(16860,plain,
% 49.77/32.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB131)) | (~v124(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB131)) | (~v124(constB131, bitIndex0)))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16861,plain,
% 49.77/32.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB131)) | (~v124(constB131, bitIndex0)))),
% 49.77/32.22 inference(quant_inst,[status(thm)],[])).
% 49.77/32.22 tff(16862,plain,
% 49.77/32.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB131)) | (~v124(constB131, bitIndex0))),
% 49.77/32.22 inference(modus_ponens,[status(thm)],[16861, 16860])).
% 49.77/32.22 tff(16863,plain,
% 49.77/32.22 (~v124(constB131, bitIndex0)),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16862, 2020, 16694])).
% 49.77/32.22 tff(16864,plain,
% 49.77/32.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16865,plain,
% 49.77/32.22 ((v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0))) <=> ((~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16866,plain,
% 49.77/32.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0)))),
% 49.77/32.22 inference(monotonicity,[status(thm)],[16865])).
% 49.77/32.22 tff(16867,plain,
% 49.77/32.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))),
% 49.77/32.22 inference(transitivity,[status(thm)],[16866, 16864])).
% 49.77/32.22 tff(16868,plain,
% 49.77/32.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0)))),
% 49.77/32.22 inference(quant_inst,[status(thm)],[])).
% 49.77/32.22 tff(16869,plain,
% 49.77/32.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0)),
% 49.77/32.22 inference(modus_ponens,[status(thm)],[16868, 16867])).
% 49.77/32.22 tff(16870,plain,
% 49.77/32.22 ((~v121(constB131, bitIndex0)) | v26(constB131)),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16869, 607, 16863])).
% 49.77/32.22 tff(16871,plain,
% 49.77/32.22 (~v121(constB131, bitIndex0)),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16870, 13835])).
% 49.77/32.22 tff(16872,plain,
% 49.77/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0)))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16873,plain,
% 49.77/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0)))),
% 49.77/32.22 inference(quant_inst,[status(thm)],[])).
% 49.77/32.22 tff(16874,plain,
% 49.77/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0))),
% 49.77/32.22 inference(modus_ponens,[status(thm)],[16873, 16872])).
% 49.77/32.22 tff(16875,plain,
% 49.77/32.22 (v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0))),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16874, 637, 16706])).
% 49.77/32.22 tff(16876,plain,
% 49.77/32.22 (~v123(constB132, bitIndex0)),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16875, 16871])).
% 49.77/32.22 tff(16877,plain,
% 49.77/32.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16878,plain,
% 49.77/32.22 (((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0)) <=> ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16879,plain,
% 49.77/32.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132))))),
% 49.77/32.22 inference(monotonicity,[status(thm)],[16878])).
% 49.77/32.22 tff(16880,plain,
% 49.77/32.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))),
% 49.77/32.22 inference(transitivity,[status(thm)],[16879, 16877])).
% 49.77/32.22 tff(16881,plain,
% 49.77/32.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0))),
% 49.77/32.22 inference(quant_inst,[status(thm)],[])).
% 49.77/32.22 tff(16882,plain,
% 49.77/32.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132))),
% 49.77/32.22 inference(modus_ponens,[status(thm)],[16881, 16880])).
% 49.77/32.22 tff(16883,plain,
% 49.77/32.22 ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0)),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16882, 652, 16790])).
% 49.77/32.22 tff(16884,plain,
% 49.77/32.22 (~v84(constB132, bitIndex0)),
% 49.77/32.22 inference(unit_resolution,[status(thm)],[16883, 16876])).
% 49.77/32.22 tff(16885,plain,
% 49.77/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16886,plain,
% 49.77/32.22 (((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0))) <=> (v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 49.77/32.22 inference(rewrite,[status(thm)],[])).
% 49.77/32.22 tff(16887,plain,
% 49.77/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0))))),
% 49.77/32.22 inference(monotonicity,[status(thm)],[16886])).
% 49.77/32.22 tff(16888,plain,
% 49.77/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 49.77/32.22 inference(transitivity,[status(thm)],[16887, 16885])).
% 49.77/32.23 tff(16889,plain,
% 49.77/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 49.77/32.23 inference(quant_inst,[status(thm)],[])).
% 49.77/32.23 tff(16890,plain,
% 49.77/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0))),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16889, 16888])).
% 49.77/32.23 tff(16891,plain,
% 49.77/32.23 (v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0))),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16890, 184, 16804])).
% 49.77/32.23 tff(16892,plain,
% 49.77/32.23 (v84(constB132, bitIndex0) | (~v84(constB133, bitIndex0))),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16891, 16816])).
% 49.77/32.23 tff(16893,plain,
% 49.77/32.23 (~v84(constB133, bitIndex0)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16892, 16884])).
% 49.77/32.23 tff(16894,plain,
% 49.77/32.23 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v172(constB133))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v172(constB133))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16895,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v172(constB133))),
% 49.77/32.23 inference(quant_inst,[status(thm)],[])).
% 49.77/32.23 tff(16896,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v172(constB133)),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16895, 16894])).
% 49.77/32.23 tff(16897,plain,
% 49.77/32.23 (v172(constB133)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16896, 679, 16893, 16859, 16825])).
% 49.77/32.23 tff(16898,plain,
% 49.77/32.23 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB133) | (~v172(constB133)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB133) | (~v172(constB133)))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16899,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB133) | (~v172(constB133)))),
% 49.77/32.23 inference(quant_inst,[status(thm)],[])).
% 49.77/32.23 tff(16900,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB133) | (~v172(constB133))),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16899, 16898])).
% 49.77/32.23 tff(16901,plain,
% 49.77/32.23 (v109(constB133)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16900, 740, 16897])).
% 49.77/32.23 tff(16902,plain,
% 49.77/32.23 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB133)) | v108(constB133))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16903,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB133)) | v108(constB133))),
% 49.77/32.23 inference(quant_inst,[status(thm)],[])).
% 49.77/32.23 tff(16904,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB133)) | v108(constB133)),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16903, 16902])).
% 49.77/32.23 tff(16905,plain,
% 49.77/32.23 (v108(constB133)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16904, 320, 16901])).
% 49.77/32.23 tff(16906,plain,
% 49.77/32.23 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB133) | (~v108(constB133)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB133) | (~v108(constB133)))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16907,plain,
% 49.77/32.23 (((~v108(constB133)) | v107(constB133)) <=> (v107(constB133) | (~v108(constB133)))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16908,plain,
% 49.77/32.23 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB133)) | v107(constB133))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB133) | (~v108(constB133))))),
% 49.77/32.23 inference(monotonicity,[status(thm)],[16907])).
% 49.77/32.23 tff(16909,plain,
% 49.77/32.23 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB133)) | v107(constB133))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB133) | (~v108(constB133)))),
% 49.77/32.23 inference(transitivity,[status(thm)],[16908, 16906])).
% 49.77/32.23 tff(16910,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB133)) | v107(constB133))),
% 49.77/32.23 inference(quant_inst,[status(thm)],[])).
% 49.77/32.23 tff(16911,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB133) | (~v108(constB133))),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16910, 16909])).
% 49.77/32.23 tff(16912,plain,
% 49.77/32.23 (v107(constB133)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16911, 334, 16905])).
% 49.77/32.23 tff(16913,assumption,(v26(constB133)), introduced(assumption)).
% 49.77/32.23 tff(16914,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB133))),
% 49.77/32.23 inference(quant_inst,[status(thm)],[])).
% 49.77/32.23 tff(16915,plain,
% 49.77/32.23 ($false),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16914, 55, 16913])).
% 49.77/32.23 tff(16916,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.23 tff(16917,plain,
% 49.77/32.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | (~v107(constB133)) | v106(constB133))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB133) | (~v107(constB133)) | v106(constB133))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16918,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | (~v107(constB133)) | v106(constB133))),
% 49.77/32.23 inference(quant_inst,[status(thm)],[])).
% 49.77/32.23 tff(16919,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB133) | (~v107(constB133)) | v106(constB133)),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16918, 16917])).
% 49.77/32.23 tff(16920,plain,
% 49.77/32.23 ((~v107(constB133)) | v106(constB133)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16919, 348, 16916])).
% 49.77/32.23 tff(16921,plain,
% 49.77/32.23 (v106(constB133)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16920, 16912])).
% 49.77/32.23 tff(16922,plain,
% 49.77/32.23 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB133) | (~v106(constB133)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB133) | (~v106(constB133)))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16923,plain,
% 49.77/32.23 (((~v106(constB133)) | v102(constB133)) <=> (v102(constB133) | (~v106(constB133)))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16924,plain,
% 49.77/32.23 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB133)) | v102(constB133))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB133) | (~v106(constB133))))),
% 49.77/32.23 inference(monotonicity,[status(thm)],[16923])).
% 49.77/32.23 tff(16925,plain,
% 49.77/32.23 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB133)) | v102(constB133))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB133) | (~v106(constB133)))),
% 49.77/32.23 inference(transitivity,[status(thm)],[16924, 16922])).
% 49.77/32.23 tff(16926,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB133)) | v102(constB133))),
% 49.77/32.23 inference(quant_inst,[status(thm)],[])).
% 49.77/32.23 tff(16927,plain,
% 49.77/32.23 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB133) | (~v106(constB133))),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16926, 16925])).
% 49.77/32.23 tff(16928,plain,
% 49.77/32.23 (v102(constB133)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16927, 504, 16921])).
% 49.77/32.23 tff(16929,plain,
% 49.77/32.23 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16930,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 49.77/32.23 tff(16931,plain,
% 49.77/32.23 (nextState(constB133, constB134)),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16930, 16929])).
% 49.77/32.23 tff(16932,plain,
% 49.77/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16933,plain,
% 49.77/32.23 (((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134)) <=> ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16934,plain,
% 49.77/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133))))),
% 49.77/32.23 inference(monotonicity,[status(thm)],[16933])).
% 49.77/32.23 tff(16935,plain,
% 49.77/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 49.77/32.23 inference(transitivity,[status(thm)],[16934, 16932])).
% 49.77/32.23 tff(16936,plain,
% 49.77/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))),
% 49.77/32.23 inference(quant_inst,[status(thm)],[])).
% 49.77/32.23 tff(16937,plain,
% 49.77/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133))),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16936, 16935])).
% 49.77/32.23 tff(16938,plain,
% 49.77/32.23 (v104(constB134) | (~v102(constB133))),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16937, 489, 16931])).
% 49.77/32.23 tff(16939,plain,
% 49.77/32.23 (v104(constB134)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16938, 16928])).
% 49.77/32.23 tff(16940,plain,
% 49.77/32.23 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16941,plain,
% 49.77/32.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))),
% 49.77/32.23 inference(quant_inst,[status(thm)],[])).
% 49.77/32.23 tff(16942,plain,
% 49.77/32.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134))),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16941, 16940])).
% 49.77/32.23 tff(16943,plain,
% 49.77/32.23 (~v98(constB134)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16942, 423, 16931, 16801])).
% 49.77/32.23 tff(16944,plain,
% 49.77/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16945,plain,
% 49.77/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))),
% 49.77/32.23 inference(quant_inst,[status(thm)],[])).
% 49.77/32.23 tff(16946,plain,
% 49.77/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB133, constB134)) | v96(constB134) | v98(constB134)),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16945, 16944])).
% 49.77/32.23 tff(16947,plain,
% 49.77/32.23 (v96(constB134) | v98(constB134)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16946, 437, 16931])).
% 49.77/32.23 tff(16948,plain,
% 49.77/32.23 (v96(constB134)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16947, 16943])).
% 49.77/32.23 tff(16949,plain,
% 49.77/32.23 (v1(constB134) <=> v1(constB134)),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16950,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 49.77/32.23 tff(16951,plain,
% 49.77/32.23 (v1(constB134)),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16950, 16949])).
% 49.77/32.23 tff(16952,plain,
% 49.77/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16953,plain,
% 49.77/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))),
% 49.77/32.23 inference(quant_inst,[status(thm)],[])).
% 49.77/32.23 tff(16954,plain,
% 49.77/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134))),
% 49.77/32.23 inference(modus_ponens,[status(thm)],[16953, 16952])).
% 49.77/32.23 tff(16955,plain,
% 49.77/32.23 (v95(constB134) | (~v96(constB134))),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16954, 455, 16931, 16951])).
% 49.77/32.23 tff(16956,plain,
% 49.77/32.23 (v95(constB134)),
% 49.77/32.23 inference(unit_resolution,[status(thm)],[16955, 16948])).
% 49.77/32.23 tff(16957,plain,
% 49.77/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16958,plain,
% 49.77/32.23 (((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134)) <=> ((~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))),
% 49.77/32.23 inference(rewrite,[status(thm)],[])).
% 49.77/32.23 tff(16959,plain,
% 49.77/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134))))),
% 49.77/32.23 inference(monotonicity,[status(thm)],[16958])).
% 49.77/32.23 tff(16960,plain,
% 49.77/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))),
% 49.77/32.24 inference(transitivity,[status(thm)],[16959, 16957])).
% 49.77/32.24 tff(16961,plain,
% 49.77/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))),
% 49.77/32.24 inference(quant_inst,[status(thm)],[])).
% 49.77/32.24 tff(16962,plain,
% 49.77/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134))),
% 49.77/32.24 inference(modus_ponens,[status(thm)],[16961, 16960])).
% 49.77/32.24 tff(16963,plain,
% 49.77/32.24 (v94(constB134) | (~v95(constB134)) | (~v104(constB134))),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[16962, 470, 16931])).
% 49.77/32.24 tff(16964,plain,
% 49.77/32.24 (v94(constB134) | (~v104(constB134))),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[16963, 16956])).
% 49.77/32.24 tff(16965,plain,
% 49.77/32.24 (v94(constB134)),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[16964, 16939])).
% 49.77/32.24 tff(16966,plain,
% 49.77/32.24 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB133)) | v124(constB133, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB133)) | v124(constB133, bitIndex2))),
% 49.77/32.24 inference(rewrite,[status(thm)],[])).
% 49.77/32.24 tff(16967,plain,
% 49.77/32.24 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB133)) | v124(constB133, bitIndex2))),
% 49.77/32.24 inference(quant_inst,[status(thm)],[])).
% 49.77/32.24 tff(16968,plain,
% 49.77/32.24 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB133)) | v124(constB133, bitIndex2)),
% 49.77/32.24 inference(modus_ponens,[status(thm)],[16967, 16966])).
% 49.77/32.24 tff(16969,plain,
% 49.77/32.24 (v124(constB133, bitIndex2)),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[16968, 691, 16897])).
% 49.77/32.24 tff(16970,plain,
% 49.77/32.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB133) | (~v124(constB133, bitIndex2)) | v121(constB133, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB133) | (~v124(constB133, bitIndex2)) | v121(constB133, bitIndex2))),
% 49.77/32.24 inference(rewrite,[status(thm)],[])).
% 49.77/32.24 tff(16971,plain,
% 49.77/32.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB133) | (~v124(constB133, bitIndex2)) | v121(constB133, bitIndex2))),
% 49.77/32.24 inference(quant_inst,[status(thm)],[])).
% 49.77/32.24 tff(16972,plain,
% 49.77/32.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB133) | (~v124(constB133, bitIndex2)) | v121(constB133, bitIndex2)),
% 49.77/32.24 inference(modus_ponens,[status(thm)],[16971, 16970])).
% 49.77/32.24 tff(16973,plain,
% 49.77/32.24 ((~v124(constB133, bitIndex2)) | v121(constB133, bitIndex2)),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[16972, 374, 16916])).
% 49.77/32.24 tff(16974,plain,
% 49.77/32.24 (v121(constB133, bitIndex2)),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[16973, 16969])).
% 49.77/32.24 tff(16975,plain,
% 49.77/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v121(constB133, bitIndex2)) | v123(constB134, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB133, constB134)) | (~v121(constB133, bitIndex2)) | v123(constB134, bitIndex2))),
% 49.77/32.24 inference(rewrite,[status(thm)],[])).
% 49.77/32.24 tff(16976,plain,
% 49.77/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v121(constB133, bitIndex2)) | v123(constB134, bitIndex2))),
% 49.77/32.24 inference(quant_inst,[status(thm)],[])).
% 49.77/32.24 tff(16977,plain,
% 49.77/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB133, constB134)) | (~v121(constB133, bitIndex2)) | v123(constB134, bitIndex2)),
% 49.77/32.24 inference(modus_ponens,[status(thm)],[16976, 16975])).
% 49.77/32.24 tff(16978,plain,
% 49.77/32.24 ((~v121(constB133, bitIndex2)) | v123(constB134, bitIndex2)),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[16977, 389, 16931])).
% 49.77/32.24 tff(16979,plain,
% 49.77/32.24 (v123(constB134, bitIndex2)),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[16978, 16974])).
% 49.77/32.24 tff(16980,plain,
% 49.77/32.24 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~v123(constB134, bitIndex2)) | (~v94(constB134)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB134, bitIndex2) | (~v123(constB134, bitIndex2)) | (~v94(constB134)))),
% 49.77/32.24 inference(rewrite,[status(thm)],[])).
% 49.77/32.24 tff(16981,plain,
% 49.77/32.24 ((v84(constB134, bitIndex2) | (~v94(constB134)) | (~v123(constB134, bitIndex2))) <=> (v84(constB134, bitIndex2) | (~v123(constB134, bitIndex2)) | (~v94(constB134)))),
% 49.77/32.24 inference(rewrite,[status(thm)],[])).
% 49.77/32.24 tff(16982,plain,
% 49.77/32.24 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~v94(constB134)) | (~v123(constB134, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~v123(constB134, bitIndex2)) | (~v94(constB134))))),
% 49.77/32.24 inference(monotonicity,[status(thm)],[16981])).
% 49.77/32.24 tff(16983,plain,
% 49.77/32.24 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~v94(constB134)) | (~v123(constB134, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB134, bitIndex2) | (~v123(constB134, bitIndex2)) | (~v94(constB134)))),
% 49.77/32.24 inference(transitivity,[status(thm)],[16982, 16980])).
% 49.77/32.24 tff(16984,plain,
% 49.77/32.24 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~v94(constB134)) | (~v123(constB134, bitIndex2)))),
% 49.77/32.24 inference(quant_inst,[status(thm)],[])).
% 49.77/32.24 tff(16985,plain,
% 49.77/32.24 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB134, bitIndex2) | (~v123(constB134, bitIndex2)) | (~v94(constB134))),
% 49.77/32.24 inference(modus_ponens,[status(thm)],[16984, 16983])).
% 49.77/32.24 tff(16986,plain,
% 49.77/32.24 (v84(constB134, bitIndex2) | (~v94(constB134))),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[16985, 405, 16979])).
% 49.77/32.24 tff(16987,plain,
% 49.77/32.24 (v84(constB134, bitIndex2)),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[16986, 16965])).
% 49.77/32.24 tff(16988,plain,
% 49.77/32.24 ((~v1(constB135)) <=> (~v1(constB135))),
% 49.77/32.24 inference(rewrite,[status(thm)],[])).
% 49.77/32.24 tff(16989,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 49.77/32.24 tff(16990,plain,
% 49.77/32.24 (~v1(constB135)),
% 49.77/32.24 inference(modus_ponens,[status(thm)],[16989, 16988])).
% 49.77/32.24 tff(16991,plain,
% 49.77/32.24 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 49.77/32.24 inference(rewrite,[status(thm)],[])).
% 49.77/32.24 tff(16992,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 49.77/32.24 tff(16993,plain,
% 49.77/32.24 (nextState(constB134, constB135)),
% 49.77/32.24 inference(modus_ponens,[status(thm)],[16992, 16991])).
% 49.77/32.24 tff(16994,plain,
% 49.77/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 49.77/32.24 inference(rewrite,[status(thm)],[])).
% 49.77/32.24 tff(16995,plain,
% 49.77/32.24 (((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 49.77/32.24 inference(rewrite,[status(thm)],[])).
% 49.77/32.24 tff(16996,plain,
% 49.77/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135))))),
% 49.77/32.24 inference(monotonicity,[status(thm)],[16995])).
% 49.77/32.24 tff(16997,plain,
% 49.77/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 49.77/32.24 inference(transitivity,[status(thm)],[16996, 16994])).
% 49.77/32.24 tff(16998,plain,
% 49.77/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))),
% 49.77/32.24 inference(quant_inst,[status(thm)],[])).
% 49.77/32.24 tff(16999,plain,
% 49.77/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135))),
% 49.77/32.24 inference(modus_ponens,[status(thm)],[16998, 16997])).
% 49.77/32.24 tff(17000,plain,
% 49.77/32.24 (~v95(constB135)),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[16999, 110, 16993, 16990])).
% 49.77/32.24 tff(17001,plain,
% 49.77/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))),
% 49.77/32.24 inference(rewrite,[status(thm)],[])).
% 49.77/32.24 tff(17002,plain,
% 49.77/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))),
% 49.77/32.24 inference(quant_inst,[status(thm)],[])).
% 49.77/32.24 tff(17003,plain,
% 49.77/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135))),
% 49.77/32.24 inference(modus_ponens,[status(thm)],[17002, 17001])).
% 49.77/32.24 tff(17004,plain,
% 49.77/32.24 (v95(constB135) | (~v94(constB135))),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[17003, 127, 16993])).
% 49.77/32.24 tff(17005,plain,
% 49.77/32.24 (~v94(constB135)),
% 49.77/32.24 inference(unit_resolution,[status(thm)],[17004, 17000])).
% 49.77/32.24 tff(17006,plain,
% 49.77/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex2))),
% 49.77/32.24 inference(rewrite,[status(thm)],[])).
% 49.77/32.24 tff(17007,plain,
% 49.77/32.24 (((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex2)) | v94(constB135) | v84(constB135, bitIndex2)) <=> ((~v84(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex2))),
% 49.77/32.25 inference(rewrite,[status(thm)],[])).
% 49.77/32.25 tff(17008,plain,
% 49.77/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex2)) | v94(constB135) | v84(constB135, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex2)))),
% 49.77/32.25 inference(monotonicity,[status(thm)],[17007])).
% 49.77/32.25 tff(17009,plain,
% 49.77/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex2)) | v94(constB135) | v84(constB135, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex2))),
% 49.77/32.25 inference(transitivity,[status(thm)],[17008, 17006])).
% 49.77/32.25 tff(17010,plain,
% 49.77/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex2)) | v94(constB135) | v84(constB135, bitIndex2))),
% 49.77/32.25 inference(quant_inst,[status(thm)],[])).
% 49.77/32.25 tff(17011,plain,
% 49.77/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex2)),
% 49.77/32.25 inference(modus_ponens,[status(thm)],[17010, 17009])).
% 49.77/32.25 tff(17012,plain,
% 49.77/32.25 ((~v84(constB134, bitIndex2)) | v94(constB135) | v84(constB135, bitIndex2)),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17011, 576, 16993])).
% 49.77/32.25 tff(17013,plain,
% 49.77/32.25 ((~v84(constB134, bitIndex2)) | v84(constB135, bitIndex2)),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17012, 17005])).
% 49.77/32.25 tff(17014,plain,
% 49.77/32.25 (v84(constB135, bitIndex2)),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17013, 16987])).
% 49.77/32.25 tff(17015,plain,
% 49.77/32.25 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB133)) | v124(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB133)) | v124(constB133, bitIndex1))),
% 49.77/32.25 inference(rewrite,[status(thm)],[])).
% 49.77/32.25 tff(17016,plain,
% 49.77/32.25 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB133)) | v124(constB133, bitIndex1))),
% 49.77/32.25 inference(quant_inst,[status(thm)],[])).
% 49.77/32.25 tff(17017,plain,
% 49.77/32.25 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB133)) | v124(constB133, bitIndex1)),
% 49.77/32.25 inference(modus_ponens,[status(thm)],[17016, 17015])).
% 49.77/32.25 tff(17018,plain,
% 49.77/32.25 (v124(constB133, bitIndex1)),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17017, 843, 16897])).
% 49.77/32.25 tff(17019,plain,
% 49.77/32.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB133) | (~v124(constB133, bitIndex1)) | v121(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB133) | (~v124(constB133, bitIndex1)) | v121(constB133, bitIndex1))),
% 49.77/32.25 inference(rewrite,[status(thm)],[])).
% 49.77/32.25 tff(17020,plain,
% 49.77/32.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB133) | (~v124(constB133, bitIndex1)) | v121(constB133, bitIndex1))),
% 49.77/32.25 inference(quant_inst,[status(thm)],[])).
% 49.77/32.25 tff(17021,plain,
% 49.77/32.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB133) | (~v124(constB133, bitIndex1)) | v121(constB133, bitIndex1)),
% 49.77/32.25 inference(modus_ponens,[status(thm)],[17020, 17019])).
% 49.77/32.25 tff(17022,plain,
% 49.77/32.25 ((~v124(constB133, bitIndex1)) | v121(constB133, bitIndex1)),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17021, 857, 16916])).
% 49.77/32.25 tff(17023,plain,
% 49.77/32.25 (v121(constB133, bitIndex1)),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17022, 17018])).
% 49.77/32.25 tff(17024,plain,
% 49.77/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v121(constB133, bitIndex1)) | v123(constB134, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB133, constB134)) | (~v121(constB133, bitIndex1)) | v123(constB134, bitIndex1))),
% 49.77/32.25 inference(rewrite,[status(thm)],[])).
% 49.77/32.25 tff(17025,plain,
% 49.77/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v121(constB133, bitIndex1)) | v123(constB134, bitIndex1))),
% 49.77/32.25 inference(quant_inst,[status(thm)],[])).
% 49.77/32.25 tff(17026,plain,
% 49.77/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB133, constB134)) | (~v121(constB133, bitIndex1)) | v123(constB134, bitIndex1)),
% 49.77/32.25 inference(modus_ponens,[status(thm)],[17025, 17024])).
% 49.77/32.25 tff(17027,plain,
% 49.77/32.25 ((~v121(constB133, bitIndex1)) | v123(constB134, bitIndex1)),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17026, 872, 16931])).
% 49.77/32.25 tff(17028,plain,
% 49.77/32.25 (v123(constB134, bitIndex1)),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17027, 17023])).
% 49.77/32.25 tff(17029,plain,
% 49.77/32.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)) | (~v94(constB134)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)) | (~v94(constB134)))),
% 49.77/32.25 inference(rewrite,[status(thm)],[])).
% 49.77/32.25 tff(17030,plain,
% 49.77/32.25 ((v84(constB134, bitIndex1) | (~v94(constB134)) | (~v123(constB134, bitIndex1))) <=> (v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)) | (~v94(constB134)))),
% 49.77/32.25 inference(rewrite,[status(thm)],[])).
% 49.77/32.25 tff(17031,plain,
% 49.77/32.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~v94(constB134)) | (~v123(constB134, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)) | (~v94(constB134))))),
% 49.77/32.25 inference(monotonicity,[status(thm)],[17030])).
% 49.77/32.25 tff(17032,plain,
% 49.77/32.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~v94(constB134)) | (~v123(constB134, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)) | (~v94(constB134)))),
% 49.77/32.25 inference(transitivity,[status(thm)],[17031, 17029])).
% 49.77/32.25 tff(17033,plain,
% 49.77/32.25 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~v94(constB134)) | (~v123(constB134, bitIndex1)))),
% 49.77/32.25 inference(quant_inst,[status(thm)],[])).
% 49.77/32.25 tff(17034,plain,
% 49.77/32.25 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)) | (~v94(constB134))),
% 49.77/32.25 inference(modus_ponens,[status(thm)],[17033, 17032])).
% 49.77/32.25 tff(17035,plain,
% 49.77/32.25 (v84(constB134, bitIndex1) | (~v94(constB134))),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17034, 887, 17028])).
% 49.77/32.25 tff(17036,plain,
% 49.77/32.25 (v84(constB134, bitIndex1)),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17035, 16965])).
% 49.77/32.25 tff(17037,plain,
% 49.77/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex1))),
% 49.77/32.25 inference(rewrite,[status(thm)],[])).
% 49.77/32.25 tff(17038,plain,
% 49.77/32.25 (((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex1)) | v94(constB135) | v84(constB135, bitIndex1)) <=> ((~v84(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex1))),
% 49.77/32.25 inference(rewrite,[status(thm)],[])).
% 49.77/32.25 tff(17039,plain,
% 49.77/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex1)) | v94(constB135) | v84(constB135, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex1)))),
% 49.77/32.25 inference(monotonicity,[status(thm)],[17038])).
% 49.77/32.25 tff(17040,plain,
% 49.77/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex1)) | v94(constB135) | v84(constB135, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex1))),
% 49.77/32.25 inference(transitivity,[status(thm)],[17039, 17037])).
% 49.77/32.25 tff(17041,plain,
% 49.77/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex1)) | v94(constB135) | v84(constB135, bitIndex1))),
% 49.77/32.25 inference(quant_inst,[status(thm)],[])).
% 49.77/32.25 tff(17042,plain,
% 49.77/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex1)),
% 49.77/32.25 inference(modus_ponens,[status(thm)],[17041, 17040])).
% 49.77/32.25 tff(17043,plain,
% 49.77/32.25 ((~v84(constB134, bitIndex1)) | v94(constB135) | v84(constB135, bitIndex1)),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17042, 905, 16993])).
% 49.77/32.25 tff(17044,plain,
% 49.77/32.25 ((~v84(constB134, bitIndex1)) | v84(constB135, bitIndex1)),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17043, 17005])).
% 49.77/32.25 tff(17045,plain,
% 49.77/32.25 (v84(constB135, bitIndex1)),
% 49.77/32.25 inference(unit_resolution,[status(thm)],[17044, 17036])).
% 49.77/32.25 tff(17046,plain,
% 49.77/32.25 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB133)) | (~v124(constB133, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB133)) | (~v124(constB133, bitIndex0)))),
% 49.77/32.25 inference(rewrite,[status(thm)],[])).
% 49.77/32.25 tff(17047,plain,
% 49.77/32.25 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB133)) | (~v124(constB133, bitIndex0)))),
% 49.77/32.25 inference(quant_inst,[status(thm)],[])).
% 49.77/32.25 tff(17048,plain,
% 49.77/32.25 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB133)) | (~v124(constB133, bitIndex0))),
% 49.77/32.25 inference(modus_ponens,[status(thm)],[17047, 17046])).
% 49.77/32.25 tff(17049,plain,
% 49.77/32.25 (~v124(constB133, bitIndex0)),
% 49.80/32.25 inference(unit_resolution,[status(thm)],[17048, 921, 16897])).
% 49.80/32.25 tff(17050,plain,
% 49.80/32.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB133, bitIndex0)) | v26(constB133) | v124(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB133, bitIndex0)) | v26(constB133) | v124(constB133, bitIndex0))),
% 49.80/32.25 inference(rewrite,[status(thm)],[])).
% 49.80/32.25 tff(17051,plain,
% 49.80/32.25 ((v26(constB133) | v124(constB133, bitIndex0) | (~v121(constB133, bitIndex0))) <=> ((~v121(constB133, bitIndex0)) | v26(constB133) | v124(constB133, bitIndex0))),
% 49.80/32.25 inference(rewrite,[status(thm)],[])).
% 49.80/32.25 tff(17052,plain,
% 49.80/32.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB133) | v124(constB133, bitIndex0) | (~v121(constB133, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB133, bitIndex0)) | v26(constB133) | v124(constB133, bitIndex0)))),
% 49.80/32.25 inference(monotonicity,[status(thm)],[17051])).
% 49.80/32.25 tff(17053,plain,
% 49.80/32.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB133) | v124(constB133, bitIndex0) | (~v121(constB133, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB133, bitIndex0)) | v26(constB133) | v124(constB133, bitIndex0))),
% 49.80/32.25 inference(transitivity,[status(thm)],[17052, 17050])).
% 49.80/32.25 tff(17054,plain,
% 49.80/32.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB133) | v124(constB133, bitIndex0) | (~v121(constB133, bitIndex0)))),
% 49.80/32.25 inference(quant_inst,[status(thm)],[])).
% 49.80/32.25 tff(17055,plain,
% 49.80/32.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB133, bitIndex0)) | v26(constB133) | v124(constB133, bitIndex0)),
% 49.80/32.25 inference(modus_ponens,[status(thm)],[17054, 17053])).
% 49.80/32.25 tff(17056,plain,
% 49.80/32.25 ((~v121(constB133, bitIndex0)) | v124(constB133, bitIndex0)),
% 49.80/32.25 inference(unit_resolution,[status(thm)],[17055, 607, 16916])).
% 49.80/32.25 tff(17057,plain,
% 49.80/32.25 (~v121(constB133, bitIndex0)),
% 49.80/32.25 inference(unit_resolution,[status(thm)],[17056, 17049])).
% 49.80/32.25 tff(17058,plain,
% 49.80/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v121(constB133, bitIndex0) | (~v123(constB134, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB133, constB134)) | v121(constB133, bitIndex0) | (~v123(constB134, bitIndex0)))),
% 49.80/32.25 inference(rewrite,[status(thm)],[])).
% 49.80/32.25 tff(17059,plain,
% 49.80/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v121(constB133, bitIndex0) | (~v123(constB134, bitIndex0)))),
% 49.80/32.25 inference(quant_inst,[status(thm)],[])).
% 49.80/32.25 tff(17060,plain,
% 49.80/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB133, constB134)) | v121(constB133, bitIndex0) | (~v123(constB134, bitIndex0))),
% 49.80/32.25 inference(modus_ponens,[status(thm)],[17059, 17058])).
% 49.80/32.25 tff(17061,plain,
% 49.80/32.25 (v121(constB133, bitIndex0) | (~v123(constB134, bitIndex0))),
% 49.80/32.25 inference(unit_resolution,[status(thm)],[17060, 637, 16931])).
% 49.80/32.25 tff(17062,plain,
% 49.80/32.25 (~v123(constB134, bitIndex0)),
% 49.80/32.25 inference(unit_resolution,[status(thm)],[17061, 17057])).
% 49.80/32.25 tff(17063,plain,
% 49.80/32.25 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | v123(constB134, bitIndex0) | (~v94(constB134)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB134, bitIndex0)) | v123(constB134, bitIndex0) | (~v94(constB134)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17064,plain,
% 49.80/32.26 (((~v84(constB134, bitIndex0)) | (~v94(constB134)) | v123(constB134, bitIndex0)) <=> ((~v84(constB134, bitIndex0)) | v123(constB134, bitIndex0) | (~v94(constB134)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17065,plain,
% 49.80/32.26 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | (~v94(constB134)) | v123(constB134, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | v123(constB134, bitIndex0) | (~v94(constB134))))),
% 49.80/32.26 inference(monotonicity,[status(thm)],[17064])).
% 49.80/32.26 tff(17066,plain,
% 49.80/32.26 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | (~v94(constB134)) | v123(constB134, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB134, bitIndex0)) | v123(constB134, bitIndex0) | (~v94(constB134)))),
% 49.80/32.26 inference(transitivity,[status(thm)],[17065, 17063])).
% 49.80/32.26 tff(17067,plain,
% 49.80/32.26 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | (~v94(constB134)) | v123(constB134, bitIndex0))),
% 49.80/32.26 inference(quant_inst,[status(thm)],[])).
% 49.80/32.26 tff(17068,plain,
% 49.80/32.26 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB134, bitIndex0)) | v123(constB134, bitIndex0) | (~v94(constB134))),
% 49.80/32.26 inference(modus_ponens,[status(thm)],[17067, 17066])).
% 49.80/32.26 tff(17069,plain,
% 49.80/32.26 ((~v84(constB134, bitIndex0)) | (~v94(constB134))),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17068, 652, 17062])).
% 49.80/32.26 tff(17070,plain,
% 49.80/32.26 (~v84(constB134, bitIndex0)),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17069, 16965])).
% 49.80/32.26 tff(17071,plain,
% 49.80/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex0)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17072,plain,
% 49.80/32.26 (((~nextState(constB134, constB135)) | v84(constB134, bitIndex0) | v94(constB135) | (~v84(constB135, bitIndex0))) <=> (v84(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex0)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17073,plain,
% 49.80/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex0) | v94(constB135) | (~v84(constB135, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex0))))),
% 49.80/32.26 inference(monotonicity,[status(thm)],[17072])).
% 49.80/32.26 tff(17074,plain,
% 49.80/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex0) | v94(constB135) | (~v84(constB135, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex0)))),
% 49.80/32.26 inference(transitivity,[status(thm)],[17073, 17071])).
% 49.80/32.26 tff(17075,plain,
% 49.80/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex0) | v94(constB135) | (~v84(constB135, bitIndex0)))),
% 49.80/32.26 inference(quant_inst,[status(thm)],[])).
% 49.80/32.26 tff(17076,plain,
% 49.80/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex0))),
% 49.80/32.26 inference(modus_ponens,[status(thm)],[17075, 17074])).
% 49.80/32.26 tff(17077,plain,
% 49.80/32.26 (v84(constB134, bitIndex0) | v94(constB135) | (~v84(constB135, bitIndex0))),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17076, 184, 16993])).
% 49.80/32.26 tff(17078,plain,
% 49.80/32.26 (v84(constB134, bitIndex0) | (~v84(constB135, bitIndex0))),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17077, 17005])).
% 49.80/32.26 tff(17079,plain,
% 49.80/32.26 (~v84(constB135, bitIndex0)),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17078, 17070])).
% 49.80/32.26 tff(17080,plain,
% 49.80/32.26 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17081,plain,
% 49.80/32.26 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135))),
% 49.80/32.26 inference(quant_inst,[status(thm)],[])).
% 49.80/32.26 tff(17082,plain,
% 49.80/32.26 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135)),
% 49.80/32.26 inference(modus_ponens,[status(thm)],[17081, 17080])).
% 49.80/32.26 tff(17083,plain,
% 49.80/32.26 (v119(constB135)),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17082, 965, 17079, 17045, 17014])).
% 49.80/32.26 tff(17084,plain,
% 49.80/32.26 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB135) | (~v119(constB135)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB135) | (~v119(constB135)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17085,plain,
% 49.80/32.26 (((~v119(constB135)) | v107(constB135)) <=> (v107(constB135) | (~v119(constB135)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17086,plain,
% 49.80/32.26 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB135)) | v107(constB135))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB135) | (~v119(constB135))))),
% 49.80/32.26 inference(monotonicity,[status(thm)],[17085])).
% 49.80/32.26 tff(17087,plain,
% 49.80/32.26 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB135)) | v107(constB135))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB135) | (~v119(constB135)))),
% 49.80/32.26 inference(transitivity,[status(thm)],[17086, 17084])).
% 49.80/32.26 tff(17088,plain,
% 49.80/32.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB135)) | v107(constB135))),
% 49.80/32.26 inference(quant_inst,[status(thm)],[])).
% 49.80/32.26 tff(17089,plain,
% 49.80/32.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB135) | (~v119(constB135))),
% 49.80/32.26 inference(modus_ponens,[status(thm)],[17088, 17087])).
% 49.80/32.26 tff(17090,plain,
% 49.80/32.26 (v107(constB135)),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17089, 976, 17083])).
% 49.80/32.26 tff(17091,assumption,(v26(constB135)), introduced(assumption)).
% 49.80/32.26 tff(17092,plain,
% 49.80/32.26 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB135))),
% 49.80/32.26 inference(quant_inst,[status(thm)],[])).
% 49.80/32.26 tff(17093,plain,
% 49.80/32.26 ($false),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17092, 55, 17091])).
% 49.80/32.26 tff(17094,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 49.80/32.26 tff(17095,plain,
% 49.80/32.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | v106(constB135) | (~v107(constB135)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | v106(constB135) | (~v107(constB135)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17096,plain,
% 49.80/32.26 ((v26(constB135) | (~v107(constB135)) | v106(constB135)) <=> (v26(constB135) | v106(constB135) | (~v107(constB135)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17097,plain,
% 49.80/32.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | v106(constB135) | (~v107(constB135))))),
% 49.80/32.26 inference(monotonicity,[status(thm)],[17096])).
% 49.80/32.26 tff(17098,plain,
% 49.80/32.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | v106(constB135) | (~v107(constB135)))),
% 49.80/32.26 inference(transitivity,[status(thm)],[17097, 17095])).
% 49.80/32.26 tff(17099,plain,
% 49.80/32.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))),
% 49.80/32.26 inference(quant_inst,[status(thm)],[])).
% 49.80/32.26 tff(17100,plain,
% 49.80/32.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | v106(constB135) | (~v107(constB135))),
% 49.80/32.26 inference(modus_ponens,[status(thm)],[17099, 17098])).
% 49.80/32.26 tff(17101,plain,
% 49.80/32.26 (v106(constB135) | (~v107(constB135))),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17100, 348, 17094])).
% 49.80/32.26 tff(17102,plain,
% 49.80/32.26 (v106(constB135)),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17101, 17090])).
% 49.80/32.26 tff(17103,plain,
% 49.80/32.26 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB135) | (~v106(constB135)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB135) | (~v106(constB135)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17104,plain,
% 49.80/32.26 (((~v106(constB135)) | v102(constB135)) <=> (v102(constB135) | (~v106(constB135)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17105,plain,
% 49.80/32.26 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB135)) | v102(constB135))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB135) | (~v106(constB135))))),
% 49.80/32.26 inference(monotonicity,[status(thm)],[17104])).
% 49.80/32.26 tff(17106,plain,
% 49.80/32.26 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB135)) | v102(constB135))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB135) | (~v106(constB135)))),
% 49.80/32.26 inference(transitivity,[status(thm)],[17105, 17103])).
% 49.80/32.26 tff(17107,plain,
% 49.80/32.26 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB135)) | v102(constB135))),
% 49.80/32.26 inference(quant_inst,[status(thm)],[])).
% 49.80/32.26 tff(17108,plain,
% 49.80/32.26 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB135) | (~v106(constB135))),
% 49.80/32.26 inference(modus_ponens,[status(thm)],[17107, 17106])).
% 49.80/32.26 tff(17109,plain,
% 49.80/32.26 (v102(constB135)),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17108, 504, 17102])).
% 49.80/32.26 tff(17110,plain,
% 49.80/32.26 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17111,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 49.80/32.26 tff(17112,plain,
% 49.80/32.26 (nextState(constB135, constB136)),
% 49.80/32.26 inference(modus_ponens,[status(thm)],[17111, 17110])).
% 49.80/32.26 tff(17113,plain,
% 49.80/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17114,plain,
% 49.80/32.26 (((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136)) <=> ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17115,plain,
% 49.80/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135))))),
% 49.80/32.26 inference(monotonicity,[status(thm)],[17114])).
% 49.80/32.26 tff(17116,plain,
% 49.80/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 49.80/32.26 inference(transitivity,[status(thm)],[17115, 17113])).
% 49.80/32.26 tff(17117,plain,
% 49.80/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))),
% 49.80/32.26 inference(quant_inst,[status(thm)],[])).
% 49.80/32.26 tff(17118,plain,
% 49.80/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135))),
% 49.80/32.26 inference(modus_ponens,[status(thm)],[17117, 17116])).
% 49.80/32.26 tff(17119,plain,
% 49.80/32.26 (v104(constB136) | (~v102(constB135))),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17118, 489, 17112])).
% 49.80/32.26 tff(17120,plain,
% 49.80/32.26 (v104(constB136)),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17119, 17109])).
% 49.80/32.26 tff(17121,plain,
% 49.80/32.26 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17122,plain,
% 49.80/32.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))),
% 49.80/32.26 inference(quant_inst,[status(thm)],[])).
% 49.80/32.26 tff(17123,plain,
% 49.80/32.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136))),
% 49.80/32.26 inference(modus_ponens,[status(thm)],[17122, 17121])).
% 49.80/32.26 tff(17124,plain,
% 49.80/32.26 (~v98(constB136)),
% 49.80/32.26 inference(unit_resolution,[status(thm)],[17123, 423, 17112, 16990])).
% 49.80/32.26 tff(17125,plain,
% 49.80/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))),
% 49.80/32.26 inference(rewrite,[status(thm)],[])).
% 49.80/32.26 tff(17126,plain,
% 49.80/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))),
% 49.80/32.27 inference(quant_inst,[status(thm)],[])).
% 49.80/32.27 tff(17127,plain,
% 49.80/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB135, constB136)) | v96(constB136) | v98(constB136)),
% 49.80/32.27 inference(modus_ponens,[status(thm)],[17126, 17125])).
% 49.80/32.27 tff(17128,plain,
% 49.80/32.27 (v96(constB136) | v98(constB136)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17127, 437, 17112])).
% 49.80/32.27 tff(17129,plain,
% 49.80/32.27 (v96(constB136)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17128, 17124])).
% 49.80/32.27 tff(17130,plain,
% 49.80/32.27 (v1(constB136) <=> v1(constB136)),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17131,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 49.80/32.27 tff(17132,plain,
% 49.80/32.27 (v1(constB136)),
% 49.80/32.27 inference(modus_ponens,[status(thm)],[17131, 17130])).
% 49.80/32.27 tff(17133,plain,
% 49.80/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17134,plain,
% 49.80/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))),
% 49.80/32.27 inference(quant_inst,[status(thm)],[])).
% 49.80/32.27 tff(17135,plain,
% 49.80/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136))),
% 49.80/32.27 inference(modus_ponens,[status(thm)],[17134, 17133])).
% 49.80/32.27 tff(17136,plain,
% 49.80/32.27 (v95(constB136) | (~v96(constB136))),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17135, 455, 17112, 17132])).
% 49.80/32.27 tff(17137,plain,
% 49.80/32.27 (v95(constB136)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17136, 17129])).
% 49.80/32.27 tff(17138,plain,
% 49.80/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17139,plain,
% 49.80/32.27 (((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136)) <=> ((~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17140,plain,
% 49.80/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136))))),
% 49.80/32.27 inference(monotonicity,[status(thm)],[17139])).
% 49.80/32.27 tff(17141,plain,
% 49.80/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))),
% 49.80/32.27 inference(transitivity,[status(thm)],[17140, 17138])).
% 49.80/32.27 tff(17142,plain,
% 49.80/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))),
% 49.80/32.27 inference(quant_inst,[status(thm)],[])).
% 49.80/32.27 tff(17143,plain,
% 49.80/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136))),
% 49.80/32.27 inference(modus_ponens,[status(thm)],[17142, 17141])).
% 49.80/32.27 tff(17144,plain,
% 49.80/32.27 (v94(constB136) | (~v95(constB136)) | (~v104(constB136))),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17143, 470, 17112])).
% 49.80/32.27 tff(17145,plain,
% 49.80/32.27 (v94(constB136) | (~v104(constB136))),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17144, 17137])).
% 49.80/32.27 tff(17146,plain,
% 49.80/32.27 (v94(constB136)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17145, 17120])).
% 49.80/32.27 tff(17147,plain,
% 49.80/32.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB135)) | (~v84(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB135)) | (~v84(constB135, bitIndex2)))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17148,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB135)) | (~v84(constB135, bitIndex2)))),
% 49.80/32.27 inference(quant_inst,[status(thm)],[])).
% 49.80/32.27 tff(17149,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB135)) | (~v84(constB135, bitIndex2))),
% 49.80/32.27 inference(modus_ponens,[status(thm)],[17148, 17147])).
% 49.80/32.27 tff(17150,plain,
% 49.80/32.27 (~v115(constB135)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17149, 1036, 17014])).
% 49.80/32.27 tff(17151,plain,
% 49.80/32.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB135)) | (~v84(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB135)) | (~v84(constB135, bitIndex2)))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17152,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB135)) | (~v84(constB135, bitIndex2)))),
% 49.80/32.27 inference(quant_inst,[status(thm)],[])).
% 49.80/32.27 tff(17153,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB135)) | (~v84(constB135, bitIndex2))),
% 49.80/32.27 inference(modus_ponens,[status(thm)],[17152, 17151])).
% 49.80/32.27 tff(17154,plain,
% 49.80/32.27 (~v116(constB135)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17153, 1047, 17014])).
% 49.80/32.27 tff(17155,plain,
% 49.80/32.27 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB135)) | (~v84(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB135)) | (~v84(constB135, bitIndex1)))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17156,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB135)) | (~v84(constB135, bitIndex1)))),
% 49.80/32.27 inference(quant_inst,[status(thm)],[])).
% 49.80/32.27 tff(17157,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB135)) | (~v84(constB135, bitIndex1))),
% 49.80/32.27 inference(modus_ponens,[status(thm)],[17156, 17155])).
% 49.80/32.27 tff(17158,plain,
% 49.80/32.27 (~v113(constB135)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17157, 1058, 17045])).
% 49.80/32.27 tff(17159,plain,
% 49.80/32.27 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB135)) | (~v84(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB135)) | (~v84(constB135, bitIndex1)))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17160,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB135)) | (~v84(constB135, bitIndex1)))),
% 49.80/32.27 inference(quant_inst,[status(thm)],[])).
% 49.80/32.27 tff(17161,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB135)) | (~v84(constB135, bitIndex1))),
% 49.80/32.27 inference(modus_ponens,[status(thm)],[17160, 17159])).
% 49.80/32.27 tff(17162,plain,
% 49.80/32.27 (~v118(constB135)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17161, 1069, 17045])).
% 49.80/32.27 tff(17163,plain,
% 49.80/32.27 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB135)) | (~v84(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB135)) | (~v84(constB135, bitIndex1)))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17164,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB135)) | (~v84(constB135, bitIndex1)))),
% 49.80/32.27 inference(quant_inst,[status(thm)],[])).
% 49.80/32.27 tff(17165,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB135)) | (~v84(constB135, bitIndex1))),
% 49.80/32.27 inference(modus_ponens,[status(thm)],[17164, 17163])).
% 49.80/32.27 tff(17166,plain,
% 49.80/32.27 (~v172(constB135)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17165, 1080, 17045])).
% 49.80/32.27 tff(17167,plain,
% 49.80/32.27 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB135)) | (~v84(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB135)) | (~v84(constB135, bitIndex1)))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17168,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB135)) | (~v84(constB135, bitIndex1)))),
% 49.80/32.27 inference(quant_inst,[status(thm)],[])).
% 49.80/32.27 tff(17169,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB135)) | (~v84(constB135, bitIndex1))),
% 49.80/32.27 inference(modus_ponens,[status(thm)],[17168, 17167])).
% 49.80/32.27 tff(17170,plain,
% 49.80/32.27 (~v145(constB135)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17169, 1091, 17045])).
% 49.80/32.27 tff(17171,plain,
% 49.80/32.27 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB135, bitIndex2)) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB135, bitIndex2)) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17172,plain,
% 49.80/32.27 ((v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex2))) <=> ((~v124(constB135, bitIndex2)) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17173,plain,
% 49.80/32.27 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB135, bitIndex2)) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135)))),
% 49.80/32.27 inference(monotonicity,[status(thm)],[17172])).
% 49.80/32.27 tff(17174,plain,
% 49.80/32.27 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB135, bitIndex2)) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135))),
% 49.80/32.27 inference(transitivity,[status(thm)],[17173, 17171])).
% 49.80/32.27 tff(17175,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex2)))),
% 49.80/32.27 inference(quant_inst,[status(thm)],[])).
% 49.80/32.27 tff(17176,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB135, bitIndex2)) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135)),
% 49.80/32.27 inference(modus_ponens,[status(thm)],[17175, 17174])).
% 49.80/32.27 tff(17177,plain,
% 49.80/32.27 (~v124(constB135, bitIndex2)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17176, 1170, 17170, 17166, 17162, 17158, 17154, 17150])).
% 49.80/32.27 tff(17178,plain,
% 49.80/32.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17179,plain,
% 49.80/32.27 ((v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2))) <=> ((~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17180,plain,
% 49.80/32.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2)))),
% 49.80/32.27 inference(monotonicity,[status(thm)],[17179])).
% 49.80/32.27 tff(17181,plain,
% 49.80/32.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))),
% 49.80/32.27 inference(transitivity,[status(thm)],[17180, 17178])).
% 49.80/32.27 tff(17182,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2)))),
% 49.80/32.27 inference(quant_inst,[status(thm)],[])).
% 49.80/32.27 tff(17183,plain,
% 49.80/32.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2)),
% 49.80/32.27 inference(modus_ponens,[status(thm)],[17182, 17181])).
% 49.80/32.27 tff(17184,plain,
% 49.80/32.27 ((~v121(constB135, bitIndex2)) | v124(constB135, bitIndex2)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17183, 1187, 17094])).
% 49.80/32.27 tff(17185,plain,
% 49.80/32.27 (~v121(constB135, bitIndex2)),
% 49.80/32.27 inference(unit_resolution,[status(thm)],[17184, 17177])).
% 49.80/32.27 tff(17186,plain,
% 49.80/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2)))),
% 49.80/32.27 inference(rewrite,[status(thm)],[])).
% 49.80/32.27 tff(17187,plain,
% 49.80/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2)))),
% 49.80/32.28 inference(quant_inst,[status(thm)],[])).
% 49.80/32.28 tff(17188,plain,
% 49.80/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2))),
% 49.80/32.28 inference(modus_ponens,[status(thm)],[17187, 17186])).
% 49.80/32.28 tff(17189,plain,
% 49.80/32.28 (v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2))),
% 49.80/32.28 inference(unit_resolution,[status(thm)],[17188, 1205, 17112])).
% 49.80/32.28 tff(17190,plain,
% 49.80/32.28 (~v123(constB136, bitIndex2)),
% 49.80/32.28 inference(unit_resolution,[status(thm)],[17189, 17185])).
% 49.80/32.28 tff(17191,plain,
% 49.80/32.28 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))),
% 49.80/32.28 inference(rewrite,[status(thm)],[])).
% 49.80/32.28 tff(17192,plain,
% 49.80/32.28 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))),
% 49.80/32.28 inference(quant_inst,[status(thm)],[])).
% 49.80/32.28 tff(17193,plain,
% 49.80/32.28 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136))),
% 49.80/32.28 inference(modus_ponens,[status(thm)],[17192, 17191])).
% 49.80/32.28 tff(17194,plain,
% 49.80/32.28 ((~v84(constB136, bitIndex2)) | (~v94(constB136))),
% 49.80/32.28 inference(unit_resolution,[status(thm)],[17193, 1220, 17190])).
% 49.80/32.28 tff(17195,plain,
% 49.80/32.28 (~v84(constB136, bitIndex2)),
% 49.80/32.28 inference(unit_resolution,[status(thm)],[17194, 17146])).
% 49.80/32.28 tff(17196,plain,
% 49.80/32.28 ((~v1(constB137)) <=> (~v1(constB137))),
% 49.80/32.28 inference(rewrite,[status(thm)],[])).
% 49.80/32.28 tff(17197,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 49.80/32.28 tff(17198,plain,
% 49.80/32.28 (~v1(constB137)),
% 49.80/32.28 inference(modus_ponens,[status(thm)],[17197, 17196])).
% 49.80/32.28 tff(17199,plain,
% 49.80/32.28 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 49.80/32.28 inference(rewrite,[status(thm)],[])).
% 49.80/32.28 tff(17200,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 49.80/32.28 tff(17201,plain,
% 49.80/32.28 (nextState(constB136, constB137)),
% 49.80/32.28 inference(modus_ponens,[status(thm)],[17200, 17199])).
% 49.80/32.28 tff(17202,plain,
% 49.80/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 49.80/32.28 inference(rewrite,[status(thm)],[])).
% 49.80/32.28 tff(17203,plain,
% 49.80/32.28 (((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 49.80/32.28 inference(rewrite,[status(thm)],[])).
% 49.80/32.28 tff(17204,plain,
% 49.80/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137))))),
% 49.80/32.28 inference(monotonicity,[status(thm)],[17203])).
% 49.80/32.28 tff(17205,plain,
% 49.80/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 49.80/32.28 inference(transitivity,[status(thm)],[17204, 17202])).
% 49.80/32.28 tff(17206,plain,
% 49.80/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))),
% 49.80/32.28 inference(quant_inst,[status(thm)],[])).
% 49.80/32.28 tff(17207,plain,
% 49.80/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137))),
% 49.80/32.28 inference(modus_ponens,[status(thm)],[17206, 17205])).
% 49.80/32.28 tff(17208,plain,
% 49.80/32.28 (~v95(constB137)),
% 49.80/32.28 inference(unit_resolution,[status(thm)],[17207, 110, 17201, 17198])).
% 49.80/32.28 tff(17209,plain,
% 49.80/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))),
% 49.80/32.28 inference(rewrite,[status(thm)],[])).
% 49.80/32.28 tff(17210,plain,
% 49.80/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))),
% 49.80/32.28 inference(quant_inst,[status(thm)],[])).
% 49.80/32.28 tff(17211,plain,
% 49.80/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137))),
% 49.80/32.28 inference(modus_ponens,[status(thm)],[17210, 17209])).
% 49.80/32.28 tff(17212,plain,
% 49.80/32.28 (v95(constB137) | (~v94(constB137))),
% 49.80/32.28 inference(unit_resolution,[status(thm)],[17211, 127, 17201])).
% 49.80/32.28 tff(17213,plain,
% 49.80/32.28 (~v94(constB137)),
% 49.80/32.28 inference(unit_resolution,[status(thm)],[17212, 17208])).
% 49.80/32.28 tff(17214,plain,
% 49.80/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 49.80/32.28 inference(rewrite,[status(thm)],[])).
% 49.80/32.28 tff(17215,plain,
% 49.80/32.28 (((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2))) <=> (v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 49.80/32.28 inference(rewrite,[status(thm)],[])).
% 49.80/32.28 tff(17216,plain,
% 49.80/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2))))),
% 49.80/32.28 inference(monotonicity,[status(thm)],[17215])).
% 49.80/32.28 tff(17217,plain,
% 49.80/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 49.80/32.28 inference(transitivity,[status(thm)],[17216, 17214])).
% 49.80/32.28 tff(17218,plain,
% 49.80/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 49.80/32.28 inference(quant_inst,[status(thm)],[])).
% 49.80/32.28 tff(17219,plain,
% 49.80/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2))),
% 49.80/32.28 inference(modus_ponens,[status(thm)],[17218, 17217])).
% 49.80/32.28 tff(17220,plain,
% 49.80/32.28 (v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2))),
% 49.80/32.28 inference(unit_resolution,[status(thm)],[17219, 142, 17201])).
% 49.80/32.28 tff(17221,plain,
% 49.80/32.28 (v84(constB136, bitIndex2) | (~v84(constB137, bitIndex2))),
% 49.80/32.28 inference(unit_resolution,[status(thm)],[17220, 17213])).
% 49.80/32.28 tff(17222,plain,
% 49.80/32.28 (~v84(constB137, bitIndex2)),
% 49.80/32.28 inference(unit_resolution,[status(thm)],[17221, 17195])).
% 49.80/32.28 tff(17223,plain,
% 49.80/32.28 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB135, bitIndex1)) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB135, bitIndex1)) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135))),
% 49.80/32.28 inference(rewrite,[status(thm)],[])).
% 49.80/32.28 tff(17224,plain,
% 49.80/32.28 ((v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex1))) <=> ((~v124(constB135, bitIndex1)) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135))),
% 49.80/32.28 inference(rewrite,[status(thm)],[])).
% 49.80/32.28 tff(17225,plain,
% 49.80/32.28 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB135, bitIndex1)) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135)))),
% 49.80/32.28 inference(monotonicity,[status(thm)],[17224])).
% 49.80/32.28 tff(17226,plain,
% 49.80/32.28 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB135, bitIndex1)) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135))),
% 49.80/32.28 inference(transitivity,[status(thm)],[17225, 17223])).
% 49.80/32.28 tff(17227,plain,
% 49.80/32.28 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex1)))),
% 49.80/32.28 inference(quant_inst,[status(thm)],[])).
% 49.80/32.28 tff(17228,plain,
% 49.80/32.28 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB135, bitIndex1)) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135)),
% 49.80/32.29 inference(modus_ponens,[status(thm)],[17227, 17226])).
% 49.80/32.29 tff(17229,plain,
% 49.80/32.29 (~v124(constB135, bitIndex1)),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17228, 1105, 17170, 17166, 17162, 17158, 17154, 17150])).
% 49.80/32.29 tff(17230,plain,
% 49.80/32.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB135, bitIndex1)) | v26(constB135) | v124(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB135, bitIndex1)) | v26(constB135) | v124(constB135, bitIndex1))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17231,plain,
% 49.80/32.29 ((v26(constB135) | v124(constB135, bitIndex1) | (~v121(constB135, bitIndex1))) <=> ((~v121(constB135, bitIndex1)) | v26(constB135) | v124(constB135, bitIndex1))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17232,plain,
% 49.80/32.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB135) | v124(constB135, bitIndex1) | (~v121(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB135, bitIndex1)) | v26(constB135) | v124(constB135, bitIndex1)))),
% 49.80/32.29 inference(monotonicity,[status(thm)],[17231])).
% 49.80/32.29 tff(17233,plain,
% 49.80/32.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB135) | v124(constB135, bitIndex1) | (~v121(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB135, bitIndex1)) | v26(constB135) | v124(constB135, bitIndex1))),
% 49.80/32.29 inference(transitivity,[status(thm)],[17232, 17230])).
% 49.80/32.29 tff(17234,plain,
% 49.80/32.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB135) | v124(constB135, bitIndex1) | (~v121(constB135, bitIndex1)))),
% 49.80/32.29 inference(quant_inst,[status(thm)],[])).
% 49.80/32.29 tff(17235,plain,
% 49.80/32.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB135, bitIndex1)) | v26(constB135) | v124(constB135, bitIndex1)),
% 49.80/32.29 inference(modus_ponens,[status(thm)],[17234, 17233])).
% 49.80/32.29 tff(17236,plain,
% 49.80/32.29 ((~v121(constB135, bitIndex1)) | v124(constB135, bitIndex1)),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17235, 233, 17094])).
% 49.80/32.29 tff(17237,plain,
% 49.80/32.29 (~v121(constB135, bitIndex1)),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17236, 17229])).
% 49.80/32.29 tff(17238,plain,
% 49.80/32.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex1) | (~v123(constB136, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex1) | (~v123(constB136, bitIndex1)))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17239,plain,
% 49.80/32.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex1) | (~v123(constB136, bitIndex1)))),
% 49.80/32.29 inference(quant_inst,[status(thm)],[])).
% 49.80/32.29 tff(17240,plain,
% 49.80/32.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex1) | (~v123(constB136, bitIndex1))),
% 49.80/32.29 inference(modus_ponens,[status(thm)],[17239, 17238])).
% 49.80/32.29 tff(17241,plain,
% 49.80/32.29 (v121(constB135, bitIndex1) | (~v123(constB136, bitIndex1))),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17240, 254, 17112])).
% 49.80/32.29 tff(17242,plain,
% 49.80/32.29 (~v123(constB136, bitIndex1)),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17241, 17237])).
% 49.80/32.29 tff(17243,plain,
% 49.80/32.29 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | v123(constB136, bitIndex1) | (~v94(constB136)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB136, bitIndex1)) | v123(constB136, bitIndex1) | (~v94(constB136)))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17244,plain,
% 49.80/32.29 (((~v84(constB136, bitIndex1)) | (~v94(constB136)) | v123(constB136, bitIndex1)) <=> ((~v84(constB136, bitIndex1)) | v123(constB136, bitIndex1) | (~v94(constB136)))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17245,plain,
% 49.80/32.29 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | (~v94(constB136)) | v123(constB136, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | v123(constB136, bitIndex1) | (~v94(constB136))))),
% 49.80/32.29 inference(monotonicity,[status(thm)],[17244])).
% 49.80/32.29 tff(17246,plain,
% 49.80/32.29 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | (~v94(constB136)) | v123(constB136, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB136, bitIndex1)) | v123(constB136, bitIndex1) | (~v94(constB136)))),
% 49.80/32.29 inference(transitivity,[status(thm)],[17245, 17243])).
% 49.80/32.29 tff(17247,plain,
% 49.80/32.29 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | (~v94(constB136)) | v123(constB136, bitIndex1))),
% 49.80/32.29 inference(quant_inst,[status(thm)],[])).
% 49.80/32.29 tff(17248,plain,
% 49.80/32.29 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB136, bitIndex1)) | v123(constB136, bitIndex1) | (~v94(constB136))),
% 49.80/32.29 inference(modus_ponens,[status(thm)],[17247, 17246])).
% 49.80/32.29 tff(17249,plain,
% 49.80/32.29 ((~v84(constB136, bitIndex1)) | (~v94(constB136))),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17248, 532, 17242])).
% 49.80/32.29 tff(17250,plain,
% 49.80/32.29 (~v84(constB136, bitIndex1)),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17249, 17146])).
% 49.80/32.29 tff(17251,plain,
% 49.80/32.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex1)))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17252,plain,
% 49.80/32.29 (((~nextState(constB136, constB137)) | v84(constB136, bitIndex1) | v94(constB137) | (~v84(constB137, bitIndex1))) <=> (v84(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex1)))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17253,plain,
% 49.80/32.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex1) | v94(constB137) | (~v84(constB137, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex1))))),
% 49.80/32.29 inference(monotonicity,[status(thm)],[17252])).
% 49.80/32.29 tff(17254,plain,
% 49.80/32.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex1) | v94(constB137) | (~v84(constB137, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex1)))),
% 49.80/32.29 inference(transitivity,[status(thm)],[17253, 17251])).
% 49.80/32.29 tff(17255,plain,
% 49.80/32.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex1) | v94(constB137) | (~v84(constB137, bitIndex1)))),
% 49.80/32.29 inference(quant_inst,[status(thm)],[])).
% 49.80/32.29 tff(17256,plain,
% 49.80/32.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex1))),
% 49.80/32.29 inference(modus_ponens,[status(thm)],[17255, 17254])).
% 49.80/32.29 tff(17257,plain,
% 49.80/32.29 (v84(constB136, bitIndex1) | v94(constB137) | (~v84(constB137, bitIndex1))),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17256, 163, 17201])).
% 49.80/32.29 tff(17258,plain,
% 49.80/32.29 (v84(constB136, bitIndex1) | (~v84(constB137, bitIndex1))),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17257, 17213])).
% 49.80/32.29 tff(17259,plain,
% 49.80/32.29 (~v84(constB137, bitIndex1)),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17258, 17250])).
% 49.80/32.29 tff(17260,plain,
% 49.80/32.29 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB135, bitIndex0) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB135, bitIndex0) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17261,plain,
% 49.80/32.29 ((v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | v124(constB135, bitIndex0)) <=> (v124(constB135, bitIndex0) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17262,plain,
% 49.80/32.29 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | v124(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB135, bitIndex0) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135)))),
% 49.80/32.29 inference(monotonicity,[status(thm)],[17261])).
% 49.80/32.29 tff(17263,plain,
% 49.80/32.29 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | v124(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB135, bitIndex0) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135))),
% 49.80/32.29 inference(transitivity,[status(thm)],[17262, 17260])).
% 49.80/32.29 tff(17264,plain,
% 49.80/32.29 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | v124(constB135, bitIndex0))),
% 49.80/32.29 inference(quant_inst,[status(thm)],[])).
% 49.80/32.29 tff(17265,plain,
% 49.80/32.29 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB135, bitIndex0) | v145(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | v118(constB135)),
% 49.80/32.29 inference(modus_ponens,[status(thm)],[17264, 17263])).
% 49.80/32.29 tff(17266,plain,
% 49.80/32.29 (v124(constB135, bitIndex0)),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17265, 1374, 17170, 17166, 17162, 17158, 17154, 17150])).
% 49.80/32.29 tff(17267,plain,
% 49.80/32.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB135) | (~v124(constB135, bitIndex0)) | v121(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB135) | (~v124(constB135, bitIndex0)) | v121(constB135, bitIndex0))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17268,plain,
% 49.80/32.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB135) | (~v124(constB135, bitIndex0)) | v121(constB135, bitIndex0))),
% 49.80/32.29 inference(quant_inst,[status(thm)],[])).
% 49.80/32.29 tff(17269,plain,
% 49.80/32.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB135) | (~v124(constB135, bitIndex0)) | v121(constB135, bitIndex0)),
% 49.80/32.29 inference(modus_ponens,[status(thm)],[17268, 17267])).
% 49.80/32.29 tff(17270,plain,
% 49.80/32.29 ((~v124(constB135, bitIndex0)) | v121(constB135, bitIndex0)),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17269, 1391, 17094])).
% 49.80/32.29 tff(17271,plain,
% 49.80/32.29 (v121(constB135, bitIndex0)),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17270, 17266])).
% 49.80/32.29 tff(17272,plain,
% 49.80/32.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v121(constB135, bitIndex0)) | v123(constB136, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v121(constB135, bitIndex0)) | v123(constB136, bitIndex0))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17273,plain,
% 49.80/32.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v121(constB135, bitIndex0)) | v123(constB136, bitIndex0))),
% 49.80/32.29 inference(quant_inst,[status(thm)],[])).
% 49.80/32.29 tff(17274,plain,
% 49.80/32.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v121(constB135, bitIndex0)) | v123(constB136, bitIndex0)),
% 49.80/32.29 inference(modus_ponens,[status(thm)],[17273, 17272])).
% 49.80/32.29 tff(17275,plain,
% 49.80/32.29 ((~v121(constB135, bitIndex0)) | v123(constB136, bitIndex0)),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17274, 1406, 17112])).
% 49.80/32.29 tff(17276,plain,
% 49.80/32.29 (v123(constB136, bitIndex0)),
% 49.80/32.29 inference(unit_resolution,[status(thm)],[17275, 17271])).
% 49.80/32.29 tff(17277,plain,
% 49.80/32.29 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)) | (~v94(constB136)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)) | (~v94(constB136)))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17278,plain,
% 49.80/32.29 ((v84(constB136, bitIndex0) | (~v94(constB136)) | (~v123(constB136, bitIndex0))) <=> (v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)) | (~v94(constB136)))),
% 49.80/32.29 inference(rewrite,[status(thm)],[])).
% 49.80/32.29 tff(17279,plain,
% 49.80/32.29 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~v94(constB136)) | (~v123(constB136, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)) | (~v94(constB136))))),
% 49.80/32.30 inference(monotonicity,[status(thm)],[17278])).
% 49.80/32.30 tff(17280,plain,
% 49.80/32.30 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~v94(constB136)) | (~v123(constB136, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)) | (~v94(constB136)))),
% 49.80/32.30 inference(transitivity,[status(thm)],[17279, 17277])).
% 49.80/32.30 tff(17281,plain,
% 49.80/32.30 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~v94(constB136)) | (~v123(constB136, bitIndex0)))),
% 49.80/32.30 inference(quant_inst,[status(thm)],[])).
% 49.80/32.30 tff(17282,plain,
% 49.80/32.30 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)) | (~v94(constB136))),
% 49.80/32.30 inference(modus_ponens,[status(thm)],[17281, 17280])).
% 49.80/32.30 tff(17283,plain,
% 49.80/32.30 (v84(constB136, bitIndex0) | (~v94(constB136))),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17282, 1421, 17276])).
% 49.80/32.30 tff(17284,plain,
% 49.80/32.30 (v84(constB136, bitIndex0)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17283, 17146])).
% 49.80/32.30 tff(17285,plain,
% 49.80/32.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex0))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17286,plain,
% 49.80/32.30 (((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex0)) | v94(constB137) | v84(constB137, bitIndex0)) <=> ((~v84(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex0))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17287,plain,
% 49.80/32.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex0)) | v94(constB137) | v84(constB137, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex0)))),
% 49.80/32.30 inference(monotonicity,[status(thm)],[17286])).
% 49.80/32.30 tff(17288,plain,
% 49.80/32.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex0)) | v94(constB137) | v84(constB137, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex0))),
% 49.80/32.30 inference(transitivity,[status(thm)],[17287, 17285])).
% 49.80/32.30 tff(17289,plain,
% 49.80/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex0)) | v94(constB137) | v84(constB137, bitIndex0))),
% 49.80/32.30 inference(quant_inst,[status(thm)],[])).
% 49.80/32.30 tff(17290,plain,
% 49.80/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex0)),
% 49.80/32.30 inference(modus_ponens,[status(thm)],[17289, 17288])).
% 49.80/32.30 tff(17291,plain,
% 49.80/32.30 ((~v84(constB136, bitIndex0)) | v94(constB137) | v84(constB137, bitIndex0)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17290, 1439, 17201])).
% 49.80/32.30 tff(17292,plain,
% 49.80/32.30 ((~v84(constB136, bitIndex0)) | v84(constB137, bitIndex0)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17291, 17213])).
% 49.80/32.30 tff(17293,plain,
% 49.80/32.30 (v84(constB137, bitIndex0)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17292, 17284])).
% 49.80/32.30 tff(17294,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2) | v145(constB137))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2) | v145(constB137))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17295,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2) | v145(constB137))),
% 49.80/32.30 inference(quant_inst,[status(thm)],[])).
% 49.80/32.30 tff(17296,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2) | v145(constB137)),
% 49.80/32.30 inference(modus_ponens,[status(thm)],[17295, 17294])).
% 49.80/32.30 tff(17297,plain,
% 49.80/32.30 (v145(constB137)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17296, 1268, 17293, 17259, 17222])).
% 49.80/32.30 tff(17298,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB137) | (~v145(constB137)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB137) | (~v145(constB137)))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17299,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB137) | (~v145(constB137)))),
% 49.80/32.30 inference(quant_inst,[status(thm)],[])).
% 49.80/32.30 tff(17300,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB137) | (~v145(constB137))),
% 49.80/32.30 inference(modus_ponens,[status(thm)],[17299, 17298])).
% 49.80/32.30 tff(17301,plain,
% 49.80/32.30 (v112(constB137)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17300, 1253, 17297])).
% 49.80/32.30 tff(17302,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB137)) | v111(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB137)) | v111(constB137))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17303,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB137)) | v111(constB137))),
% 49.80/32.30 inference(quant_inst,[status(thm)],[])).
% 49.80/32.30 tff(17304,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB137)) | v111(constB137)),
% 49.80/32.30 inference(modus_ponens,[status(thm)],[17303, 17302])).
% 49.80/32.30 tff(17305,plain,
% 49.80/32.30 (v111(constB137)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17304, 278, 17301])).
% 49.80/32.30 tff(17306,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB137) | (~v111(constB137)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB137) | (~v111(constB137)))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17307,plain,
% 49.80/32.30 (((~v111(constB137)) | v110(constB137)) <=> (v110(constB137) | (~v111(constB137)))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17308,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB137)) | v110(constB137))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB137) | (~v111(constB137))))),
% 49.80/32.30 inference(monotonicity,[status(thm)],[17307])).
% 49.80/32.30 tff(17309,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB137)) | v110(constB137))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB137) | (~v111(constB137)))),
% 49.80/32.30 inference(transitivity,[status(thm)],[17308, 17306])).
% 49.80/32.30 tff(17310,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB137)) | v110(constB137))),
% 49.80/32.30 inference(quant_inst,[status(thm)],[])).
% 49.80/32.30 tff(17311,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB137) | (~v111(constB137))),
% 49.80/32.30 inference(modus_ponens,[status(thm)],[17310, 17309])).
% 49.80/32.30 tff(17312,plain,
% 49.80/32.30 (v110(constB137)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17311, 292, 17305])).
% 49.80/32.30 tff(17313,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB137) | (~v110(constB137)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB137) | (~v110(constB137)))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17314,plain,
% 49.80/32.30 (((~v110(constB137)) | v109(constB137)) <=> (v109(constB137) | (~v110(constB137)))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17315,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB137)) | v109(constB137))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB137) | (~v110(constB137))))),
% 49.80/32.30 inference(monotonicity,[status(thm)],[17314])).
% 49.80/32.30 tff(17316,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB137)) | v109(constB137))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB137) | (~v110(constB137)))),
% 49.80/32.30 inference(transitivity,[status(thm)],[17315, 17313])).
% 49.80/32.30 tff(17317,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB137)) | v109(constB137))),
% 49.80/32.30 inference(quant_inst,[status(thm)],[])).
% 49.80/32.30 tff(17318,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB137) | (~v110(constB137))),
% 49.80/32.30 inference(modus_ponens,[status(thm)],[17317, 17316])).
% 49.80/32.30 tff(17319,plain,
% 49.80/32.30 (v109(constB137)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17318, 306, 17312])).
% 49.80/32.30 tff(17320,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB137)) | v108(constB137))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17321,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB137)) | v108(constB137))),
% 49.80/32.30 inference(quant_inst,[status(thm)],[])).
% 49.80/32.30 tff(17322,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB137)) | v108(constB137)),
% 49.80/32.30 inference(modus_ponens,[status(thm)],[17321, 17320])).
% 49.80/32.30 tff(17323,plain,
% 49.80/32.30 (v108(constB137)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17322, 320, 17319])).
% 49.80/32.30 tff(17324,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB137) | (~v108(constB137)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB137) | (~v108(constB137)))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17325,plain,
% 49.80/32.30 (((~v108(constB137)) | v107(constB137)) <=> (v107(constB137) | (~v108(constB137)))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17326,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB137)) | v107(constB137))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB137) | (~v108(constB137))))),
% 49.80/32.30 inference(monotonicity,[status(thm)],[17325])).
% 49.80/32.30 tff(17327,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB137)) | v107(constB137))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB137) | (~v108(constB137)))),
% 49.80/32.30 inference(transitivity,[status(thm)],[17326, 17324])).
% 49.80/32.30 tff(17328,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB137)) | v107(constB137))),
% 49.80/32.30 inference(quant_inst,[status(thm)],[])).
% 49.80/32.30 tff(17329,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB137) | (~v108(constB137))),
% 49.80/32.30 inference(modus_ponens,[status(thm)],[17328, 17327])).
% 49.80/32.30 tff(17330,plain,
% 49.80/32.30 (v107(constB137)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17329, 334, 17323])).
% 49.80/32.30 tff(17331,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | v106(constB137) | (~v107(constB137)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | v106(constB137) | (~v107(constB137)))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17332,plain,
% 49.80/32.30 ((v26(constB137) | (~v107(constB137)) | v106(constB137)) <=> (v26(constB137) | v106(constB137) | (~v107(constB137)))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17333,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | v106(constB137) | (~v107(constB137))))),
% 49.80/32.30 inference(monotonicity,[status(thm)],[17332])).
% 49.80/32.30 tff(17334,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | v106(constB137) | (~v107(constB137)))),
% 49.80/32.30 inference(transitivity,[status(thm)],[17333, 17331])).
% 49.80/32.30 tff(17335,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))),
% 49.80/32.30 inference(quant_inst,[status(thm)],[])).
% 49.80/32.30 tff(17336,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | v106(constB137) | (~v107(constB137))),
% 49.80/32.30 inference(modus_ponens,[status(thm)],[17335, 17334])).
% 49.80/32.30 tff(17337,plain,
% 49.80/32.30 (v26(constB137) | v106(constB137)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17336, 348, 17330])).
% 49.80/32.30 tff(17338,plain,
% 49.80/32.30 (v106(constB137)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17337, 13831])).
% 49.80/32.30 tff(17339,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB137) | (~v106(constB137)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB137) | (~v106(constB137)))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17340,plain,
% 49.80/32.30 (((~v106(constB137)) | v102(constB137)) <=> (v102(constB137) | (~v106(constB137)))),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17341,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB137)) | v102(constB137))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB137) | (~v106(constB137))))),
% 49.80/32.30 inference(monotonicity,[status(thm)],[17340])).
% 49.80/32.30 tff(17342,plain,
% 49.80/32.30 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB137)) | v102(constB137))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB137) | (~v106(constB137)))),
% 49.80/32.30 inference(transitivity,[status(thm)],[17341, 17339])).
% 49.80/32.30 tff(17343,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB137)) | v102(constB137))),
% 49.80/32.30 inference(quant_inst,[status(thm)],[])).
% 49.80/32.30 tff(17344,plain,
% 49.80/32.30 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB137) | (~v106(constB137))),
% 49.80/32.30 inference(modus_ponens,[status(thm)],[17343, 17342])).
% 49.80/32.30 tff(17345,plain,
% 49.80/32.30 (v102(constB137)),
% 49.80/32.30 inference(unit_resolution,[status(thm)],[17344, 504, 17338])).
% 49.80/32.30 tff(17346,plain,
% 49.80/32.30 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 49.80/32.30 inference(rewrite,[status(thm)],[])).
% 49.80/32.30 tff(17347,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 49.80/32.31 tff(17348,plain,
% 49.80/32.31 (nextState(constB137, constB138)),
% 49.80/32.31 inference(modus_ponens,[status(thm)],[17347, 17346])).
% 49.80/32.31 tff(17349,plain,
% 49.80/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17350,plain,
% 49.80/32.31 (((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138)) <=> ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17351,plain,
% 49.80/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137))))),
% 49.80/32.31 inference(monotonicity,[status(thm)],[17350])).
% 49.80/32.31 tff(17352,plain,
% 49.80/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 49.80/32.31 inference(transitivity,[status(thm)],[17351, 17349])).
% 49.80/32.31 tff(17353,plain,
% 49.80/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))),
% 49.80/32.31 inference(quant_inst,[status(thm)],[])).
% 49.80/32.31 tff(17354,plain,
% 49.80/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137))),
% 49.80/32.31 inference(modus_ponens,[status(thm)],[17353, 17352])).
% 49.80/32.31 tff(17355,plain,
% 49.80/32.31 (v104(constB138) | (~v102(constB137))),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17354, 489, 17348])).
% 49.80/32.31 tff(17356,plain,
% 49.80/32.31 (v104(constB138)),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17355, 17345])).
% 49.80/32.31 tff(17357,plain,
% 49.80/32.31 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17358,plain,
% 49.80/32.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))),
% 49.80/32.31 inference(quant_inst,[status(thm)],[])).
% 49.80/32.31 tff(17359,plain,
% 49.80/32.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138))),
% 49.80/32.31 inference(modus_ponens,[status(thm)],[17358, 17357])).
% 49.80/32.31 tff(17360,plain,
% 49.80/32.31 (~v98(constB138)),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17359, 423, 17348, 17198])).
% 49.80/32.31 tff(17361,plain,
% 49.80/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17362,plain,
% 49.80/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))),
% 49.80/32.31 inference(quant_inst,[status(thm)],[])).
% 49.80/32.31 tff(17363,plain,
% 49.80/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB137, constB138)) | v96(constB138) | v98(constB138)),
% 49.80/32.31 inference(modus_ponens,[status(thm)],[17362, 17361])).
% 49.80/32.31 tff(17364,plain,
% 49.80/32.31 (v96(constB138) | v98(constB138)),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17363, 437, 17348])).
% 49.80/32.31 tff(17365,plain,
% 49.80/32.31 (v96(constB138)),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17364, 17360])).
% 49.80/32.31 tff(17366,plain,
% 49.80/32.31 (v1(constB138) <=> v1(constB138)),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17367,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 49.80/32.31 tff(17368,plain,
% 49.80/32.31 (v1(constB138)),
% 49.80/32.31 inference(modus_ponens,[status(thm)],[17367, 17366])).
% 49.80/32.31 tff(17369,plain,
% 49.80/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17370,plain,
% 49.80/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))),
% 49.80/32.31 inference(quant_inst,[status(thm)],[])).
% 49.80/32.31 tff(17371,plain,
% 49.80/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138))),
% 49.80/32.31 inference(modus_ponens,[status(thm)],[17370, 17369])).
% 49.80/32.31 tff(17372,plain,
% 49.80/32.31 (v95(constB138) | (~v96(constB138))),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17371, 455, 17348, 17368])).
% 49.80/32.31 tff(17373,plain,
% 49.80/32.31 (v95(constB138)),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17372, 17365])).
% 49.80/32.31 tff(17374,plain,
% 49.80/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17375,plain,
% 49.80/32.31 (((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138)) <=> ((~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17376,plain,
% 49.80/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138))))),
% 49.80/32.31 inference(monotonicity,[status(thm)],[17375])).
% 49.80/32.31 tff(17377,plain,
% 49.80/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))),
% 49.80/32.31 inference(transitivity,[status(thm)],[17376, 17374])).
% 49.80/32.31 tff(17378,plain,
% 49.80/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))),
% 49.80/32.31 inference(quant_inst,[status(thm)],[])).
% 49.80/32.31 tff(17379,plain,
% 49.80/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138))),
% 49.80/32.31 inference(modus_ponens,[status(thm)],[17378, 17377])).
% 49.80/32.31 tff(17380,plain,
% 49.80/32.31 (v94(constB138) | (~v95(constB138)) | (~v104(constB138))),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17379, 470, 17348])).
% 49.80/32.31 tff(17381,plain,
% 49.80/32.31 (v94(constB138) | (~v104(constB138))),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17380, 17373])).
% 49.80/32.31 tff(17382,plain,
% 49.80/32.31 (v94(constB138)),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17381, 17356])).
% 49.80/32.31 tff(17383,plain,
% 49.80/32.31 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB137)) | (~v124(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB137)) | (~v124(constB137, bitIndex2)))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17384,plain,
% 49.80/32.31 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB137)) | (~v124(constB137, bitIndex2)))),
% 49.80/32.31 inference(quant_inst,[status(thm)],[])).
% 49.80/32.31 tff(17385,plain,
% 49.80/32.31 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB137)) | (~v124(constB137, bitIndex2))),
% 49.80/32.31 inference(modus_ponens,[status(thm)],[17384, 17383])).
% 49.80/32.31 tff(17386,plain,
% 49.80/32.31 (~v124(constB137, bitIndex2)),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17385, 1456, 17297])).
% 49.80/32.31 tff(17387,assumption,(v121(constB137, bitIndex2)), introduced(assumption)).
% 49.80/32.31 tff(17388,assumption,(~v124(constB137, bitIndex2)), introduced(assumption)).
% 49.80/32.31 tff(17389,plain,
% 49.80/32.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17390,plain,
% 49.80/32.31 ((v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2))) <=> ((~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17391,plain,
% 49.80/32.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2)))),
% 49.80/32.31 inference(monotonicity,[status(thm)],[17390])).
% 49.80/32.31 tff(17392,plain,
% 49.80/32.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))),
% 49.80/32.31 inference(transitivity,[status(thm)],[17391, 17389])).
% 49.80/32.31 tff(17393,plain,
% 49.80/32.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))),
% 49.80/32.31 inference(quant_inst,[status(thm)],[])).
% 49.80/32.31 tff(17394,plain,
% 49.80/32.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2)),
% 49.80/32.31 inference(modus_ponens,[status(thm)],[17393, 17392])).
% 49.80/32.31 tff(17395,plain,
% 49.80/32.31 ((~v121(constB137, bitIndex2)) | v26(constB137)),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17394, 1187, 17388])).
% 49.80/32.31 tff(17396,plain,
% 49.80/32.31 (v26(constB137)),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17395, 17387])).
% 49.80/32.31 tff(17397,plain,
% 49.80/32.31 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB137)) | (~v121(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB137)) | (~v121(constB137, bitIndex2)))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17398,plain,
% 49.80/32.31 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB137)) | (~v121(constB137, bitIndex2)))),
% 49.80/32.31 inference(quant_inst,[status(thm)],[])).
% 49.80/32.31 tff(17399,plain,
% 49.80/32.31 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB137)) | (~v121(constB137, bitIndex2))),
% 49.80/32.31 inference(modus_ponens,[status(thm)],[17398, 17397])).
% 49.80/32.31 tff(17400,plain,
% 49.80/32.31 ($false),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17399, 2349, 17387, 17396])).
% 49.80/32.31 tff(17401,plain,((~v121(constB137, bitIndex2)) | v124(constB137, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.80/32.31 tff(17402,plain,
% 49.80/32.31 (~v121(constB137, bitIndex2)),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17401, 17386])).
% 49.80/32.31 tff(17403,plain,
% 49.80/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2)))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17404,plain,
% 49.80/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2)))),
% 49.80/32.31 inference(quant_inst,[status(thm)],[])).
% 49.80/32.31 tff(17405,plain,
% 49.80/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2))),
% 49.80/32.31 inference(modus_ponens,[status(thm)],[17404, 17403])).
% 49.80/32.31 tff(17406,plain,
% 49.80/32.31 (v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2))),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17405, 1205, 17348])).
% 49.80/32.31 tff(17407,plain,
% 49.80/32.31 (~v123(constB138, bitIndex2)),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17406, 17402])).
% 49.80/32.31 tff(17408,plain,
% 49.80/32.31 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))),
% 49.80/32.31 inference(rewrite,[status(thm)],[])).
% 49.80/32.31 tff(17409,plain,
% 49.80/32.31 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))),
% 49.80/32.31 inference(quant_inst,[status(thm)],[])).
% 49.80/32.31 tff(17410,plain,
% 49.80/32.31 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138))),
% 49.80/32.31 inference(modus_ponens,[status(thm)],[17409, 17408])).
% 49.80/32.31 tff(17411,plain,
% 49.80/32.31 ((~v84(constB138, bitIndex2)) | (~v94(constB138))),
% 49.80/32.31 inference(unit_resolution,[status(thm)],[17410, 1220, 17407])).
% 49.80/32.32 tff(17412,plain,
% 49.80/32.32 (~v84(constB138, bitIndex2)),
% 49.80/32.32 inference(unit_resolution,[status(thm)],[17411, 17382])).
% 49.80/32.32 tff(17413,plain,
% 49.80/32.32 ((~v1(constB139)) <=> (~v1(constB139))),
% 49.80/32.32 inference(rewrite,[status(thm)],[])).
% 49.80/32.32 tff(17414,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 49.80/32.32 tff(17415,plain,
% 49.80/32.32 (~v1(constB139)),
% 49.80/32.32 inference(modus_ponens,[status(thm)],[17414, 17413])).
% 49.80/32.32 tff(17416,plain,
% 49.80/32.32 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 49.80/32.32 inference(rewrite,[status(thm)],[])).
% 49.80/32.32 tff(17417,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 49.80/32.32 tff(17418,plain,
% 49.80/32.32 (nextState(constB138, constB139)),
% 49.80/32.32 inference(modus_ponens,[status(thm)],[17417, 17416])).
% 49.80/32.32 tff(17419,plain,
% 49.80/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 49.80/32.32 inference(rewrite,[status(thm)],[])).
% 49.80/32.32 tff(17420,plain,
% 49.80/32.32 (((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 49.80/32.32 inference(rewrite,[status(thm)],[])).
% 49.80/32.32 tff(17421,plain,
% 49.80/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139))))),
% 49.80/32.32 inference(monotonicity,[status(thm)],[17420])).
% 49.80/32.32 tff(17422,plain,
% 49.80/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 49.80/32.32 inference(transitivity,[status(thm)],[17421, 17419])).
% 49.80/32.32 tff(17423,plain,
% 49.80/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))),
% 49.80/32.32 inference(quant_inst,[status(thm)],[])).
% 49.80/32.32 tff(17424,plain,
% 49.80/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139))),
% 49.80/32.32 inference(modus_ponens,[status(thm)],[17423, 17422])).
% 49.80/32.32 tff(17425,plain,
% 49.80/32.32 (~v95(constB139)),
% 49.80/32.32 inference(unit_resolution,[status(thm)],[17424, 110, 17418, 17415])).
% 49.80/32.32 tff(17426,plain,
% 49.80/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))),
% 49.80/32.32 inference(rewrite,[status(thm)],[])).
% 49.80/32.32 tff(17427,plain,
% 49.80/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))),
% 49.80/32.32 inference(quant_inst,[status(thm)],[])).
% 49.80/32.32 tff(17428,plain,
% 49.80/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139))),
% 49.80/32.32 inference(modus_ponens,[status(thm)],[17427, 17426])).
% 49.80/32.32 tff(17429,plain,
% 49.80/32.32 (v95(constB139) | (~v94(constB139))),
% 49.80/32.32 inference(unit_resolution,[status(thm)],[17428, 127, 17418])).
% 49.80/32.32 tff(17430,plain,
% 49.80/32.32 (~v94(constB139)),
% 49.80/32.32 inference(unit_resolution,[status(thm)],[17429, 17425])).
% 49.80/32.32 tff(17431,plain,
% 49.80/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 49.80/32.32 inference(rewrite,[status(thm)],[])).
% 49.80/32.32 tff(17432,plain,
% 49.80/32.32 (((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2))) <=> (v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 49.80/32.32 inference(rewrite,[status(thm)],[])).
% 49.80/32.32 tff(17433,plain,
% 49.80/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2))))),
% 49.80/32.32 inference(monotonicity,[status(thm)],[17432])).
% 49.80/32.32 tff(17434,plain,
% 49.80/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 49.80/32.32 inference(transitivity,[status(thm)],[17433, 17431])).
% 49.80/32.32 tff(17435,plain,
% 49.80/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 49.80/32.32 inference(quant_inst,[status(thm)],[])).
% 49.80/32.32 tff(17436,plain,
% 49.80/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2))),
% 49.80/32.32 inference(modus_ponens,[status(thm)],[17435, 17434])).
% 49.80/32.32 tff(17437,plain,
% 49.80/32.32 (v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2))),
% 49.80/32.32 inference(unit_resolution,[status(thm)],[17436, 142, 17418])).
% 49.80/32.32 tff(17438,plain,
% 49.80/32.32 (v84(constB138, bitIndex2) | (~v84(constB139, bitIndex2))),
% 49.80/32.32 inference(unit_resolution,[status(thm)],[17437, 17430])).
% 49.80/32.32 tff(17439,plain,
% 49.80/32.32 (~v84(constB139, bitIndex2)),
% 49.80/32.32 inference(unit_resolution,[status(thm)],[17438, 17412])).
% 49.80/32.32 tff(17440,plain,
% 49.80/32.32 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB137)) | v124(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB137)) | v124(constB137, bitIndex1))),
% 49.80/32.32 inference(rewrite,[status(thm)],[])).
% 49.80/32.32 tff(17441,plain,
% 49.80/32.32 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB137)) | v124(constB137, bitIndex1))),
% 49.80/32.32 inference(quant_inst,[status(thm)],[])).
% 49.80/32.32 tff(17442,plain,
% 49.80/32.32 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB137)) | v124(constB137, bitIndex1)),
% 49.80/32.32 inference(modus_ponens,[status(thm)],[17441, 17440])).
% 49.80/32.32 tff(17443,plain,
% 49.80/32.32 (v124(constB137, bitIndex1)),
% 49.80/32.32 inference(unit_resolution,[status(thm)],[17442, 1512, 17297])).
% 49.80/32.32 tff(17444,plain,
% 49.80/32.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1))),
% 49.80/32.32 inference(rewrite,[status(thm)],[])).
% 49.80/32.32 tff(17445,plain,
% 49.80/32.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1))),
% 49.80/32.32 inference(quant_inst,[status(thm)],[])).
% 49.80/32.32 tff(17446,plain,
% 49.80/32.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1)),
% 49.80/32.32 inference(modus_ponens,[status(thm)],[17445, 17444])).
% 49.80/32.32 tff(17447,plain,
% 49.80/32.32 (v26(constB137) | v121(constB137, bitIndex1)),
% 49.80/32.32 inference(unit_resolution,[status(thm)],[17446, 857, 17443])).
% 49.80/32.32 tff(17448,plain,
% 49.80/32.32 (v121(constB137, bitIndex1)),
% 49.80/32.32 inference(unit_resolution,[status(thm)],[17447, 13831])).
% 49.80/32.32 tff(17449,plain,
% 49.80/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1))),
% 49.80/32.32 inference(rewrite,[status(thm)],[])).
% 49.80/32.32 tff(17450,plain,
% 49.80/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1))),
% 49.80/32.32 inference(quant_inst,[status(thm)],[])).
% 49.80/32.32 tff(17451,plain,
% 49.80/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1)),
% 49.80/32.32 inference(modus_ponens,[status(thm)],[17450, 17449])).
% 49.80/32.32 tff(17452,plain,
% 49.80/32.32 ((~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1)),
% 49.80/32.32 inference(unit_resolution,[status(thm)],[17451, 872, 17348])).
% 49.80/32.32 tff(17453,plain,
% 49.80/32.32 (v123(constB138, bitIndex1)),
% 49.80/32.32 inference(unit_resolution,[status(thm)],[17452, 17448])).
% 49.80/32.32 tff(17454,plain,
% 49.80/32.32 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))),
% 49.80/32.32 inference(rewrite,[status(thm)],[])).
% 49.80/32.32 tff(17455,plain,
% 49.80/32.32 ((v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1))) <=> (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))),
% 49.80/32.32 inference(rewrite,[status(thm)],[])).
% 49.80/32.32 tff(17456,plain,
% 49.80/32.32 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138))))),
% 49.80/32.32 inference(monotonicity,[status(thm)],[17455])).
% 49.80/32.32 tff(17457,plain,
% 49.80/32.32 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))),
% 49.80/32.33 inference(transitivity,[status(thm)],[17456, 17454])).
% 49.80/32.33 tff(17458,plain,
% 49.80/32.33 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1)))),
% 49.80/32.33 inference(quant_inst,[status(thm)],[])).
% 49.80/32.33 tff(17459,plain,
% 49.80/32.33 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138))),
% 49.80/32.33 inference(modus_ponens,[status(thm)],[17458, 17457])).
% 49.80/32.33 tff(17460,plain,
% 49.80/32.33 (v84(constB138, bitIndex1) | (~v94(constB138))),
% 49.80/32.33 inference(unit_resolution,[status(thm)],[17459, 887, 17453])).
% 49.80/32.33 tff(17461,plain,
% 49.80/32.33 (v84(constB138, bitIndex1)),
% 49.80/32.33 inference(unit_resolution,[status(thm)],[17460, 17382])).
% 49.80/32.33 tff(17462,plain,
% 49.80/32.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))),
% 49.80/32.33 inference(rewrite,[status(thm)],[])).
% 49.80/32.33 tff(17463,plain,
% 49.80/32.33 (((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1)) <=> ((~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))),
% 49.80/32.33 inference(rewrite,[status(thm)],[])).
% 49.80/32.33 tff(17464,plain,
% 49.80/32.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1)))),
% 49.80/32.33 inference(monotonicity,[status(thm)],[17463])).
% 49.80/32.33 tff(17465,plain,
% 49.80/32.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))),
% 49.80/32.33 inference(transitivity,[status(thm)],[17464, 17462])).
% 49.80/32.33 tff(17466,plain,
% 49.80/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1))),
% 49.80/32.33 inference(quant_inst,[status(thm)],[])).
% 49.80/32.33 tff(17467,plain,
% 49.80/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1)),
% 49.80/32.33 inference(modus_ponens,[status(thm)],[17466, 17465])).
% 49.80/32.33 tff(17468,plain,
% 49.80/32.33 ((~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1)),
% 49.80/32.33 inference(unit_resolution,[status(thm)],[17467, 905, 17418])).
% 49.80/32.33 tff(17469,plain,
% 49.80/32.33 ((~v84(constB138, bitIndex1)) | v84(constB139, bitIndex1)),
% 49.80/32.33 inference(unit_resolution,[status(thm)],[17468, 17430])).
% 49.80/32.33 tff(17470,plain,
% 49.80/32.33 (v84(constB139, bitIndex1)),
% 49.80/32.33 inference(unit_resolution,[status(thm)],[17469, 17461])).
% 49.80/32.33 tff(17471,plain,
% 49.80/32.33 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB137)) | (~v124(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB137)) | (~v124(constB137, bitIndex0)))),
% 49.80/32.33 inference(rewrite,[status(thm)],[])).
% 49.80/32.33 tff(17472,plain,
% 49.80/32.33 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB137)) | (~v124(constB137, bitIndex0)))),
% 49.80/32.33 inference(quant_inst,[status(thm)],[])).
% 49.80/32.33 tff(17473,plain,
% 49.80/32.33 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB137)) | (~v124(constB137, bitIndex0))),
% 49.80/32.33 inference(modus_ponens,[status(thm)],[17472, 17471])).
% 49.80/32.33 tff(17474,plain,
% 49.80/32.33 (~v124(constB137, bitIndex0)),
% 49.80/32.33 inference(unit_resolution,[status(thm)],[17473, 1550, 17297])).
% 49.80/32.33 tff(17475,plain,
% 49.80/32.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB137, bitIndex0)) | v26(constB137) | v124(constB137, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB137, bitIndex0)) | v26(constB137) | v124(constB137, bitIndex0))),
% 49.80/32.33 inference(rewrite,[status(thm)],[])).
% 49.80/32.33 tff(17476,plain,
% 49.80/32.33 ((v26(constB137) | v124(constB137, bitIndex0) | (~v121(constB137, bitIndex0))) <=> ((~v121(constB137, bitIndex0)) | v26(constB137) | v124(constB137, bitIndex0))),
% 49.80/32.33 inference(rewrite,[status(thm)],[])).
% 49.80/32.33 tff(17477,plain,
% 49.80/32.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB137) | v124(constB137, bitIndex0) | (~v121(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB137, bitIndex0)) | v26(constB137) | v124(constB137, bitIndex0)))),
% 49.80/32.33 inference(monotonicity,[status(thm)],[17476])).
% 49.80/32.33 tff(17478,plain,
% 49.80/32.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB137) | v124(constB137, bitIndex0) | (~v121(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB137, bitIndex0)) | v26(constB137) | v124(constB137, bitIndex0))),
% 49.80/32.33 inference(transitivity,[status(thm)],[17477, 17475])).
% 49.80/32.33 tff(17479,plain,
% 49.80/32.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB137) | v124(constB137, bitIndex0) | (~v121(constB137, bitIndex0)))),
% 49.80/32.33 inference(quant_inst,[status(thm)],[])).
% 49.80/32.33 tff(17480,plain,
% 49.80/32.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB137, bitIndex0)) | v26(constB137) | v124(constB137, bitIndex0)),
% 49.80/32.33 inference(modus_ponens,[status(thm)],[17479, 17478])).
% 49.80/32.33 tff(17481,plain,
% 49.80/32.33 ((~v121(constB137, bitIndex0)) | v26(constB137)),
% 49.80/32.33 inference(unit_resolution,[status(thm)],[17480, 607, 17474])).
% 49.80/32.33 tff(17482,plain,
% 49.80/32.33 (~v121(constB137, bitIndex0)),
% 49.80/32.33 inference(unit_resolution,[status(thm)],[17481, 13831])).
% 49.80/32.33 tff(17483,plain,
% 49.80/32.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0)))),
% 49.80/32.33 inference(rewrite,[status(thm)],[])).
% 49.80/32.33 tff(17484,plain,
% 49.80/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0)))),
% 49.80/32.33 inference(quant_inst,[status(thm)],[])).
% 49.80/32.33 tff(17485,plain,
% 49.80/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0))),
% 49.80/32.33 inference(modus_ponens,[status(thm)],[17484, 17483])).
% 49.80/32.33 tff(17486,plain,
% 49.80/32.33 (v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0))),
% 49.80/32.33 inference(unit_resolution,[status(thm)],[17485, 637, 17348])).
% 49.80/32.33 tff(17487,plain,
% 49.80/32.33 (~v123(constB138, bitIndex0)),
% 49.80/32.33 inference(unit_resolution,[status(thm)],[17486, 17482])).
% 49.80/32.33 tff(17488,plain,
% 49.80/32.33 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138)))),
% 49.80/32.33 inference(rewrite,[status(thm)],[])).
% 49.80/32.33 tff(17489,plain,
% 49.80/32.33 (((~v84(constB138, bitIndex0)) | (~v94(constB138)) | v123(constB138, bitIndex0)) <=> ((~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138)))),
% 49.80/32.33 inference(rewrite,[status(thm)],[])).
% 49.80/32.33 tff(17490,plain,
% 49.80/32.33 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~v94(constB138)) | v123(constB138, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138))))),
% 49.80/32.33 inference(monotonicity,[status(thm)],[17489])).
% 49.80/32.33 tff(17491,plain,
% 49.80/32.33 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~v94(constB138)) | v123(constB138, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138)))),
% 49.80/32.33 inference(transitivity,[status(thm)],[17490, 17488])).
% 49.80/32.33 tff(17492,plain,
% 49.80/32.33 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~v94(constB138)) | v123(constB138, bitIndex0))),
% 49.80/32.33 inference(quant_inst,[status(thm)],[])).
% 49.80/32.33 tff(17493,plain,
% 49.80/32.33 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138))),
% 49.80/32.33 inference(modus_ponens,[status(thm)],[17492, 17491])).
% 49.80/32.33 tff(17494,plain,
% 49.80/32.33 ((~v84(constB138, bitIndex0)) | (~v94(constB138))),
% 49.80/32.33 inference(unit_resolution,[status(thm)],[17493, 652, 17487])).
% 49.80/32.33 tff(17495,plain,
% 49.80/32.33 (~v84(constB138, bitIndex0)),
% 49.80/32.33 inference(unit_resolution,[status(thm)],[17494, 17382])).
% 49.80/32.33 tff(17496,plain,
% 49.80/32.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0)))),
% 49.80/32.33 inference(rewrite,[status(thm)],[])).
% 49.80/32.33 tff(17497,plain,
% 49.80/32.33 (((~nextState(constB138, constB139)) | v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0))) <=> (v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0)))),
% 49.80/32.33 inference(rewrite,[status(thm)],[])).
% 49.80/32.33 tff(17498,plain,
% 49.80/32.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0))))),
% 49.88/32.33 inference(monotonicity,[status(thm)],[17497])).
% 49.88/32.33 tff(17499,plain,
% 49.88/32.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0)))),
% 49.88/32.33 inference(transitivity,[status(thm)],[17498, 17496])).
% 49.88/32.33 tff(17500,plain,
% 49.88/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0)))),
% 49.88/32.33 inference(quant_inst,[status(thm)],[])).
% 49.88/32.33 tff(17501,plain,
% 49.88/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0))),
% 49.88/32.33 inference(modus_ponens,[status(thm)],[17500, 17499])).
% 49.88/32.33 tff(17502,plain,
% 49.88/32.33 (v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0))),
% 49.88/32.33 inference(unit_resolution,[status(thm)],[17501, 184, 17418])).
% 49.88/32.33 tff(17503,plain,
% 49.88/32.33 (v84(constB138, bitIndex0) | (~v84(constB139, bitIndex0))),
% 49.88/32.33 inference(unit_resolution,[status(thm)],[17502, 17430])).
% 49.88/32.33 tff(17504,plain,
% 49.88/32.33 (~v84(constB139, bitIndex0)),
% 49.88/32.33 inference(unit_resolution,[status(thm)],[17503, 17495])).
% 49.88/32.33 tff(17505,plain,
% 49.88/32.33 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))),
% 49.88/32.33 inference(rewrite,[status(thm)],[])).
% 49.88/32.33 tff(17506,plain,
% 49.88/32.33 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))),
% 49.88/32.33 inference(quant_inst,[status(thm)],[])).
% 49.88/32.33 tff(17507,plain,
% 49.88/32.33 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139)),
% 49.88/32.33 inference(modus_ponens,[status(thm)],[17506, 17505])).
% 49.88/32.33 tff(17508,plain,
% 49.88/32.33 (v115(constB139)),
% 49.88/32.33 inference(unit_resolution,[status(thm)],[17507, 1594, 17504, 17470, 17439])).
% 49.88/32.33 tff(17509,plain,
% 49.88/32.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB139)) | v111(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB139)) | v111(constB139))),
% 49.88/32.33 inference(rewrite,[status(thm)],[])).
% 49.88/32.33 tff(17510,plain,
% 49.88/32.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB139)) | v111(constB139))),
% 49.88/32.33 inference(quant_inst,[status(thm)],[])).
% 49.88/32.33 tff(17511,plain,
% 49.88/32.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB139)) | v111(constB139)),
% 49.88/32.33 inference(modus_ponens,[status(thm)],[17510, 17509])).
% 49.88/32.34 tff(17512,plain,
% 49.88/32.34 (v111(constB139)),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17511, 1605, 17508])).
% 49.88/32.34 tff(17513,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB139) | (~v111(constB139)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB139) | (~v111(constB139)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17514,plain,
% 49.88/32.34 (((~v111(constB139)) | v110(constB139)) <=> (v110(constB139) | (~v111(constB139)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17515,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB139)) | v110(constB139))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB139) | (~v111(constB139))))),
% 49.88/32.34 inference(monotonicity,[status(thm)],[17514])).
% 49.88/32.34 tff(17516,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB139)) | v110(constB139))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB139) | (~v111(constB139)))),
% 49.88/32.34 inference(transitivity,[status(thm)],[17515, 17513])).
% 49.88/32.34 tff(17517,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB139)) | v110(constB139))),
% 49.88/32.34 inference(quant_inst,[status(thm)],[])).
% 49.88/32.34 tff(17518,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB139) | (~v111(constB139))),
% 49.88/32.34 inference(modus_ponens,[status(thm)],[17517, 17516])).
% 49.88/32.34 tff(17519,plain,
% 49.88/32.34 (v110(constB139)),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17518, 292, 17512])).
% 49.88/32.34 tff(17520,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB139) | (~v110(constB139)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB139) | (~v110(constB139)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17521,plain,
% 49.88/32.34 (((~v110(constB139)) | v109(constB139)) <=> (v109(constB139) | (~v110(constB139)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17522,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB139)) | v109(constB139))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB139) | (~v110(constB139))))),
% 49.88/32.34 inference(monotonicity,[status(thm)],[17521])).
% 49.88/32.34 tff(17523,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB139)) | v109(constB139))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB139) | (~v110(constB139)))),
% 49.88/32.34 inference(transitivity,[status(thm)],[17522, 17520])).
% 49.88/32.34 tff(17524,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB139)) | v109(constB139))),
% 49.88/32.34 inference(quant_inst,[status(thm)],[])).
% 49.88/32.34 tff(17525,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB139) | (~v110(constB139))),
% 49.88/32.34 inference(modus_ponens,[status(thm)],[17524, 17523])).
% 49.88/32.34 tff(17526,plain,
% 49.88/32.34 (v109(constB139)),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17525, 306, 17519])).
% 49.88/32.34 tff(17527,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB139)) | v108(constB139))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17528,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB139)) | v108(constB139))),
% 49.88/32.34 inference(quant_inst,[status(thm)],[])).
% 49.88/32.34 tff(17529,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB139)) | v108(constB139)),
% 49.88/32.34 inference(modus_ponens,[status(thm)],[17528, 17527])).
% 49.88/32.34 tff(17530,plain,
% 49.88/32.34 (v108(constB139)),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17529, 320, 17526])).
% 49.88/32.34 tff(17531,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB139) | (~v108(constB139)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB139) | (~v108(constB139)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17532,plain,
% 49.88/32.34 (((~v108(constB139)) | v107(constB139)) <=> (v107(constB139) | (~v108(constB139)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17533,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB139)) | v107(constB139))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB139) | (~v108(constB139))))),
% 49.88/32.34 inference(monotonicity,[status(thm)],[17532])).
% 49.88/32.34 tff(17534,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB139)) | v107(constB139))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB139) | (~v108(constB139)))),
% 49.88/32.34 inference(transitivity,[status(thm)],[17533, 17531])).
% 49.88/32.34 tff(17535,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB139)) | v107(constB139))),
% 49.88/32.34 inference(quant_inst,[status(thm)],[])).
% 49.88/32.34 tff(17536,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB139) | (~v108(constB139))),
% 49.88/32.34 inference(modus_ponens,[status(thm)],[17535, 17534])).
% 49.88/32.34 tff(17537,plain,
% 49.88/32.34 (v107(constB139)),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17536, 334, 17530])).
% 49.88/32.34 tff(17538,assumption,(v26(constB139)), introduced(assumption)).
% 49.88/32.34 tff(17539,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB139))),
% 49.88/32.34 inference(quant_inst,[status(thm)],[])).
% 49.88/32.34 tff(17540,plain,
% 49.88/32.34 ($false),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17539, 55, 17538])).
% 49.88/32.34 tff(17541,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 49.88/32.34 tff(17542,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | v106(constB139) | (~v107(constB139)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17543,plain,
% 49.88/32.34 ((v26(constB139) | (~v107(constB139)) | v106(constB139)) <=> (v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17544,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | v106(constB139) | (~v107(constB139))))),
% 49.88/32.34 inference(monotonicity,[status(thm)],[17543])).
% 49.88/32.34 tff(17545,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 49.88/32.34 inference(transitivity,[status(thm)],[17544, 17542])).
% 49.88/32.34 tff(17546,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))),
% 49.88/32.34 inference(quant_inst,[status(thm)],[])).
% 49.88/32.34 tff(17547,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139))),
% 49.88/32.34 inference(modus_ponens,[status(thm)],[17546, 17545])).
% 49.88/32.34 tff(17548,plain,
% 49.88/32.34 (v106(constB139) | (~v107(constB139))),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17547, 348, 17541])).
% 49.88/32.34 tff(17549,plain,
% 49.88/32.34 (v106(constB139)),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17548, 17537])).
% 49.88/32.34 tff(17550,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB139) | (~v106(constB139)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB139) | (~v106(constB139)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17551,plain,
% 49.88/32.34 (((~v106(constB139)) | v102(constB139)) <=> (v102(constB139) | (~v106(constB139)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17552,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB139)) | v102(constB139))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB139) | (~v106(constB139))))),
% 49.88/32.34 inference(monotonicity,[status(thm)],[17551])).
% 49.88/32.34 tff(17553,plain,
% 49.88/32.34 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB139)) | v102(constB139))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB139) | (~v106(constB139)))),
% 49.88/32.34 inference(transitivity,[status(thm)],[17552, 17550])).
% 49.88/32.34 tff(17554,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB139)) | v102(constB139))),
% 49.88/32.34 inference(quant_inst,[status(thm)],[])).
% 49.88/32.34 tff(17555,plain,
% 49.88/32.34 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB139) | (~v106(constB139))),
% 49.88/32.34 inference(modus_ponens,[status(thm)],[17554, 17553])).
% 49.88/32.34 tff(17556,plain,
% 49.88/32.34 (v102(constB139)),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17555, 504, 17549])).
% 49.88/32.34 tff(17557,plain,
% 49.88/32.34 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17558,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 49.88/32.34 tff(17559,plain,
% 49.88/32.34 (nextState(constB139, constB140)),
% 49.88/32.34 inference(modus_ponens,[status(thm)],[17558, 17557])).
% 49.88/32.34 tff(17560,plain,
% 49.88/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17561,plain,
% 49.88/32.34 (((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140)) <=> ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17562,plain,
% 49.88/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139))))),
% 49.88/32.34 inference(monotonicity,[status(thm)],[17561])).
% 49.88/32.34 tff(17563,plain,
% 49.88/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 49.88/32.34 inference(transitivity,[status(thm)],[17562, 17560])).
% 49.88/32.34 tff(17564,plain,
% 49.88/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))),
% 49.88/32.34 inference(quant_inst,[status(thm)],[])).
% 49.88/32.34 tff(17565,plain,
% 49.88/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139))),
% 49.88/32.34 inference(modus_ponens,[status(thm)],[17564, 17563])).
% 49.88/32.34 tff(17566,plain,
% 49.88/32.34 (v104(constB140) | (~v102(constB139))),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17565, 489, 17559])).
% 49.88/32.34 tff(17567,plain,
% 49.88/32.34 (v104(constB140)),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17566, 17556])).
% 49.88/32.34 tff(17568,plain,
% 49.88/32.34 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17569,plain,
% 49.88/32.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))),
% 49.88/32.34 inference(quant_inst,[status(thm)],[])).
% 49.88/32.34 tff(17570,plain,
% 49.88/32.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140))),
% 49.88/32.34 inference(modus_ponens,[status(thm)],[17569, 17568])).
% 49.88/32.34 tff(17571,plain,
% 49.88/32.34 (~v98(constB140)),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17570, 423, 17559, 17415])).
% 49.88/32.34 tff(17572,plain,
% 49.88/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17573,plain,
% 49.88/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))),
% 49.88/32.34 inference(quant_inst,[status(thm)],[])).
% 49.88/32.34 tff(17574,plain,
% 49.88/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB139, constB140)) | v96(constB140) | v98(constB140)),
% 49.88/32.34 inference(modus_ponens,[status(thm)],[17573, 17572])).
% 49.88/32.34 tff(17575,plain,
% 49.88/32.34 (v96(constB140) | v98(constB140)),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17574, 437, 17559])).
% 49.88/32.34 tff(17576,plain,
% 49.88/32.34 (v96(constB140)),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17575, 17571])).
% 49.88/32.34 tff(17577,plain,
% 49.88/32.34 (v1(constB140) <=> v1(constB140)),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17578,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 49.88/32.34 tff(17579,plain,
% 49.88/32.34 (v1(constB140)),
% 49.88/32.34 inference(modus_ponens,[status(thm)],[17578, 17577])).
% 49.88/32.34 tff(17580,plain,
% 49.88/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17581,plain,
% 49.88/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))),
% 49.88/32.34 inference(quant_inst,[status(thm)],[])).
% 49.88/32.34 tff(17582,plain,
% 49.88/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140))),
% 49.88/32.34 inference(modus_ponens,[status(thm)],[17581, 17580])).
% 49.88/32.34 tff(17583,plain,
% 49.88/32.34 (v95(constB140) | (~v96(constB140))),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17582, 455, 17559, 17579])).
% 49.88/32.34 tff(17584,plain,
% 49.88/32.34 (v95(constB140)),
% 49.88/32.34 inference(unit_resolution,[status(thm)],[17583, 17576])).
% 49.88/32.34 tff(17585,plain,
% 49.88/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))),
% 49.88/32.34 inference(rewrite,[status(thm)],[])).
% 49.88/32.34 tff(17586,plain,
% 49.88/32.34 (((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140)) <=> ((~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17587,plain,
% 49.88/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140))))),
% 49.88/32.35 inference(monotonicity,[status(thm)],[17586])).
% 49.88/32.35 tff(17588,plain,
% 49.88/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))),
% 49.88/32.35 inference(transitivity,[status(thm)],[17587, 17585])).
% 49.88/32.35 tff(17589,plain,
% 49.88/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))),
% 49.88/32.35 inference(quant_inst,[status(thm)],[])).
% 49.88/32.35 tff(17590,plain,
% 49.88/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140))),
% 49.88/32.35 inference(modus_ponens,[status(thm)],[17589, 17588])).
% 49.88/32.35 tff(17591,plain,
% 49.88/32.35 (v94(constB140) | (~v95(constB140)) | (~v104(constB140))),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17590, 470, 17559])).
% 49.88/32.35 tff(17592,plain,
% 49.88/32.35 (v94(constB140) | (~v104(constB140))),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17591, 17584])).
% 49.88/32.35 tff(17593,plain,
% 49.88/32.35 (v94(constB140)),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17592, 17567])).
% 49.88/32.35 tff(17594,plain,
% 49.88/32.35 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB139)) | (~v124(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB139)) | (~v124(constB139, bitIndex2)))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17595,plain,
% 49.88/32.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB139)) | (~v124(constB139, bitIndex2)))),
% 49.88/32.35 inference(quant_inst,[status(thm)],[])).
% 49.88/32.35 tff(17596,plain,
% 49.88/32.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB139)) | (~v124(constB139, bitIndex2))),
% 49.88/32.35 inference(modus_ponens,[status(thm)],[17595, 17594])).
% 49.88/32.35 tff(17597,plain,
% 49.88/32.35 (~v124(constB139, bitIndex2)),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17596, 1690, 17508])).
% 49.88/32.35 tff(17598,plain,
% 49.88/32.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17599,plain,
% 49.88/32.35 ((v26(constB139) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2))) <=> ((~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17600,plain,
% 49.88/32.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB139) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2)))),
% 49.88/32.35 inference(monotonicity,[status(thm)],[17599])).
% 49.88/32.35 tff(17601,plain,
% 49.88/32.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB139) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2))),
% 49.88/32.35 inference(transitivity,[status(thm)],[17600, 17598])).
% 49.88/32.35 tff(17602,plain,
% 49.88/32.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB139) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2)))),
% 49.88/32.35 inference(quant_inst,[status(thm)],[])).
% 49.88/32.35 tff(17603,plain,
% 49.88/32.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2)),
% 49.88/32.35 inference(modus_ponens,[status(thm)],[17602, 17601])).
% 49.88/32.35 tff(17604,plain,
% 49.88/32.35 ((~v121(constB139, bitIndex2)) | v124(constB139, bitIndex2)),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17603, 1187, 17541])).
% 49.88/32.35 tff(17605,plain,
% 49.88/32.35 (~v121(constB139, bitIndex2)),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17604, 17597])).
% 49.88/32.35 tff(17606,plain,
% 49.88/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2)))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17607,plain,
% 49.88/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2)))),
% 49.88/32.35 inference(quant_inst,[status(thm)],[])).
% 49.88/32.35 tff(17608,plain,
% 49.88/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2))),
% 49.88/32.35 inference(modus_ponens,[status(thm)],[17607, 17606])).
% 49.88/32.35 tff(17609,plain,
% 49.88/32.35 (v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2))),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17608, 1205, 17559])).
% 49.88/32.35 tff(17610,plain,
% 49.88/32.35 (~v123(constB140, bitIndex2)),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17609, 17605])).
% 49.88/32.35 tff(17611,plain,
% 49.88/32.35 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140)))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17612,plain,
% 49.88/32.35 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140)))),
% 49.88/32.35 inference(quant_inst,[status(thm)],[])).
% 49.88/32.35 tff(17613,plain,
% 49.88/32.35 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140))),
% 49.88/32.35 inference(modus_ponens,[status(thm)],[17612, 17611])).
% 49.88/32.35 tff(17614,plain,
% 49.88/32.35 ((~v84(constB140, bitIndex2)) | (~v94(constB140))),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17613, 1220, 17610])).
% 49.88/32.35 tff(17615,plain,
% 49.88/32.35 (~v84(constB140, bitIndex2)),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17614, 17593])).
% 49.88/32.35 tff(17616,plain,
% 49.88/32.35 ((~v1(constB141)) <=> (~v1(constB141))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17617,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 49.88/32.35 tff(17618,plain,
% 49.88/32.35 (~v1(constB141)),
% 49.88/32.35 inference(modus_ponens,[status(thm)],[17617, 17616])).
% 49.88/32.35 tff(17619,plain,
% 49.88/32.35 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17620,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 49.88/32.35 tff(17621,plain,
% 49.88/32.35 (nextState(constB140, constB141)),
% 49.88/32.35 inference(modus_ponens,[status(thm)],[17620, 17619])).
% 49.88/32.35 tff(17622,plain,
% 49.88/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17623,plain,
% 49.88/32.35 (((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17624,plain,
% 49.88/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141))))),
% 49.88/32.35 inference(monotonicity,[status(thm)],[17623])).
% 49.88/32.35 tff(17625,plain,
% 49.88/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 49.88/32.35 inference(transitivity,[status(thm)],[17624, 17622])).
% 49.88/32.35 tff(17626,plain,
% 49.88/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))),
% 49.88/32.35 inference(quant_inst,[status(thm)],[])).
% 49.88/32.35 tff(17627,plain,
% 49.88/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141))),
% 49.88/32.35 inference(modus_ponens,[status(thm)],[17626, 17625])).
% 49.88/32.35 tff(17628,plain,
% 49.88/32.35 (~v95(constB141)),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17627, 110, 17621, 17618])).
% 49.88/32.35 tff(17629,plain,
% 49.88/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17630,plain,
% 49.88/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))),
% 49.88/32.35 inference(quant_inst,[status(thm)],[])).
% 49.88/32.35 tff(17631,plain,
% 49.88/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141))),
% 49.88/32.35 inference(modus_ponens,[status(thm)],[17630, 17629])).
% 49.88/32.35 tff(17632,plain,
% 49.88/32.35 (v95(constB141) | (~v94(constB141))),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17631, 127, 17621])).
% 49.88/32.35 tff(17633,plain,
% 49.88/32.35 (~v94(constB141)),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17632, 17628])).
% 49.88/32.35 tff(17634,plain,
% 49.88/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2)))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17635,plain,
% 49.88/32.35 (((~nextState(constB140, constB141)) | v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2))) <=> (v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2)))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17636,plain,
% 49.88/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2))))),
% 49.88/32.35 inference(monotonicity,[status(thm)],[17635])).
% 49.88/32.35 tff(17637,plain,
% 49.88/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2)))),
% 49.88/32.35 inference(transitivity,[status(thm)],[17636, 17634])).
% 49.88/32.35 tff(17638,plain,
% 49.88/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2)))),
% 49.88/32.35 inference(quant_inst,[status(thm)],[])).
% 49.88/32.35 tff(17639,plain,
% 49.88/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2))),
% 49.88/32.35 inference(modus_ponens,[status(thm)],[17638, 17637])).
% 49.88/32.35 tff(17640,plain,
% 49.88/32.35 (v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2))),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17639, 142, 17621])).
% 49.88/32.35 tff(17641,plain,
% 49.88/32.35 (v84(constB140, bitIndex2) | (~v84(constB141, bitIndex2))),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17640, 17633])).
% 49.88/32.35 tff(17642,plain,
% 49.88/32.35 (~v84(constB141, bitIndex2)),
% 49.88/32.35 inference(unit_resolution,[status(thm)],[17641, 17615])).
% 49.88/32.35 tff(17643,assumption,(~v84(constB141, bitIndex2)), introduced(assumption)).
% 49.88/32.35 tff(17644,assumption,(v115(constB139)), introduced(assumption)).
% 49.88/32.35 tff(17645,plain,
% 49.88/32.35 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB139)) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB139)) | v124(constB139, bitIndex0))),
% 49.88/32.35 inference(rewrite,[status(thm)],[])).
% 49.88/32.35 tff(17646,plain,
% 49.88/32.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB139)) | v124(constB139, bitIndex0))),
% 49.88/32.35 inference(quant_inst,[status(thm)],[])).
% 49.88/32.35 tff(17647,plain,
% 49.88/32.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB139)) | v124(constB139, bitIndex0)),
% 49.88/32.35 inference(modus_ponens,[status(thm)],[17646, 17645])).
% 49.88/32.36 tff(17648,plain,
% 49.88/32.36 (v124(constB139, bitIndex0)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17647, 1784, 17644])).
% 49.88/32.36 tff(17649,plain,
% 49.88/32.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB139) | (~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB139) | (~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0))),
% 49.88/32.36 inference(rewrite,[status(thm)],[])).
% 49.88/32.36 tff(17650,plain,
% 49.88/32.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB139) | (~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0))),
% 49.88/32.36 inference(quant_inst,[status(thm)],[])).
% 49.88/32.36 tff(17651,plain,
% 49.88/32.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB139) | (~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0)),
% 49.88/32.36 inference(modus_ponens,[status(thm)],[17650, 17649])).
% 49.88/32.36 tff(17652,plain,
% 49.88/32.36 ((~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17651, 1391, 17541])).
% 49.88/32.36 tff(17653,plain,
% 49.88/32.36 (v121(constB139, bitIndex0)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17652, 17648])).
% 49.88/32.36 tff(17654,plain,
% 49.88/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0))),
% 49.88/32.36 inference(rewrite,[status(thm)],[])).
% 49.88/32.36 tff(17655,plain,
% 49.88/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0))),
% 49.88/32.36 inference(quant_inst,[status(thm)],[])).
% 49.88/32.36 tff(17656,plain,
% 49.88/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0)),
% 49.88/32.36 inference(modus_ponens,[status(thm)],[17655, 17654])).
% 49.88/32.36 tff(17657,plain,
% 49.88/32.36 ((~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17656, 1406, 17559])).
% 49.88/32.36 tff(17658,plain,
% 49.88/32.36 (v123(constB140, bitIndex0)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17657, 17653])).
% 49.88/32.36 tff(17659,plain,
% 49.88/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2))),
% 49.88/32.36 inference(rewrite,[status(thm)],[])).
% 49.88/32.36 tff(17660,plain,
% 49.88/32.36 (((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2)) <=> ((~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2))),
% 49.88/32.36 inference(rewrite,[status(thm)],[])).
% 49.88/32.36 tff(17661,plain,
% 49.88/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2)))),
% 49.88/32.36 inference(monotonicity,[status(thm)],[17660])).
% 49.88/32.36 tff(17662,plain,
% 49.88/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2))),
% 49.88/32.36 inference(transitivity,[status(thm)],[17661, 17659])).
% 49.88/32.36 tff(17663,plain,
% 49.88/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2))),
% 49.88/32.36 inference(quant_inst,[status(thm)],[])).
% 49.88/32.36 tff(17664,plain,
% 49.88/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2)),
% 49.88/32.36 inference(modus_ponens,[status(thm)],[17663, 17662])).
% 49.88/32.36 tff(17665,plain,
% 49.88/32.36 ((~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17664, 576, 17621])).
% 49.88/32.36 tff(17666,plain,
% 49.88/32.36 ((~v84(constB140, bitIndex2)) | v84(constB141, bitIndex2)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17665, 17633])).
% 49.88/32.36 tff(17667,plain,
% 49.88/32.36 (~v84(constB140, bitIndex2)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17666, 17643])).
% 49.88/32.36 tff(17668,assumption,(~v94(constB140)), introduced(assumption)).
% 49.88/32.36 tff(17669,plain,
% 49.88/32.36 (~v104(constB140)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17592, 17668])).
% 49.88/32.36 tff(17670,plain,
% 49.88/32.36 (~v102(constB139)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17566, 17669])).
% 49.88/32.36 tff(17671,plain,
% 49.88/32.36 (~v106(constB139)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17555, 504, 17670])).
% 49.88/32.36 tff(17672,plain,
% 49.88/32.36 (~v107(constB139)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17548, 17671])).
% 49.88/32.36 tff(17673,plain,
% 49.88/32.36 (~v108(constB139)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17536, 334, 17672])).
% 49.88/32.36 tff(17674,plain,
% 49.88/32.36 (~v109(constB139)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17529, 320, 17673])).
% 49.88/32.36 tff(17675,plain,
% 49.88/32.36 (~v110(constB139)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17525, 306, 17674])).
% 49.88/32.36 tff(17676,plain,
% 49.88/32.36 (~v111(constB139)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17518, 292, 17675])).
% 49.88/32.36 tff(17677,plain,
% 49.88/32.36 (~v115(constB139)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17511, 1605, 17676])).
% 49.88/32.36 tff(17678,assumption,(~v84(constB140, bitIndex2)), introduced(assumption)).
% 49.88/32.36 tff(17679,assumption,(~v84(constB140, bitIndex1)), introduced(assumption)).
% 49.88/32.36 tff(17680,assumption,(~v84(constB140, bitIndex0)), introduced(assumption)).
% 49.88/32.36 tff(17681,assumption,(~v26(constB139)), introduced(assumption)).
% 49.88/32.36 tff(17682,plain,
% 49.88/32.36 (v106(constB139) | (~v107(constB139))),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17547, 348, 17681])).
% 49.88/32.36 tff(17683,plain,
% 49.88/32.36 (~v107(constB139)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17682, 17671])).
% 49.88/32.36 tff(17684,plain,
% 49.88/32.36 (~v108(constB139)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17536, 334, 17683])).
% 49.88/32.36 tff(17685,plain,
% 49.88/32.36 (~v109(constB139)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17529, 320, 17684])).
% 49.88/32.36 tff(17686,plain,
% 49.88/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB139, bitIndex2)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB139, bitIndex2)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex2))),
% 49.88/32.36 inference(rewrite,[status(thm)],[])).
% 49.88/32.36 tff(17687,plain,
% 49.88/32.36 (((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex2)) | v94(constB140) | v84(constB140, bitIndex2)) <=> ((~v84(constB139, bitIndex2)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex2))),
% 49.88/32.36 inference(rewrite,[status(thm)],[])).
% 49.88/32.36 tff(17688,plain,
% 49.88/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex2)) | v94(constB140) | v84(constB140, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB139, bitIndex2)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex2)))),
% 49.88/32.36 inference(monotonicity,[status(thm)],[17687])).
% 49.88/32.36 tff(17689,plain,
% 49.88/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex2)) | v94(constB140) | v84(constB140, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB139, bitIndex2)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex2))),
% 49.88/32.36 inference(transitivity,[status(thm)],[17688, 17686])).
% 49.88/32.36 tff(17690,plain,
% 49.88/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex2)) | v94(constB140) | v84(constB140, bitIndex2))),
% 49.88/32.36 inference(quant_inst,[status(thm)],[])).
% 49.88/32.36 tff(17691,plain,
% 49.88/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB139, bitIndex2)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex2)),
% 49.88/32.36 inference(modus_ponens,[status(thm)],[17690, 17689])).
% 49.88/32.36 tff(17692,plain,
% 49.88/32.36 ((~v84(constB139, bitIndex2)) | v94(constB140) | v84(constB140, bitIndex2)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17691, 576, 17559])).
% 49.88/32.36 tff(17693,plain,
% 49.88/32.36 (~v84(constB139, bitIndex2)),
% 49.88/32.36 inference(unit_resolution,[status(thm)],[17692, 17668, 17678])).
% 49.88/32.36 tff(17694,plain,
% 49.88/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB139, bitIndex1)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB139, bitIndex1)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex1))),
% 49.88/32.36 inference(rewrite,[status(thm)],[])).
% 49.88/32.36 tff(17695,plain,
% 49.88/32.36 (((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex1)) | v94(constB140) | v84(constB140, bitIndex1)) <=> ((~v84(constB139, bitIndex1)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex1))),
% 49.88/32.36 inference(rewrite,[status(thm)],[])).
% 49.88/32.36 tff(17696,plain,
% 49.88/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex1)) | v94(constB140) | v84(constB140, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB139, bitIndex1)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex1)))),
% 49.88/32.37 inference(monotonicity,[status(thm)],[17695])).
% 49.88/32.37 tff(17697,plain,
% 49.88/32.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex1)) | v94(constB140) | v84(constB140, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB139, bitIndex1)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex1))),
% 49.88/32.37 inference(transitivity,[status(thm)],[17696, 17694])).
% 49.88/32.37 tff(17698,plain,
% 49.88/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex1)) | v94(constB140) | v84(constB140, bitIndex1))),
% 49.88/32.37 inference(quant_inst,[status(thm)],[])).
% 49.88/32.37 tff(17699,plain,
% 49.88/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB139, bitIndex1)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex1)),
% 49.88/32.37 inference(modus_ponens,[status(thm)],[17698, 17697])).
% 49.88/32.37 tff(17700,plain,
% 49.88/32.37 ((~v84(constB139, bitIndex1)) | v94(constB140) | v84(constB140, bitIndex1)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17699, 905, 17559])).
% 49.88/32.37 tff(17701,plain,
% 49.88/32.37 (~v84(constB139, bitIndex1)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17700, 17668, 17679])).
% 49.88/32.37 tff(17702,plain,
% 49.88/32.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex0))),
% 49.88/32.37 inference(rewrite,[status(thm)],[])).
% 49.88/32.37 tff(17703,plain,
% 49.88/32.37 (((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex0)) | v94(constB140) | v84(constB140, bitIndex0)) <=> ((~v84(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex0))),
% 49.88/32.37 inference(rewrite,[status(thm)],[])).
% 49.88/32.37 tff(17704,plain,
% 49.88/32.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex0)) | v94(constB140) | v84(constB140, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex0)))),
% 49.88/32.37 inference(monotonicity,[status(thm)],[17703])).
% 49.88/32.37 tff(17705,plain,
% 49.88/32.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex0)) | v94(constB140) | v84(constB140, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex0))),
% 49.88/32.37 inference(transitivity,[status(thm)],[17704, 17702])).
% 49.88/32.37 tff(17706,plain,
% 49.88/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex0)) | v94(constB140) | v84(constB140, bitIndex0))),
% 49.88/32.37 inference(quant_inst,[status(thm)],[])).
% 49.88/32.37 tff(17707,plain,
% 49.88/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex0)),
% 49.88/32.37 inference(modus_ponens,[status(thm)],[17706, 17705])).
% 49.88/32.37 tff(17708,plain,
% 49.88/32.37 ((~v84(constB139, bitIndex0)) | v94(constB140) | v84(constB140, bitIndex0)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17707, 1439, 17559])).
% 49.88/32.37 tff(17709,plain,
% 49.88/32.37 (~v84(constB139, bitIndex0)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17708, 17668, 17680])).
% 49.88/32.37 tff(17710,plain,
% 49.88/32.37 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v113(constB139))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v113(constB139))),
% 49.88/32.37 inference(rewrite,[status(thm)],[])).
% 49.88/32.37 tff(17711,plain,
% 49.88/32.37 ((v84(constB139, bitIndex0) | v113(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2)) <=> (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v113(constB139))),
% 49.88/32.37 inference(rewrite,[status(thm)],[])).
% 49.88/32.37 tff(17712,plain,
% 49.88/32.37 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB139, bitIndex0) | v113(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v113(constB139)))),
% 49.88/32.37 inference(monotonicity,[status(thm)],[17711])).
% 49.88/32.37 tff(17713,plain,
% 49.88/32.37 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB139, bitIndex0) | v113(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v113(constB139))),
% 49.88/32.37 inference(transitivity,[status(thm)],[17712, 17710])).
% 49.88/32.37 tff(17714,plain,
% 49.88/32.37 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB139, bitIndex0) | v113(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2))),
% 49.88/32.37 inference(quant_inst,[status(thm)],[])).
% 49.88/32.37 tff(17715,plain,
% 49.88/32.37 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v113(constB139)),
% 49.88/32.37 inference(modus_ponens,[status(thm)],[17714, 17713])).
% 49.88/32.37 tff(17716,plain,
% 49.88/32.37 (v113(constB139)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17715, 205, 17709, 17701, 17693])).
% 49.88/32.37 tff(17717,plain,
% 49.88/32.37 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB139)) | v112(constB139))),
% 49.88/32.37 inference(rewrite,[status(thm)],[])).
% 49.88/32.37 tff(17718,plain,
% 49.88/32.37 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB139)) | v112(constB139))),
% 49.88/32.37 inference(quant_inst,[status(thm)],[])).
% 49.88/32.37 tff(17719,plain,
% 49.88/32.37 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB139)) | v112(constB139)),
% 49.88/32.37 inference(modus_ponens,[status(thm)],[17718, 17717])).
% 49.88/32.37 tff(17720,plain,
% 49.88/32.37 (v112(constB139)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17719, 267, 17716])).
% 49.88/32.37 tff(17721,plain,
% 49.88/32.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB139)) | v111(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB139)) | v111(constB139))),
% 49.88/32.37 inference(rewrite,[status(thm)],[])).
% 49.88/32.37 tff(17722,plain,
% 49.88/32.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB139)) | v111(constB139))),
% 49.88/32.37 inference(quant_inst,[status(thm)],[])).
% 49.88/32.37 tff(17723,plain,
% 49.88/32.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB139)) | v111(constB139)),
% 49.88/32.37 inference(modus_ponens,[status(thm)],[17722, 17721])).
% 49.88/32.37 tff(17724,plain,
% 49.88/32.37 (v111(constB139)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17723, 278, 17720])).
% 49.88/32.37 tff(17725,plain,
% 49.88/32.37 (v110(constB139)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17518, 292, 17724])).
% 49.88/32.37 tff(17726,plain,
% 49.88/32.37 ($false),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17525, 306, 17725, 17685])).
% 49.88/32.37 tff(17727,plain,(v94(constB140) | v26(constB139) | v84(constB140, bitIndex0) | v84(constB140, bitIndex1) | v84(constB140, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.88/32.37 tff(17728,plain,
% 49.88/32.37 (v94(constB140)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17727, 17681, 17680, 17679, 17678])).
% 49.88/32.37 tff(17729,plain,
% 49.88/32.37 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140)))),
% 49.88/32.37 inference(rewrite,[status(thm)],[])).
% 49.88/32.37 tff(17730,plain,
% 49.88/32.37 ((v84(constB140, bitIndex0) | (~v94(constB140)) | (~v123(constB140, bitIndex0))) <=> (v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140)))),
% 49.88/32.37 inference(rewrite,[status(thm)],[])).
% 49.88/32.37 tff(17731,plain,
% 49.88/32.37 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v94(constB140)) | (~v123(constB140, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140))))),
% 49.88/32.37 inference(monotonicity,[status(thm)],[17730])).
% 49.88/32.37 tff(17732,plain,
% 49.88/32.37 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v94(constB140)) | (~v123(constB140, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140)))),
% 49.88/32.37 inference(transitivity,[status(thm)],[17731, 17729])).
% 49.88/32.37 tff(17733,plain,
% 49.88/32.37 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v94(constB140)) | (~v123(constB140, bitIndex0)))),
% 49.88/32.37 inference(quant_inst,[status(thm)],[])).
% 49.88/32.37 tff(17734,plain,
% 49.88/32.37 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140))),
% 49.88/32.37 inference(modus_ponens,[status(thm)],[17733, 17732])).
% 49.88/32.37 tff(17735,plain,
% 49.88/32.37 ((~v123(constB140, bitIndex0)) | (~v94(constB140))),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17734, 1421, 17680])).
% 49.88/32.37 tff(17736,plain,
% 49.88/32.37 (~v123(constB140, bitIndex0)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17735, 17728])).
% 49.88/32.37 tff(17737,plain,
% 49.88/32.37 (~v121(constB139, bitIndex0)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17657, 17736])).
% 49.88/32.37 tff(17738,plain,
% 49.88/32.37 ((~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17651, 1391, 17681])).
% 49.88/32.37 tff(17739,plain,
% 49.88/32.37 (~v124(constB139, bitIndex0)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17738, 17737])).
% 49.88/32.37 tff(17740,plain,
% 49.88/32.37 (~v115(constB139)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17647, 1784, 17739])).
% 49.88/32.37 tff(17741,plain,
% 49.88/32.37 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140)))),
% 49.88/32.37 inference(rewrite,[status(thm)],[])).
% 49.88/32.37 tff(17742,plain,
% 49.88/32.37 ((v84(constB140, bitIndex2) | (~v94(constB140)) | (~v123(constB140, bitIndex2))) <=> (v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140)))),
% 49.88/32.37 inference(rewrite,[status(thm)],[])).
% 49.88/32.37 tff(17743,plain,
% 49.88/32.37 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v94(constB140)) | (~v123(constB140, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140))))),
% 49.88/32.37 inference(monotonicity,[status(thm)],[17742])).
% 49.88/32.37 tff(17744,plain,
% 49.88/32.37 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v94(constB140)) | (~v123(constB140, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140)))),
% 49.88/32.37 inference(transitivity,[status(thm)],[17743, 17741])).
% 49.88/32.37 tff(17745,plain,
% 49.88/32.37 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v94(constB140)) | (~v123(constB140, bitIndex2)))),
% 49.88/32.37 inference(quant_inst,[status(thm)],[])).
% 49.88/32.37 tff(17746,plain,
% 49.88/32.37 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140))),
% 49.88/32.37 inference(modus_ponens,[status(thm)],[17745, 17744])).
% 49.88/32.37 tff(17747,plain,
% 49.88/32.37 ((~v123(constB140, bitIndex2)) | (~v94(constB140))),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17746, 405, 17678])).
% 49.88/32.37 tff(17748,plain,
% 49.88/32.37 (~v123(constB140, bitIndex2)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17747, 17728])).
% 49.88/32.37 tff(17749,plain,
% 49.88/32.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2))),
% 49.88/32.37 inference(rewrite,[status(thm)],[])).
% 49.88/32.37 tff(17750,plain,
% 49.88/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2))),
% 49.88/32.37 inference(quant_inst,[status(thm)],[])).
% 49.88/32.37 tff(17751,plain,
% 49.88/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2)),
% 49.88/32.37 inference(modus_ponens,[status(thm)],[17750, 17749])).
% 49.88/32.37 tff(17752,plain,
% 49.88/32.37 ((~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17751, 389, 17559])).
% 49.88/32.37 tff(17753,plain,
% 49.88/32.37 (~v121(constB139, bitIndex2)),
% 49.88/32.37 inference(unit_resolution,[status(thm)],[17752, 17748])).
% 49.88/32.37 tff(17754,plain,
% 49.88/32.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB139) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB139) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))),
% 49.88/32.38 inference(rewrite,[status(thm)],[])).
% 49.88/32.38 tff(17755,plain,
% 49.88/32.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB139) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))),
% 49.88/32.38 inference(quant_inst,[status(thm)],[])).
% 49.88/32.38 tff(17756,plain,
% 49.88/32.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB139) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2)),
% 49.88/32.38 inference(modus_ponens,[status(thm)],[17755, 17754])).
% 49.88/32.38 tff(17757,plain,
% 49.88/32.38 ((~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2)),
% 49.88/32.38 inference(unit_resolution,[status(thm)],[17756, 374, 17681])).
% 49.88/32.38 tff(17758,plain,
% 49.88/32.38 (~v124(constB139, bitIndex2)),
% 49.88/32.38 inference(unit_resolution,[status(thm)],[17757, 17753])).
% 49.88/32.38 tff(17759,plain,
% 49.88/32.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB139)) | v124(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB139)) | v124(constB139, bitIndex2))),
% 49.88/32.38 inference(rewrite,[status(thm)],[])).
% 49.88/32.38 tff(17760,plain,
% 49.88/32.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB139)) | v124(constB139, bitIndex2))),
% 49.88/32.38 inference(quant_inst,[status(thm)],[])).
% 49.88/32.38 tff(17761,plain,
% 49.88/32.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB139)) | v124(constB139, bitIndex2)),
% 49.88/32.38 inference(modus_ponens,[status(thm)],[17760, 17759])).
% 49.88/32.38 tff(17762,plain,
% 49.88/32.38 (~v116(constB139)),
% 49.88/32.38 inference(unit_resolution,[status(thm)],[17761, 1923, 17758])).
% 49.88/32.38 tff(17763,plain,
% 49.88/32.38 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB139)) | v124(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB139)) | v124(constB139, bitIndex2))),
% 49.88/32.38 inference(rewrite,[status(thm)],[])).
% 49.88/32.38 tff(17764,plain,
% 49.88/32.38 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB139)) | v124(constB139, bitIndex2))),
% 49.88/32.38 inference(quant_inst,[status(thm)],[])).
% 49.88/32.38 tff(17765,plain,
% 49.88/32.38 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB139)) | v124(constB139, bitIndex2)),
% 49.88/32.38 inference(modus_ponens,[status(thm)],[17764, 17763])).
% 49.88/32.38 tff(17766,plain,
% 49.88/32.38 (~v113(constB139)),
% 49.88/32.38 inference(unit_resolution,[status(thm)],[17765, 360, 17758])).
% 49.88/32.38 tff(17767,plain,
% 49.88/32.38 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB139)) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB139)) | v124(constB139, bitIndex0))),
% 49.88/32.38 inference(rewrite,[status(thm)],[])).
% 49.88/32.38 tff(17768,plain,
% 49.88/32.38 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB139)) | v124(constB139, bitIndex0))),
% 49.88/32.38 inference(quant_inst,[status(thm)],[])).
% 49.88/32.38 tff(17769,plain,
% 49.88/32.38 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB139)) | v124(constB139, bitIndex0)),
% 49.88/32.38 inference(modus_ponens,[status(thm)],[17768, 17767])).
% 49.88/32.38 tff(17770,plain,
% 49.88/32.38 (~v118(constB139)),
% 49.88/32.38 inference(unit_resolution,[status(thm)],[17769, 4562, 17739])).
% 49.88/32.38 tff(17771,plain,
% 49.88/32.38 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140)))),
% 49.88/32.38 inference(rewrite,[status(thm)],[])).
% 49.88/32.38 tff(17772,plain,
% 49.88/32.38 ((v84(constB140, bitIndex1) | (~v94(constB140)) | (~v123(constB140, bitIndex1))) <=> (v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140)))),
% 49.88/32.38 inference(rewrite,[status(thm)],[])).
% 49.92/32.38 tff(17773,plain,
% 49.92/32.38 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v94(constB140)) | (~v123(constB140, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140))))),
% 49.92/32.38 inference(monotonicity,[status(thm)],[17772])).
% 49.92/32.38 tff(17774,plain,
% 49.92/32.38 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v94(constB140)) | (~v123(constB140, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140)))),
% 49.92/32.38 inference(transitivity,[status(thm)],[17773, 17771])).
% 49.92/32.38 tff(17775,plain,
% 49.92/32.38 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v94(constB140)) | (~v123(constB140, bitIndex1)))),
% 49.92/32.38 inference(quant_inst,[status(thm)],[])).
% 49.92/32.38 tff(17776,plain,
% 49.92/32.38 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140))),
% 49.92/32.38 inference(modus_ponens,[status(thm)],[17775, 17774])).
% 49.92/32.38 tff(17777,plain,
% 49.92/32.38 ((~v123(constB140, bitIndex1)) | (~v94(constB140))),
% 49.92/32.38 inference(unit_resolution,[status(thm)],[17776, 887, 17679])).
% 49.92/32.38 tff(17778,plain,
% 49.92/32.38 (~v123(constB140, bitIndex1)),
% 49.92/32.38 inference(unit_resolution,[status(thm)],[17777, 17728])).
% 49.92/32.38 tff(17779,plain,
% 49.92/32.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1))),
% 49.92/32.38 inference(rewrite,[status(thm)],[])).
% 49.92/32.38 tff(17780,plain,
% 49.92/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1))),
% 49.92/32.38 inference(quant_inst,[status(thm)],[])).
% 49.92/32.38 tff(17781,plain,
% 49.92/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1)),
% 49.92/32.38 inference(modus_ponens,[status(thm)],[17780, 17779])).
% 49.92/32.38 tff(17782,plain,
% 49.92/32.38 ((~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1)),
% 49.92/32.38 inference(unit_resolution,[status(thm)],[17781, 872, 17559])).
% 49.92/32.38 tff(17783,plain,
% 49.92/32.38 (~v121(constB139, bitIndex1)),
% 49.92/32.38 inference(unit_resolution,[status(thm)],[17782, 17778])).
% 49.92/32.38 tff(17784,plain,
% 49.92/32.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB139) | (~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB139) | (~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1))),
% 49.92/32.38 inference(rewrite,[status(thm)],[])).
% 49.92/32.38 tff(17785,plain,
% 49.92/32.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB139) | (~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1))),
% 49.92/32.38 inference(quant_inst,[status(thm)],[])).
% 49.92/32.38 tff(17786,plain,
% 49.92/32.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB139) | (~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1)),
% 49.92/32.38 inference(modus_ponens,[status(thm)],[17785, 17784])).
% 49.92/32.38 tff(17787,plain,
% 49.92/32.38 ((~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1)),
% 49.92/32.38 inference(unit_resolution,[status(thm)],[17786, 857, 17681])).
% 49.92/32.38 tff(17788,plain,
% 49.92/32.38 (~v124(constB139, bitIndex1)),
% 49.92/32.38 inference(unit_resolution,[status(thm)],[17787, 17783])).
% 49.92/32.38 tff(17789,plain,
% 49.92/32.38 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB139)) | v124(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB139)) | v124(constB139, bitIndex1))),
% 49.92/32.38 inference(rewrite,[status(thm)],[])).
% 49.92/32.38 tff(17790,plain,
% 49.92/32.38 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB139)) | v124(constB139, bitIndex1))),
% 49.92/32.38 inference(quant_inst,[status(thm)],[])).
% 49.92/32.38 tff(17791,plain,
% 49.92/32.38 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB139)) | v124(constB139, bitIndex1)),
% 49.92/32.38 inference(modus_ponens,[status(thm)],[17790, 17789])).
% 49.92/32.38 tff(17792,plain,
% 49.92/32.38 (~v172(constB139)),
% 49.92/32.38 inference(unit_resolution,[status(thm)],[17791, 843, 17788])).
% 49.92/32.38 tff(17793,plain,
% 49.92/32.38 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB139)) | v124(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB139)) | v124(constB139, bitIndex1))),
% 49.92/32.38 inference(rewrite,[status(thm)],[])).
% 49.92/32.38 tff(17794,plain,
% 49.92/32.38 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB139)) | v124(constB139, bitIndex1))),
% 49.92/32.38 inference(quant_inst,[status(thm)],[])).
% 49.92/32.38 tff(17795,plain,
% 49.92/32.38 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB139)) | v124(constB139, bitIndex1)),
% 49.92/32.38 inference(modus_ponens,[status(thm)],[17794, 17793])).
% 49.92/32.38 tff(17796,plain,
% 49.92/32.38 (~v145(constB139)),
% 49.92/32.38 inference(unit_resolution,[status(thm)],[17795, 1512, 17788])).
% 49.92/32.38 tff(17797,plain,
% 49.92/32.38 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB139) | v172(constB139) | v118(constB139) | v113(constB139) | v116(constB139) | v115(constB139) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB139) | v172(constB139) | v118(constB139) | v113(constB139) | v116(constB139) | v115(constB139) | v124(constB139, bitIndex0))),
% 49.92/32.38 inference(rewrite,[status(thm)],[])).
% 49.92/32.38 tff(17798,plain,
% 49.92/32.38 ((v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | v124(constB139, bitIndex0)) <=> (v145(constB139) | v172(constB139) | v118(constB139) | v113(constB139) | v116(constB139) | v115(constB139) | v124(constB139, bitIndex0))),
% 49.92/32.38 inference(rewrite,[status(thm)],[])).
% 49.92/32.38 tff(17799,plain,
% 49.92/32.38 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB139) | v172(constB139) | v118(constB139) | v113(constB139) | v116(constB139) | v115(constB139) | v124(constB139, bitIndex0)))),
% 49.92/32.38 inference(monotonicity,[status(thm)],[17798])).
% 49.92/32.38 tff(17800,plain,
% 49.92/32.38 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB139) | v172(constB139) | v118(constB139) | v113(constB139) | v116(constB139) | v115(constB139) | v124(constB139, bitIndex0))),
% 49.92/32.38 inference(transitivity,[status(thm)],[17799, 17797])).
% 49.92/32.38 tff(17801,plain,
% 49.92/32.38 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | v124(constB139, bitIndex0))),
% 49.92/32.38 inference(quant_inst,[status(thm)],[])).
% 49.92/32.38 tff(17802,plain,
% 49.92/32.38 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB139) | v172(constB139) | v118(constB139) | v113(constB139) | v116(constB139) | v115(constB139) | v124(constB139, bitIndex0)),
% 49.92/32.38 inference(modus_ponens,[status(thm)],[17801, 17800])).
% 49.92/32.38 tff(17803,plain,
% 49.92/32.38 (v145(constB139) | v172(constB139) | v118(constB139) | v113(constB139) | v116(constB139) | v115(constB139)),
% 49.92/32.38 inference(unit_resolution,[status(thm)],[17802, 1374, 17739])).
% 49.92/32.38 tff(17804,plain,
% 49.92/32.38 ($false),
% 49.92/32.38 inference(unit_resolution,[status(thm)],[17803, 17796, 17792, 17770, 17766, 17762, 17740])).
% 49.92/32.38 tff(17805,plain,(v26(constB139) | v84(constB140, bitIndex2) | v84(constB140, bitIndex1) | v84(constB140, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.92/32.38 tff(17806,plain,
% 49.92/32.38 (v84(constB140, bitIndex0)),
% 49.92/32.38 inference(unit_resolution,[status(thm)],[17805, 17679, 17541, 17678])).
% 49.92/32.38 tff(17807,assumption,(v84(constB140, bitIndex0)), introduced(assumption)).
% 49.92/32.38 tff(17808,plain,
% 49.92/32.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex0)))),
% 49.92/32.38 inference(rewrite,[status(thm)],[])).
% 49.92/32.38 tff(17809,plain,
% 49.92/32.38 (((~nextState(constB139, constB140)) | v84(constB139, bitIndex0) | v94(constB140) | (~v84(constB140, bitIndex0))) <=> (v84(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex0)))),
% 49.92/32.38 inference(rewrite,[status(thm)],[])).
% 49.92/32.38 tff(17810,plain,
% 49.92/32.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex0) | v94(constB140) | (~v84(constB140, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex0))))),
% 49.92/32.38 inference(monotonicity,[status(thm)],[17809])).
% 49.92/32.38 tff(17811,plain,
% 49.92/32.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex0) | v94(constB140) | (~v84(constB140, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex0)))),
% 49.92/32.38 inference(transitivity,[status(thm)],[17810, 17808])).
% 49.92/32.38 tff(17812,plain,
% 49.92/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex0) | v94(constB140) | (~v84(constB140, bitIndex0)))),
% 49.92/32.38 inference(quant_inst,[status(thm)],[])).
% 49.92/32.38 tff(17813,plain,
% 49.92/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex0))),
% 49.92/32.39 inference(modus_ponens,[status(thm)],[17812, 17811])).
% 49.92/32.39 tff(17814,plain,
% 49.92/32.39 (v84(constB139, bitIndex0) | v94(constB140) | (~v84(constB140, bitIndex0))),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17813, 184, 17559])).
% 49.92/32.39 tff(17815,plain,
% 49.92/32.39 (v84(constB139, bitIndex0)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17814, 17668, 17807])).
% 49.92/32.39 tff(17816,plain,
% 49.92/32.39 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v145(constB139))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v145(constB139))),
% 49.92/32.39 inference(rewrite,[status(thm)],[])).
% 49.92/32.39 tff(17817,plain,
% 49.92/32.39 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v145(constB139))),
% 49.92/32.39 inference(quant_inst,[status(thm)],[])).
% 49.92/32.39 tff(17818,plain,
% 49.92/32.39 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v145(constB139)),
% 49.92/32.39 inference(modus_ponens,[status(thm)],[17817, 17816])).
% 49.92/32.39 tff(17819,plain,
% 49.92/32.39 (v145(constB139)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17818, 1268, 17815, 17701, 17693])).
% 49.92/32.39 tff(17820,plain,
% 49.92/32.39 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB139) | (~v145(constB139)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB139) | (~v145(constB139)))),
% 49.92/32.39 inference(rewrite,[status(thm)],[])).
% 49.92/32.39 tff(17821,plain,
% 49.92/32.39 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB139) | (~v145(constB139)))),
% 49.92/32.39 inference(quant_inst,[status(thm)],[])).
% 49.92/32.39 tff(17822,plain,
% 49.92/32.39 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB139) | (~v145(constB139))),
% 49.92/32.39 inference(modus_ponens,[status(thm)],[17821, 17820])).
% 49.92/32.39 tff(17823,plain,
% 49.92/32.39 (v112(constB139)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17822, 1253, 17819])).
% 49.92/32.39 tff(17824,plain,
% 49.92/32.39 (v111(constB139)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17723, 278, 17823])).
% 49.92/32.39 tff(17825,plain,
% 49.92/32.39 (v110(constB139)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17518, 292, 17824])).
% 49.92/32.39 tff(17826,plain,
% 49.92/32.39 ($false),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17525, 306, 17825, 17685])).
% 49.92/32.39 tff(17827,plain,(v94(constB140) | v26(constB139) | v84(constB140, bitIndex1) | v84(constB140, bitIndex2) | (~v84(constB140, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 49.92/32.39 tff(17828,plain,
% 49.92/32.39 ($false),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17827, 17806, 17679, 17668, 17678, 17541])).
% 49.92/32.39 tff(17829,plain,(v84(constB140, bitIndex1) | v94(constB140) | v84(constB140, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.92/32.39 tff(17830,plain,
% 49.92/32.39 (v84(constB140, bitIndex1)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17829, 17668, 17678])).
% 49.92/32.39 tff(17831,plain,
% 49.92/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB139, bitIndex1) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB139, bitIndex1) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex1)))),
% 49.92/32.39 inference(rewrite,[status(thm)],[])).
% 49.92/32.39 tff(17832,plain,
% 49.92/32.39 (((~nextState(constB139, constB140)) | v84(constB139, bitIndex1) | v94(constB140) | (~v84(constB140, bitIndex1))) <=> (v84(constB139, bitIndex1) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex1)))),
% 49.92/32.39 inference(rewrite,[status(thm)],[])).
% 49.92/32.39 tff(17833,plain,
% 49.92/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex1) | v94(constB140) | (~v84(constB140, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB139, bitIndex1) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex1))))),
% 49.92/32.39 inference(monotonicity,[status(thm)],[17832])).
% 49.92/32.39 tff(17834,plain,
% 49.92/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex1) | v94(constB140) | (~v84(constB140, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB139, bitIndex1) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex1)))),
% 49.92/32.39 inference(transitivity,[status(thm)],[17833, 17831])).
% 49.92/32.39 tff(17835,plain,
% 49.92/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex1) | v94(constB140) | (~v84(constB140, bitIndex1)))),
% 49.92/32.39 inference(quant_inst,[status(thm)],[])).
% 49.92/32.39 tff(17836,plain,
% 49.92/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB139, bitIndex1) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex1))),
% 49.92/32.39 inference(modus_ponens,[status(thm)],[17835, 17834])).
% 49.92/32.39 tff(17837,plain,
% 49.92/32.39 (v84(constB139, bitIndex1) | v94(constB140) | (~v84(constB140, bitIndex1))),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17836, 163, 17559])).
% 49.92/32.39 tff(17838,plain,
% 49.92/32.39 (v84(constB139, bitIndex1)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17837, 17830, 17668])).
% 49.92/32.39 tff(17839,plain,
% 49.92/32.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB139)) | v110(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB139)) | v110(constB139))),
% 49.92/32.39 inference(rewrite,[status(thm)],[])).
% 49.92/32.39 tff(17840,plain,
% 49.92/32.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB139)) | v110(constB139))),
% 49.92/32.39 inference(quant_inst,[status(thm)],[])).
% 49.92/32.39 tff(17841,plain,
% 49.92/32.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB139)) | v110(constB139)),
% 49.92/32.39 inference(modus_ponens,[status(thm)],[17840, 17839])).
% 49.92/32.39 tff(17842,plain,
% 49.92/32.39 (~v116(constB139)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17841, 1836, 17675])).
% 49.92/32.39 tff(17843,plain,
% 49.92/32.39 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139))),
% 49.92/32.39 inference(rewrite,[status(thm)],[])).
% 49.92/32.39 tff(17844,plain,
% 49.92/32.39 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139))),
% 49.92/32.39 inference(quant_inst,[status(thm)],[])).
% 49.92/32.39 tff(17845,plain,
% 49.92/32.39 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139)),
% 49.92/32.39 inference(modus_ponens,[status(thm)],[17844, 17843])).
% 49.92/32.39 tff(17846,plain,
% 49.92/32.39 ((~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v116(constB139)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17845, 1825, 17693])).
% 49.92/32.39 tff(17847,plain,
% 49.92/32.39 (~v84(constB139, bitIndex0)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17846, 17838, 17842])).
% 49.92/32.39 tff(17848,plain,
% 49.92/32.39 (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v115(constB139)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17507, 1594, 17693])).
% 49.92/32.39 tff(17849,plain,
% 49.92/32.39 ($false),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17848, 17847, 17838, 17677])).
% 49.92/32.39 tff(17850,plain,(v94(constB140) | v84(constB140, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.92/32.39 tff(17851,plain,
% 49.92/32.39 (v94(constB140)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17850, 17667])).
% 49.92/32.39 tff(17852,plain,
% 49.92/32.39 (v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0))),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17734, 1421, 17851])).
% 49.92/32.39 tff(17853,plain,
% 49.92/32.39 (v84(constB140, bitIndex0)),
% 49.92/32.39 inference(unit_resolution,[status(thm)],[17852, 17658])).
% 49.92/32.39 tff(17854,plain,
% 49.92/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0))),
% 49.92/32.39 inference(rewrite,[status(thm)],[])).
% 49.92/32.39 tff(17855,plain,
% 49.92/32.39 (((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0)) <=> ((~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0))),
% 49.92/32.39 inference(rewrite,[status(thm)],[])).
% 49.92/32.39 tff(17856,plain,
% 49.92/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0)))),
% 49.92/32.39 inference(monotonicity,[status(thm)],[17855])).
% 49.92/32.39 tff(17857,plain,
% 49.92/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0))),
% 49.92/32.39 inference(transitivity,[status(thm)],[17856, 17854])).
% 49.92/32.39 tff(17858,plain,
% 49.92/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0))),
% 49.92/32.39 inference(quant_inst,[status(thm)],[])).
% 49.92/32.39 tff(17859,plain,
% 49.92/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0)),
% 49.92/32.40 inference(modus_ponens,[status(thm)],[17858, 17857])).
% 49.92/32.40 tff(17860,plain,
% 49.92/32.40 ((~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17859, 1439, 17621])).
% 49.92/32.40 tff(17861,plain,
% 49.92/32.40 ((~v84(constB140, bitIndex0)) | v84(constB141, bitIndex0)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17860, 17633])).
% 49.92/32.40 tff(17862,plain,
% 49.92/32.40 (v84(constB141, bitIndex0)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17861, 17853])).
% 49.92/32.40 tff(17863,plain,
% 49.92/32.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB139)) | v124(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB139)) | v124(constB139, bitIndex1))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17864,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB139)) | v124(constB139, bitIndex1))),
% 49.92/32.40 inference(quant_inst,[status(thm)],[])).
% 49.92/32.40 tff(17865,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB139)) | v124(constB139, bitIndex1)),
% 49.92/32.40 inference(modus_ponens,[status(thm)],[17864, 17863])).
% 49.92/32.40 tff(17866,plain,
% 49.92/32.40 (v124(constB139, bitIndex1)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17865, 1746, 17644])).
% 49.92/32.40 tff(17867,plain,
% 49.92/32.40 ((~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17786, 857, 17541])).
% 49.92/32.40 tff(17868,plain,
% 49.92/32.40 (v121(constB139, bitIndex1)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17867, 17866])).
% 49.92/32.40 tff(17869,plain,
% 49.92/32.40 (v123(constB140, bitIndex1)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17782, 17868])).
% 49.92/32.40 tff(17870,plain,
% 49.92/32.40 (v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1))),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17776, 887, 17851])).
% 49.92/32.40 tff(17871,plain,
% 49.92/32.40 (v84(constB140, bitIndex1)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17870, 17869])).
% 49.92/32.40 tff(17872,plain,
% 49.92/32.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17873,plain,
% 49.92/32.40 (((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1)) <=> ((~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17874,plain,
% 49.92/32.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1)))),
% 49.92/32.40 inference(monotonicity,[status(thm)],[17873])).
% 49.92/32.40 tff(17875,plain,
% 49.92/32.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1))),
% 49.92/32.40 inference(transitivity,[status(thm)],[17874, 17872])).
% 49.92/32.40 tff(17876,plain,
% 49.92/32.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1))),
% 49.92/32.40 inference(quant_inst,[status(thm)],[])).
% 49.92/32.40 tff(17877,plain,
% 49.92/32.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1)),
% 49.92/32.40 inference(modus_ponens,[status(thm)],[17876, 17875])).
% 49.92/32.40 tff(17878,plain,
% 49.92/32.40 ((~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17877, 905, 17621])).
% 49.92/32.40 tff(17879,plain,
% 49.92/32.40 ((~v84(constB140, bitIndex1)) | v84(constB141, bitIndex1)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17878, 17633])).
% 49.92/32.40 tff(17880,plain,
% 49.92/32.40 (v84(constB141, bitIndex1)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17879, 17871])).
% 49.92/32.40 tff(17881,assumption,(~v116(constB141)), introduced(assumption)).
% 49.92/32.40 tff(17882,plain,
% 49.92/32.40 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v116(constB141))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v116(constB141))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17883,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v116(constB141))),
% 49.92/32.40 inference(quant_inst,[status(thm)],[])).
% 49.92/32.40 tff(17884,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v116(constB141)),
% 49.92/32.40 inference(modus_ponens,[status(thm)],[17883, 17882])).
% 49.92/32.40 tff(17885,plain,
% 49.92/32.40 ((~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17884, 1825, 17881])).
% 49.92/32.40 tff(17886,plain,
% 49.92/32.40 ($false),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17885, 17880, 17862, 17643])).
% 49.92/32.40 tff(17887,plain,((~v115(constB139)) | v84(constB141, bitIndex2) | v116(constB141)), inference(lemma,lemma(discharge,[]))).
% 49.92/32.40 tff(17888,plain,
% 49.92/32.40 (v116(constB141)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17887, 17642, 17508])).
% 49.92/32.40 tff(17889,assumption,(v116(constB141)), introduced(assumption)).
% 49.92/32.40 tff(17890,plain,
% 49.92/32.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB141)) | v110(constB141))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB141)) | v110(constB141))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17891,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB141)) | v110(constB141))),
% 49.92/32.40 inference(quant_inst,[status(thm)],[])).
% 49.92/32.40 tff(17892,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB141)) | v110(constB141)),
% 49.92/32.40 inference(modus_ponens,[status(thm)],[17891, 17890])).
% 49.92/32.40 tff(17893,plain,
% 49.92/32.40 (v110(constB141)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17892, 1836, 17889])).
% 49.92/32.40 tff(17894,plain,
% 49.92/32.40 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB141) | (~v110(constB141)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB141) | (~v110(constB141)))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17895,plain,
% 49.92/32.40 (((~v110(constB141)) | v109(constB141)) <=> (v109(constB141) | (~v110(constB141)))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17896,plain,
% 49.92/32.40 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB141)) | v109(constB141))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB141) | (~v110(constB141))))),
% 49.92/32.40 inference(monotonicity,[status(thm)],[17895])).
% 49.92/32.40 tff(17897,plain,
% 49.92/32.40 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB141)) | v109(constB141))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB141) | (~v110(constB141)))),
% 49.92/32.40 inference(transitivity,[status(thm)],[17896, 17894])).
% 49.92/32.40 tff(17898,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB141)) | v109(constB141))),
% 49.92/32.40 inference(quant_inst,[status(thm)],[])).
% 49.92/32.40 tff(17899,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB141) | (~v110(constB141))),
% 49.92/32.40 inference(modus_ponens,[status(thm)],[17898, 17897])).
% 49.92/32.40 tff(17900,plain,
% 49.92/32.40 (v109(constB141)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17899, 306, 17893])).
% 49.92/32.40 tff(17901,plain,
% 49.92/32.40 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v109(constB141)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v109(constB141)))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17902,plain,
% 49.92/32.40 (((~v109(constB141)) | v108(constB141)) <=> (v108(constB141) | (~v109(constB141)))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17903,plain,
% 49.92/32.40 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v109(constB141))))),
% 49.92/32.40 inference(monotonicity,[status(thm)],[17902])).
% 49.92/32.40 tff(17904,plain,
% 49.92/32.40 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v109(constB141)))),
% 49.92/32.40 inference(transitivity,[status(thm)],[17903, 17901])).
% 49.92/32.40 tff(17905,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB141)) | v108(constB141))),
% 49.92/32.40 inference(quant_inst,[status(thm)],[])).
% 49.92/32.40 tff(17906,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v109(constB141))),
% 49.92/32.40 inference(modus_ponens,[status(thm)],[17905, 17904])).
% 49.92/32.40 tff(17907,plain,
% 49.92/32.40 (v108(constB141)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17906, 320, 17900])).
% 49.92/32.40 tff(17908,plain,
% 49.92/32.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB141)) | v124(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB141)) | v124(constB141, bitIndex2))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17909,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB141)) | v124(constB141, bitIndex2))),
% 49.92/32.40 inference(quant_inst,[status(thm)],[])).
% 49.92/32.40 tff(17910,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB141)) | v124(constB141, bitIndex2)),
% 49.92/32.40 inference(modus_ponens,[status(thm)],[17909, 17908])).
% 49.92/32.40 tff(17911,plain,
% 49.92/32.40 (v124(constB141, bitIndex2)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17910, 1923, 17889])).
% 49.92/32.40 tff(17912,assumption,(v26(constB141)), introduced(assumption)).
% 49.92/32.40 tff(17913,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB141))),
% 49.92/32.40 inference(quant_inst,[status(thm)],[])).
% 49.92/32.40 tff(17914,plain,
% 49.92/32.40 ($false),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17913, 55, 17912])).
% 49.92/32.40 tff(17915,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 49.92/32.40 tff(17916,plain,
% 49.92/32.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17917,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2))),
% 49.92/32.40 inference(quant_inst,[status(thm)],[])).
% 49.92/32.40 tff(17918,plain,
% 49.92/32.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2)),
% 49.92/32.40 inference(modus_ponens,[status(thm)],[17917, 17916])).
% 49.92/32.40 tff(17919,plain,
% 49.92/32.40 ((~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17918, 374, 17915])).
% 49.92/32.40 tff(17920,plain,
% 49.92/32.40 (v121(constB141, bitIndex2)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17919, 17911])).
% 49.92/32.40 tff(17921,plain,
% 49.92/32.40 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17922,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 49.92/32.40 tff(17923,plain,
% 49.92/32.40 (nextState(constB141, constB142)),
% 49.92/32.40 inference(modus_ponens,[status(thm)],[17922, 17921])).
% 49.92/32.40 tff(17924,plain,
% 49.92/32.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17925,plain,
% 49.92/32.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2))),
% 49.92/32.40 inference(quant_inst,[status(thm)],[])).
% 49.92/32.40 tff(17926,plain,
% 49.92/32.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2)),
% 49.92/32.40 inference(modus_ponens,[status(thm)],[17925, 17924])).
% 49.92/32.40 tff(17927,plain,
% 49.92/32.40 ((~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17926, 389, 17923])).
% 49.92/32.40 tff(17928,plain,
% 49.92/32.40 (v123(constB142, bitIndex2)),
% 49.92/32.40 inference(unit_resolution,[status(thm)],[17927, 17920])).
% 49.92/32.40 tff(17929,assumption,(~v84(constB142, bitIndex2)), introduced(assumption)).
% 49.92/32.40 tff(17930,plain,
% 49.92/32.40 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17931,plain,
% 49.92/32.40 ((v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2))) <=> (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))),
% 49.92/32.40 inference(rewrite,[status(thm)],[])).
% 49.92/32.40 tff(17932,plain,
% 49.92/32.40 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142))))),
% 49.92/32.40 inference(monotonicity,[status(thm)],[17931])).
% 49.92/32.40 tff(17933,plain,
% 49.92/32.40 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))),
% 49.92/32.41 inference(transitivity,[status(thm)],[17932, 17930])).
% 49.92/32.41 tff(17934,plain,
% 49.92/32.41 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2)))),
% 49.92/32.41 inference(quant_inst,[status(thm)],[])).
% 49.92/32.41 tff(17935,plain,
% 49.92/32.41 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142))),
% 49.92/32.41 inference(modus_ponens,[status(thm)],[17934, 17933])).
% 49.92/32.41 tff(17936,plain,
% 49.92/32.41 ((~v123(constB142, bitIndex2)) | (~v94(constB142))),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17935, 405, 17929])).
% 49.92/32.41 tff(17937,plain,
% 49.92/32.41 (~v94(constB142)),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17936, 17928])).
% 49.92/32.41 tff(17938,plain,
% 49.92/32.41 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17939,plain,
% 49.92/32.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))),
% 49.92/32.41 inference(quant_inst,[status(thm)],[])).
% 49.92/32.41 tff(17940,plain,
% 49.92/32.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142))),
% 49.92/32.41 inference(modus_ponens,[status(thm)],[17939, 17938])).
% 49.92/32.41 tff(17941,plain,
% 49.92/32.41 (~v98(constB142)),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17940, 423, 17923, 17618])).
% 49.92/32.41 tff(17942,plain,
% 49.92/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17943,plain,
% 49.92/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))),
% 49.92/32.41 inference(quant_inst,[status(thm)],[])).
% 49.92/32.41 tff(17944,plain,
% 49.92/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB141, constB142)) | v96(constB142) | v98(constB142)),
% 49.92/32.41 inference(modus_ponens,[status(thm)],[17943, 17942])).
% 49.92/32.41 tff(17945,plain,
% 49.92/32.41 (v96(constB142) | v98(constB142)),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17944, 437, 17923])).
% 49.92/32.41 tff(17946,plain,
% 49.92/32.41 (v96(constB142)),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17945, 17941])).
% 49.92/32.41 tff(17947,plain,
% 49.92/32.41 (v1(constB142) <=> v1(constB142)),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17948,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 49.92/32.41 tff(17949,plain,
% 49.92/32.41 (v1(constB142)),
% 49.92/32.41 inference(modus_ponens,[status(thm)],[17948, 17947])).
% 49.92/32.41 tff(17950,plain,
% 49.92/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17951,plain,
% 49.92/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))),
% 49.92/32.41 inference(quant_inst,[status(thm)],[])).
% 49.92/32.41 tff(17952,plain,
% 49.92/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142))),
% 49.92/32.41 inference(modus_ponens,[status(thm)],[17951, 17950])).
% 49.92/32.41 tff(17953,plain,
% 49.92/32.41 (v95(constB142) | (~v96(constB142))),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17952, 455, 17923, 17949])).
% 49.92/32.41 tff(17954,plain,
% 49.92/32.41 (v95(constB142)),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17953, 17946])).
% 49.92/32.41 tff(17955,plain,
% 49.92/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17956,plain,
% 49.92/32.41 (((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142)) <=> ((~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17957,plain,
% 49.92/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142))))),
% 49.92/32.41 inference(monotonicity,[status(thm)],[17956])).
% 49.92/32.41 tff(17958,plain,
% 49.92/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))),
% 49.92/32.41 inference(transitivity,[status(thm)],[17957, 17955])).
% 49.92/32.41 tff(17959,plain,
% 49.92/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))),
% 49.92/32.41 inference(quant_inst,[status(thm)],[])).
% 49.92/32.41 tff(17960,plain,
% 49.92/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142))),
% 49.92/32.41 inference(modus_ponens,[status(thm)],[17959, 17958])).
% 49.92/32.41 tff(17961,plain,
% 49.92/32.41 (v94(constB142) | (~v95(constB142)) | (~v104(constB142))),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17960, 470, 17923])).
% 49.92/32.41 tff(17962,plain,
% 49.92/32.41 (v94(constB142) | (~v104(constB142))),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17961, 17954])).
% 49.92/32.41 tff(17963,plain,
% 49.92/32.41 (~v104(constB142)),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17962, 17937])).
% 49.92/32.41 tff(17964,plain,
% 49.92/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17965,plain,
% 49.92/32.41 (((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142)) <=> ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17966,plain,
% 49.92/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141))))),
% 49.92/32.41 inference(monotonicity,[status(thm)],[17965])).
% 49.92/32.41 tff(17967,plain,
% 49.92/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 49.92/32.41 inference(transitivity,[status(thm)],[17966, 17964])).
% 49.92/32.41 tff(17968,plain,
% 49.92/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))),
% 49.92/32.41 inference(quant_inst,[status(thm)],[])).
% 49.92/32.41 tff(17969,plain,
% 49.92/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141))),
% 49.92/32.41 inference(modus_ponens,[status(thm)],[17968, 17967])).
% 49.92/32.41 tff(17970,plain,
% 49.92/32.41 (v104(constB142) | (~v102(constB141))),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17969, 489, 17923])).
% 49.92/32.41 tff(17971,plain,
% 49.92/32.41 (~v102(constB141)),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17970, 17963])).
% 49.92/32.41 tff(17972,plain,
% 49.92/32.41 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB141) | (~v106(constB141)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB141) | (~v106(constB141)))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17973,plain,
% 49.92/32.41 (((~v106(constB141)) | v102(constB141)) <=> (v102(constB141) | (~v106(constB141)))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17974,plain,
% 49.92/32.41 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB141)) | v102(constB141))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB141) | (~v106(constB141))))),
% 49.92/32.41 inference(monotonicity,[status(thm)],[17973])).
% 49.92/32.41 tff(17975,plain,
% 49.92/32.41 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB141)) | v102(constB141))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB141) | (~v106(constB141)))),
% 49.92/32.41 inference(transitivity,[status(thm)],[17974, 17972])).
% 49.92/32.41 tff(17976,plain,
% 49.92/32.41 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB141)) | v102(constB141))),
% 49.92/32.41 inference(quant_inst,[status(thm)],[])).
% 49.92/32.41 tff(17977,plain,
% 49.92/32.41 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB141) | (~v106(constB141))),
% 49.92/32.41 inference(modus_ponens,[status(thm)],[17976, 17975])).
% 49.92/32.41 tff(17978,plain,
% 49.92/32.41 (~v106(constB141)),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17977, 504, 17971])).
% 49.92/32.41 tff(17979,plain,
% 49.92/32.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | (~v107(constB141)) | v106(constB141))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB141) | (~v107(constB141)) | v106(constB141))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17980,plain,
% 49.92/32.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | (~v107(constB141)) | v106(constB141))),
% 49.92/32.41 inference(quant_inst,[status(thm)],[])).
% 49.92/32.41 tff(17981,plain,
% 49.92/32.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB141) | (~v107(constB141)) | v106(constB141)),
% 49.92/32.41 inference(modus_ponens,[status(thm)],[17980, 17979])).
% 49.92/32.41 tff(17982,plain,
% 49.92/32.41 ((~v107(constB141)) | v106(constB141)),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17981, 348, 17915])).
% 49.92/32.41 tff(17983,plain,
% 49.92/32.41 (~v107(constB141)),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17982, 17978])).
% 49.92/32.41 tff(17984,plain,
% 49.92/32.41 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB141)) | v107(constB141))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB141)) | v107(constB141))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17985,plain,
% 49.92/32.41 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB141)) | v107(constB141))),
% 49.92/32.41 inference(quant_inst,[status(thm)],[])).
% 49.92/32.41 tff(17986,plain,
% 49.92/32.41 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB141)) | v107(constB141)),
% 49.92/32.41 inference(modus_ponens,[status(thm)],[17985, 17984])).
% 49.92/32.41 tff(17987,plain,
% 49.92/32.41 ($false),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17986, 334, 17983, 17907])).
% 49.92/32.41 tff(17988,plain,((~v116(constB141)) | v84(constB142, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.92/32.41 tff(17989,plain,
% 49.92/32.41 (v84(constB142, bitIndex2)),
% 49.92/32.41 inference(unit_resolution,[status(thm)],[17988, 17888])).
% 49.92/32.41 tff(17990,plain,
% 49.92/32.41 ((~v1(constB143)) <=> (~v1(constB143))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17991,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 49.92/32.41 tff(17992,plain,
% 49.92/32.41 (~v1(constB143)),
% 49.92/32.41 inference(modus_ponens,[status(thm)],[17991, 17990])).
% 49.92/32.41 tff(17993,plain,
% 49.92/32.41 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17994,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 49.92/32.41 tff(17995,plain,
% 49.92/32.41 (nextState(constB142, constB143)),
% 49.92/32.41 inference(modus_ponens,[status(thm)],[17994, 17993])).
% 49.92/32.41 tff(17996,plain,
% 49.92/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17997,plain,
% 49.92/32.41 (((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 49.92/32.41 inference(rewrite,[status(thm)],[])).
% 49.92/32.41 tff(17998,plain,
% 49.92/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143))))),
% 49.92/32.41 inference(monotonicity,[status(thm)],[17997])).
% 49.92/32.41 tff(17999,plain,
% 49.92/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 49.92/32.41 inference(transitivity,[status(thm)],[17998, 17996])).
% 49.92/32.41 tff(18000,plain,
% 49.92/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))),
% 49.92/32.41 inference(quant_inst,[status(thm)],[])).
% 49.92/32.41 tff(18001,plain,
% 49.92/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143))),
% 49.92/32.42 inference(modus_ponens,[status(thm)],[18000, 17999])).
% 49.92/32.42 tff(18002,plain,
% 49.92/32.42 (~v95(constB143)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18001, 110, 17995, 17992])).
% 49.92/32.42 tff(18003,plain,
% 49.92/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18004,plain,
% 49.92/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))),
% 49.92/32.42 inference(quant_inst,[status(thm)],[])).
% 49.92/32.42 tff(18005,plain,
% 49.92/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143))),
% 49.92/32.42 inference(modus_ponens,[status(thm)],[18004, 18003])).
% 49.92/32.42 tff(18006,plain,
% 49.92/32.42 (v95(constB143) | (~v94(constB143))),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18005, 127, 17995])).
% 49.92/32.42 tff(18007,plain,
% 49.92/32.42 (~v94(constB143)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18006, 18002])).
% 49.92/32.42 tff(18008,plain,
% 49.92/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18009,plain,
% 49.92/32.42 (((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2)) <=> ((~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18010,plain,
% 49.92/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2)))),
% 49.92/32.42 inference(monotonicity,[status(thm)],[18009])).
% 49.92/32.42 tff(18011,plain,
% 49.92/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))),
% 49.92/32.42 inference(transitivity,[status(thm)],[18010, 18008])).
% 49.92/32.42 tff(18012,plain,
% 49.92/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2))),
% 49.92/32.42 inference(quant_inst,[status(thm)],[])).
% 49.92/32.42 tff(18013,plain,
% 49.92/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2)),
% 49.92/32.42 inference(modus_ponens,[status(thm)],[18012, 18011])).
% 49.92/32.42 tff(18014,plain,
% 49.92/32.42 ((~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18013, 576, 17995])).
% 49.92/32.42 tff(18015,plain,
% 49.92/32.42 ((~v84(constB142, bitIndex2)) | v84(constB143, bitIndex2)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18014, 18007])).
% 49.92/32.42 tff(18016,plain,
% 49.92/32.42 (v84(constB143, bitIndex2)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18015, 17989])).
% 49.92/32.42 tff(18017,plain,
% 49.92/32.42 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB143)) | (~v84(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB143)) | (~v84(constB143, bitIndex2)))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18018,plain,
% 49.92/32.42 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB143)) | (~v84(constB143, bitIndex2)))),
% 49.92/32.42 inference(quant_inst,[status(thm)],[])).
% 49.92/32.42 tff(18019,plain,
% 49.92/32.42 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB143)) | (~v84(constB143, bitIndex2))),
% 49.92/32.42 inference(modus_ponens,[status(thm)],[18018, 18017])).
% 49.92/32.42 tff(18020,plain,
% 49.92/32.42 (~v145(constB143)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18019, 4483, 18016])).
% 49.92/32.42 tff(18021,plain,
% 49.92/32.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB143)) | (~v84(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB143)) | (~v84(constB143, bitIndex2)))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18022,plain,
% 49.92/32.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB143)) | (~v84(constB143, bitIndex2)))),
% 49.92/32.42 inference(quant_inst,[status(thm)],[])).
% 49.92/32.42 tff(18023,plain,
% 49.92/32.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB143)) | (~v84(constB143, bitIndex2))),
% 49.92/32.42 inference(modus_ponens,[status(thm)],[18022, 18021])).
% 49.92/32.42 tff(18024,plain,
% 49.92/32.42 (~v115(constB143)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18023, 1036, 18016])).
% 49.92/32.42 tff(18025,assumption,(v84(constB142, bitIndex2)), introduced(assumption)).
% 49.92/32.42 tff(18026,plain,
% 49.92/32.42 (~v84(constB141, bitIndex2)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[17641, 17678])).
% 49.92/32.42 tff(18027,plain,
% 49.92/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex2)))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18028,plain,
% 49.92/32.42 (((~nextState(constB141, constB142)) | v84(constB141, bitIndex2) | v94(constB142) | (~v84(constB142, bitIndex2))) <=> (v84(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex2)))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18029,plain,
% 49.92/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v84(constB141, bitIndex2) | v94(constB142) | (~v84(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex2))))),
% 49.92/32.42 inference(monotonicity,[status(thm)],[18028])).
% 49.92/32.42 tff(18030,plain,
% 49.92/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v84(constB141, bitIndex2) | v94(constB142) | (~v84(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex2)))),
% 49.92/32.42 inference(transitivity,[status(thm)],[18029, 18027])).
% 49.92/32.42 tff(18031,plain,
% 49.92/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v84(constB141, bitIndex2) | v94(constB142) | (~v84(constB142, bitIndex2)))),
% 49.92/32.42 inference(quant_inst,[status(thm)],[])).
% 49.92/32.42 tff(18032,plain,
% 49.92/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex2))),
% 49.92/32.42 inference(modus_ponens,[status(thm)],[18031, 18030])).
% 49.92/32.42 tff(18033,plain,
% 49.92/32.42 (v84(constB141, bitIndex2) | v94(constB142) | (~v84(constB142, bitIndex2))),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18032, 142, 17923])).
% 49.92/32.42 tff(18034,plain,
% 49.92/32.42 (v94(constB142)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18033, 18026, 18025])).
% 49.92/32.42 tff(18035,plain,
% 49.92/32.42 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2) | (~v94(constB142)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2) | (~v94(constB142)))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18036,plain,
% 49.92/32.42 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2) | (~v94(constB142)))),
% 49.92/32.42 inference(quant_inst,[status(thm)],[])).
% 49.92/32.42 tff(18037,plain,
% 49.92/32.42 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2) | (~v94(constB142))),
% 49.92/32.42 inference(modus_ponens,[status(thm)],[18036, 18035])).
% 49.92/32.42 tff(18038,plain,
% 49.92/32.42 (v123(constB142, bitIndex2) | (~v94(constB142))),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18037, 1220, 18025])).
% 49.92/32.42 tff(18039,plain,
% 49.92/32.42 (v123(constB142, bitIndex2)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18038, 18034])).
% 49.92/32.42 tff(18040,plain,
% 49.92/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex2) | (~v123(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex2) | (~v123(constB142, bitIndex2)))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18041,plain,
% 49.92/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex2) | (~v123(constB142, bitIndex2)))),
% 49.92/32.42 inference(quant_inst,[status(thm)],[])).
% 49.92/32.42 tff(18042,plain,
% 49.92/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex2) | (~v123(constB142, bitIndex2))),
% 49.92/32.42 inference(modus_ponens,[status(thm)],[18041, 18040])).
% 49.92/32.42 tff(18043,plain,
% 49.92/32.42 (v121(constB141, bitIndex2) | (~v123(constB142, bitIndex2))),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18042, 1205, 17923])).
% 49.92/32.42 tff(18044,plain,
% 49.92/32.42 (v121(constB141, bitIndex2)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18043, 18039])).
% 49.92/32.42 tff(18045,plain,
% 49.92/32.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB141, bitIndex2)) | v26(constB141) | v124(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB141, bitIndex2)) | v26(constB141) | v124(constB141, bitIndex2))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18046,plain,
% 49.92/32.42 ((v26(constB141) | v124(constB141, bitIndex2) | (~v121(constB141, bitIndex2))) <=> ((~v121(constB141, bitIndex2)) | v26(constB141) | v124(constB141, bitIndex2))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18047,plain,
% 49.92/32.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB141) | v124(constB141, bitIndex2) | (~v121(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB141, bitIndex2)) | v26(constB141) | v124(constB141, bitIndex2)))),
% 49.92/32.42 inference(monotonicity,[status(thm)],[18046])).
% 49.92/32.42 tff(18048,plain,
% 49.92/32.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB141) | v124(constB141, bitIndex2) | (~v121(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB141, bitIndex2)) | v26(constB141) | v124(constB141, bitIndex2))),
% 49.92/32.42 inference(transitivity,[status(thm)],[18047, 18045])).
% 49.92/32.42 tff(18049,plain,
% 49.92/32.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB141) | v124(constB141, bitIndex2) | (~v121(constB141, bitIndex2)))),
% 49.92/32.42 inference(quant_inst,[status(thm)],[])).
% 49.92/32.42 tff(18050,plain,
% 49.92/32.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB141, bitIndex2)) | v26(constB141) | v124(constB141, bitIndex2)),
% 49.92/32.42 inference(modus_ponens,[status(thm)],[18049, 18048])).
% 49.92/32.42 tff(18051,plain,
% 49.92/32.42 ((~v121(constB141, bitIndex2)) | v124(constB141, bitIndex2)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18050, 1187, 17915])).
% 49.92/32.42 tff(18052,plain,
% 49.92/32.42 (v124(constB141, bitIndex2)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18051, 18044])).
% 49.92/32.42 tff(18053,plain,
% 49.92/32.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB141)) | (~v124(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB141)) | (~v124(constB141, bitIndex2)))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18054,plain,
% 49.92/32.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB141)) | (~v124(constB141, bitIndex2)))),
% 49.92/32.42 inference(quant_inst,[status(thm)],[])).
% 49.92/32.42 tff(18055,plain,
% 49.92/32.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB141)) | (~v124(constB141, bitIndex2))),
% 49.92/32.42 inference(modus_ponens,[status(thm)],[18054, 18053])).
% 49.92/32.42 tff(18056,plain,
% 49.92/32.42 (~v115(constB141)),
% 49.92/32.42 inference(unit_resolution,[status(thm)],[18055, 1690, 18052])).
% 49.92/32.42 tff(18057,assumption,(v84(constB142, bitIndex0)), introduced(assumption)).
% 49.92/32.42 tff(18058,plain,
% 49.92/32.42 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142)))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18059,plain,
% 49.92/32.42 (((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0)) <=> ((~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142)))),
% 49.92/32.42 inference(rewrite,[status(thm)],[])).
% 49.92/32.42 tff(18060,plain,
% 49.92/32.42 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142))))),
% 49.92/32.43 inference(monotonicity,[status(thm)],[18059])).
% 49.92/32.43 tff(18061,plain,
% 49.92/32.43 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142)))),
% 49.92/32.43 inference(transitivity,[status(thm)],[18060, 18058])).
% 49.92/32.43 tff(18062,plain,
% 49.92/32.43 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0))),
% 49.92/32.43 inference(quant_inst,[status(thm)],[])).
% 49.92/32.43 tff(18063,plain,
% 49.92/32.43 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142))),
% 49.92/32.43 inference(modus_ponens,[status(thm)],[18062, 18061])).
% 49.92/32.43 tff(18064,plain,
% 49.92/32.43 (v123(constB142, bitIndex0) | (~v94(constB142))),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18063, 652, 18057])).
% 49.92/32.43 tff(18065,plain,
% 49.92/32.43 (v123(constB142, bitIndex0)),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18064, 18034])).
% 49.92/32.43 tff(18066,plain,
% 49.92/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0)))),
% 49.92/32.43 inference(rewrite,[status(thm)],[])).
% 49.92/32.43 tff(18067,plain,
% 49.92/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0)))),
% 49.92/32.43 inference(quant_inst,[status(thm)],[])).
% 49.92/32.43 tff(18068,plain,
% 49.92/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0))),
% 49.92/32.43 inference(modus_ponens,[status(thm)],[18067, 18066])).
% 49.92/32.43 tff(18069,plain,
% 49.92/32.43 (v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0))),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18068, 637, 17923])).
% 49.92/32.43 tff(18070,plain,
% 49.92/32.43 (v121(constB141, bitIndex0)),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18069, 18065])).
% 49.92/32.43 tff(18071,plain,
% 49.92/32.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0))),
% 49.92/32.43 inference(rewrite,[status(thm)],[])).
% 49.92/32.43 tff(18072,plain,
% 49.92/32.43 ((v26(constB141) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0))) <=> ((~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0))),
% 49.92/32.43 inference(rewrite,[status(thm)],[])).
% 49.92/32.43 tff(18073,plain,
% 49.92/32.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB141) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0)))),
% 49.92/32.43 inference(monotonicity,[status(thm)],[18072])).
% 49.92/32.43 tff(18074,plain,
% 49.92/32.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB141) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0))),
% 49.92/32.43 inference(transitivity,[status(thm)],[18073, 18071])).
% 49.92/32.43 tff(18075,plain,
% 49.92/32.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB141) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0)))),
% 49.92/32.43 inference(quant_inst,[status(thm)],[])).
% 49.92/32.43 tff(18076,plain,
% 49.92/32.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0)),
% 49.92/32.43 inference(modus_ponens,[status(thm)],[18075, 18074])).
% 49.92/32.43 tff(18077,plain,
% 49.92/32.43 ((~v121(constB141, bitIndex0)) | v124(constB141, bitIndex0)),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18076, 607, 17915])).
% 49.92/32.43 tff(18078,plain,
% 49.92/32.43 (v124(constB141, bitIndex0)),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18077, 18070])).
% 49.92/32.43 tff(18079,plain,
% 49.92/32.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB141)) | (~v124(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB141)) | (~v124(constB141, bitIndex0)))),
% 49.92/32.43 inference(rewrite,[status(thm)],[])).
% 49.92/32.43 tff(18080,plain,
% 49.92/32.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB141)) | (~v124(constB141, bitIndex0)))),
% 49.92/32.43 inference(quant_inst,[status(thm)],[])).
% 49.92/32.43 tff(18081,plain,
% 49.92/32.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB141)) | (~v124(constB141, bitIndex0))),
% 49.92/32.43 inference(modus_ponens,[status(thm)],[18080, 18079])).
% 49.92/32.43 tff(18082,plain,
% 49.92/32.43 (~v116(constB141)),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18081, 2020, 18078])).
% 49.92/32.43 tff(18083,assumption,(~v145(constB143)), introduced(assumption)).
% 49.92/32.43 tff(18084,assumption,(~v115(constB143)), introduced(assumption)).
% 49.92/32.43 tff(18085,plain,
% 49.92/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1)))),
% 49.92/32.43 inference(rewrite,[status(thm)],[])).
% 49.92/32.43 tff(18086,plain,
% 49.92/32.43 (((~nextState(constB140, constB141)) | v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1))) <=> (v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1)))),
% 49.92/32.43 inference(rewrite,[status(thm)],[])).
% 49.92/32.43 tff(18087,plain,
% 49.92/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1))))),
% 49.92/32.43 inference(monotonicity,[status(thm)],[18086])).
% 49.92/32.43 tff(18088,plain,
% 49.92/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1)))),
% 49.92/32.43 inference(transitivity,[status(thm)],[18087, 18085])).
% 49.92/32.43 tff(18089,plain,
% 49.92/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1)))),
% 49.92/32.43 inference(quant_inst,[status(thm)],[])).
% 49.92/32.43 tff(18090,plain,
% 49.92/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1))),
% 49.92/32.43 inference(modus_ponens,[status(thm)],[18089, 18088])).
% 49.92/32.43 tff(18091,plain,
% 49.92/32.43 (v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1))),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18090, 163, 17621])).
% 49.92/32.43 tff(18092,plain,
% 49.92/32.43 (v84(constB140, bitIndex1) | (~v84(constB141, bitIndex1))),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18091, 17633])).
% 49.92/32.43 tff(18093,plain,
% 49.92/32.43 (~v84(constB141, bitIndex1)),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18092, 17679])).
% 49.92/32.43 tff(18094,plain,
% 49.92/32.43 (v84(constB141, bitIndex0)),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[17861, 17806])).
% 49.92/32.43 tff(18095,plain,
% 49.92/32.43 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v145(constB141))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v145(constB141))),
% 49.92/32.43 inference(rewrite,[status(thm)],[])).
% 49.92/32.43 tff(18096,plain,
% 49.92/32.43 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v145(constB141))),
% 49.92/32.43 inference(quant_inst,[status(thm)],[])).
% 49.92/32.43 tff(18097,plain,
% 49.92/32.43 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v145(constB141)),
% 49.92/32.43 inference(modus_ponens,[status(thm)],[18096, 18095])).
% 49.92/32.43 tff(18098,plain,
% 49.92/32.43 ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v145(constB141)),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18097, 1268, 18026])).
% 49.92/32.43 tff(18099,plain,
% 49.92/32.43 (v145(constB141)),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18098, 18094, 18093])).
% 49.92/32.43 tff(18100,plain,
% 49.92/32.43 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB141)) | (~v124(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB141)) | (~v124(constB141, bitIndex2)))),
% 49.92/32.43 inference(rewrite,[status(thm)],[])).
% 49.92/32.43 tff(18101,plain,
% 49.92/32.43 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB141)) | (~v124(constB141, bitIndex2)))),
% 49.92/32.43 inference(quant_inst,[status(thm)],[])).
% 49.92/32.43 tff(18102,plain,
% 49.92/32.43 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB141)) | (~v124(constB141, bitIndex2))),
% 49.92/32.43 inference(modus_ponens,[status(thm)],[18101, 18100])).
% 49.92/32.43 tff(18103,plain,
% 49.92/32.43 (~v124(constB141, bitIndex2)),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18102, 1456, 18099])).
% 49.92/32.43 tff(18104,plain,
% 49.92/32.43 (~v121(constB141, bitIndex2)),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18051, 18103])).
% 49.92/32.43 tff(18105,plain,
% 49.92/32.43 (~v123(constB142, bitIndex2)),
% 49.92/32.43 inference(unit_resolution,[status(thm)],[18043, 18104])).
% 49.92/32.43 tff(18106,assumption,(~v94(constB142)), introduced(assumption)).
% 49.92/32.43 tff(18107,plain,
% 49.92/32.44 (~v84(constB142, bitIndex2)),
% 49.92/32.44 inference(unit_resolution,[status(thm)],[18033, 18106, 17643])).
% 49.92/32.44 tff(18108,plain,
% 49.92/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex2)))),
% 49.92/32.44 inference(rewrite,[status(thm)],[])).
% 49.92/32.44 tff(18109,plain,
% 49.92/32.44 (((~nextState(constB142, constB143)) | v84(constB142, bitIndex2) | v94(constB143) | (~v84(constB143, bitIndex2))) <=> (v84(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex2)))),
% 49.92/32.44 inference(rewrite,[status(thm)],[])).
% 49.92/32.44 tff(18110,plain,
% 49.92/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex2) | v94(constB143) | (~v84(constB143, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex2))))),
% 49.92/32.44 inference(monotonicity,[status(thm)],[18109])).
% 49.92/32.44 tff(18111,plain,
% 49.92/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex2) | v94(constB143) | (~v84(constB143, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex2)))),
% 49.92/32.44 inference(transitivity,[status(thm)],[18110, 18108])).
% 49.92/32.44 tff(18112,plain,
% 49.92/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex2) | v94(constB143) | (~v84(constB143, bitIndex2)))),
% 49.92/32.44 inference(quant_inst,[status(thm)],[])).
% 49.92/32.44 tff(18113,plain,
% 49.92/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex2))),
% 49.92/32.44 inference(modus_ponens,[status(thm)],[18112, 18111])).
% 49.92/32.44 tff(18114,plain,
% 49.92/32.44 (v84(constB142, bitIndex2) | v94(constB143) | (~v84(constB143, bitIndex2))),
% 49.92/32.44 inference(unit_resolution,[status(thm)],[18113, 142, 17995])).
% 49.92/32.44 tff(18115,plain,
% 49.92/32.44 (v84(constB142, bitIndex2) | (~v84(constB143, bitIndex2))),
% 49.92/32.44 inference(unit_resolution,[status(thm)],[18114, 18007])).
% 49.92/32.44 tff(18116,plain,
% 49.92/32.44 (~v84(constB143, bitIndex2)),
% 49.92/32.44 inference(unit_resolution,[status(thm)],[18115, 18107])).
% 49.92/32.44 tff(18117,assumption,(v84(constB141, bitIndex0)), introduced(assumption)).
% 49.92/32.44 tff(18118,plain,
% 49.92/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB141, bitIndex0)) | (~nextState(constB141, constB142)) | v94(constB142) | v84(constB142, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB141, bitIndex0)) | (~nextState(constB141, constB142)) | v94(constB142) | v84(constB142, bitIndex0))),
% 49.92/32.44 inference(rewrite,[status(thm)],[])).
% 49.92/32.44 tff(18119,plain,
% 49.92/32.44 (((~nextState(constB141, constB142)) | (~v84(constB141, bitIndex0)) | v94(constB142) | v84(constB142, bitIndex0)) <=> ((~v84(constB141, bitIndex0)) | (~nextState(constB141, constB142)) | v94(constB142) | v84(constB142, bitIndex0))),
% 49.92/32.44 inference(rewrite,[status(thm)],[])).
% 49.92/32.44 tff(18120,plain,
% 49.92/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v84(constB141, bitIndex0)) | v94(constB142) | v84(constB142, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB141, bitIndex0)) | (~nextState(constB141, constB142)) | v94(constB142) | v84(constB142, bitIndex0)))),
% 49.92/32.44 inference(monotonicity,[status(thm)],[18119])).
% 49.92/32.44 tff(18121,plain,
% 49.92/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v84(constB141, bitIndex0)) | v94(constB142) | v84(constB142, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB141, bitIndex0)) | (~nextState(constB141, constB142)) | v94(constB142) | v84(constB142, bitIndex0))),
% 49.92/32.44 inference(transitivity,[status(thm)],[18120, 18118])).
% 49.92/32.44 tff(18122,plain,
% 49.92/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v84(constB141, bitIndex0)) | v94(constB142) | v84(constB142, bitIndex0))),
% 49.92/32.44 inference(quant_inst,[status(thm)],[])).
% 49.92/32.44 tff(18123,plain,
% 49.92/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB141, bitIndex0)) | (~nextState(constB141, constB142)) | v94(constB142) | v84(constB142, bitIndex0)),
% 49.92/32.44 inference(modus_ponens,[status(thm)],[18122, 18121])).
% 49.92/32.44 tff(18124,plain,
% 49.92/32.44 ((~v84(constB141, bitIndex0)) | v94(constB142) | v84(constB142, bitIndex0)),
% 49.92/32.44 inference(unit_resolution,[status(thm)],[18123, 1439, 17923])).
% 49.92/32.44 tff(18125,plain,
% 49.92/32.44 (v84(constB142, bitIndex0)),
% 49.92/32.44 inference(unit_resolution,[status(thm)],[18124, 18106, 18117])).
% 49.92/32.44 tff(18126,plain,
% 49.92/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0))),
% 49.92/32.44 inference(rewrite,[status(thm)],[])).
% 49.92/32.44 tff(18127,plain,
% 49.92/32.44 (((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0)) <=> ((~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0))),
% 49.92/32.44 inference(rewrite,[status(thm)],[])).
% 49.92/32.44 tff(18128,plain,
% 49.92/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0)))),
% 49.92/32.44 inference(monotonicity,[status(thm)],[18127])).
% 49.92/32.44 tff(18129,plain,
% 49.92/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0))),
% 49.92/32.44 inference(transitivity,[status(thm)],[18128, 18126])).
% 49.92/32.44 tff(18130,plain,
% 49.92/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0))),
% 49.92/32.44 inference(quant_inst,[status(thm)],[])).
% 49.92/32.44 tff(18131,plain,
% 49.92/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0)),
% 49.92/32.44 inference(modus_ponens,[status(thm)],[18130, 18129])).
% 49.92/32.44 tff(18132,plain,
% 49.92/32.44 ((~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0)),
% 49.92/32.44 inference(unit_resolution,[status(thm)],[18131, 1439, 17995])).
% 49.92/32.44 tff(18133,plain,
% 49.92/32.44 ((~v84(constB142, bitIndex0)) | v84(constB143, bitIndex0)),
% 49.92/32.44 inference(unit_resolution,[status(thm)],[18132, 18007])).
% 49.92/32.44 tff(18134,plain,
% 49.92/32.44 (v84(constB143, bitIndex0)),
% 49.92/32.44 inference(unit_resolution,[status(thm)],[18133, 18125])).
% 49.92/32.44 tff(18135,assumption,(~v84(constB141, bitIndex1)), introduced(assumption)).
% 49.92/32.44 tff(18136,plain,
% 49.92/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex1)))),
% 49.92/32.44 inference(rewrite,[status(thm)],[])).
% 49.92/32.44 tff(18137,plain,
% 49.92/32.44 (((~nextState(constB141, constB142)) | v84(constB141, bitIndex1) | v94(constB142) | (~v84(constB142, bitIndex1))) <=> (v84(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex1)))),
% 49.92/32.44 inference(rewrite,[status(thm)],[])).
% 49.92/32.44 tff(18138,plain,
% 49.92/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v84(constB141, bitIndex1) | v94(constB142) | (~v84(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex1))))),
% 49.92/32.44 inference(monotonicity,[status(thm)],[18137])).
% 49.92/32.44 tff(18139,plain,
% 49.92/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v84(constB141, bitIndex1) | v94(constB142) | (~v84(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex1)))),
% 49.92/32.44 inference(transitivity,[status(thm)],[18138, 18136])).
% 49.92/32.44 tff(18140,plain,
% 49.92/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v84(constB141, bitIndex1) | v94(constB142) | (~v84(constB142, bitIndex1)))),
% 49.92/32.45 inference(quant_inst,[status(thm)],[])).
% 49.92/32.45 tff(18141,plain,
% 49.92/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex1))),
% 49.92/32.45 inference(modus_ponens,[status(thm)],[18140, 18139])).
% 49.92/32.45 tff(18142,plain,
% 49.92/32.45 (v84(constB141, bitIndex1) | v94(constB142) | (~v84(constB142, bitIndex1))),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18141, 163, 17923])).
% 49.92/32.45 tff(18143,plain,
% 49.92/32.45 (~v84(constB142, bitIndex1)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18142, 18106, 18135])).
% 49.92/32.45 tff(18144,plain,
% 49.92/32.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 49.92/32.45 inference(rewrite,[status(thm)],[])).
% 49.92/32.45 tff(18145,plain,
% 49.92/32.45 (((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1))) <=> (v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 49.92/32.45 inference(rewrite,[status(thm)],[])).
% 49.92/32.45 tff(18146,plain,
% 49.92/32.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1))))),
% 49.92/32.45 inference(monotonicity,[status(thm)],[18145])).
% 49.92/32.45 tff(18147,plain,
% 49.92/32.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 49.92/32.45 inference(transitivity,[status(thm)],[18146, 18144])).
% 49.92/32.45 tff(18148,plain,
% 49.92/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 49.92/32.45 inference(quant_inst,[status(thm)],[])).
% 49.92/32.45 tff(18149,plain,
% 49.92/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1))),
% 49.92/32.45 inference(modus_ponens,[status(thm)],[18148, 18147])).
% 49.92/32.45 tff(18150,plain,
% 49.92/32.45 (v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1))),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18149, 163, 17995])).
% 49.92/32.45 tff(18151,plain,
% 49.92/32.45 (v84(constB142, bitIndex1) | (~v84(constB143, bitIndex1))),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18150, 18007])).
% 49.92/32.45 tff(18152,plain,
% 49.92/32.45 (~v84(constB143, bitIndex1)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18151, 18143])).
% 49.92/32.45 tff(18153,plain,
% 49.92/32.45 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v145(constB143))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v145(constB143))),
% 49.92/32.45 inference(rewrite,[status(thm)],[])).
% 49.92/32.45 tff(18154,plain,
% 49.92/32.45 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v145(constB143))),
% 49.92/32.45 inference(quant_inst,[status(thm)],[])).
% 49.92/32.45 tff(18155,plain,
% 49.92/32.45 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v145(constB143)),
% 49.92/32.45 inference(modus_ponens,[status(thm)],[18154, 18153])).
% 49.92/32.45 tff(18156,plain,
% 49.92/32.45 ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18155, 1268, 18083])).
% 49.92/32.45 tff(18157,plain,
% 49.92/32.45 ($false),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18156, 18152, 18134, 18116])).
% 49.92/32.45 tff(18158,plain,(v94(constB142) | v145(constB143) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 49.92/32.45 tff(18159,plain,
% 49.92/32.45 (v94(constB142)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18158, 18094, 18093, 18026, 18083])).
% 49.92/32.45 tff(18160,plain,
% 49.92/32.45 ((~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18037, 1220, 18159])).
% 49.92/32.45 tff(18161,plain,
% 49.92/32.45 (~v84(constB142, bitIndex2)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18160, 18105])).
% 49.92/32.45 tff(18162,plain,
% 49.92/32.45 (~v84(constB143, bitIndex2)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18115, 18161])).
% 49.92/32.45 tff(18163,plain,
% 49.92/32.45 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB141)) | (~v124(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB141)) | (~v124(constB141, bitIndex0)))),
% 49.92/32.45 inference(rewrite,[status(thm)],[])).
% 49.92/32.45 tff(18164,plain,
% 49.92/32.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB141)) | (~v124(constB141, bitIndex0)))),
% 49.92/32.45 inference(quant_inst,[status(thm)],[])).
% 49.92/32.45 tff(18165,plain,
% 49.92/32.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB141)) | (~v124(constB141, bitIndex0))),
% 49.92/32.45 inference(modus_ponens,[status(thm)],[18164, 18163])).
% 49.92/32.45 tff(18166,plain,
% 49.92/32.45 (~v124(constB141, bitIndex0)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18165, 1550, 18099])).
% 49.92/32.45 tff(18167,plain,
% 49.92/32.45 (~v121(constB141, bitIndex0)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18077, 18166])).
% 49.92/32.45 tff(18168,plain,
% 49.92/32.45 (~v123(constB142, bitIndex0)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18069, 18167])).
% 49.92/32.45 tff(18169,plain,
% 49.92/32.45 ((~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18063, 652, 18159])).
% 49.92/32.45 tff(18170,plain,
% 49.92/32.45 (~v84(constB142, bitIndex0)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18169, 18168])).
% 49.92/32.45 tff(18171,plain,
% 49.92/32.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0)))),
% 49.92/32.45 inference(rewrite,[status(thm)],[])).
% 49.92/32.45 tff(18172,plain,
% 49.92/32.45 (((~nextState(constB142, constB143)) | v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0))) <=> (v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0)))),
% 49.92/32.45 inference(rewrite,[status(thm)],[])).
% 49.92/32.45 tff(18173,plain,
% 49.92/32.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0))))),
% 49.92/32.45 inference(monotonicity,[status(thm)],[18172])).
% 49.92/32.45 tff(18174,plain,
% 49.92/32.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0)))),
% 49.92/32.45 inference(transitivity,[status(thm)],[18173, 18171])).
% 49.92/32.45 tff(18175,plain,
% 49.92/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0)))),
% 49.92/32.45 inference(quant_inst,[status(thm)],[])).
% 49.92/32.45 tff(18176,plain,
% 49.92/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0))),
% 49.92/32.45 inference(modus_ponens,[status(thm)],[18175, 18174])).
% 49.92/32.45 tff(18177,plain,
% 49.92/32.45 (v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0))),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18176, 184, 17995])).
% 49.92/32.45 tff(18178,plain,
% 49.92/32.45 (v84(constB142, bitIndex0) | (~v84(constB143, bitIndex0))),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18177, 18007])).
% 49.92/32.45 tff(18179,plain,
% 49.92/32.45 (~v84(constB143, bitIndex0)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18178, 18170])).
% 49.92/32.45 tff(18180,plain,
% 49.92/32.45 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB141)) | v124(constB141, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB141)) | v124(constB141, bitIndex1))),
% 49.92/32.45 inference(rewrite,[status(thm)],[])).
% 49.92/32.45 tff(18181,plain,
% 49.92/32.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB141)) | v124(constB141, bitIndex1))),
% 49.92/32.45 inference(quant_inst,[status(thm)],[])).
% 49.92/32.45 tff(18182,plain,
% 49.92/32.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB141)) | v124(constB141, bitIndex1)),
% 49.92/32.45 inference(modus_ponens,[status(thm)],[18181, 18180])).
% 49.92/32.45 tff(18183,plain,
% 49.92/32.45 (v124(constB141, bitIndex1)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18182, 1512, 18099])).
% 49.92/32.45 tff(18184,plain,
% 49.92/32.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB141) | (~v124(constB141, bitIndex1)) | v121(constB141, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB141) | (~v124(constB141, bitIndex1)) | v121(constB141, bitIndex1))),
% 49.92/32.45 inference(rewrite,[status(thm)],[])).
% 49.92/32.45 tff(18185,plain,
% 49.92/32.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB141) | (~v124(constB141, bitIndex1)) | v121(constB141, bitIndex1))),
% 49.92/32.45 inference(quant_inst,[status(thm)],[])).
% 49.92/32.45 tff(18186,plain,
% 49.92/32.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB141) | (~v124(constB141, bitIndex1)) | v121(constB141, bitIndex1)),
% 49.92/32.45 inference(modus_ponens,[status(thm)],[18185, 18184])).
% 49.92/32.45 tff(18187,plain,
% 49.92/32.45 ((~v124(constB141, bitIndex1)) | v121(constB141, bitIndex1)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18186, 857, 17915])).
% 49.92/32.45 tff(18188,plain,
% 49.92/32.45 (v121(constB141, bitIndex1)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18187, 18183])).
% 49.92/32.45 tff(18189,plain,
% 49.92/32.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex1)) | v123(constB142, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex1)) | v123(constB142, bitIndex1))),
% 49.92/32.45 inference(rewrite,[status(thm)],[])).
% 49.92/32.45 tff(18190,plain,
% 49.92/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex1)) | v123(constB142, bitIndex1))),
% 49.92/32.45 inference(quant_inst,[status(thm)],[])).
% 49.92/32.45 tff(18191,plain,
% 49.92/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex1)) | v123(constB142, bitIndex1)),
% 49.92/32.45 inference(modus_ponens,[status(thm)],[18190, 18189])).
% 49.92/32.45 tff(18192,plain,
% 49.92/32.45 ((~v121(constB141, bitIndex1)) | v123(constB142, bitIndex1)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18191, 872, 17923])).
% 49.92/32.45 tff(18193,plain,
% 49.92/32.45 (v123(constB142, bitIndex1)),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18192, 18188])).
% 49.92/32.45 tff(18194,plain,
% 49.92/32.45 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~v123(constB142, bitIndex1)) | (~v94(constB142)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~v123(constB142, bitIndex1)) | (~v94(constB142)))),
% 49.92/32.45 inference(rewrite,[status(thm)],[])).
% 49.92/32.45 tff(18195,plain,
% 49.92/32.45 ((v84(constB142, bitIndex1) | (~v94(constB142)) | (~v123(constB142, bitIndex1))) <=> (v84(constB142, bitIndex1) | (~v123(constB142, bitIndex1)) | (~v94(constB142)))),
% 49.92/32.45 inference(rewrite,[status(thm)],[])).
% 49.92/32.45 tff(18196,plain,
% 49.92/32.45 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~v94(constB142)) | (~v123(constB142, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~v123(constB142, bitIndex1)) | (~v94(constB142))))),
% 49.92/32.45 inference(monotonicity,[status(thm)],[18195])).
% 49.92/32.45 tff(18197,plain,
% 49.92/32.45 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~v94(constB142)) | (~v123(constB142, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~v123(constB142, bitIndex1)) | (~v94(constB142)))),
% 49.92/32.45 inference(transitivity,[status(thm)],[18196, 18194])).
% 49.92/32.45 tff(18198,plain,
% 49.92/32.45 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~v94(constB142)) | (~v123(constB142, bitIndex1)))),
% 49.92/32.45 inference(quant_inst,[status(thm)],[])).
% 49.92/32.45 tff(18199,plain,
% 49.92/32.45 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~v123(constB142, bitIndex1)) | (~v94(constB142))),
% 49.92/32.45 inference(modus_ponens,[status(thm)],[18198, 18197])).
% 49.92/32.45 tff(18200,plain,
% 49.92/32.45 (v84(constB142, bitIndex1) | (~v123(constB142, bitIndex1))),
% 49.92/32.45 inference(unit_resolution,[status(thm)],[18199, 887, 18159])).
% 49.99/32.46 tff(18201,plain,
% 49.99/32.46 (v84(constB142, bitIndex1)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18200, 18193])).
% 49.99/32.46 tff(18202,plain,
% 49.99/32.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex1))),
% 49.99/32.46 inference(rewrite,[status(thm)],[])).
% 49.99/32.46 tff(18203,plain,
% 49.99/32.46 (((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex1)) | v94(constB143) | v84(constB143, bitIndex1)) <=> ((~v84(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex1))),
% 49.99/32.46 inference(rewrite,[status(thm)],[])).
% 49.99/32.46 tff(18204,plain,
% 49.99/32.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex1)) | v94(constB143) | v84(constB143, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex1)))),
% 49.99/32.46 inference(monotonicity,[status(thm)],[18203])).
% 49.99/32.46 tff(18205,plain,
% 49.99/32.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex1)) | v94(constB143) | v84(constB143, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex1))),
% 49.99/32.46 inference(transitivity,[status(thm)],[18204, 18202])).
% 49.99/32.46 tff(18206,plain,
% 49.99/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex1)) | v94(constB143) | v84(constB143, bitIndex1))),
% 49.99/32.46 inference(quant_inst,[status(thm)],[])).
% 49.99/32.46 tff(18207,plain,
% 49.99/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex1)),
% 49.99/32.46 inference(modus_ponens,[status(thm)],[18206, 18205])).
% 49.99/32.46 tff(18208,plain,
% 49.99/32.46 ((~v84(constB142, bitIndex1)) | v94(constB143) | v84(constB143, bitIndex1)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18207, 905, 17995])).
% 49.99/32.46 tff(18209,plain,
% 49.99/32.46 ((~v84(constB142, bitIndex1)) | v84(constB143, bitIndex1)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18208, 18007])).
% 49.99/32.46 tff(18210,plain,
% 49.99/32.46 (v84(constB143, bitIndex1)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18209, 18201])).
% 49.99/32.46 tff(18211,plain,
% 49.99/32.46 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2) | v115(constB143))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2) | v115(constB143))),
% 49.99/32.46 inference(rewrite,[status(thm)],[])).
% 49.99/32.46 tff(18212,plain,
% 49.99/32.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2) | v115(constB143))),
% 49.99/32.46 inference(quant_inst,[status(thm)],[])).
% 49.99/32.46 tff(18213,plain,
% 49.99/32.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2) | v115(constB143)),
% 49.99/32.46 inference(modus_ponens,[status(thm)],[18212, 18211])).
% 49.99/32.46 tff(18214,plain,
% 49.99/32.46 (v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18213, 1594, 18084])).
% 49.99/32.46 tff(18215,plain,
% 49.99/32.46 ($false),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18214, 18210, 18179, 18162])).
% 49.99/32.46 tff(18216,plain,(v84(constB140, bitIndex1) | v115(constB143) | v145(constB143) | v84(constB140, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.99/32.46 tff(18217,plain,
% 49.99/32.46 (v84(constB140, bitIndex1)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18216, 17678, 18084, 18083])).
% 49.99/32.46 tff(18218,plain,
% 49.99/32.46 (v84(constB141, bitIndex1)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[17879, 18217])).
% 49.99/32.46 tff(18219,plain,
% 49.99/32.46 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB141)) | (~v84(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB141)) | (~v84(constB141, bitIndex1)))),
% 49.99/32.46 inference(rewrite,[status(thm)],[])).
% 49.99/32.46 tff(18220,plain,
% 49.99/32.46 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB141)) | (~v84(constB141, bitIndex1)))),
% 49.99/32.46 inference(quant_inst,[status(thm)],[])).
% 49.99/32.46 tff(18221,plain,
% 49.99/32.46 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB141)) | (~v84(constB141, bitIndex1))),
% 49.99/32.46 inference(modus_ponens,[status(thm)],[18220, 18219])).
% 49.99/32.46 tff(18222,plain,
% 49.99/32.46 (~v113(constB141)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18221, 1058, 18218])).
% 49.99/32.46 tff(18223,plain,
% 49.99/32.46 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB141)) | (~v84(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB141)) | (~v84(constB141, bitIndex1)))),
% 49.99/32.46 inference(rewrite,[status(thm)],[])).
% 49.99/32.46 tff(18224,plain,
% 49.99/32.46 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB141)) | (~v84(constB141, bitIndex1)))),
% 49.99/32.46 inference(quant_inst,[status(thm)],[])).
% 49.99/32.46 tff(18225,plain,
% 49.99/32.46 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB141)) | (~v84(constB141, bitIndex1))),
% 49.99/32.46 inference(modus_ponens,[status(thm)],[18224, 18223])).
% 49.99/32.46 tff(18226,plain,
% 49.99/32.46 (~v118(constB141)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18225, 1069, 18218])).
% 49.99/32.46 tff(18227,plain,
% 49.99/32.46 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB141)) | (~v84(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB141)) | (~v84(constB141, bitIndex1)))),
% 49.99/32.46 inference(rewrite,[status(thm)],[])).
% 49.99/32.46 tff(18228,plain,
% 49.99/32.46 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB141)) | (~v84(constB141, bitIndex1)))),
% 49.99/32.46 inference(quant_inst,[status(thm)],[])).
% 49.99/32.46 tff(18229,plain,
% 49.99/32.46 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB141)) | (~v84(constB141, bitIndex1))),
% 49.99/32.46 inference(modus_ponens,[status(thm)],[18228, 18227])).
% 49.99/32.46 tff(18230,plain,
% 49.99/32.46 (~v172(constB141)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18229, 1080, 18218])).
% 49.99/32.46 tff(18231,plain,
% 49.99/32.46 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB141)) | (~v84(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB141)) | (~v84(constB141, bitIndex1)))),
% 49.99/32.46 inference(rewrite,[status(thm)],[])).
% 49.99/32.46 tff(18232,plain,
% 49.99/32.46 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB141)) | (~v84(constB141, bitIndex1)))),
% 49.99/32.46 inference(quant_inst,[status(thm)],[])).
% 49.99/32.46 tff(18233,plain,
% 49.99/32.46 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB141)) | (~v84(constB141, bitIndex1))),
% 49.99/32.46 inference(modus_ponens,[status(thm)],[18232, 18231])).
% 49.99/32.46 tff(18234,plain,
% 49.99/32.46 (~v145(constB141)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18233, 1091, 18218])).
% 49.99/32.46 tff(18235,plain,
% 49.99/32.46 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB141) | v145(constB141) | v118(constB141) | v116(constB141) | v115(constB141) | v113(constB141) | (~v124(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB141) | v145(constB141) | v118(constB141) | v116(constB141) | v115(constB141) | v113(constB141) | (~v124(constB141, bitIndex2)))),
% 49.99/32.46 inference(rewrite,[status(thm)],[])).
% 49.99/32.46 tff(18236,plain,
% 49.99/32.46 ((v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~v124(constB141, bitIndex2))) <=> (v172(constB141) | v145(constB141) | v118(constB141) | v116(constB141) | v115(constB141) | v113(constB141) | (~v124(constB141, bitIndex2)))),
% 49.99/32.46 inference(rewrite,[status(thm)],[])).
% 49.99/32.46 tff(18237,plain,
% 49.99/32.46 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~v124(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB141) | v145(constB141) | v118(constB141) | v116(constB141) | v115(constB141) | v113(constB141) | (~v124(constB141, bitIndex2))))),
% 49.99/32.46 inference(monotonicity,[status(thm)],[18236])).
% 49.99/32.46 tff(18238,plain,
% 49.99/32.46 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~v124(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB141) | v145(constB141) | v118(constB141) | v116(constB141) | v115(constB141) | v113(constB141) | (~v124(constB141, bitIndex2)))),
% 49.99/32.46 inference(transitivity,[status(thm)],[18237, 18235])).
% 49.99/32.46 tff(18239,plain,
% 49.99/32.46 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~v124(constB141, bitIndex2)))),
% 49.99/32.46 inference(quant_inst,[status(thm)],[])).
% 49.99/32.46 tff(18240,plain,
% 49.99/32.46 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB141) | v145(constB141) | v118(constB141) | v116(constB141) | v115(constB141) | v113(constB141) | (~v124(constB141, bitIndex2))),
% 49.99/32.46 inference(modus_ponens,[status(thm)],[18239, 18238])).
% 49.99/32.46 tff(18241,plain,
% 49.99/32.46 (v116(constB141) | v115(constB141)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18240, 1170, 18052, 18234, 18230, 18226, 18222])).
% 49.99/32.46 tff(18242,plain,
% 49.99/32.46 ($false),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18241, 18082, 18056])).
% 49.99/32.46 tff(18243,plain,(v84(constB140, bitIndex2) | (~v84(constB142, bitIndex0)) | (~v84(constB142, bitIndex2)) | v115(constB143) | v145(constB143)), inference(lemma,lemma(discharge,[]))).
% 49.99/32.46 tff(18244,plain,
% 49.99/32.46 (~v84(constB142, bitIndex0)),
% 49.99/32.46 inference(unit_resolution,[status(thm)],[18243, 18024, 17615, 17989, 18020])).
% 49.99/32.46 tff(18245,plain,
% 49.99/32.47 (~v84(constB143, bitIndex0)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18178, 18244])).
% 49.99/32.47 tff(18246,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB141)) | (~v124(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB141)) | (~v124(constB141, bitIndex1)))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18247,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB141)) | (~v124(constB141, bitIndex1)))),
% 49.99/32.47 inference(quant_inst,[status(thm)],[])).
% 49.99/32.47 tff(18248,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB141)) | (~v124(constB141, bitIndex1))),
% 49.99/32.47 inference(modus_ponens,[status(thm)],[18247, 18246])).
% 49.99/32.47 tff(18249,plain,
% 49.99/32.47 (~v124(constB141, bitIndex1)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18248, 1979, 17888])).
% 49.99/32.47 tff(18250,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18251,plain,
% 49.99/32.47 ((v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1))) <=> ((~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18252,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1)))),
% 49.99/32.47 inference(monotonicity,[status(thm)],[18251])).
% 49.99/32.47 tff(18253,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))),
% 49.99/32.47 inference(transitivity,[status(thm)],[18252, 18250])).
% 49.99/32.47 tff(18254,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))),
% 49.99/32.47 inference(quant_inst,[status(thm)],[])).
% 49.99/32.47 tff(18255,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1)),
% 49.99/32.47 inference(modus_ponens,[status(thm)],[18254, 18253])).
% 49.99/32.47 tff(18256,plain,
% 49.99/32.47 ((~v121(constB141, bitIndex1)) | v124(constB141, bitIndex1)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18255, 233, 17915])).
% 49.99/32.47 tff(18257,plain,
% 49.99/32.47 (~v121(constB141, bitIndex1)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18256, 18249])).
% 49.99/32.47 tff(18258,plain,
% 49.99/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1)))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18259,plain,
% 49.99/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1)))),
% 49.99/32.47 inference(quant_inst,[status(thm)],[])).
% 49.99/32.47 tff(18260,plain,
% 49.99/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1))),
% 49.99/32.47 inference(modus_ponens,[status(thm)],[18259, 18258])).
% 49.99/32.47 tff(18261,plain,
% 49.99/32.47 (v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1))),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18260, 254, 17923])).
% 49.99/32.47 tff(18262,plain,
% 49.99/32.47 (~v123(constB142, bitIndex1)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18261, 18257])).
% 49.99/32.47 tff(18263,plain,
% 49.99/32.47 (v94(constB142)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18033, 17989, 17642])).
% 49.99/32.47 tff(18264,plain,
% 49.99/32.47 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18265,plain,
% 49.99/32.47 (((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1)) <=> ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18266,plain,
% 49.99/32.47 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142))))),
% 49.99/32.47 inference(monotonicity,[status(thm)],[18265])).
% 49.99/32.47 tff(18267,plain,
% 49.99/32.47 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))),
% 49.99/32.47 inference(transitivity,[status(thm)],[18266, 18264])).
% 49.99/32.47 tff(18268,plain,
% 49.99/32.47 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1))),
% 49.99/32.47 inference(quant_inst,[status(thm)],[])).
% 49.99/32.47 tff(18269,plain,
% 49.99/32.47 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142))),
% 49.99/32.47 inference(modus_ponens,[status(thm)],[18268, 18267])).
% 49.99/32.47 tff(18270,plain,
% 49.99/32.47 ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18269, 532, 18263])).
% 49.99/32.47 tff(18271,plain,
% 49.99/32.47 (~v84(constB142, bitIndex1)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18270, 18262])).
% 49.99/32.47 tff(18272,plain,
% 49.99/32.47 (~v84(constB143, bitIndex1)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18151, 18271])).
% 49.99/32.47 tff(18273,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v172(constB143))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v172(constB143))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18274,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v172(constB143))),
% 49.99/32.47 inference(quant_inst,[status(thm)],[])).
% 49.99/32.47 tff(18275,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v172(constB143)),
% 49.99/32.47 inference(modus_ponens,[status(thm)],[18274, 18273])).
% 49.99/32.47 tff(18276,plain,
% 49.99/32.47 (v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | v172(constB143)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18275, 679, 18016])).
% 49.99/32.47 tff(18277,plain,
% 49.99/32.47 (v172(constB143)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18276, 18272, 18245])).
% 49.99/32.47 tff(18278,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB143) | (~v172(constB143)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB143) | (~v172(constB143)))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18279,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB143) | (~v172(constB143)))),
% 49.99/32.47 inference(quant_inst,[status(thm)],[])).
% 49.99/32.47 tff(18280,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB143) | (~v172(constB143))),
% 49.99/32.47 inference(modus_ponens,[status(thm)],[18279, 18278])).
% 49.99/32.47 tff(18281,plain,
% 49.99/32.47 (v109(constB143)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18280, 740, 18277])).
% 49.99/32.47 tff(18282,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v109(constB143)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v109(constB143)))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18283,plain,
% 49.99/32.47 (((~v109(constB143)) | v108(constB143)) <=> (v108(constB143) | (~v109(constB143)))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18284,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v109(constB143))))),
% 49.99/32.47 inference(monotonicity,[status(thm)],[18283])).
% 49.99/32.47 tff(18285,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v109(constB143)))),
% 49.99/32.47 inference(transitivity,[status(thm)],[18284, 18282])).
% 49.99/32.47 tff(18286,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB143)) | v108(constB143))),
% 49.99/32.47 inference(quant_inst,[status(thm)],[])).
% 49.99/32.47 tff(18287,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v109(constB143))),
% 49.99/32.47 inference(modus_ponens,[status(thm)],[18286, 18285])).
% 49.99/32.47 tff(18288,plain,
% 49.99/32.47 (v108(constB143)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18287, 320, 18281])).
% 49.99/32.47 tff(18289,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB143)) | v107(constB143))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB143)) | v107(constB143))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18290,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB143)) | v107(constB143))),
% 49.99/32.47 inference(quant_inst,[status(thm)],[])).
% 49.99/32.47 tff(18291,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB143)) | v107(constB143)),
% 49.99/32.47 inference(modus_ponens,[status(thm)],[18290, 18289])).
% 49.99/32.47 tff(18292,plain,
% 49.99/32.47 (v107(constB143)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18291, 334, 18288])).
% 49.99/32.47 tff(18293,assumption,(v26(constB143)), introduced(assumption)).
% 49.99/32.47 tff(18294,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB143))),
% 49.99/32.47 inference(quant_inst,[status(thm)],[])).
% 49.99/32.47 tff(18295,plain,
% 49.99/32.47 ($false),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18294, 55, 18293])).
% 49.99/32.47 tff(18296,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 49.99/32.47 tff(18297,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | v106(constB143) | (~v107(constB143)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18298,plain,
% 49.99/32.47 ((v26(constB143) | (~v107(constB143)) | v106(constB143)) <=> (v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18299,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | v106(constB143) | (~v107(constB143))))),
% 49.99/32.47 inference(monotonicity,[status(thm)],[18298])).
% 49.99/32.47 tff(18300,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 49.99/32.47 inference(transitivity,[status(thm)],[18299, 18297])).
% 49.99/32.47 tff(18301,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))),
% 49.99/32.47 inference(quant_inst,[status(thm)],[])).
% 49.99/32.47 tff(18302,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143))),
% 49.99/32.47 inference(modus_ponens,[status(thm)],[18301, 18300])).
% 49.99/32.47 tff(18303,plain,
% 49.99/32.47 (v106(constB143) | (~v107(constB143))),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18302, 348, 18296])).
% 49.99/32.47 tff(18304,plain,
% 49.99/32.47 (v106(constB143)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18303, 18292])).
% 49.99/32.47 tff(18305,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB143) | (~v106(constB143)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB143) | (~v106(constB143)))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18306,plain,
% 49.99/32.47 (((~v106(constB143)) | v102(constB143)) <=> (v102(constB143) | (~v106(constB143)))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18307,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB143)) | v102(constB143))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB143) | (~v106(constB143))))),
% 49.99/32.47 inference(monotonicity,[status(thm)],[18306])).
% 49.99/32.47 tff(18308,plain,
% 49.99/32.47 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB143)) | v102(constB143))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB143) | (~v106(constB143)))),
% 49.99/32.47 inference(transitivity,[status(thm)],[18307, 18305])).
% 49.99/32.47 tff(18309,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB143)) | v102(constB143))),
% 49.99/32.47 inference(quant_inst,[status(thm)],[])).
% 49.99/32.47 tff(18310,plain,
% 49.99/32.47 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB143) | (~v106(constB143))),
% 49.99/32.47 inference(modus_ponens,[status(thm)],[18309, 18308])).
% 49.99/32.47 tff(18311,plain,
% 49.99/32.47 (v102(constB143)),
% 49.99/32.47 inference(unit_resolution,[status(thm)],[18310, 504, 18304])).
% 49.99/32.47 tff(18312,plain,
% 49.99/32.47 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18313,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 49.99/32.47 tff(18314,plain,
% 49.99/32.47 (nextState(constB143, constB144)),
% 49.99/32.47 inference(modus_ponens,[status(thm)],[18313, 18312])).
% 49.99/32.47 tff(18315,plain,
% 49.99/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 49.99/32.47 inference(rewrite,[status(thm)],[])).
% 49.99/32.47 tff(18316,plain,
% 49.99/32.47 (((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144)) <=> ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 50.01/32.47 inference(rewrite,[status(thm)],[])).
% 50.01/32.47 tff(18317,plain,
% 50.01/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143))))),
% 50.01/32.47 inference(monotonicity,[status(thm)],[18316])).
% 50.01/32.47 tff(18318,plain,
% 50.01/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 50.01/32.47 inference(transitivity,[status(thm)],[18317, 18315])).
% 50.01/32.47 tff(18319,plain,
% 50.01/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))),
% 50.01/32.47 inference(quant_inst,[status(thm)],[])).
% 50.01/32.47 tff(18320,plain,
% 50.01/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143))),
% 50.01/32.47 inference(modus_ponens,[status(thm)],[18319, 18318])).
% 50.01/32.47 tff(18321,plain,
% 50.01/32.47 (v104(constB144) | (~v102(constB143))),
% 50.01/32.47 inference(unit_resolution,[status(thm)],[18320, 489, 18314])).
% 50.01/32.47 tff(18322,plain,
% 50.01/32.47 (v104(constB144)),
% 50.01/32.47 inference(unit_resolution,[status(thm)],[18321, 18311])).
% 50.01/32.47 tff(18323,plain,
% 50.01/32.47 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))),
% 50.01/32.47 inference(rewrite,[status(thm)],[])).
% 50.01/32.47 tff(18324,plain,
% 50.01/32.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))),
% 50.01/32.47 inference(quant_inst,[status(thm)],[])).
% 50.01/32.47 tff(18325,plain,
% 50.01/32.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144))),
% 50.01/32.47 inference(modus_ponens,[status(thm)],[18324, 18323])).
% 50.01/32.47 tff(18326,plain,
% 50.01/32.47 (~v98(constB144)),
% 50.01/32.47 inference(unit_resolution,[status(thm)],[18325, 423, 18314, 17992])).
% 50.01/32.47 tff(18327,plain,
% 50.01/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))),
% 50.01/32.47 inference(rewrite,[status(thm)],[])).
% 50.01/32.47 tff(18328,plain,
% 50.01/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))),
% 50.01/32.47 inference(quant_inst,[status(thm)],[])).
% 50.01/32.47 tff(18329,plain,
% 50.01/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB143, constB144)) | v96(constB144) | v98(constB144)),
% 50.01/32.47 inference(modus_ponens,[status(thm)],[18328, 18327])).
% 50.01/32.47 tff(18330,plain,
% 50.01/32.47 (v96(constB144) | v98(constB144)),
% 50.01/32.47 inference(unit_resolution,[status(thm)],[18329, 437, 18314])).
% 50.01/32.47 tff(18331,plain,
% 50.01/32.47 (v96(constB144)),
% 50.01/32.47 inference(unit_resolution,[status(thm)],[18330, 18326])).
% 50.01/32.48 tff(18332,plain,
% 50.01/32.48 (v1(constB144) <=> v1(constB144)),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18333,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 50.01/32.48 tff(18334,plain,
% 50.01/32.48 (v1(constB144)),
% 50.01/32.48 inference(modus_ponens,[status(thm)],[18333, 18332])).
% 50.01/32.48 tff(18335,plain,
% 50.01/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18336,plain,
% 50.01/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))),
% 50.01/32.48 inference(quant_inst,[status(thm)],[])).
% 50.01/32.48 tff(18337,plain,
% 50.01/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144))),
% 50.01/32.48 inference(modus_ponens,[status(thm)],[18336, 18335])).
% 50.01/32.48 tff(18338,plain,
% 50.01/32.48 (v95(constB144) | (~v96(constB144))),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18337, 455, 18314, 18334])).
% 50.01/32.48 tff(18339,plain,
% 50.01/32.48 (v95(constB144)),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18338, 18331])).
% 50.01/32.48 tff(18340,plain,
% 50.01/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18341,plain,
% 50.01/32.48 (((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144)) <=> ((~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18342,plain,
% 50.01/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144))))),
% 50.01/32.48 inference(monotonicity,[status(thm)],[18341])).
% 50.01/32.48 tff(18343,plain,
% 50.01/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))),
% 50.01/32.48 inference(transitivity,[status(thm)],[18342, 18340])).
% 50.01/32.48 tff(18344,plain,
% 50.01/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))),
% 50.01/32.48 inference(quant_inst,[status(thm)],[])).
% 50.01/32.48 tff(18345,plain,
% 50.01/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144))),
% 50.01/32.48 inference(modus_ponens,[status(thm)],[18344, 18343])).
% 50.01/32.48 tff(18346,plain,
% 50.01/32.48 (v94(constB144) | (~v95(constB144)) | (~v104(constB144))),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18345, 470, 18314])).
% 50.01/32.48 tff(18347,plain,
% 50.01/32.48 (v94(constB144) | (~v104(constB144))),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18346, 18339])).
% 50.01/32.48 tff(18348,plain,
% 50.01/32.48 (v94(constB144)),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18347, 18322])).
% 50.01/32.48 tff(18349,plain,
% 50.01/32.48 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB143)) | v124(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB143)) | v124(constB143, bitIndex2))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18350,plain,
% 50.01/32.48 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB143)) | v124(constB143, bitIndex2))),
% 50.01/32.48 inference(quant_inst,[status(thm)],[])).
% 50.01/32.48 tff(18351,plain,
% 50.01/32.48 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB143)) | v124(constB143, bitIndex2)),
% 50.01/32.48 inference(modus_ponens,[status(thm)],[18350, 18349])).
% 50.01/32.48 tff(18352,plain,
% 50.01/32.48 (v124(constB143, bitIndex2)),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18351, 691, 18277])).
% 50.01/32.48 tff(18353,plain,
% 50.01/32.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18354,plain,
% 50.01/32.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2))),
% 50.01/32.48 inference(quant_inst,[status(thm)],[])).
% 50.01/32.48 tff(18355,plain,
% 50.01/32.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2)),
% 50.01/32.48 inference(modus_ponens,[status(thm)],[18354, 18353])).
% 50.01/32.48 tff(18356,plain,
% 50.01/32.48 ((~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2)),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18355, 374, 18296])).
% 50.01/32.48 tff(18357,plain,
% 50.01/32.48 (v121(constB143, bitIndex2)),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18356, 18352])).
% 50.01/32.48 tff(18358,plain,
% 50.01/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18359,plain,
% 50.01/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2))),
% 50.01/32.48 inference(quant_inst,[status(thm)],[])).
% 50.01/32.48 tff(18360,plain,
% 50.01/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2)),
% 50.01/32.48 inference(modus_ponens,[status(thm)],[18359, 18358])).
% 50.01/32.48 tff(18361,plain,
% 50.01/32.48 ((~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2)),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18360, 389, 18314])).
% 50.01/32.48 tff(18362,plain,
% 50.01/32.48 (v123(constB144, bitIndex2)),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18361, 18357])).
% 50.01/32.48 tff(18363,plain,
% 50.01/32.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18364,plain,
% 50.01/32.48 ((v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2))) <=> (v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18365,plain,
% 50.01/32.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144))))),
% 50.01/32.48 inference(monotonicity,[status(thm)],[18364])).
% 50.01/32.48 tff(18366,plain,
% 50.01/32.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))),
% 50.01/32.48 inference(transitivity,[status(thm)],[18365, 18363])).
% 50.01/32.48 tff(18367,plain,
% 50.01/32.48 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2)))),
% 50.01/32.48 inference(quant_inst,[status(thm)],[])).
% 50.01/32.48 tff(18368,plain,
% 50.01/32.48 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144))),
% 50.01/32.48 inference(modus_ponens,[status(thm)],[18367, 18366])).
% 50.01/32.48 tff(18369,plain,
% 50.01/32.48 (v84(constB144, bitIndex2) | (~v94(constB144))),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18368, 405, 18362])).
% 50.01/32.48 tff(18370,plain,
% 50.01/32.48 (v84(constB144, bitIndex2)),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18369, 18348])).
% 50.01/32.48 tff(18371,plain,
% 50.01/32.48 ((~v1(constB145)) <=> (~v1(constB145))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18372,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 50.01/32.48 tff(18373,plain,
% 50.01/32.48 (~v1(constB145)),
% 50.01/32.48 inference(modus_ponens,[status(thm)],[18372, 18371])).
% 50.01/32.48 tff(18374,plain,
% 50.01/32.48 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18375,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 50.01/32.48 tff(18376,plain,
% 50.01/32.48 (nextState(constB144, constB145)),
% 50.01/32.48 inference(modus_ponens,[status(thm)],[18375, 18374])).
% 50.01/32.48 tff(18377,plain,
% 50.01/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18378,plain,
% 50.01/32.48 (((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18379,plain,
% 50.01/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145))))),
% 50.01/32.48 inference(monotonicity,[status(thm)],[18378])).
% 50.01/32.48 tff(18380,plain,
% 50.01/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 50.01/32.48 inference(transitivity,[status(thm)],[18379, 18377])).
% 50.01/32.48 tff(18381,plain,
% 50.01/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))),
% 50.01/32.48 inference(quant_inst,[status(thm)],[])).
% 50.01/32.48 tff(18382,plain,
% 50.01/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145))),
% 50.01/32.48 inference(modus_ponens,[status(thm)],[18381, 18380])).
% 50.01/32.48 tff(18383,plain,
% 50.01/32.48 (~v95(constB145)),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18382, 110, 18376, 18373])).
% 50.01/32.48 tff(18384,plain,
% 50.01/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18385,plain,
% 50.01/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))),
% 50.01/32.48 inference(quant_inst,[status(thm)],[])).
% 50.01/32.48 tff(18386,plain,
% 50.01/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145))),
% 50.01/32.48 inference(modus_ponens,[status(thm)],[18385, 18384])).
% 50.01/32.48 tff(18387,plain,
% 50.01/32.48 (v95(constB145) | (~v94(constB145))),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18386, 127, 18376])).
% 50.01/32.48 tff(18388,plain,
% 50.01/32.48 (~v94(constB145)),
% 50.01/32.48 inference(unit_resolution,[status(thm)],[18387, 18383])).
% 50.01/32.48 tff(18389,plain,
% 50.01/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18390,plain,
% 50.01/32.48 (((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2)) <=> ((~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))),
% 50.01/32.48 inference(rewrite,[status(thm)],[])).
% 50.01/32.48 tff(18391,plain,
% 50.01/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2)))),
% 50.01/32.48 inference(monotonicity,[status(thm)],[18390])).
% 50.01/32.48 tff(18392,plain,
% 50.01/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))),
% 50.01/32.49 inference(transitivity,[status(thm)],[18391, 18389])).
% 50.01/32.49 tff(18393,plain,
% 50.01/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2))),
% 50.01/32.49 inference(quant_inst,[status(thm)],[])).
% 50.01/32.49 tff(18394,plain,
% 50.01/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2)),
% 50.01/32.49 inference(modus_ponens,[status(thm)],[18393, 18392])).
% 50.01/32.49 tff(18395,plain,
% 50.01/32.49 ((~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18394, 576, 18376])).
% 50.01/32.49 tff(18396,plain,
% 50.01/32.49 ((~v84(constB144, bitIndex2)) | v84(constB145, bitIndex2)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18395, 18388])).
% 50.01/32.49 tff(18397,plain,
% 50.01/32.49 (v84(constB145, bitIndex2)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18396, 18370])).
% 50.01/32.49 tff(18398,plain,
% 50.01/32.49 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB143)) | v124(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB143)) | v124(constB143, bitIndex1))),
% 50.01/32.49 inference(rewrite,[status(thm)],[])).
% 50.01/32.49 tff(18399,plain,
% 50.01/32.49 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB143)) | v124(constB143, bitIndex1))),
% 50.01/32.49 inference(quant_inst,[status(thm)],[])).
% 50.01/32.49 tff(18400,plain,
% 50.01/32.49 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB143)) | v124(constB143, bitIndex1)),
% 50.01/32.49 inference(modus_ponens,[status(thm)],[18399, 18398])).
% 50.01/32.49 tff(18401,plain,
% 50.01/32.49 (v124(constB143, bitIndex1)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18400, 843, 18277])).
% 50.01/32.49 tff(18402,plain,
% 50.01/32.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1))),
% 50.01/32.49 inference(rewrite,[status(thm)],[])).
% 50.01/32.49 tff(18403,plain,
% 50.01/32.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1))),
% 50.01/32.49 inference(quant_inst,[status(thm)],[])).
% 50.01/32.49 tff(18404,plain,
% 50.01/32.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1)),
% 50.01/32.49 inference(modus_ponens,[status(thm)],[18403, 18402])).
% 50.01/32.49 tff(18405,plain,
% 50.01/32.49 ((~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18404, 857, 18296])).
% 50.01/32.49 tff(18406,plain,
% 50.01/32.49 (v121(constB143, bitIndex1)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18405, 18401])).
% 50.01/32.49 tff(18407,plain,
% 50.01/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1))),
% 50.01/32.49 inference(rewrite,[status(thm)],[])).
% 50.01/32.49 tff(18408,plain,
% 50.01/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1))),
% 50.01/32.49 inference(quant_inst,[status(thm)],[])).
% 50.01/32.49 tff(18409,plain,
% 50.01/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1)),
% 50.01/32.49 inference(modus_ponens,[status(thm)],[18408, 18407])).
% 50.01/32.49 tff(18410,plain,
% 50.01/32.49 ((~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18409, 872, 18314])).
% 50.01/32.49 tff(18411,plain,
% 50.01/32.49 (v123(constB144, bitIndex1)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18410, 18406])).
% 50.01/32.49 tff(18412,plain,
% 50.01/32.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))),
% 50.01/32.49 inference(rewrite,[status(thm)],[])).
% 50.01/32.49 tff(18413,plain,
% 50.01/32.49 ((v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1))) <=> (v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))),
% 50.01/32.49 inference(rewrite,[status(thm)],[])).
% 50.01/32.49 tff(18414,plain,
% 50.01/32.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144))))),
% 50.01/32.49 inference(monotonicity,[status(thm)],[18413])).
% 50.01/32.49 tff(18415,plain,
% 50.01/32.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))),
% 50.01/32.49 inference(transitivity,[status(thm)],[18414, 18412])).
% 50.01/32.49 tff(18416,plain,
% 50.01/32.49 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1)))),
% 50.01/32.49 inference(quant_inst,[status(thm)],[])).
% 50.01/32.49 tff(18417,plain,
% 50.01/32.49 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144))),
% 50.01/32.49 inference(modus_ponens,[status(thm)],[18416, 18415])).
% 50.01/32.49 tff(18418,plain,
% 50.01/32.49 (v84(constB144, bitIndex1) | (~v94(constB144))),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18417, 887, 18411])).
% 50.01/32.49 tff(18419,plain,
% 50.01/32.49 (v84(constB144, bitIndex1)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18418, 18348])).
% 50.01/32.49 tff(18420,plain,
% 50.01/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))),
% 50.01/32.49 inference(rewrite,[status(thm)],[])).
% 50.01/32.49 tff(18421,plain,
% 50.01/32.49 (((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1)) <=> ((~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))),
% 50.01/32.49 inference(rewrite,[status(thm)],[])).
% 50.01/32.49 tff(18422,plain,
% 50.01/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1)))),
% 50.01/32.49 inference(monotonicity,[status(thm)],[18421])).
% 50.01/32.49 tff(18423,plain,
% 50.01/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))),
% 50.01/32.49 inference(transitivity,[status(thm)],[18422, 18420])).
% 50.01/32.49 tff(18424,plain,
% 50.01/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1))),
% 50.01/32.49 inference(quant_inst,[status(thm)],[])).
% 50.01/32.49 tff(18425,plain,
% 50.01/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1)),
% 50.01/32.49 inference(modus_ponens,[status(thm)],[18424, 18423])).
% 50.01/32.49 tff(18426,plain,
% 50.01/32.49 ((~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18425, 905, 18376])).
% 50.01/32.49 tff(18427,plain,
% 50.01/32.49 ((~v84(constB144, bitIndex1)) | v84(constB145, bitIndex1)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18426, 18388])).
% 50.01/32.49 tff(18428,plain,
% 50.01/32.49 (v84(constB145, bitIndex1)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18427, 18419])).
% 50.01/32.49 tff(18429,plain,
% 50.01/32.49 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB143)) | (~v124(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB143)) | (~v124(constB143, bitIndex0)))),
% 50.01/32.49 inference(rewrite,[status(thm)],[])).
% 50.01/32.49 tff(18430,plain,
% 50.01/32.49 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB143)) | (~v124(constB143, bitIndex0)))),
% 50.01/32.49 inference(quant_inst,[status(thm)],[])).
% 50.01/32.49 tff(18431,plain,
% 50.01/32.49 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB143)) | (~v124(constB143, bitIndex0))),
% 50.01/32.49 inference(modus_ponens,[status(thm)],[18430, 18429])).
% 50.01/32.49 tff(18432,plain,
% 50.01/32.49 (~v124(constB143, bitIndex0)),
% 50.01/32.49 inference(unit_resolution,[status(thm)],[18431, 921, 18277])).
% 50.01/32.49 tff(18433,plain,
% 50.01/32.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))),
% 50.01/32.49 inference(rewrite,[status(thm)],[])).
% 50.01/32.49 tff(18434,plain,
% 50.01/32.49 ((v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0))) <=> ((~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))),
% 50.01/32.49 inference(rewrite,[status(thm)],[])).
% 50.01/32.49 tff(18435,plain,
% 50.01/32.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0)))),
% 50.01/32.49 inference(monotonicity,[status(thm)],[18434])).
% 50.01/32.49 tff(18436,plain,
% 50.01/32.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))),
% 50.01/32.49 inference(transitivity,[status(thm)],[18435, 18433])).
% 50.01/32.49 tff(18437,plain,
% 50.01/32.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))),
% 50.01/32.49 inference(quant_inst,[status(thm)],[])).
% 50.01/32.49 tff(18438,plain,
% 50.01/32.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0)),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18437, 18436])).
% 50.01/32.50 tff(18439,plain,
% 50.01/32.50 ((~v121(constB143, bitIndex0)) | v124(constB143, bitIndex0)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18438, 607, 18296])).
% 50.01/32.50 tff(18440,plain,
% 50.01/32.50 (~v121(constB143, bitIndex0)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18439, 18432])).
% 50.01/32.50 tff(18441,plain,
% 50.01/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18442,plain,
% 50.01/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 50.01/32.50 inference(quant_inst,[status(thm)],[])).
% 50.01/32.50 tff(18443,plain,
% 50.01/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0))),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18442, 18441])).
% 50.01/32.50 tff(18444,plain,
% 50.01/32.50 (v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0))),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18443, 637, 18314])).
% 50.01/32.50 tff(18445,plain,
% 50.01/32.50 (~v123(constB144, bitIndex0)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18444, 18440])).
% 50.01/32.50 tff(18446,plain,
% 50.01/32.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18447,plain,
% 50.01/32.50 (((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0)) <=> ((~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18448,plain,
% 50.01/32.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144))))),
% 50.01/32.50 inference(monotonicity,[status(thm)],[18447])).
% 50.01/32.50 tff(18449,plain,
% 50.01/32.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))),
% 50.01/32.50 inference(transitivity,[status(thm)],[18448, 18446])).
% 50.01/32.50 tff(18450,plain,
% 50.01/32.50 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0))),
% 50.01/32.50 inference(quant_inst,[status(thm)],[])).
% 50.01/32.50 tff(18451,plain,
% 50.01/32.50 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144))),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18450, 18449])).
% 50.01/32.50 tff(18452,plain,
% 50.01/32.50 ((~v84(constB144, bitIndex0)) | (~v94(constB144))),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18451, 652, 18445])).
% 50.01/32.50 tff(18453,plain,
% 50.01/32.50 (~v84(constB144, bitIndex0)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18452, 18348])).
% 50.01/32.50 tff(18454,plain,
% 50.01/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18455,plain,
% 50.01/32.50 (((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0))) <=> (v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18456,plain,
% 50.01/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0))))),
% 50.01/32.50 inference(monotonicity,[status(thm)],[18455])).
% 50.01/32.50 tff(18457,plain,
% 50.01/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 50.01/32.50 inference(transitivity,[status(thm)],[18456, 18454])).
% 50.01/32.50 tff(18458,plain,
% 50.01/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 50.01/32.50 inference(quant_inst,[status(thm)],[])).
% 50.01/32.50 tff(18459,plain,
% 50.01/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0))),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18458, 18457])).
% 50.01/32.50 tff(18460,plain,
% 50.01/32.50 (v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0))),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18459, 184, 18376])).
% 50.01/32.50 tff(18461,plain,
% 50.01/32.50 (v84(constB144, bitIndex0) | (~v84(constB145, bitIndex0))),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18460, 18388])).
% 50.01/32.50 tff(18462,plain,
% 50.01/32.50 (~v84(constB145, bitIndex0)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18461, 18453])).
% 50.01/32.50 tff(18463,plain,
% 50.01/32.50 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18464,plain,
% 50.01/32.50 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))),
% 50.01/32.50 inference(quant_inst,[status(thm)],[])).
% 50.01/32.50 tff(18465,plain,
% 50.01/32.50 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145)),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18464, 18463])).
% 50.01/32.50 tff(18466,plain,
% 50.01/32.50 (v119(constB145)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18465, 965, 18462, 18428, 18397])).
% 50.01/32.50 tff(18467,plain,
% 50.01/32.50 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB145) | (~v119(constB145)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB145) | (~v119(constB145)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18468,plain,
% 50.01/32.50 (((~v119(constB145)) | v107(constB145)) <=> (v107(constB145) | (~v119(constB145)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18469,plain,
% 50.01/32.50 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB145)) | v107(constB145))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB145) | (~v119(constB145))))),
% 50.01/32.50 inference(monotonicity,[status(thm)],[18468])).
% 50.01/32.50 tff(18470,plain,
% 50.01/32.50 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB145)) | v107(constB145))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB145) | (~v119(constB145)))),
% 50.01/32.50 inference(transitivity,[status(thm)],[18469, 18467])).
% 50.01/32.50 tff(18471,plain,
% 50.01/32.50 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB145)) | v107(constB145))),
% 50.01/32.50 inference(quant_inst,[status(thm)],[])).
% 50.01/32.50 tff(18472,plain,
% 50.01/32.50 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB145) | (~v119(constB145))),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18471, 18470])).
% 50.01/32.50 tff(18473,plain,
% 50.01/32.50 (v107(constB145)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18472, 976, 18466])).
% 50.01/32.50 tff(18474,assumption,(v26(constB145)), introduced(assumption)).
% 50.01/32.50 tff(18475,plain,
% 50.01/32.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB145))),
% 50.01/32.50 inference(quant_inst,[status(thm)],[])).
% 50.01/32.50 tff(18476,plain,
% 50.01/32.50 ($false),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18475, 55, 18474])).
% 50.01/32.50 tff(18477,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 50.01/32.50 tff(18478,plain,
% 50.01/32.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | v106(constB145) | (~v107(constB145)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | v106(constB145) | (~v107(constB145)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18479,plain,
% 50.01/32.50 ((v26(constB145) | (~v107(constB145)) | v106(constB145)) <=> (v26(constB145) | v106(constB145) | (~v107(constB145)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18480,plain,
% 50.01/32.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | v106(constB145) | (~v107(constB145))))),
% 50.01/32.50 inference(monotonicity,[status(thm)],[18479])).
% 50.01/32.50 tff(18481,plain,
% 50.01/32.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | v106(constB145) | (~v107(constB145)))),
% 50.01/32.50 inference(transitivity,[status(thm)],[18480, 18478])).
% 50.01/32.50 tff(18482,plain,
% 50.01/32.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))),
% 50.01/32.50 inference(quant_inst,[status(thm)],[])).
% 50.01/32.50 tff(18483,plain,
% 50.01/32.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | v106(constB145) | (~v107(constB145))),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18482, 18481])).
% 50.01/32.50 tff(18484,plain,
% 50.01/32.50 (v106(constB145) | (~v107(constB145))),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18483, 348, 18477])).
% 50.01/32.50 tff(18485,plain,
% 50.01/32.50 (v106(constB145)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18484, 18473])).
% 50.01/32.50 tff(18486,plain,
% 50.01/32.50 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB145) | (~v106(constB145)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB145) | (~v106(constB145)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18487,plain,
% 50.01/32.50 (((~v106(constB145)) | v102(constB145)) <=> (v102(constB145) | (~v106(constB145)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18488,plain,
% 50.01/32.50 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB145)) | v102(constB145))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB145) | (~v106(constB145))))),
% 50.01/32.50 inference(monotonicity,[status(thm)],[18487])).
% 50.01/32.50 tff(18489,plain,
% 50.01/32.50 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB145)) | v102(constB145))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB145) | (~v106(constB145)))),
% 50.01/32.50 inference(transitivity,[status(thm)],[18488, 18486])).
% 50.01/32.50 tff(18490,plain,
% 50.01/32.50 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB145)) | v102(constB145))),
% 50.01/32.50 inference(quant_inst,[status(thm)],[])).
% 50.01/32.50 tff(18491,plain,
% 50.01/32.50 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB145) | (~v106(constB145))),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18490, 18489])).
% 50.01/32.50 tff(18492,plain,
% 50.01/32.50 (v102(constB145)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18491, 504, 18485])).
% 50.01/32.50 tff(18493,plain,
% 50.01/32.50 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18494,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 50.01/32.50 tff(18495,plain,
% 50.01/32.50 (nextState(constB145, constB146)),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18494, 18493])).
% 50.01/32.50 tff(18496,plain,
% 50.01/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18497,plain,
% 50.01/32.50 (((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146)) <=> ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18498,plain,
% 50.01/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145))))),
% 50.01/32.50 inference(monotonicity,[status(thm)],[18497])).
% 50.01/32.50 tff(18499,plain,
% 50.01/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 50.01/32.50 inference(transitivity,[status(thm)],[18498, 18496])).
% 50.01/32.50 tff(18500,plain,
% 50.01/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))),
% 50.01/32.50 inference(quant_inst,[status(thm)],[])).
% 50.01/32.50 tff(18501,plain,
% 50.01/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145))),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18500, 18499])).
% 50.01/32.50 tff(18502,plain,
% 50.01/32.50 (v104(constB146) | (~v102(constB145))),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18501, 489, 18495])).
% 50.01/32.50 tff(18503,plain,
% 50.01/32.50 (v104(constB146)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18502, 18492])).
% 50.01/32.50 tff(18504,plain,
% 50.01/32.50 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18505,plain,
% 50.01/32.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))),
% 50.01/32.50 inference(quant_inst,[status(thm)],[])).
% 50.01/32.50 tff(18506,plain,
% 50.01/32.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146))),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18505, 18504])).
% 50.01/32.50 tff(18507,plain,
% 50.01/32.50 (~v98(constB146)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18506, 423, 18495, 18373])).
% 50.01/32.50 tff(18508,plain,
% 50.01/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18509,plain,
% 50.01/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))),
% 50.01/32.50 inference(quant_inst,[status(thm)],[])).
% 50.01/32.50 tff(18510,plain,
% 50.01/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB145, constB146)) | v96(constB146) | v98(constB146)),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18509, 18508])).
% 50.01/32.50 tff(18511,plain,
% 50.01/32.50 (v96(constB146) | v98(constB146)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18510, 437, 18495])).
% 50.01/32.50 tff(18512,plain,
% 50.01/32.50 (v96(constB146)),
% 50.01/32.50 inference(unit_resolution,[status(thm)],[18511, 18507])).
% 50.01/32.50 tff(18513,plain,
% 50.01/32.50 (v1(constB146) <=> v1(constB146)),
% 50.01/32.50 inference(rewrite,[status(thm)],[])).
% 50.01/32.50 tff(18514,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 50.01/32.50 tff(18515,plain,
% 50.01/32.50 (v1(constB146)),
% 50.01/32.50 inference(modus_ponens,[status(thm)],[18514, 18513])).
% 50.01/32.50 tff(18516,plain,
% 50.01/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18517,plain,
% 50.01/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))),
% 50.01/32.51 inference(quant_inst,[status(thm)],[])).
% 50.01/32.51 tff(18518,plain,
% 50.01/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146))),
% 50.01/32.51 inference(modus_ponens,[status(thm)],[18517, 18516])).
% 50.01/32.51 tff(18519,plain,
% 50.01/32.51 (v95(constB146) | (~v96(constB146))),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18518, 455, 18495, 18515])).
% 50.01/32.51 tff(18520,plain,
% 50.01/32.51 (v95(constB146)),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18519, 18512])).
% 50.01/32.51 tff(18521,plain,
% 50.01/32.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18522,plain,
% 50.01/32.51 (((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146)) <=> ((~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18523,plain,
% 50.01/32.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146))))),
% 50.01/32.51 inference(monotonicity,[status(thm)],[18522])).
% 50.01/32.51 tff(18524,plain,
% 50.01/32.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))),
% 50.01/32.51 inference(transitivity,[status(thm)],[18523, 18521])).
% 50.01/32.51 tff(18525,plain,
% 50.01/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))),
% 50.01/32.51 inference(quant_inst,[status(thm)],[])).
% 50.01/32.51 tff(18526,plain,
% 50.01/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146))),
% 50.01/32.51 inference(modus_ponens,[status(thm)],[18525, 18524])).
% 50.01/32.51 tff(18527,plain,
% 50.01/32.51 (v94(constB146) | (~v95(constB146)) | (~v104(constB146))),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18526, 470, 18495])).
% 50.01/32.51 tff(18528,plain,
% 50.01/32.51 (v94(constB146) | (~v104(constB146))),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18527, 18520])).
% 50.01/32.51 tff(18529,plain,
% 50.01/32.51 (v94(constB146)),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18528, 18503])).
% 50.01/32.51 tff(18530,plain,
% 50.01/32.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB145)) | (~v84(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB145)) | (~v84(constB145, bitIndex1)))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18531,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB145)) | (~v84(constB145, bitIndex1)))),
% 50.01/32.51 inference(quant_inst,[status(thm)],[])).
% 50.01/32.51 tff(18532,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB145)) | (~v84(constB145, bitIndex1))),
% 50.01/32.51 inference(modus_ponens,[status(thm)],[18531, 18530])).
% 50.01/32.51 tff(18533,plain,
% 50.01/32.51 (~v118(constB145)),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18532, 1069, 18428])).
% 50.01/32.51 tff(18534,plain,
% 50.01/32.51 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB145)) | (~v84(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB145)) | (~v84(constB145, bitIndex1)))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18535,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB145)) | (~v84(constB145, bitIndex1)))),
% 50.01/32.51 inference(quant_inst,[status(thm)],[])).
% 50.01/32.51 tff(18536,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB145)) | (~v84(constB145, bitIndex1))),
% 50.01/32.51 inference(modus_ponens,[status(thm)],[18535, 18534])).
% 50.01/32.51 tff(18537,plain,
% 50.01/32.51 (~v172(constB145)),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18536, 1080, 18428])).
% 50.01/32.51 tff(18538,plain,
% 50.01/32.51 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB145)) | (~v84(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB145)) | (~v84(constB145, bitIndex2)))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18539,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB145)) | (~v84(constB145, bitIndex2)))),
% 50.01/32.51 inference(quant_inst,[status(thm)],[])).
% 50.01/32.51 tff(18540,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB145)) | (~v84(constB145, bitIndex2))),
% 50.01/32.51 inference(modus_ponens,[status(thm)],[18539, 18538])).
% 50.01/32.51 tff(18541,plain,
% 50.01/32.51 (~v116(constB145)),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18540, 1047, 18397])).
% 50.01/32.51 tff(18542,plain,
% 50.01/32.51 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB145)) | (~v84(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB145)) | (~v84(constB145, bitIndex1)))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18543,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB145)) | (~v84(constB145, bitIndex1)))),
% 50.01/32.51 inference(quant_inst,[status(thm)],[])).
% 50.01/32.51 tff(18544,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB145)) | (~v84(constB145, bitIndex1))),
% 50.01/32.51 inference(modus_ponens,[status(thm)],[18543, 18542])).
% 50.01/32.51 tff(18545,plain,
% 50.01/32.51 (~v145(constB145)),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18544, 1091, 18428])).
% 50.01/32.51 tff(18546,plain,
% 50.01/32.51 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB145)) | (~v84(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB145)) | (~v84(constB145, bitIndex2)))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18547,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB145)) | (~v84(constB145, bitIndex2)))),
% 50.01/32.51 inference(quant_inst,[status(thm)],[])).
% 50.01/32.51 tff(18548,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB145)) | (~v84(constB145, bitIndex2))),
% 50.01/32.51 inference(modus_ponens,[status(thm)],[18547, 18546])).
% 50.01/32.51 tff(18549,plain,
% 50.01/32.51 (~v115(constB145)),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18548, 1036, 18397])).
% 50.01/32.51 tff(18550,plain,
% 50.01/32.51 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB145)) | (~v84(constB145, bitIndex1)))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18551,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex1)))),
% 50.01/32.51 inference(quant_inst,[status(thm)],[])).
% 50.01/32.51 tff(18552,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB145)) | (~v84(constB145, bitIndex1))),
% 50.01/32.51 inference(modus_ponens,[status(thm)],[18551, 18550])).
% 50.01/32.51 tff(18553,plain,
% 50.01/32.51 (~v113(constB145)),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18552, 1058, 18428])).
% 50.01/32.51 tff(18554,plain,
% 50.01/32.51 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18555,plain,
% 50.01/32.51 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2))) <=> (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18556,plain,
% 50.01/32.51 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2))))),
% 50.01/32.51 inference(monotonicity,[status(thm)],[18555])).
% 50.01/32.51 tff(18557,plain,
% 50.01/32.51 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))),
% 50.01/32.51 inference(transitivity,[status(thm)],[18556, 18554])).
% 50.01/32.51 tff(18558,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2)))),
% 50.01/32.51 inference(quant_inst,[status(thm)],[])).
% 50.01/32.51 tff(18559,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2))),
% 50.01/32.51 inference(modus_ponens,[status(thm)],[18558, 18557])).
% 50.01/32.51 tff(18560,plain,
% 50.01/32.51 (~v124(constB145, bitIndex2)),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18559, 1170, 18553, 18549, 18545, 18541, 18537, 18533])).
% 50.01/32.51 tff(18561,plain,
% 50.01/32.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18562,plain,
% 50.01/32.51 ((v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2))) <=> ((~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18563,plain,
% 50.01/32.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2)))),
% 50.01/32.51 inference(monotonicity,[status(thm)],[18562])).
% 50.01/32.51 tff(18564,plain,
% 50.01/32.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))),
% 50.01/32.51 inference(transitivity,[status(thm)],[18563, 18561])).
% 50.01/32.51 tff(18565,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))),
% 50.01/32.51 inference(quant_inst,[status(thm)],[])).
% 50.01/32.51 tff(18566,plain,
% 50.01/32.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2)),
% 50.01/32.51 inference(modus_ponens,[status(thm)],[18565, 18564])).
% 50.01/32.51 tff(18567,plain,
% 50.01/32.51 ((~v121(constB145, bitIndex2)) | v124(constB145, bitIndex2)),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18566, 1187, 18477])).
% 50.01/32.51 tff(18568,plain,
% 50.01/32.51 (~v121(constB145, bitIndex2)),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18567, 18560])).
% 50.01/32.51 tff(18569,plain,
% 50.01/32.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2)))),
% 50.01/32.51 inference(rewrite,[status(thm)],[])).
% 50.01/32.51 tff(18570,plain,
% 50.01/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2)))),
% 50.01/32.51 inference(quant_inst,[status(thm)],[])).
% 50.01/32.51 tff(18571,plain,
% 50.01/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2))),
% 50.01/32.51 inference(modus_ponens,[status(thm)],[18570, 18569])).
% 50.01/32.51 tff(18572,plain,
% 50.01/32.51 (v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2))),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18571, 1205, 18495])).
% 50.01/32.51 tff(18573,plain,
% 50.01/32.51 (~v123(constB146, bitIndex2)),
% 50.01/32.51 inference(unit_resolution,[status(thm)],[18572, 18568])).
% 50.01/32.51 tff(18574,plain,
% 50.01/32.51 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18575,plain,
% 50.01/32.52 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))),
% 50.01/32.52 inference(quant_inst,[status(thm)],[])).
% 50.01/32.52 tff(18576,plain,
% 50.01/32.52 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146))),
% 50.01/32.52 inference(modus_ponens,[status(thm)],[18575, 18574])).
% 50.01/32.52 tff(18577,plain,
% 50.01/32.52 ((~v84(constB146, bitIndex2)) | (~v94(constB146))),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18576, 1220, 18573])).
% 50.01/32.52 tff(18578,plain,
% 50.01/32.52 (~v84(constB146, bitIndex2)),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18577, 18529])).
% 50.01/32.52 tff(18579,plain,
% 50.01/32.52 ((~v1(constB147)) <=> (~v1(constB147))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18580,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 50.01/32.52 tff(18581,plain,
% 50.01/32.52 (~v1(constB147)),
% 50.01/32.52 inference(modus_ponens,[status(thm)],[18580, 18579])).
% 50.01/32.52 tff(18582,plain,
% 50.01/32.52 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18583,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 50.01/32.52 tff(18584,plain,
% 50.01/32.52 (nextState(constB146, constB147)),
% 50.01/32.52 inference(modus_ponens,[status(thm)],[18583, 18582])).
% 50.01/32.52 tff(18585,plain,
% 50.01/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18586,plain,
% 50.01/32.52 (((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18587,plain,
% 50.01/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147))))),
% 50.01/32.52 inference(monotonicity,[status(thm)],[18586])).
% 50.01/32.52 tff(18588,plain,
% 50.01/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 50.01/32.52 inference(transitivity,[status(thm)],[18587, 18585])).
% 50.01/32.52 tff(18589,plain,
% 50.01/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))),
% 50.01/32.52 inference(quant_inst,[status(thm)],[])).
% 50.01/32.52 tff(18590,plain,
% 50.01/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147))),
% 50.01/32.52 inference(modus_ponens,[status(thm)],[18589, 18588])).
% 50.01/32.52 tff(18591,plain,
% 50.01/32.52 (~v95(constB147)),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18590, 110, 18584, 18581])).
% 50.01/32.52 tff(18592,plain,
% 50.01/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18593,plain,
% 50.01/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))),
% 50.01/32.52 inference(quant_inst,[status(thm)],[])).
% 50.01/32.52 tff(18594,plain,
% 50.01/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147))),
% 50.01/32.52 inference(modus_ponens,[status(thm)],[18593, 18592])).
% 50.01/32.52 tff(18595,plain,
% 50.01/32.52 (v95(constB147) | (~v94(constB147))),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18594, 127, 18584])).
% 50.01/32.52 tff(18596,plain,
% 50.01/32.52 (~v94(constB147)),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18595, 18591])).
% 50.01/32.52 tff(18597,plain,
% 50.01/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18598,plain,
% 50.01/32.52 (((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2))) <=> (v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18599,plain,
% 50.01/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2))))),
% 50.01/32.52 inference(monotonicity,[status(thm)],[18598])).
% 50.01/32.52 tff(18600,plain,
% 50.01/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 50.01/32.52 inference(transitivity,[status(thm)],[18599, 18597])).
% 50.01/32.52 tff(18601,plain,
% 50.01/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 50.01/32.52 inference(quant_inst,[status(thm)],[])).
% 50.01/32.52 tff(18602,plain,
% 50.01/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2))),
% 50.01/32.52 inference(modus_ponens,[status(thm)],[18601, 18600])).
% 50.01/32.52 tff(18603,plain,
% 50.01/32.52 (v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2))),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18602, 142, 18584])).
% 50.01/32.52 tff(18604,plain,
% 50.01/32.52 (v84(constB146, bitIndex2) | (~v84(constB147, bitIndex2))),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18603, 18596])).
% 50.01/32.52 tff(18605,plain,
% 50.01/32.52 (~v84(constB147, bitIndex2)),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18604, 18578])).
% 50.01/32.52 tff(18606,plain,
% 50.01/32.52 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18607,plain,
% 50.01/32.52 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1))) <=> (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18608,plain,
% 50.01/32.52 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1))))),
% 50.01/32.52 inference(monotonicity,[status(thm)],[18607])).
% 50.01/32.52 tff(18609,plain,
% 50.01/32.52 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))),
% 50.01/32.52 inference(transitivity,[status(thm)],[18608, 18606])).
% 50.01/32.52 tff(18610,plain,
% 50.01/32.52 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1)))),
% 50.01/32.52 inference(quant_inst,[status(thm)],[])).
% 50.01/32.52 tff(18611,plain,
% 50.01/32.52 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1))),
% 50.01/32.52 inference(modus_ponens,[status(thm)],[18610, 18609])).
% 50.01/32.52 tff(18612,plain,
% 50.01/32.52 (~v124(constB145, bitIndex1)),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18611, 1105, 18553, 18549, 18545, 18541, 18537, 18533])).
% 50.01/32.52 tff(18613,plain,
% 50.01/32.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18614,plain,
% 50.01/32.52 ((v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1))) <=> ((~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18615,plain,
% 50.01/32.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1)))),
% 50.01/32.52 inference(monotonicity,[status(thm)],[18614])).
% 50.01/32.52 tff(18616,plain,
% 50.01/32.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))),
% 50.01/32.52 inference(transitivity,[status(thm)],[18615, 18613])).
% 50.01/32.52 tff(18617,plain,
% 50.01/32.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))),
% 50.01/32.52 inference(quant_inst,[status(thm)],[])).
% 50.01/32.52 tff(18618,plain,
% 50.01/32.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1)),
% 50.01/32.52 inference(modus_ponens,[status(thm)],[18617, 18616])).
% 50.01/32.52 tff(18619,plain,
% 50.01/32.52 ((~v121(constB145, bitIndex1)) | v124(constB145, bitIndex1)),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18618, 233, 18477])).
% 50.01/32.52 tff(18620,plain,
% 50.01/32.52 (~v121(constB145, bitIndex1)),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18619, 18612])).
% 50.01/32.52 tff(18621,plain,
% 50.01/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1)))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18622,plain,
% 50.01/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1)))),
% 50.01/32.52 inference(quant_inst,[status(thm)],[])).
% 50.01/32.52 tff(18623,plain,
% 50.01/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1))),
% 50.01/32.52 inference(modus_ponens,[status(thm)],[18622, 18621])).
% 50.01/32.52 tff(18624,plain,
% 50.01/32.52 (v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1))),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18623, 254, 18495])).
% 50.01/32.52 tff(18625,plain,
% 50.01/32.52 (~v123(constB146, bitIndex1)),
% 50.01/32.52 inference(unit_resolution,[status(thm)],[18624, 18620])).
% 50.01/32.52 tff(18626,plain,
% 50.01/32.52 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18627,plain,
% 50.01/32.52 (((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1)) <=> ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))),
% 50.01/32.52 inference(rewrite,[status(thm)],[])).
% 50.01/32.52 tff(18628,plain,
% 50.01/32.52 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146))))),
% 50.01/32.53 inference(monotonicity,[status(thm)],[18627])).
% 50.01/32.53 tff(18629,plain,
% 50.01/32.53 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))),
% 50.01/32.53 inference(transitivity,[status(thm)],[18628, 18626])).
% 50.01/32.53 tff(18630,plain,
% 50.01/32.53 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1))),
% 50.01/32.53 inference(quant_inst,[status(thm)],[])).
% 50.01/32.53 tff(18631,plain,
% 50.01/32.53 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146))),
% 50.01/32.53 inference(modus_ponens,[status(thm)],[18630, 18629])).
% 50.01/32.53 tff(18632,plain,
% 50.01/32.53 ((~v84(constB146, bitIndex1)) | (~v94(constB146))),
% 50.01/32.53 inference(unit_resolution,[status(thm)],[18631, 532, 18625])).
% 50.01/32.53 tff(18633,plain,
% 50.01/32.53 (~v84(constB146, bitIndex1)),
% 50.01/32.53 inference(unit_resolution,[status(thm)],[18632, 18529])).
% 50.01/32.53 tff(18634,plain,
% 50.01/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 50.01/32.53 inference(rewrite,[status(thm)],[])).
% 50.01/32.53 tff(18635,plain,
% 50.01/32.53 (((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1))) <=> (v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 50.01/32.53 inference(rewrite,[status(thm)],[])).
% 50.01/32.53 tff(18636,plain,
% 50.01/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1))))),
% 50.01/32.53 inference(monotonicity,[status(thm)],[18635])).
% 50.01/32.53 tff(18637,plain,
% 50.01/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 50.01/32.53 inference(transitivity,[status(thm)],[18636, 18634])).
% 50.01/32.53 tff(18638,plain,
% 50.01/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 50.01/32.53 inference(quant_inst,[status(thm)],[])).
% 50.01/32.53 tff(18639,plain,
% 50.01/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1))),
% 50.07/32.53 inference(modus_ponens,[status(thm)],[18638, 18637])).
% 50.07/32.53 tff(18640,plain,
% 50.07/32.53 (v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1))),
% 50.07/32.53 inference(unit_resolution,[status(thm)],[18639, 163, 18584])).
% 50.07/32.53 tff(18641,plain,
% 50.07/32.53 (v84(constB146, bitIndex1) | (~v84(constB147, bitIndex1))),
% 50.07/32.53 inference(unit_resolution,[status(thm)],[18640, 18596])).
% 50.07/32.53 tff(18642,plain,
% 50.07/32.53 (~v84(constB147, bitIndex1)),
% 50.07/32.53 inference(unit_resolution,[status(thm)],[18641, 18633])).
% 50.07/32.53 tff(18643,assumption,(~v84(constB147, bitIndex2)), introduced(assumption)).
% 50.07/32.53 tff(18644,assumption,(~v84(constB147, bitIndex1)), introduced(assumption)).
% 50.07/32.53 tff(18645,assumption,(~v145(constB147)), introduced(assumption)).
% 50.07/32.53 tff(18646,plain,
% 50.07/32.53 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))),
% 50.07/32.53 inference(rewrite,[status(thm)],[])).
% 50.07/32.53 tff(18647,plain,
% 50.07/32.53 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))),
% 50.07/32.53 inference(quant_inst,[status(thm)],[])).
% 50.07/32.53 tff(18648,plain,
% 50.07/32.53 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147)),
% 50.07/32.53 inference(modus_ponens,[status(thm)],[18647, 18646])).
% 50.07/32.53 tff(18649,plain,
% 50.07/32.53 ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2)),
% 50.07/32.53 inference(unit_resolution,[status(thm)],[18648, 1268, 18645])).
% 50.07/32.53 tff(18650,plain,
% 50.07/32.53 (~v84(constB147, bitIndex0)),
% 50.07/32.53 inference(unit_resolution,[status(thm)],[18649, 18644, 18643])).
% 50.07/32.53 tff(18651,plain,
% 50.07/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex2))),
% 50.07/32.53 inference(rewrite,[status(thm)],[])).
% 50.07/32.53 tff(18652,plain,
% 50.07/32.53 (((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex2)) | v94(constB147) | v84(constB147, bitIndex2)) <=> ((~v84(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex2))),
% 50.07/32.53 inference(rewrite,[status(thm)],[])).
% 50.07/32.53 tff(18653,plain,
% 50.07/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex2)) | v94(constB147) | v84(constB147, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex2)))),
% 50.07/32.53 inference(monotonicity,[status(thm)],[18652])).
% 50.07/32.53 tff(18654,plain,
% 50.07/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex2)) | v94(constB147) | v84(constB147, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex2))),
% 50.07/32.53 inference(transitivity,[status(thm)],[18653, 18651])).
% 50.07/32.53 tff(18655,plain,
% 50.07/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex2)) | v94(constB147) | v84(constB147, bitIndex2))),
% 50.07/32.53 inference(quant_inst,[status(thm)],[])).
% 50.07/32.53 tff(18656,plain,
% 50.07/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex2)),
% 50.07/32.53 inference(modus_ponens,[status(thm)],[18655, 18654])).
% 50.07/32.53 tff(18657,plain,
% 50.07/32.53 ((~v84(constB146, bitIndex2)) | v94(constB147) | v84(constB147, bitIndex2)),
% 50.07/32.53 inference(unit_resolution,[status(thm)],[18656, 576, 18584])).
% 50.07/32.53 tff(18658,plain,
% 50.07/32.53 ((~v84(constB146, bitIndex2)) | v84(constB147, bitIndex2)),
% 50.07/32.53 inference(unit_resolution,[status(thm)],[18657, 18596])).
% 50.07/32.53 tff(18659,plain,
% 50.07/32.53 (~v84(constB146, bitIndex2)),
% 50.07/32.53 inference(unit_resolution,[status(thm)],[18658, 18643])).
% 50.07/32.53 tff(18660,plain,
% 50.07/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex1))),
% 50.07/32.53 inference(rewrite,[status(thm)],[])).
% 50.07/32.53 tff(18661,plain,
% 50.07/32.53 (((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex1)) | v94(constB147) | v84(constB147, bitIndex1)) <=> ((~v84(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex1))),
% 50.07/32.53 inference(rewrite,[status(thm)],[])).
% 50.07/32.53 tff(18662,plain,
% 50.07/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex1)) | v94(constB147) | v84(constB147, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex1)))),
% 50.07/32.53 inference(monotonicity,[status(thm)],[18661])).
% 50.07/32.53 tff(18663,plain,
% 50.07/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex1)) | v94(constB147) | v84(constB147, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex1))),
% 50.07/32.53 inference(transitivity,[status(thm)],[18662, 18660])).
% 50.07/32.53 tff(18664,plain,
% 50.07/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex1)) | v94(constB147) | v84(constB147, bitIndex1))),
% 50.07/32.53 inference(quant_inst,[status(thm)],[])).
% 50.07/32.53 tff(18665,plain,
% 50.07/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex1)),
% 50.07/32.54 inference(modus_ponens,[status(thm)],[18664, 18663])).
% 50.07/32.54 tff(18666,plain,
% 50.07/32.54 ((~v84(constB146, bitIndex1)) | v94(constB147) | v84(constB147, bitIndex1)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18665, 905, 18584])).
% 50.07/32.54 tff(18667,plain,
% 50.07/32.54 ((~v84(constB146, bitIndex1)) | v84(constB147, bitIndex1)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18666, 18596])).
% 50.07/32.54 tff(18668,plain,
% 50.07/32.54 (~v84(constB146, bitIndex1)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18667, 18644])).
% 50.07/32.54 tff(18669,assumption,(~v84(constB146, bitIndex0)), introduced(assumption)).
% 50.07/32.54 tff(18670,assumption,(~v84(constB146, bitIndex1)), introduced(assumption)).
% 50.07/32.54 tff(18671,assumption,(~v84(constB146, bitIndex2)), introduced(assumption)).
% 50.07/32.54 tff(18672,assumption,(~v84(constB145, bitIndex0)), introduced(assumption)).
% 50.07/32.54 tff(18673,plain,
% 50.07/32.54 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB145)) | v84(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB145)) | v84(constB145, bitIndex0))),
% 50.07/32.54 inference(rewrite,[status(thm)],[])).
% 50.07/32.54 tff(18674,plain,
% 50.07/32.54 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB145)) | v84(constB145, bitIndex0))),
% 50.07/32.54 inference(quant_inst,[status(thm)],[])).
% 50.07/32.54 tff(18675,plain,
% 50.07/32.54 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB145)) | v84(constB145, bitIndex0)),
% 50.07/32.54 inference(modus_ponens,[status(thm)],[18674, 18673])).
% 50.07/32.54 tff(18676,plain,
% 50.07/32.54 (~v145(constB145)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18675, 3162, 18672])).
% 50.07/32.54 tff(18677,plain,
% 50.07/32.54 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ((~v118(VarCurr)) | v84(VarCurr, bitIndex0)))),
% 50.07/32.54 inference(bind,[status(th)],[])).
% 50.07/32.54 tff(18678,plain,
% 50.07/32.54 (![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))),
% 50.07/32.54 inference(quant_intro,[status(thm)],[18677])).
% 50.07/32.54 tff(18679,plain,
% 50.07/32.54 (![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))),
% 50.07/32.54 inference(rewrite,[status(thm)],[])).
% 50.07/32.54 tff(18680,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 50.07/32.54 tff(18681,plain,
% 50.07/32.54 (![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))),
% 50.07/32.54 inference(modus_ponens,[status(thm)],[18680, 18679])).
% 50.07/32.54 tff(18682,plain,(
% 50.07/32.54 ![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))),
% 50.07/32.54 inference(skolemize,[status(sab)],[18681])).
% 50.07/32.54 tff(18683,plain,
% 50.07/32.54 (![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))),
% 50.07/32.54 inference(modus_ponens,[status(thm)],[18682, 18678])).
% 50.07/32.54 tff(18684,plain,
% 50.07/32.54 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v118(constB145)) | v84(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v118(constB145)) | v84(constB145, bitIndex0))),
% 50.07/32.54 inference(rewrite,[status(thm)],[])).
% 50.07/32.54 tff(18685,plain,
% 50.07/32.54 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v118(constB145)) | v84(constB145, bitIndex0))),
% 50.07/32.54 inference(quant_inst,[status(thm)],[])).
% 50.07/32.54 tff(18686,plain,
% 50.07/32.54 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v118(constB145)) | v84(constB145, bitIndex0)),
% 50.07/32.54 inference(modus_ponens,[status(thm)],[18685, 18684])).
% 50.07/32.54 tff(18687,plain,
% 50.07/32.54 (~v118(constB145)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18686, 18683, 18672])).
% 50.07/32.54 tff(18688,plain,
% 50.07/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex0))),
% 50.07/32.54 inference(rewrite,[status(thm)],[])).
% 50.07/32.54 tff(18689,plain,
% 50.07/32.54 (((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex0)) | v94(constB145) | v84(constB145, bitIndex0)) <=> ((~v84(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex0))),
% 50.07/32.54 inference(rewrite,[status(thm)],[])).
% 50.07/32.54 tff(18690,plain,
% 50.07/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex0)) | v94(constB145) | v84(constB145, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex0)))),
% 50.07/32.54 inference(monotonicity,[status(thm)],[18689])).
% 50.07/32.54 tff(18691,plain,
% 50.07/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex0)) | v94(constB145) | v84(constB145, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex0))),
% 50.07/32.54 inference(transitivity,[status(thm)],[18690, 18688])).
% 50.07/32.54 tff(18692,plain,
% 50.07/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex0)) | v94(constB145) | v84(constB145, bitIndex0))),
% 50.07/32.54 inference(quant_inst,[status(thm)],[])).
% 50.07/32.54 tff(18693,plain,
% 50.07/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex0)),
% 50.07/32.54 inference(modus_ponens,[status(thm)],[18692, 18691])).
% 50.07/32.54 tff(18694,plain,
% 50.07/32.54 ((~v84(constB144, bitIndex0)) | v94(constB145) | v84(constB145, bitIndex0)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18693, 1439, 18376])).
% 50.07/32.54 tff(18695,plain,
% 50.07/32.54 ((~v84(constB144, bitIndex0)) | v84(constB145, bitIndex0)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18694, 18388])).
% 50.07/32.54 tff(18696,plain,
% 50.07/32.54 (~v84(constB144, bitIndex0)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18695, 18672])).
% 50.07/32.54 tff(18697,assumption,(~v84(constB145, bitIndex2)), introduced(assumption)).
% 50.07/32.54 tff(18698,plain,
% 50.07/32.54 (~v84(constB144, bitIndex2)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18396, 18697])).
% 50.07/32.54 tff(18699,assumption,(~v84(constB144, bitIndex0)), introduced(assumption)).
% 50.07/32.54 tff(18700,assumption,(~v84(constB144, bitIndex2)), introduced(assumption)).
% 50.07/32.54 tff(18701,assumption,(~v84(constB144, bitIndex1)), introduced(assumption)).
% 50.07/32.54 tff(18702,assumption,(~v94(constB144)), introduced(assumption)).
% 50.07/32.54 tff(18703,plain,
% 50.07/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex2))),
% 50.07/32.54 inference(rewrite,[status(thm)],[])).
% 50.07/32.54 tff(18704,plain,
% 50.07/32.54 (((~nextState(constB143, constB144)) | (~v84(constB143, bitIndex2)) | v94(constB144) | v84(constB144, bitIndex2)) <=> ((~v84(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex2))),
% 50.07/32.54 inference(rewrite,[status(thm)],[])).
% 50.07/32.54 tff(18705,plain,
% 50.07/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v84(constB143, bitIndex2)) | v94(constB144) | v84(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex2)))),
% 50.07/32.54 inference(monotonicity,[status(thm)],[18704])).
% 50.07/32.54 tff(18706,plain,
% 50.07/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v84(constB143, bitIndex2)) | v94(constB144) | v84(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex2))),
% 50.07/32.54 inference(transitivity,[status(thm)],[18705, 18703])).
% 50.07/32.54 tff(18707,plain,
% 50.07/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v84(constB143, bitIndex2)) | v94(constB144) | v84(constB144, bitIndex2))),
% 50.07/32.54 inference(quant_inst,[status(thm)],[])).
% 50.07/32.54 tff(18708,plain,
% 50.07/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex2)),
% 50.07/32.54 inference(modus_ponens,[status(thm)],[18707, 18706])).
% 50.07/32.54 tff(18709,plain,
% 50.07/32.54 ((~v84(constB143, bitIndex2)) | v94(constB144) | v84(constB144, bitIndex2)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18708, 576, 18314])).
% 50.07/32.54 tff(18710,plain,
% 50.07/32.54 (~v84(constB143, bitIndex2)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18709, 18702, 18700])).
% 50.07/32.54 tff(18711,plain,
% 50.07/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex0))),
% 50.07/32.54 inference(rewrite,[status(thm)],[])).
% 50.07/32.54 tff(18712,plain,
% 50.07/32.54 (((~nextState(constB143, constB144)) | (~v84(constB143, bitIndex0)) | v94(constB144) | v84(constB144, bitIndex0)) <=> ((~v84(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex0))),
% 50.07/32.54 inference(rewrite,[status(thm)],[])).
% 50.07/32.54 tff(18713,plain,
% 50.07/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v84(constB143, bitIndex0)) | v94(constB144) | v84(constB144, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex0)))),
% 50.07/32.54 inference(monotonicity,[status(thm)],[18712])).
% 50.07/32.54 tff(18714,plain,
% 50.07/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v84(constB143, bitIndex0)) | v94(constB144) | v84(constB144, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex0))),
% 50.07/32.54 inference(transitivity,[status(thm)],[18713, 18711])).
% 50.07/32.54 tff(18715,plain,
% 50.07/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v84(constB143, bitIndex0)) | v94(constB144) | v84(constB144, bitIndex0))),
% 50.07/32.54 inference(quant_inst,[status(thm)],[])).
% 50.07/32.54 tff(18716,plain,
% 50.07/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex0)),
% 50.07/32.54 inference(modus_ponens,[status(thm)],[18715, 18714])).
% 50.07/32.54 tff(18717,plain,
% 50.07/32.54 ((~v84(constB143, bitIndex0)) | v94(constB144) | v84(constB144, bitIndex0)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18716, 1439, 18314])).
% 50.07/32.54 tff(18718,plain,
% 50.07/32.54 (~v84(constB143, bitIndex0)),
% 50.07/32.54 inference(unit_resolution,[status(thm)],[18717, 18702, 18699])).
% 50.07/32.54 tff(18719,plain,
% 50.07/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex1))),
% 50.07/32.54 inference(rewrite,[status(thm)],[])).
% 50.07/32.54 tff(18720,plain,
% 50.07/32.54 (((~nextState(constB143, constB144)) | (~v84(constB143, bitIndex1)) | v94(constB144) | v84(constB144, bitIndex1)) <=> ((~v84(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex1))),
% 50.07/32.54 inference(rewrite,[status(thm)],[])).
% 50.07/32.54 tff(18721,plain,
% 50.07/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v84(constB143, bitIndex1)) | v94(constB144) | v84(constB144, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex1)))),
% 50.07/32.54 inference(monotonicity,[status(thm)],[18720])).
% 50.07/32.54 tff(18722,plain,
% 50.07/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v84(constB143, bitIndex1)) | v94(constB144) | v84(constB144, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex1))),
% 50.07/32.54 inference(transitivity,[status(thm)],[18721, 18719])).
% 50.07/32.54 tff(18723,plain,
% 50.07/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v84(constB143, bitIndex1)) | v94(constB144) | v84(constB144, bitIndex1))),
% 50.07/32.54 inference(quant_inst,[status(thm)],[])).
% 50.07/32.54 tff(18724,plain,
% 50.07/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v94(constB144) | v84(constB144, bitIndex1)),
% 50.07/32.55 inference(modus_ponens,[status(thm)],[18723, 18722])).
% 50.07/32.55 tff(18725,plain,
% 50.07/32.55 ((~v84(constB143, bitIndex1)) | v94(constB144) | v84(constB144, bitIndex1)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18724, 905, 18314])).
% 50.07/32.55 tff(18726,plain,
% 50.07/32.55 (~v84(constB143, bitIndex1)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18725, 18702, 18701])).
% 50.07/32.55 tff(18727,assumption,(v113(constB143)), introduced(assumption)).
% 50.07/32.55 tff(18728,plain,
% 50.07/32.55 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB143)) | v112(constB143))),
% 50.07/32.55 inference(rewrite,[status(thm)],[])).
% 50.07/32.55 tff(18729,plain,
% 50.07/32.55 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB143)) | v112(constB143))),
% 50.07/32.55 inference(quant_inst,[status(thm)],[])).
% 50.07/32.55 tff(18730,plain,
% 50.07/32.55 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB143)) | v112(constB143)),
% 50.07/32.55 inference(modus_ponens,[status(thm)],[18729, 18728])).
% 50.07/32.55 tff(18731,plain,
% 50.07/32.55 (v112(constB143)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18730, 267, 18727])).
% 50.07/32.55 tff(18732,plain,
% 50.07/32.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB143)) | v111(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB143)) | v111(constB143))),
% 50.07/32.55 inference(rewrite,[status(thm)],[])).
% 50.07/32.55 tff(18733,plain,
% 50.07/32.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB143)) | v111(constB143))),
% 50.07/32.55 inference(quant_inst,[status(thm)],[])).
% 50.07/32.55 tff(18734,plain,
% 50.07/32.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB143)) | v111(constB143)),
% 50.07/32.55 inference(modus_ponens,[status(thm)],[18733, 18732])).
% 50.07/32.55 tff(18735,plain,
% 50.07/32.55 (v111(constB143)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18734, 278, 18731])).
% 50.07/32.55 tff(18736,plain,
% 50.07/32.55 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB143) | (~v111(constB143)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB143) | (~v111(constB143)))),
% 50.07/32.55 inference(rewrite,[status(thm)],[])).
% 50.07/32.55 tff(18737,plain,
% 50.07/32.55 (((~v111(constB143)) | v110(constB143)) <=> (v110(constB143) | (~v111(constB143)))),
% 50.07/32.55 inference(rewrite,[status(thm)],[])).
% 50.07/32.55 tff(18738,plain,
% 50.07/32.55 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB143)) | v110(constB143))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB143) | (~v111(constB143))))),
% 50.07/32.55 inference(monotonicity,[status(thm)],[18737])).
% 50.07/32.55 tff(18739,plain,
% 50.07/32.55 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB143)) | v110(constB143))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB143) | (~v111(constB143)))),
% 50.07/32.55 inference(transitivity,[status(thm)],[18738, 18736])).
% 50.07/32.55 tff(18740,plain,
% 50.07/32.55 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB143)) | v110(constB143))),
% 50.07/32.55 inference(quant_inst,[status(thm)],[])).
% 50.07/32.55 tff(18741,plain,
% 50.07/32.55 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB143) | (~v111(constB143))),
% 50.07/32.55 inference(modus_ponens,[status(thm)],[18740, 18739])).
% 50.07/32.55 tff(18742,plain,
% 50.07/32.55 (v110(constB143)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18741, 292, 18735])).
% 50.07/32.55 tff(18743,plain,
% 50.07/32.55 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB143) | (~v110(constB143)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB143) | (~v110(constB143)))),
% 50.07/32.55 inference(rewrite,[status(thm)],[])).
% 50.07/32.55 tff(18744,plain,
% 50.07/32.55 (((~v110(constB143)) | v109(constB143)) <=> (v109(constB143) | (~v110(constB143)))),
% 50.07/32.55 inference(rewrite,[status(thm)],[])).
% 50.07/32.55 tff(18745,plain,
% 50.07/32.55 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB143)) | v109(constB143))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB143) | (~v110(constB143))))),
% 50.07/32.55 inference(monotonicity,[status(thm)],[18744])).
% 50.07/32.55 tff(18746,plain,
% 50.07/32.55 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB143)) | v109(constB143))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB143) | (~v110(constB143)))),
% 50.07/32.55 inference(transitivity,[status(thm)],[18745, 18743])).
% 50.07/32.55 tff(18747,plain,
% 50.07/32.55 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB143)) | v109(constB143))),
% 50.07/32.55 inference(quant_inst,[status(thm)],[])).
% 50.07/32.55 tff(18748,plain,
% 50.07/32.55 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB143) | (~v110(constB143))),
% 50.07/32.55 inference(modus_ponens,[status(thm)],[18747, 18746])).
% 50.07/32.55 tff(18749,plain,
% 50.07/32.55 (v109(constB143)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18748, 306, 18742])).
% 50.07/32.55 tff(18750,plain,
% 50.07/32.55 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB143)) | v124(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB143)) | v124(constB143, bitIndex2))),
% 50.07/32.55 inference(rewrite,[status(thm)],[])).
% 50.07/32.55 tff(18751,plain,
% 50.07/32.55 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB143)) | v124(constB143, bitIndex2))),
% 50.07/32.55 inference(quant_inst,[status(thm)],[])).
% 50.07/32.55 tff(18752,plain,
% 50.07/32.55 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB143)) | v124(constB143, bitIndex2)),
% 50.07/32.55 inference(modus_ponens,[status(thm)],[18751, 18750])).
% 50.07/32.55 tff(18753,plain,
% 50.07/32.55 (v124(constB143, bitIndex2)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18752, 360, 18727])).
% 50.07/32.55 tff(18754,plain,
% 50.07/32.55 (v121(constB143, bitIndex2)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18356, 18753])).
% 50.07/32.55 tff(18755,plain,
% 50.07/32.55 (v123(constB144, bitIndex2)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18361, 18754])).
% 50.07/32.55 tff(18756,plain,
% 50.07/32.55 ((~v123(constB144, bitIndex2)) | (~v94(constB144))),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18368, 405, 18700])).
% 50.07/32.55 tff(18757,plain,
% 50.07/32.55 (~v94(constB144)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18756, 18755])).
% 50.07/32.55 tff(18758,plain,
% 50.07/32.55 (~v104(constB144)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18347, 18757])).
% 50.07/32.55 tff(18759,plain,
% 50.07/32.55 (~v102(constB143)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18321, 18758])).
% 50.07/32.55 tff(18760,plain,
% 50.07/32.55 (~v106(constB143)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18310, 504, 18759])).
% 50.07/32.55 tff(18761,plain,
% 50.07/32.55 (~v107(constB143)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18303, 18760])).
% 50.07/32.55 tff(18762,plain,
% 50.07/32.55 (~v108(constB143)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18291, 334, 18761])).
% 50.07/32.55 tff(18763,plain,
% 50.07/32.55 ($false),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18287, 320, 18762, 18749])).
% 50.07/32.55 tff(18764,plain,((~v113(constB143)) | v84(constB144, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 50.07/32.55 tff(18765,plain,
% 50.07/32.55 (~v113(constB143)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18764, 18700])).
% 50.07/32.55 tff(18766,plain,
% 50.07/32.55 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v113(constB143))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v113(constB143))),
% 50.07/32.55 inference(rewrite,[status(thm)],[])).
% 50.07/32.55 tff(18767,plain,
% 50.07/32.55 ((v84(constB143, bitIndex0) | v113(constB143) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2)) <=> (v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v113(constB143))),
% 50.07/32.55 inference(rewrite,[status(thm)],[])).
% 50.07/32.55 tff(18768,plain,
% 50.07/32.55 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB143, bitIndex0) | v113(constB143) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v113(constB143)))),
% 50.07/32.55 inference(monotonicity,[status(thm)],[18767])).
% 50.07/32.55 tff(18769,plain,
% 50.07/32.55 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB143, bitIndex0) | v113(constB143) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v113(constB143))),
% 50.07/32.55 inference(transitivity,[status(thm)],[18768, 18766])).
% 50.07/32.55 tff(18770,plain,
% 50.07/32.55 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB143, bitIndex0) | v113(constB143) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2))),
% 50.07/32.55 inference(quant_inst,[status(thm)],[])).
% 50.07/32.55 tff(18771,plain,
% 50.07/32.55 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v113(constB143)),
% 50.07/32.55 inference(modus_ponens,[status(thm)],[18770, 18769])).
% 50.07/32.55 tff(18772,plain,
% 50.07/32.55 (v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18771, 205, 18765])).
% 50.07/32.55 tff(18773,plain,
% 50.07/32.55 ($false),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18772, 18726, 18718, 18710])).
% 50.07/32.55 tff(18774,plain,(v94(constB144) | v84(constB144, bitIndex1) | v84(constB144, bitIndex2) | v84(constB144, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.07/32.55 tff(18775,plain,
% 50.07/32.55 (v94(constB144)),
% 50.07/32.55 inference(unit_resolution,[status(thm)],[18774, 18701, 18700, 18699])).
% 50.07/32.55 tff(18776,plain,
% 50.07/32.55 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)) | (~v94(constB144)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)) | (~v94(constB144)))),
% 50.07/32.55 inference(rewrite,[status(thm)],[])).
% 50.07/32.55 tff(18777,plain,
% 50.07/32.55 ((v84(constB144, bitIndex0) | (~v94(constB144)) | (~v123(constB144, bitIndex0))) <=> (v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)) | (~v94(constB144)))),
% 50.07/32.55 inference(rewrite,[status(thm)],[])).
% 50.07/32.55 tff(18778,plain,
% 50.07/32.55 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~v94(constB144)) | (~v123(constB144, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)) | (~v94(constB144))))),
% 50.07/32.55 inference(monotonicity,[status(thm)],[18777])).
% 50.07/32.55 tff(18779,plain,
% 50.07/32.55 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~v94(constB144)) | (~v123(constB144, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)) | (~v94(constB144)))),
% 50.07/32.55 inference(transitivity,[status(thm)],[18778, 18776])).
% 50.07/32.55 tff(18780,plain,
% 50.07/32.55 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~v94(constB144)) | (~v123(constB144, bitIndex0)))),
% 50.07/32.55 inference(quant_inst,[status(thm)],[])).
% 50.07/32.55 tff(18781,plain,
% 50.07/32.55 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)) | (~v94(constB144))),
% 50.07/32.55 inference(modus_ponens,[status(thm)],[18780, 18779])).
% 50.09/32.55 tff(18782,plain,
% 50.09/32.55 ((~v123(constB144, bitIndex0)) | (~v94(constB144))),
% 50.09/32.55 inference(unit_resolution,[status(thm)],[18781, 1421, 18699])).
% 50.09/32.55 tff(18783,plain,
% 50.09/32.55 (~v123(constB144, bitIndex0)),
% 50.09/32.55 inference(unit_resolution,[status(thm)],[18782, 18775])).
% 50.09/32.55 tff(18784,plain,
% 50.09/32.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex0)) | v123(constB144, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex0)) | v123(constB144, bitIndex0))),
% 50.09/32.55 inference(rewrite,[status(thm)],[])).
% 50.09/32.55 tff(18785,plain,
% 50.09/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex0)) | v123(constB144, bitIndex0))),
% 50.09/32.55 inference(quant_inst,[status(thm)],[])).
% 50.09/32.55 tff(18786,plain,
% 50.09/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex0)) | v123(constB144, bitIndex0)),
% 50.09/32.55 inference(modus_ponens,[status(thm)],[18785, 18784])).
% 50.09/32.55 tff(18787,plain,
% 50.09/32.55 ((~v121(constB143, bitIndex0)) | v123(constB144, bitIndex0)),
% 50.09/32.55 inference(unit_resolution,[status(thm)],[18786, 1406, 18314])).
% 50.09/32.55 tff(18788,plain,
% 50.09/32.55 (~v121(constB143, bitIndex0)),
% 50.09/32.55 inference(unit_resolution,[status(thm)],[18787, 18783])).
% 50.09/32.55 tff(18789,plain,
% 50.09/32.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB143) | (~v124(constB143, bitIndex0)) | v121(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB143) | (~v124(constB143, bitIndex0)) | v121(constB143, bitIndex0))),
% 50.09/32.55 inference(rewrite,[status(thm)],[])).
% 50.09/32.55 tff(18790,plain,
% 50.09/32.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB143) | (~v124(constB143, bitIndex0)) | v121(constB143, bitIndex0))),
% 50.09/32.55 inference(quant_inst,[status(thm)],[])).
% 50.09/32.55 tff(18791,plain,
% 50.09/32.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB143) | (~v124(constB143, bitIndex0)) | v121(constB143, bitIndex0)),
% 50.09/32.55 inference(modus_ponens,[status(thm)],[18790, 18789])).
% 50.09/32.55 tff(18792,plain,
% 50.09/32.55 ((~v124(constB143, bitIndex0)) | v121(constB143, bitIndex0)),
% 50.09/32.55 inference(unit_resolution,[status(thm)],[18791, 1391, 18296])).
% 50.09/32.55 tff(18793,plain,
% 50.09/32.55 (~v124(constB143, bitIndex0)),
% 50.09/32.55 inference(unit_resolution,[status(thm)],[18792, 18788])).
% 50.09/32.55 tff(18794,plain,
% 50.09/32.55 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB143)) | v124(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB143)) | v124(constB143, bitIndex0))),
% 50.09/32.55 inference(rewrite,[status(thm)],[])).
% 50.09/32.55 tff(18795,plain,
% 50.09/32.55 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB143)) | v124(constB143, bitIndex0))),
% 50.09/32.55 inference(quant_inst,[status(thm)],[])).
% 50.09/32.55 tff(18796,plain,
% 50.09/32.55 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB143)) | v124(constB143, bitIndex0)),
% 50.09/32.55 inference(modus_ponens,[status(thm)],[18795, 18794])).
% 50.09/32.55 tff(18797,plain,
% 50.09/32.55 (~v118(constB143)),
% 50.09/32.55 inference(unit_resolution,[status(thm)],[18796, 4562, 18793])).
% 50.09/32.55 tff(18798,plain,
% 50.09/32.55 (~v123(constB144, bitIndex2)),
% 50.09/32.55 inference(unit_resolution,[status(thm)],[18756, 18775])).
% 50.09/32.55 tff(18799,plain,
% 50.09/32.55 (~v121(constB143, bitIndex2)),
% 50.09/32.55 inference(unit_resolution,[status(thm)],[18361, 18798])).
% 50.09/32.55 tff(18800,plain,
% 50.09/32.55 (~v124(constB143, bitIndex2)),
% 50.09/32.55 inference(unit_resolution,[status(thm)],[18356, 18799])).
% 50.09/32.56 tff(18801,plain,
% 50.09/32.56 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB143)) | v124(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB143)) | v124(constB143, bitIndex2))),
% 50.09/32.56 inference(rewrite,[status(thm)],[])).
% 50.09/32.56 tff(18802,plain,
% 50.09/32.56 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB143)) | v124(constB143, bitIndex2))),
% 50.09/32.56 inference(quant_inst,[status(thm)],[])).
% 50.09/32.56 tff(18803,plain,
% 50.09/32.56 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB143)) | v124(constB143, bitIndex2)),
% 50.09/32.56 inference(modus_ponens,[status(thm)],[18802, 18801])).
% 50.09/32.56 tff(18804,plain,
% 50.09/32.56 (~v116(constB143)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18803, 1923, 18800])).
% 50.09/32.56 tff(18805,plain,
% 50.09/32.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB143)) | v124(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB143)) | v124(constB143, bitIndex0))),
% 50.09/32.56 inference(rewrite,[status(thm)],[])).
% 50.09/32.56 tff(18806,plain,
% 50.09/32.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB143)) | v124(constB143, bitIndex0))),
% 50.09/32.56 inference(quant_inst,[status(thm)],[])).
% 50.09/32.56 tff(18807,plain,
% 50.09/32.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB143)) | v124(constB143, bitIndex0)),
% 50.09/32.56 inference(modus_ponens,[status(thm)],[18806, 18805])).
% 50.09/32.56 tff(18808,plain,
% 50.09/32.56 (~v115(constB143)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18807, 1784, 18793])).
% 50.09/32.56 tff(18809,plain,
% 50.09/32.56 (~v172(constB143)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18351, 691, 18800])).
% 50.09/32.56 tff(18810,plain,
% 50.09/32.56 ((~v123(constB144, bitIndex1)) | (~v94(constB144))),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18417, 887, 18701])).
% 50.09/32.56 tff(18811,plain,
% 50.09/32.56 (~v123(constB144, bitIndex1)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18810, 18775])).
% 50.09/32.56 tff(18812,plain,
% 50.09/32.56 (~v121(constB143, bitIndex1)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18410, 18811])).
% 50.09/32.56 tff(18813,plain,
% 50.09/32.56 (~v124(constB143, bitIndex1)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18405, 18812])).
% 50.09/32.56 tff(18814,plain,
% 50.09/32.56 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB143)) | v124(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB143)) | v124(constB143, bitIndex1))),
% 50.09/32.56 inference(rewrite,[status(thm)],[])).
% 50.09/32.56 tff(18815,plain,
% 50.09/32.56 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB143)) | v124(constB143, bitIndex1))),
% 50.09/32.56 inference(quant_inst,[status(thm)],[])).
% 50.09/32.56 tff(18816,plain,
% 50.09/32.56 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB143)) | v124(constB143, bitIndex1)),
% 50.09/32.56 inference(modus_ponens,[status(thm)],[18815, 18814])).
% 50.09/32.56 tff(18817,plain,
% 50.09/32.56 (~v145(constB143)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18816, 1512, 18813])).
% 50.09/32.56 tff(18818,plain,
% 50.09/32.56 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v113(constB143) | v118(constB143) | v124(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v113(constB143) | v118(constB143) | v124(constB143, bitIndex0))),
% 50.09/32.56 inference(rewrite,[status(thm)],[])).
% 50.09/32.56 tff(18819,plain,
% 50.09/32.56 ((v113(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v172(constB143) | v118(constB143) | v124(constB143, bitIndex0)) <=> (v172(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v113(constB143) | v118(constB143) | v124(constB143, bitIndex0))),
% 50.09/32.56 inference(rewrite,[status(thm)],[])).
% 50.09/32.56 tff(18820,plain,
% 50.09/32.56 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v172(constB143) | v118(constB143) | v124(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v113(constB143) | v118(constB143) | v124(constB143, bitIndex0)))),
% 50.09/32.56 inference(monotonicity,[status(thm)],[18819])).
% 50.09/32.56 tff(18821,plain,
% 50.09/32.56 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v172(constB143) | v118(constB143) | v124(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v113(constB143) | v118(constB143) | v124(constB143, bitIndex0))),
% 50.09/32.56 inference(transitivity,[status(thm)],[18820, 18818])).
% 50.09/32.56 tff(18822,plain,
% 50.09/32.56 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v172(constB143) | v118(constB143) | v124(constB143, bitIndex0))),
% 50.09/32.56 inference(quant_inst,[status(thm)],[])).
% 50.09/32.56 tff(18823,plain,
% 50.09/32.56 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v113(constB143) | v118(constB143) | v124(constB143, bitIndex0)),
% 50.09/32.56 inference(modus_ponens,[status(thm)],[18822, 18821])).
% 50.09/32.56 tff(18824,plain,
% 50.09/32.56 (v172(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v118(constB143) | v124(constB143, bitIndex0)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18823, 1374, 18765])).
% 50.09/32.56 tff(18825,plain,
% 50.09/32.56 ($false),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18824, 18817, 18809, 18793, 18808, 18804, 18797])).
% 50.09/32.56 tff(18826,plain,(v84(constB144, bitIndex1) | v84(constB144, bitIndex2) | v84(constB144, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.09/32.56 tff(18827,plain,
% 50.09/32.56 (v84(constB144, bitIndex1)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18826, 18698, 18696])).
% 50.09/32.56 tff(18828,plain,
% 50.09/32.56 (v84(constB145, bitIndex1)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18427, 18827])).
% 50.09/32.56 tff(18829,plain,
% 50.09/32.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex1))),
% 50.09/32.56 inference(rewrite,[status(thm)],[])).
% 50.09/32.56 tff(18830,plain,
% 50.09/32.56 (((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex1)) | v94(constB146) | v84(constB146, bitIndex1)) <=> ((~v84(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex1))),
% 50.09/32.56 inference(rewrite,[status(thm)],[])).
% 50.09/32.56 tff(18831,plain,
% 50.09/32.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex1)) | v94(constB146) | v84(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex1)))),
% 50.09/32.56 inference(monotonicity,[status(thm)],[18830])).
% 50.09/32.56 tff(18832,plain,
% 50.09/32.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex1)) | v94(constB146) | v84(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex1))),
% 50.09/32.56 inference(transitivity,[status(thm)],[18831, 18829])).
% 50.09/32.56 tff(18833,plain,
% 50.09/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex1)) | v94(constB146) | v84(constB146, bitIndex1))),
% 50.09/32.56 inference(quant_inst,[status(thm)],[])).
% 50.09/32.56 tff(18834,plain,
% 50.09/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex1)),
% 50.09/32.56 inference(modus_ponens,[status(thm)],[18833, 18832])).
% 50.09/32.56 tff(18835,plain,
% 50.09/32.56 ((~v84(constB145, bitIndex1)) | v94(constB146) | v84(constB146, bitIndex1)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18834, 905, 18495])).
% 50.09/32.56 tff(18836,plain,
% 50.09/32.56 (v94(constB146)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18835, 18828, 18670])).
% 50.09/32.56 tff(18837,plain,
% 50.09/32.56 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))),
% 50.09/32.56 inference(rewrite,[status(thm)],[])).
% 50.09/32.56 tff(18838,plain,
% 50.09/32.56 ((v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0))) <=> (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))),
% 50.09/32.56 inference(rewrite,[status(thm)],[])).
% 50.09/32.56 tff(18839,plain,
% 50.09/32.56 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146))))),
% 50.09/32.56 inference(monotonicity,[status(thm)],[18838])).
% 50.09/32.56 tff(18840,plain,
% 50.09/32.56 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))),
% 50.09/32.56 inference(transitivity,[status(thm)],[18839, 18837])).
% 50.09/32.56 tff(18841,plain,
% 50.09/32.56 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0)))),
% 50.09/32.56 inference(quant_inst,[status(thm)],[])).
% 50.09/32.56 tff(18842,plain,
% 50.09/32.56 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146))),
% 50.09/32.56 inference(modus_ponens,[status(thm)],[18841, 18840])).
% 50.09/32.56 tff(18843,plain,
% 50.09/32.56 ((~v123(constB146, bitIndex0)) | (~v94(constB146))),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18842, 1421, 18669])).
% 50.09/32.56 tff(18844,plain,
% 50.09/32.56 (~v123(constB146, bitIndex0)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18843, 18836])).
% 50.09/32.56 tff(18845,plain,
% 50.09/32.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0))),
% 50.09/32.56 inference(rewrite,[status(thm)],[])).
% 50.09/32.56 tff(18846,plain,
% 50.09/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0))),
% 50.09/32.56 inference(quant_inst,[status(thm)],[])).
% 50.09/32.56 tff(18847,plain,
% 50.09/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0)),
% 50.09/32.56 inference(modus_ponens,[status(thm)],[18846, 18845])).
% 50.09/32.56 tff(18848,plain,
% 50.09/32.56 ((~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18847, 1406, 18495])).
% 50.09/32.56 tff(18849,plain,
% 50.09/32.56 (~v121(constB145, bitIndex0)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18848, 18844])).
% 50.09/32.56 tff(18850,plain,
% 50.09/32.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))),
% 50.09/32.56 inference(rewrite,[status(thm)],[])).
% 50.09/32.56 tff(18851,plain,
% 50.09/32.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))),
% 50.09/32.56 inference(quant_inst,[status(thm)],[])).
% 50.09/32.56 tff(18852,plain,
% 50.09/32.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0)),
% 50.09/32.56 inference(modus_ponens,[status(thm)],[18851, 18850])).
% 50.09/32.56 tff(18853,plain,
% 50.09/32.56 ((~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18852, 1391, 18477])).
% 50.09/32.56 tff(18854,plain,
% 50.09/32.56 (~v124(constB145, bitIndex0)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18853, 18849])).
% 50.09/32.56 tff(18855,plain,
% 50.09/32.56 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145))),
% 50.09/32.56 inference(rewrite,[status(thm)],[])).
% 50.09/32.56 tff(18856,plain,
% 50.09/32.56 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145))),
% 50.09/32.56 inference(quant_inst,[status(thm)],[])).
% 50.09/32.56 tff(18857,plain,
% 50.09/32.56 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145)),
% 50.09/32.56 inference(modus_ponens,[status(thm)],[18856, 18855])).
% 50.09/32.56 tff(18858,plain,
% 50.09/32.56 ((~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18857, 1594, 18672])).
% 50.09/32.56 tff(18859,plain,
% 50.09/32.56 (v115(constB145)),
% 50.09/32.56 inference(unit_resolution,[status(thm)],[18858, 18828, 18697])).
% 50.09/32.57 tff(18860,plain,
% 50.09/32.57 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB145)) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB145)) | v124(constB145, bitIndex0))),
% 50.09/32.57 inference(rewrite,[status(thm)],[])).
% 50.09/32.57 tff(18861,plain,
% 50.09/32.57 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB145)) | v124(constB145, bitIndex0))),
% 50.09/32.57 inference(quant_inst,[status(thm)],[])).
% 50.09/32.57 tff(18862,plain,
% 50.09/32.57 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB145)) | v124(constB145, bitIndex0)),
% 50.09/32.57 inference(modus_ponens,[status(thm)],[18861, 18860])).
% 50.09/32.57 tff(18863,plain,
% 50.09/32.57 ($false),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18862, 1784, 18859, 18854])).
% 50.09/32.57 tff(18864,plain,(v84(constB145, bitIndex2) | v84(constB146, bitIndex0) | v84(constB145, bitIndex0) | v84(constB146, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 50.09/32.57 tff(18865,plain,
% 50.09/32.57 (v84(constB145, bitIndex2)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18864, 18672, 18669, 18670])).
% 50.09/32.57 tff(18866,plain,
% 50.09/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex2))),
% 50.09/32.57 inference(rewrite,[status(thm)],[])).
% 50.09/32.57 tff(18867,plain,
% 50.09/32.57 (((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex2)) | v94(constB146) | v84(constB146, bitIndex2)) <=> ((~v84(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex2))),
% 50.09/32.57 inference(rewrite,[status(thm)],[])).
% 50.09/32.57 tff(18868,plain,
% 50.09/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex2)) | v94(constB146) | v84(constB146, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex2)))),
% 50.09/32.57 inference(monotonicity,[status(thm)],[18867])).
% 50.09/32.57 tff(18869,plain,
% 50.09/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex2)) | v94(constB146) | v84(constB146, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex2))),
% 50.09/32.57 inference(transitivity,[status(thm)],[18868, 18866])).
% 50.09/32.57 tff(18870,plain,
% 50.09/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex2)) | v94(constB146) | v84(constB146, bitIndex2))),
% 50.09/32.57 inference(quant_inst,[status(thm)],[])).
% 50.09/32.57 tff(18871,plain,
% 50.09/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex2)),
% 50.09/32.57 inference(modus_ponens,[status(thm)],[18870, 18869])).
% 50.09/32.57 tff(18872,plain,
% 50.09/32.57 ((~v84(constB145, bitIndex2)) | v94(constB146) | v84(constB146, bitIndex2)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18871, 576, 18495])).
% 50.09/32.57 tff(18873,plain,
% 50.09/32.57 (v94(constB146)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18872, 18865, 18671])).
% 50.09/32.57 tff(18874,plain,
% 50.09/32.57 (~v123(constB146, bitIndex0)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18843, 18873])).
% 50.09/32.57 tff(18875,plain,
% 50.09/32.57 (~v121(constB145, bitIndex0)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18848, 18874])).
% 50.09/32.57 tff(18876,plain,
% 50.09/32.57 (~v124(constB145, bitIndex0)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18853, 18875])).
% 50.09/32.57 tff(18877,plain,
% 50.09/32.57 (~v115(constB145)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18548, 1036, 18865])).
% 50.09/32.57 tff(18878,plain,
% 50.09/32.57 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~v123(constB146, bitIndex2)) | (~v94(constB146)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~v123(constB146, bitIndex2)) | (~v94(constB146)))),
% 50.09/32.57 inference(rewrite,[status(thm)],[])).
% 50.09/32.57 tff(18879,plain,
% 50.09/32.57 ((v84(constB146, bitIndex2) | (~v94(constB146)) | (~v123(constB146, bitIndex2))) <=> (v84(constB146, bitIndex2) | (~v123(constB146, bitIndex2)) | (~v94(constB146)))),
% 50.09/32.57 inference(rewrite,[status(thm)],[])).
% 50.09/32.57 tff(18880,plain,
% 50.09/32.57 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~v94(constB146)) | (~v123(constB146, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~v123(constB146, bitIndex2)) | (~v94(constB146))))),
% 50.09/32.57 inference(monotonicity,[status(thm)],[18879])).
% 50.09/32.57 tff(18881,plain,
% 50.09/32.57 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~v94(constB146)) | (~v123(constB146, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~v123(constB146, bitIndex2)) | (~v94(constB146)))),
% 50.09/32.57 inference(transitivity,[status(thm)],[18880, 18878])).
% 50.09/32.57 tff(18882,plain,
% 50.09/32.57 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~v94(constB146)) | (~v123(constB146, bitIndex2)))),
% 50.09/32.57 inference(quant_inst,[status(thm)],[])).
% 50.09/32.57 tff(18883,plain,
% 50.09/32.57 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~v123(constB146, bitIndex2)) | (~v94(constB146))),
% 50.09/32.57 inference(modus_ponens,[status(thm)],[18882, 18881])).
% 50.09/32.57 tff(18884,plain,
% 50.09/32.57 ((~v123(constB146, bitIndex2)) | (~v94(constB146))),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18883, 405, 18671])).
% 50.09/32.57 tff(18885,plain,
% 50.09/32.57 (~v123(constB146, bitIndex2)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18884, 18873])).
% 50.09/32.57 tff(18886,plain,
% 50.09/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex2)) | v123(constB146, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex2)) | v123(constB146, bitIndex2))),
% 50.09/32.57 inference(rewrite,[status(thm)],[])).
% 50.09/32.57 tff(18887,plain,
% 50.09/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex2)) | v123(constB146, bitIndex2))),
% 50.09/32.57 inference(quant_inst,[status(thm)],[])).
% 50.09/32.57 tff(18888,plain,
% 50.09/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex2)) | v123(constB146, bitIndex2)),
% 50.09/32.57 inference(modus_ponens,[status(thm)],[18887, 18886])).
% 50.09/32.57 tff(18889,plain,
% 50.09/32.57 ((~v121(constB145, bitIndex2)) | v123(constB146, bitIndex2)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18888, 389, 18495])).
% 50.09/32.57 tff(18890,plain,
% 50.09/32.57 (~v121(constB145, bitIndex2)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18889, 18885])).
% 50.09/32.57 tff(18891,plain,
% 50.09/32.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB145) | (~v124(constB145, bitIndex2)) | v121(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB145) | (~v124(constB145, bitIndex2)) | v121(constB145, bitIndex2))),
% 50.09/32.57 inference(rewrite,[status(thm)],[])).
% 50.09/32.57 tff(18892,plain,
% 50.09/32.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB145) | (~v124(constB145, bitIndex2)) | v121(constB145, bitIndex2))),
% 50.09/32.57 inference(quant_inst,[status(thm)],[])).
% 50.09/32.57 tff(18893,plain,
% 50.09/32.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB145) | (~v124(constB145, bitIndex2)) | v121(constB145, bitIndex2)),
% 50.09/32.57 inference(modus_ponens,[status(thm)],[18892, 18891])).
% 50.09/32.57 tff(18894,plain,
% 50.09/32.57 ((~v124(constB145, bitIndex2)) | v121(constB145, bitIndex2)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18893, 374, 18477])).
% 50.09/32.57 tff(18895,plain,
% 50.09/32.57 (~v124(constB145, bitIndex2)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18894, 18890])).
% 50.09/32.57 tff(18896,plain,
% 50.09/32.57 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB145)) | v124(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB145)) | v124(constB145, bitIndex2))),
% 50.09/32.57 inference(rewrite,[status(thm)],[])).
% 50.09/32.57 tff(18897,plain,
% 50.09/32.57 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB145)) | v124(constB145, bitIndex2))),
% 50.09/32.57 inference(quant_inst,[status(thm)],[])).
% 50.09/32.57 tff(18898,plain,
% 50.09/32.57 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB145)) | v124(constB145, bitIndex2)),
% 50.09/32.57 inference(modus_ponens,[status(thm)],[18897, 18896])).
% 50.09/32.57 tff(18899,plain,
% 50.09/32.57 (~v172(constB145)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18898, 691, 18895])).
% 50.09/32.57 tff(18900,assumption,(~v118(constB145)), introduced(assumption)).
% 50.09/32.57 tff(18901,assumption,(~v124(constB145, bitIndex0)), introduced(assumption)).
% 50.09/32.57 tff(18902,assumption,(~v172(constB145)), introduced(assumption)).
% 50.09/32.57 tff(18903,assumption,(~v145(constB145)), introduced(assumption)).
% 50.09/32.57 tff(18904,plain,
% 50.09/32.57 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB145)) | v84(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB145)) | v84(constB145, bitIndex0))),
% 50.09/32.57 inference(rewrite,[status(thm)],[])).
% 50.09/32.57 tff(18905,plain,
% 50.09/32.57 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB145)) | v84(constB145, bitIndex0))),
% 50.09/32.57 inference(quant_inst,[status(thm)],[])).
% 50.09/32.57 tff(18906,plain,
% 50.09/32.57 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB145)) | v84(constB145, bitIndex0)),
% 50.09/32.57 inference(modus_ponens,[status(thm)],[18905, 18904])).
% 50.09/32.57 tff(18907,plain,
% 50.09/32.57 (~v116(constB145)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18906, 2699, 18672])).
% 50.09/32.57 tff(18908,assumption,(~v115(constB145)), introduced(assumption)).
% 50.09/32.57 tff(18909,plain,
% 50.09/32.57 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB145, bitIndex0) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB145, bitIndex0) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145))),
% 50.09/32.57 inference(rewrite,[status(thm)],[])).
% 50.09/32.57 tff(18910,plain,
% 50.09/32.57 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0)) <=> (v124(constB145, bitIndex0) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145))),
% 50.09/32.57 inference(rewrite,[status(thm)],[])).
% 50.09/32.57 tff(18911,plain,
% 50.09/32.57 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB145, bitIndex0) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145)))),
% 50.09/32.57 inference(monotonicity,[status(thm)],[18910])).
% 50.09/32.57 tff(18912,plain,
% 50.09/32.57 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB145, bitIndex0) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145))),
% 50.09/32.57 inference(transitivity,[status(thm)],[18911, 18909])).
% 50.09/32.57 tff(18913,plain,
% 50.09/32.57 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0))),
% 50.09/32.57 inference(quant_inst,[status(thm)],[])).
% 50.09/32.57 tff(18914,plain,
% 50.09/32.57 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB145, bitIndex0) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145)),
% 50.09/32.57 inference(modus_ponens,[status(thm)],[18913, 18912])).
% 50.09/32.57 tff(18915,plain,
% 50.09/32.57 (v124(constB145, bitIndex0) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v113(constB145)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18914, 1374, 18908])).
% 50.09/32.57 tff(18916,plain,
% 50.09/32.57 (v113(constB145)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18915, 18907, 18903, 18902, 18901, 18900])).
% 50.09/32.57 tff(18917,plain,
% 50.09/32.57 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB145)) | (~v84(constB145, bitIndex2)))),
% 50.09/32.57 inference(rewrite,[status(thm)],[])).
% 50.09/32.57 tff(18918,plain,
% 50.09/32.57 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex2)))),
% 50.09/32.57 inference(quant_inst,[status(thm)],[])).
% 50.09/32.57 tff(18919,plain,
% 50.09/32.57 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB145)) | (~v84(constB145, bitIndex2))),
% 50.09/32.57 inference(modus_ponens,[status(thm)],[18918, 18917])).
% 50.09/32.57 tff(18920,plain,
% 50.09/32.57 (~v84(constB145, bitIndex2)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18919, 4280, 18916])).
% 50.09/32.57 tff(18921,plain,
% 50.09/32.57 (~v84(constB144, bitIndex2)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18396, 18920])).
% 50.09/32.57 tff(18922,plain,
% 50.09/32.57 (~v84(constB145, bitIndex1)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18552, 1058, 18916])).
% 50.09/32.57 tff(18923,plain,
% 50.09/32.57 (~v84(constB144, bitIndex1)),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18427, 18922])).
% 50.09/32.57 tff(18924,plain,
% 50.09/32.57 ($false),
% 50.09/32.57 inference(unit_resolution,[status(thm)],[18826, 18923, 18921, 18696])).
% 50.09/32.58 tff(18925,plain,(v84(constB145, bitIndex0) | v145(constB145) | v172(constB145) | v124(constB145, bitIndex0) | v118(constB145) | v115(constB145)), inference(lemma,lemma(discharge,[]))).
% 50.09/32.58 tff(18926,plain,
% 50.09/32.58 ($false),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18925, 18899, 18877, 18672, 18876, 18687, 18676])).
% 50.09/32.58 tff(18927,plain,(v84(constB145, bitIndex0) | v84(constB146, bitIndex0) | v84(constB146, bitIndex2) | v84(constB146, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 50.09/32.58 tff(18928,plain,
% 50.09/32.58 (v84(constB145, bitIndex0)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18927, 18669, 18671, 18670])).
% 50.09/32.58 tff(18929,plain,
% 50.09/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex0))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18930,plain,
% 50.09/32.58 (((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex0)) | v94(constB146) | v84(constB146, bitIndex0)) <=> ((~v84(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex0))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18931,plain,
% 50.09/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex0)) | v94(constB146) | v84(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex0)))),
% 50.09/32.58 inference(monotonicity,[status(thm)],[18930])).
% 50.09/32.58 tff(18932,plain,
% 50.09/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex0)) | v94(constB146) | v84(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex0))),
% 50.09/32.58 inference(transitivity,[status(thm)],[18931, 18929])).
% 50.09/32.58 tff(18933,plain,
% 50.09/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex0)) | v94(constB146) | v84(constB146, bitIndex0))),
% 50.09/32.58 inference(quant_inst,[status(thm)],[])).
% 50.09/32.58 tff(18934,plain,
% 50.09/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex0)),
% 50.09/32.58 inference(modus_ponens,[status(thm)],[18933, 18932])).
% 50.09/32.58 tff(18935,plain,
% 50.09/32.58 ((~v84(constB145, bitIndex0)) | v94(constB146) | v84(constB146, bitIndex0)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18934, 1439, 18495])).
% 50.09/32.58 tff(18936,plain,
% 50.09/32.58 (v94(constB146)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18935, 18928, 18669])).
% 50.09/32.58 tff(18937,plain,
% 50.09/32.58 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)) | (~v94(constB146)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)) | (~v94(constB146)))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18938,plain,
% 50.09/32.58 ((v84(constB146, bitIndex1) | (~v94(constB146)) | (~v123(constB146, bitIndex1))) <=> (v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)) | (~v94(constB146)))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18939,plain,
% 50.09/32.58 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~v94(constB146)) | (~v123(constB146, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)) | (~v94(constB146))))),
% 50.09/32.58 inference(monotonicity,[status(thm)],[18938])).
% 50.09/32.58 tff(18940,plain,
% 50.09/32.58 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~v94(constB146)) | (~v123(constB146, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)) | (~v94(constB146)))),
% 50.09/32.58 inference(transitivity,[status(thm)],[18939, 18937])).
% 50.09/32.58 tff(18941,plain,
% 50.09/32.58 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~v94(constB146)) | (~v123(constB146, bitIndex1)))),
% 50.09/32.58 inference(quant_inst,[status(thm)],[])).
% 50.09/32.58 tff(18942,plain,
% 50.09/32.58 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)) | (~v94(constB146))),
% 50.09/32.58 inference(modus_ponens,[status(thm)],[18941, 18940])).
% 50.09/32.58 tff(18943,plain,
% 50.09/32.58 ((~v123(constB146, bitIndex1)) | (~v94(constB146))),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18942, 887, 18670])).
% 50.09/32.58 tff(18944,plain,
% 50.09/32.58 (~v123(constB146, bitIndex1)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18943, 18936])).
% 50.09/32.58 tff(18945,plain,
% 50.09/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex1)) | v123(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex1)) | v123(constB146, bitIndex1))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18946,plain,
% 50.09/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex1)) | v123(constB146, bitIndex1))),
% 50.09/32.58 inference(quant_inst,[status(thm)],[])).
% 50.09/32.58 tff(18947,plain,
% 50.09/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex1)) | v123(constB146, bitIndex1)),
% 50.09/32.58 inference(modus_ponens,[status(thm)],[18946, 18945])).
% 50.09/32.58 tff(18948,plain,
% 50.09/32.58 ((~v121(constB145, bitIndex1)) | v123(constB146, bitIndex1)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18947, 872, 18495])).
% 50.09/32.58 tff(18949,plain,
% 50.09/32.58 (~v121(constB145, bitIndex1)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18948, 18944])).
% 50.09/32.58 tff(18950,plain,
% 50.09/32.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB145) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB145) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18951,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB145) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1))),
% 50.09/32.58 inference(quant_inst,[status(thm)],[])).
% 50.09/32.58 tff(18952,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB145) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1)),
% 50.09/32.58 inference(modus_ponens,[status(thm)],[18951, 18950])).
% 50.09/32.58 tff(18953,plain,
% 50.09/32.58 ((~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18952, 857, 18477])).
% 50.09/32.58 tff(18954,plain,
% 50.09/32.58 (~v124(constB145, bitIndex1)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18953, 18949])).
% 50.09/32.58 tff(18955,plain,
% 50.09/32.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB145)) | v124(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB145)) | v124(constB145, bitIndex1))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18956,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB145)) | v124(constB145, bitIndex1))),
% 50.09/32.58 inference(quant_inst,[status(thm)],[])).
% 50.09/32.58 tff(18957,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB145)) | v124(constB145, bitIndex1)),
% 50.09/32.58 inference(modus_ponens,[status(thm)],[18956, 18955])).
% 50.09/32.58 tff(18958,plain,
% 50.09/32.58 (~v118(constB145)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18957, 3117, 18954])).
% 50.09/32.58 tff(18959,plain,
% 50.09/32.58 (~v123(constB146, bitIndex0)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18843, 18936])).
% 50.09/32.58 tff(18960,plain,
% 50.09/32.58 (~v121(constB145, bitIndex0)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18848, 18959])).
% 50.09/32.58 tff(18961,plain,
% 50.09/32.58 (~v124(constB145, bitIndex0)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18853, 18960])).
% 50.09/32.58 tff(18962,plain,
% 50.09/32.58 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v172(constB145)) | (~v84(constB145, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v172(constB145)) | (~v84(constB145, bitIndex0)))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18963,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v172(constB145)) | (~v84(constB145, bitIndex0)))),
% 50.09/32.58 inference(quant_inst,[status(thm)],[])).
% 50.09/32.58 tff(18964,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v172(constB145)) | (~v84(constB145, bitIndex0))),
% 50.09/32.58 inference(modus_ponens,[status(thm)],[18963, 18962])).
% 50.09/32.58 tff(18965,plain,
% 50.09/32.58 (~v172(constB145)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18964, 3386, 18928])).
% 50.09/32.58 tff(18966,plain,
% 50.09/32.58 (~v123(constB146, bitIndex2)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18884, 18936])).
% 50.09/32.58 tff(18967,plain,
% 50.09/32.58 (~v121(constB145, bitIndex2)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18889, 18966])).
% 50.09/32.58 tff(18968,plain,
% 50.09/32.58 (~v124(constB145, bitIndex2)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18894, 18967])).
% 50.09/32.58 tff(18969,plain,
% 50.09/32.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB145)) | v124(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB145)) | v124(constB145, bitIndex2))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18970,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB145)) | v124(constB145, bitIndex2))),
% 50.09/32.58 inference(quant_inst,[status(thm)],[])).
% 50.09/32.58 tff(18971,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB145)) | v124(constB145, bitIndex2)),
% 50.09/32.58 inference(modus_ponens,[status(thm)],[18970, 18969])).
% 50.09/32.58 tff(18972,plain,
% 50.09/32.58 (~v116(constB145)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18971, 1923, 18968])).
% 50.09/32.58 tff(18973,plain,
% 50.09/32.58 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB145)) | v124(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB145)) | v124(constB145, bitIndex1))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18974,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB145)) | v124(constB145, bitIndex1))),
% 50.09/32.58 inference(quant_inst,[status(thm)],[])).
% 50.09/32.58 tff(18975,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB145)) | v124(constB145, bitIndex1)),
% 50.09/32.58 inference(modus_ponens,[status(thm)],[18974, 18973])).
% 50.09/32.58 tff(18976,plain,
% 50.09/32.58 (~v145(constB145)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18975, 1512, 18954])).
% 50.09/32.58 tff(18977,plain,
% 50.09/32.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB145)) | (~v84(constB145, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB145)) | (~v84(constB145, bitIndex0)))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18978,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB145)) | (~v84(constB145, bitIndex0)))),
% 50.09/32.58 inference(quant_inst,[status(thm)],[])).
% 50.09/32.58 tff(18979,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB145)) | (~v84(constB145, bitIndex0))),
% 50.09/32.58 inference(modus_ponens,[status(thm)],[18978, 18977])).
% 50.09/32.58 tff(18980,plain,
% 50.09/32.58 (~v115(constB145)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18979, 3238, 18928])).
% 50.09/32.58 tff(18981,plain,
% 50.09/32.58 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB145)) | (~v84(constB145, bitIndex0)))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18982,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex0)))),
% 50.09/32.58 inference(quant_inst,[status(thm)],[])).
% 50.09/32.58 tff(18983,plain,
% 50.09/32.58 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB145)) | (~v84(constB145, bitIndex0))),
% 50.09/32.58 inference(modus_ponens,[status(thm)],[18982, 18981])).
% 50.09/32.58 tff(18984,plain,
% 50.09/32.58 (~v113(constB145)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18983, 3212, 18928])).
% 50.09/32.58 tff(18985,plain,
% 50.09/32.58 ($false),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18914, 1374, 18984, 18980, 18976, 18972, 18965, 18961, 18958])).
% 50.09/32.58 tff(18986,plain,(v84(constB146, bitIndex0) | v84(constB146, bitIndex1) | v84(constB146, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 50.09/32.58 tff(18987,plain,
% 50.09/32.58 (v84(constB146, bitIndex0)),
% 50.09/32.58 inference(unit_resolution,[status(thm)],[18986, 18668, 18659])).
% 50.09/32.58 tff(18988,plain,
% 50.09/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18989,plain,
% 50.09/32.58 (((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0)) <=> ((~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))),
% 50.09/32.58 inference(rewrite,[status(thm)],[])).
% 50.09/32.58 tff(18990,plain,
% 50.09/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0)))),
% 50.09/32.58 inference(monotonicity,[status(thm)],[18989])).
% 50.09/32.59 tff(18991,plain,
% 50.09/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))),
% 50.09/32.59 inference(transitivity,[status(thm)],[18990, 18988])).
% 50.09/32.59 tff(18992,plain,
% 50.09/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(18993,plain,
% 50.09/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0)),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[18992, 18991])).
% 50.09/32.59 tff(18994,plain,
% 50.09/32.59 ((~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[18993, 1439, 18584])).
% 50.09/32.59 tff(18995,plain,
% 50.09/32.59 ((~v84(constB146, bitIndex0)) | v84(constB147, bitIndex0)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[18994, 18596])).
% 50.09/32.59 tff(18996,plain,
% 50.09/32.59 ($false),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[18995, 18987, 18650])).
% 50.09/32.59 tff(18997,plain,(v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147)), inference(lemma,lemma(discharge,[]))).
% 50.09/32.59 tff(18998,plain,
% 50.09/32.59 (v145(constB147)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[18997, 18642, 18605])).
% 50.09/32.59 tff(18999,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB147) | (~v145(constB147)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB147) | (~v145(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19000,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB147) | (~v145(constB147)))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19001,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB147) | (~v145(constB147))),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19000, 18999])).
% 50.09/32.59 tff(19002,plain,
% 50.09/32.59 (v112(constB147)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19001, 1253, 18998])).
% 50.09/32.59 tff(19003,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB147) | (~v112(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19004,plain,
% 50.09/32.59 (((~v112(constB147)) | v111(constB147)) <=> (v111(constB147) | (~v112(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19005,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB147)) | v111(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB147) | (~v112(constB147))))),
% 50.09/32.59 inference(monotonicity,[status(thm)],[19004])).
% 50.09/32.59 tff(19006,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB147)) | v111(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB147) | (~v112(constB147)))),
% 50.09/32.59 inference(transitivity,[status(thm)],[19005, 19003])).
% 50.09/32.59 tff(19007,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB147)) | v111(constB147))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19008,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB147) | (~v112(constB147))),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19007, 19006])).
% 50.09/32.59 tff(19009,plain,
% 50.09/32.59 (v111(constB147)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19008, 278, 19002])).
% 50.09/32.59 tff(19010,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB147) | (~v111(constB147)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB147) | (~v111(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19011,plain,
% 50.09/32.59 (((~v111(constB147)) | v110(constB147)) <=> (v110(constB147) | (~v111(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19012,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB147)) | v110(constB147))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB147) | (~v111(constB147))))),
% 50.09/32.59 inference(monotonicity,[status(thm)],[19011])).
% 50.09/32.59 tff(19013,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB147)) | v110(constB147))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB147) | (~v111(constB147)))),
% 50.09/32.59 inference(transitivity,[status(thm)],[19012, 19010])).
% 50.09/32.59 tff(19014,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB147)) | v110(constB147))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19015,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB147) | (~v111(constB147))),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19014, 19013])).
% 50.09/32.59 tff(19016,plain,
% 50.09/32.59 (v110(constB147)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19015, 292, 19009])).
% 50.09/32.59 tff(19017,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB147) | (~v110(constB147)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB147) | (~v110(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19018,plain,
% 50.09/32.59 (((~v110(constB147)) | v109(constB147)) <=> (v109(constB147) | (~v110(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19019,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB147)) | v109(constB147))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB147) | (~v110(constB147))))),
% 50.09/32.59 inference(monotonicity,[status(thm)],[19018])).
% 50.09/32.59 tff(19020,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB147)) | v109(constB147))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB147) | (~v110(constB147)))),
% 50.09/32.59 inference(transitivity,[status(thm)],[19019, 19017])).
% 50.09/32.59 tff(19021,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB147)) | v109(constB147))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19022,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB147) | (~v110(constB147))),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19021, 19020])).
% 50.09/32.59 tff(19023,plain,
% 50.09/32.59 (v109(constB147)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19022, 306, 19016])).
% 50.09/32.59 tff(19024,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB147)) | v108(constB147))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19025,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB147)) | v108(constB147))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19026,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB147)) | v108(constB147)),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19025, 19024])).
% 50.09/32.59 tff(19027,plain,
% 50.09/32.59 (v108(constB147)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19026, 320, 19023])).
% 50.09/32.59 tff(19028,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB147) | (~v108(constB147)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB147) | (~v108(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19029,plain,
% 50.09/32.59 (((~v108(constB147)) | v107(constB147)) <=> (v107(constB147) | (~v108(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19030,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB147)) | v107(constB147))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB147) | (~v108(constB147))))),
% 50.09/32.59 inference(monotonicity,[status(thm)],[19029])).
% 50.09/32.59 tff(19031,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB147)) | v107(constB147))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB147) | (~v108(constB147)))),
% 50.09/32.59 inference(transitivity,[status(thm)],[19030, 19028])).
% 50.09/32.59 tff(19032,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB147)) | v107(constB147))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19033,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB147) | (~v108(constB147))),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19032, 19031])).
% 50.09/32.59 tff(19034,plain,
% 50.09/32.59 (v107(constB147)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19033, 334, 19027])).
% 50.09/32.59 tff(19035,assumption,(v26(constB147)), introduced(assumption)).
% 50.09/32.59 tff(19036,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB147))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19037,plain,
% 50.09/32.59 ($false),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19036, 55, 19035])).
% 50.09/32.59 tff(19038,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 50.09/32.59 tff(19039,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | (~v107(constB147)) | v106(constB147))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB147) | (~v107(constB147)) | v106(constB147))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19040,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | (~v107(constB147)) | v106(constB147))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19041,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB147) | (~v107(constB147)) | v106(constB147)),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19040, 19039])).
% 50.09/32.59 tff(19042,plain,
% 50.09/32.59 ((~v107(constB147)) | v106(constB147)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19041, 348, 19038])).
% 50.09/32.59 tff(19043,plain,
% 50.09/32.59 (v106(constB147)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19042, 19034])).
% 50.09/32.59 tff(19044,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB147) | (~v106(constB147)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB147) | (~v106(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19045,plain,
% 50.09/32.59 (((~v106(constB147)) | v102(constB147)) <=> (v102(constB147) | (~v106(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19046,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB147)) | v102(constB147))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB147) | (~v106(constB147))))),
% 50.09/32.59 inference(monotonicity,[status(thm)],[19045])).
% 50.09/32.59 tff(19047,plain,
% 50.09/32.59 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB147)) | v102(constB147))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB147) | (~v106(constB147)))),
% 50.09/32.59 inference(transitivity,[status(thm)],[19046, 19044])).
% 50.09/32.59 tff(19048,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB147)) | v102(constB147))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19049,plain,
% 50.09/32.59 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB147) | (~v106(constB147))),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19048, 19047])).
% 50.09/32.59 tff(19050,plain,
% 50.09/32.59 (v102(constB147)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19049, 504, 19043])).
% 50.09/32.59 tff(19051,plain,
% 50.09/32.59 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19052,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 50.09/32.59 tff(19053,plain,
% 50.09/32.59 (nextState(constB147, constB148)),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19052, 19051])).
% 50.09/32.59 tff(19054,plain,
% 50.09/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19055,plain,
% 50.09/32.59 (((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148)) <=> ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19056,plain,
% 50.09/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147))))),
% 50.09/32.59 inference(monotonicity,[status(thm)],[19055])).
% 50.09/32.59 tff(19057,plain,
% 50.09/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 50.09/32.59 inference(transitivity,[status(thm)],[19056, 19054])).
% 50.09/32.59 tff(19058,plain,
% 50.09/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19059,plain,
% 50.09/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147))),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19058, 19057])).
% 50.09/32.59 tff(19060,plain,
% 50.09/32.59 (v104(constB148) | (~v102(constB147))),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19059, 489, 19053])).
% 50.09/32.59 tff(19061,plain,
% 50.09/32.59 (v104(constB148)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19060, 19050])).
% 50.09/32.59 tff(19062,plain,
% 50.09/32.59 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19063,plain,
% 50.09/32.59 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19064,plain,
% 50.09/32.59 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148))),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19063, 19062])).
% 50.09/32.59 tff(19065,plain,
% 50.09/32.59 (~v98(constB148)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19064, 423, 19053, 18581])).
% 50.09/32.59 tff(19066,plain,
% 50.09/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19067,plain,
% 50.09/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19068,plain,
% 50.09/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB147, constB148)) | v96(constB148) | v98(constB148)),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19067, 19066])).
% 50.09/32.59 tff(19069,plain,
% 50.09/32.59 (v96(constB148) | v98(constB148)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19068, 437, 19053])).
% 50.09/32.59 tff(19070,plain,
% 50.09/32.59 (v96(constB148)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19069, 19065])).
% 50.09/32.59 tff(19071,plain,
% 50.09/32.59 (v1(constB148) <=> v1(constB148)),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19072,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 50.09/32.59 tff(19073,plain,
% 50.09/32.59 (v1(constB148)),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19072, 19071])).
% 50.09/32.59 tff(19074,plain,
% 50.09/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19075,plain,
% 50.09/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))),
% 50.09/32.59 inference(quant_inst,[status(thm)],[])).
% 50.09/32.59 tff(19076,plain,
% 50.09/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148))),
% 50.09/32.59 inference(modus_ponens,[status(thm)],[19075, 19074])).
% 50.09/32.59 tff(19077,plain,
% 50.09/32.59 (v95(constB148) | (~v96(constB148))),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19076, 455, 19053, 19073])).
% 50.09/32.59 tff(19078,plain,
% 50.09/32.59 (v95(constB148)),
% 50.09/32.59 inference(unit_resolution,[status(thm)],[19077, 19070])).
% 50.09/32.59 tff(19079,plain,
% 50.09/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19080,plain,
% 50.09/32.59 (((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148)) <=> ((~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))),
% 50.09/32.59 inference(rewrite,[status(thm)],[])).
% 50.09/32.59 tff(19081,plain,
% 50.09/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148))))),
% 50.09/32.59 inference(monotonicity,[status(thm)],[19080])).
% 50.09/32.59 tff(19082,plain,
% 50.09/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))),
% 50.09/32.60 inference(transitivity,[status(thm)],[19081, 19079])).
% 50.09/32.60 tff(19083,plain,
% 50.09/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))),
% 50.09/32.60 inference(quant_inst,[status(thm)],[])).
% 50.09/32.60 tff(19084,plain,
% 50.09/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148))),
% 50.09/32.60 inference(modus_ponens,[status(thm)],[19083, 19082])).
% 50.09/32.60 tff(19085,plain,
% 50.09/32.60 (v94(constB148) | (~v95(constB148)) | (~v104(constB148))),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19084, 470, 19053])).
% 50.09/32.60 tff(19086,plain,
% 50.09/32.60 (v94(constB148) | (~v104(constB148))),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19085, 19078])).
% 50.09/32.60 tff(19087,plain,
% 50.09/32.60 (v94(constB148)),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19086, 19061])).
% 50.09/32.60 tff(19088,plain,
% 50.09/32.60 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB147)) | (~v124(constB147, bitIndex2)))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19089,plain,
% 50.09/32.60 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex2)))),
% 50.09/32.60 inference(quant_inst,[status(thm)],[])).
% 50.09/32.60 tff(19090,plain,
% 50.09/32.60 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB147)) | (~v124(constB147, bitIndex2))),
% 50.09/32.60 inference(modus_ponens,[status(thm)],[19089, 19088])).
% 50.09/32.60 tff(19091,plain,
% 50.09/32.60 (~v124(constB147, bitIndex2)),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19090, 1456, 18998])).
% 50.09/32.60 tff(19092,plain,
% 50.09/32.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19093,plain,
% 50.09/32.60 ((v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2))) <=> ((~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19094,plain,
% 50.09/32.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2)))),
% 50.09/32.60 inference(monotonicity,[status(thm)],[19093])).
% 50.09/32.60 tff(19095,plain,
% 50.09/32.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))),
% 50.09/32.60 inference(transitivity,[status(thm)],[19094, 19092])).
% 50.09/32.60 tff(19096,plain,
% 50.09/32.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))),
% 50.09/32.60 inference(quant_inst,[status(thm)],[])).
% 50.09/32.60 tff(19097,plain,
% 50.09/32.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2)),
% 50.09/32.60 inference(modus_ponens,[status(thm)],[19096, 19095])).
% 50.09/32.60 tff(19098,plain,
% 50.09/32.60 ((~v121(constB147, bitIndex2)) | v124(constB147, bitIndex2)),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19097, 1187, 19038])).
% 50.09/32.60 tff(19099,plain,
% 50.09/32.60 (~v121(constB147, bitIndex2)),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19098, 19091])).
% 50.09/32.60 tff(19100,plain,
% 50.09/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2)))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19101,plain,
% 50.09/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2)))),
% 50.09/32.60 inference(quant_inst,[status(thm)],[])).
% 50.09/32.60 tff(19102,plain,
% 50.09/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2))),
% 50.09/32.60 inference(modus_ponens,[status(thm)],[19101, 19100])).
% 50.09/32.60 tff(19103,plain,
% 50.09/32.60 (v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2))),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19102, 1205, 19053])).
% 50.09/32.60 tff(19104,plain,
% 50.09/32.60 (~v123(constB148, bitIndex2)),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19103, 19099])).
% 50.09/32.60 tff(19105,plain,
% 50.09/32.60 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19106,plain,
% 50.09/32.60 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))),
% 50.09/32.60 inference(quant_inst,[status(thm)],[])).
% 50.09/32.60 tff(19107,plain,
% 50.09/32.60 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148))),
% 50.09/32.60 inference(modus_ponens,[status(thm)],[19106, 19105])).
% 50.09/32.60 tff(19108,plain,
% 50.09/32.60 ((~v84(constB148, bitIndex2)) | (~v94(constB148))),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19107, 1220, 19104])).
% 50.09/32.60 tff(19109,plain,
% 50.09/32.60 (~v84(constB148, bitIndex2)),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19108, 19087])).
% 50.09/32.60 tff(19110,plain,
% 50.09/32.60 ((~v1(constB149)) <=> (~v1(constB149))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19111,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 50.09/32.60 tff(19112,plain,
% 50.09/32.60 (~v1(constB149)),
% 50.09/32.60 inference(modus_ponens,[status(thm)],[19111, 19110])).
% 50.09/32.60 tff(19113,plain,
% 50.09/32.60 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19114,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 50.09/32.60 tff(19115,plain,
% 50.09/32.60 (nextState(constB148, constB149)),
% 50.09/32.60 inference(modus_ponens,[status(thm)],[19114, 19113])).
% 50.09/32.60 tff(19116,plain,
% 50.09/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19117,plain,
% 50.09/32.60 (((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19118,plain,
% 50.09/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149))))),
% 50.09/32.60 inference(monotonicity,[status(thm)],[19117])).
% 50.09/32.60 tff(19119,plain,
% 50.09/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 50.09/32.60 inference(transitivity,[status(thm)],[19118, 19116])).
% 50.09/32.60 tff(19120,plain,
% 50.09/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))),
% 50.09/32.60 inference(quant_inst,[status(thm)],[])).
% 50.09/32.60 tff(19121,plain,
% 50.09/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149))),
% 50.09/32.60 inference(modus_ponens,[status(thm)],[19120, 19119])).
% 50.09/32.60 tff(19122,plain,
% 50.09/32.60 (~v95(constB149)),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19121, 110, 19115, 19112])).
% 50.09/32.60 tff(19123,plain,
% 50.09/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19124,plain,
% 50.09/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))),
% 50.09/32.60 inference(quant_inst,[status(thm)],[])).
% 50.09/32.60 tff(19125,plain,
% 50.09/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149))),
% 50.09/32.60 inference(modus_ponens,[status(thm)],[19124, 19123])).
% 50.09/32.60 tff(19126,plain,
% 50.09/32.60 (v95(constB149) | (~v94(constB149))),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19125, 127, 19115])).
% 50.09/32.60 tff(19127,plain,
% 50.09/32.60 (~v94(constB149)),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19126, 19122])).
% 50.09/32.60 tff(19128,plain,
% 50.09/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19129,plain,
% 50.09/32.60 (((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2))) <=> (v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19130,plain,
% 50.09/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2))))),
% 50.09/32.60 inference(monotonicity,[status(thm)],[19129])).
% 50.09/32.60 tff(19131,plain,
% 50.09/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 50.09/32.60 inference(transitivity,[status(thm)],[19130, 19128])).
% 50.09/32.60 tff(19132,plain,
% 50.09/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 50.09/32.60 inference(quant_inst,[status(thm)],[])).
% 50.09/32.60 tff(19133,plain,
% 50.09/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2))),
% 50.09/32.60 inference(modus_ponens,[status(thm)],[19132, 19131])).
% 50.09/32.60 tff(19134,plain,
% 50.09/32.60 (v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2))),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19133, 142, 19115])).
% 50.09/32.60 tff(19135,plain,
% 50.09/32.60 (v84(constB148, bitIndex2) | (~v84(constB149, bitIndex2))),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19134, 19127])).
% 50.09/32.60 tff(19136,plain,
% 50.09/32.60 (~v84(constB149, bitIndex2)),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19135, 19109])).
% 50.09/32.60 tff(19137,plain,
% 50.09/32.60 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB147)) | v124(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB147)) | v124(constB147, bitIndex1))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19138,plain,
% 50.09/32.60 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB147)) | v124(constB147, bitIndex1))),
% 50.09/32.60 inference(quant_inst,[status(thm)],[])).
% 50.09/32.60 tff(19139,plain,
% 50.09/32.60 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB147)) | v124(constB147, bitIndex1)),
% 50.09/32.60 inference(modus_ponens,[status(thm)],[19138, 19137])).
% 50.09/32.60 tff(19140,plain,
% 50.09/32.60 (v124(constB147, bitIndex1)),
% 50.09/32.60 inference(unit_resolution,[status(thm)],[19139, 1512, 18998])).
% 50.09/32.60 tff(19141,plain,
% 50.09/32.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1))),
% 50.09/32.60 inference(rewrite,[status(thm)],[])).
% 50.09/32.60 tff(19142,plain,
% 50.09/32.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1))),
% 50.09/32.60 inference(quant_inst,[status(thm)],[])).
% 50.09/32.60 tff(19143,plain,
% 50.09/32.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1)),
% 50.09/32.60 inference(modus_ponens,[status(thm)],[19142, 19141])).
% 50.09/32.61 tff(19144,plain,
% 50.09/32.61 ((~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1)),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19143, 857, 19038])).
% 50.09/32.61 tff(19145,plain,
% 50.09/32.61 (v121(constB147, bitIndex1)),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19144, 19140])).
% 50.09/32.61 tff(19146,plain,
% 50.09/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1))),
% 50.09/32.61 inference(rewrite,[status(thm)],[])).
% 50.09/32.61 tff(19147,plain,
% 50.09/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1))),
% 50.09/32.61 inference(quant_inst,[status(thm)],[])).
% 50.09/32.61 tff(19148,plain,
% 50.09/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1)),
% 50.09/32.61 inference(modus_ponens,[status(thm)],[19147, 19146])).
% 50.09/32.61 tff(19149,plain,
% 50.09/32.61 ((~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1)),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19148, 872, 19053])).
% 50.09/32.61 tff(19150,plain,
% 50.09/32.61 (v123(constB148, bitIndex1)),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19149, 19145])).
% 50.09/32.61 tff(19151,plain,
% 50.09/32.61 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))),
% 50.09/32.61 inference(rewrite,[status(thm)],[])).
% 50.09/32.61 tff(19152,plain,
% 50.09/32.61 ((v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1))) <=> (v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))),
% 50.09/32.61 inference(rewrite,[status(thm)],[])).
% 50.09/32.61 tff(19153,plain,
% 50.09/32.61 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148))))),
% 50.09/32.61 inference(monotonicity,[status(thm)],[19152])).
% 50.09/32.61 tff(19154,plain,
% 50.09/32.61 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))),
% 50.09/32.61 inference(transitivity,[status(thm)],[19153, 19151])).
% 50.09/32.61 tff(19155,plain,
% 50.09/32.61 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1)))),
% 50.09/32.61 inference(quant_inst,[status(thm)],[])).
% 50.09/32.61 tff(19156,plain,
% 50.09/32.61 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148))),
% 50.09/32.61 inference(modus_ponens,[status(thm)],[19155, 19154])).
% 50.09/32.61 tff(19157,plain,
% 50.09/32.61 (v84(constB148, bitIndex1) | (~v94(constB148))),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19156, 887, 19150])).
% 50.09/32.61 tff(19158,plain,
% 50.09/32.61 (v84(constB148, bitIndex1)),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19157, 19087])).
% 50.09/32.61 tff(19159,plain,
% 50.09/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))),
% 50.09/32.61 inference(rewrite,[status(thm)],[])).
% 50.09/32.61 tff(19160,plain,
% 50.09/32.61 (((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1)) <=> ((~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))),
% 50.09/32.61 inference(rewrite,[status(thm)],[])).
% 50.09/32.61 tff(19161,plain,
% 50.09/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1)))),
% 50.09/32.61 inference(monotonicity,[status(thm)],[19160])).
% 50.09/32.61 tff(19162,plain,
% 50.09/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))),
% 50.09/32.61 inference(transitivity,[status(thm)],[19161, 19159])).
% 50.09/32.61 tff(19163,plain,
% 50.09/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1))),
% 50.09/32.61 inference(quant_inst,[status(thm)],[])).
% 50.09/32.61 tff(19164,plain,
% 50.09/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1)),
% 50.09/32.61 inference(modus_ponens,[status(thm)],[19163, 19162])).
% 50.09/32.61 tff(19165,plain,
% 50.09/32.61 ((~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1)),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19164, 905, 19115])).
% 50.09/32.61 tff(19166,plain,
% 50.09/32.61 ((~v84(constB148, bitIndex1)) | v84(constB149, bitIndex1)),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19165, 19127])).
% 50.09/32.61 tff(19167,plain,
% 50.09/32.61 (v84(constB149, bitIndex1)),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19166, 19158])).
% 50.09/32.61 tff(19168,plain,
% 50.09/32.61 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB147)) | (~v124(constB147, bitIndex0)))),
% 50.09/32.61 inference(rewrite,[status(thm)],[])).
% 50.09/32.61 tff(19169,plain,
% 50.09/32.61 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex0)))),
% 50.09/32.61 inference(quant_inst,[status(thm)],[])).
% 50.09/32.61 tff(19170,plain,
% 50.09/32.61 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB147)) | (~v124(constB147, bitIndex0))),
% 50.09/32.61 inference(modus_ponens,[status(thm)],[19169, 19168])).
% 50.09/32.61 tff(19171,plain,
% 50.09/32.61 (~v124(constB147, bitIndex0)),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19170, 1550, 18998])).
% 50.09/32.61 tff(19172,plain,
% 50.09/32.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))),
% 50.09/32.61 inference(rewrite,[status(thm)],[])).
% 50.09/32.61 tff(19173,plain,
% 50.09/32.61 ((v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0))) <=> ((~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))),
% 50.09/32.61 inference(rewrite,[status(thm)],[])).
% 50.09/32.61 tff(19174,plain,
% 50.09/32.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0)))),
% 50.09/32.61 inference(monotonicity,[status(thm)],[19173])).
% 50.09/32.61 tff(19175,plain,
% 50.09/32.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))),
% 50.09/32.61 inference(transitivity,[status(thm)],[19174, 19172])).
% 50.09/32.61 tff(19176,plain,
% 50.09/32.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))),
% 50.09/32.61 inference(quant_inst,[status(thm)],[])).
% 50.09/32.61 tff(19177,plain,
% 50.09/32.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0)),
% 50.09/32.61 inference(modus_ponens,[status(thm)],[19176, 19175])).
% 50.09/32.61 tff(19178,plain,
% 50.09/32.61 ((~v121(constB147, bitIndex0)) | v124(constB147, bitIndex0)),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19177, 607, 19038])).
% 50.09/32.61 tff(19179,plain,
% 50.09/32.61 (~v121(constB147, bitIndex0)),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19178, 19171])).
% 50.09/32.61 tff(19180,plain,
% 50.09/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0)))),
% 50.09/32.61 inference(rewrite,[status(thm)],[])).
% 50.09/32.61 tff(19181,plain,
% 50.09/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0)))),
% 50.09/32.61 inference(quant_inst,[status(thm)],[])).
% 50.09/32.61 tff(19182,plain,
% 50.09/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0))),
% 50.09/32.61 inference(modus_ponens,[status(thm)],[19181, 19180])).
% 50.09/32.61 tff(19183,plain,
% 50.09/32.61 (v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0))),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19182, 637, 19053])).
% 50.09/32.61 tff(19184,plain,
% 50.09/32.61 (~v123(constB148, bitIndex0)),
% 50.09/32.61 inference(unit_resolution,[status(thm)],[19183, 19179])).
% 50.09/32.61 tff(19185,plain,
% 50.09/32.61 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))),
% 50.09/32.61 inference(rewrite,[status(thm)],[])).
% 50.09/32.61 tff(19186,plain,
% 50.09/32.61 (((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0)) <=> ((~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))),
% 50.09/32.61 inference(rewrite,[status(thm)],[])).
% 50.09/32.61 tff(19187,plain,
% 50.09/32.61 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148))))),
% 50.09/32.61 inference(monotonicity,[status(thm)],[19186])).
% 50.09/32.61 tff(19188,plain,
% 50.09/32.61 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))),
% 50.09/32.62 inference(transitivity,[status(thm)],[19187, 19185])).
% 50.09/32.62 tff(19189,plain,
% 50.09/32.62 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0))),
% 50.09/32.62 inference(quant_inst,[status(thm)],[])).
% 50.09/32.62 tff(19190,plain,
% 50.09/32.62 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148))),
% 50.09/32.62 inference(modus_ponens,[status(thm)],[19189, 19188])).
% 50.09/32.62 tff(19191,plain,
% 50.09/32.62 ((~v84(constB148, bitIndex0)) | (~v94(constB148))),
% 50.09/32.62 inference(unit_resolution,[status(thm)],[19190, 652, 19184])).
% 50.09/32.62 tff(19192,plain,
% 50.09/32.62 (~v84(constB148, bitIndex0)),
% 50.09/32.62 inference(unit_resolution,[status(thm)],[19191, 19087])).
% 50.09/32.62 tff(19193,plain,
% 50.09/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 50.09/32.62 inference(rewrite,[status(thm)],[])).
% 50.09/32.62 tff(19194,plain,
% 50.09/32.62 (((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0))) <=> (v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 50.09/32.62 inference(rewrite,[status(thm)],[])).
% 50.09/32.62 tff(19195,plain,
% 50.09/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0))))),
% 50.09/32.62 inference(monotonicity,[status(thm)],[19194])).
% 50.09/32.62 tff(19196,plain,
% 50.09/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 50.09/32.62 inference(transitivity,[status(thm)],[19195, 19193])).
% 50.09/32.62 tff(19197,plain,
% 50.09/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 50.09/32.62 inference(quant_inst,[status(thm)],[])).
% 50.09/32.62 tff(19198,plain,
% 50.09/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0))),
% 50.09/32.62 inference(modus_ponens,[status(thm)],[19197, 19196])).
% 50.09/32.62 tff(19199,plain,
% 50.09/32.62 (v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0))),
% 50.09/32.62 inference(unit_resolution,[status(thm)],[19198, 184, 19115])).
% 50.09/32.62 tff(19200,plain,
% 50.09/32.62 (v84(constB148, bitIndex0) | (~v84(constB149, bitIndex0))),
% 50.09/32.62 inference(unit_resolution,[status(thm)],[19199, 19127])).
% 50.09/32.62 tff(19201,plain,
% 50.09/32.62 (~v84(constB149, bitIndex0)),
% 50.09/32.62 inference(unit_resolution,[status(thm)],[19200, 19192])).
% 50.09/32.62 tff(19202,plain,
% 50.09/32.62 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149))),
% 50.09/32.62 inference(rewrite,[status(thm)],[])).
% 50.09/32.62 tff(19203,plain,
% 50.09/32.62 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149))),
% 50.09/32.62 inference(quant_inst,[status(thm)],[])).
% 50.09/32.62 tff(19204,plain,
% 50.09/32.62 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149)),
% 50.09/32.62 inference(modus_ponens,[status(thm)],[19203, 19202])).
% 50.09/32.62 tff(19205,plain,
% 50.09/32.62 (v115(constB149)),
% 50.09/32.62 inference(unit_resolution,[status(thm)],[19204, 1594, 19201, 19167, 19136])).
% 50.09/32.62 tff(19206,plain,
% 50.09/32.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB149)) | v111(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB149)) | v111(constB149))),
% 50.09/32.62 inference(rewrite,[status(thm)],[])).
% 50.09/32.62 tff(19207,plain,
% 50.09/32.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB149)) | v111(constB149))),
% 50.09/32.62 inference(quant_inst,[status(thm)],[])).
% 50.09/32.62 tff(19208,plain,
% 50.09/32.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB149)) | v111(constB149)),
% 50.09/32.62 inference(modus_ponens,[status(thm)],[19207, 19206])).
% 50.09/32.62 tff(19209,plain,
% 50.09/32.62 (v111(constB149)),
% 50.09/32.62 inference(unit_resolution,[status(thm)],[19208, 1605, 19205])).
% 50.09/32.62 tff(19210,plain,
% 50.09/32.62 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB149)) | v110(constB149))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB149)) | v110(constB149))),
% 50.09/32.62 inference(rewrite,[status(thm)],[])).
% 50.09/32.62 tff(19211,plain,
% 50.09/32.62 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB149)) | v110(constB149))),
% 50.09/32.62 inference(quant_inst,[status(thm)],[])).
% 50.09/32.62 tff(19212,plain,
% 50.09/32.62 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB149)) | v110(constB149)),
% 50.09/32.62 inference(modus_ponens,[status(thm)],[19211, 19210])).
% 50.09/32.62 tff(19213,plain,
% 50.09/32.62 (v110(constB149)),
% 50.09/32.62 inference(unit_resolution,[status(thm)],[19212, 292, 19209])).
% 50.09/32.62 tff(19214,plain,
% 50.09/32.62 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB149) | (~v110(constB149)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB149) | (~v110(constB149)))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19215,plain,
% 50.15/32.62 (((~v110(constB149)) | v109(constB149)) <=> (v109(constB149) | (~v110(constB149)))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19216,plain,
% 50.15/32.62 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB149)) | v109(constB149))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB149) | (~v110(constB149))))),
% 50.15/32.62 inference(monotonicity,[status(thm)],[19215])).
% 50.15/32.62 tff(19217,plain,
% 50.15/32.62 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB149)) | v109(constB149))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB149) | (~v110(constB149)))),
% 50.15/32.62 inference(transitivity,[status(thm)],[19216, 19214])).
% 50.15/32.62 tff(19218,plain,
% 50.15/32.62 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB149)) | v109(constB149))),
% 50.15/32.62 inference(quant_inst,[status(thm)],[])).
% 50.15/32.62 tff(19219,plain,
% 50.15/32.62 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB149) | (~v110(constB149))),
% 50.15/32.62 inference(modus_ponens,[status(thm)],[19218, 19217])).
% 50.15/32.62 tff(19220,plain,
% 50.15/32.62 (v109(constB149)),
% 50.15/32.62 inference(unit_resolution,[status(thm)],[19219, 306, 19213])).
% 50.15/32.62 tff(19221,plain,
% 50.15/32.62 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB149)) | v108(constB149))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19222,plain,
% 50.15/32.62 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB149)) | v108(constB149))),
% 50.15/32.62 inference(quant_inst,[status(thm)],[])).
% 50.15/32.62 tff(19223,plain,
% 50.15/32.62 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB149)) | v108(constB149)),
% 50.15/32.62 inference(modus_ponens,[status(thm)],[19222, 19221])).
% 50.15/32.62 tff(19224,plain,
% 50.15/32.62 (v108(constB149)),
% 50.15/32.62 inference(unit_resolution,[status(thm)],[19223, 320, 19220])).
% 50.15/32.62 tff(19225,plain,
% 50.15/32.62 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB149) | (~v108(constB149)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB149) | (~v108(constB149)))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19226,plain,
% 50.15/32.62 (((~v108(constB149)) | v107(constB149)) <=> (v107(constB149) | (~v108(constB149)))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19227,plain,
% 50.15/32.62 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB149)) | v107(constB149))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB149) | (~v108(constB149))))),
% 50.15/32.62 inference(monotonicity,[status(thm)],[19226])).
% 50.15/32.62 tff(19228,plain,
% 50.15/32.62 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB149)) | v107(constB149))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB149) | (~v108(constB149)))),
% 50.15/32.62 inference(transitivity,[status(thm)],[19227, 19225])).
% 50.15/32.62 tff(19229,plain,
% 50.15/32.62 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB149)) | v107(constB149))),
% 50.15/32.62 inference(quant_inst,[status(thm)],[])).
% 50.15/32.62 tff(19230,plain,
% 50.15/32.62 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB149) | (~v108(constB149))),
% 50.15/32.62 inference(modus_ponens,[status(thm)],[19229, 19228])).
% 50.15/32.62 tff(19231,plain,
% 50.15/32.62 (v107(constB149)),
% 50.15/32.62 inference(unit_resolution,[status(thm)],[19230, 334, 19224])).
% 50.15/32.62 tff(19232,assumption,(v26(constB149)), introduced(assumption)).
% 50.15/32.62 tff(19233,plain,
% 50.15/32.62 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB149))),
% 50.15/32.62 inference(quant_inst,[status(thm)],[])).
% 50.15/32.62 tff(19234,plain,
% 50.15/32.62 ($false),
% 50.15/32.62 inference(unit_resolution,[status(thm)],[19233, 55, 19232])).
% 50.15/32.62 tff(19235,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 50.15/32.62 tff(19236,plain,
% 50.15/32.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | v106(constB149) | (~v107(constB149)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB149) | v106(constB149) | (~v107(constB149)))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19237,plain,
% 50.15/32.62 ((v26(constB149) | (~v107(constB149)) | v106(constB149)) <=> (v26(constB149) | v106(constB149) | (~v107(constB149)))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19238,plain,
% 50.15/32.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | (~v107(constB149)) | v106(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | v106(constB149) | (~v107(constB149))))),
% 50.15/32.62 inference(monotonicity,[status(thm)],[19237])).
% 50.15/32.62 tff(19239,plain,
% 50.15/32.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | (~v107(constB149)) | v106(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB149) | v106(constB149) | (~v107(constB149)))),
% 50.15/32.62 inference(transitivity,[status(thm)],[19238, 19236])).
% 50.15/32.62 tff(19240,plain,
% 50.15/32.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | (~v107(constB149)) | v106(constB149))),
% 50.15/32.62 inference(quant_inst,[status(thm)],[])).
% 50.15/32.62 tff(19241,plain,
% 50.15/32.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB149) | v106(constB149) | (~v107(constB149))),
% 50.15/32.62 inference(modus_ponens,[status(thm)],[19240, 19239])).
% 50.15/32.62 tff(19242,plain,
% 50.15/32.62 (v106(constB149) | (~v107(constB149))),
% 50.15/32.62 inference(unit_resolution,[status(thm)],[19241, 348, 19235])).
% 50.15/32.62 tff(19243,plain,
% 50.15/32.62 (v106(constB149)),
% 50.15/32.62 inference(unit_resolution,[status(thm)],[19242, 19231])).
% 50.15/32.62 tff(19244,plain,
% 50.15/32.62 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB149) | (~v106(constB149)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB149) | (~v106(constB149)))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19245,plain,
% 50.15/32.62 (((~v106(constB149)) | v102(constB149)) <=> (v102(constB149) | (~v106(constB149)))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19246,plain,
% 50.15/32.62 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB149)) | v102(constB149))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB149) | (~v106(constB149))))),
% 50.15/32.62 inference(monotonicity,[status(thm)],[19245])).
% 50.15/32.62 tff(19247,plain,
% 50.15/32.62 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB149)) | v102(constB149))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB149) | (~v106(constB149)))),
% 50.15/32.62 inference(transitivity,[status(thm)],[19246, 19244])).
% 50.15/32.62 tff(19248,plain,
% 50.15/32.62 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB149)) | v102(constB149))),
% 50.15/32.62 inference(quant_inst,[status(thm)],[])).
% 50.15/32.62 tff(19249,plain,
% 50.15/32.62 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB149) | (~v106(constB149))),
% 50.15/32.62 inference(modus_ponens,[status(thm)],[19248, 19247])).
% 50.15/32.62 tff(19250,plain,
% 50.15/32.62 (v102(constB149)),
% 50.15/32.62 inference(unit_resolution,[status(thm)],[19249, 504, 19243])).
% 50.15/32.62 tff(19251,plain,
% 50.15/32.62 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19252,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 50.15/32.62 tff(19253,plain,
% 50.15/32.62 (nextState(constB149, constB150)),
% 50.15/32.62 inference(modus_ponens,[status(thm)],[19252, 19251])).
% 50.15/32.62 tff(19254,plain,
% 50.15/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19255,plain,
% 50.15/32.62 (((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150)) <=> ((~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19256,plain,
% 50.15/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149))))),
% 50.15/32.62 inference(monotonicity,[status(thm)],[19255])).
% 50.15/32.62 tff(19257,plain,
% 50.15/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))),
% 50.15/32.62 inference(transitivity,[status(thm)],[19256, 19254])).
% 50.15/32.62 tff(19258,plain,
% 50.15/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150))),
% 50.15/32.62 inference(quant_inst,[status(thm)],[])).
% 50.15/32.62 tff(19259,plain,
% 50.15/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149))),
% 50.15/32.62 inference(modus_ponens,[status(thm)],[19258, 19257])).
% 50.15/32.62 tff(19260,plain,
% 50.15/32.62 (v104(constB150) | (~v102(constB149))),
% 50.15/32.62 inference(unit_resolution,[status(thm)],[19259, 489, 19253])).
% 50.15/32.62 tff(19261,plain,
% 50.15/32.62 (v104(constB150)),
% 50.15/32.62 inference(unit_resolution,[status(thm)],[19260, 19250])).
% 50.15/32.62 tff(19262,plain,
% 50.15/32.62 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150)))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19263,plain,
% 50.15/32.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150)))),
% 50.15/32.62 inference(quant_inst,[status(thm)],[])).
% 50.15/32.62 tff(19264,plain,
% 50.15/32.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150))),
% 50.15/32.62 inference(modus_ponens,[status(thm)],[19263, 19262])).
% 50.15/32.62 tff(19265,plain,
% 50.15/32.62 (~v98(constB150)),
% 50.15/32.62 inference(unit_resolution,[status(thm)],[19264, 423, 19253, 19112])).
% 50.15/32.62 tff(19266,plain,
% 50.15/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB149, constB150)) | v96(constB150) | v98(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB149, constB150)) | v96(constB150) | v98(constB150))),
% 50.15/32.62 inference(rewrite,[status(thm)],[])).
% 50.15/32.62 tff(19267,plain,
% 50.15/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB149, constB150)) | v96(constB150) | v98(constB150))),
% 50.15/32.62 inference(quant_inst,[status(thm)],[])).
% 50.15/32.62 tff(19268,plain,
% 50.15/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB149, constB150)) | v96(constB150) | v98(constB150)),
% 50.15/32.62 inference(modus_ponens,[status(thm)],[19267, 19266])).
% 50.15/32.62 tff(19269,plain,
% 50.15/32.62 (v96(constB150) | v98(constB150)),
% 50.15/32.62 inference(unit_resolution,[status(thm)],[19268, 437, 19253])).
% 50.15/32.62 tff(19270,plain,
% 50.15/32.62 (v96(constB150)),
% 50.15/32.62 inference(unit_resolution,[status(thm)],[19269, 19265])).
% 50.15/32.63 tff(19271,plain,
% 50.15/32.63 (v1(constB150) <=> v1(constB150)),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19272,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 50.15/32.63 tff(19273,plain,
% 50.15/32.63 (v1(constB150)),
% 50.15/32.63 inference(modus_ponens,[status(thm)],[19272, 19271])).
% 50.15/32.63 tff(19274,plain,
% 50.15/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150)))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19275,plain,
% 50.15/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150)))),
% 50.15/32.63 inference(quant_inst,[status(thm)],[])).
% 50.15/32.63 tff(19276,plain,
% 50.15/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150))),
% 50.15/32.63 inference(modus_ponens,[status(thm)],[19275, 19274])).
% 50.15/32.63 tff(19277,plain,
% 50.15/32.63 (v95(constB150) | (~v96(constB150))),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19276, 455, 19253, 19273])).
% 50.15/32.63 tff(19278,plain,
% 50.15/32.63 (v95(constB150)),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19277, 19270])).
% 50.15/32.63 tff(19279,plain,
% 50.15/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19280,plain,
% 50.15/32.63 (((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150)) <=> ((~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19281,plain,
% 50.15/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150))))),
% 50.15/32.63 inference(monotonicity,[status(thm)],[19280])).
% 50.15/32.63 tff(19282,plain,
% 50.15/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))),
% 50.15/32.63 inference(transitivity,[status(thm)],[19281, 19279])).
% 50.15/32.63 tff(19283,plain,
% 50.15/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150))),
% 50.15/32.63 inference(quant_inst,[status(thm)],[])).
% 50.15/32.63 tff(19284,plain,
% 50.15/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150))),
% 50.15/32.63 inference(modus_ponens,[status(thm)],[19283, 19282])).
% 50.15/32.63 tff(19285,plain,
% 50.15/32.63 (v94(constB150) | (~v95(constB150)) | (~v104(constB150))),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19284, 470, 19253])).
% 50.15/32.63 tff(19286,plain,
% 50.15/32.63 (v94(constB150) | (~v104(constB150))),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19285, 19278])).
% 50.15/32.63 tff(19287,plain,
% 50.15/32.63 (v94(constB150)),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19286, 19261])).
% 50.15/32.63 tff(19288,plain,
% 50.15/32.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB149)) | (~v124(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB149)) | (~v124(constB149, bitIndex2)))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19289,plain,
% 50.15/32.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB149)) | (~v124(constB149, bitIndex2)))),
% 50.15/32.63 inference(quant_inst,[status(thm)],[])).
% 50.15/32.63 tff(19290,plain,
% 50.15/32.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB149)) | (~v124(constB149, bitIndex2))),
% 50.15/32.63 inference(modus_ponens,[status(thm)],[19289, 19288])).
% 50.15/32.63 tff(19291,plain,
% 50.15/32.63 (~v124(constB149, bitIndex2)),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19290, 1690, 19205])).
% 50.15/32.63 tff(19292,plain,
% 50.15/32.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19293,plain,
% 50.15/32.63 ((v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2))) <=> ((~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19294,plain,
% 50.15/32.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2)))),
% 50.15/32.63 inference(monotonicity,[status(thm)],[19293])).
% 50.15/32.63 tff(19295,plain,
% 50.15/32.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))),
% 50.15/32.63 inference(transitivity,[status(thm)],[19294, 19292])).
% 50.15/32.63 tff(19296,plain,
% 50.15/32.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2)))),
% 50.15/32.63 inference(quant_inst,[status(thm)],[])).
% 50.15/32.63 tff(19297,plain,
% 50.15/32.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2)),
% 50.15/32.63 inference(modus_ponens,[status(thm)],[19296, 19295])).
% 50.15/32.63 tff(19298,plain,
% 50.15/32.63 ((~v121(constB149, bitIndex2)) | v124(constB149, bitIndex2)),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19297, 1187, 19235])).
% 50.15/32.63 tff(19299,plain,
% 50.15/32.63 (~v121(constB149, bitIndex2)),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19298, 19291])).
% 50.15/32.63 tff(19300,plain,
% 50.15/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2)))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19301,plain,
% 50.15/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2)))),
% 50.15/32.63 inference(quant_inst,[status(thm)],[])).
% 50.15/32.63 tff(19302,plain,
% 50.15/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2))),
% 50.15/32.63 inference(modus_ponens,[status(thm)],[19301, 19300])).
% 50.15/32.63 tff(19303,plain,
% 50.15/32.63 (v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2))),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19302, 1205, 19253])).
% 50.15/32.63 tff(19304,plain,
% 50.15/32.63 (~v123(constB150, bitIndex2)),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19303, 19299])).
% 50.15/32.63 tff(19305,plain,
% 50.15/32.63 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19306,plain,
% 50.15/32.63 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))),
% 50.15/32.63 inference(quant_inst,[status(thm)],[])).
% 50.15/32.63 tff(19307,plain,
% 50.15/32.63 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150))),
% 50.15/32.63 inference(modus_ponens,[status(thm)],[19306, 19305])).
% 50.15/32.63 tff(19308,plain,
% 50.15/32.63 ((~v84(constB150, bitIndex2)) | (~v94(constB150))),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19307, 1220, 19304])).
% 50.15/32.63 tff(19309,plain,
% 50.15/32.63 (~v84(constB150, bitIndex2)),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19308, 19287])).
% 50.15/32.63 tff(19310,plain,
% 50.15/32.63 ((~v1(constB151)) <=> (~v1(constB151))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19311,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 50.15/32.63 tff(19312,plain,
% 50.15/32.63 (~v1(constB151)),
% 50.15/32.63 inference(modus_ponens,[status(thm)],[19311, 19310])).
% 50.15/32.63 tff(19313,plain,
% 50.15/32.63 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19314,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 50.15/32.63 tff(19315,plain,
% 50.15/32.63 (nextState(constB150, constB151)),
% 50.15/32.63 inference(modus_ponens,[status(thm)],[19314, 19313])).
% 50.15/32.63 tff(19316,plain,
% 50.15/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19317,plain,
% 50.15/32.63 (((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19318,plain,
% 50.15/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151))))),
% 50.15/32.63 inference(monotonicity,[status(thm)],[19317])).
% 50.15/32.63 tff(19319,plain,
% 50.15/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))),
% 50.15/32.63 inference(transitivity,[status(thm)],[19318, 19316])).
% 50.15/32.63 tff(19320,plain,
% 50.15/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151))),
% 50.15/32.63 inference(quant_inst,[status(thm)],[])).
% 50.15/32.63 tff(19321,plain,
% 50.15/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151))),
% 50.15/32.63 inference(modus_ponens,[status(thm)],[19320, 19319])).
% 50.15/32.63 tff(19322,plain,
% 50.15/32.63 (~v95(constB151)),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19321, 110, 19315, 19312])).
% 50.15/32.63 tff(19323,plain,
% 50.15/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151)))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19324,plain,
% 50.15/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151)))),
% 50.15/32.63 inference(quant_inst,[status(thm)],[])).
% 50.15/32.63 tff(19325,plain,
% 50.15/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151))),
% 50.15/32.63 inference(modus_ponens,[status(thm)],[19324, 19323])).
% 50.15/32.63 tff(19326,plain,
% 50.15/32.63 (v95(constB151) | (~v94(constB151))),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19325, 127, 19315])).
% 50.15/32.63 tff(19327,plain,
% 50.15/32.63 (~v94(constB151)),
% 50.15/32.63 inference(unit_resolution,[status(thm)],[19326, 19322])).
% 50.15/32.63 tff(19328,plain,
% 50.15/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19329,plain,
% 50.15/32.63 (((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2))) <=> (v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 50.15/32.63 inference(rewrite,[status(thm)],[])).
% 50.15/32.63 tff(19330,plain,
% 50.15/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2))))),
% 50.15/32.63 inference(monotonicity,[status(thm)],[19329])).
% 50.15/32.63 tff(19331,plain,
% 50.15/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 50.15/32.64 inference(transitivity,[status(thm)],[19330, 19328])).
% 50.15/32.64 tff(19332,plain,
% 50.15/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 50.15/32.64 inference(quant_inst,[status(thm)],[])).
% 50.15/32.64 tff(19333,plain,
% 50.15/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2))),
% 50.15/32.64 inference(modus_ponens,[status(thm)],[19332, 19331])).
% 50.15/32.64 tff(19334,plain,
% 50.15/32.64 (v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2))),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19333, 142, 19315])).
% 50.15/32.64 tff(19335,plain,
% 50.15/32.64 (v84(constB150, bitIndex2) | (~v84(constB151, bitIndex2))),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19334, 19327])).
% 50.15/32.64 tff(19336,plain,
% 50.15/32.64 (~v84(constB151, bitIndex2)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19335, 19309])).
% 50.15/32.64 tff(19337,plain,
% 50.15/32.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB149)) | v124(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB149)) | v124(constB149, bitIndex1))),
% 50.15/32.64 inference(rewrite,[status(thm)],[])).
% 50.15/32.64 tff(19338,plain,
% 50.15/32.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB149)) | v124(constB149, bitIndex1))),
% 50.15/32.64 inference(quant_inst,[status(thm)],[])).
% 50.15/32.64 tff(19339,plain,
% 50.15/32.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB149)) | v124(constB149, bitIndex1)),
% 50.15/32.64 inference(modus_ponens,[status(thm)],[19338, 19337])).
% 50.15/32.64 tff(19340,plain,
% 50.15/32.64 (v124(constB149, bitIndex1)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19339, 1746, 19205])).
% 50.15/32.64 tff(19341,plain,
% 50.15/32.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1))),
% 50.15/32.64 inference(rewrite,[status(thm)],[])).
% 50.15/32.64 tff(19342,plain,
% 50.15/32.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1))),
% 50.15/32.64 inference(quant_inst,[status(thm)],[])).
% 50.15/32.64 tff(19343,plain,
% 50.15/32.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1)),
% 50.15/32.64 inference(modus_ponens,[status(thm)],[19342, 19341])).
% 50.15/32.64 tff(19344,plain,
% 50.15/32.64 ((~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19343, 857, 19235])).
% 50.15/32.64 tff(19345,plain,
% 50.15/32.64 (v121(constB149, bitIndex1)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19344, 19340])).
% 50.15/32.64 tff(19346,plain,
% 50.15/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1))),
% 50.15/32.64 inference(rewrite,[status(thm)],[])).
% 50.15/32.64 tff(19347,plain,
% 50.15/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1))),
% 50.15/32.64 inference(quant_inst,[status(thm)],[])).
% 50.15/32.64 tff(19348,plain,
% 50.15/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1)),
% 50.15/32.64 inference(modus_ponens,[status(thm)],[19347, 19346])).
% 50.15/32.64 tff(19349,plain,
% 50.15/32.64 ((~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19348, 872, 19253])).
% 50.15/32.64 tff(19350,plain,
% 50.15/32.64 (v123(constB150, bitIndex1)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19349, 19345])).
% 50.15/32.64 tff(19351,plain,
% 50.15/32.64 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))),
% 50.15/32.64 inference(rewrite,[status(thm)],[])).
% 50.15/32.64 tff(19352,plain,
% 50.15/32.64 ((v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1))) <=> (v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))),
% 50.15/32.64 inference(rewrite,[status(thm)],[])).
% 50.15/32.64 tff(19353,plain,
% 50.15/32.64 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150))))),
% 50.15/32.64 inference(monotonicity,[status(thm)],[19352])).
% 50.15/32.64 tff(19354,plain,
% 50.15/32.64 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))),
% 50.15/32.64 inference(transitivity,[status(thm)],[19353, 19351])).
% 50.15/32.64 tff(19355,plain,
% 50.15/32.64 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1)))),
% 50.15/32.64 inference(quant_inst,[status(thm)],[])).
% 50.15/32.64 tff(19356,plain,
% 50.15/32.64 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150))),
% 50.15/32.64 inference(modus_ponens,[status(thm)],[19355, 19354])).
% 50.15/32.64 tff(19357,plain,
% 50.15/32.64 (v84(constB150, bitIndex1) | (~v94(constB150))),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19356, 887, 19350])).
% 50.15/32.64 tff(19358,plain,
% 50.15/32.64 (v84(constB150, bitIndex1)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19357, 19287])).
% 50.15/32.64 tff(19359,plain,
% 50.15/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))),
% 50.15/32.64 inference(rewrite,[status(thm)],[])).
% 50.15/32.64 tff(19360,plain,
% 50.15/32.64 (((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1)) <=> ((~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))),
% 50.15/32.64 inference(rewrite,[status(thm)],[])).
% 50.15/32.64 tff(19361,plain,
% 50.15/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1)))),
% 50.15/32.64 inference(monotonicity,[status(thm)],[19360])).
% 50.15/32.64 tff(19362,plain,
% 50.15/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))),
% 50.15/32.64 inference(transitivity,[status(thm)],[19361, 19359])).
% 50.15/32.64 tff(19363,plain,
% 50.15/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1))),
% 50.15/32.64 inference(quant_inst,[status(thm)],[])).
% 50.15/32.64 tff(19364,plain,
% 50.15/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1)),
% 50.15/32.64 inference(modus_ponens,[status(thm)],[19363, 19362])).
% 50.15/32.64 tff(19365,plain,
% 50.15/32.64 ((~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19364, 905, 19315])).
% 50.15/32.64 tff(19366,plain,
% 50.15/32.64 ((~v84(constB150, bitIndex1)) | v84(constB151, bitIndex1)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19365, 19327])).
% 50.15/32.64 tff(19367,plain,
% 50.15/32.64 (v84(constB151, bitIndex1)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19366, 19358])).
% 50.15/32.64 tff(19368,plain,
% 50.15/32.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB149)) | v124(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB149)) | v124(constB149, bitIndex0))),
% 50.15/32.64 inference(rewrite,[status(thm)],[])).
% 50.15/32.64 tff(19369,plain,
% 50.15/32.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB149)) | v124(constB149, bitIndex0))),
% 50.15/32.64 inference(quant_inst,[status(thm)],[])).
% 50.15/32.64 tff(19370,plain,
% 50.15/32.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB149)) | v124(constB149, bitIndex0)),
% 50.15/32.64 inference(modus_ponens,[status(thm)],[19369, 19368])).
% 50.15/32.64 tff(19371,plain,
% 50.15/32.64 (v124(constB149, bitIndex0)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19370, 1784, 19205])).
% 50.15/32.64 tff(19372,plain,
% 50.15/32.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0))),
% 50.15/32.64 inference(rewrite,[status(thm)],[])).
% 50.15/32.64 tff(19373,plain,
% 50.15/32.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0))),
% 50.15/32.64 inference(quant_inst,[status(thm)],[])).
% 50.15/32.64 tff(19374,plain,
% 50.15/32.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0)),
% 50.15/32.64 inference(modus_ponens,[status(thm)],[19373, 19372])).
% 50.15/32.64 tff(19375,plain,
% 50.15/32.64 ((~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19374, 1391, 19235])).
% 50.15/32.64 tff(19376,plain,
% 50.15/32.64 (v121(constB149, bitIndex0)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19375, 19371])).
% 50.15/32.64 tff(19377,plain,
% 50.15/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0))),
% 50.15/32.64 inference(rewrite,[status(thm)],[])).
% 50.15/32.64 tff(19378,plain,
% 50.15/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0))),
% 50.15/32.64 inference(quant_inst,[status(thm)],[])).
% 50.15/32.64 tff(19379,plain,
% 50.15/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0)),
% 50.15/32.64 inference(modus_ponens,[status(thm)],[19378, 19377])).
% 50.15/32.64 tff(19380,plain,
% 50.15/32.64 ((~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19379, 1406, 19253])).
% 50.15/32.64 tff(19381,plain,
% 50.15/32.64 (v123(constB150, bitIndex0)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19380, 19376])).
% 50.15/32.64 tff(19382,plain,
% 50.15/32.64 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))),
% 50.15/32.64 inference(rewrite,[status(thm)],[])).
% 50.15/32.64 tff(19383,plain,
% 50.15/32.64 ((v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0))) <=> (v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))),
% 50.15/32.64 inference(rewrite,[status(thm)],[])).
% 50.15/32.64 tff(19384,plain,
% 50.15/32.64 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150))))),
% 50.15/32.64 inference(monotonicity,[status(thm)],[19383])).
% 50.15/32.64 tff(19385,plain,
% 50.15/32.64 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))),
% 50.15/32.64 inference(transitivity,[status(thm)],[19384, 19382])).
% 50.15/32.64 tff(19386,plain,
% 50.15/32.64 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0)))),
% 50.15/32.64 inference(quant_inst,[status(thm)],[])).
% 50.15/32.64 tff(19387,plain,
% 50.15/32.64 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150))),
% 50.15/32.64 inference(modus_ponens,[status(thm)],[19386, 19385])).
% 50.15/32.64 tff(19388,plain,
% 50.15/32.64 (v84(constB150, bitIndex0) | (~v94(constB150))),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19387, 1421, 19381])).
% 50.15/32.64 tff(19389,plain,
% 50.15/32.64 (v84(constB150, bitIndex0)),
% 50.15/32.64 inference(unit_resolution,[status(thm)],[19388, 19287])).
% 50.15/32.65 tff(19390,plain,
% 50.15/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19391,plain,
% 50.15/32.65 (((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0)) <=> ((~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19392,plain,
% 50.15/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0)))),
% 50.15/32.65 inference(monotonicity,[status(thm)],[19391])).
% 50.15/32.65 tff(19393,plain,
% 50.15/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))),
% 50.15/32.65 inference(transitivity,[status(thm)],[19392, 19390])).
% 50.15/32.65 tff(19394,plain,
% 50.15/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0))),
% 50.15/32.65 inference(quant_inst,[status(thm)],[])).
% 50.15/32.65 tff(19395,plain,
% 50.15/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0)),
% 50.15/32.65 inference(modus_ponens,[status(thm)],[19394, 19393])).
% 50.15/32.65 tff(19396,plain,
% 50.15/32.65 ((~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0)),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19395, 1439, 19315])).
% 50.15/32.65 tff(19397,plain,
% 50.15/32.65 ((~v84(constB150, bitIndex0)) | v84(constB151, bitIndex0)),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19396, 19327])).
% 50.15/32.65 tff(19398,plain,
% 50.15/32.65 (v84(constB151, bitIndex0)),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19397, 19389])).
% 50.15/32.65 tff(19399,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19400,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151))),
% 50.15/32.65 inference(quant_inst,[status(thm)],[])).
% 50.15/32.65 tff(19401,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151)),
% 50.15/32.65 inference(modus_ponens,[status(thm)],[19400, 19399])).
% 50.15/32.65 tff(19402,plain,
% 50.15/32.65 (v116(constB151)),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19401, 1825, 19398, 19367, 19336])).
% 50.15/32.65 tff(19403,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB151)) | v110(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB151)) | v110(constB151))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19404,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB151)) | v110(constB151))),
% 50.15/32.65 inference(quant_inst,[status(thm)],[])).
% 50.15/32.65 tff(19405,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB151)) | v110(constB151)),
% 50.15/32.65 inference(modus_ponens,[status(thm)],[19404, 19403])).
% 50.15/32.65 tff(19406,plain,
% 50.15/32.65 (v110(constB151)),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19405, 1836, 19402])).
% 50.15/32.65 tff(19407,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB151) | (~v110(constB151)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB151) | (~v110(constB151)))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19408,plain,
% 50.15/32.65 (((~v110(constB151)) | v109(constB151)) <=> (v109(constB151) | (~v110(constB151)))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19409,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB151)) | v109(constB151))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB151) | (~v110(constB151))))),
% 50.15/32.65 inference(monotonicity,[status(thm)],[19408])).
% 50.15/32.65 tff(19410,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB151)) | v109(constB151))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB151) | (~v110(constB151)))),
% 50.15/32.65 inference(transitivity,[status(thm)],[19409, 19407])).
% 50.15/32.65 tff(19411,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB151)) | v109(constB151))),
% 50.15/32.65 inference(quant_inst,[status(thm)],[])).
% 50.15/32.65 tff(19412,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB151) | (~v110(constB151))),
% 50.15/32.65 inference(modus_ponens,[status(thm)],[19411, 19410])).
% 50.15/32.65 tff(19413,plain,
% 50.15/32.65 (v109(constB151)),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19412, 306, 19406])).
% 50.15/32.65 tff(19414,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB151)) | v108(constB151))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19415,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB151)) | v108(constB151))),
% 50.15/32.65 inference(quant_inst,[status(thm)],[])).
% 50.15/32.65 tff(19416,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB151)) | v108(constB151)),
% 50.15/32.65 inference(modus_ponens,[status(thm)],[19415, 19414])).
% 50.15/32.65 tff(19417,plain,
% 50.15/32.65 (v108(constB151)),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19416, 320, 19413])).
% 50.15/32.65 tff(19418,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB151)) | v107(constB151))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB151)) | v107(constB151))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19419,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB151)) | v107(constB151))),
% 50.15/32.65 inference(quant_inst,[status(thm)],[])).
% 50.15/32.65 tff(19420,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB151)) | v107(constB151)),
% 50.15/32.65 inference(modus_ponens,[status(thm)],[19419, 19418])).
% 50.15/32.65 tff(19421,plain,
% 50.15/32.65 (v107(constB151)),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19420, 334, 19417])).
% 50.15/32.65 tff(19422,assumption,(v26(constB151)), introduced(assumption)).
% 50.15/32.65 tff(19423,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB151))),
% 50.15/32.65 inference(quant_inst,[status(thm)],[])).
% 50.15/32.65 tff(19424,plain,
% 50.15/32.65 ($false),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19423, 55, 19422])).
% 50.15/32.65 tff(19425,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 50.15/32.65 tff(19426,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | v106(constB151) | (~v107(constB151)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB151) | v106(constB151) | (~v107(constB151)))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19427,plain,
% 50.15/32.65 ((v26(constB151) | (~v107(constB151)) | v106(constB151)) <=> (v26(constB151) | v106(constB151) | (~v107(constB151)))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19428,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | (~v107(constB151)) | v106(constB151))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | v106(constB151) | (~v107(constB151))))),
% 50.15/32.65 inference(monotonicity,[status(thm)],[19427])).
% 50.15/32.65 tff(19429,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | (~v107(constB151)) | v106(constB151))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB151) | v106(constB151) | (~v107(constB151)))),
% 50.15/32.65 inference(transitivity,[status(thm)],[19428, 19426])).
% 50.15/32.65 tff(19430,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | (~v107(constB151)) | v106(constB151))),
% 50.15/32.65 inference(quant_inst,[status(thm)],[])).
% 50.15/32.65 tff(19431,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB151) | v106(constB151) | (~v107(constB151))),
% 50.15/32.65 inference(modus_ponens,[status(thm)],[19430, 19429])).
% 50.15/32.65 tff(19432,plain,
% 50.15/32.65 (v106(constB151) | (~v107(constB151))),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19431, 348, 19425])).
% 50.15/32.65 tff(19433,plain,
% 50.15/32.65 (v106(constB151)),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19432, 19421])).
% 50.15/32.65 tff(19434,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB151) | (~v106(constB151)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB151) | (~v106(constB151)))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19435,plain,
% 50.15/32.65 (((~v106(constB151)) | v102(constB151)) <=> (v102(constB151) | (~v106(constB151)))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19436,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB151)) | v102(constB151))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB151) | (~v106(constB151))))),
% 50.15/32.65 inference(monotonicity,[status(thm)],[19435])).
% 50.15/32.65 tff(19437,plain,
% 50.15/32.65 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB151)) | v102(constB151))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB151) | (~v106(constB151)))),
% 50.15/32.65 inference(transitivity,[status(thm)],[19436, 19434])).
% 50.15/32.65 tff(19438,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB151)) | v102(constB151))),
% 50.15/32.65 inference(quant_inst,[status(thm)],[])).
% 50.15/32.65 tff(19439,plain,
% 50.15/32.65 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB151) | (~v106(constB151))),
% 50.15/32.65 inference(modus_ponens,[status(thm)],[19438, 19437])).
% 50.15/32.65 tff(19440,plain,
% 50.15/32.65 (v102(constB151)),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19439, 504, 19433])).
% 50.15/32.65 tff(19441,plain,
% 50.15/32.65 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19442,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 50.15/32.65 tff(19443,plain,
% 50.15/32.65 (nextState(constB151, constB152)),
% 50.15/32.65 inference(modus_ponens,[status(thm)],[19442, 19441])).
% 50.15/32.65 tff(19444,plain,
% 50.15/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19445,plain,
% 50.15/32.65 (((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152)) <=> ((~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19446,plain,
% 50.15/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151))))),
% 50.15/32.65 inference(monotonicity,[status(thm)],[19445])).
% 50.15/32.65 tff(19447,plain,
% 50.15/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))),
% 50.15/32.65 inference(transitivity,[status(thm)],[19446, 19444])).
% 50.15/32.65 tff(19448,plain,
% 50.15/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152))),
% 50.15/32.65 inference(quant_inst,[status(thm)],[])).
% 50.15/32.65 tff(19449,plain,
% 50.15/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151))),
% 50.15/32.65 inference(modus_ponens,[status(thm)],[19448, 19447])).
% 50.15/32.65 tff(19450,plain,
% 50.15/32.65 (v104(constB152) | (~v102(constB151))),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19449, 489, 19443])).
% 50.15/32.65 tff(19451,plain,
% 50.15/32.65 (v104(constB152)),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19450, 19440])).
% 50.15/32.65 tff(19452,plain,
% 50.15/32.65 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152)))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19453,plain,
% 50.15/32.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152)))),
% 50.15/32.65 inference(quant_inst,[status(thm)],[])).
% 50.15/32.65 tff(19454,plain,
% 50.15/32.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152))),
% 50.15/32.65 inference(modus_ponens,[status(thm)],[19453, 19452])).
% 50.15/32.65 tff(19455,plain,
% 50.15/32.65 (~v98(constB152)),
% 50.15/32.65 inference(unit_resolution,[status(thm)],[19454, 423, 19443, 19312])).
% 50.15/32.65 tff(19456,plain,
% 50.15/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB151, constB152)) | v96(constB152) | v98(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB151, constB152)) | v96(constB152) | v98(constB152))),
% 50.15/32.65 inference(rewrite,[status(thm)],[])).
% 50.15/32.65 tff(19457,plain,
% 50.15/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB151, constB152)) | v96(constB152) | v98(constB152))),
% 50.15/32.66 inference(quant_inst,[status(thm)],[])).
% 50.15/32.66 tff(19458,plain,
% 50.15/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB151, constB152)) | v96(constB152) | v98(constB152)),
% 50.15/32.66 inference(modus_ponens,[status(thm)],[19457, 19456])).
% 50.15/32.66 tff(19459,plain,
% 50.15/32.66 (v96(constB152) | v98(constB152)),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19458, 437, 19443])).
% 50.15/32.66 tff(19460,plain,
% 50.15/32.66 (v96(constB152)),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19459, 19455])).
% 50.15/32.66 tff(19461,plain,
% 50.15/32.66 (v1(constB152) <=> v1(constB152)),
% 50.15/32.66 inference(rewrite,[status(thm)],[])).
% 50.15/32.66 tff(19462,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 50.15/32.66 tff(19463,plain,
% 50.15/32.66 (v1(constB152)),
% 50.15/32.66 inference(modus_ponens,[status(thm)],[19462, 19461])).
% 50.15/32.66 tff(19464,plain,
% 50.15/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152)))),
% 50.15/32.66 inference(rewrite,[status(thm)],[])).
% 50.15/32.66 tff(19465,plain,
% 50.15/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152)))),
% 50.15/32.66 inference(quant_inst,[status(thm)],[])).
% 50.15/32.66 tff(19466,plain,
% 50.15/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152))),
% 50.15/32.66 inference(modus_ponens,[status(thm)],[19465, 19464])).
% 50.15/32.66 tff(19467,plain,
% 50.15/32.66 (v95(constB152) | (~v96(constB152))),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19466, 455, 19443, 19463])).
% 50.15/32.66 tff(19468,plain,
% 50.15/32.66 (v95(constB152)),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19467, 19460])).
% 50.15/32.66 tff(19469,plain,
% 50.15/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))),
% 50.15/32.66 inference(rewrite,[status(thm)],[])).
% 50.15/32.66 tff(19470,plain,
% 50.15/32.66 (((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152)) <=> ((~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))),
% 50.15/32.66 inference(rewrite,[status(thm)],[])).
% 50.15/32.66 tff(19471,plain,
% 50.15/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152))))),
% 50.15/32.66 inference(monotonicity,[status(thm)],[19470])).
% 50.15/32.66 tff(19472,plain,
% 50.15/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))),
% 50.15/32.66 inference(transitivity,[status(thm)],[19471, 19469])).
% 50.15/32.66 tff(19473,plain,
% 50.15/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152))),
% 50.15/32.66 inference(quant_inst,[status(thm)],[])).
% 50.15/32.66 tff(19474,plain,
% 50.15/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152))),
% 50.15/32.66 inference(modus_ponens,[status(thm)],[19473, 19472])).
% 50.15/32.66 tff(19475,plain,
% 50.15/32.66 (v94(constB152) | (~v95(constB152)) | (~v104(constB152))),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19474, 470, 19443])).
% 50.15/32.66 tff(19476,plain,
% 50.15/32.66 (v94(constB152) | (~v104(constB152))),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19475, 19468])).
% 50.15/32.66 tff(19477,plain,
% 50.15/32.66 (v94(constB152)),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19476, 19451])).
% 50.15/32.66 tff(19478,plain,
% 50.15/32.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB151)) | v124(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB151)) | v124(constB151, bitIndex2))),
% 50.15/32.66 inference(rewrite,[status(thm)],[])).
% 50.15/32.66 tff(19479,plain,
% 50.15/32.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB151)) | v124(constB151, bitIndex2))),
% 50.15/32.66 inference(quant_inst,[status(thm)],[])).
% 50.15/32.66 tff(19480,plain,
% 50.15/32.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB151)) | v124(constB151, bitIndex2)),
% 50.15/32.66 inference(modus_ponens,[status(thm)],[19479, 19478])).
% 50.15/32.66 tff(19481,plain,
% 50.15/32.66 (v124(constB151, bitIndex2)),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19480, 1923, 19402])).
% 50.15/32.66 tff(19482,plain,
% 50.15/32.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2))),
% 50.15/32.66 inference(rewrite,[status(thm)],[])).
% 50.15/32.66 tff(19483,plain,
% 50.15/32.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2))),
% 50.15/32.66 inference(quant_inst,[status(thm)],[])).
% 50.15/32.66 tff(19484,plain,
% 50.15/32.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2)),
% 50.15/32.66 inference(modus_ponens,[status(thm)],[19483, 19482])).
% 50.15/32.66 tff(19485,plain,
% 50.15/32.66 ((~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2)),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19484, 374, 19425])).
% 50.15/32.66 tff(19486,plain,
% 50.15/32.66 (v121(constB151, bitIndex2)),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19485, 19481])).
% 50.15/32.66 tff(19487,plain,
% 50.15/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2))),
% 50.15/32.66 inference(rewrite,[status(thm)],[])).
% 50.15/32.66 tff(19488,plain,
% 50.15/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2))),
% 50.15/32.66 inference(quant_inst,[status(thm)],[])).
% 50.15/32.66 tff(19489,plain,
% 50.15/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2)),
% 50.15/32.66 inference(modus_ponens,[status(thm)],[19488, 19487])).
% 50.15/32.66 tff(19490,plain,
% 50.15/32.66 ((~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2)),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19489, 389, 19443])).
% 50.15/32.66 tff(19491,plain,
% 50.15/32.66 (v123(constB152, bitIndex2)),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19490, 19486])).
% 50.15/32.66 tff(19492,plain,
% 50.15/32.66 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))),
% 50.15/32.66 inference(rewrite,[status(thm)],[])).
% 50.15/32.66 tff(19493,plain,
% 50.15/32.66 ((v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2))) <=> (v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))),
% 50.15/32.66 inference(rewrite,[status(thm)],[])).
% 50.15/32.66 tff(19494,plain,
% 50.15/32.66 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152))))),
% 50.15/32.66 inference(monotonicity,[status(thm)],[19493])).
% 50.15/32.66 tff(19495,plain,
% 50.15/32.66 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))),
% 50.15/32.66 inference(transitivity,[status(thm)],[19494, 19492])).
% 50.15/32.66 tff(19496,plain,
% 50.15/32.66 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2)))),
% 50.15/32.66 inference(quant_inst,[status(thm)],[])).
% 50.15/32.66 tff(19497,plain,
% 50.15/32.66 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152))),
% 50.15/32.66 inference(modus_ponens,[status(thm)],[19496, 19495])).
% 50.15/32.66 tff(19498,plain,
% 50.15/32.66 (v84(constB152, bitIndex2) | (~v94(constB152))),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19497, 405, 19491])).
% 50.15/32.66 tff(19499,plain,
% 50.15/32.66 (v84(constB152, bitIndex2)),
% 50.15/32.66 inference(unit_resolution,[status(thm)],[19498, 19477])).
% 50.15/32.66 tff(19500,plain,
% 50.15/32.66 ((~v1(constB153)) <=> (~v1(constB153))),
% 50.15/32.66 inference(rewrite,[status(thm)],[])).
% 50.15/32.66 tff(19501,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 50.15/32.66 tff(19502,plain,
% 50.15/32.66 (~v1(constB153)),
% 50.15/32.66 inference(modus_ponens,[status(thm)],[19501, 19500])).
% 50.15/32.66 tff(19503,plain,
% 50.15/32.66 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 50.15/32.66 inference(rewrite,[status(thm)],[])).
% 50.15/32.66 tff(19504,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 50.15/32.66 tff(19505,plain,
% 50.15/32.66 (nextState(constB152, constB153)),
% 50.15/32.66 inference(modus_ponens,[status(thm)],[19504, 19503])).
% 50.15/32.66 tff(19506,plain,
% 50.15/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))),
% 50.15/32.66 inference(rewrite,[status(thm)],[])).
% 50.15/32.66 tff(19507,plain,
% 50.15/32.66 (((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))),
% 50.20/32.66 inference(rewrite,[status(thm)],[])).
% 50.20/32.66 tff(19508,plain,
% 50.20/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153))))),
% 50.20/32.66 inference(monotonicity,[status(thm)],[19507])).
% 50.20/32.66 tff(19509,plain,
% 50.20/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))),
% 50.20/32.66 inference(transitivity,[status(thm)],[19508, 19506])).
% 50.20/32.66 tff(19510,plain,
% 50.20/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153))),
% 50.20/32.66 inference(quant_inst,[status(thm)],[])).
% 50.20/32.66 tff(19511,plain,
% 50.20/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153))),
% 50.20/32.66 inference(modus_ponens,[status(thm)],[19510, 19509])).
% 50.20/32.66 tff(19512,plain,
% 50.20/32.66 (~v95(constB153)),
% 50.20/32.66 inference(unit_resolution,[status(thm)],[19511, 110, 19505, 19502])).
% 50.20/32.66 tff(19513,plain,
% 50.20/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153)))),
% 50.20/32.66 inference(rewrite,[status(thm)],[])).
% 50.20/32.66 tff(19514,plain,
% 50.20/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153)))),
% 50.20/32.66 inference(quant_inst,[status(thm)],[])).
% 50.20/32.66 tff(19515,plain,
% 50.20/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153))),
% 50.20/32.66 inference(modus_ponens,[status(thm)],[19514, 19513])).
% 50.20/32.66 tff(19516,plain,
% 50.20/32.66 (v95(constB153) | (~v94(constB153))),
% 50.20/32.66 inference(unit_resolution,[status(thm)],[19515, 127, 19505])).
% 50.20/32.66 tff(19517,plain,
% 50.20/32.66 (~v94(constB153)),
% 50.20/32.66 inference(unit_resolution,[status(thm)],[19516, 19512])).
% 50.20/32.66 tff(19518,plain,
% 50.20/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))),
% 50.20/32.66 inference(rewrite,[status(thm)],[])).
% 50.20/32.66 tff(19519,plain,
% 50.20/32.66 (((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2)) <=> ((~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))),
% 50.20/32.66 inference(rewrite,[status(thm)],[])).
% 50.20/32.66 tff(19520,plain,
% 50.20/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2)))),
% 50.20/32.67 inference(monotonicity,[status(thm)],[19519])).
% 50.20/32.67 tff(19521,plain,
% 50.20/32.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))),
% 50.20/32.67 inference(transitivity,[status(thm)],[19520, 19518])).
% 50.20/32.67 tff(19522,plain,
% 50.20/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2))),
% 50.20/32.67 inference(quant_inst,[status(thm)],[])).
% 50.20/32.67 tff(19523,plain,
% 50.20/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2)),
% 50.20/32.67 inference(modus_ponens,[status(thm)],[19522, 19521])).
% 50.20/32.67 tff(19524,plain,
% 50.20/32.67 ((~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2)),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19523, 576, 19505])).
% 50.20/32.67 tff(19525,plain,
% 50.20/32.67 ((~v84(constB152, bitIndex2)) | v84(constB153, bitIndex2)),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19524, 19517])).
% 50.20/32.67 tff(19526,plain,
% 50.20/32.67 (v84(constB153, bitIndex2)),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19525, 19499])).
% 50.20/32.67 tff(19527,plain,
% 50.20/32.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB151)) | (~v124(constB151, bitIndex1)))),
% 50.20/32.67 inference(rewrite,[status(thm)],[])).
% 50.20/32.67 tff(19528,plain,
% 50.20/32.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex1)))),
% 50.20/32.67 inference(quant_inst,[status(thm)],[])).
% 50.20/32.67 tff(19529,plain,
% 50.20/32.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB151)) | (~v124(constB151, bitIndex1))),
% 50.20/32.67 inference(modus_ponens,[status(thm)],[19528, 19527])).
% 50.20/32.67 tff(19530,plain,
% 50.20/32.67 (~v124(constB151, bitIndex1)),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19529, 1979, 19402])).
% 50.20/32.67 tff(19531,plain,
% 50.20/32.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))),
% 50.20/32.67 inference(rewrite,[status(thm)],[])).
% 50.20/32.67 tff(19532,plain,
% 50.20/32.67 ((v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1))) <=> ((~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))),
% 50.20/32.67 inference(rewrite,[status(thm)],[])).
% 50.20/32.67 tff(19533,plain,
% 50.20/32.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1)))),
% 50.20/32.67 inference(monotonicity,[status(thm)],[19532])).
% 50.20/32.67 tff(19534,plain,
% 50.20/32.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))),
% 50.20/32.67 inference(transitivity,[status(thm)],[19533, 19531])).
% 50.20/32.67 tff(19535,plain,
% 50.20/32.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1)))),
% 50.20/32.67 inference(quant_inst,[status(thm)],[])).
% 50.20/32.67 tff(19536,plain,
% 50.20/32.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1)),
% 50.20/32.67 inference(modus_ponens,[status(thm)],[19535, 19534])).
% 50.20/32.67 tff(19537,plain,
% 50.20/32.67 ((~v121(constB151, bitIndex1)) | v124(constB151, bitIndex1)),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19536, 233, 19425])).
% 50.20/32.67 tff(19538,plain,
% 50.20/32.67 (~v121(constB151, bitIndex1)),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19537, 19530])).
% 50.20/32.67 tff(19539,plain,
% 50.20/32.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1)))),
% 50.20/32.67 inference(rewrite,[status(thm)],[])).
% 50.20/32.67 tff(19540,plain,
% 50.20/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1)))),
% 50.20/32.67 inference(quant_inst,[status(thm)],[])).
% 50.20/32.67 tff(19541,plain,
% 50.20/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1))),
% 50.20/32.67 inference(modus_ponens,[status(thm)],[19540, 19539])).
% 50.20/32.67 tff(19542,plain,
% 50.20/32.67 (v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1))),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19541, 254, 19443])).
% 50.20/32.67 tff(19543,plain,
% 50.20/32.67 (~v123(constB152, bitIndex1)),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19542, 19538])).
% 50.20/32.67 tff(19544,plain,
% 50.20/32.67 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))),
% 50.20/32.67 inference(rewrite,[status(thm)],[])).
% 50.20/32.67 tff(19545,plain,
% 50.20/32.67 (((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1)) <=> ((~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))),
% 50.20/32.67 inference(rewrite,[status(thm)],[])).
% 50.20/32.67 tff(19546,plain,
% 50.20/32.67 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152))))),
% 50.20/32.67 inference(monotonicity,[status(thm)],[19545])).
% 50.20/32.67 tff(19547,plain,
% 50.20/32.67 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))),
% 50.20/32.67 inference(transitivity,[status(thm)],[19546, 19544])).
% 50.20/32.67 tff(19548,plain,
% 50.20/32.67 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1))),
% 50.20/32.67 inference(quant_inst,[status(thm)],[])).
% 50.20/32.67 tff(19549,plain,
% 50.20/32.67 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152))),
% 50.20/32.67 inference(modus_ponens,[status(thm)],[19548, 19547])).
% 50.20/32.67 tff(19550,plain,
% 50.20/32.67 ((~v84(constB152, bitIndex1)) | (~v94(constB152))),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19549, 532, 19543])).
% 50.20/32.67 tff(19551,plain,
% 50.20/32.67 (~v84(constB152, bitIndex1)),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19550, 19477])).
% 50.20/32.67 tff(19552,plain,
% 50.20/32.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 50.20/32.67 inference(rewrite,[status(thm)],[])).
% 50.20/32.67 tff(19553,plain,
% 50.20/32.67 (((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1))) <=> (v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 50.20/32.67 inference(rewrite,[status(thm)],[])).
% 50.20/32.67 tff(19554,plain,
% 50.20/32.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1))))),
% 50.20/32.67 inference(monotonicity,[status(thm)],[19553])).
% 50.20/32.67 tff(19555,plain,
% 50.20/32.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 50.20/32.67 inference(transitivity,[status(thm)],[19554, 19552])).
% 50.20/32.67 tff(19556,plain,
% 50.20/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 50.20/32.67 inference(quant_inst,[status(thm)],[])).
% 50.20/32.67 tff(19557,plain,
% 50.20/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1))),
% 50.20/32.67 inference(modus_ponens,[status(thm)],[19556, 19555])).
% 50.20/32.67 tff(19558,plain,
% 50.20/32.67 (v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1))),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19557, 163, 19505])).
% 50.20/32.67 tff(19559,plain,
% 50.20/32.67 (v84(constB152, bitIndex1) | (~v84(constB153, bitIndex1))),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19558, 19517])).
% 50.20/32.67 tff(19560,plain,
% 50.20/32.67 (~v84(constB153, bitIndex1)),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19559, 19551])).
% 50.20/32.67 tff(19561,plain,
% 50.20/32.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB151)) | (~v124(constB151, bitIndex0)))),
% 50.20/32.67 inference(rewrite,[status(thm)],[])).
% 50.20/32.67 tff(19562,plain,
% 50.20/32.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex0)))),
% 50.20/32.67 inference(quant_inst,[status(thm)],[])).
% 50.20/32.67 tff(19563,plain,
% 50.20/32.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB151)) | (~v124(constB151, bitIndex0))),
% 50.20/32.67 inference(modus_ponens,[status(thm)],[19562, 19561])).
% 50.20/32.67 tff(19564,plain,
% 50.20/32.67 (~v124(constB151, bitIndex0)),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19563, 2020, 19402])).
% 50.20/32.67 tff(19565,plain,
% 50.20/32.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))),
% 50.20/32.67 inference(rewrite,[status(thm)],[])).
% 50.20/32.67 tff(19566,plain,
% 50.20/32.67 ((v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0))) <=> ((~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))),
% 50.20/32.67 inference(rewrite,[status(thm)],[])).
% 50.20/32.67 tff(19567,plain,
% 50.20/32.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0)))),
% 50.20/32.67 inference(monotonicity,[status(thm)],[19566])).
% 50.20/32.67 tff(19568,plain,
% 50.20/32.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))),
% 50.20/32.67 inference(transitivity,[status(thm)],[19567, 19565])).
% 50.20/32.67 tff(19569,plain,
% 50.20/32.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0)))),
% 50.20/32.67 inference(quant_inst,[status(thm)],[])).
% 50.20/32.67 tff(19570,plain,
% 50.20/32.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0)),
% 50.20/32.67 inference(modus_ponens,[status(thm)],[19569, 19568])).
% 50.20/32.67 tff(19571,plain,
% 50.20/32.67 ((~v121(constB151, bitIndex0)) | v124(constB151, bitIndex0)),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19570, 607, 19425])).
% 50.20/32.67 tff(19572,plain,
% 50.20/32.67 (~v121(constB151, bitIndex0)),
% 50.20/32.67 inference(unit_resolution,[status(thm)],[19571, 19564])).
% 50.20/32.67 tff(19573,plain,
% 50.20/32.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0)))),
% 50.20/32.67 inference(rewrite,[status(thm)],[])).
% 50.20/32.67 tff(19574,plain,
% 50.20/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0)))),
% 50.20/32.67 inference(quant_inst,[status(thm)],[])).
% 50.20/32.67 tff(19575,plain,
% 50.20/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0))),
% 50.20/32.68 inference(modus_ponens,[status(thm)],[19574, 19573])).
% 50.20/32.68 tff(19576,plain,
% 50.20/32.68 (v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0))),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19575, 637, 19443])).
% 50.20/32.68 tff(19577,plain,
% 50.20/32.68 (~v123(constB152, bitIndex0)),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19576, 19572])).
% 50.20/32.68 tff(19578,plain,
% 50.20/32.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19579,plain,
% 50.20/32.68 (((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0)) <=> ((~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19580,plain,
% 50.20/32.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152))))),
% 50.20/32.68 inference(monotonicity,[status(thm)],[19579])).
% 50.20/32.68 tff(19581,plain,
% 50.20/32.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))),
% 50.20/32.68 inference(transitivity,[status(thm)],[19580, 19578])).
% 50.20/32.68 tff(19582,plain,
% 50.20/32.68 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0))),
% 50.20/32.68 inference(quant_inst,[status(thm)],[])).
% 50.20/32.68 tff(19583,plain,
% 50.20/32.68 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152))),
% 50.20/32.68 inference(modus_ponens,[status(thm)],[19582, 19581])).
% 50.20/32.68 tff(19584,plain,
% 50.20/32.68 ((~v84(constB152, bitIndex0)) | (~v94(constB152))),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19583, 652, 19577])).
% 50.20/32.68 tff(19585,plain,
% 50.20/32.68 (~v84(constB152, bitIndex0)),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19584, 19477])).
% 50.20/32.68 tff(19586,plain,
% 50.20/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19587,plain,
% 50.20/32.68 (((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0))) <=> (v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19588,plain,
% 50.20/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0))))),
% 50.20/32.68 inference(monotonicity,[status(thm)],[19587])).
% 50.20/32.68 tff(19589,plain,
% 50.20/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 50.20/32.68 inference(transitivity,[status(thm)],[19588, 19586])).
% 50.20/32.68 tff(19590,plain,
% 50.20/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 50.20/32.68 inference(quant_inst,[status(thm)],[])).
% 50.20/32.68 tff(19591,plain,
% 50.20/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0))),
% 50.20/32.68 inference(modus_ponens,[status(thm)],[19590, 19589])).
% 50.20/32.68 tff(19592,plain,
% 50.20/32.68 (v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0))),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19591, 184, 19505])).
% 50.20/32.68 tff(19593,plain,
% 50.20/32.68 (v84(constB152, bitIndex0) | (~v84(constB153, bitIndex0))),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19592, 19517])).
% 50.20/32.68 tff(19594,plain,
% 50.20/32.68 (~v84(constB153, bitIndex0)),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19593, 19585])).
% 50.20/32.68 tff(19595,plain,
% 50.20/32.68 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19596,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153))),
% 50.20/32.68 inference(quant_inst,[status(thm)],[])).
% 50.20/32.68 tff(19597,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153)),
% 50.20/32.68 inference(modus_ponens,[status(thm)],[19596, 19595])).
% 50.20/32.68 tff(19598,plain,
% 50.20/32.68 (v172(constB153)),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19597, 679, 19594, 19560, 19526])).
% 50.20/32.68 tff(19599,plain,
% 50.20/32.68 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB153) | (~v172(constB153)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB153) | (~v172(constB153)))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19600,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB153) | (~v172(constB153)))),
% 50.20/32.68 inference(quant_inst,[status(thm)],[])).
% 50.20/32.68 tff(19601,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB153) | (~v172(constB153))),
% 50.20/32.68 inference(modus_ponens,[status(thm)],[19600, 19599])).
% 50.20/32.68 tff(19602,plain,
% 50.20/32.68 (v109(constB153)),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19601, 740, 19598])).
% 50.20/32.68 tff(19603,plain,
% 50.20/32.68 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB153)) | v108(constB153))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19604,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB153)) | v108(constB153))),
% 50.20/32.68 inference(quant_inst,[status(thm)],[])).
% 50.20/32.68 tff(19605,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB153)) | v108(constB153)),
% 50.20/32.68 inference(modus_ponens,[status(thm)],[19604, 19603])).
% 50.20/32.68 tff(19606,plain,
% 50.20/32.68 (v108(constB153)),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19605, 320, 19602])).
% 50.20/32.68 tff(19607,plain,
% 50.20/32.68 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB153) | (~v108(constB153)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB153) | (~v108(constB153)))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19608,plain,
% 50.20/32.68 (((~v108(constB153)) | v107(constB153)) <=> (v107(constB153) | (~v108(constB153)))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19609,plain,
% 50.20/32.68 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB153)) | v107(constB153))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB153) | (~v108(constB153))))),
% 50.20/32.68 inference(monotonicity,[status(thm)],[19608])).
% 50.20/32.68 tff(19610,plain,
% 50.20/32.68 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB153)) | v107(constB153))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB153) | (~v108(constB153)))),
% 50.20/32.68 inference(transitivity,[status(thm)],[19609, 19607])).
% 50.20/32.68 tff(19611,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB153)) | v107(constB153))),
% 50.20/32.68 inference(quant_inst,[status(thm)],[])).
% 50.20/32.68 tff(19612,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB153) | (~v108(constB153))),
% 50.20/32.68 inference(modus_ponens,[status(thm)],[19611, 19610])).
% 50.20/32.68 tff(19613,plain,
% 50.20/32.68 (v107(constB153)),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19612, 334, 19606])).
% 50.20/32.68 tff(19614,assumption,(v26(constB153)), introduced(assumption)).
% 50.20/32.68 tff(19615,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB153))),
% 50.20/32.68 inference(quant_inst,[status(thm)],[])).
% 50.20/32.68 tff(19616,plain,
% 50.20/32.68 ($false),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19615, 55, 19614])).
% 50.20/32.68 tff(19617,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 50.20/32.68 tff(19618,plain,
% 50.20/32.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB153) | (~v107(constB153)) | v106(constB153))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB153) | (~v107(constB153)) | v106(constB153))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19619,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB153) | (~v107(constB153)) | v106(constB153))),
% 50.20/32.68 inference(quant_inst,[status(thm)],[])).
% 50.20/32.68 tff(19620,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB153) | (~v107(constB153)) | v106(constB153)),
% 50.20/32.68 inference(modus_ponens,[status(thm)],[19619, 19618])).
% 50.20/32.68 tff(19621,plain,
% 50.20/32.68 ((~v107(constB153)) | v106(constB153)),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19620, 348, 19617])).
% 50.20/32.68 tff(19622,plain,
% 50.20/32.68 (v106(constB153)),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19621, 19613])).
% 50.20/32.68 tff(19623,plain,
% 50.20/32.68 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB153) | (~v106(constB153)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB153) | (~v106(constB153)))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19624,plain,
% 50.20/32.68 (((~v106(constB153)) | v102(constB153)) <=> (v102(constB153) | (~v106(constB153)))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19625,plain,
% 50.20/32.68 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB153)) | v102(constB153))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB153) | (~v106(constB153))))),
% 50.20/32.68 inference(monotonicity,[status(thm)],[19624])).
% 50.20/32.68 tff(19626,plain,
% 50.20/32.68 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB153)) | v102(constB153))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB153) | (~v106(constB153)))),
% 50.20/32.68 inference(transitivity,[status(thm)],[19625, 19623])).
% 50.20/32.68 tff(19627,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB153)) | v102(constB153))),
% 50.20/32.68 inference(quant_inst,[status(thm)],[])).
% 50.20/32.68 tff(19628,plain,
% 50.20/32.68 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB153) | (~v106(constB153))),
% 50.20/32.68 inference(modus_ponens,[status(thm)],[19627, 19626])).
% 50.20/32.68 tff(19629,plain,
% 50.20/32.68 (v102(constB153)),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19628, 504, 19622])).
% 50.20/32.68 tff(19630,plain,
% 50.20/32.68 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19631,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 50.20/32.68 tff(19632,plain,
% 50.20/32.68 (nextState(constB153, constB154)),
% 50.20/32.68 inference(modus_ponens,[status(thm)],[19631, 19630])).
% 50.20/32.68 tff(19633,plain,
% 50.20/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19634,plain,
% 50.20/32.68 (((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154)) <=> ((~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))),
% 50.20/32.68 inference(rewrite,[status(thm)],[])).
% 50.20/32.68 tff(19635,plain,
% 50.20/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153))))),
% 50.20/32.68 inference(monotonicity,[status(thm)],[19634])).
% 50.20/32.68 tff(19636,plain,
% 50.20/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))),
% 50.20/32.68 inference(transitivity,[status(thm)],[19635, 19633])).
% 50.20/32.68 tff(19637,plain,
% 50.20/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154))),
% 50.20/32.68 inference(quant_inst,[status(thm)],[])).
% 50.20/32.68 tff(19638,plain,
% 50.20/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153))),
% 50.20/32.68 inference(modus_ponens,[status(thm)],[19637, 19636])).
% 50.20/32.68 tff(19639,plain,
% 50.20/32.68 (v104(constB154) | (~v102(constB153))),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19638, 489, 19632])).
% 50.20/32.68 tff(19640,plain,
% 50.20/32.68 (v104(constB154)),
% 50.20/32.68 inference(unit_resolution,[status(thm)],[19639, 19629])).
% 50.20/32.68 tff(19641,plain,
% 50.20/32.68 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154)))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19642,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154)))),
% 50.20/32.69 inference(quant_inst,[status(thm)],[])).
% 50.20/32.69 tff(19643,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154))),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19642, 19641])).
% 50.20/32.69 tff(19644,plain,
% 50.20/32.69 (~v98(constB154)),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19643, 423, 19632, 19502])).
% 50.20/32.69 tff(19645,plain,
% 50.20/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB153, constB154)) | v96(constB154) | v98(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB153, constB154)) | v96(constB154) | v98(constB154))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19646,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB153, constB154)) | v96(constB154) | v98(constB154))),
% 50.20/32.69 inference(quant_inst,[status(thm)],[])).
% 50.20/32.69 tff(19647,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB153, constB154)) | v96(constB154) | v98(constB154)),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19646, 19645])).
% 50.20/32.69 tff(19648,plain,
% 50.20/32.69 (v96(constB154) | v98(constB154)),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19647, 437, 19632])).
% 50.20/32.69 tff(19649,plain,
% 50.20/32.69 (v96(constB154)),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19648, 19644])).
% 50.20/32.69 tff(19650,plain,
% 50.20/32.69 (v1(constB154) <=> v1(constB154)),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19651,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 50.20/32.69 tff(19652,plain,
% 50.20/32.69 (v1(constB154)),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19651, 19650])).
% 50.20/32.69 tff(19653,plain,
% 50.20/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154)))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19654,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154)))),
% 50.20/32.69 inference(quant_inst,[status(thm)],[])).
% 50.20/32.69 tff(19655,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154))),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19654, 19653])).
% 50.20/32.69 tff(19656,plain,
% 50.20/32.69 (v95(constB154) | (~v96(constB154))),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19655, 455, 19632, 19652])).
% 50.20/32.69 tff(19657,plain,
% 50.20/32.69 (v95(constB154)),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19656, 19649])).
% 50.20/32.69 tff(19658,plain,
% 50.20/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19659,plain,
% 50.20/32.69 (((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154)) <=> ((~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19660,plain,
% 50.20/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154))))),
% 50.20/32.69 inference(monotonicity,[status(thm)],[19659])).
% 50.20/32.69 tff(19661,plain,
% 50.20/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))),
% 50.20/32.69 inference(transitivity,[status(thm)],[19660, 19658])).
% 50.20/32.69 tff(19662,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154))),
% 50.20/32.69 inference(quant_inst,[status(thm)],[])).
% 50.20/32.69 tff(19663,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154))),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19662, 19661])).
% 50.20/32.69 tff(19664,plain,
% 50.20/32.69 (v94(constB154) | (~v95(constB154)) | (~v104(constB154))),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19663, 470, 19632])).
% 50.20/32.69 tff(19665,plain,
% 50.20/32.69 (v94(constB154) | (~v104(constB154))),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19664, 19657])).
% 50.20/32.69 tff(19666,plain,
% 50.20/32.69 (v94(constB154)),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19665, 19640])).
% 50.20/32.69 tff(19667,plain,
% 50.20/32.69 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB153)) | v124(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB153)) | v124(constB153, bitIndex2))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19668,plain,
% 50.20/32.69 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB153)) | v124(constB153, bitIndex2))),
% 50.20/32.69 inference(quant_inst,[status(thm)],[])).
% 50.20/32.69 tff(19669,plain,
% 50.20/32.69 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB153)) | v124(constB153, bitIndex2)),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19668, 19667])).
% 50.20/32.69 tff(19670,plain,
% 50.20/32.69 (v124(constB153, bitIndex2)),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19669, 691, 19598])).
% 50.20/32.69 tff(19671,plain,
% 50.20/32.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19672,plain,
% 50.20/32.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2))),
% 50.20/32.69 inference(quant_inst,[status(thm)],[])).
% 50.20/32.69 tff(19673,plain,
% 50.20/32.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2)),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19672, 19671])).
% 50.20/32.69 tff(19674,plain,
% 50.20/32.69 ((~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2)),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19673, 374, 19617])).
% 50.20/32.69 tff(19675,plain,
% 50.20/32.69 (v121(constB153, bitIndex2)),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19674, 19670])).
% 50.20/32.69 tff(19676,plain,
% 50.20/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19677,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2))),
% 50.20/32.69 inference(quant_inst,[status(thm)],[])).
% 50.20/32.69 tff(19678,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2)),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19677, 19676])).
% 50.20/32.69 tff(19679,plain,
% 50.20/32.69 ((~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2)),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19678, 389, 19632])).
% 50.20/32.69 tff(19680,plain,
% 50.20/32.69 (v123(constB154, bitIndex2)),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19679, 19675])).
% 50.20/32.69 tff(19681,plain,
% 50.20/32.69 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19682,plain,
% 50.20/32.69 ((v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2))) <=> (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19683,plain,
% 50.20/32.69 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154))))),
% 50.20/32.69 inference(monotonicity,[status(thm)],[19682])).
% 50.20/32.69 tff(19684,plain,
% 50.20/32.69 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))),
% 50.20/32.69 inference(transitivity,[status(thm)],[19683, 19681])).
% 50.20/32.69 tff(19685,plain,
% 50.20/32.69 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2)))),
% 50.20/32.69 inference(quant_inst,[status(thm)],[])).
% 50.20/32.69 tff(19686,plain,
% 50.20/32.69 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154))),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19685, 19684])).
% 50.20/32.69 tff(19687,plain,
% 50.20/32.69 (v84(constB154, bitIndex2) | (~v94(constB154))),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19686, 405, 19680])).
% 50.20/32.69 tff(19688,plain,
% 50.20/32.69 (v84(constB154, bitIndex2)),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19687, 19666])).
% 50.20/32.69 tff(19689,plain,
% 50.20/32.69 ((~v1(constB155)) <=> (~v1(constB155))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19690,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 50.20/32.69 tff(19691,plain,
% 50.20/32.69 (~v1(constB155)),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19690, 19689])).
% 50.20/32.69 tff(19692,plain,
% 50.20/32.69 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19693,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 50.20/32.69 tff(19694,plain,
% 50.20/32.69 (nextState(constB154, constB155)),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19693, 19692])).
% 50.20/32.69 tff(19695,plain,
% 50.20/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19696,plain,
% 50.20/32.69 (((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19697,plain,
% 50.20/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155))))),
% 50.20/32.69 inference(monotonicity,[status(thm)],[19696])).
% 50.20/32.69 tff(19698,plain,
% 50.20/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))),
% 50.20/32.69 inference(transitivity,[status(thm)],[19697, 19695])).
% 50.20/32.69 tff(19699,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155))),
% 50.20/32.69 inference(quant_inst,[status(thm)],[])).
% 50.20/32.69 tff(19700,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155))),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19699, 19698])).
% 50.20/32.69 tff(19701,plain,
% 50.20/32.69 (~v95(constB155)),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19700, 110, 19694, 19691])).
% 50.20/32.69 tff(19702,plain,
% 50.20/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155)))),
% 50.20/32.69 inference(rewrite,[status(thm)],[])).
% 50.20/32.69 tff(19703,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155)))),
% 50.20/32.69 inference(quant_inst,[status(thm)],[])).
% 50.20/32.69 tff(19704,plain,
% 50.20/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155))),
% 50.20/32.69 inference(modus_ponens,[status(thm)],[19703, 19702])).
% 50.20/32.69 tff(19705,plain,
% 50.20/32.69 (v95(constB155) | (~v94(constB155))),
% 50.20/32.69 inference(unit_resolution,[status(thm)],[19704, 127, 19694])).
% 50.20/32.69 tff(19706,plain,
% 50.20/32.70 (~v94(constB155)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19705, 19701])).
% 50.20/32.70 tff(19707,plain,
% 50.20/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19708,plain,
% 50.20/32.70 (((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2)) <=> ((~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19709,plain,
% 50.20/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2)))),
% 50.20/32.70 inference(monotonicity,[status(thm)],[19708])).
% 50.20/32.70 tff(19710,plain,
% 50.20/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))),
% 50.20/32.70 inference(transitivity,[status(thm)],[19709, 19707])).
% 50.20/32.70 tff(19711,plain,
% 50.20/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2))),
% 50.20/32.70 inference(quant_inst,[status(thm)],[])).
% 50.20/32.70 tff(19712,plain,
% 50.20/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2)),
% 50.20/32.70 inference(modus_ponens,[status(thm)],[19711, 19710])).
% 50.20/32.70 tff(19713,plain,
% 50.20/32.70 ((~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19712, 576, 19694])).
% 50.20/32.70 tff(19714,plain,
% 50.20/32.70 ((~v84(constB154, bitIndex2)) | v84(constB155, bitIndex2)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19713, 19706])).
% 50.20/32.70 tff(19715,plain,
% 50.20/32.70 (v84(constB155, bitIndex2)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19714, 19688])).
% 50.20/32.70 tff(19716,plain,
% 50.20/32.70 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB153)) | v124(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB153)) | v124(constB153, bitIndex1))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19717,plain,
% 50.20/32.70 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB153)) | v124(constB153, bitIndex1))),
% 50.20/32.70 inference(quant_inst,[status(thm)],[])).
% 50.20/32.70 tff(19718,plain,
% 50.20/32.70 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB153)) | v124(constB153, bitIndex1)),
% 50.20/32.70 inference(modus_ponens,[status(thm)],[19717, 19716])).
% 50.20/32.70 tff(19719,plain,
% 50.20/32.70 (v124(constB153, bitIndex1)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19718, 843, 19598])).
% 50.20/32.70 tff(19720,plain,
% 50.20/32.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB153) | (~v124(constB153, bitIndex1)) | v121(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB153) | (~v124(constB153, bitIndex1)) | v121(constB153, bitIndex1))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19721,plain,
% 50.20/32.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB153) | (~v124(constB153, bitIndex1)) | v121(constB153, bitIndex1))),
% 50.20/32.70 inference(quant_inst,[status(thm)],[])).
% 50.20/32.70 tff(19722,plain,
% 50.20/32.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB153) | (~v124(constB153, bitIndex1)) | v121(constB153, bitIndex1)),
% 50.20/32.70 inference(modus_ponens,[status(thm)],[19721, 19720])).
% 50.20/32.70 tff(19723,plain,
% 50.20/32.70 ((~v124(constB153, bitIndex1)) | v121(constB153, bitIndex1)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19722, 857, 19617])).
% 50.20/32.70 tff(19724,plain,
% 50.20/32.70 (v121(constB153, bitIndex1)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19723, 19719])).
% 50.20/32.70 tff(19725,plain,
% 50.20/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex1)) | v123(constB154, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex1)) | v123(constB154, bitIndex1))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19726,plain,
% 50.20/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex1)) | v123(constB154, bitIndex1))),
% 50.20/32.70 inference(quant_inst,[status(thm)],[])).
% 50.20/32.70 tff(19727,plain,
% 50.20/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex1)) | v123(constB154, bitIndex1)),
% 50.20/32.70 inference(modus_ponens,[status(thm)],[19726, 19725])).
% 50.20/32.70 tff(19728,plain,
% 50.20/32.70 ((~v121(constB153, bitIndex1)) | v123(constB154, bitIndex1)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19727, 872, 19632])).
% 50.20/32.70 tff(19729,plain,
% 50.20/32.70 (v123(constB154, bitIndex1)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19728, 19724])).
% 50.20/32.70 tff(19730,plain,
% 50.20/32.70 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~v123(constB154, bitIndex1)) | (~v94(constB154)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB154, bitIndex1) | (~v123(constB154, bitIndex1)) | (~v94(constB154)))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19731,plain,
% 50.20/32.70 ((v84(constB154, bitIndex1) | (~v94(constB154)) | (~v123(constB154, bitIndex1))) <=> (v84(constB154, bitIndex1) | (~v123(constB154, bitIndex1)) | (~v94(constB154)))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19732,plain,
% 50.20/32.70 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~v94(constB154)) | (~v123(constB154, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~v123(constB154, bitIndex1)) | (~v94(constB154))))),
% 50.20/32.70 inference(monotonicity,[status(thm)],[19731])).
% 50.20/32.70 tff(19733,plain,
% 50.20/32.70 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~v94(constB154)) | (~v123(constB154, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB154, bitIndex1) | (~v123(constB154, bitIndex1)) | (~v94(constB154)))),
% 50.20/32.70 inference(transitivity,[status(thm)],[19732, 19730])).
% 50.20/32.70 tff(19734,plain,
% 50.20/32.70 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~v94(constB154)) | (~v123(constB154, bitIndex1)))),
% 50.20/32.70 inference(quant_inst,[status(thm)],[])).
% 50.20/32.70 tff(19735,plain,
% 50.20/32.70 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB154, bitIndex1) | (~v123(constB154, bitIndex1)) | (~v94(constB154))),
% 50.20/32.70 inference(modus_ponens,[status(thm)],[19734, 19733])).
% 50.20/32.70 tff(19736,plain,
% 50.20/32.70 (v84(constB154, bitIndex1) | (~v94(constB154))),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19735, 887, 19729])).
% 50.20/32.70 tff(19737,plain,
% 50.20/32.70 (v84(constB154, bitIndex1)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19736, 19666])).
% 50.20/32.70 tff(19738,plain,
% 50.20/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex1))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19739,plain,
% 50.20/32.70 (((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex1)) | v94(constB155) | v84(constB155, bitIndex1)) <=> ((~v84(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex1))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19740,plain,
% 50.20/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex1)) | v94(constB155) | v84(constB155, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex1)))),
% 50.20/32.70 inference(monotonicity,[status(thm)],[19739])).
% 50.20/32.70 tff(19741,plain,
% 50.20/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex1)) | v94(constB155) | v84(constB155, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex1))),
% 50.20/32.70 inference(transitivity,[status(thm)],[19740, 19738])).
% 50.20/32.70 tff(19742,plain,
% 50.20/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex1)) | v94(constB155) | v84(constB155, bitIndex1))),
% 50.20/32.70 inference(quant_inst,[status(thm)],[])).
% 50.20/32.70 tff(19743,plain,
% 50.20/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex1)),
% 50.20/32.70 inference(modus_ponens,[status(thm)],[19742, 19741])).
% 50.20/32.70 tff(19744,plain,
% 50.20/32.70 ((~v84(constB154, bitIndex1)) | v94(constB155) | v84(constB155, bitIndex1)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19743, 905, 19694])).
% 50.20/32.70 tff(19745,plain,
% 50.20/32.70 ((~v84(constB154, bitIndex1)) | v84(constB155, bitIndex1)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19744, 19706])).
% 50.20/32.70 tff(19746,plain,
% 50.20/32.70 (v84(constB155, bitIndex1)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19745, 19737])).
% 50.20/32.70 tff(19747,plain,
% 50.20/32.70 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB153)) | (~v124(constB153, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB153)) | (~v124(constB153, bitIndex0)))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19748,plain,
% 50.20/32.70 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB153)) | (~v124(constB153, bitIndex0)))),
% 50.20/32.70 inference(quant_inst,[status(thm)],[])).
% 50.20/32.70 tff(19749,plain,
% 50.20/32.70 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB153)) | (~v124(constB153, bitIndex0))),
% 50.20/32.70 inference(modus_ponens,[status(thm)],[19748, 19747])).
% 50.20/32.70 tff(19750,plain,
% 50.20/32.70 (~v124(constB153, bitIndex0)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19749, 921, 19598])).
% 50.20/32.70 tff(19751,plain,
% 50.20/32.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB153, bitIndex0)) | v26(constB153) | v124(constB153, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB153, bitIndex0)) | v26(constB153) | v124(constB153, bitIndex0))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19752,plain,
% 50.20/32.70 ((v26(constB153) | v124(constB153, bitIndex0) | (~v121(constB153, bitIndex0))) <=> ((~v121(constB153, bitIndex0)) | v26(constB153) | v124(constB153, bitIndex0))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19753,plain,
% 50.20/32.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB153) | v124(constB153, bitIndex0) | (~v121(constB153, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB153, bitIndex0)) | v26(constB153) | v124(constB153, bitIndex0)))),
% 50.20/32.70 inference(monotonicity,[status(thm)],[19752])).
% 50.20/32.70 tff(19754,plain,
% 50.20/32.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB153) | v124(constB153, bitIndex0) | (~v121(constB153, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB153, bitIndex0)) | v26(constB153) | v124(constB153, bitIndex0))),
% 50.20/32.70 inference(transitivity,[status(thm)],[19753, 19751])).
% 50.20/32.70 tff(19755,plain,
% 50.20/32.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB153) | v124(constB153, bitIndex0) | (~v121(constB153, bitIndex0)))),
% 50.20/32.70 inference(quant_inst,[status(thm)],[])).
% 50.20/32.70 tff(19756,plain,
% 50.20/32.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB153, bitIndex0)) | v26(constB153) | v124(constB153, bitIndex0)),
% 50.20/32.70 inference(modus_ponens,[status(thm)],[19755, 19754])).
% 50.20/32.70 tff(19757,plain,
% 50.20/32.70 ((~v121(constB153, bitIndex0)) | v124(constB153, bitIndex0)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19756, 607, 19617])).
% 50.20/32.70 tff(19758,plain,
% 50.20/32.70 (~v121(constB153, bitIndex0)),
% 50.20/32.70 inference(unit_resolution,[status(thm)],[19757, 19750])).
% 50.20/32.70 tff(19759,plain,
% 50.20/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v121(constB153, bitIndex0) | (~v123(constB154, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB153, constB154)) | v121(constB153, bitIndex0) | (~v123(constB154, bitIndex0)))),
% 50.20/32.70 inference(rewrite,[status(thm)],[])).
% 50.20/32.70 tff(19760,plain,
% 50.20/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v121(constB153, bitIndex0) | (~v123(constB154, bitIndex0)))),
% 50.20/32.71 inference(quant_inst,[status(thm)],[])).
% 50.20/32.71 tff(19761,plain,
% 50.20/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB153, constB154)) | v121(constB153, bitIndex0) | (~v123(constB154, bitIndex0))),
% 50.20/32.71 inference(modus_ponens,[status(thm)],[19760, 19759])).
% 50.20/32.71 tff(19762,plain,
% 50.20/32.71 (v121(constB153, bitIndex0) | (~v123(constB154, bitIndex0))),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19761, 637, 19632])).
% 50.20/32.71 tff(19763,plain,
% 50.20/32.71 (~v123(constB154, bitIndex0)),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19762, 19758])).
% 50.20/32.71 tff(19764,plain,
% 50.20/32.71 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | v123(constB154, bitIndex0) | (~v94(constB154)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB154, bitIndex0)) | v123(constB154, bitIndex0) | (~v94(constB154)))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19765,plain,
% 50.20/32.71 (((~v84(constB154, bitIndex0)) | (~v94(constB154)) | v123(constB154, bitIndex0)) <=> ((~v84(constB154, bitIndex0)) | v123(constB154, bitIndex0) | (~v94(constB154)))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19766,plain,
% 50.20/32.71 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | (~v94(constB154)) | v123(constB154, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | v123(constB154, bitIndex0) | (~v94(constB154))))),
% 50.20/32.71 inference(monotonicity,[status(thm)],[19765])).
% 50.20/32.71 tff(19767,plain,
% 50.20/32.71 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | (~v94(constB154)) | v123(constB154, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB154, bitIndex0)) | v123(constB154, bitIndex0) | (~v94(constB154)))),
% 50.20/32.71 inference(transitivity,[status(thm)],[19766, 19764])).
% 50.20/32.71 tff(19768,plain,
% 50.20/32.71 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | (~v94(constB154)) | v123(constB154, bitIndex0))),
% 50.20/32.71 inference(quant_inst,[status(thm)],[])).
% 50.20/32.71 tff(19769,plain,
% 50.20/32.71 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB154, bitIndex0)) | v123(constB154, bitIndex0) | (~v94(constB154))),
% 50.20/32.71 inference(modus_ponens,[status(thm)],[19768, 19767])).
% 50.20/32.71 tff(19770,plain,
% 50.20/32.71 ((~v84(constB154, bitIndex0)) | (~v94(constB154))),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19769, 652, 19763])).
% 50.20/32.71 tff(19771,plain,
% 50.20/32.71 (~v84(constB154, bitIndex0)),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19770, 19666])).
% 50.20/32.71 tff(19772,plain,
% 50.20/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex0)))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19773,plain,
% 50.20/32.71 (((~nextState(constB154, constB155)) | v84(constB154, bitIndex0) | v94(constB155) | (~v84(constB155, bitIndex0))) <=> (v84(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex0)))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19774,plain,
% 50.20/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v84(constB154, bitIndex0) | v94(constB155) | (~v84(constB155, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex0))))),
% 50.20/32.71 inference(monotonicity,[status(thm)],[19773])).
% 50.20/32.71 tff(19775,plain,
% 50.20/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v84(constB154, bitIndex0) | v94(constB155) | (~v84(constB155, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex0)))),
% 50.20/32.71 inference(transitivity,[status(thm)],[19774, 19772])).
% 50.20/32.71 tff(19776,plain,
% 50.20/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v84(constB154, bitIndex0) | v94(constB155) | (~v84(constB155, bitIndex0)))),
% 50.20/32.71 inference(quant_inst,[status(thm)],[])).
% 50.20/32.71 tff(19777,plain,
% 50.20/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex0))),
% 50.20/32.71 inference(modus_ponens,[status(thm)],[19776, 19775])).
% 50.20/32.71 tff(19778,plain,
% 50.20/32.71 (v84(constB154, bitIndex0) | v94(constB155) | (~v84(constB155, bitIndex0))),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19777, 184, 19694])).
% 50.20/32.71 tff(19779,plain,
% 50.20/32.71 (v84(constB154, bitIndex0) | (~v84(constB155, bitIndex0))),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19778, 19706])).
% 50.20/32.71 tff(19780,plain,
% 50.20/32.71 (~v84(constB155, bitIndex0)),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19779, 19771])).
% 50.20/32.71 tff(19781,plain,
% 50.20/32.71 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB155, bitIndex0) | (~v84(constB155, bitIndex1)) | (~v84(constB155, bitIndex2)) | v119(constB155))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB155, bitIndex0) | (~v84(constB155, bitIndex1)) | (~v84(constB155, bitIndex2)) | v119(constB155))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19782,plain,
% 50.20/32.71 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB155, bitIndex0) | (~v84(constB155, bitIndex1)) | (~v84(constB155, bitIndex2)) | v119(constB155))),
% 50.20/32.71 inference(quant_inst,[status(thm)],[])).
% 50.20/32.71 tff(19783,plain,
% 50.20/32.71 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB155, bitIndex0) | (~v84(constB155, bitIndex1)) | (~v84(constB155, bitIndex2)) | v119(constB155)),
% 50.20/32.71 inference(modus_ponens,[status(thm)],[19782, 19781])).
% 50.20/32.71 tff(19784,plain,
% 50.20/32.71 (v119(constB155)),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19783, 965, 19780, 19746, 19715])).
% 50.20/32.71 tff(19785,plain,
% 50.20/32.71 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB155)) | v107(constB155))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB155)) | v107(constB155))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19786,plain,
% 50.20/32.71 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB155)) | v107(constB155))),
% 50.20/32.71 inference(quant_inst,[status(thm)],[])).
% 50.20/32.71 tff(19787,plain,
% 50.20/32.71 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB155)) | v107(constB155)),
% 50.20/32.71 inference(modus_ponens,[status(thm)],[19786, 19785])).
% 50.20/32.71 tff(19788,plain,
% 50.20/32.71 (v107(constB155)),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19787, 976, 19784])).
% 50.20/32.71 tff(19789,assumption,(v26(constB155)), introduced(assumption)).
% 50.20/32.71 tff(19790,plain,
% 50.20/32.71 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB155))),
% 50.20/32.71 inference(quant_inst,[status(thm)],[])).
% 50.20/32.71 tff(19791,plain,
% 50.20/32.71 ($false),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19790, 55, 19789])).
% 50.20/32.71 tff(19792,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 50.20/32.71 tff(19793,plain,
% 50.20/32.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB155) | (~v107(constB155)) | v106(constB155))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB155) | (~v107(constB155)) | v106(constB155))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19794,plain,
% 50.20/32.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB155) | (~v107(constB155)) | v106(constB155))),
% 50.20/32.71 inference(quant_inst,[status(thm)],[])).
% 50.20/32.71 tff(19795,plain,
% 50.20/32.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB155) | (~v107(constB155)) | v106(constB155)),
% 50.20/32.71 inference(modus_ponens,[status(thm)],[19794, 19793])).
% 50.20/32.71 tff(19796,plain,
% 50.20/32.71 ((~v107(constB155)) | v106(constB155)),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19795, 348, 19792])).
% 50.20/32.71 tff(19797,plain,
% 50.20/32.71 (v106(constB155)),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19796, 19788])).
% 50.20/32.71 tff(19798,plain,
% 50.20/32.71 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB155) | (~v106(constB155)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB155) | (~v106(constB155)))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19799,plain,
% 50.20/32.71 (((~v106(constB155)) | v102(constB155)) <=> (v102(constB155) | (~v106(constB155)))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19800,plain,
% 50.20/32.71 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB155)) | v102(constB155))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB155) | (~v106(constB155))))),
% 50.20/32.71 inference(monotonicity,[status(thm)],[19799])).
% 50.20/32.71 tff(19801,plain,
% 50.20/32.71 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB155)) | v102(constB155))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB155) | (~v106(constB155)))),
% 50.20/32.71 inference(transitivity,[status(thm)],[19800, 19798])).
% 50.20/32.71 tff(19802,plain,
% 50.20/32.71 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB155)) | v102(constB155))),
% 50.20/32.71 inference(quant_inst,[status(thm)],[])).
% 50.20/32.71 tff(19803,plain,
% 50.20/32.71 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB155) | (~v106(constB155))),
% 50.20/32.71 inference(modus_ponens,[status(thm)],[19802, 19801])).
% 50.20/32.71 tff(19804,plain,
% 50.20/32.71 (v102(constB155)),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19803, 504, 19797])).
% 50.20/32.71 tff(19805,plain,
% 50.20/32.71 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19806,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 50.20/32.71 tff(19807,plain,
% 50.20/32.71 (nextState(constB155, constB156)),
% 50.20/32.71 inference(modus_ponens,[status(thm)],[19806, 19805])).
% 50.20/32.71 tff(19808,plain,
% 50.20/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19809,plain,
% 50.20/32.71 (((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156)) <=> ((~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19810,plain,
% 50.20/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155))))),
% 50.20/32.71 inference(monotonicity,[status(thm)],[19809])).
% 50.20/32.71 tff(19811,plain,
% 50.20/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))),
% 50.20/32.71 inference(transitivity,[status(thm)],[19810, 19808])).
% 50.20/32.71 tff(19812,plain,
% 50.20/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156))),
% 50.20/32.71 inference(quant_inst,[status(thm)],[])).
% 50.20/32.71 tff(19813,plain,
% 50.20/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155))),
% 50.20/32.71 inference(modus_ponens,[status(thm)],[19812, 19811])).
% 50.20/32.71 tff(19814,plain,
% 50.20/32.71 (v104(constB156) | (~v102(constB155))),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19813, 489, 19807])).
% 50.20/32.71 tff(19815,plain,
% 50.20/32.71 (v104(constB156)),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19814, 19804])).
% 50.20/32.71 tff(19816,plain,
% 50.20/32.71 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156)))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19817,plain,
% 50.20/32.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156)))),
% 50.20/32.71 inference(quant_inst,[status(thm)],[])).
% 50.20/32.71 tff(19818,plain,
% 50.20/32.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156))),
% 50.20/32.71 inference(modus_ponens,[status(thm)],[19817, 19816])).
% 50.20/32.71 tff(19819,plain,
% 50.20/32.71 (~v98(constB156)),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19818, 423, 19807, 19691])).
% 50.20/32.71 tff(19820,plain,
% 50.20/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB155, constB156)) | v96(constB156) | v98(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB155, constB156)) | v96(constB156) | v98(constB156))),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19821,plain,
% 50.20/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB155, constB156)) | v96(constB156) | v98(constB156))),
% 50.20/32.71 inference(quant_inst,[status(thm)],[])).
% 50.20/32.71 tff(19822,plain,
% 50.20/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB155, constB156)) | v96(constB156) | v98(constB156)),
% 50.20/32.71 inference(modus_ponens,[status(thm)],[19821, 19820])).
% 50.20/32.71 tff(19823,plain,
% 50.20/32.71 (v96(constB156) | v98(constB156)),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19822, 437, 19807])).
% 50.20/32.71 tff(19824,plain,
% 50.20/32.71 (v96(constB156)),
% 50.20/32.71 inference(unit_resolution,[status(thm)],[19823, 19819])).
% 50.20/32.71 tff(19825,plain,
% 50.20/32.71 (v1(constB156) <=> v1(constB156)),
% 50.20/32.71 inference(rewrite,[status(thm)],[])).
% 50.20/32.71 tff(19826,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 50.20/32.72 tff(19827,plain,
% 50.20/32.72 (v1(constB156)),
% 50.20/32.72 inference(modus_ponens,[status(thm)],[19826, 19825])).
% 50.20/32.72 tff(19828,plain,
% 50.20/32.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156)))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19829,plain,
% 50.20/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156)))),
% 50.20/32.72 inference(quant_inst,[status(thm)],[])).
% 50.20/32.72 tff(19830,plain,
% 50.20/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156))),
% 50.20/32.72 inference(modus_ponens,[status(thm)],[19829, 19828])).
% 50.20/32.72 tff(19831,plain,
% 50.20/32.72 (v95(constB156) | (~v96(constB156))),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19830, 455, 19807, 19827])).
% 50.20/32.72 tff(19832,plain,
% 50.20/32.72 (v95(constB156)),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19831, 19824])).
% 50.20/32.72 tff(19833,plain,
% 50.20/32.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19834,plain,
% 50.20/32.72 (((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156)) <=> ((~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19835,plain,
% 50.20/32.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156))))),
% 50.20/32.72 inference(monotonicity,[status(thm)],[19834])).
% 50.20/32.72 tff(19836,plain,
% 50.20/32.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))),
% 50.20/32.72 inference(transitivity,[status(thm)],[19835, 19833])).
% 50.20/32.72 tff(19837,plain,
% 50.20/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156))),
% 50.20/32.72 inference(quant_inst,[status(thm)],[])).
% 50.20/32.72 tff(19838,plain,
% 50.20/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156))),
% 50.20/32.72 inference(modus_ponens,[status(thm)],[19837, 19836])).
% 50.20/32.72 tff(19839,plain,
% 50.20/32.72 (v94(constB156) | (~v95(constB156)) | (~v104(constB156))),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19838, 470, 19807])).
% 50.20/32.72 tff(19840,plain,
% 50.20/32.72 (v94(constB156) | (~v104(constB156))),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19839, 19832])).
% 50.20/32.72 tff(19841,plain,
% 50.20/32.72 (v94(constB156)),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19840, 19815])).
% 50.20/32.72 tff(19842,plain,
% 50.20/32.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB155)) | (~v84(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB155)) | (~v84(constB155, bitIndex2)))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19843,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB155)) | (~v84(constB155, bitIndex2)))),
% 50.20/32.72 inference(quant_inst,[status(thm)],[])).
% 50.20/32.72 tff(19844,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB155)) | (~v84(constB155, bitIndex2))),
% 50.20/32.72 inference(modus_ponens,[status(thm)],[19843, 19842])).
% 50.20/32.72 tff(19845,plain,
% 50.20/32.72 (~v115(constB155)),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19844, 1036, 19715])).
% 50.20/32.72 tff(19846,plain,
% 50.20/32.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB155)) | (~v84(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB155)) | (~v84(constB155, bitIndex2)))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19847,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB155)) | (~v84(constB155, bitIndex2)))),
% 50.20/32.72 inference(quant_inst,[status(thm)],[])).
% 50.20/32.72 tff(19848,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB155)) | (~v84(constB155, bitIndex2))),
% 50.20/32.72 inference(modus_ponens,[status(thm)],[19847, 19846])).
% 50.20/32.72 tff(19849,plain,
% 50.20/32.72 (~v116(constB155)),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19848, 1047, 19715])).
% 50.20/32.72 tff(19850,plain,
% 50.20/32.72 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB155)) | (~v84(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB155)) | (~v84(constB155, bitIndex1)))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19851,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB155)) | (~v84(constB155, bitIndex1)))),
% 50.20/32.72 inference(quant_inst,[status(thm)],[])).
% 50.20/32.72 tff(19852,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB155)) | (~v84(constB155, bitIndex1))),
% 50.20/32.72 inference(modus_ponens,[status(thm)],[19851, 19850])).
% 50.20/32.72 tff(19853,plain,
% 50.20/32.72 (~v113(constB155)),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19852, 1058, 19746])).
% 50.20/32.72 tff(19854,plain,
% 50.20/32.72 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB155)) | (~v84(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB155)) | (~v84(constB155, bitIndex1)))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19855,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB155)) | (~v84(constB155, bitIndex1)))),
% 50.20/32.72 inference(quant_inst,[status(thm)],[])).
% 50.20/32.72 tff(19856,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB155)) | (~v84(constB155, bitIndex1))),
% 50.20/32.72 inference(modus_ponens,[status(thm)],[19855, 19854])).
% 50.20/32.72 tff(19857,plain,
% 50.20/32.72 (~v118(constB155)),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19856, 1069, 19746])).
% 50.20/32.72 tff(19858,plain,
% 50.20/32.72 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB155)) | (~v84(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB155)) | (~v84(constB155, bitIndex1)))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19859,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB155)) | (~v84(constB155, bitIndex1)))),
% 50.20/32.72 inference(quant_inst,[status(thm)],[])).
% 50.20/32.72 tff(19860,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB155)) | (~v84(constB155, bitIndex1))),
% 50.20/32.72 inference(modus_ponens,[status(thm)],[19859, 19858])).
% 50.20/32.72 tff(19861,plain,
% 50.20/32.72 (~v172(constB155)),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19860, 1080, 19746])).
% 50.20/32.72 tff(19862,plain,
% 50.20/32.72 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB155)) | (~v84(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB155)) | (~v84(constB155, bitIndex1)))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19863,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB155)) | (~v84(constB155, bitIndex1)))),
% 50.20/32.72 inference(quant_inst,[status(thm)],[])).
% 50.20/32.72 tff(19864,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB155)) | (~v84(constB155, bitIndex1))),
% 50.20/32.72 inference(modus_ponens,[status(thm)],[19863, 19862])).
% 50.20/32.72 tff(19865,plain,
% 50.20/32.72 (~v145(constB155)),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19864, 1091, 19746])).
% 50.20/32.72 tff(19866,plain,
% 50.20/32.72 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex2)))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19867,plain,
% 50.20/32.72 ((v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex2))) <=> (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex2)))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19868,plain,
% 50.20/32.72 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex2))))),
% 50.20/32.72 inference(monotonicity,[status(thm)],[19867])).
% 50.20/32.72 tff(19869,plain,
% 50.20/32.72 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex2)))),
% 50.20/32.72 inference(transitivity,[status(thm)],[19868, 19866])).
% 50.20/32.72 tff(19870,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex2)))),
% 50.20/32.72 inference(quant_inst,[status(thm)],[])).
% 50.20/32.72 tff(19871,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex2))),
% 50.20/32.72 inference(modus_ponens,[status(thm)],[19870, 19869])).
% 50.20/32.72 tff(19872,plain,
% 50.20/32.72 (~v124(constB155, bitIndex2)),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19871, 1170, 19865, 19861, 19857, 19853, 19849, 19845])).
% 50.20/32.72 tff(19873,plain,
% 50.20/32.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB155, bitIndex2)) | v26(constB155) | v124(constB155, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB155, bitIndex2)) | v26(constB155) | v124(constB155, bitIndex2))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19874,plain,
% 50.20/32.72 ((v26(constB155) | v124(constB155, bitIndex2) | (~v121(constB155, bitIndex2))) <=> ((~v121(constB155, bitIndex2)) | v26(constB155) | v124(constB155, bitIndex2))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19875,plain,
% 50.20/32.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB155) | v124(constB155, bitIndex2) | (~v121(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB155, bitIndex2)) | v26(constB155) | v124(constB155, bitIndex2)))),
% 50.20/32.72 inference(monotonicity,[status(thm)],[19874])).
% 50.20/32.72 tff(19876,plain,
% 50.20/32.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB155) | v124(constB155, bitIndex2) | (~v121(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB155, bitIndex2)) | v26(constB155) | v124(constB155, bitIndex2))),
% 50.20/32.72 inference(transitivity,[status(thm)],[19875, 19873])).
% 50.20/32.72 tff(19877,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB155) | v124(constB155, bitIndex2) | (~v121(constB155, bitIndex2)))),
% 50.20/32.72 inference(quant_inst,[status(thm)],[])).
% 50.20/32.72 tff(19878,plain,
% 50.20/32.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB155, bitIndex2)) | v26(constB155) | v124(constB155, bitIndex2)),
% 50.20/32.72 inference(modus_ponens,[status(thm)],[19877, 19876])).
% 50.20/32.72 tff(19879,plain,
% 50.20/32.72 ((~v121(constB155, bitIndex2)) | v124(constB155, bitIndex2)),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19878, 1187, 19792])).
% 50.20/32.72 tff(19880,plain,
% 50.20/32.72 (~v121(constB155, bitIndex2)),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19879, 19872])).
% 50.20/32.72 tff(19881,plain,
% 50.20/32.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v121(constB155, bitIndex2) | (~v123(constB156, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB155, constB156)) | v121(constB155, bitIndex2) | (~v123(constB156, bitIndex2)))),
% 50.20/32.72 inference(rewrite,[status(thm)],[])).
% 50.20/32.72 tff(19882,plain,
% 50.20/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v121(constB155, bitIndex2) | (~v123(constB156, bitIndex2)))),
% 50.20/32.72 inference(quant_inst,[status(thm)],[])).
% 50.20/32.72 tff(19883,plain,
% 50.20/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB155, constB156)) | v121(constB155, bitIndex2) | (~v123(constB156, bitIndex2))),
% 50.20/32.72 inference(modus_ponens,[status(thm)],[19882, 19881])).
% 50.20/32.72 tff(19884,plain,
% 50.20/32.72 (v121(constB155, bitIndex2) | (~v123(constB156, bitIndex2))),
% 50.20/32.72 inference(unit_resolution,[status(thm)],[19883, 1205, 19807])).
% 50.20/32.73 tff(19885,plain,
% 50.20/32.73 (~v123(constB156, bitIndex2)),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19884, 19880])).
% 50.20/32.73 tff(19886,plain,
% 50.20/32.73 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB156, bitIndex2)) | v123(constB156, bitIndex2) | (~v94(constB156)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB156, bitIndex2)) | v123(constB156, bitIndex2) | (~v94(constB156)))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19887,plain,
% 50.20/32.73 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB156, bitIndex2)) | v123(constB156, bitIndex2) | (~v94(constB156)))),
% 50.20/32.73 inference(quant_inst,[status(thm)],[])).
% 50.20/32.73 tff(19888,plain,
% 50.20/32.73 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB156, bitIndex2)) | v123(constB156, bitIndex2) | (~v94(constB156))),
% 50.20/32.73 inference(modus_ponens,[status(thm)],[19887, 19886])).
% 50.20/32.73 tff(19889,plain,
% 50.20/32.73 ((~v84(constB156, bitIndex2)) | (~v94(constB156))),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19888, 1220, 19885])).
% 50.20/32.73 tff(19890,plain,
% 50.20/32.73 (~v84(constB156, bitIndex2)),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19889, 19841])).
% 50.20/32.73 tff(19891,plain,
% 50.20/32.73 ((~v1(constB157)) <=> (~v1(constB157))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19892,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 50.20/32.73 tff(19893,plain,
% 50.20/32.73 (~v1(constB157)),
% 50.20/32.73 inference(modus_ponens,[status(thm)],[19892, 19891])).
% 50.20/32.73 tff(19894,plain,
% 50.20/32.73 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19895,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 50.20/32.73 tff(19896,plain,
% 50.20/32.73 (nextState(constB156, constB157)),
% 50.20/32.73 inference(modus_ponens,[status(thm)],[19895, 19894])).
% 50.20/32.73 tff(19897,plain,
% 50.20/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19898,plain,
% 50.20/32.73 (((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19899,plain,
% 50.20/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157))))),
% 50.20/32.73 inference(monotonicity,[status(thm)],[19898])).
% 50.20/32.73 tff(19900,plain,
% 50.20/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))),
% 50.20/32.73 inference(transitivity,[status(thm)],[19899, 19897])).
% 50.20/32.73 tff(19901,plain,
% 50.20/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157))),
% 50.20/32.73 inference(quant_inst,[status(thm)],[])).
% 50.20/32.73 tff(19902,plain,
% 50.20/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157))),
% 50.20/32.73 inference(modus_ponens,[status(thm)],[19901, 19900])).
% 50.20/32.73 tff(19903,plain,
% 50.20/32.73 (~v95(constB157)),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19902, 110, 19896, 19893])).
% 50.20/32.73 tff(19904,plain,
% 50.20/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157)))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19905,plain,
% 50.20/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157)))),
% 50.20/32.73 inference(quant_inst,[status(thm)],[])).
% 50.20/32.73 tff(19906,plain,
% 50.20/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157))),
% 50.20/32.73 inference(modus_ponens,[status(thm)],[19905, 19904])).
% 50.20/32.73 tff(19907,plain,
% 50.20/32.73 (v95(constB157) | (~v94(constB157))),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19906, 127, 19896])).
% 50.20/32.73 tff(19908,plain,
% 50.20/32.73 (~v94(constB157)),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19907, 19903])).
% 50.20/32.73 tff(19909,plain,
% 50.20/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex2)))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19910,plain,
% 50.20/32.73 (((~nextState(constB156, constB157)) | v84(constB156, bitIndex2) | v94(constB157) | (~v84(constB157, bitIndex2))) <=> (v84(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex2)))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19911,plain,
% 50.20/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex2) | v94(constB157) | (~v84(constB157, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex2))))),
% 50.20/32.73 inference(monotonicity,[status(thm)],[19910])).
% 50.20/32.73 tff(19912,plain,
% 50.20/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex2) | v94(constB157) | (~v84(constB157, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex2)))),
% 50.20/32.73 inference(transitivity,[status(thm)],[19911, 19909])).
% 50.20/32.73 tff(19913,plain,
% 50.20/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex2) | v94(constB157) | (~v84(constB157, bitIndex2)))),
% 50.20/32.73 inference(quant_inst,[status(thm)],[])).
% 50.20/32.73 tff(19914,plain,
% 50.20/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex2))),
% 50.20/32.73 inference(modus_ponens,[status(thm)],[19913, 19912])).
% 50.20/32.73 tff(19915,plain,
% 50.20/32.73 (v84(constB156, bitIndex2) | v94(constB157) | (~v84(constB157, bitIndex2))),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19914, 142, 19896])).
% 50.20/32.73 tff(19916,plain,
% 50.20/32.73 (v84(constB156, bitIndex2) | (~v84(constB157, bitIndex2))),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19915, 19908])).
% 50.20/32.73 tff(19917,plain,
% 50.20/32.73 (~v84(constB157, bitIndex2)),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19916, 19890])).
% 50.20/32.73 tff(19918,plain,
% 50.20/32.73 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex1)))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19919,plain,
% 50.20/32.73 ((v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex1))) <=> (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex1)))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19920,plain,
% 50.20/32.73 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex1))))),
% 50.20/32.73 inference(monotonicity,[status(thm)],[19919])).
% 50.20/32.73 tff(19921,plain,
% 50.20/32.73 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex1)))),
% 50.20/32.73 inference(transitivity,[status(thm)],[19920, 19918])).
% 50.20/32.73 tff(19922,plain,
% 50.20/32.73 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex1)))),
% 50.20/32.73 inference(quant_inst,[status(thm)],[])).
% 50.20/32.73 tff(19923,plain,
% 50.20/32.73 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex1))),
% 50.20/32.73 inference(modus_ponens,[status(thm)],[19922, 19921])).
% 50.20/32.73 tff(19924,plain,
% 50.20/32.73 (~v124(constB155, bitIndex1)),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19923, 1105, 19865, 19861, 19857, 19853, 19849, 19845])).
% 50.20/32.73 tff(19925,plain,
% 50.20/32.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB155, bitIndex1)) | v26(constB155) | v124(constB155, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB155, bitIndex1)) | v26(constB155) | v124(constB155, bitIndex1))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19926,plain,
% 50.20/32.73 ((v26(constB155) | v124(constB155, bitIndex1) | (~v121(constB155, bitIndex1))) <=> ((~v121(constB155, bitIndex1)) | v26(constB155) | v124(constB155, bitIndex1))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19927,plain,
% 50.20/32.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB155) | v124(constB155, bitIndex1) | (~v121(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB155, bitIndex1)) | v26(constB155) | v124(constB155, bitIndex1)))),
% 50.20/32.73 inference(monotonicity,[status(thm)],[19926])).
% 50.20/32.73 tff(19928,plain,
% 50.20/32.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB155) | v124(constB155, bitIndex1) | (~v121(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB155, bitIndex1)) | v26(constB155) | v124(constB155, bitIndex1))),
% 50.20/32.73 inference(transitivity,[status(thm)],[19927, 19925])).
% 50.20/32.73 tff(19929,plain,
% 50.20/32.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB155) | v124(constB155, bitIndex1) | (~v121(constB155, bitIndex1)))),
% 50.20/32.73 inference(quant_inst,[status(thm)],[])).
% 50.20/32.73 tff(19930,plain,
% 50.20/32.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB155, bitIndex1)) | v26(constB155) | v124(constB155, bitIndex1)),
% 50.20/32.73 inference(modus_ponens,[status(thm)],[19929, 19928])).
% 50.20/32.73 tff(19931,plain,
% 50.20/32.73 ((~v121(constB155, bitIndex1)) | v124(constB155, bitIndex1)),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19930, 233, 19792])).
% 50.20/32.73 tff(19932,plain,
% 50.20/32.73 (~v121(constB155, bitIndex1)),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19931, 19924])).
% 50.20/32.73 tff(19933,plain,
% 50.20/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v121(constB155, bitIndex1) | (~v123(constB156, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB155, constB156)) | v121(constB155, bitIndex1) | (~v123(constB156, bitIndex1)))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19934,plain,
% 50.20/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v121(constB155, bitIndex1) | (~v123(constB156, bitIndex1)))),
% 50.20/32.73 inference(quant_inst,[status(thm)],[])).
% 50.20/32.73 tff(19935,plain,
% 50.20/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB155, constB156)) | v121(constB155, bitIndex1) | (~v123(constB156, bitIndex1))),
% 50.20/32.73 inference(modus_ponens,[status(thm)],[19934, 19933])).
% 50.20/32.73 tff(19936,plain,
% 50.20/32.73 (v121(constB155, bitIndex1) | (~v123(constB156, bitIndex1))),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19935, 254, 19807])).
% 50.20/32.73 tff(19937,plain,
% 50.20/32.73 (~v123(constB156, bitIndex1)),
% 50.20/32.73 inference(unit_resolution,[status(thm)],[19936, 19932])).
% 50.20/32.73 tff(19938,plain,
% 50.20/32.73 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | v123(constB156, bitIndex1) | (~v94(constB156)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB156, bitIndex1)) | v123(constB156, bitIndex1) | (~v94(constB156)))),
% 50.20/32.73 inference(rewrite,[status(thm)],[])).
% 50.20/32.73 tff(19939,plain,
% 50.20/32.73 (((~v84(constB156, bitIndex1)) | (~v94(constB156)) | v123(constB156, bitIndex1)) <=> ((~v84(constB156, bitIndex1)) | v123(constB156, bitIndex1) | (~v94(constB156)))),
% 50.20/32.74 inference(rewrite,[status(thm)],[])).
% 50.20/32.74 tff(19940,plain,
% 50.20/32.74 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | (~v94(constB156)) | v123(constB156, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | v123(constB156, bitIndex1) | (~v94(constB156))))),
% 50.20/32.74 inference(monotonicity,[status(thm)],[19939])).
% 50.20/32.74 tff(19941,plain,
% 50.20/32.74 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | (~v94(constB156)) | v123(constB156, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB156, bitIndex1)) | v123(constB156, bitIndex1) | (~v94(constB156)))),
% 50.20/32.74 inference(transitivity,[status(thm)],[19940, 19938])).
% 50.20/32.74 tff(19942,plain,
% 50.20/32.74 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | (~v94(constB156)) | v123(constB156, bitIndex1))),
% 50.20/32.74 inference(quant_inst,[status(thm)],[])).
% 50.20/32.74 tff(19943,plain,
% 50.20/32.74 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB156, bitIndex1)) | v123(constB156, bitIndex1) | (~v94(constB156))),
% 50.20/32.74 inference(modus_ponens,[status(thm)],[19942, 19941])).
% 50.20/32.74 tff(19944,plain,
% 50.20/32.74 ((~v84(constB156, bitIndex1)) | (~v94(constB156))),
% 50.20/32.74 inference(unit_resolution,[status(thm)],[19943, 532, 19937])).
% 50.20/32.74 tff(19945,plain,
% 50.20/32.74 (~v84(constB156, bitIndex1)),
% 50.20/32.74 inference(unit_resolution,[status(thm)],[19944, 19841])).
% 50.20/32.74 tff(19946,plain,
% 50.20/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex1)))),
% 50.20/32.74 inference(rewrite,[status(thm)],[])).
% 50.20/32.74 tff(19947,plain,
% 50.20/32.74 (((~nextState(constB156, constB157)) | v84(constB156, bitIndex1) | v94(constB157) | (~v84(constB157, bitIndex1))) <=> (v84(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex1)))),
% 50.20/32.74 inference(rewrite,[status(thm)],[])).
% 50.20/32.74 tff(19948,plain,
% 50.20/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex1) | v94(constB157) | (~v84(constB157, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex1))))),
% 50.20/32.74 inference(monotonicity,[status(thm)],[19947])).
% 50.20/32.74 tff(19949,plain,
% 50.20/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex1) | v94(constB157) | (~v84(constB157, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex1)))),
% 50.20/32.74 inference(transitivity,[status(thm)],[19948, 19946])).
% 50.20/32.74 tff(19950,plain,
% 50.20/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex1) | v94(constB157) | (~v84(constB157, bitIndex1)))),
% 50.27/32.74 inference(quant_inst,[status(thm)],[])).
% 50.27/32.74 tff(19951,plain,
% 50.27/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex1))),
% 50.27/32.74 inference(modus_ponens,[status(thm)],[19950, 19949])).
% 50.27/32.74 tff(19952,plain,
% 50.27/32.74 (v84(constB156, bitIndex1) | v94(constB157) | (~v84(constB157, bitIndex1))),
% 50.27/32.74 inference(unit_resolution,[status(thm)],[19951, 163, 19896])).
% 50.27/32.74 tff(19953,plain,
% 50.27/32.74 (v84(constB156, bitIndex1) | (~v84(constB157, bitIndex1))),
% 50.27/32.74 inference(unit_resolution,[status(thm)],[19952, 19908])).
% 50.27/32.74 tff(19954,plain,
% 50.27/32.74 (~v84(constB157, bitIndex1)),
% 50.27/32.74 inference(unit_resolution,[status(thm)],[19953, 19945])).
% 50.27/32.74 tff(19955,plain,
% 50.27/32.74 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | v124(constB155, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | v124(constB155, bitIndex0))),
% 50.27/32.74 inference(rewrite,[status(thm)],[])).
% 50.27/32.74 tff(19956,plain,
% 50.27/32.74 ((v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | v124(constB155, bitIndex0)) <=> (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | v124(constB155, bitIndex0))),
% 50.27/32.74 inference(rewrite,[status(thm)],[])).
% 50.27/32.74 tff(19957,plain,
% 50.27/32.74 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | v124(constB155, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | v124(constB155, bitIndex0)))),
% 50.27/32.74 inference(monotonicity,[status(thm)],[19956])).
% 50.27/32.74 tff(19958,plain,
% 50.27/32.74 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | v124(constB155, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | v124(constB155, bitIndex0))),
% 50.27/32.74 inference(transitivity,[status(thm)],[19957, 19955])).
% 50.27/32.74 tff(19959,plain,
% 50.27/32.74 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | v124(constB155, bitIndex0))),
% 50.27/32.74 inference(quant_inst,[status(thm)],[])).
% 50.27/32.74 tff(19960,plain,
% 50.27/32.74 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | v124(constB155, bitIndex0)),
% 50.27/32.74 inference(modus_ponens,[status(thm)],[19959, 19958])).
% 50.27/32.74 tff(19961,plain,
% 50.27/32.74 (v124(constB155, bitIndex0)),
% 50.27/32.74 inference(unit_resolution,[status(thm)],[19960, 1374, 19865, 19861, 19857, 19853, 19849, 19845])).
% 50.27/32.74 tff(19962,plain,
% 50.27/32.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB155) | (~v124(constB155, bitIndex0)) | v121(constB155, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB155) | (~v124(constB155, bitIndex0)) | v121(constB155, bitIndex0))),
% 50.27/32.74 inference(rewrite,[status(thm)],[])).
% 50.27/32.74 tff(19963,plain,
% 50.27/32.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB155) | (~v124(constB155, bitIndex0)) | v121(constB155, bitIndex0))),
% 50.27/32.74 inference(quant_inst,[status(thm)],[])).
% 50.27/32.74 tff(19964,plain,
% 50.27/32.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB155) | (~v124(constB155, bitIndex0)) | v121(constB155, bitIndex0)),
% 50.27/32.74 inference(modus_ponens,[status(thm)],[19963, 19962])).
% 50.27/32.74 tff(19965,plain,
% 50.27/32.74 ((~v124(constB155, bitIndex0)) | v121(constB155, bitIndex0)),
% 50.27/32.74 inference(unit_resolution,[status(thm)],[19964, 1391, 19792])).
% 50.27/32.74 tff(19966,plain,
% 50.27/32.74 (v121(constB155, bitIndex0)),
% 50.27/32.74 inference(unit_resolution,[status(thm)],[19965, 19961])).
% 50.27/32.74 tff(19967,plain,
% 50.27/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v121(constB155, bitIndex0)) | v123(constB156, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB155, constB156)) | (~v121(constB155, bitIndex0)) | v123(constB156, bitIndex0))),
% 50.27/32.74 inference(rewrite,[status(thm)],[])).
% 50.27/32.74 tff(19968,plain,
% 50.27/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v121(constB155, bitIndex0)) | v123(constB156, bitIndex0))),
% 50.27/32.74 inference(quant_inst,[status(thm)],[])).
% 50.27/32.74 tff(19969,plain,
% 50.27/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB155, constB156)) | (~v121(constB155, bitIndex0)) | v123(constB156, bitIndex0)),
% 50.27/32.74 inference(modus_ponens,[status(thm)],[19968, 19967])).
% 50.27/32.74 tff(19970,plain,
% 50.27/32.74 ((~v121(constB155, bitIndex0)) | v123(constB156, bitIndex0)),
% 50.27/32.74 inference(unit_resolution,[status(thm)],[19969, 1406, 19807])).
% 50.27/32.74 tff(19971,plain,
% 50.27/32.74 (v123(constB156, bitIndex0)),
% 50.27/32.74 inference(unit_resolution,[status(thm)],[19970, 19966])).
% 50.27/32.74 tff(19972,plain,
% 50.27/32.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~v123(constB156, bitIndex0)) | (~v94(constB156)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB156, bitIndex0) | (~v123(constB156, bitIndex0)) | (~v94(constB156)))),
% 50.27/32.74 inference(rewrite,[status(thm)],[])).
% 50.27/32.74 tff(19973,plain,
% 50.27/32.74 ((v84(constB156, bitIndex0) | (~v94(constB156)) | (~v123(constB156, bitIndex0))) <=> (v84(constB156, bitIndex0) | (~v123(constB156, bitIndex0)) | (~v94(constB156)))),
% 50.27/32.74 inference(rewrite,[status(thm)],[])).
% 50.27/32.74 tff(19974,plain,
% 50.27/32.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~v94(constB156)) | (~v123(constB156, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~v123(constB156, bitIndex0)) | (~v94(constB156))))),
% 50.27/32.74 inference(monotonicity,[status(thm)],[19973])).
% 50.27/32.74 tff(19975,plain,
% 50.27/32.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~v94(constB156)) | (~v123(constB156, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB156, bitIndex0) | (~v123(constB156, bitIndex0)) | (~v94(constB156)))),
% 50.27/32.74 inference(transitivity,[status(thm)],[19974, 19972])).
% 50.27/32.74 tff(19976,plain,
% 50.27/32.74 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~v94(constB156)) | (~v123(constB156, bitIndex0)))),
% 50.27/32.74 inference(quant_inst,[status(thm)],[])).
% 50.27/32.74 tff(19977,plain,
% 50.27/32.74 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB156, bitIndex0) | (~v123(constB156, bitIndex0)) | (~v94(constB156))),
% 50.27/32.74 inference(modus_ponens,[status(thm)],[19976, 19975])).
% 50.27/32.74 tff(19978,plain,
% 50.27/32.74 (v84(constB156, bitIndex0) | (~v94(constB156))),
% 50.27/32.74 inference(unit_resolution,[status(thm)],[19977, 1421, 19971])).
% 50.27/32.74 tff(19979,plain,
% 50.27/32.74 (v84(constB156, bitIndex0)),
% 50.27/32.74 inference(unit_resolution,[status(thm)],[19978, 19841])).
% 50.27/32.74 tff(19980,plain,
% 50.27/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex0))),
% 50.27/32.74 inference(rewrite,[status(thm)],[])).
% 50.27/32.74 tff(19981,plain,
% 50.27/32.74 (((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex0)) | v94(constB157) | v84(constB157, bitIndex0)) <=> ((~v84(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex0))),
% 50.27/32.74 inference(rewrite,[status(thm)],[])).
% 50.27/32.74 tff(19982,plain,
% 50.27/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex0)) | v94(constB157) | v84(constB157, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex0)))),
% 50.27/32.75 inference(monotonicity,[status(thm)],[19981])).
% 50.27/32.75 tff(19983,plain,
% 50.27/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex0)) | v94(constB157) | v84(constB157, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex0))),
% 50.27/32.75 inference(transitivity,[status(thm)],[19982, 19980])).
% 50.27/32.75 tff(19984,plain,
% 50.27/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex0)) | v94(constB157) | v84(constB157, bitIndex0))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(19985,plain,
% 50.27/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex0)),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[19984, 19983])).
% 50.27/32.75 tff(19986,plain,
% 50.27/32.75 ((~v84(constB156, bitIndex0)) | v94(constB157) | v84(constB157, bitIndex0)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[19985, 1439, 19896])).
% 50.27/32.75 tff(19987,plain,
% 50.27/32.75 ((~v84(constB156, bitIndex0)) | v84(constB157, bitIndex0)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[19986, 19908])).
% 50.27/32.75 tff(19988,plain,
% 50.27/32.75 (v84(constB157, bitIndex0)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[19987, 19979])).
% 50.27/32.75 tff(19989,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB157, bitIndex0)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2) | v145(constB157))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB157, bitIndex0)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2) | v145(constB157))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(19990,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB157, bitIndex0)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2) | v145(constB157))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(19991,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB157, bitIndex0)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2) | v145(constB157)),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[19990, 19989])).
% 50.27/32.75 tff(19992,plain,
% 50.27/32.75 (v145(constB157)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[19991, 1268, 19988, 19954, 19917])).
% 50.27/32.75 tff(19993,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB157) | (~v145(constB157)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB157) | (~v145(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(19994,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB157) | (~v145(constB157)))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(19995,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB157) | (~v145(constB157))),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[19994, 19993])).
% 50.27/32.75 tff(19996,plain,
% 50.27/32.75 (v112(constB157)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[19995, 1253, 19992])).
% 50.27/32.75 tff(19997,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB157) | (~v112(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(19998,plain,
% 50.27/32.75 (((~v112(constB157)) | v111(constB157)) <=> (v111(constB157) | (~v112(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(19999,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB157)) | v111(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB157) | (~v112(constB157))))),
% 50.27/32.75 inference(monotonicity,[status(thm)],[19998])).
% 50.27/32.75 tff(20000,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB157)) | v111(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB157) | (~v112(constB157)))),
% 50.27/32.75 inference(transitivity,[status(thm)],[19999, 19997])).
% 50.27/32.75 tff(20001,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB157)) | v111(constB157))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(20002,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB157) | (~v112(constB157))),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[20001, 20000])).
% 50.27/32.75 tff(20003,plain,
% 50.27/32.75 (v111(constB157)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[20002, 278, 19996])).
% 50.27/32.75 tff(20004,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB157) | (~v111(constB157)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB157) | (~v111(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20005,plain,
% 50.27/32.75 (((~v111(constB157)) | v110(constB157)) <=> (v110(constB157) | (~v111(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20006,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB157)) | v110(constB157))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB157) | (~v111(constB157))))),
% 50.27/32.75 inference(monotonicity,[status(thm)],[20005])).
% 50.27/32.75 tff(20007,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB157)) | v110(constB157))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB157) | (~v111(constB157)))),
% 50.27/32.75 inference(transitivity,[status(thm)],[20006, 20004])).
% 50.27/32.75 tff(20008,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB157)) | v110(constB157))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(20009,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB157) | (~v111(constB157))),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 50.27/32.75 tff(20010,plain,
% 50.27/32.75 (v110(constB157)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[20009, 292, 20003])).
% 50.27/32.75 tff(20011,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB157)) | v109(constB157))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB157)) | v109(constB157))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20012,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB157)) | v109(constB157))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(20013,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB157)) | v109(constB157)),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[20012, 20011])).
% 50.27/32.75 tff(20014,plain,
% 50.27/32.75 (v109(constB157)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[20013, 306, 20010])).
% 50.27/32.75 tff(20015,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v109(constB157)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v109(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20016,plain,
% 50.27/32.75 (((~v109(constB157)) | v108(constB157)) <=> (v108(constB157) | (~v109(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20017,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v109(constB157))))),
% 50.27/32.75 inference(monotonicity,[status(thm)],[20016])).
% 50.27/32.75 tff(20018,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v109(constB157)))),
% 50.27/32.75 inference(transitivity,[status(thm)],[20017, 20015])).
% 50.27/32.75 tff(20019,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB157)) | v108(constB157))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(20020,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v109(constB157))),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[20019, 20018])).
% 50.27/32.75 tff(20021,plain,
% 50.27/32.75 (v108(constB157)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[20020, 320, 20014])).
% 50.27/32.75 tff(20022,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB157) | (~v108(constB157)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB157) | (~v108(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20023,plain,
% 50.27/32.75 (((~v108(constB157)) | v107(constB157)) <=> (v107(constB157) | (~v108(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20024,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB157)) | v107(constB157))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB157) | (~v108(constB157))))),
% 50.27/32.75 inference(monotonicity,[status(thm)],[20023])).
% 50.27/32.75 tff(20025,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB157)) | v107(constB157))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB157) | (~v108(constB157)))),
% 50.27/32.75 inference(transitivity,[status(thm)],[20024, 20022])).
% 50.27/32.75 tff(20026,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB157)) | v107(constB157))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(20027,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB157) | (~v108(constB157))),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[20026, 20025])).
% 50.27/32.75 tff(20028,plain,
% 50.27/32.75 (v107(constB157)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[20027, 334, 20021])).
% 50.27/32.75 tff(20029,assumption,(v26(constB157)), introduced(assumption)).
% 50.27/32.75 tff(20030,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB157))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(20031,plain,
% 50.27/32.75 ($false),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[20030, 55, 20029])).
% 50.27/32.75 tff(20032,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 50.27/32.75 tff(20033,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | (~v107(constB157)) | v106(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB157) | (~v107(constB157)) | v106(constB157))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20034,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | (~v107(constB157)) | v106(constB157))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(20035,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB157) | (~v107(constB157)) | v106(constB157)),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[20034, 20033])).
% 50.27/32.75 tff(20036,plain,
% 50.27/32.75 ((~v107(constB157)) | v106(constB157)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[20035, 348, 20032])).
% 50.27/32.75 tff(20037,plain,
% 50.27/32.75 (v106(constB157)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[20036, 20028])).
% 50.27/32.75 tff(20038,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB157) | (~v106(constB157)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB157) | (~v106(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20039,plain,
% 50.27/32.75 (((~v106(constB157)) | v102(constB157)) <=> (v102(constB157) | (~v106(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20040,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB157)) | v102(constB157))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB157) | (~v106(constB157))))),
% 50.27/32.75 inference(monotonicity,[status(thm)],[20039])).
% 50.27/32.75 tff(20041,plain,
% 50.27/32.75 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB157)) | v102(constB157))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB157) | (~v106(constB157)))),
% 50.27/32.75 inference(transitivity,[status(thm)],[20040, 20038])).
% 50.27/32.75 tff(20042,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB157)) | v102(constB157))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(20043,plain,
% 50.27/32.75 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB157) | (~v106(constB157))),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[20042, 20041])).
% 50.27/32.75 tff(20044,plain,
% 50.27/32.75 (v102(constB157)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[20043, 504, 20037])).
% 50.27/32.75 tff(20045,plain,
% 50.27/32.75 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20046,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 50.27/32.75 tff(20047,plain,
% 50.27/32.75 (nextState(constB157, constB158)),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[20046, 20045])).
% 50.27/32.75 tff(20048,plain,
% 50.27/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20049,plain,
% 50.27/32.75 (((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158)) <=> ((~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20050,plain,
% 50.27/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157))))),
% 50.27/32.75 inference(monotonicity,[status(thm)],[20049])).
% 50.27/32.75 tff(20051,plain,
% 50.27/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))),
% 50.27/32.75 inference(transitivity,[status(thm)],[20050, 20048])).
% 50.27/32.75 tff(20052,plain,
% 50.27/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(20053,plain,
% 50.27/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157))),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[20052, 20051])).
% 50.27/32.75 tff(20054,plain,
% 50.27/32.75 (v104(constB158) | (~v102(constB157))),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[20053, 489, 20047])).
% 50.27/32.75 tff(20055,plain,
% 50.27/32.75 (v104(constB158)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[20054, 20044])).
% 50.27/32.75 tff(20056,plain,
% 50.27/32.75 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158)))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20057,plain,
% 50.27/32.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158)))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(20058,plain,
% 50.27/32.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158))),
% 50.27/32.75 inference(modus_ponens,[status(thm)],[20057, 20056])).
% 50.27/32.75 tff(20059,plain,
% 50.27/32.75 (~v98(constB158)),
% 50.27/32.75 inference(unit_resolution,[status(thm)],[20058, 423, 20047, 19893])).
% 50.27/32.75 tff(20060,plain,
% 50.27/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB157, constB158)) | v96(constB158) | v98(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB157, constB158)) | v96(constB158) | v98(constB158))),
% 50.27/32.75 inference(rewrite,[status(thm)],[])).
% 50.27/32.75 tff(20061,plain,
% 50.27/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB157, constB158)) | v96(constB158) | v98(constB158))),
% 50.27/32.75 inference(quant_inst,[status(thm)],[])).
% 50.27/32.75 tff(20062,plain,
% 50.27/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB157, constB158)) | v96(constB158) | v98(constB158)),
% 50.27/32.76 inference(modus_ponens,[status(thm)],[20061, 20060])).
% 50.27/32.76 tff(20063,plain,
% 50.27/32.76 (v96(constB158) | v98(constB158)),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20062, 437, 20047])).
% 50.27/32.76 tff(20064,plain,
% 50.27/32.76 (v96(constB158)),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20063, 20059])).
% 50.27/32.76 tff(20065,plain,
% 50.27/32.76 (v1(constB158) <=> v1(constB158)),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20066,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 50.27/32.76 tff(20067,plain,
% 50.27/32.76 (v1(constB158)),
% 50.27/32.76 inference(modus_ponens,[status(thm)],[20066, 20065])).
% 50.27/32.76 tff(20068,plain,
% 50.27/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158)))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20069,plain,
% 50.27/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158)))),
% 50.27/32.76 inference(quant_inst,[status(thm)],[])).
% 50.27/32.76 tff(20070,plain,
% 50.27/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158))),
% 50.27/32.76 inference(modus_ponens,[status(thm)],[20069, 20068])).
% 50.27/32.76 tff(20071,plain,
% 50.27/32.76 (v95(constB158) | (~v96(constB158))),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20070, 455, 20047, 20067])).
% 50.27/32.76 tff(20072,plain,
% 50.27/32.76 (v95(constB158)),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20071, 20064])).
% 50.27/32.76 tff(20073,plain,
% 50.27/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20074,plain,
% 50.27/32.76 (((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158)) <=> ((~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20075,plain,
% 50.27/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158))))),
% 50.27/32.76 inference(monotonicity,[status(thm)],[20074])).
% 50.27/32.76 tff(20076,plain,
% 50.27/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))),
% 50.27/32.76 inference(transitivity,[status(thm)],[20075, 20073])).
% 50.27/32.76 tff(20077,plain,
% 50.27/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158))),
% 50.27/32.76 inference(quant_inst,[status(thm)],[])).
% 50.27/32.76 tff(20078,plain,
% 50.27/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158))),
% 50.27/32.76 inference(modus_ponens,[status(thm)],[20077, 20076])).
% 50.27/32.76 tff(20079,plain,
% 50.27/32.76 (v94(constB158) | (~v95(constB158)) | (~v104(constB158))),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20078, 470, 20047])).
% 50.27/32.76 tff(20080,plain,
% 50.27/32.76 (v94(constB158) | (~v104(constB158))),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20079, 20072])).
% 50.27/32.76 tff(20081,plain,
% 50.27/32.76 (v94(constB158)),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20080, 20055])).
% 50.27/32.76 tff(20082,plain,
% 50.27/32.76 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB157)) | (~v124(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB157)) | (~v124(constB157, bitIndex2)))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20083,plain,
% 50.27/32.76 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB157)) | (~v124(constB157, bitIndex2)))),
% 50.27/32.76 inference(quant_inst,[status(thm)],[])).
% 50.27/32.76 tff(20084,plain,
% 50.27/32.76 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB157)) | (~v124(constB157, bitIndex2))),
% 50.27/32.76 inference(modus_ponens,[status(thm)],[20083, 20082])).
% 50.27/32.76 tff(20085,plain,
% 50.27/32.76 (~v124(constB157, bitIndex2)),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20084, 1456, 19992])).
% 50.27/32.76 tff(20086,plain,
% 50.27/32.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20087,plain,
% 50.27/32.76 ((v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2))) <=> ((~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20088,plain,
% 50.27/32.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2)))),
% 50.27/32.76 inference(monotonicity,[status(thm)],[20087])).
% 50.27/32.76 tff(20089,plain,
% 50.27/32.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))),
% 50.27/32.76 inference(transitivity,[status(thm)],[20088, 20086])).
% 50.27/32.76 tff(20090,plain,
% 50.27/32.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2)))),
% 50.27/32.76 inference(quant_inst,[status(thm)],[])).
% 50.27/32.76 tff(20091,plain,
% 50.27/32.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2)),
% 50.27/32.76 inference(modus_ponens,[status(thm)],[20090, 20089])).
% 50.27/32.76 tff(20092,plain,
% 50.27/32.76 ((~v121(constB157, bitIndex2)) | v124(constB157, bitIndex2)),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20091, 1187, 20032])).
% 50.27/32.76 tff(20093,plain,
% 50.27/32.76 (~v121(constB157, bitIndex2)),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20092, 20085])).
% 50.27/32.76 tff(20094,plain,
% 50.27/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2)))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20095,plain,
% 50.27/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2)))),
% 50.27/32.76 inference(quant_inst,[status(thm)],[])).
% 50.27/32.76 tff(20096,plain,
% 50.27/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2))),
% 50.27/32.76 inference(modus_ponens,[status(thm)],[20095, 20094])).
% 50.27/32.76 tff(20097,plain,
% 50.27/32.76 (v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2))),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20096, 1205, 20047])).
% 50.27/32.76 tff(20098,plain,
% 50.27/32.76 (~v123(constB158, bitIndex2)),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20097, 20093])).
% 50.27/32.76 tff(20099,plain,
% 50.27/32.76 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20100,plain,
% 50.27/32.76 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))),
% 50.27/32.76 inference(quant_inst,[status(thm)],[])).
% 50.27/32.76 tff(20101,plain,
% 50.27/32.76 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158))),
% 50.27/32.76 inference(modus_ponens,[status(thm)],[20100, 20099])).
% 50.27/32.76 tff(20102,plain,
% 50.27/32.76 ((~v84(constB158, bitIndex2)) | (~v94(constB158))),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20101, 1220, 20098])).
% 50.27/32.76 tff(20103,plain,
% 50.27/32.76 (~v84(constB158, bitIndex2)),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20102, 20081])).
% 50.27/32.76 tff(20104,plain,
% 50.27/32.76 ((~v1(constB159)) <=> (~v1(constB159))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20105,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 50.27/32.76 tff(20106,plain,
% 50.27/32.76 (~v1(constB159)),
% 50.27/32.76 inference(modus_ponens,[status(thm)],[20105, 20104])).
% 50.27/32.76 tff(20107,plain,
% 50.27/32.76 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20108,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 50.27/32.76 tff(20109,plain,
% 50.27/32.76 (nextState(constB158, constB159)),
% 50.27/32.76 inference(modus_ponens,[status(thm)],[20108, 20107])).
% 50.27/32.76 tff(20110,plain,
% 50.27/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20111,plain,
% 50.27/32.76 (((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20112,plain,
% 50.27/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159))))),
% 50.27/32.76 inference(monotonicity,[status(thm)],[20111])).
% 50.27/32.76 tff(20113,plain,
% 50.27/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))),
% 50.27/32.76 inference(transitivity,[status(thm)],[20112, 20110])).
% 50.27/32.76 tff(20114,plain,
% 50.27/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159))),
% 50.27/32.76 inference(quant_inst,[status(thm)],[])).
% 50.27/32.76 tff(20115,plain,
% 50.27/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159))),
% 50.27/32.76 inference(modus_ponens,[status(thm)],[20114, 20113])).
% 50.27/32.76 tff(20116,plain,
% 50.27/32.76 (~v95(constB159)),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20115, 110, 20109, 20106])).
% 50.27/32.76 tff(20117,plain,
% 50.27/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159)))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20118,plain,
% 50.27/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159)))),
% 50.27/32.76 inference(quant_inst,[status(thm)],[])).
% 50.27/32.76 tff(20119,plain,
% 50.27/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159))),
% 50.27/32.76 inference(modus_ponens,[status(thm)],[20118, 20117])).
% 50.27/32.76 tff(20120,plain,
% 50.27/32.76 (v95(constB159) | (~v94(constB159))),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20119, 127, 20109])).
% 50.27/32.76 tff(20121,plain,
% 50.27/32.76 (~v94(constB159)),
% 50.27/32.76 inference(unit_resolution,[status(thm)],[20120, 20116])).
% 50.27/32.76 tff(20122,plain,
% 50.27/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20123,plain,
% 50.27/32.76 (((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2))) <=> (v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 50.27/32.76 inference(rewrite,[status(thm)],[])).
% 50.27/32.76 tff(20124,plain,
% 50.27/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2))))),
% 50.27/32.76 inference(monotonicity,[status(thm)],[20123])).
% 50.27/32.76 tff(20125,plain,
% 50.27/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 50.27/32.77 inference(transitivity,[status(thm)],[20124, 20122])).
% 50.27/32.77 tff(20126,plain,
% 50.27/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 50.27/32.77 inference(quant_inst,[status(thm)],[])).
% 50.27/32.77 tff(20127,plain,
% 50.27/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2))),
% 50.27/32.77 inference(modus_ponens,[status(thm)],[20126, 20125])).
% 50.27/32.77 tff(20128,plain,
% 50.27/32.77 (v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2))),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20127, 142, 20109])).
% 50.27/32.77 tff(20129,plain,
% 50.27/32.77 (v84(constB158, bitIndex2) | (~v84(constB159, bitIndex2))),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20128, 20121])).
% 50.27/32.77 tff(20130,plain,
% 50.27/32.77 (~v84(constB159, bitIndex2)),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20129, 20103])).
% 50.27/32.77 tff(20131,plain,
% 50.27/32.77 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB157)) | v124(constB157, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB157)) | v124(constB157, bitIndex1))),
% 50.27/32.77 inference(rewrite,[status(thm)],[])).
% 50.27/32.77 tff(20132,plain,
% 50.27/32.77 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB157)) | v124(constB157, bitIndex1))),
% 50.27/32.77 inference(quant_inst,[status(thm)],[])).
% 50.27/32.77 tff(20133,plain,
% 50.27/32.77 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB157)) | v124(constB157, bitIndex1)),
% 50.27/32.77 inference(modus_ponens,[status(thm)],[20132, 20131])).
% 50.27/32.77 tff(20134,plain,
% 50.27/32.77 (v124(constB157, bitIndex1)),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20133, 1512, 19992])).
% 50.27/32.77 tff(20135,plain,
% 50.27/32.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB157) | (~v124(constB157, bitIndex1)) | v121(constB157, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB157) | (~v124(constB157, bitIndex1)) | v121(constB157, bitIndex1))),
% 50.27/32.77 inference(rewrite,[status(thm)],[])).
% 50.27/32.77 tff(20136,plain,
% 50.27/32.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB157) | (~v124(constB157, bitIndex1)) | v121(constB157, bitIndex1))),
% 50.27/32.77 inference(quant_inst,[status(thm)],[])).
% 50.27/32.77 tff(20137,plain,
% 50.27/32.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB157) | (~v124(constB157, bitIndex1)) | v121(constB157, bitIndex1)),
% 50.27/32.77 inference(modus_ponens,[status(thm)],[20136, 20135])).
% 50.27/32.77 tff(20138,plain,
% 50.27/32.77 ((~v124(constB157, bitIndex1)) | v121(constB157, bitIndex1)),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20137, 857, 20032])).
% 50.27/32.77 tff(20139,plain,
% 50.27/32.77 (v121(constB157, bitIndex1)),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20138, 20134])).
% 50.27/32.77 tff(20140,plain,
% 50.27/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB157, constB158)) | (~v121(constB157, bitIndex1)) | v123(constB158, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB157, constB158)) | (~v121(constB157, bitIndex1)) | v123(constB158, bitIndex1))),
% 50.27/32.77 inference(rewrite,[status(thm)],[])).
% 50.27/32.77 tff(20141,plain,
% 50.27/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB157, constB158)) | (~v121(constB157, bitIndex1)) | v123(constB158, bitIndex1))),
% 50.27/32.77 inference(quant_inst,[status(thm)],[])).
% 50.27/32.77 tff(20142,plain,
% 50.27/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB157, constB158)) | (~v121(constB157, bitIndex1)) | v123(constB158, bitIndex1)),
% 50.27/32.77 inference(modus_ponens,[status(thm)],[20141, 20140])).
% 50.27/32.77 tff(20143,plain,
% 50.27/32.77 ((~v121(constB157, bitIndex1)) | v123(constB158, bitIndex1)),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20142, 872, 20047])).
% 50.27/32.77 tff(20144,plain,
% 50.27/32.77 (v123(constB158, bitIndex1)),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20143, 20139])).
% 50.27/32.77 tff(20145,plain,
% 50.27/32.77 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~v123(constB158, bitIndex1)) | (~v94(constB158)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB158, bitIndex1) | (~v123(constB158, bitIndex1)) | (~v94(constB158)))),
% 50.27/32.77 inference(rewrite,[status(thm)],[])).
% 50.27/32.77 tff(20146,plain,
% 50.27/32.77 ((v84(constB158, bitIndex1) | (~v94(constB158)) | (~v123(constB158, bitIndex1))) <=> (v84(constB158, bitIndex1) | (~v123(constB158, bitIndex1)) | (~v94(constB158)))),
% 50.27/32.77 inference(rewrite,[status(thm)],[])).
% 50.27/32.77 tff(20147,plain,
% 50.27/32.77 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~v94(constB158)) | (~v123(constB158, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~v123(constB158, bitIndex1)) | (~v94(constB158))))),
% 50.27/32.77 inference(monotonicity,[status(thm)],[20146])).
% 50.27/32.77 tff(20148,plain,
% 50.27/32.77 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~v94(constB158)) | (~v123(constB158, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB158, bitIndex1) | (~v123(constB158, bitIndex1)) | (~v94(constB158)))),
% 50.27/32.77 inference(transitivity,[status(thm)],[20147, 20145])).
% 50.27/32.77 tff(20149,plain,
% 50.27/32.77 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~v94(constB158)) | (~v123(constB158, bitIndex1)))),
% 50.27/32.77 inference(quant_inst,[status(thm)],[])).
% 50.27/32.77 tff(20150,plain,
% 50.27/32.77 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB158, bitIndex1) | (~v123(constB158, bitIndex1)) | (~v94(constB158))),
% 50.27/32.77 inference(modus_ponens,[status(thm)],[20149, 20148])).
% 50.27/32.77 tff(20151,plain,
% 50.27/32.77 (v84(constB158, bitIndex1) | (~v94(constB158))),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20150, 887, 20144])).
% 50.27/32.77 tff(20152,plain,
% 50.27/32.77 (v84(constB158, bitIndex1)),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20151, 20081])).
% 50.27/32.77 tff(20153,plain,
% 50.27/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex1))),
% 50.27/32.77 inference(rewrite,[status(thm)],[])).
% 50.27/32.77 tff(20154,plain,
% 50.27/32.77 (((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex1)) | v94(constB159) | v84(constB159, bitIndex1)) <=> ((~v84(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex1))),
% 50.27/32.77 inference(rewrite,[status(thm)],[])).
% 50.27/32.77 tff(20155,plain,
% 50.27/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex1)) | v94(constB159) | v84(constB159, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex1)))),
% 50.27/32.77 inference(monotonicity,[status(thm)],[20154])).
% 50.27/32.77 tff(20156,plain,
% 50.27/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex1)) | v94(constB159) | v84(constB159, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex1))),
% 50.27/32.77 inference(transitivity,[status(thm)],[20155, 20153])).
% 50.27/32.77 tff(20157,plain,
% 50.27/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex1)) | v94(constB159) | v84(constB159, bitIndex1))),
% 50.27/32.77 inference(quant_inst,[status(thm)],[])).
% 50.27/32.77 tff(20158,plain,
% 50.27/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex1)),
% 50.27/32.77 inference(modus_ponens,[status(thm)],[20157, 20156])).
% 50.27/32.77 tff(20159,plain,
% 50.27/32.77 ((~v84(constB158, bitIndex1)) | v94(constB159) | v84(constB159, bitIndex1)),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20158, 905, 20109])).
% 50.27/32.77 tff(20160,plain,
% 50.27/32.77 ((~v84(constB158, bitIndex1)) | v84(constB159, bitIndex1)),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20159, 20121])).
% 50.27/32.77 tff(20161,plain,
% 50.27/32.77 (v84(constB159, bitIndex1)),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20160, 20152])).
% 50.27/32.77 tff(20162,plain,
% 50.27/32.77 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB157)) | (~v124(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB157)) | (~v124(constB157, bitIndex0)))),
% 50.27/32.77 inference(rewrite,[status(thm)],[])).
% 50.27/32.77 tff(20163,plain,
% 50.27/32.77 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB157)) | (~v124(constB157, bitIndex0)))),
% 50.27/32.77 inference(quant_inst,[status(thm)],[])).
% 50.27/32.77 tff(20164,plain,
% 50.27/32.77 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB157)) | (~v124(constB157, bitIndex0))),
% 50.27/32.77 inference(modus_ponens,[status(thm)],[20163, 20162])).
% 50.27/32.77 tff(20165,plain,
% 50.27/32.77 (~v124(constB157, bitIndex0)),
% 50.27/32.77 inference(unit_resolution,[status(thm)],[20164, 1550, 19992])).
% 50.27/32.77 tff(20166,plain,
% 50.27/32.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB157, bitIndex0)) | v26(constB157) | v124(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB157, bitIndex0)) | v26(constB157) | v124(constB157, bitIndex0))),
% 50.27/32.77 inference(rewrite,[status(thm)],[])).
% 50.27/32.77 tff(20167,plain,
% 50.27/32.77 ((v26(constB157) | v124(constB157, bitIndex0) | (~v121(constB157, bitIndex0))) <=> ((~v121(constB157, bitIndex0)) | v26(constB157) | v124(constB157, bitIndex0))),
% 50.27/32.77 inference(rewrite,[status(thm)],[])).
% 50.31/32.77 tff(20168,plain,
% 50.31/32.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB157) | v124(constB157, bitIndex0) | (~v121(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB157, bitIndex0)) | v26(constB157) | v124(constB157, bitIndex0)))),
% 50.31/32.77 inference(monotonicity,[status(thm)],[20167])).
% 50.31/32.77 tff(20169,plain,
% 50.31/32.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB157) | v124(constB157, bitIndex0) | (~v121(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB157, bitIndex0)) | v26(constB157) | v124(constB157, bitIndex0))),
% 50.31/32.77 inference(transitivity,[status(thm)],[20168, 20166])).
% 50.31/32.77 tff(20170,plain,
% 50.31/32.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB157) | v124(constB157, bitIndex0) | (~v121(constB157, bitIndex0)))),
% 50.31/32.77 inference(quant_inst,[status(thm)],[])).
% 50.31/32.77 tff(20171,plain,
% 50.31/32.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB157, bitIndex0)) | v26(constB157) | v124(constB157, bitIndex0)),
% 50.31/32.77 inference(modus_ponens,[status(thm)],[20170, 20169])).
% 50.31/32.77 tff(20172,plain,
% 50.31/32.77 ((~v121(constB157, bitIndex0)) | v124(constB157, bitIndex0)),
% 50.31/32.77 inference(unit_resolution,[status(thm)],[20171, 607, 20032])).
% 50.31/32.77 tff(20173,plain,
% 50.31/32.77 (~v121(constB157, bitIndex0)),
% 50.31/32.77 inference(unit_resolution,[status(thm)],[20172, 20165])).
% 50.31/32.77 tff(20174,plain,
% 50.31/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex0) | (~v123(constB158, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex0) | (~v123(constB158, bitIndex0)))),
% 50.31/32.77 inference(rewrite,[status(thm)],[])).
% 50.31/32.77 tff(20175,plain,
% 50.31/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex0) | (~v123(constB158, bitIndex0)))),
% 50.31/32.77 inference(quant_inst,[status(thm)],[])).
% 50.31/32.77 tff(20176,plain,
% 50.31/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex0) | (~v123(constB158, bitIndex0))),
% 50.31/32.77 inference(modus_ponens,[status(thm)],[20175, 20174])).
% 50.31/32.77 tff(20177,plain,
% 50.31/32.77 (v121(constB157, bitIndex0) | (~v123(constB158, bitIndex0))),
% 50.31/32.77 inference(unit_resolution,[status(thm)],[20176, 637, 20047])).
% 50.31/32.77 tff(20178,plain,
% 50.31/32.77 (~v123(constB158, bitIndex0)),
% 50.31/32.77 inference(unit_resolution,[status(thm)],[20177, 20173])).
% 50.31/32.77 tff(20179,plain,
% 50.31/32.77 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | v123(constB158, bitIndex0) | (~v94(constB158)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB158, bitIndex0)) | v123(constB158, bitIndex0) | (~v94(constB158)))),
% 50.31/32.77 inference(rewrite,[status(thm)],[])).
% 50.31/32.77 tff(20180,plain,
% 50.31/32.77 (((~v84(constB158, bitIndex0)) | (~v94(constB158)) | v123(constB158, bitIndex0)) <=> ((~v84(constB158, bitIndex0)) | v123(constB158, bitIndex0) | (~v94(constB158)))),
% 50.31/32.77 inference(rewrite,[status(thm)],[])).
% 50.31/32.77 tff(20181,plain,
% 50.31/32.77 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | (~v94(constB158)) | v123(constB158, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | v123(constB158, bitIndex0) | (~v94(constB158))))),
% 50.31/32.78 inference(monotonicity,[status(thm)],[20180])).
% 50.31/32.78 tff(20182,plain,
% 50.31/32.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | (~v94(constB158)) | v123(constB158, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB158, bitIndex0)) | v123(constB158, bitIndex0) | (~v94(constB158)))),
% 50.31/32.78 inference(transitivity,[status(thm)],[20181, 20179])).
% 50.31/32.78 tff(20183,plain,
% 50.31/32.78 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | (~v94(constB158)) | v123(constB158, bitIndex0))),
% 50.31/32.78 inference(quant_inst,[status(thm)],[])).
% 50.31/32.78 tff(20184,plain,
% 50.31/32.78 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB158, bitIndex0)) | v123(constB158, bitIndex0) | (~v94(constB158))),
% 50.31/32.78 inference(modus_ponens,[status(thm)],[20183, 20182])).
% 50.31/32.78 tff(20185,plain,
% 50.31/32.78 ((~v84(constB158, bitIndex0)) | (~v94(constB158))),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20184, 652, 20178])).
% 50.31/32.78 tff(20186,plain,
% 50.31/32.78 (~v84(constB158, bitIndex0)),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20185, 20081])).
% 50.31/32.78 tff(20187,plain,
% 50.31/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex0)))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20188,plain,
% 50.31/32.78 (((~nextState(constB158, constB159)) | v84(constB158, bitIndex0) | v94(constB159) | (~v84(constB159, bitIndex0))) <=> (v84(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex0)))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20189,plain,
% 50.31/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex0) | v94(constB159) | (~v84(constB159, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex0))))),
% 50.31/32.78 inference(monotonicity,[status(thm)],[20188])).
% 50.31/32.78 tff(20190,plain,
% 50.31/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex0) | v94(constB159) | (~v84(constB159, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex0)))),
% 50.31/32.78 inference(transitivity,[status(thm)],[20189, 20187])).
% 50.31/32.78 tff(20191,plain,
% 50.31/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex0) | v94(constB159) | (~v84(constB159, bitIndex0)))),
% 50.31/32.78 inference(quant_inst,[status(thm)],[])).
% 50.31/32.78 tff(20192,plain,
% 50.31/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex0))),
% 50.31/32.78 inference(modus_ponens,[status(thm)],[20191, 20190])).
% 50.31/32.78 tff(20193,plain,
% 50.31/32.78 (v84(constB158, bitIndex0) | v94(constB159) | (~v84(constB159, bitIndex0))),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20192, 184, 20109])).
% 50.31/32.78 tff(20194,plain,
% 50.31/32.78 (v84(constB158, bitIndex0) | (~v84(constB159, bitIndex0))),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20193, 20121])).
% 50.31/32.78 tff(20195,plain,
% 50.31/32.78 (~v84(constB159, bitIndex0)),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20194, 20186])).
% 50.31/32.78 tff(20196,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | v84(constB159, bitIndex2) | v115(constB159))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | v84(constB159, bitIndex2) | v115(constB159))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20197,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | v84(constB159, bitIndex2) | v115(constB159))),
% 50.31/32.78 inference(quant_inst,[status(thm)],[])).
% 50.31/32.78 tff(20198,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | v84(constB159, bitIndex2) | v115(constB159)),
% 50.31/32.78 inference(modus_ponens,[status(thm)],[20197, 20196])).
% 50.31/32.78 tff(20199,plain,
% 50.31/32.78 (v115(constB159)),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20198, 1594, 20195, 20161, 20130])).
% 50.31/32.78 tff(20200,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB159)) | (~v124(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB159)) | (~v124(constB159, bitIndex2)))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20201,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB159)) | (~v124(constB159, bitIndex2)))),
% 50.31/32.78 inference(quant_inst,[status(thm)],[])).
% 50.31/32.78 tff(20202,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB159)) | (~v124(constB159, bitIndex2))),
% 50.31/32.78 inference(modus_ponens,[status(thm)],[20201, 20200])).
% 50.31/32.78 tff(20203,plain,
% 50.31/32.78 (~v124(constB159, bitIndex2)),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20202, 1690, 20199])).
% 50.31/32.78 tff(20204,assumption,(v26(constB159)), introduced(assumption)).
% 50.31/32.78 tff(20205,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB159))),
% 50.31/32.78 inference(quant_inst,[status(thm)],[])).
% 50.31/32.78 tff(20206,plain,
% 50.31/32.78 ($false),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20205, 55, 20204])).
% 50.31/32.78 tff(20207,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 50.31/32.78 tff(20208,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20209,plain,
% 50.31/32.78 ((v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2))) <=> ((~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20210,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2)))),
% 50.31/32.78 inference(monotonicity,[status(thm)],[20209])).
% 50.31/32.78 tff(20211,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))),
% 50.31/32.78 inference(transitivity,[status(thm)],[20210, 20208])).
% 50.31/32.78 tff(20212,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2)))),
% 50.31/32.78 inference(quant_inst,[status(thm)],[])).
% 50.31/32.78 tff(20213,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2)),
% 50.31/32.78 inference(modus_ponens,[status(thm)],[20212, 20211])).
% 50.31/32.78 tff(20214,plain,
% 50.31/32.78 ((~v121(constB159, bitIndex2)) | v124(constB159, bitIndex2)),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20213, 1187, 20207])).
% 50.31/32.78 tff(20215,plain,
% 50.31/32.78 (~v121(constB159, bitIndex2)),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20214, 20203])).
% 50.31/32.78 tff(20216,plain,
% 50.31/32.78 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20217,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 50.31/32.78 tff(20218,plain,
% 50.31/32.78 (nextState(constB159, constB160)),
% 50.31/32.78 inference(modus_ponens,[status(thm)],[20217, 20216])).
% 50.31/32.78 tff(20219,plain,
% 50.31/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2)))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20220,plain,
% 50.31/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2)))),
% 50.31/32.78 inference(quant_inst,[status(thm)],[])).
% 50.31/32.78 tff(20221,plain,
% 50.31/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2))),
% 50.31/32.78 inference(modus_ponens,[status(thm)],[20220, 20219])).
% 50.31/32.78 tff(20222,plain,
% 50.31/32.78 (v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2))),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20221, 1205, 20218])).
% 50.31/32.78 tff(20223,plain,
% 50.31/32.78 (~v123(constB160, bitIndex2)),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20222, 20215])).
% 50.31/32.78 tff(20224,assumption,(~v84(constB159, bitIndex0)), introduced(assumption)).
% 50.31/32.78 tff(20225,assumption,(~v102(constB159)), introduced(assumption)).
% 50.31/32.78 tff(20226,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB159) | (~v106(constB159)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB159) | (~v106(constB159)))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20227,plain,
% 50.31/32.78 (((~v106(constB159)) | v102(constB159)) <=> (v102(constB159) | (~v106(constB159)))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20228,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB159)) | v102(constB159))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB159) | (~v106(constB159))))),
% 50.31/32.78 inference(monotonicity,[status(thm)],[20227])).
% 50.31/32.78 tff(20229,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB159)) | v102(constB159))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB159) | (~v106(constB159)))),
% 50.31/32.78 inference(transitivity,[status(thm)],[20228, 20226])).
% 50.31/32.78 tff(20230,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB159)) | v102(constB159))),
% 50.31/32.78 inference(quant_inst,[status(thm)],[])).
% 50.31/32.78 tff(20231,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB159) | (~v106(constB159))),
% 50.31/32.78 inference(modus_ponens,[status(thm)],[20230, 20229])).
% 50.31/32.78 tff(20232,plain,
% 50.31/32.78 (~v106(constB159)),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20231, 504, 20225])).
% 50.31/32.78 tff(20233,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB159) | (~v26(constB159)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB159) | (~v26(constB159)))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20234,plain,
% 50.31/32.78 (((~v26(constB159)) | v102(constB159)) <=> (v102(constB159) | (~v26(constB159)))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20235,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB159)) | v102(constB159))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB159) | (~v26(constB159))))),
% 50.31/32.78 inference(monotonicity,[status(thm)],[20234])).
% 50.31/32.78 tff(20236,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB159)) | v102(constB159))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB159) | (~v26(constB159)))),
% 50.31/32.78 inference(transitivity,[status(thm)],[20235, 20233])).
% 50.31/32.78 tff(20237,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB159)) | v102(constB159))),
% 50.31/32.78 inference(quant_inst,[status(thm)],[])).
% 50.31/32.78 tff(20238,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB159) | (~v26(constB159))),
% 50.31/32.78 inference(modus_ponens,[status(thm)],[20237, 20236])).
% 50.31/32.78 tff(20239,plain,
% 50.31/32.78 (~v26(constB159)),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20238, 723, 20225])).
% 50.31/32.78 tff(20240,assumption,(v107(constB159)), introduced(assumption)).
% 50.31/32.78 tff(20241,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | v106(constB159) | (~v107(constB159)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB159) | v106(constB159) | (~v107(constB159)))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20242,plain,
% 50.31/32.78 ((v26(constB159) | (~v107(constB159)) | v106(constB159)) <=> (v26(constB159) | v106(constB159) | (~v107(constB159)))),
% 50.31/32.78 inference(rewrite,[status(thm)],[])).
% 50.31/32.78 tff(20243,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | (~v107(constB159)) | v106(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | v106(constB159) | (~v107(constB159))))),
% 50.31/32.78 inference(monotonicity,[status(thm)],[20242])).
% 50.31/32.78 tff(20244,plain,
% 50.31/32.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | (~v107(constB159)) | v106(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB159) | v106(constB159) | (~v107(constB159)))),
% 50.31/32.78 inference(transitivity,[status(thm)],[20243, 20241])).
% 50.31/32.78 tff(20245,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | (~v107(constB159)) | v106(constB159))),
% 50.31/32.78 inference(quant_inst,[status(thm)],[])).
% 50.31/32.78 tff(20246,plain,
% 50.31/32.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB159) | v106(constB159) | (~v107(constB159))),
% 50.31/32.78 inference(modus_ponens,[status(thm)],[20245, 20244])).
% 50.31/32.78 tff(20247,plain,
% 50.31/32.78 (v26(constB159) | v106(constB159)),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20246, 348, 20240])).
% 50.31/32.78 tff(20248,plain,
% 50.31/32.78 ($false),
% 50.31/32.78 inference(unit_resolution,[status(thm)],[20247, 20239, 20232])).
% 50.31/32.78 tff(20249,plain,(v102(constB159) | (~v107(constB159))), inference(lemma,lemma(discharge,[]))).
% 50.31/32.79 tff(20250,plain,
% 50.31/32.79 (~v107(constB159)),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20249, 20225])).
% 50.31/32.79 tff(20251,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB159) | (~v119(constB159)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB159) | (~v119(constB159)))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20252,plain,
% 50.31/32.79 (((~v119(constB159)) | v107(constB159)) <=> (v107(constB159) | (~v119(constB159)))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20253,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB159)) | v107(constB159))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB159) | (~v119(constB159))))),
% 50.31/32.79 inference(monotonicity,[status(thm)],[20252])).
% 50.31/32.79 tff(20254,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB159)) | v107(constB159))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB159) | (~v119(constB159)))),
% 50.31/32.79 inference(transitivity,[status(thm)],[20253, 20251])).
% 50.31/32.79 tff(20255,plain,
% 50.31/32.79 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB159)) | v107(constB159))),
% 50.31/32.79 inference(quant_inst,[status(thm)],[])).
% 50.31/32.79 tff(20256,plain,
% 50.31/32.79 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB159) | (~v119(constB159))),
% 50.31/32.79 inference(modus_ponens,[status(thm)],[20255, 20254])).
% 50.31/32.79 tff(20257,plain,
% 50.31/32.79 (~v119(constB159)),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20256, 976, 20250])).
% 50.31/32.79 tff(20258,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB159) | (~v108(constB159)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB159) | (~v108(constB159)))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20259,plain,
% 50.31/32.79 (((~v108(constB159)) | v107(constB159)) <=> (v107(constB159) | (~v108(constB159)))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20260,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB159)) | v107(constB159))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB159) | (~v108(constB159))))),
% 50.31/32.79 inference(monotonicity,[status(thm)],[20259])).
% 50.31/32.79 tff(20261,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB159)) | v107(constB159))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB159) | (~v108(constB159)))),
% 50.31/32.79 inference(transitivity,[status(thm)],[20260, 20258])).
% 50.31/32.79 tff(20262,plain,
% 50.31/32.79 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB159)) | v107(constB159))),
% 50.31/32.79 inference(quant_inst,[status(thm)],[])).
% 50.31/32.79 tff(20263,plain,
% 50.31/32.79 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB159) | (~v108(constB159))),
% 50.31/32.79 inference(modus_ponens,[status(thm)],[20262, 20261])).
% 50.31/32.79 tff(20264,plain,
% 50.31/32.79 (~v108(constB159)),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20263, 334, 20250])).
% 50.31/32.79 tff(20265,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v109(constB159)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v109(constB159)))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20266,plain,
% 50.31/32.79 (((~v109(constB159)) | v108(constB159)) <=> (v108(constB159) | (~v109(constB159)))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20267,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v109(constB159))))),
% 50.31/32.79 inference(monotonicity,[status(thm)],[20266])).
% 50.31/32.79 tff(20268,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v109(constB159)))),
% 50.31/32.79 inference(transitivity,[status(thm)],[20267, 20265])).
% 50.31/32.79 tff(20269,plain,
% 50.31/32.79 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB159)) | v108(constB159))),
% 50.31/32.79 inference(quant_inst,[status(thm)],[])).
% 50.31/32.79 tff(20270,plain,
% 50.31/32.79 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v109(constB159))),
% 50.31/32.79 inference(modus_ponens,[status(thm)],[20269, 20268])).
% 50.31/32.79 tff(20271,plain,
% 50.31/32.79 (~v109(constB159)),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20270, 320, 20264])).
% 50.31/32.79 tff(20272,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB159) | (~v172(constB159)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB159) | (~v172(constB159)))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20273,plain,
% 50.31/32.79 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB159) | (~v172(constB159)))),
% 50.31/32.79 inference(quant_inst,[status(thm)],[])).
% 50.31/32.79 tff(20274,plain,
% 50.31/32.79 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB159) | (~v172(constB159))),
% 50.31/32.79 inference(modus_ponens,[status(thm)],[20273, 20272])).
% 50.31/32.79 tff(20275,plain,
% 50.31/32.79 (~v172(constB159)),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20274, 740, 20271])).
% 50.31/32.79 tff(20276,plain,
% 50.31/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB159, constB160)) | (~v104(constB160)) | v102(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB159, constB160)) | (~v104(constB160)) | v102(constB159))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20277,plain,
% 50.31/32.79 (((~nextState(constB159, constB160)) | v102(constB159) | (~v104(constB160))) <=> ((~nextState(constB159, constB160)) | (~v104(constB160)) | v102(constB159))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20278,plain,
% 50.31/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB159, constB160)) | v102(constB159) | (~v104(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB159, constB160)) | (~v104(constB160)) | v102(constB159)))),
% 50.31/32.79 inference(monotonicity,[status(thm)],[20277])).
% 50.31/32.79 tff(20279,plain,
% 50.31/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB159, constB160)) | v102(constB159) | (~v104(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB159, constB160)) | (~v104(constB160)) | v102(constB159))),
% 50.31/32.79 inference(transitivity,[status(thm)],[20278, 20276])).
% 50.31/32.79 tff(20280,plain,
% 50.31/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB159, constB160)) | v102(constB159) | (~v104(constB160)))),
% 50.31/32.79 inference(quant_inst,[status(thm)],[])).
% 50.31/32.79 tff(20281,plain,
% 50.31/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB159, constB160)) | (~v104(constB160)) | v102(constB159)),
% 50.31/32.79 inference(modus_ponens,[status(thm)],[20280, 20279])).
% 50.31/32.79 tff(20282,plain,
% 50.31/32.79 ((~v104(constB160)) | v102(constB159)),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20281, 3297, 20218])).
% 50.31/32.79 tff(20283,plain,
% 50.31/32.79 (~v104(constB160)),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20282, 20225])).
% 50.31/32.79 tff(20284,plain,
% 50.31/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB159, constB160)) | v104(constB160) | (~v94(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v94(constB160)))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20285,plain,
% 50.31/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB159, constB160)) | v104(constB160) | (~v94(constB160)))),
% 50.31/32.79 inference(quant_inst,[status(thm)],[])).
% 50.31/32.79 tff(20286,plain,
% 50.31/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v94(constB160))),
% 50.31/32.79 inference(modus_ponens,[status(thm)],[20285, 20284])).
% 50.31/32.79 tff(20287,plain,
% 50.31/32.79 (v104(constB160) | (~v94(constB160))),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20286, 3282, 20218])).
% 50.31/32.79 tff(20288,plain,
% 50.31/32.79 (~v94(constB160)),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20287, 20283])).
% 50.31/32.79 tff(20289,assumption,(~v84(constB160, bitIndex0)), introduced(assumption)).
% 50.31/32.79 tff(20290,plain,
% 50.31/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB159, bitIndex0)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB159, bitIndex0)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex0))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20291,plain,
% 50.31/32.79 (((~nextState(constB159, constB160)) | (~v84(constB159, bitIndex0)) | v94(constB160) | v84(constB160, bitIndex0)) <=> ((~v84(constB159, bitIndex0)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex0))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20292,plain,
% 50.31/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v84(constB159, bitIndex0)) | v94(constB160) | v84(constB160, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB159, bitIndex0)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex0)))),
% 50.31/32.79 inference(monotonicity,[status(thm)],[20291])).
% 50.31/32.79 tff(20293,plain,
% 50.31/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v84(constB159, bitIndex0)) | v94(constB160) | v84(constB160, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB159, bitIndex0)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex0))),
% 50.31/32.79 inference(transitivity,[status(thm)],[20292, 20290])).
% 50.31/32.79 tff(20294,plain,
% 50.31/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v84(constB159, bitIndex0)) | v94(constB160) | v84(constB160, bitIndex0))),
% 50.31/32.79 inference(quant_inst,[status(thm)],[])).
% 50.31/32.79 tff(20295,plain,
% 50.31/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB159, bitIndex0)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex0)),
% 50.31/32.79 inference(modus_ponens,[status(thm)],[20294, 20293])).
% 50.31/32.79 tff(20296,plain,
% 50.31/32.79 ((~v84(constB159, bitIndex0)) | v94(constB160) | v84(constB160, bitIndex0)),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20295, 1439, 20218])).
% 50.31/32.79 tff(20297,plain,
% 50.31/32.79 (~v84(constB159, bitIndex0)),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20296, 20289, 20288])).
% 50.31/32.79 tff(20298,assumption,(~v84(constB160, bitIndex2)), introduced(assumption)).
% 50.31/32.79 tff(20299,plain,
% 50.31/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB159, bitIndex2)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB159, bitIndex2)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex2))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20300,plain,
% 50.31/32.79 (((~nextState(constB159, constB160)) | (~v84(constB159, bitIndex2)) | v94(constB160) | v84(constB160, bitIndex2)) <=> ((~v84(constB159, bitIndex2)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex2))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20301,plain,
% 50.31/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB159, constB160)) | (~v84(constB159, bitIndex2)) | v94(constB160) | v84(constB160, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB159, bitIndex2)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex2)))),
% 50.31/32.79 inference(monotonicity,[status(thm)],[20300])).
% 50.31/32.79 tff(20302,plain,
% 50.31/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB159, constB160)) | (~v84(constB159, bitIndex2)) | v94(constB160) | v84(constB160, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB159, bitIndex2)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex2))),
% 50.31/32.79 inference(transitivity,[status(thm)],[20301, 20299])).
% 50.31/32.79 tff(20303,plain,
% 50.31/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB159, constB160)) | (~v84(constB159, bitIndex2)) | v94(constB160) | v84(constB160, bitIndex2))),
% 50.31/32.79 inference(quant_inst,[status(thm)],[])).
% 50.31/32.79 tff(20304,plain,
% 50.31/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB159, bitIndex2)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex2)),
% 50.31/32.79 inference(modus_ponens,[status(thm)],[20303, 20302])).
% 50.31/32.79 tff(20305,plain,
% 50.31/32.79 ((~v84(constB159, bitIndex2)) | v94(constB160) | v84(constB160, bitIndex2)),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20304, 576, 20218])).
% 50.31/32.79 tff(20306,plain,
% 50.31/32.79 (~v84(constB159, bitIndex2)),
% 50.31/32.79 inference(unit_resolution,[status(thm)],[20305, 20288, 20298])).
% 50.31/32.79 tff(20307,assumption,(~v84(constB160, bitIndex1)), introduced(assumption)).
% 50.31/32.79 tff(20308,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB159) | (~v110(constB159)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB159) | (~v110(constB159)))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20309,plain,
% 50.31/32.79 (((~v110(constB159)) | v109(constB159)) <=> (v109(constB159) | (~v110(constB159)))),
% 50.31/32.79 inference(rewrite,[status(thm)],[])).
% 50.31/32.79 tff(20310,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB159)) | v109(constB159))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB159) | (~v110(constB159))))),
% 50.31/32.79 inference(monotonicity,[status(thm)],[20309])).
% 50.31/32.79 tff(20311,plain,
% 50.31/32.79 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB159)) | v109(constB159))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB159) | (~v110(constB159)))),
% 50.31/32.80 inference(transitivity,[status(thm)],[20310, 20308])).
% 50.31/32.80 tff(20312,plain,
% 50.31/32.80 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB159)) | v109(constB159))),
% 50.31/32.80 inference(quant_inst,[status(thm)],[])).
% 50.31/32.80 tff(20313,plain,
% 50.31/32.80 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB159) | (~v110(constB159))),
% 50.31/32.80 inference(modus_ponens,[status(thm)],[20312, 20311])).
% 50.31/32.80 tff(20314,plain,
% 50.31/32.80 (~v110(constB159)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20313, 306, 20271])).
% 50.31/32.80 tff(20315,plain,
% 50.31/32.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB159, bitIndex1)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB159, bitIndex1)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex1))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20316,plain,
% 50.31/32.80 (((~nextState(constB159, constB160)) | (~v84(constB159, bitIndex1)) | v94(constB160) | v84(constB160, bitIndex1)) <=> ((~v84(constB159, bitIndex1)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex1))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20317,plain,
% 50.31/32.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v84(constB159, bitIndex1)) | v94(constB160) | v84(constB160, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB159, bitIndex1)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex1)))),
% 50.31/32.80 inference(monotonicity,[status(thm)],[20316])).
% 50.31/32.80 tff(20318,plain,
% 50.31/32.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v84(constB159, bitIndex1)) | v94(constB160) | v84(constB160, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB159, bitIndex1)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex1))),
% 50.31/32.80 inference(transitivity,[status(thm)],[20317, 20315])).
% 50.31/32.80 tff(20319,plain,
% 50.31/32.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v84(constB159, bitIndex1)) | v94(constB160) | v84(constB160, bitIndex1))),
% 50.31/32.80 inference(quant_inst,[status(thm)],[])).
% 50.31/32.80 tff(20320,plain,
% 50.31/32.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB159, bitIndex1)) | (~nextState(constB159, constB160)) | v94(constB160) | v84(constB160, bitIndex1)),
% 50.31/32.80 inference(modus_ponens,[status(thm)],[20319, 20318])).
% 50.31/32.80 tff(20321,plain,
% 50.31/32.80 ((~v84(constB159, bitIndex1)) | v94(constB160) | v84(constB160, bitIndex1)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20320, 905, 20218])).
% 50.31/32.80 tff(20322,plain,
% 50.31/32.80 (~v84(constB159, bitIndex1)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20321, 20288, 20307])).
% 50.31/32.80 tff(20323,plain,
% 50.31/32.80 (~v84(constB159, bitIndex0)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20296, 20288, 20289])).
% 50.31/32.80 tff(20324,plain,
% 50.31/32.80 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB159, bitIndex0) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v113(constB159))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB159, bitIndex0) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v113(constB159))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20325,plain,
% 50.31/32.80 ((v84(constB159, bitIndex0) | v113(constB159) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2)) <=> (v84(constB159, bitIndex0) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v113(constB159))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20326,plain,
% 50.31/32.80 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB159, bitIndex0) | v113(constB159) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB159, bitIndex0) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v113(constB159)))),
% 50.31/32.80 inference(monotonicity,[status(thm)],[20325])).
% 50.31/32.80 tff(20327,plain,
% 50.31/32.80 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB159, bitIndex0) | v113(constB159) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB159, bitIndex0) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v113(constB159))),
% 50.31/32.80 inference(transitivity,[status(thm)],[20326, 20324])).
% 50.31/32.80 tff(20328,plain,
% 50.31/32.80 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB159, bitIndex0) | v113(constB159) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2))),
% 50.31/32.80 inference(quant_inst,[status(thm)],[])).
% 50.31/32.80 tff(20329,plain,
% 50.31/32.80 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB159, bitIndex0) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v113(constB159)),
% 50.31/32.80 inference(modus_ponens,[status(thm)],[20328, 20327])).
% 50.31/32.80 tff(20330,plain,
% 50.31/32.80 (v113(constB159)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20329, 205, 20323, 20322, 20306])).
% 50.31/32.80 tff(20331,plain,
% 50.31/32.80 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB159) | (~v113(constB159)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB159) | (~v113(constB159)))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20332,plain,
% 50.31/32.80 (((~v113(constB159)) | v112(constB159)) <=> (v112(constB159) | (~v113(constB159)))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20333,plain,
% 50.31/32.80 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB159) | (~v113(constB159))))),
% 50.31/32.80 inference(monotonicity,[status(thm)],[20332])).
% 50.31/32.80 tff(20334,plain,
% 50.31/32.80 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB159) | (~v113(constB159)))),
% 50.31/32.80 inference(transitivity,[status(thm)],[20333, 20331])).
% 50.31/32.80 tff(20335,plain,
% 50.31/32.80 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB159)) | v112(constB159))),
% 50.31/32.80 inference(quant_inst,[status(thm)],[])).
% 50.31/32.80 tff(20336,plain,
% 50.31/32.80 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB159) | (~v113(constB159))),
% 50.31/32.80 inference(modus_ponens,[status(thm)],[20335, 20334])).
% 50.31/32.80 tff(20337,plain,
% 50.31/32.80 (v112(constB159)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20336, 267, 20330])).
% 50.31/32.80 tff(20338,plain,
% 50.31/32.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB159) | (~v112(constB159)))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20339,plain,
% 50.31/32.80 (((~v112(constB159)) | v111(constB159)) <=> (v111(constB159) | (~v112(constB159)))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20340,plain,
% 50.31/32.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB159)) | v111(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB159) | (~v112(constB159))))),
% 50.31/32.80 inference(monotonicity,[status(thm)],[20339])).
% 50.31/32.80 tff(20341,plain,
% 50.31/32.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB159)) | v111(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB159) | (~v112(constB159)))),
% 50.31/32.80 inference(transitivity,[status(thm)],[20340, 20338])).
% 50.31/32.80 tff(20342,plain,
% 50.31/32.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB159)) | v111(constB159))),
% 50.31/32.80 inference(quant_inst,[status(thm)],[])).
% 50.31/32.80 tff(20343,plain,
% 50.31/32.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB159) | (~v112(constB159))),
% 50.31/32.80 inference(modus_ponens,[status(thm)],[20342, 20341])).
% 50.31/32.80 tff(20344,plain,
% 50.31/32.80 (v111(constB159)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20343, 278, 20337])).
% 50.31/32.80 tff(20345,plain,
% 50.31/32.80 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB159) | (~v111(constB159)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB159) | (~v111(constB159)))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20346,plain,
% 50.31/32.80 (((~v111(constB159)) | v110(constB159)) <=> (v110(constB159) | (~v111(constB159)))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20347,plain,
% 50.31/32.80 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB159)) | v110(constB159))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB159) | (~v111(constB159))))),
% 50.31/32.80 inference(monotonicity,[status(thm)],[20346])).
% 50.31/32.80 tff(20348,plain,
% 50.31/32.80 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB159)) | v110(constB159))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB159) | (~v111(constB159)))),
% 50.31/32.80 inference(transitivity,[status(thm)],[20347, 20345])).
% 50.31/32.80 tff(20349,plain,
% 50.31/32.80 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB159)) | v110(constB159))),
% 50.31/32.80 inference(quant_inst,[status(thm)],[])).
% 50.31/32.80 tff(20350,plain,
% 50.31/32.80 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB159) | (~v111(constB159))),
% 50.31/32.80 inference(modus_ponens,[status(thm)],[20349, 20348])).
% 50.31/32.80 tff(20351,plain,
% 50.31/32.80 ($false),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20350, 292, 20344, 20314])).
% 50.31/32.80 tff(20352,plain,(v102(constB159) | v84(constB160, bitIndex1) | v84(constB160, bitIndex2) | v84(constB160, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.31/32.80 tff(20353,plain,
% 50.31/32.80 (v102(constB159)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20352, 20307, 20298, 20289])).
% 50.31/32.80 tff(20354,plain,
% 50.31/32.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20355,plain,
% 50.31/32.80 (((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160)) <=> ((~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20356,plain,
% 50.31/32.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159))))),
% 50.31/32.80 inference(monotonicity,[status(thm)],[20355])).
% 50.31/32.80 tff(20357,plain,
% 50.31/32.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))),
% 50.31/32.80 inference(transitivity,[status(thm)],[20356, 20354])).
% 50.31/32.80 tff(20358,plain,
% 50.31/32.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160))),
% 50.31/32.80 inference(quant_inst,[status(thm)],[])).
% 50.31/32.80 tff(20359,plain,
% 50.31/32.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159))),
% 50.31/32.80 inference(modus_ponens,[status(thm)],[20358, 20357])).
% 50.31/32.80 tff(20360,plain,
% 50.31/32.80 (v104(constB160) | (~v102(constB159))),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20359, 489, 20218])).
% 50.31/32.80 tff(20361,plain,
% 50.31/32.80 (v104(constB160)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20360, 20353])).
% 50.31/32.80 tff(20362,plain,
% 50.31/32.80 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160)))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20363,plain,
% 50.31/32.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160)))),
% 50.31/32.80 inference(quant_inst,[status(thm)],[])).
% 50.31/32.80 tff(20364,plain,
% 50.31/32.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160))),
% 50.31/32.80 inference(modus_ponens,[status(thm)],[20363, 20362])).
% 50.31/32.80 tff(20365,plain,
% 50.31/32.80 (~v98(constB160)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20364, 423, 20218, 20106])).
% 50.31/32.80 tff(20366,plain,
% 50.31/32.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB159, constB160)) | v96(constB160) | v98(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB159, constB160)) | v96(constB160) | v98(constB160))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20367,plain,
% 50.31/32.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB159, constB160)) | v96(constB160) | v98(constB160))),
% 50.31/32.80 inference(quant_inst,[status(thm)],[])).
% 50.31/32.80 tff(20368,plain,
% 50.31/32.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB159, constB160)) | v96(constB160) | v98(constB160)),
% 50.31/32.80 inference(modus_ponens,[status(thm)],[20367, 20366])).
% 50.31/32.80 tff(20369,plain,
% 50.31/32.80 (v96(constB160) | v98(constB160)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20368, 437, 20218])).
% 50.31/32.80 tff(20370,plain,
% 50.31/32.80 (v96(constB160)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20369, 20365])).
% 50.31/32.80 tff(20371,plain,
% 50.31/32.80 (v1(constB160) <=> v1(constB160)),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20372,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 50.31/32.80 tff(20373,plain,
% 50.31/32.80 (v1(constB160)),
% 50.31/32.80 inference(modus_ponens,[status(thm)],[20372, 20371])).
% 50.31/32.80 tff(20374,plain,
% 50.31/32.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160)))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20375,plain,
% 50.31/32.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160)))),
% 50.31/32.80 inference(quant_inst,[status(thm)],[])).
% 50.31/32.80 tff(20376,plain,
% 50.31/32.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160))),
% 50.31/32.80 inference(modus_ponens,[status(thm)],[20375, 20374])).
% 50.31/32.80 tff(20377,plain,
% 50.31/32.80 (v95(constB160) | (~v96(constB160))),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20376, 455, 20218, 20373])).
% 50.31/32.80 tff(20378,plain,
% 50.31/32.80 (v95(constB160)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20377, 20370])).
% 50.31/32.80 tff(20379,plain,
% 50.31/32.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20380,plain,
% 50.31/32.80 (((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160)) <=> ((~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))),
% 50.31/32.80 inference(rewrite,[status(thm)],[])).
% 50.31/32.80 tff(20381,plain,
% 50.31/32.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160))))),
% 50.31/32.80 inference(monotonicity,[status(thm)],[20380])).
% 50.31/32.80 tff(20382,plain,
% 50.31/32.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))),
% 50.31/32.80 inference(transitivity,[status(thm)],[20381, 20379])).
% 50.31/32.80 tff(20383,plain,
% 50.31/32.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160))),
% 50.31/32.80 inference(quant_inst,[status(thm)],[])).
% 50.31/32.80 tff(20384,plain,
% 50.31/32.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160))),
% 50.31/32.80 inference(modus_ponens,[status(thm)],[20383, 20382])).
% 50.31/32.80 tff(20385,plain,
% 50.31/32.80 (v94(constB160) | (~v95(constB160)) | (~v104(constB160))),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20384, 470, 20218])).
% 50.31/32.80 tff(20386,plain,
% 50.31/32.80 (v94(constB160) | (~v104(constB160))),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20385, 20378])).
% 50.31/32.80 tff(20387,plain,
% 50.31/32.80 (v94(constB160)),
% 50.31/32.80 inference(unit_resolution,[status(thm)],[20386, 20361])).
% 50.31/32.80 tff(20388,plain,
% 50.31/32.80 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~v123(constB160, bitIndex2)) | (~v94(constB160)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~v123(constB160, bitIndex2)) | (~v94(constB160)))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20389,plain,
% 50.31/32.81 ((v84(constB160, bitIndex2) | (~v94(constB160)) | (~v123(constB160, bitIndex2))) <=> (v84(constB160, bitIndex2) | (~v123(constB160, bitIndex2)) | (~v94(constB160)))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20390,plain,
% 50.31/32.81 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~v94(constB160)) | (~v123(constB160, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~v123(constB160, bitIndex2)) | (~v94(constB160))))),
% 50.31/32.81 inference(monotonicity,[status(thm)],[20389])).
% 50.31/32.81 tff(20391,plain,
% 50.31/32.81 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~v94(constB160)) | (~v123(constB160, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~v123(constB160, bitIndex2)) | (~v94(constB160)))),
% 50.31/32.81 inference(transitivity,[status(thm)],[20390, 20388])).
% 50.31/32.81 tff(20392,plain,
% 50.31/32.81 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~v94(constB160)) | (~v123(constB160, bitIndex2)))),
% 50.31/32.81 inference(quant_inst,[status(thm)],[])).
% 50.31/32.81 tff(20393,plain,
% 50.31/32.81 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~v123(constB160, bitIndex2)) | (~v94(constB160))),
% 50.31/32.81 inference(modus_ponens,[status(thm)],[20392, 20391])).
% 50.31/32.81 tff(20394,plain,
% 50.31/32.81 ((~v123(constB160, bitIndex2)) | (~v94(constB160))),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20393, 405, 20298])).
% 50.31/32.81 tff(20395,plain,
% 50.31/32.81 (~v123(constB160, bitIndex2)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20394, 20387])).
% 50.31/32.81 tff(20396,plain,
% 50.31/32.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex2)) | v123(constB160, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex2)) | v123(constB160, bitIndex2))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20397,plain,
% 50.31/32.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex2)) | v123(constB160, bitIndex2))),
% 50.31/32.81 inference(quant_inst,[status(thm)],[])).
% 50.31/32.81 tff(20398,plain,
% 50.31/32.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex2)) | v123(constB160, bitIndex2)),
% 50.31/32.81 inference(modus_ponens,[status(thm)],[20397, 20396])).
% 50.31/32.81 tff(20399,plain,
% 50.31/32.81 ((~v121(constB159, bitIndex2)) | v123(constB160, bitIndex2)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20398, 389, 20218])).
% 50.31/32.81 tff(20400,plain,
% 50.31/32.81 (~v121(constB159, bitIndex2)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20399, 20395])).
% 50.31/32.81 tff(20401,plain,
% 50.31/32.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB159) | (~v124(constB159, bitIndex2)) | v121(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB159) | (~v124(constB159, bitIndex2)) | v121(constB159, bitIndex2))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20402,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB159) | (~v124(constB159, bitIndex2)) | v121(constB159, bitIndex2))),
% 50.31/32.81 inference(quant_inst,[status(thm)],[])).
% 50.31/32.81 tff(20403,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB159) | (~v124(constB159, bitIndex2)) | v121(constB159, bitIndex2)),
% 50.31/32.81 inference(modus_ponens,[status(thm)],[20402, 20401])).
% 50.31/32.81 tff(20404,plain,
% 50.31/32.81 ((~v124(constB159, bitIndex2)) | v121(constB159, bitIndex2)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20403, 374, 20207])).
% 50.31/32.81 tff(20405,plain,
% 50.31/32.81 (~v124(constB159, bitIndex2)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20404, 20400])).
% 50.31/32.81 tff(20406,plain,
% 50.31/32.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB159)) | v124(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB159)) | v124(constB159, bitIndex2))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20407,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB159)) | v124(constB159, bitIndex2))),
% 50.31/32.81 inference(quant_inst,[status(thm)],[])).
% 50.31/32.81 tff(20408,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB159)) | v124(constB159, bitIndex2)),
% 50.31/32.81 inference(modus_ponens,[status(thm)],[20407, 20406])).
% 50.31/32.81 tff(20409,plain,
% 50.31/32.81 (~v116(constB159)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20408, 1923, 20405])).
% 50.31/32.81 tff(20410,plain,
% 50.31/32.81 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0)) | (~v94(constB160)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0)) | (~v94(constB160)))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20411,plain,
% 50.31/32.81 ((v84(constB160, bitIndex0) | (~v94(constB160)) | (~v123(constB160, bitIndex0))) <=> (v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0)) | (~v94(constB160)))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20412,plain,
% 50.31/32.81 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~v94(constB160)) | (~v123(constB160, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0)) | (~v94(constB160))))),
% 50.31/32.81 inference(monotonicity,[status(thm)],[20411])).
% 50.31/32.81 tff(20413,plain,
% 50.31/32.81 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~v94(constB160)) | (~v123(constB160, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0)) | (~v94(constB160)))),
% 50.31/32.81 inference(transitivity,[status(thm)],[20412, 20410])).
% 50.31/32.81 tff(20414,plain,
% 50.31/32.81 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~v94(constB160)) | (~v123(constB160, bitIndex0)))),
% 50.31/32.81 inference(quant_inst,[status(thm)],[])).
% 50.31/32.81 tff(20415,plain,
% 50.31/32.81 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0)) | (~v94(constB160))),
% 50.31/32.81 inference(modus_ponens,[status(thm)],[20414, 20413])).
% 50.31/32.81 tff(20416,plain,
% 50.31/32.81 ((~v123(constB160, bitIndex0)) | (~v94(constB160))),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20415, 1421, 20289])).
% 50.31/32.81 tff(20417,plain,
% 50.31/32.81 (~v123(constB160, bitIndex0)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20416, 20387])).
% 50.31/32.81 tff(20418,plain,
% 50.31/32.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex0)) | v123(constB160, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex0)) | v123(constB160, bitIndex0))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20419,plain,
% 50.31/32.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex0)) | v123(constB160, bitIndex0))),
% 50.31/32.81 inference(quant_inst,[status(thm)],[])).
% 50.31/32.81 tff(20420,plain,
% 50.31/32.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex0)) | v123(constB160, bitIndex0)),
% 50.31/32.81 inference(modus_ponens,[status(thm)],[20419, 20418])).
% 50.31/32.81 tff(20421,plain,
% 50.31/32.81 ((~v121(constB159, bitIndex0)) | v123(constB160, bitIndex0)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20420, 1406, 20218])).
% 50.31/32.81 tff(20422,plain,
% 50.31/32.81 (~v121(constB159, bitIndex0)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20421, 20417])).
% 50.31/32.81 tff(20423,plain,
% 50.31/32.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB159) | (~v124(constB159, bitIndex0)) | v121(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB159) | (~v124(constB159, bitIndex0)) | v121(constB159, bitIndex0))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20424,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB159) | (~v124(constB159, bitIndex0)) | v121(constB159, bitIndex0))),
% 50.31/32.81 inference(quant_inst,[status(thm)],[])).
% 50.31/32.81 tff(20425,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB159) | (~v124(constB159, bitIndex0)) | v121(constB159, bitIndex0)),
% 50.31/32.81 inference(modus_ponens,[status(thm)],[20424, 20423])).
% 50.31/32.81 tff(20426,plain,
% 50.31/32.81 ((~v124(constB159, bitIndex0)) | v121(constB159, bitIndex0)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20425, 1391, 20207])).
% 50.31/32.81 tff(20427,plain,
% 50.31/32.81 (~v124(constB159, bitIndex0)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20426, 20422])).
% 50.31/32.81 tff(20428,plain,
% 50.31/32.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB159)) | v124(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB159)) | v124(constB159, bitIndex0))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20429,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB159)) | v124(constB159, bitIndex0))),
% 50.31/32.81 inference(quant_inst,[status(thm)],[])).
% 50.31/32.81 tff(20430,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB159)) | v124(constB159, bitIndex0)),
% 50.31/32.81 inference(modus_ponens,[status(thm)],[20429, 20428])).
% 50.31/32.81 tff(20431,plain,
% 50.31/32.81 (~v115(constB159)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20430, 1784, 20427])).
% 50.31/32.81 tff(20432,plain,
% 50.31/32.81 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB159)) | v124(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB159)) | v124(constB159, bitIndex2))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20433,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB159)) | v124(constB159, bitIndex2))),
% 50.31/32.81 inference(quant_inst,[status(thm)],[])).
% 50.31/32.81 tff(20434,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB159)) | v124(constB159, bitIndex2)),
% 50.31/32.81 inference(modus_ponens,[status(thm)],[20433, 20432])).
% 50.31/32.81 tff(20435,plain,
% 50.31/32.81 (~v113(constB159)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20434, 360, 20405])).
% 50.31/32.81 tff(20436,plain,
% 50.31/32.81 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB159)) | v124(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB159)) | v124(constB159, bitIndex0))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20437,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB159)) | v124(constB159, bitIndex0))),
% 50.31/32.81 inference(quant_inst,[status(thm)],[])).
% 50.31/32.81 tff(20438,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB159)) | v124(constB159, bitIndex0)),
% 50.31/32.81 inference(modus_ponens,[status(thm)],[20437, 20436])).
% 50.31/32.81 tff(20439,plain,
% 50.31/32.81 (~v118(constB159)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20438, 4562, 20427])).
% 50.31/32.81 tff(20440,plain,
% 50.31/32.81 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB159)) | v124(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB159)) | v124(constB159, bitIndex2))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20441,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB159)) | v124(constB159, bitIndex2))),
% 50.31/32.81 inference(quant_inst,[status(thm)],[])).
% 50.31/32.81 tff(20442,plain,
% 50.31/32.81 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB159)) | v124(constB159, bitIndex2)),
% 50.31/32.81 inference(modus_ponens,[status(thm)],[20441, 20440])).
% 50.31/32.81 tff(20443,plain,
% 50.31/32.81 (~v172(constB159)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20442, 691, 20405])).
% 50.31/32.81 tff(20444,plain,
% 50.31/32.81 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20445,plain,
% 50.31/32.81 ((v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1))) <=> (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))),
% 50.31/32.81 inference(rewrite,[status(thm)],[])).
% 50.31/32.81 tff(20446,plain,
% 50.31/32.81 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160))))),
% 50.31/32.81 inference(monotonicity,[status(thm)],[20445])).
% 50.31/32.81 tff(20447,plain,
% 50.31/32.81 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))),
% 50.31/32.81 inference(transitivity,[status(thm)],[20446, 20444])).
% 50.31/32.81 tff(20448,plain,
% 50.31/32.81 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1)))),
% 50.31/32.81 inference(quant_inst,[status(thm)],[])).
% 50.31/32.81 tff(20449,plain,
% 50.31/32.81 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160))),
% 50.31/32.81 inference(modus_ponens,[status(thm)],[20448, 20447])).
% 50.31/32.81 tff(20450,plain,
% 50.31/32.81 ((~v123(constB160, bitIndex1)) | (~v94(constB160))),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20449, 887, 20307])).
% 50.31/32.81 tff(20451,plain,
% 50.31/32.81 (~v123(constB160, bitIndex1)),
% 50.31/32.81 inference(unit_resolution,[status(thm)],[20450, 20387])).
% 50.31/32.81 tff(20452,plain,
% 50.31/32.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1))),
% 50.31/32.82 inference(rewrite,[status(thm)],[])).
% 50.31/32.82 tff(20453,plain,
% 50.31/32.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1))),
% 50.31/32.82 inference(quant_inst,[status(thm)],[])).
% 50.31/32.82 tff(20454,plain,
% 50.31/32.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1)),
% 50.31/32.82 inference(modus_ponens,[status(thm)],[20453, 20452])).
% 50.31/32.82 tff(20455,plain,
% 50.31/32.82 ((~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20454, 872, 20218])).
% 50.31/32.82 tff(20456,plain,
% 50.31/32.82 (~v121(constB159, bitIndex1)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20455, 20451])).
% 50.31/32.82 tff(20457,plain,
% 50.31/32.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1))),
% 50.31/32.82 inference(rewrite,[status(thm)],[])).
% 50.31/32.82 tff(20458,plain,
% 50.31/32.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1))),
% 50.31/32.82 inference(quant_inst,[status(thm)],[])).
% 50.31/32.82 tff(20459,plain,
% 50.31/32.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1)),
% 50.31/32.82 inference(modus_ponens,[status(thm)],[20458, 20457])).
% 50.31/32.82 tff(20460,plain,
% 50.31/32.82 ((~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20459, 857, 20207])).
% 50.31/32.82 tff(20461,plain,
% 50.31/32.82 (~v124(constB159, bitIndex1)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20460, 20456])).
% 50.31/32.82 tff(20462,plain,
% 50.31/32.82 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB159)) | v124(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB159)) | v124(constB159, bitIndex1))),
% 50.31/32.82 inference(rewrite,[status(thm)],[])).
% 50.31/32.82 tff(20463,plain,
% 50.31/32.82 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB159)) | v124(constB159, bitIndex1))),
% 50.31/32.82 inference(quant_inst,[status(thm)],[])).
% 50.31/32.82 tff(20464,plain,
% 50.31/32.82 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB159)) | v124(constB159, bitIndex1)),
% 50.31/32.82 inference(modus_ponens,[status(thm)],[20463, 20462])).
% 50.31/32.82 tff(20465,plain,
% 50.31/32.82 (~v145(constB159)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20464, 1512, 20461])).
% 50.31/32.82 tff(20466,plain,
% 50.31/32.82 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB159, bitIndex0) | v118(constB159) | v113(constB159) | v145(constB159) | v115(constB159) | v116(constB159) | v172(constB159))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB159, bitIndex0) | v118(constB159) | v113(constB159) | v145(constB159) | v115(constB159) | v116(constB159) | v172(constB159))),
% 50.31/32.82 inference(rewrite,[status(thm)],[])).
% 50.31/32.82 tff(20467,plain,
% 50.31/32.82 ((v113(constB159) | v145(constB159) | v115(constB159) | v116(constB159) | v172(constB159) | v118(constB159) | v124(constB159, bitIndex0)) <=> (v124(constB159, bitIndex0) | v118(constB159) | v113(constB159) | v145(constB159) | v115(constB159) | v116(constB159) | v172(constB159))),
% 50.31/32.82 inference(rewrite,[status(thm)],[])).
% 50.31/32.82 tff(20468,plain,
% 50.31/32.82 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB159) | v145(constB159) | v115(constB159) | v116(constB159) | v172(constB159) | v118(constB159) | v124(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB159, bitIndex0) | v118(constB159) | v113(constB159) | v145(constB159) | v115(constB159) | v116(constB159) | v172(constB159)))),
% 50.31/32.82 inference(monotonicity,[status(thm)],[20467])).
% 50.31/32.82 tff(20469,plain,
% 50.31/32.82 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB159) | v145(constB159) | v115(constB159) | v116(constB159) | v172(constB159) | v118(constB159) | v124(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB159, bitIndex0) | v118(constB159) | v113(constB159) | v145(constB159) | v115(constB159) | v116(constB159) | v172(constB159))),
% 50.31/32.82 inference(transitivity,[status(thm)],[20468, 20466])).
% 50.31/32.82 tff(20470,plain,
% 50.31/32.82 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB159) | v145(constB159) | v115(constB159) | v116(constB159) | v172(constB159) | v118(constB159) | v124(constB159, bitIndex0))),
% 50.31/32.82 inference(quant_inst,[status(thm)],[])).
% 50.31/32.82 tff(20471,plain,
% 50.31/32.82 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB159, bitIndex0) | v118(constB159) | v113(constB159) | v145(constB159) | v115(constB159) | v116(constB159) | v172(constB159)),
% 50.31/32.82 inference(modus_ponens,[status(thm)],[20470, 20469])).
% 50.31/32.82 tff(20472,plain,
% 50.31/32.82 (v118(constB159) | v113(constB159) | v145(constB159) | v115(constB159) | v116(constB159) | v172(constB159)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20471, 1374, 20427])).
% 50.31/32.82 tff(20473,plain,
% 50.31/32.82 ($false),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20472, 20465, 20443, 20439, 20435, 20431, 20409])).
% 50.31/32.82 tff(20474,plain,(v84(constB160, bitIndex1) | v84(constB160, bitIndex2) | v84(constB160, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.31/32.82 tff(20475,plain,
% 50.31/32.82 (v84(constB160, bitIndex1)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20474, 20298, 20289])).
% 50.31/32.82 tff(20476,plain,
% 50.31/32.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB159, bitIndex1) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB159, bitIndex1) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex1)))),
% 50.31/32.82 inference(rewrite,[status(thm)],[])).
% 50.31/32.82 tff(20477,plain,
% 50.31/32.82 (((~nextState(constB159, constB160)) | v84(constB159, bitIndex1) | v94(constB160) | (~v84(constB160, bitIndex1))) <=> (v84(constB159, bitIndex1) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex1)))),
% 50.31/32.82 inference(rewrite,[status(thm)],[])).
% 50.31/32.82 tff(20478,plain,
% 50.31/32.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB159, constB160)) | v84(constB159, bitIndex1) | v94(constB160) | (~v84(constB160, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB159, bitIndex1) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex1))))),
% 50.31/32.82 inference(monotonicity,[status(thm)],[20477])).
% 50.31/32.82 tff(20479,plain,
% 50.31/32.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB159, constB160)) | v84(constB159, bitIndex1) | v94(constB160) | (~v84(constB160, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB159, bitIndex1) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex1)))),
% 50.31/32.82 inference(transitivity,[status(thm)],[20478, 20476])).
% 50.31/32.82 tff(20480,plain,
% 50.31/32.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB159, constB160)) | v84(constB159, bitIndex1) | v94(constB160) | (~v84(constB160, bitIndex1)))),
% 50.31/32.82 inference(quant_inst,[status(thm)],[])).
% 50.31/32.82 tff(20481,plain,
% 50.31/32.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB159, bitIndex1) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex1))),
% 50.31/32.82 inference(modus_ponens,[status(thm)],[20480, 20479])).
% 50.31/32.82 tff(20482,plain,
% 50.31/32.82 (v84(constB159, bitIndex1) | v94(constB160) | (~v84(constB160, bitIndex1))),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20481, 163, 20218])).
% 50.31/32.82 tff(20483,plain,
% 50.31/32.82 (v84(constB159, bitIndex1)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20482, 20288, 20475])).
% 50.31/32.82 tff(20484,plain,
% 50.31/32.82 (v115(constB159)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20198, 1594, 20323, 20483, 20306])).
% 50.31/32.82 tff(20485,plain,
% 50.31/32.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB159) | (~v115(constB159)))),
% 50.31/32.82 inference(rewrite,[status(thm)],[])).
% 50.31/32.82 tff(20486,plain,
% 50.31/32.82 (((~v115(constB159)) | v111(constB159)) <=> (v111(constB159) | (~v115(constB159)))),
% 50.31/32.82 inference(rewrite,[status(thm)],[])).
% 50.31/32.82 tff(20487,plain,
% 50.31/32.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB159)) | v111(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB159) | (~v115(constB159))))),
% 50.31/32.82 inference(monotonicity,[status(thm)],[20486])).
% 50.31/32.82 tff(20488,plain,
% 50.31/32.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB159)) | v111(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB159) | (~v115(constB159)))),
% 50.31/32.82 inference(transitivity,[status(thm)],[20487, 20485])).
% 50.31/32.82 tff(20489,plain,
% 50.31/32.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB159)) | v111(constB159))),
% 50.31/32.82 inference(quant_inst,[status(thm)],[])).
% 50.31/32.82 tff(20490,plain,
% 50.31/32.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB159) | (~v115(constB159))),
% 50.31/32.82 inference(modus_ponens,[status(thm)],[20489, 20488])).
% 50.31/32.82 tff(20491,plain,
% 50.31/32.82 (v111(constB159)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20490, 1605, 20484])).
% 50.31/32.82 tff(20492,plain,
% 50.31/32.82 (v110(constB159)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20350, 292, 20491])).
% 50.31/32.82 tff(20493,plain,
% 50.31/32.82 ($false),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20313, 306, 20492, 20271])).
% 50.31/32.82 tff(20494,plain,(v102(constB159) | v84(constB160, bitIndex2) | v84(constB160, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.31/32.82 tff(20495,plain,
% 50.31/32.82 (v84(constB160, bitIndex2)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20494, 20289, 20225])).
% 50.31/32.82 tff(20496,plain,
% 50.31/32.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex2)))),
% 50.31/32.82 inference(rewrite,[status(thm)],[])).
% 50.31/32.82 tff(20497,plain,
% 50.31/32.82 (((~nextState(constB159, constB160)) | v84(constB159, bitIndex2) | v94(constB160) | (~v84(constB160, bitIndex2))) <=> (v84(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex2)))),
% 50.31/32.82 inference(rewrite,[status(thm)],[])).
% 50.31/32.82 tff(20498,plain,
% 50.31/32.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v84(constB159, bitIndex2) | v94(constB160) | (~v84(constB160, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex2))))),
% 50.31/32.82 inference(monotonicity,[status(thm)],[20497])).
% 50.31/32.82 tff(20499,plain,
% 50.31/32.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v84(constB159, bitIndex2) | v94(constB160) | (~v84(constB160, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex2)))),
% 50.31/32.82 inference(transitivity,[status(thm)],[20498, 20496])).
% 50.31/32.82 tff(20500,plain,
% 50.31/32.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v84(constB159, bitIndex2) | v94(constB160) | (~v84(constB160, bitIndex2)))),
% 50.31/32.82 inference(quant_inst,[status(thm)],[])).
% 50.31/32.82 tff(20501,plain,
% 50.31/32.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex2))),
% 50.31/32.82 inference(modus_ponens,[status(thm)],[20500, 20499])).
% 50.31/32.82 tff(20502,plain,
% 50.31/32.82 (v84(constB159, bitIndex2) | v94(constB160) | (~v84(constB160, bitIndex2))),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20501, 142, 20218])).
% 50.31/32.82 tff(20503,plain,
% 50.31/32.82 (v84(constB159, bitIndex2)),
% 50.31/32.82 inference(unit_resolution,[status(thm)],[20502, 20495, 20288])).
% 50.31/32.82 tff(20504,assumption,(v84(constB159, bitIndex2)), introduced(assumption)).
% 50.31/32.82 tff(20505,assumption,(~v119(constB159)), introduced(assumption)).
% 50.31/32.82 tff(20506,plain,
% 50.31/32.82 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | (~v84(constB159, bitIndex2)) | v119(constB159))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | (~v84(constB159, bitIndex2)) | v119(constB159))),
% 50.31/32.82 inference(rewrite,[status(thm)],[])).
% 50.31/32.82 tff(20507,plain,
% 50.31/32.82 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | (~v84(constB159, bitIndex2)) | v119(constB159))),
% 50.31/32.82 inference(quant_inst,[status(thm)],[])).
% 50.31/32.83 tff(20508,plain,
% 50.31/32.83 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | (~v84(constB159, bitIndex2)) | v119(constB159)),
% 50.31/32.83 inference(modus_ponens,[status(thm)],[20507, 20506])).
% 50.31/32.83 tff(20509,plain,
% 50.31/32.83 (v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | (~v84(constB159, bitIndex2))),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20508, 965, 20505])).
% 50.31/32.83 tff(20510,plain,
% 50.31/32.83 (~v84(constB159, bitIndex1)),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20509, 20224, 20504])).
% 50.31/32.83 tff(20511,assumption,(~v172(constB159)), introduced(assumption)).
% 50.31/32.83 tff(20512,plain,
% 50.31/32.83 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB159, bitIndex0) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex2)) | v172(constB159))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB159, bitIndex0) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex2)) | v172(constB159))),
% 50.31/32.83 inference(rewrite,[status(thm)],[])).
% 50.31/32.83 tff(20513,plain,
% 50.31/32.83 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB159, bitIndex0) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex2)) | v172(constB159))),
% 50.31/32.83 inference(quant_inst,[status(thm)],[])).
% 50.31/32.83 tff(20514,plain,
% 50.31/32.83 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB159, bitIndex0) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex2)) | v172(constB159)),
% 50.31/32.83 inference(modus_ponens,[status(thm)],[20513, 20512])).
% 50.31/32.83 tff(20515,plain,
% 50.31/32.83 (v84(constB159, bitIndex0) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex2))),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20514, 679, 20511])).
% 50.31/32.83 tff(20516,plain,
% 50.31/32.83 ($false),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20515, 20510, 20224, 20504])).
% 50.31/32.83 tff(20517,plain,(v84(constB159, bitIndex0) | (~v84(constB159, bitIndex2)) | v172(constB159) | v119(constB159)), inference(lemma,lemma(discharge,[]))).
% 50.31/32.83 tff(20518,plain,
% 50.31/32.83 ($false),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20517, 20503, 20297, 20275, 20257])).
% 50.31/32.83 tff(20519,plain,(v84(constB160, bitIndex0) | v102(constB159)), inference(lemma,lemma(discharge,[]))).
% 50.31/32.83 tff(20520,plain,
% 50.31/32.83 (v84(constB160, bitIndex0)),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20519, 20225])).
% 50.31/32.83 tff(20521,plain,
% 50.31/32.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB159, bitIndex0) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB159, bitIndex0) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex0)))),
% 50.31/32.83 inference(rewrite,[status(thm)],[])).
% 50.31/32.83 tff(20522,plain,
% 50.31/32.83 (((~nextState(constB159, constB160)) | v84(constB159, bitIndex0) | v94(constB160) | (~v84(constB160, bitIndex0))) <=> (v84(constB159, bitIndex0) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex0)))),
% 50.31/32.83 inference(rewrite,[status(thm)],[])).
% 50.31/32.83 tff(20523,plain,
% 50.31/32.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v84(constB159, bitIndex0) | v94(constB160) | (~v84(constB160, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB159, bitIndex0) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex0))))),
% 50.31/32.83 inference(monotonicity,[status(thm)],[20522])).
% 50.31/32.83 tff(20524,plain,
% 50.31/32.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v84(constB159, bitIndex0) | v94(constB160) | (~v84(constB160, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB159, bitIndex0) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex0)))),
% 50.31/32.83 inference(transitivity,[status(thm)],[20523, 20521])).
% 50.31/32.83 tff(20525,plain,
% 50.31/32.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v84(constB159, bitIndex0) | v94(constB160) | (~v84(constB160, bitIndex0)))),
% 50.31/32.83 inference(quant_inst,[status(thm)],[])).
% 50.31/32.83 tff(20526,plain,
% 50.31/32.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB159, bitIndex0) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex0))),
% 50.31/32.83 inference(modus_ponens,[status(thm)],[20525, 20524])).
% 50.31/32.83 tff(20527,plain,
% 50.31/32.83 (v84(constB159, bitIndex0) | v94(constB160) | (~v84(constB160, bitIndex0))),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20526, 184, 20218])).
% 50.31/32.83 tff(20528,plain,
% 50.31/32.83 ($false),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20527, 20288, 20520, 20224])).
% 50.31/32.83 tff(20529,plain,(v102(constB159) | v84(constB159, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.31/32.83 tff(20530,plain,
% 50.31/32.83 (v102(constB159)),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20529, 20195])).
% 50.31/32.83 tff(20531,plain,
% 50.31/32.83 (v104(constB160)),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20360, 20530])).
% 50.31/32.83 tff(20532,plain,
% 50.31/32.83 (v94(constB160)),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20386, 20531])).
% 50.31/32.83 tff(20533,plain,
% 50.31/32.83 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))),
% 50.31/32.83 inference(rewrite,[status(thm)],[])).
% 50.31/32.83 tff(20534,plain,
% 50.31/32.83 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))),
% 50.31/32.83 inference(quant_inst,[status(thm)],[])).
% 50.31/32.83 tff(20535,plain,
% 50.31/32.83 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160))),
% 50.31/32.83 inference(modus_ponens,[status(thm)],[20534, 20533])).
% 50.31/32.83 tff(20536,plain,
% 50.31/32.83 ((~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2)),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20535, 1220, 20532])).
% 50.31/32.83 tff(20537,plain,
% 50.31/32.83 (~v84(constB160, bitIndex2)),
% 50.31/32.83 inference(unit_resolution,[status(thm)],[20536, 20223])).
% 50.31/32.83 tff(20538,plain,
% 50.31/32.83 ((~v1(constB161)) <=> (~v1(constB161))),
% 50.31/32.83 inference(rewrite,[status(thm)],[])).
% 50.31/32.83 tff(20539,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 50.31/32.83 tff(20540,plain,
% 50.31/32.83 (~v1(constB161)),
% 50.31/32.83 inference(modus_ponens,[status(thm)],[20539, 20538])).
% 50.31/32.83 tff(20541,plain,
% 50.31/32.83 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 50.31/32.83 inference(rewrite,[status(thm)],[])).
% 50.31/32.83 tff(20542,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 50.31/32.83 tff(20543,plain,
% 50.31/32.83 (nextState(constB160, constB161)),
% 50.31/32.83 inference(modus_ponens,[status(thm)],[20542, 20541])).
% 50.31/32.83 tff(20544,plain,
% 50.31/32.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))),
% 50.37/32.83 inference(rewrite,[status(thm)],[])).
% 50.37/32.83 tff(20545,plain,
% 50.37/32.83 (((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))),
% 50.37/32.83 inference(rewrite,[status(thm)],[])).
% 50.37/32.83 tff(20546,plain,
% 50.37/32.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161))))),
% 50.37/32.83 inference(monotonicity,[status(thm)],[20545])).
% 50.37/32.83 tff(20547,plain,
% 50.37/32.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))),
% 50.37/32.83 inference(transitivity,[status(thm)],[20546, 20544])).
% 50.37/32.83 tff(20548,plain,
% 50.37/32.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161))),
% 50.37/32.83 inference(quant_inst,[status(thm)],[])).
% 50.37/32.83 tff(20549,plain,
% 50.37/32.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161))),
% 50.37/32.83 inference(modus_ponens,[status(thm)],[20548, 20547])).
% 50.37/32.83 tff(20550,plain,
% 50.37/32.83 (~v95(constB161)),
% 50.37/32.83 inference(unit_resolution,[status(thm)],[20549, 110, 20543, 20540])).
% 50.37/32.83 tff(20551,plain,
% 50.37/32.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161)))),
% 50.37/32.83 inference(rewrite,[status(thm)],[])).
% 50.37/32.83 tff(20552,plain,
% 50.37/32.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161)))),
% 50.37/32.83 inference(quant_inst,[status(thm)],[])).
% 50.37/32.83 tff(20553,plain,
% 50.37/32.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161))),
% 50.37/32.83 inference(modus_ponens,[status(thm)],[20552, 20551])).
% 50.37/32.83 tff(20554,plain,
% 50.37/32.83 (v95(constB161) | (~v94(constB161))),
% 50.37/32.83 inference(unit_resolution,[status(thm)],[20553, 127, 20543])).
% 50.37/32.83 tff(20555,plain,
% 50.37/32.83 (~v94(constB161)),
% 50.37/32.83 inference(unit_resolution,[status(thm)],[20554, 20550])).
% 50.37/32.83 tff(20556,plain,
% 50.37/32.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 50.37/32.83 inference(rewrite,[status(thm)],[])).
% 50.37/32.83 tff(20557,plain,
% 50.37/32.83 (((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2))) <=> (v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 50.37/32.83 inference(rewrite,[status(thm)],[])).
% 50.37/32.83 tff(20558,plain,
% 50.37/32.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2))))),
% 50.37/32.83 inference(monotonicity,[status(thm)],[20557])).
% 50.37/32.83 tff(20559,plain,
% 50.37/32.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 50.37/32.83 inference(transitivity,[status(thm)],[20558, 20556])).
% 50.37/32.83 tff(20560,plain,
% 50.37/32.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 50.37/32.83 inference(quant_inst,[status(thm)],[])).
% 50.37/32.83 tff(20561,plain,
% 50.37/32.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2))),
% 50.37/32.83 inference(modus_ponens,[status(thm)],[20560, 20559])).
% 50.37/32.83 tff(20562,plain,
% 50.37/32.84 (v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2))),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20561, 142, 20543])).
% 50.37/32.84 tff(20563,plain,
% 50.37/32.84 (v84(constB160, bitIndex2) | (~v84(constB161, bitIndex2))),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20562, 20555])).
% 50.37/32.84 tff(20564,plain,
% 50.37/32.84 (~v84(constB161, bitIndex2)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20563, 20537])).
% 50.37/32.84 tff(20565,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB159)) | v124(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB159)) | v124(constB159, bitIndex1))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20566,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB159)) | v124(constB159, bitIndex1))),
% 50.37/32.84 inference(quant_inst,[status(thm)],[])).
% 50.37/32.84 tff(20567,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB159)) | v124(constB159, bitIndex1)),
% 50.37/32.84 inference(modus_ponens,[status(thm)],[20566, 20565])).
% 50.37/32.84 tff(20568,plain,
% 50.37/32.84 (v124(constB159, bitIndex1)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20567, 1746, 20199])).
% 50.37/32.84 tff(20569,plain,
% 50.37/32.84 (v121(constB159, bitIndex1)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20460, 20568])).
% 50.37/32.84 tff(20570,plain,
% 50.37/32.84 (v123(constB160, bitIndex1)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20455, 20569])).
% 50.37/32.84 tff(20571,plain,
% 50.37/32.84 (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1))),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20449, 887, 20532])).
% 50.37/32.84 tff(20572,plain,
% 50.37/32.84 (v84(constB160, bitIndex1)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20571, 20570])).
% 50.37/32.84 tff(20573,plain,
% 50.37/32.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20574,plain,
% 50.37/32.84 (((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1)) <=> ((~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20575,plain,
% 50.37/32.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1)))),
% 50.37/32.84 inference(monotonicity,[status(thm)],[20574])).
% 50.37/32.84 tff(20576,plain,
% 50.37/32.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))),
% 50.37/32.84 inference(transitivity,[status(thm)],[20575, 20573])).
% 50.37/32.84 tff(20577,plain,
% 50.37/32.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1))),
% 50.37/32.84 inference(quant_inst,[status(thm)],[])).
% 50.37/32.84 tff(20578,plain,
% 50.37/32.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1)),
% 50.37/32.84 inference(modus_ponens,[status(thm)],[20577, 20576])).
% 50.37/32.84 tff(20579,plain,
% 50.37/32.84 ((~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20578, 905, 20543])).
% 50.37/32.84 tff(20580,plain,
% 50.37/32.84 ((~v84(constB160, bitIndex1)) | v84(constB161, bitIndex1)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20579, 20555])).
% 50.37/32.84 tff(20581,plain,
% 50.37/32.84 (v84(constB161, bitIndex1)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20580, 20572])).
% 50.37/32.84 tff(20582,plain,
% 50.37/32.84 (v124(constB159, bitIndex0)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20430, 1784, 20199])).
% 50.37/32.84 tff(20583,plain,
% 50.37/32.84 (v121(constB159, bitIndex0)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20426, 20582])).
% 50.37/32.84 tff(20584,plain,
% 50.37/32.84 (v123(constB160, bitIndex0)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20421, 20583])).
% 50.37/32.84 tff(20585,plain,
% 50.37/32.84 (v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0))),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20415, 1421, 20532])).
% 50.37/32.84 tff(20586,plain,
% 50.37/32.84 (v84(constB160, bitIndex0)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20585, 20584])).
% 50.37/32.84 tff(20587,plain,
% 50.37/32.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex0))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20588,plain,
% 50.37/32.84 (((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex0)) | v94(constB161) | v84(constB161, bitIndex0)) <=> ((~v84(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex0))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20589,plain,
% 50.37/32.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex0)) | v94(constB161) | v84(constB161, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex0)))),
% 50.37/32.84 inference(monotonicity,[status(thm)],[20588])).
% 50.37/32.84 tff(20590,plain,
% 50.37/32.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex0)) | v94(constB161) | v84(constB161, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex0))),
% 50.37/32.84 inference(transitivity,[status(thm)],[20589, 20587])).
% 50.37/32.84 tff(20591,plain,
% 50.37/32.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex0)) | v94(constB161) | v84(constB161, bitIndex0))),
% 50.37/32.84 inference(quant_inst,[status(thm)],[])).
% 50.37/32.84 tff(20592,plain,
% 50.37/32.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex0)),
% 50.37/32.84 inference(modus_ponens,[status(thm)],[20591, 20590])).
% 50.37/32.84 tff(20593,plain,
% 50.37/32.84 ((~v84(constB160, bitIndex0)) | v94(constB161) | v84(constB161, bitIndex0)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20592, 1439, 20543])).
% 50.37/32.84 tff(20594,plain,
% 50.37/32.84 ((~v84(constB160, bitIndex0)) | v84(constB161, bitIndex0)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20593, 20555])).
% 50.37/32.84 tff(20595,plain,
% 50.37/32.84 (v84(constB161, bitIndex0)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20594, 20586])).
% 50.37/32.84 tff(20596,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB161, bitIndex0)) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB161, bitIndex0)) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v116(constB161))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20597,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB161, bitIndex0)) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v116(constB161))),
% 50.37/32.84 inference(quant_inst,[status(thm)],[])).
% 50.37/32.84 tff(20598,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB161, bitIndex0)) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v116(constB161)),
% 50.37/32.84 inference(modus_ponens,[status(thm)],[20597, 20596])).
% 50.37/32.84 tff(20599,plain,
% 50.37/32.84 (v116(constB161)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20598, 1825, 20595, 20581, 20564])).
% 50.37/32.84 tff(20600,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB161) | (~v116(constB161)))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20601,plain,
% 50.37/32.84 (((~v116(constB161)) | v110(constB161)) <=> (v110(constB161) | (~v116(constB161)))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20602,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB161)) | v110(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB161) | (~v116(constB161))))),
% 50.37/32.84 inference(monotonicity,[status(thm)],[20601])).
% 50.37/32.84 tff(20603,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB161)) | v110(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB161) | (~v116(constB161)))),
% 50.37/32.84 inference(transitivity,[status(thm)],[20602, 20600])).
% 50.37/32.84 tff(20604,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB161)) | v110(constB161))),
% 50.37/32.84 inference(quant_inst,[status(thm)],[])).
% 50.37/32.84 tff(20605,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB161) | (~v116(constB161))),
% 50.37/32.84 inference(modus_ponens,[status(thm)],[20604, 20603])).
% 50.37/32.84 tff(20606,plain,
% 50.37/32.84 (v110(constB161)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20605, 1836, 20599])).
% 50.37/32.84 tff(20607,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB161) | (~v110(constB161)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB161) | (~v110(constB161)))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20608,plain,
% 50.37/32.84 (((~v110(constB161)) | v109(constB161)) <=> (v109(constB161) | (~v110(constB161)))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20609,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB161)) | v109(constB161))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB161) | (~v110(constB161))))),
% 50.37/32.84 inference(monotonicity,[status(thm)],[20608])).
% 50.37/32.84 tff(20610,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB161)) | v109(constB161))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB161) | (~v110(constB161)))),
% 50.37/32.84 inference(transitivity,[status(thm)],[20609, 20607])).
% 50.37/32.84 tff(20611,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB161)) | v109(constB161))),
% 50.37/32.84 inference(quant_inst,[status(thm)],[])).
% 50.37/32.84 tff(20612,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB161) | (~v110(constB161))),
% 50.37/32.84 inference(modus_ponens,[status(thm)],[20611, 20610])).
% 50.37/32.84 tff(20613,plain,
% 50.37/32.84 (v109(constB161)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20612, 306, 20606])).
% 50.37/32.84 tff(20614,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB161)) | v108(constB161))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20615,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB161)) | v108(constB161))),
% 50.37/32.84 inference(quant_inst,[status(thm)],[])).
% 50.37/32.84 tff(20616,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB161)) | v108(constB161)),
% 50.37/32.84 inference(modus_ponens,[status(thm)],[20615, 20614])).
% 50.37/32.84 tff(20617,plain,
% 50.37/32.84 (v108(constB161)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20616, 320, 20613])).
% 50.37/32.84 tff(20618,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB161) | (~v108(constB161)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB161) | (~v108(constB161)))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20619,plain,
% 50.37/32.84 (((~v108(constB161)) | v107(constB161)) <=> (v107(constB161) | (~v108(constB161)))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20620,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB161)) | v107(constB161))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB161) | (~v108(constB161))))),
% 50.37/32.84 inference(monotonicity,[status(thm)],[20619])).
% 50.37/32.84 tff(20621,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB161)) | v107(constB161))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB161) | (~v108(constB161)))),
% 50.37/32.84 inference(transitivity,[status(thm)],[20620, 20618])).
% 50.37/32.84 tff(20622,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB161)) | v107(constB161))),
% 50.37/32.84 inference(quant_inst,[status(thm)],[])).
% 50.37/32.84 tff(20623,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB161) | (~v108(constB161))),
% 50.37/32.84 inference(modus_ponens,[status(thm)],[20622, 20621])).
% 50.37/32.84 tff(20624,plain,
% 50.37/32.84 (v107(constB161)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20623, 334, 20617])).
% 50.37/32.84 tff(20625,assumption,(v26(constB161)), introduced(assumption)).
% 50.37/32.84 tff(20626,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB161))),
% 50.37/32.84 inference(quant_inst,[status(thm)],[])).
% 50.37/32.84 tff(20627,plain,
% 50.37/32.84 ($false),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20626, 55, 20625])).
% 50.37/32.84 tff(20628,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 50.37/32.84 tff(20629,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | v106(constB161) | (~v107(constB161)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB161) | v106(constB161) | (~v107(constB161)))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20630,plain,
% 50.37/32.84 ((v26(constB161) | (~v107(constB161)) | v106(constB161)) <=> (v26(constB161) | v106(constB161) | (~v107(constB161)))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20631,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | (~v107(constB161)) | v106(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | v106(constB161) | (~v107(constB161))))),
% 50.37/32.84 inference(monotonicity,[status(thm)],[20630])).
% 50.37/32.84 tff(20632,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | (~v107(constB161)) | v106(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB161) | v106(constB161) | (~v107(constB161)))),
% 50.37/32.84 inference(transitivity,[status(thm)],[20631, 20629])).
% 50.37/32.84 tff(20633,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | (~v107(constB161)) | v106(constB161))),
% 50.37/32.84 inference(quant_inst,[status(thm)],[])).
% 50.37/32.84 tff(20634,plain,
% 50.37/32.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB161) | v106(constB161) | (~v107(constB161))),
% 50.37/32.84 inference(modus_ponens,[status(thm)],[20633, 20632])).
% 50.37/32.84 tff(20635,plain,
% 50.37/32.84 (v106(constB161) | (~v107(constB161))),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20634, 348, 20628])).
% 50.37/32.84 tff(20636,plain,
% 50.37/32.84 (v106(constB161)),
% 50.37/32.84 inference(unit_resolution,[status(thm)],[20635, 20624])).
% 50.37/32.84 tff(20637,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB161) | (~v106(constB161)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB161) | (~v106(constB161)))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20638,plain,
% 50.37/32.84 (((~v106(constB161)) | v102(constB161)) <=> (v102(constB161) | (~v106(constB161)))),
% 50.37/32.84 inference(rewrite,[status(thm)],[])).
% 50.37/32.84 tff(20639,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB161)) | v102(constB161))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB161) | (~v106(constB161))))),
% 50.37/32.84 inference(monotonicity,[status(thm)],[20638])).
% 50.37/32.84 tff(20640,plain,
% 50.37/32.84 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB161)) | v102(constB161))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB161) | (~v106(constB161)))),
% 50.37/32.85 inference(transitivity,[status(thm)],[20639, 20637])).
% 50.37/32.85 tff(20641,plain,
% 50.37/32.85 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB161)) | v102(constB161))),
% 50.37/32.85 inference(quant_inst,[status(thm)],[])).
% 50.37/32.85 tff(20642,plain,
% 50.37/32.85 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB161) | (~v106(constB161))),
% 50.37/32.85 inference(modus_ponens,[status(thm)],[20641, 20640])).
% 50.37/32.85 tff(20643,plain,
% 50.37/32.85 (v102(constB161)),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20642, 504, 20636])).
% 50.37/32.85 tff(20644,plain,
% 50.37/32.85 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 50.37/32.85 inference(rewrite,[status(thm)],[])).
% 50.37/32.85 tff(20645,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 50.37/32.85 tff(20646,plain,
% 50.37/32.85 (nextState(constB161, constB162)),
% 50.37/32.85 inference(modus_ponens,[status(thm)],[20645, 20644])).
% 50.37/32.85 tff(20647,plain,
% 50.37/32.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))),
% 50.37/32.85 inference(rewrite,[status(thm)],[])).
% 50.37/32.85 tff(20648,plain,
% 50.37/32.85 (((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162)) <=> ((~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))),
% 50.37/32.85 inference(rewrite,[status(thm)],[])).
% 50.37/32.85 tff(20649,plain,
% 50.37/32.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161))))),
% 50.37/32.85 inference(monotonicity,[status(thm)],[20648])).
% 50.37/32.85 tff(20650,plain,
% 50.37/32.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))),
% 50.37/32.85 inference(transitivity,[status(thm)],[20649, 20647])).
% 50.37/32.85 tff(20651,plain,
% 50.37/32.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162))),
% 50.37/32.85 inference(quant_inst,[status(thm)],[])).
% 50.37/32.85 tff(20652,plain,
% 50.37/32.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161))),
% 50.37/32.85 inference(modus_ponens,[status(thm)],[20651, 20650])).
% 50.37/32.85 tff(20653,plain,
% 50.37/32.85 (v104(constB162) | (~v102(constB161))),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20652, 489, 20646])).
% 50.37/32.85 tff(20654,plain,
% 50.37/32.85 (v104(constB162)),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20653, 20643])).
% 50.37/32.85 tff(20655,plain,
% 50.37/32.85 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162)))),
% 50.37/32.85 inference(rewrite,[status(thm)],[])).
% 50.37/32.85 tff(20656,plain,
% 50.37/32.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162)))),
% 50.37/32.85 inference(quant_inst,[status(thm)],[])).
% 50.37/32.85 tff(20657,plain,
% 50.37/32.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162))),
% 50.37/32.85 inference(modus_ponens,[status(thm)],[20656, 20655])).
% 50.37/32.85 tff(20658,plain,
% 50.37/32.85 (~v98(constB162)),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20657, 423, 20646, 20540])).
% 50.37/32.85 tff(20659,plain,
% 50.37/32.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB161, constB162)) | v96(constB162) | v98(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB161, constB162)) | v96(constB162) | v98(constB162))),
% 50.37/32.85 inference(rewrite,[status(thm)],[])).
% 50.37/32.85 tff(20660,plain,
% 50.37/32.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB161, constB162)) | v96(constB162) | v98(constB162))),
% 50.37/32.85 inference(quant_inst,[status(thm)],[])).
% 50.37/32.85 tff(20661,plain,
% 50.37/32.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB161, constB162)) | v96(constB162) | v98(constB162)),
% 50.37/32.85 inference(modus_ponens,[status(thm)],[20660, 20659])).
% 50.37/32.85 tff(20662,plain,
% 50.37/32.85 (v96(constB162) | v98(constB162)),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20661, 437, 20646])).
% 50.37/32.85 tff(20663,plain,
% 50.37/32.85 (v96(constB162)),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20662, 20658])).
% 50.37/32.85 tff(20664,plain,
% 50.37/32.85 (v1(constB162) <=> v1(constB162)),
% 50.37/32.85 inference(rewrite,[status(thm)],[])).
% 50.37/32.85 tff(20665,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 50.37/32.85 tff(20666,plain,
% 50.37/32.85 (v1(constB162)),
% 50.37/32.85 inference(modus_ponens,[status(thm)],[20665, 20664])).
% 50.37/32.85 tff(20667,plain,
% 50.37/32.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162)))),
% 50.37/32.85 inference(rewrite,[status(thm)],[])).
% 50.37/32.85 tff(20668,plain,
% 50.37/32.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162)))),
% 50.37/32.85 inference(quant_inst,[status(thm)],[])).
% 50.37/32.85 tff(20669,plain,
% 50.37/32.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162))),
% 50.37/32.85 inference(modus_ponens,[status(thm)],[20668, 20667])).
% 50.37/32.85 tff(20670,plain,
% 50.37/32.85 (v95(constB162) | (~v96(constB162))),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20669, 455, 20646, 20666])).
% 50.37/32.85 tff(20671,plain,
% 50.37/32.85 (v95(constB162)),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20670, 20663])).
% 50.37/32.85 tff(20672,plain,
% 50.37/32.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))),
% 50.37/32.85 inference(rewrite,[status(thm)],[])).
% 50.37/32.85 tff(20673,plain,
% 50.37/32.85 (((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162)) <=> ((~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))),
% 50.37/32.85 inference(rewrite,[status(thm)],[])).
% 50.37/32.85 tff(20674,plain,
% 50.37/32.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162))))),
% 50.37/32.85 inference(monotonicity,[status(thm)],[20673])).
% 50.37/32.85 tff(20675,plain,
% 50.37/32.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))),
% 50.37/32.85 inference(transitivity,[status(thm)],[20674, 20672])).
% 50.37/32.85 tff(20676,plain,
% 50.37/32.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162))),
% 50.37/32.85 inference(quant_inst,[status(thm)],[])).
% 50.37/32.85 tff(20677,plain,
% 50.37/32.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162))),
% 50.37/32.85 inference(modus_ponens,[status(thm)],[20676, 20675])).
% 50.37/32.85 tff(20678,plain,
% 50.37/32.85 (v94(constB162) | (~v95(constB162)) | (~v104(constB162))),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20677, 470, 20646])).
% 50.37/32.85 tff(20679,plain,
% 50.37/32.85 (v94(constB162) | (~v104(constB162))),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20678, 20671])).
% 50.37/32.85 tff(20680,plain,
% 50.37/32.85 (v94(constB162)),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20679, 20654])).
% 50.37/32.85 tff(20681,plain,
% 50.37/32.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB161)) | v124(constB161, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB161)) | v124(constB161, bitIndex2))),
% 50.37/32.85 inference(rewrite,[status(thm)],[])).
% 50.37/32.85 tff(20682,plain,
% 50.37/32.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB161)) | v124(constB161, bitIndex2))),
% 50.37/32.85 inference(quant_inst,[status(thm)],[])).
% 50.37/32.85 tff(20683,plain,
% 50.37/32.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB161)) | v124(constB161, bitIndex2)),
% 50.37/32.85 inference(modus_ponens,[status(thm)],[20682, 20681])).
% 50.37/32.85 tff(20684,plain,
% 50.37/32.85 (v124(constB161, bitIndex2)),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20683, 1923, 20599])).
% 50.37/32.85 tff(20685,plain,
% 50.37/32.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB161) | (~v124(constB161, bitIndex2)) | v121(constB161, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB161) | (~v124(constB161, bitIndex2)) | v121(constB161, bitIndex2))),
% 50.37/32.85 inference(rewrite,[status(thm)],[])).
% 50.37/32.85 tff(20686,plain,
% 50.37/32.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB161) | (~v124(constB161, bitIndex2)) | v121(constB161, bitIndex2))),
% 50.37/32.85 inference(quant_inst,[status(thm)],[])).
% 50.37/32.85 tff(20687,plain,
% 50.37/32.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB161) | (~v124(constB161, bitIndex2)) | v121(constB161, bitIndex2)),
% 50.37/32.85 inference(modus_ponens,[status(thm)],[20686, 20685])).
% 50.37/32.85 tff(20688,plain,
% 50.37/32.85 ((~v124(constB161, bitIndex2)) | v121(constB161, bitIndex2)),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20687, 374, 20628])).
% 50.37/32.85 tff(20689,plain,
% 50.37/32.85 (v121(constB161, bitIndex2)),
% 50.37/32.85 inference(unit_resolution,[status(thm)],[20688, 20684])).
% 50.39/32.85 tff(20690,plain,
% 50.39/32.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v121(constB161, bitIndex2)) | v123(constB162, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB161, constB162)) | (~v121(constB161, bitIndex2)) | v123(constB162, bitIndex2))),
% 50.39/32.85 inference(rewrite,[status(thm)],[])).
% 50.39/32.85 tff(20691,plain,
% 50.39/32.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v121(constB161, bitIndex2)) | v123(constB162, bitIndex2))),
% 50.39/32.85 inference(quant_inst,[status(thm)],[])).
% 50.39/32.85 tff(20692,plain,
% 50.39/32.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB161, constB162)) | (~v121(constB161, bitIndex2)) | v123(constB162, bitIndex2)),
% 50.39/32.85 inference(modus_ponens,[status(thm)],[20691, 20690])).
% 50.39/32.85 tff(20693,plain,
% 50.39/32.85 ((~v121(constB161, bitIndex2)) | v123(constB162, bitIndex2)),
% 50.39/32.85 inference(unit_resolution,[status(thm)],[20692, 389, 20646])).
% 50.39/32.85 tff(20694,plain,
% 50.39/32.85 (v123(constB162, bitIndex2)),
% 50.39/32.85 inference(unit_resolution,[status(thm)],[20693, 20689])).
% 50.39/32.85 tff(20695,plain,
% 50.39/32.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~v123(constB162, bitIndex2)) | (~v94(constB162)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB162, bitIndex2) | (~v123(constB162, bitIndex2)) | (~v94(constB162)))),
% 50.39/32.85 inference(rewrite,[status(thm)],[])).
% 50.39/32.85 tff(20696,plain,
% 50.39/32.85 ((v84(constB162, bitIndex2) | (~v94(constB162)) | (~v123(constB162, bitIndex2))) <=> (v84(constB162, bitIndex2) | (~v123(constB162, bitIndex2)) | (~v94(constB162)))),
% 50.39/32.85 inference(rewrite,[status(thm)],[])).
% 50.39/32.85 tff(20697,plain,
% 50.39/32.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~v94(constB162)) | (~v123(constB162, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~v123(constB162, bitIndex2)) | (~v94(constB162))))),
% 50.39/32.85 inference(monotonicity,[status(thm)],[20696])).
% 50.39/32.85 tff(20698,plain,
% 50.39/32.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~v94(constB162)) | (~v123(constB162, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB162, bitIndex2) | (~v123(constB162, bitIndex2)) | (~v94(constB162)))),
% 50.39/32.85 inference(transitivity,[status(thm)],[20697, 20695])).
% 50.39/32.85 tff(20699,plain,
% 50.39/32.85 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~v94(constB162)) | (~v123(constB162, bitIndex2)))),
% 50.39/32.85 inference(quant_inst,[status(thm)],[])).
% 50.39/32.85 tff(20700,plain,
% 50.39/32.85 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB162, bitIndex2) | (~v123(constB162, bitIndex2)) | (~v94(constB162))),
% 50.39/32.85 inference(modus_ponens,[status(thm)],[20699, 20698])).
% 50.39/32.85 tff(20701,plain,
% 50.39/32.85 (v84(constB162, bitIndex2) | (~v94(constB162))),
% 50.39/32.85 inference(unit_resolution,[status(thm)],[20700, 405, 20694])).
% 50.39/32.85 tff(20702,plain,
% 50.39/32.85 (v84(constB162, bitIndex2)),
% 50.39/32.85 inference(unit_resolution,[status(thm)],[20701, 20680])).
% 50.39/32.85 tff(20703,plain,
% 50.39/32.85 ((~v1(constB163)) <=> (~v1(constB163))),
% 50.39/32.85 inference(rewrite,[status(thm)],[])).
% 50.39/32.85 tff(20704,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 50.39/32.85 tff(20705,plain,
% 50.39/32.85 (~v1(constB163)),
% 50.39/32.85 inference(modus_ponens,[status(thm)],[20704, 20703])).
% 50.39/32.86 tff(20706,plain,
% 50.39/32.86 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20707,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 50.39/32.86 tff(20708,plain,
% 50.39/32.86 (nextState(constB162, constB163)),
% 50.39/32.86 inference(modus_ponens,[status(thm)],[20707, 20706])).
% 50.39/32.86 tff(20709,plain,
% 50.39/32.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20710,plain,
% 50.39/32.86 (((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20711,plain,
% 50.39/32.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163))))),
% 50.39/32.86 inference(monotonicity,[status(thm)],[20710])).
% 50.39/32.86 tff(20712,plain,
% 50.39/32.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))),
% 50.39/32.86 inference(transitivity,[status(thm)],[20711, 20709])).
% 50.39/32.86 tff(20713,plain,
% 50.39/32.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163))),
% 50.39/32.86 inference(quant_inst,[status(thm)],[])).
% 50.39/32.86 tff(20714,plain,
% 50.39/32.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163))),
% 50.39/32.86 inference(modus_ponens,[status(thm)],[20713, 20712])).
% 50.39/32.86 tff(20715,plain,
% 50.39/32.86 (~v95(constB163)),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20714, 110, 20708, 20705])).
% 50.39/32.86 tff(20716,plain,
% 50.39/32.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163)))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20717,plain,
% 50.39/32.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163)))),
% 50.39/32.86 inference(quant_inst,[status(thm)],[])).
% 50.39/32.86 tff(20718,plain,
% 50.39/32.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163))),
% 50.39/32.86 inference(modus_ponens,[status(thm)],[20717, 20716])).
% 50.39/32.86 tff(20719,plain,
% 50.39/32.86 (v95(constB163) | (~v94(constB163))),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20718, 127, 20708])).
% 50.39/32.86 tff(20720,plain,
% 50.39/32.86 (~v94(constB163)),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20719, 20715])).
% 50.39/32.86 tff(20721,plain,
% 50.39/32.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex2))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20722,plain,
% 50.39/32.86 (((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex2)) | v94(constB163) | v84(constB163, bitIndex2)) <=> ((~v84(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex2))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20723,plain,
% 50.39/32.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex2)) | v94(constB163) | v84(constB163, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex2)))),
% 50.39/32.86 inference(monotonicity,[status(thm)],[20722])).
% 50.39/32.86 tff(20724,plain,
% 50.39/32.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex2)) | v94(constB163) | v84(constB163, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex2))),
% 50.39/32.86 inference(transitivity,[status(thm)],[20723, 20721])).
% 50.39/32.86 tff(20725,plain,
% 50.39/32.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex2)) | v94(constB163) | v84(constB163, bitIndex2))),
% 50.39/32.86 inference(quant_inst,[status(thm)],[])).
% 50.39/32.86 tff(20726,plain,
% 50.39/32.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex2)),
% 50.39/32.86 inference(modus_ponens,[status(thm)],[20725, 20724])).
% 50.39/32.86 tff(20727,plain,
% 50.39/32.86 ((~v84(constB162, bitIndex2)) | v94(constB163) | v84(constB163, bitIndex2)),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20726, 576, 20708])).
% 50.39/32.86 tff(20728,plain,
% 50.39/32.86 ((~v84(constB162, bitIndex2)) | v84(constB163, bitIndex2)),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20727, 20720])).
% 50.39/32.86 tff(20729,plain,
% 50.39/32.86 (v84(constB163, bitIndex2)),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20728, 20702])).
% 50.39/32.86 tff(20730,plain,
% 50.39/32.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB161)) | (~v124(constB161, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB161)) | (~v124(constB161, bitIndex1)))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20731,plain,
% 50.39/32.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB161)) | (~v124(constB161, bitIndex1)))),
% 50.39/32.86 inference(quant_inst,[status(thm)],[])).
% 50.39/32.86 tff(20732,plain,
% 50.39/32.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB161)) | (~v124(constB161, bitIndex1))),
% 50.39/32.86 inference(modus_ponens,[status(thm)],[20731, 20730])).
% 50.39/32.86 tff(20733,plain,
% 50.39/32.86 (~v124(constB161, bitIndex1)),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20732, 1979, 20599])).
% 50.39/32.86 tff(20734,plain,
% 50.39/32.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB161, bitIndex1)) | v26(constB161) | v124(constB161, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB161, bitIndex1)) | v26(constB161) | v124(constB161, bitIndex1))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20735,plain,
% 50.39/32.86 ((v26(constB161) | v124(constB161, bitIndex1) | (~v121(constB161, bitIndex1))) <=> ((~v121(constB161, bitIndex1)) | v26(constB161) | v124(constB161, bitIndex1))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20736,plain,
% 50.39/32.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB161) | v124(constB161, bitIndex1) | (~v121(constB161, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB161, bitIndex1)) | v26(constB161) | v124(constB161, bitIndex1)))),
% 50.39/32.86 inference(monotonicity,[status(thm)],[20735])).
% 50.39/32.86 tff(20737,plain,
% 50.39/32.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB161) | v124(constB161, bitIndex1) | (~v121(constB161, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB161, bitIndex1)) | v26(constB161) | v124(constB161, bitIndex1))),
% 50.39/32.86 inference(transitivity,[status(thm)],[20736, 20734])).
% 50.39/32.86 tff(20738,plain,
% 50.39/32.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB161) | v124(constB161, bitIndex1) | (~v121(constB161, bitIndex1)))),
% 50.39/32.86 inference(quant_inst,[status(thm)],[])).
% 50.39/32.86 tff(20739,plain,
% 50.39/32.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB161, bitIndex1)) | v26(constB161) | v124(constB161, bitIndex1)),
% 50.39/32.86 inference(modus_ponens,[status(thm)],[20738, 20737])).
% 50.39/32.86 tff(20740,plain,
% 50.39/32.86 ((~v121(constB161, bitIndex1)) | v124(constB161, bitIndex1)),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20739, 233, 20628])).
% 50.39/32.86 tff(20741,plain,
% 50.39/32.86 (~v121(constB161, bitIndex1)),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20740, 20733])).
% 50.39/32.86 tff(20742,plain,
% 50.39/32.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v121(constB161, bitIndex1) | (~v123(constB162, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB161, constB162)) | v121(constB161, bitIndex1) | (~v123(constB162, bitIndex1)))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20743,plain,
% 50.39/32.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v121(constB161, bitIndex1) | (~v123(constB162, bitIndex1)))),
% 50.39/32.86 inference(quant_inst,[status(thm)],[])).
% 50.39/32.86 tff(20744,plain,
% 50.39/32.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB161, constB162)) | v121(constB161, bitIndex1) | (~v123(constB162, bitIndex1))),
% 50.39/32.86 inference(modus_ponens,[status(thm)],[20743, 20742])).
% 50.39/32.86 tff(20745,plain,
% 50.39/32.86 (v121(constB161, bitIndex1) | (~v123(constB162, bitIndex1))),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20744, 254, 20646])).
% 50.39/32.86 tff(20746,plain,
% 50.39/32.86 (~v123(constB162, bitIndex1)),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20745, 20741])).
% 50.39/32.86 tff(20747,plain,
% 50.39/32.86 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | v123(constB162, bitIndex1) | (~v94(constB162)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB162, bitIndex1)) | v123(constB162, bitIndex1) | (~v94(constB162)))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20748,plain,
% 50.39/32.86 (((~v84(constB162, bitIndex1)) | (~v94(constB162)) | v123(constB162, bitIndex1)) <=> ((~v84(constB162, bitIndex1)) | v123(constB162, bitIndex1) | (~v94(constB162)))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20749,plain,
% 50.39/32.86 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | (~v94(constB162)) | v123(constB162, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | v123(constB162, bitIndex1) | (~v94(constB162))))),
% 50.39/32.86 inference(monotonicity,[status(thm)],[20748])).
% 50.39/32.86 tff(20750,plain,
% 50.39/32.86 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | (~v94(constB162)) | v123(constB162, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB162, bitIndex1)) | v123(constB162, bitIndex1) | (~v94(constB162)))),
% 50.39/32.86 inference(transitivity,[status(thm)],[20749, 20747])).
% 50.39/32.86 tff(20751,plain,
% 50.39/32.86 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | (~v94(constB162)) | v123(constB162, bitIndex1))),
% 50.39/32.86 inference(quant_inst,[status(thm)],[])).
% 50.39/32.86 tff(20752,plain,
% 50.39/32.86 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB162, bitIndex1)) | v123(constB162, bitIndex1) | (~v94(constB162))),
% 50.39/32.86 inference(modus_ponens,[status(thm)],[20751, 20750])).
% 50.39/32.86 tff(20753,plain,
% 50.39/32.86 ((~v84(constB162, bitIndex1)) | (~v94(constB162))),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20752, 532, 20746])).
% 50.39/32.86 tff(20754,plain,
% 50.39/32.86 (~v84(constB162, bitIndex1)),
% 50.39/32.86 inference(unit_resolution,[status(thm)],[20753, 20680])).
% 50.39/32.86 tff(20755,plain,
% 50.39/32.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex1)))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20756,plain,
% 50.39/32.86 (((~nextState(constB162, constB163)) | v84(constB162, bitIndex1) | v94(constB163) | (~v84(constB163, bitIndex1))) <=> (v84(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex1)))),
% 50.39/32.86 inference(rewrite,[status(thm)],[])).
% 50.39/32.86 tff(20757,plain,
% 50.39/32.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex1) | v94(constB163) | (~v84(constB163, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex1))))),
% 50.39/32.86 inference(monotonicity,[status(thm)],[20756])).
% 50.39/32.86 tff(20758,plain,
% 50.39/32.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex1) | v94(constB163) | (~v84(constB163, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex1)))),
% 50.39/32.86 inference(transitivity,[status(thm)],[20757, 20755])).
% 50.39/32.86 tff(20759,plain,
% 50.39/32.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex1) | v94(constB163) | (~v84(constB163, bitIndex1)))),
% 50.39/32.87 inference(quant_inst,[status(thm)],[])).
% 50.39/32.87 tff(20760,plain,
% 50.39/32.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex1))),
% 50.39/32.87 inference(modus_ponens,[status(thm)],[20759, 20758])).
% 50.39/32.87 tff(20761,plain,
% 50.39/32.87 (v84(constB162, bitIndex1) | v94(constB163) | (~v84(constB163, bitIndex1))),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20760, 163, 20708])).
% 50.39/32.87 tff(20762,plain,
% 50.39/32.87 (v84(constB162, bitIndex1) | (~v84(constB163, bitIndex1))),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20761, 20720])).
% 50.39/32.87 tff(20763,plain,
% 50.39/32.87 (~v84(constB163, bitIndex1)),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20762, 20754])).
% 50.39/32.87 tff(20764,plain,
% 50.39/32.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB161)) | (~v124(constB161, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB161)) | (~v124(constB161, bitIndex0)))),
% 50.39/32.87 inference(rewrite,[status(thm)],[])).
% 50.39/32.87 tff(20765,plain,
% 50.39/32.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB161)) | (~v124(constB161, bitIndex0)))),
% 50.39/32.87 inference(quant_inst,[status(thm)],[])).
% 50.39/32.87 tff(20766,plain,
% 50.39/32.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB161)) | (~v124(constB161, bitIndex0))),
% 50.39/32.87 inference(modus_ponens,[status(thm)],[20765, 20764])).
% 50.39/32.87 tff(20767,plain,
% 50.39/32.87 (~v124(constB161, bitIndex0)),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20766, 2020, 20599])).
% 50.39/32.87 tff(20768,plain,
% 50.39/32.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB161, bitIndex0)) | v26(constB161) | v124(constB161, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB161, bitIndex0)) | v26(constB161) | v124(constB161, bitIndex0))),
% 50.39/32.87 inference(rewrite,[status(thm)],[])).
% 50.39/32.87 tff(20769,plain,
% 50.39/32.87 ((v26(constB161) | v124(constB161, bitIndex0) | (~v121(constB161, bitIndex0))) <=> ((~v121(constB161, bitIndex0)) | v26(constB161) | v124(constB161, bitIndex0))),
% 50.39/32.87 inference(rewrite,[status(thm)],[])).
% 50.39/32.87 tff(20770,plain,
% 50.39/32.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB161) | v124(constB161, bitIndex0) | (~v121(constB161, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB161, bitIndex0)) | v26(constB161) | v124(constB161, bitIndex0)))),
% 50.39/32.87 inference(monotonicity,[status(thm)],[20769])).
% 50.39/32.87 tff(20771,plain,
% 50.39/32.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB161) | v124(constB161, bitIndex0) | (~v121(constB161, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB161, bitIndex0)) | v26(constB161) | v124(constB161, bitIndex0))),
% 50.39/32.87 inference(transitivity,[status(thm)],[20770, 20768])).
% 50.39/32.87 tff(20772,plain,
% 50.39/32.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB161) | v124(constB161, bitIndex0) | (~v121(constB161, bitIndex0)))),
% 50.39/32.87 inference(quant_inst,[status(thm)],[])).
% 50.39/32.87 tff(20773,plain,
% 50.39/32.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB161, bitIndex0)) | v26(constB161) | v124(constB161, bitIndex0)),
% 50.39/32.87 inference(modus_ponens,[status(thm)],[20772, 20771])).
% 50.39/32.87 tff(20774,plain,
% 50.39/32.87 ((~v121(constB161, bitIndex0)) | v124(constB161, bitIndex0)),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20773, 607, 20628])).
% 50.39/32.87 tff(20775,plain,
% 50.39/32.87 (~v121(constB161, bitIndex0)),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20774, 20767])).
% 50.39/32.87 tff(20776,plain,
% 50.39/32.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v121(constB161, bitIndex0) | (~v123(constB162, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB161, constB162)) | v121(constB161, bitIndex0) | (~v123(constB162, bitIndex0)))),
% 50.39/32.87 inference(rewrite,[status(thm)],[])).
% 50.39/32.87 tff(20777,plain,
% 50.39/32.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v121(constB161, bitIndex0) | (~v123(constB162, bitIndex0)))),
% 50.39/32.87 inference(quant_inst,[status(thm)],[])).
% 50.39/32.87 tff(20778,plain,
% 50.39/32.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB161, constB162)) | v121(constB161, bitIndex0) | (~v123(constB162, bitIndex0))),
% 50.39/32.87 inference(modus_ponens,[status(thm)],[20777, 20776])).
% 50.39/32.87 tff(20779,plain,
% 50.39/32.87 (v121(constB161, bitIndex0) | (~v123(constB162, bitIndex0))),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20778, 637, 20646])).
% 50.39/32.87 tff(20780,plain,
% 50.39/32.87 (~v123(constB162, bitIndex0)),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20779, 20775])).
% 50.39/32.87 tff(20781,plain,
% 50.39/32.87 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | v123(constB162, bitIndex0) | (~v94(constB162)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB162, bitIndex0)) | v123(constB162, bitIndex0) | (~v94(constB162)))),
% 50.39/32.87 inference(rewrite,[status(thm)],[])).
% 50.39/32.87 tff(20782,plain,
% 50.39/32.87 (((~v84(constB162, bitIndex0)) | (~v94(constB162)) | v123(constB162, bitIndex0)) <=> ((~v84(constB162, bitIndex0)) | v123(constB162, bitIndex0) | (~v94(constB162)))),
% 50.39/32.87 inference(rewrite,[status(thm)],[])).
% 50.39/32.87 tff(20783,plain,
% 50.39/32.87 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | (~v94(constB162)) | v123(constB162, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | v123(constB162, bitIndex0) | (~v94(constB162))))),
% 50.39/32.87 inference(monotonicity,[status(thm)],[20782])).
% 50.39/32.87 tff(20784,plain,
% 50.39/32.87 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | (~v94(constB162)) | v123(constB162, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB162, bitIndex0)) | v123(constB162, bitIndex0) | (~v94(constB162)))),
% 50.39/32.87 inference(transitivity,[status(thm)],[20783, 20781])).
% 50.39/32.87 tff(20785,plain,
% 50.39/32.87 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | (~v94(constB162)) | v123(constB162, bitIndex0))),
% 50.39/32.87 inference(quant_inst,[status(thm)],[])).
% 50.39/32.87 tff(20786,plain,
% 50.39/32.87 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB162, bitIndex0)) | v123(constB162, bitIndex0) | (~v94(constB162))),
% 50.39/32.87 inference(modus_ponens,[status(thm)],[20785, 20784])).
% 50.39/32.87 tff(20787,plain,
% 50.39/32.87 ((~v84(constB162, bitIndex0)) | (~v94(constB162))),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20786, 652, 20780])).
% 50.39/32.87 tff(20788,plain,
% 50.39/32.87 (~v84(constB162, bitIndex0)),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20787, 20680])).
% 50.39/32.87 tff(20789,plain,
% 50.39/32.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex0)))),
% 50.39/32.87 inference(rewrite,[status(thm)],[])).
% 50.39/32.87 tff(20790,plain,
% 50.39/32.87 (((~nextState(constB162, constB163)) | v84(constB162, bitIndex0) | v94(constB163) | (~v84(constB163, bitIndex0))) <=> (v84(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex0)))),
% 50.39/32.87 inference(rewrite,[status(thm)],[])).
% 50.39/32.87 tff(20791,plain,
% 50.39/32.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex0) | v94(constB163) | (~v84(constB163, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex0))))),
% 50.39/32.87 inference(monotonicity,[status(thm)],[20790])).
% 50.39/32.87 tff(20792,plain,
% 50.39/32.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex0) | v94(constB163) | (~v84(constB163, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex0)))),
% 50.39/32.87 inference(transitivity,[status(thm)],[20791, 20789])).
% 50.39/32.87 tff(20793,plain,
% 50.39/32.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex0) | v94(constB163) | (~v84(constB163, bitIndex0)))),
% 50.39/32.87 inference(quant_inst,[status(thm)],[])).
% 50.39/32.87 tff(20794,plain,
% 50.39/32.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex0))),
% 50.39/32.87 inference(modus_ponens,[status(thm)],[20793, 20792])).
% 50.39/32.87 tff(20795,plain,
% 50.39/32.87 (v84(constB162, bitIndex0) | v94(constB163) | (~v84(constB163, bitIndex0))),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20794, 184, 20708])).
% 50.39/32.87 tff(20796,plain,
% 50.39/32.87 (v84(constB162, bitIndex0) | (~v84(constB163, bitIndex0))),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20795, 20720])).
% 50.39/32.87 tff(20797,plain,
% 50.39/32.87 (~v84(constB163, bitIndex0)),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20796, 20788])).
% 50.39/32.87 tff(20798,plain,
% 50.39/32.87 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB163, bitIndex0) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex2)) | v172(constB163))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB163, bitIndex0) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex2)) | v172(constB163))),
% 50.39/32.87 inference(rewrite,[status(thm)],[])).
% 50.39/32.87 tff(20799,plain,
% 50.39/32.87 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB163, bitIndex0) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex2)) | v172(constB163))),
% 50.39/32.87 inference(quant_inst,[status(thm)],[])).
% 50.39/32.87 tff(20800,plain,
% 50.39/32.87 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB163, bitIndex0) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex2)) | v172(constB163)),
% 50.39/32.87 inference(modus_ponens,[status(thm)],[20799, 20798])).
% 50.39/32.87 tff(20801,plain,
% 50.39/32.87 (v172(constB163)),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20800, 679, 20797, 20763, 20729])).
% 50.39/32.87 tff(20802,plain,
% 50.39/32.87 ($false),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[20801, 13827])).
% 50.39/32.87 tff(20803,plain,(~(constB163 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.39/32.87 tff(20804,assumption,(constB53 = sK0_VarCurr), introduced(assumption)).
% 50.39/32.87 tff(20805,plain,
% 50.39/32.87 (v172(constB53) <=> v172(sK0_VarCurr)),
% 50.39/32.87 inference(monotonicity,[status(thm)],[20804])).
% 50.39/32.87 tff(20806,plain,
% 50.39/32.87 (v172(sK0_VarCurr) <=> v172(constB53)),
% 50.39/32.87 inference(symmetry,[status(thm)],[20805])).
% 50.39/32.87 tff(20807,plain,
% 50.39/32.87 ((~v172(sK0_VarCurr)) <=> (~v172(constB53))),
% 50.39/32.87 inference(monotonicity,[status(thm)],[20806])).
% 50.39/32.87 tff(20808,plain,
% 50.39/32.87 (~v172(constB53)),
% 50.39/32.87 inference(modus_ponens,[status(thm)],[46, 20807])).
% 50.39/32.87 tff(20809,plain,
% 50.39/32.87 ($false),
% 50.39/32.87 inference(unit_resolution,[status(thm)],[7493, 20808])).
% 50.39/32.87 tff(20810,plain,(~(constB53 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.39/32.87 tff(20811,assumption,(constB183 = sK0_VarCurr), introduced(assumption)).
% 50.39/32.87 tff(20812,plain,
% 50.39/32.87 (v172(constB183) <=> v172(sK0_VarCurr)),
% 50.39/32.87 inference(monotonicity,[status(thm)],[20811])).
% 50.39/32.87 tff(20813,plain,
% 50.39/32.87 (v172(sK0_VarCurr) <=> v172(constB183)),
% 50.39/32.87 inference(symmetry,[status(thm)],[20812])).
% 50.39/32.87 tff(20814,plain,
% 50.39/32.87 ((~v172(sK0_VarCurr)) <=> (~v172(constB183))),
% 50.39/32.87 inference(monotonicity,[status(thm)],[20813])).
% 50.39/32.87 tff(20815,plain,
% 50.39/32.87 (~v172(constB183)),
% 50.39/32.87 inference(modus_ponens,[status(thm)],[46, 20814])).
% 50.39/32.87 tff(20816,plain,
% 50.39/32.87 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB163) | (~v172(constB163)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB163) | (~v172(constB163)))),
% 50.39/32.87 inference(rewrite,[status(thm)],[])).
% 50.39/32.87 tff(20817,plain,
% 50.39/32.87 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB163) | (~v172(constB163)))),
% 50.39/32.87 inference(quant_inst,[status(thm)],[])).
% 50.39/32.87 tff(20818,plain,
% 50.39/32.87 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB163) | (~v172(constB163))),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20817, 20816])).
% 50.39/32.88 tff(20819,plain,
% 50.39/32.88 (v109(constB163)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20818, 740, 20801])).
% 50.39/32.88 tff(20820,plain,
% 50.39/32.88 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB163)) | v108(constB163))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20821,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB163)) | v108(constB163))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20822,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB163)) | v108(constB163)),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20821, 20820])).
% 50.39/32.88 tff(20823,plain,
% 50.39/32.88 (v108(constB163)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20822, 320, 20819])).
% 50.39/32.88 tff(20824,plain,
% 50.39/32.88 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB163) | (~v108(constB163)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB163) | (~v108(constB163)))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20825,plain,
% 50.39/32.88 (((~v108(constB163)) | v107(constB163)) <=> (v107(constB163) | (~v108(constB163)))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20826,plain,
% 50.39/32.88 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB163)) | v107(constB163))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB163) | (~v108(constB163))))),
% 50.39/32.88 inference(monotonicity,[status(thm)],[20825])).
% 50.39/32.88 tff(20827,plain,
% 50.39/32.88 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB163)) | v107(constB163))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB163) | (~v108(constB163)))),
% 50.39/32.88 inference(transitivity,[status(thm)],[20826, 20824])).
% 50.39/32.88 tff(20828,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB163)) | v107(constB163))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20829,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB163) | (~v108(constB163))),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20828, 20827])).
% 50.39/32.88 tff(20830,plain,
% 50.39/32.88 (v107(constB163)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20829, 334, 20823])).
% 50.39/32.88 tff(20831,assumption,(v26(constB163)), introduced(assumption)).
% 50.39/32.88 tff(20832,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB163))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20833,plain,
% 50.39/32.88 ($false),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20832, 55, 20831])).
% 50.39/32.88 tff(20834,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 50.39/32.88 tff(20835,plain,
% 50.39/32.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB163) | (~v107(constB163)) | v106(constB163))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB163) | (~v107(constB163)) | v106(constB163))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20836,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB163) | (~v107(constB163)) | v106(constB163))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20837,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB163) | (~v107(constB163)) | v106(constB163)),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20836, 20835])).
% 50.39/32.88 tff(20838,plain,
% 50.39/32.88 ((~v107(constB163)) | v106(constB163)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20837, 348, 20834])).
% 50.39/32.88 tff(20839,plain,
% 50.39/32.88 (v106(constB163)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20838, 20830])).
% 50.39/32.88 tff(20840,plain,
% 50.39/32.88 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB163) | (~v106(constB163)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB163) | (~v106(constB163)))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20841,plain,
% 50.39/32.88 (((~v106(constB163)) | v102(constB163)) <=> (v102(constB163) | (~v106(constB163)))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20842,plain,
% 50.39/32.88 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB163)) | v102(constB163))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB163) | (~v106(constB163))))),
% 50.39/32.88 inference(monotonicity,[status(thm)],[20841])).
% 50.39/32.88 tff(20843,plain,
% 50.39/32.88 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB163)) | v102(constB163))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB163) | (~v106(constB163)))),
% 50.39/32.88 inference(transitivity,[status(thm)],[20842, 20840])).
% 50.39/32.88 tff(20844,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB163)) | v102(constB163))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20845,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB163) | (~v106(constB163))),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20844, 20843])).
% 50.39/32.88 tff(20846,plain,
% 50.39/32.88 (v102(constB163)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20845, 504, 20839])).
% 50.39/32.88 tff(20847,plain,
% 50.39/32.88 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20848,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 50.39/32.88 tff(20849,plain,
% 50.39/32.88 (nextState(constB163, constB164)),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20848, 20847])).
% 50.39/32.88 tff(20850,plain,
% 50.39/32.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20851,plain,
% 50.39/32.88 (((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164)) <=> ((~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20852,plain,
% 50.39/32.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163))))),
% 50.39/32.88 inference(monotonicity,[status(thm)],[20851])).
% 50.39/32.88 tff(20853,plain,
% 50.39/32.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))),
% 50.39/32.88 inference(transitivity,[status(thm)],[20852, 20850])).
% 50.39/32.88 tff(20854,plain,
% 50.39/32.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20855,plain,
% 50.39/32.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163))),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20854, 20853])).
% 50.39/32.88 tff(20856,plain,
% 50.39/32.88 (v104(constB164) | (~v102(constB163))),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20855, 489, 20849])).
% 50.39/32.88 tff(20857,plain,
% 50.39/32.88 (v104(constB164)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20856, 20846])).
% 50.39/32.88 tff(20858,plain,
% 50.39/32.88 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164)))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20859,plain,
% 50.39/32.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164)))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20860,plain,
% 50.39/32.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164))),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20859, 20858])).
% 50.39/32.88 tff(20861,plain,
% 50.39/32.88 (~v98(constB164)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20860, 423, 20849, 20705])).
% 50.39/32.88 tff(20862,plain,
% 50.39/32.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB163, constB164)) | v96(constB164) | v98(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB163, constB164)) | v96(constB164) | v98(constB164))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20863,plain,
% 50.39/32.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB163, constB164)) | v96(constB164) | v98(constB164))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20864,plain,
% 50.39/32.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB163, constB164)) | v96(constB164) | v98(constB164)),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20863, 20862])).
% 50.39/32.88 tff(20865,plain,
% 50.39/32.88 (v96(constB164) | v98(constB164)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20864, 437, 20849])).
% 50.39/32.88 tff(20866,plain,
% 50.39/32.88 (v96(constB164)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20865, 20861])).
% 50.39/32.88 tff(20867,plain,
% 50.39/32.88 (v1(constB164) <=> v1(constB164)),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20868,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 50.39/32.88 tff(20869,plain,
% 50.39/32.88 (v1(constB164)),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20868, 20867])).
% 50.39/32.88 tff(20870,plain,
% 50.39/32.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164)))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20871,plain,
% 50.39/32.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164)))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20872,plain,
% 50.39/32.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164))),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20871, 20870])).
% 50.39/32.88 tff(20873,plain,
% 50.39/32.88 (v95(constB164) | (~v96(constB164))),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20872, 455, 20849, 20869])).
% 50.39/32.88 tff(20874,plain,
% 50.39/32.88 (v95(constB164)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20873, 20866])).
% 50.39/32.88 tff(20875,plain,
% 50.39/32.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20876,plain,
% 50.39/32.88 (((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164)) <=> ((~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20877,plain,
% 50.39/32.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164))))),
% 50.39/32.88 inference(monotonicity,[status(thm)],[20876])).
% 50.39/32.88 tff(20878,plain,
% 50.39/32.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))),
% 50.39/32.88 inference(transitivity,[status(thm)],[20877, 20875])).
% 50.39/32.88 tff(20879,plain,
% 50.39/32.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20880,plain,
% 50.39/32.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164))),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20879, 20878])).
% 50.39/32.88 tff(20881,plain,
% 50.39/32.88 (v94(constB164) | (~v95(constB164)) | (~v104(constB164))),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20880, 470, 20849])).
% 50.39/32.88 tff(20882,plain,
% 50.39/32.88 (v94(constB164) | (~v104(constB164))),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20881, 20874])).
% 50.39/32.88 tff(20883,plain,
% 50.39/32.88 (v94(constB164)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20882, 20857])).
% 50.39/32.88 tff(20884,plain,
% 50.39/32.88 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB163)) | v124(constB163, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB163)) | v124(constB163, bitIndex2))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20885,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB163)) | v124(constB163, bitIndex2))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20886,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB163)) | v124(constB163, bitIndex2)),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20885, 20884])).
% 50.39/32.88 tff(20887,plain,
% 50.39/32.88 (v124(constB163, bitIndex2)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20886, 691, 20801])).
% 50.39/32.88 tff(20888,plain,
% 50.39/32.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20889,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20890,plain,
% 50.39/32.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2)),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20889, 20888])).
% 50.39/32.88 tff(20891,plain,
% 50.39/32.88 ((~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20890, 374, 20834])).
% 50.39/32.88 tff(20892,plain,
% 50.39/32.88 (v121(constB163, bitIndex2)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20891, 20887])).
% 50.39/32.88 tff(20893,plain,
% 50.39/32.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2))),
% 50.39/32.88 inference(rewrite,[status(thm)],[])).
% 50.39/32.88 tff(20894,plain,
% 50.39/32.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2))),
% 50.39/32.88 inference(quant_inst,[status(thm)],[])).
% 50.39/32.88 tff(20895,plain,
% 50.39/32.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2)),
% 50.39/32.88 inference(modus_ponens,[status(thm)],[20894, 20893])).
% 50.39/32.88 tff(20896,plain,
% 50.39/32.88 ((~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20895, 389, 20849])).
% 50.39/32.88 tff(20897,plain,
% 50.39/32.88 (v123(constB164, bitIndex2)),
% 50.39/32.88 inference(unit_resolution,[status(thm)],[20896, 20892])).
% 50.39/32.88 tff(20898,plain,
% 50.39/32.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20899,plain,
% 50.39/32.89 ((v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2))) <=> (v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20900,plain,
% 50.39/32.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164))))),
% 50.39/32.89 inference(monotonicity,[status(thm)],[20899])).
% 50.39/32.89 tff(20901,plain,
% 50.39/32.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))),
% 50.39/32.89 inference(transitivity,[status(thm)],[20900, 20898])).
% 50.39/32.89 tff(20902,plain,
% 50.39/32.89 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2)))),
% 50.39/32.89 inference(quant_inst,[status(thm)],[])).
% 50.39/32.89 tff(20903,plain,
% 50.39/32.89 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164))),
% 50.39/32.89 inference(modus_ponens,[status(thm)],[20902, 20901])).
% 50.39/32.89 tff(20904,plain,
% 50.39/32.89 (v84(constB164, bitIndex2) | (~v94(constB164))),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20903, 405, 20897])).
% 50.39/32.89 tff(20905,plain,
% 50.39/32.89 (v84(constB164, bitIndex2)),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20904, 20883])).
% 50.39/32.89 tff(20906,plain,
% 50.39/32.89 ((~v1(constB165)) <=> (~v1(constB165))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20907,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 50.39/32.89 tff(20908,plain,
% 50.39/32.89 (~v1(constB165)),
% 50.39/32.89 inference(modus_ponens,[status(thm)],[20907, 20906])).
% 50.39/32.89 tff(20909,plain,
% 50.39/32.89 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20910,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 50.39/32.89 tff(20911,plain,
% 50.39/32.89 (nextState(constB164, constB165)),
% 50.39/32.89 inference(modus_ponens,[status(thm)],[20910, 20909])).
% 50.39/32.89 tff(20912,plain,
% 50.39/32.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20913,plain,
% 50.39/32.89 (((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20914,plain,
% 50.39/32.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165))))),
% 50.39/32.89 inference(monotonicity,[status(thm)],[20913])).
% 50.39/32.89 tff(20915,plain,
% 50.39/32.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))),
% 50.39/32.89 inference(transitivity,[status(thm)],[20914, 20912])).
% 50.39/32.89 tff(20916,plain,
% 50.39/32.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165))),
% 50.39/32.89 inference(quant_inst,[status(thm)],[])).
% 50.39/32.89 tff(20917,plain,
% 50.39/32.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165))),
% 50.39/32.89 inference(modus_ponens,[status(thm)],[20916, 20915])).
% 50.39/32.89 tff(20918,plain,
% 50.39/32.89 (~v95(constB165)),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20917, 110, 20911, 20908])).
% 50.39/32.89 tff(20919,plain,
% 50.39/32.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165)))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20920,plain,
% 50.39/32.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165)))),
% 50.39/32.89 inference(quant_inst,[status(thm)],[])).
% 50.39/32.89 tff(20921,plain,
% 50.39/32.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165))),
% 50.39/32.89 inference(modus_ponens,[status(thm)],[20920, 20919])).
% 50.39/32.89 tff(20922,plain,
% 50.39/32.89 (v95(constB165) | (~v94(constB165))),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20921, 127, 20911])).
% 50.39/32.89 tff(20923,plain,
% 50.39/32.89 (~v94(constB165)),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20922, 20918])).
% 50.39/32.89 tff(20924,plain,
% 50.39/32.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20925,plain,
% 50.39/32.89 (((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2)) <=> ((~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20926,plain,
% 50.39/32.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2)))),
% 50.39/32.89 inference(monotonicity,[status(thm)],[20925])).
% 50.39/32.89 tff(20927,plain,
% 50.39/32.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))),
% 50.39/32.89 inference(transitivity,[status(thm)],[20926, 20924])).
% 50.39/32.89 tff(20928,plain,
% 50.39/32.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2))),
% 50.39/32.89 inference(quant_inst,[status(thm)],[])).
% 50.39/32.89 tff(20929,plain,
% 50.39/32.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2)),
% 50.39/32.89 inference(modus_ponens,[status(thm)],[20928, 20927])).
% 50.39/32.89 tff(20930,plain,
% 50.39/32.89 ((~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2)),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20929, 576, 20911])).
% 50.39/32.89 tff(20931,plain,
% 50.39/32.89 ((~v84(constB164, bitIndex2)) | v84(constB165, bitIndex2)),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20930, 20923])).
% 50.39/32.89 tff(20932,plain,
% 50.39/32.89 (v84(constB165, bitIndex2)),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20931, 20905])).
% 50.39/32.89 tff(20933,plain,
% 50.39/32.89 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB163)) | v124(constB163, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB163)) | v124(constB163, bitIndex1))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20934,plain,
% 50.39/32.89 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB163)) | v124(constB163, bitIndex1))),
% 50.39/32.89 inference(quant_inst,[status(thm)],[])).
% 50.39/32.89 tff(20935,plain,
% 50.39/32.89 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB163)) | v124(constB163, bitIndex1)),
% 50.39/32.89 inference(modus_ponens,[status(thm)],[20934, 20933])).
% 50.39/32.89 tff(20936,plain,
% 50.39/32.89 (v124(constB163, bitIndex1)),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20935, 843, 20801])).
% 50.39/32.89 tff(20937,plain,
% 50.39/32.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB163) | (~v124(constB163, bitIndex1)) | v121(constB163, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB163) | (~v124(constB163, bitIndex1)) | v121(constB163, bitIndex1))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20938,plain,
% 50.39/32.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB163) | (~v124(constB163, bitIndex1)) | v121(constB163, bitIndex1))),
% 50.39/32.89 inference(quant_inst,[status(thm)],[])).
% 50.39/32.89 tff(20939,plain,
% 50.39/32.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB163) | (~v124(constB163, bitIndex1)) | v121(constB163, bitIndex1)),
% 50.39/32.89 inference(modus_ponens,[status(thm)],[20938, 20937])).
% 50.39/32.89 tff(20940,plain,
% 50.39/32.89 ((~v124(constB163, bitIndex1)) | v121(constB163, bitIndex1)),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20939, 857, 20834])).
% 50.39/32.89 tff(20941,plain,
% 50.39/32.89 (v121(constB163, bitIndex1)),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20940, 20936])).
% 50.39/32.89 tff(20942,plain,
% 50.39/32.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB163, constB164)) | (~v121(constB163, bitIndex1)) | v123(constB164, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB163, constB164)) | (~v121(constB163, bitIndex1)) | v123(constB164, bitIndex1))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20943,plain,
% 50.39/32.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB163, constB164)) | (~v121(constB163, bitIndex1)) | v123(constB164, bitIndex1))),
% 50.39/32.89 inference(quant_inst,[status(thm)],[])).
% 50.39/32.89 tff(20944,plain,
% 50.39/32.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB163, constB164)) | (~v121(constB163, bitIndex1)) | v123(constB164, bitIndex1)),
% 50.39/32.89 inference(modus_ponens,[status(thm)],[20943, 20942])).
% 50.39/32.89 tff(20945,plain,
% 50.39/32.89 ((~v121(constB163, bitIndex1)) | v123(constB164, bitIndex1)),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20944, 872, 20849])).
% 50.39/32.89 tff(20946,plain,
% 50.39/32.89 (v123(constB164, bitIndex1)),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20945, 20941])).
% 50.39/32.89 tff(20947,plain,
% 50.39/32.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~v123(constB164, bitIndex1)) | (~v94(constB164)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB164, bitIndex1) | (~v123(constB164, bitIndex1)) | (~v94(constB164)))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20948,plain,
% 50.39/32.89 ((v84(constB164, bitIndex1) | (~v94(constB164)) | (~v123(constB164, bitIndex1))) <=> (v84(constB164, bitIndex1) | (~v123(constB164, bitIndex1)) | (~v94(constB164)))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20949,plain,
% 50.39/32.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~v94(constB164)) | (~v123(constB164, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~v123(constB164, bitIndex1)) | (~v94(constB164))))),
% 50.39/32.89 inference(monotonicity,[status(thm)],[20948])).
% 50.39/32.89 tff(20950,plain,
% 50.39/32.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~v94(constB164)) | (~v123(constB164, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB164, bitIndex1) | (~v123(constB164, bitIndex1)) | (~v94(constB164)))),
% 50.39/32.89 inference(transitivity,[status(thm)],[20949, 20947])).
% 50.39/32.89 tff(20951,plain,
% 50.39/32.89 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~v94(constB164)) | (~v123(constB164, bitIndex1)))),
% 50.39/32.89 inference(quant_inst,[status(thm)],[])).
% 50.39/32.89 tff(20952,plain,
% 50.39/32.89 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB164, bitIndex1) | (~v123(constB164, bitIndex1)) | (~v94(constB164))),
% 50.39/32.89 inference(modus_ponens,[status(thm)],[20951, 20950])).
% 50.39/32.89 tff(20953,plain,
% 50.39/32.89 (v84(constB164, bitIndex1) | (~v94(constB164))),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20952, 887, 20946])).
% 50.39/32.89 tff(20954,plain,
% 50.39/32.89 (v84(constB164, bitIndex1)),
% 50.39/32.89 inference(unit_resolution,[status(thm)],[20953, 20883])).
% 50.39/32.89 tff(20955,plain,
% 50.39/32.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex1))),
% 50.39/32.89 inference(rewrite,[status(thm)],[])).
% 50.39/32.89 tff(20956,plain,
% 50.39/32.89 (((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex1)) | v94(constB165) | v84(constB165, bitIndex1)) <=> ((~v84(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex1))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(20957,plain,
% 50.39/32.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex1)) | v94(constB165) | v84(constB165, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex1)))),
% 50.39/32.90 inference(monotonicity,[status(thm)],[20956])).
% 50.39/32.90 tff(20958,plain,
% 50.39/32.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex1)) | v94(constB165) | v84(constB165, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex1))),
% 50.39/32.90 inference(transitivity,[status(thm)],[20957, 20955])).
% 50.39/32.90 tff(20959,plain,
% 50.39/32.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex1)) | v94(constB165) | v84(constB165, bitIndex1))),
% 50.39/32.90 inference(quant_inst,[status(thm)],[])).
% 50.39/32.90 tff(20960,plain,
% 50.39/32.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex1)),
% 50.39/32.90 inference(modus_ponens,[status(thm)],[20959, 20958])).
% 50.39/32.90 tff(20961,plain,
% 50.39/32.90 ((~v84(constB164, bitIndex1)) | v94(constB165) | v84(constB165, bitIndex1)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20960, 905, 20911])).
% 50.39/32.90 tff(20962,plain,
% 50.39/32.90 ((~v84(constB164, bitIndex1)) | v84(constB165, bitIndex1)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20961, 20923])).
% 50.39/32.90 tff(20963,plain,
% 50.39/32.90 (v84(constB165, bitIndex1)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20962, 20954])).
% 50.39/32.90 tff(20964,plain,
% 50.39/32.90 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB163)) | (~v124(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB163)) | (~v124(constB163, bitIndex0)))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(20965,plain,
% 50.39/32.90 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB163)) | (~v124(constB163, bitIndex0)))),
% 50.39/32.90 inference(quant_inst,[status(thm)],[])).
% 50.39/32.90 tff(20966,plain,
% 50.39/32.90 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB163)) | (~v124(constB163, bitIndex0))),
% 50.39/32.90 inference(modus_ponens,[status(thm)],[20965, 20964])).
% 50.39/32.90 tff(20967,plain,
% 50.39/32.90 (~v124(constB163, bitIndex0)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20966, 921, 20801])).
% 50.39/32.90 tff(20968,plain,
% 50.39/32.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(20969,plain,
% 50.39/32.90 ((v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0))) <=> ((~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(20970,plain,
% 50.39/32.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0)))),
% 50.39/32.90 inference(monotonicity,[status(thm)],[20969])).
% 50.39/32.90 tff(20971,plain,
% 50.39/32.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))),
% 50.39/32.90 inference(transitivity,[status(thm)],[20970, 20968])).
% 50.39/32.90 tff(20972,plain,
% 50.39/32.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0)))),
% 50.39/32.90 inference(quant_inst,[status(thm)],[])).
% 50.39/32.90 tff(20973,plain,
% 50.39/32.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0)),
% 50.39/32.90 inference(modus_ponens,[status(thm)],[20972, 20971])).
% 50.39/32.90 tff(20974,plain,
% 50.39/32.90 ((~v121(constB163, bitIndex0)) | v124(constB163, bitIndex0)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20973, 607, 20834])).
% 50.39/32.90 tff(20975,plain,
% 50.39/32.90 (~v121(constB163, bitIndex0)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20974, 20967])).
% 50.39/32.90 tff(20976,plain,
% 50.39/32.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0)))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(20977,plain,
% 50.39/32.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0)))),
% 50.39/32.90 inference(quant_inst,[status(thm)],[])).
% 50.39/32.90 tff(20978,plain,
% 50.39/32.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0))),
% 50.39/32.90 inference(modus_ponens,[status(thm)],[20977, 20976])).
% 50.39/32.90 tff(20979,plain,
% 50.39/32.90 (v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0))),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20978, 637, 20849])).
% 50.39/32.90 tff(20980,plain,
% 50.39/32.90 (~v123(constB164, bitIndex0)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20979, 20975])).
% 50.39/32.90 tff(20981,plain,
% 50.39/32.90 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(20982,plain,
% 50.39/32.90 (((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0)) <=> ((~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(20983,plain,
% 50.39/32.90 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164))))),
% 50.39/32.90 inference(monotonicity,[status(thm)],[20982])).
% 50.39/32.90 tff(20984,plain,
% 50.39/32.90 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))),
% 50.39/32.90 inference(transitivity,[status(thm)],[20983, 20981])).
% 50.39/32.90 tff(20985,plain,
% 50.39/32.90 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0))),
% 50.39/32.90 inference(quant_inst,[status(thm)],[])).
% 50.39/32.90 tff(20986,plain,
% 50.39/32.90 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164))),
% 50.39/32.90 inference(modus_ponens,[status(thm)],[20985, 20984])).
% 50.39/32.90 tff(20987,plain,
% 50.39/32.90 ((~v84(constB164, bitIndex0)) | (~v94(constB164))),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20986, 652, 20980])).
% 50.39/32.90 tff(20988,plain,
% 50.39/32.90 (~v84(constB164, bitIndex0)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20987, 20883])).
% 50.39/32.90 tff(20989,plain,
% 50.39/32.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(20990,plain,
% 50.39/32.90 (((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0))) <=> (v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(20991,plain,
% 50.39/32.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0))))),
% 50.39/32.90 inference(monotonicity,[status(thm)],[20990])).
% 50.39/32.90 tff(20992,plain,
% 50.39/32.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 50.39/32.90 inference(transitivity,[status(thm)],[20991, 20989])).
% 50.39/32.90 tff(20993,plain,
% 50.39/32.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 50.39/32.90 inference(quant_inst,[status(thm)],[])).
% 50.39/32.90 tff(20994,plain,
% 50.39/32.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0))),
% 50.39/32.90 inference(modus_ponens,[status(thm)],[20993, 20992])).
% 50.39/32.90 tff(20995,plain,
% 50.39/32.90 (v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0))),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20994, 184, 20911])).
% 50.39/32.90 tff(20996,plain,
% 50.39/32.90 (v84(constB164, bitIndex0) | (~v84(constB165, bitIndex0))),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20995, 20923])).
% 50.39/32.90 tff(20997,plain,
% 50.39/32.90 (~v84(constB165, bitIndex0)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[20996, 20988])).
% 50.39/32.90 tff(20998,plain,
% 50.39/32.90 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB165, bitIndex0) | (~v84(constB165, bitIndex1)) | (~v84(constB165, bitIndex2)) | v119(constB165))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB165, bitIndex0) | (~v84(constB165, bitIndex1)) | (~v84(constB165, bitIndex2)) | v119(constB165))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(20999,plain,
% 50.39/32.90 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB165, bitIndex0) | (~v84(constB165, bitIndex1)) | (~v84(constB165, bitIndex2)) | v119(constB165))),
% 50.39/32.90 inference(quant_inst,[status(thm)],[])).
% 50.39/32.90 tff(21000,plain,
% 50.39/32.90 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB165, bitIndex0) | (~v84(constB165, bitIndex1)) | (~v84(constB165, bitIndex2)) | v119(constB165)),
% 50.39/32.90 inference(modus_ponens,[status(thm)],[20999, 20998])).
% 50.39/32.90 tff(21001,plain,
% 50.39/32.90 (v119(constB165)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[21000, 965, 20997, 20963, 20932])).
% 50.39/32.90 tff(21002,plain,
% 50.39/32.90 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB165)) | v107(constB165))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB165)) | v107(constB165))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(21003,plain,
% 50.39/32.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB165)) | v107(constB165))),
% 50.39/32.90 inference(quant_inst,[status(thm)],[])).
% 50.39/32.90 tff(21004,plain,
% 50.39/32.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB165)) | v107(constB165)),
% 50.39/32.90 inference(modus_ponens,[status(thm)],[21003, 21002])).
% 50.39/32.90 tff(21005,plain,
% 50.39/32.90 (v107(constB165)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[21004, 976, 21001])).
% 50.39/32.90 tff(21006,assumption,(v26(constB165)), introduced(assumption)).
% 50.39/32.90 tff(21007,plain,
% 50.39/32.90 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB165))),
% 50.39/32.90 inference(quant_inst,[status(thm)],[])).
% 50.39/32.90 tff(21008,plain,
% 50.39/32.90 ($false),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[21007, 55, 21006])).
% 50.39/32.90 tff(21009,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 50.39/32.90 tff(21010,plain,
% 50.39/32.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB165) | (~v107(constB165)) | v106(constB165))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB165) | (~v107(constB165)) | v106(constB165))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(21011,plain,
% 50.39/32.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB165) | (~v107(constB165)) | v106(constB165))),
% 50.39/32.90 inference(quant_inst,[status(thm)],[])).
% 50.39/32.90 tff(21012,plain,
% 50.39/32.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB165) | (~v107(constB165)) | v106(constB165)),
% 50.39/32.90 inference(modus_ponens,[status(thm)],[21011, 21010])).
% 50.39/32.90 tff(21013,plain,
% 50.39/32.90 ((~v107(constB165)) | v106(constB165)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[21012, 348, 21009])).
% 50.39/32.90 tff(21014,plain,
% 50.39/32.90 (v106(constB165)),
% 50.39/32.90 inference(unit_resolution,[status(thm)],[21013, 21005])).
% 50.39/32.90 tff(21015,plain,
% 50.39/32.90 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB165) | (~v106(constB165)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB165) | (~v106(constB165)))),
% 50.39/32.90 inference(rewrite,[status(thm)],[])).
% 50.39/32.90 tff(21016,plain,
% 50.39/32.90 (((~v106(constB165)) | v102(constB165)) <=> (v102(constB165) | (~v106(constB165)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21017,plain,
% 50.39/32.91 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB165)) | v102(constB165))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB165) | (~v106(constB165))))),
% 50.39/32.91 inference(monotonicity,[status(thm)],[21016])).
% 50.39/32.91 tff(21018,plain,
% 50.39/32.91 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB165)) | v102(constB165))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB165) | (~v106(constB165)))),
% 50.39/32.91 inference(transitivity,[status(thm)],[21017, 21015])).
% 50.39/32.91 tff(21019,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB165)) | v102(constB165))),
% 50.39/32.91 inference(quant_inst,[status(thm)],[])).
% 50.39/32.91 tff(21020,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB165) | (~v106(constB165))),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21019, 21018])).
% 50.39/32.91 tff(21021,plain,
% 50.39/32.91 (v102(constB165)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21020, 504, 21014])).
% 50.39/32.91 tff(21022,plain,
% 50.39/32.91 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21023,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 50.39/32.91 tff(21024,plain,
% 50.39/32.91 (nextState(constB165, constB166)),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21023, 21022])).
% 50.39/32.91 tff(21025,plain,
% 50.39/32.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21026,plain,
% 50.39/32.91 (((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166)) <=> ((~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21027,plain,
% 50.39/32.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165))))),
% 50.39/32.91 inference(monotonicity,[status(thm)],[21026])).
% 50.39/32.91 tff(21028,plain,
% 50.39/32.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))),
% 50.39/32.91 inference(transitivity,[status(thm)],[21027, 21025])).
% 50.39/32.91 tff(21029,plain,
% 50.39/32.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166))),
% 50.39/32.91 inference(quant_inst,[status(thm)],[])).
% 50.39/32.91 tff(21030,plain,
% 50.39/32.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165))),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21029, 21028])).
% 50.39/32.91 tff(21031,plain,
% 50.39/32.91 (v104(constB166) | (~v102(constB165))),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21030, 489, 21024])).
% 50.39/32.91 tff(21032,plain,
% 50.39/32.91 (v104(constB166)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21031, 21021])).
% 50.39/32.91 tff(21033,plain,
% 50.39/32.91 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21034,plain,
% 50.39/32.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166)))),
% 50.39/32.91 inference(quant_inst,[status(thm)],[])).
% 50.39/32.91 tff(21035,plain,
% 50.39/32.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166))),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21034, 21033])).
% 50.39/32.91 tff(21036,plain,
% 50.39/32.91 (~v98(constB166)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21035, 423, 21024, 20908])).
% 50.39/32.91 tff(21037,plain,
% 50.39/32.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB165, constB166)) | v96(constB166) | v98(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB165, constB166)) | v96(constB166) | v98(constB166))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21038,plain,
% 50.39/32.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB165, constB166)) | v96(constB166) | v98(constB166))),
% 50.39/32.91 inference(quant_inst,[status(thm)],[])).
% 50.39/32.91 tff(21039,plain,
% 50.39/32.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB165, constB166)) | v96(constB166) | v98(constB166)),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21038, 21037])).
% 50.39/32.91 tff(21040,plain,
% 50.39/32.91 (v96(constB166) | v98(constB166)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21039, 437, 21024])).
% 50.39/32.91 tff(21041,plain,
% 50.39/32.91 (v96(constB166)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21040, 21036])).
% 50.39/32.91 tff(21042,plain,
% 50.39/32.91 (v1(constB166) <=> v1(constB166)),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21043,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 50.39/32.91 tff(21044,plain,
% 50.39/32.91 (v1(constB166)),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21043, 21042])).
% 50.39/32.91 tff(21045,plain,
% 50.39/32.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21046,plain,
% 50.39/32.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166)))),
% 50.39/32.91 inference(quant_inst,[status(thm)],[])).
% 50.39/32.91 tff(21047,plain,
% 50.39/32.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166))),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21046, 21045])).
% 50.39/32.91 tff(21048,plain,
% 50.39/32.91 (v95(constB166) | (~v96(constB166))),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21047, 455, 21024, 21044])).
% 50.39/32.91 tff(21049,plain,
% 50.39/32.91 (v95(constB166)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21048, 21041])).
% 50.39/32.91 tff(21050,plain,
% 50.39/32.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21051,plain,
% 50.39/32.91 (((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166)) <=> ((~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21052,plain,
% 50.39/32.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166))))),
% 50.39/32.91 inference(monotonicity,[status(thm)],[21051])).
% 50.39/32.91 tff(21053,plain,
% 50.39/32.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))),
% 50.39/32.91 inference(transitivity,[status(thm)],[21052, 21050])).
% 50.39/32.91 tff(21054,plain,
% 50.39/32.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166))),
% 50.39/32.91 inference(quant_inst,[status(thm)],[])).
% 50.39/32.91 tff(21055,plain,
% 50.39/32.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166))),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21054, 21053])).
% 50.39/32.91 tff(21056,plain,
% 50.39/32.91 (v94(constB166) | (~v95(constB166)) | (~v104(constB166))),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21055, 470, 21024])).
% 50.39/32.91 tff(21057,plain,
% 50.39/32.91 (v94(constB166) | (~v104(constB166))),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21056, 21049])).
% 50.39/32.91 tff(21058,plain,
% 50.39/32.91 (v94(constB166)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21057, 21032])).
% 50.39/32.91 tff(21059,plain,
% 50.39/32.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB165)) | (~v84(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB165)) | (~v84(constB165, bitIndex2)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21060,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB165)) | (~v84(constB165, bitIndex2)))),
% 50.39/32.91 inference(quant_inst,[status(thm)],[])).
% 50.39/32.91 tff(21061,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB165)) | (~v84(constB165, bitIndex2))),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21060, 21059])).
% 50.39/32.91 tff(21062,plain,
% 50.39/32.91 (~v115(constB165)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21061, 1036, 20932])).
% 50.39/32.91 tff(21063,plain,
% 50.39/32.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB165)) | (~v84(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB165)) | (~v84(constB165, bitIndex2)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21064,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB165)) | (~v84(constB165, bitIndex2)))),
% 50.39/32.91 inference(quant_inst,[status(thm)],[])).
% 50.39/32.91 tff(21065,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB165)) | (~v84(constB165, bitIndex2))),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21064, 21063])).
% 50.39/32.91 tff(21066,plain,
% 50.39/32.91 (~v116(constB165)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21065, 1047, 20932])).
% 50.39/32.91 tff(21067,plain,
% 50.39/32.91 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB165)) | (~v84(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB165)) | (~v84(constB165, bitIndex1)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21068,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB165)) | (~v84(constB165, bitIndex1)))),
% 50.39/32.91 inference(quant_inst,[status(thm)],[])).
% 50.39/32.91 tff(21069,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB165)) | (~v84(constB165, bitIndex1))),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21068, 21067])).
% 50.39/32.91 tff(21070,plain,
% 50.39/32.91 (~v113(constB165)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21069, 1058, 20963])).
% 50.39/32.91 tff(21071,plain,
% 50.39/32.91 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB165)) | (~v84(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB165)) | (~v84(constB165, bitIndex1)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21072,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB165)) | (~v84(constB165, bitIndex1)))),
% 50.39/32.91 inference(quant_inst,[status(thm)],[])).
% 50.39/32.91 tff(21073,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB165)) | (~v84(constB165, bitIndex1))),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21072, 21071])).
% 50.39/32.91 tff(21074,plain,
% 50.39/32.91 (~v118(constB165)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21073, 1069, 20963])).
% 50.39/32.91 tff(21075,plain,
% 50.39/32.91 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB165)) | (~v84(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB165)) | (~v84(constB165, bitIndex1)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21076,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB165)) | (~v84(constB165, bitIndex1)))),
% 50.39/32.91 inference(quant_inst,[status(thm)],[])).
% 50.39/32.91 tff(21077,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB165)) | (~v84(constB165, bitIndex1))),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21076, 21075])).
% 50.39/32.91 tff(21078,plain,
% 50.39/32.91 (~v172(constB165)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21077, 1080, 20963])).
% 50.39/32.91 tff(21079,plain,
% 50.39/32.91 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB165)) | (~v84(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB165)) | (~v84(constB165, bitIndex1)))),
% 50.39/32.91 inference(rewrite,[status(thm)],[])).
% 50.39/32.91 tff(21080,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB165)) | (~v84(constB165, bitIndex1)))),
% 50.39/32.91 inference(quant_inst,[status(thm)],[])).
% 50.39/32.91 tff(21081,plain,
% 50.39/32.91 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB165)) | (~v84(constB165, bitIndex1))),
% 50.39/32.91 inference(modus_ponens,[status(thm)],[21080, 21079])).
% 50.39/32.91 tff(21082,plain,
% 50.39/32.91 (~v145(constB165)),
% 50.39/32.91 inference(unit_resolution,[status(thm)],[21081, 1091, 20963])).
% 50.39/32.91 tff(21083,plain,
% 50.39/32.91 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | (~v124(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | (~v124(constB165, bitIndex2)))),
% 50.39/32.92 inference(rewrite,[status(thm)],[])).
% 50.39/32.92 tff(21084,plain,
% 50.39/32.92 ((v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex2))) <=> (v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | (~v124(constB165, bitIndex2)))),
% 50.39/32.92 inference(rewrite,[status(thm)],[])).
% 50.39/32.92 tff(21085,plain,
% 50.39/32.92 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | (~v124(constB165, bitIndex2))))),
% 50.39/32.92 inference(monotonicity,[status(thm)],[21084])).
% 50.39/32.92 tff(21086,plain,
% 50.39/32.92 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | (~v124(constB165, bitIndex2)))),
% 50.39/32.92 inference(transitivity,[status(thm)],[21085, 21083])).
% 50.39/32.92 tff(21087,plain,
% 50.39/32.92 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex2)))),
% 50.39/32.92 inference(quant_inst,[status(thm)],[])).
% 50.39/32.92 tff(21088,plain,
% 50.39/32.92 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | (~v124(constB165, bitIndex2))),
% 50.39/32.92 inference(modus_ponens,[status(thm)],[21087, 21086])).
% 50.39/32.92 tff(21089,plain,
% 50.39/32.92 (~v124(constB165, bitIndex2)),
% 50.39/32.92 inference(unit_resolution,[status(thm)],[21088, 1170, 21082, 21078, 21074, 21070, 21066, 21062])).
% 50.39/32.92 tff(21090,plain,
% 50.39/32.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB165, bitIndex2)) | v26(constB165) | v124(constB165, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB165, bitIndex2)) | v26(constB165) | v124(constB165, bitIndex2))),
% 50.39/32.92 inference(rewrite,[status(thm)],[])).
% 50.39/32.92 tff(21091,plain,
% 50.39/32.92 ((v26(constB165) | v124(constB165, bitIndex2) | (~v121(constB165, bitIndex2))) <=> ((~v121(constB165, bitIndex2)) | v26(constB165) | v124(constB165, bitIndex2))),
% 50.39/32.92 inference(rewrite,[status(thm)],[])).
% 50.39/32.92 tff(21092,plain,
% 50.39/32.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB165) | v124(constB165, bitIndex2) | (~v121(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB165, bitIndex2)) | v26(constB165) | v124(constB165, bitIndex2)))),
% 50.39/32.92 inference(monotonicity,[status(thm)],[21091])).
% 50.39/32.92 tff(21093,plain,
% 50.39/32.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB165) | v124(constB165, bitIndex2) | (~v121(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB165, bitIndex2)) | v26(constB165) | v124(constB165, bitIndex2))),
% 50.45/32.92 inference(transitivity,[status(thm)],[21092, 21090])).
% 50.45/32.92 tff(21094,plain,
% 50.45/32.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB165) | v124(constB165, bitIndex2) | (~v121(constB165, bitIndex2)))),
% 50.45/32.92 inference(quant_inst,[status(thm)],[])).
% 50.45/32.92 tff(21095,plain,
% 50.45/32.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB165, bitIndex2)) | v26(constB165) | v124(constB165, bitIndex2)),
% 50.45/32.92 inference(modus_ponens,[status(thm)],[21094, 21093])).
% 50.45/32.92 tff(21096,plain,
% 50.45/32.92 ((~v121(constB165, bitIndex2)) | v124(constB165, bitIndex2)),
% 50.45/32.92 inference(unit_resolution,[status(thm)],[21095, 1187, 21009])).
% 50.45/32.92 tff(21097,plain,
% 50.45/32.92 (~v121(constB165, bitIndex2)),
% 50.45/32.92 inference(unit_resolution,[status(thm)],[21096, 21089])).
% 50.45/32.92 tff(21098,plain,
% 50.45/32.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v121(constB165, bitIndex2) | (~v123(constB166, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB165, constB166)) | v121(constB165, bitIndex2) | (~v123(constB166, bitIndex2)))),
% 50.45/32.92 inference(rewrite,[status(thm)],[])).
% 50.45/32.92 tff(21099,plain,
% 50.45/32.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v121(constB165, bitIndex2) | (~v123(constB166, bitIndex2)))),
% 50.45/32.92 inference(quant_inst,[status(thm)],[])).
% 50.45/32.92 tff(21100,plain,
% 50.45/32.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB165, constB166)) | v121(constB165, bitIndex2) | (~v123(constB166, bitIndex2))),
% 50.45/32.92 inference(modus_ponens,[status(thm)],[21099, 21098])).
% 50.45/32.92 tff(21101,plain,
% 50.45/32.92 (v121(constB165, bitIndex2) | (~v123(constB166, bitIndex2))),
% 50.45/32.92 inference(unit_resolution,[status(thm)],[21100, 1205, 21024])).
% 50.45/32.92 tff(21102,plain,
% 50.45/32.92 (~v123(constB166, bitIndex2)),
% 50.45/32.92 inference(unit_resolution,[status(thm)],[21101, 21097])).
% 50.45/32.92 tff(21103,plain,
% 50.45/32.92 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB166, bitIndex2)) | v123(constB166, bitIndex2) | (~v94(constB166)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB166, bitIndex2)) | v123(constB166, bitIndex2) | (~v94(constB166)))),
% 50.45/32.92 inference(rewrite,[status(thm)],[])).
% 50.45/32.92 tff(21104,plain,
% 50.45/32.92 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB166, bitIndex2)) | v123(constB166, bitIndex2) | (~v94(constB166)))),
% 50.45/32.92 inference(quant_inst,[status(thm)],[])).
% 50.45/32.92 tff(21105,plain,
% 50.45/32.92 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB166, bitIndex2)) | v123(constB166, bitIndex2) | (~v94(constB166))),
% 50.45/32.92 inference(modus_ponens,[status(thm)],[21104, 21103])).
% 50.45/32.92 tff(21106,plain,
% 50.45/32.92 ((~v84(constB166, bitIndex2)) | (~v94(constB166))),
% 50.45/32.92 inference(unit_resolution,[status(thm)],[21105, 1220, 21102])).
% 50.45/32.92 tff(21107,plain,
% 50.45/32.92 (~v84(constB166, bitIndex2)),
% 50.45/32.92 inference(unit_resolution,[status(thm)],[21106, 21058])).
% 50.45/32.92 tff(21108,plain,
% 50.45/32.92 ((~v1(constB167)) <=> (~v1(constB167))),
% 50.45/32.92 inference(rewrite,[status(thm)],[])).
% 50.45/32.92 tff(21109,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 50.45/32.92 tff(21110,plain,
% 50.45/32.92 (~v1(constB167)),
% 50.45/32.92 inference(modus_ponens,[status(thm)],[21109, 21108])).
% 50.45/32.92 tff(21111,plain,
% 50.45/32.92 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 50.45/32.92 inference(rewrite,[status(thm)],[])).
% 50.45/32.92 tff(21112,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 50.45/32.92 tff(21113,plain,
% 50.45/32.92 (nextState(constB166, constB167)),
% 50.45/32.92 inference(modus_ponens,[status(thm)],[21112, 21111])).
% 50.45/32.92 tff(21114,plain,
% 50.45/32.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))),
% 50.45/32.92 inference(rewrite,[status(thm)],[])).
% 50.45/32.92 tff(21115,plain,
% 50.45/32.92 (((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))),
% 50.45/32.92 inference(rewrite,[status(thm)],[])).
% 50.45/32.92 tff(21116,plain,
% 50.45/32.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167))))),
% 50.45/32.92 inference(monotonicity,[status(thm)],[21115])).
% 50.45/32.92 tff(21117,plain,
% 50.45/32.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))),
% 50.45/32.92 inference(transitivity,[status(thm)],[21116, 21114])).
% 50.45/32.92 tff(21118,plain,
% 50.45/32.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167))),
% 50.45/32.92 inference(quant_inst,[status(thm)],[])).
% 50.45/32.92 tff(21119,plain,
% 50.45/32.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167))),
% 50.45/32.92 inference(modus_ponens,[status(thm)],[21118, 21117])).
% 50.45/32.92 tff(21120,plain,
% 50.45/32.92 (~v95(constB167)),
% 50.45/32.92 inference(unit_resolution,[status(thm)],[21119, 110, 21113, 21110])).
% 50.45/32.92 tff(21121,plain,
% 50.45/32.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167)))),
% 50.45/32.92 inference(rewrite,[status(thm)],[])).
% 50.45/32.92 tff(21122,plain,
% 50.45/32.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167)))),
% 50.45/32.92 inference(quant_inst,[status(thm)],[])).
% 50.45/32.92 tff(21123,plain,
% 50.45/32.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167))),
% 50.45/32.92 inference(modus_ponens,[status(thm)],[21122, 21121])).
% 50.45/32.92 tff(21124,plain,
% 50.45/32.92 (v95(constB167) | (~v94(constB167))),
% 50.45/32.92 inference(unit_resolution,[status(thm)],[21123, 127, 21113])).
% 50.45/32.92 tff(21125,plain,
% 50.45/32.92 (~v94(constB167)),
% 50.45/32.92 inference(unit_resolution,[status(thm)],[21124, 21120])).
% 50.45/32.92 tff(21126,plain,
% 50.45/32.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex2)))),
% 50.45/32.92 inference(rewrite,[status(thm)],[])).
% 50.45/32.92 tff(21127,plain,
% 50.45/32.92 (((~nextState(constB166, constB167)) | v84(constB166, bitIndex2) | v94(constB167) | (~v84(constB167, bitIndex2))) <=> (v84(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex2)))),
% 50.45/32.92 inference(rewrite,[status(thm)],[])).
% 50.45/32.92 tff(21128,plain,
% 50.45/32.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex2) | v94(constB167) | (~v84(constB167, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex2))))),
% 50.45/32.92 inference(monotonicity,[status(thm)],[21127])).
% 50.45/32.92 tff(21129,plain,
% 50.45/32.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex2) | v94(constB167) | (~v84(constB167, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex2)))),
% 50.45/32.92 inference(transitivity,[status(thm)],[21128, 21126])).
% 50.45/32.92 tff(21130,plain,
% 50.45/32.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex2) | v94(constB167) | (~v84(constB167, bitIndex2)))),
% 50.45/32.92 inference(quant_inst,[status(thm)],[])).
% 50.45/32.92 tff(21131,plain,
% 50.45/32.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex2))),
% 50.45/32.92 inference(modus_ponens,[status(thm)],[21130, 21129])).
% 50.45/32.92 tff(21132,plain,
% 50.45/32.92 (v84(constB166, bitIndex2) | v94(constB167) | (~v84(constB167, bitIndex2))),
% 50.45/32.92 inference(unit_resolution,[status(thm)],[21131, 142, 21113])).
% 50.45/32.92 tff(21133,plain,
% 50.45/32.92 (v84(constB166, bitIndex2) | (~v84(constB167, bitIndex2))),
% 50.45/32.92 inference(unit_resolution,[status(thm)],[21132, 21125])).
% 50.45/32.92 tff(21134,plain,
% 50.45/32.92 (~v84(constB167, bitIndex2)),
% 50.45/32.92 inference(unit_resolution,[status(thm)],[21133, 21107])).
% 50.45/32.92 tff(21135,plain,
% 50.45/32.92 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | (~v124(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | (~v124(constB165, bitIndex1)))),
% 50.45/32.92 inference(rewrite,[status(thm)],[])).
% 50.45/32.92 tff(21136,plain,
% 50.45/32.92 ((v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex1))) <=> (v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | (~v124(constB165, bitIndex1)))),
% 50.45/32.92 inference(rewrite,[status(thm)],[])).
% 50.45/32.92 tff(21137,plain,
% 50.45/32.92 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | (~v124(constB165, bitIndex1))))),
% 50.45/32.93 inference(monotonicity,[status(thm)],[21136])).
% 50.45/32.93 tff(21138,plain,
% 50.45/32.93 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | (~v124(constB165, bitIndex1)))),
% 50.45/32.93 inference(transitivity,[status(thm)],[21137, 21135])).
% 50.45/32.93 tff(21139,plain,
% 50.45/32.93 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex1)))),
% 50.45/32.93 inference(quant_inst,[status(thm)],[])).
% 50.45/32.93 tff(21140,plain,
% 50.45/32.93 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | (~v124(constB165, bitIndex1))),
% 50.45/32.93 inference(modus_ponens,[status(thm)],[21139, 21138])).
% 50.45/32.93 tff(21141,plain,
% 50.45/32.93 (~v124(constB165, bitIndex1)),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21140, 1105, 21082, 21078, 21074, 21070, 21066, 21062])).
% 50.45/32.93 tff(21142,plain,
% 50.45/32.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))),
% 50.45/32.93 inference(rewrite,[status(thm)],[])).
% 50.45/32.93 tff(21143,plain,
% 50.45/32.93 ((v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1))) <=> ((~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))),
% 50.45/32.93 inference(rewrite,[status(thm)],[])).
% 50.45/32.93 tff(21144,plain,
% 50.45/32.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1)))),
% 50.45/32.93 inference(monotonicity,[status(thm)],[21143])).
% 50.45/32.93 tff(21145,plain,
% 50.45/32.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))),
% 50.45/32.93 inference(transitivity,[status(thm)],[21144, 21142])).
% 50.45/32.93 tff(21146,plain,
% 50.45/32.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1)))),
% 50.45/32.93 inference(quant_inst,[status(thm)],[])).
% 50.45/32.93 tff(21147,plain,
% 50.45/32.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1)),
% 50.45/32.93 inference(modus_ponens,[status(thm)],[21146, 21145])).
% 50.45/32.93 tff(21148,plain,
% 50.45/32.93 ((~v121(constB165, bitIndex1)) | v124(constB165, bitIndex1)),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21147, 233, 21009])).
% 50.45/32.93 tff(21149,plain,
% 50.45/32.93 (~v121(constB165, bitIndex1)),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21148, 21141])).
% 50.45/32.93 tff(21150,plain,
% 50.45/32.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1)))),
% 50.45/32.93 inference(rewrite,[status(thm)],[])).
% 50.45/32.93 tff(21151,plain,
% 50.45/32.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1)))),
% 50.45/32.93 inference(quant_inst,[status(thm)],[])).
% 50.45/32.93 tff(21152,plain,
% 50.45/32.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1))),
% 50.45/32.93 inference(modus_ponens,[status(thm)],[21151, 21150])).
% 50.45/32.93 tff(21153,plain,
% 50.45/32.93 (v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1))),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21152, 254, 21024])).
% 50.45/32.93 tff(21154,plain,
% 50.45/32.93 (~v123(constB166, bitIndex1)),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21153, 21149])).
% 50.45/32.93 tff(21155,plain,
% 50.45/32.93 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))),
% 50.45/32.93 inference(rewrite,[status(thm)],[])).
% 50.45/32.93 tff(21156,plain,
% 50.45/32.93 (((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1)) <=> ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))),
% 50.45/32.93 inference(rewrite,[status(thm)],[])).
% 50.45/32.93 tff(21157,plain,
% 50.45/32.93 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166))))),
% 50.45/32.93 inference(monotonicity,[status(thm)],[21156])).
% 50.45/32.93 tff(21158,plain,
% 50.45/32.93 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))),
% 50.45/32.93 inference(transitivity,[status(thm)],[21157, 21155])).
% 50.45/32.93 tff(21159,plain,
% 50.45/32.93 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1))),
% 50.45/32.93 inference(quant_inst,[status(thm)],[])).
% 50.45/32.93 tff(21160,plain,
% 50.45/32.93 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166))),
% 50.45/32.93 inference(modus_ponens,[status(thm)],[21159, 21158])).
% 50.45/32.93 tff(21161,plain,
% 50.45/32.93 ((~v84(constB166, bitIndex1)) | (~v94(constB166))),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21160, 532, 21154])).
% 50.45/32.93 tff(21162,plain,
% 50.45/32.93 (~v84(constB166, bitIndex1)),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21161, 21058])).
% 50.45/32.93 tff(21163,plain,
% 50.45/32.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 50.45/32.93 inference(rewrite,[status(thm)],[])).
% 50.45/32.93 tff(21164,plain,
% 50.45/32.93 (((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1))) <=> (v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 50.45/32.93 inference(rewrite,[status(thm)],[])).
% 50.45/32.93 tff(21165,plain,
% 50.45/32.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1))))),
% 50.45/32.93 inference(monotonicity,[status(thm)],[21164])).
% 50.45/32.93 tff(21166,plain,
% 50.45/32.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 50.45/32.93 inference(transitivity,[status(thm)],[21165, 21163])).
% 50.45/32.93 tff(21167,plain,
% 50.45/32.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 50.45/32.93 inference(quant_inst,[status(thm)],[])).
% 50.45/32.93 tff(21168,plain,
% 50.45/32.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1))),
% 50.45/32.93 inference(modus_ponens,[status(thm)],[21167, 21166])).
% 50.45/32.93 tff(21169,plain,
% 50.45/32.93 (v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1))),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21168, 163, 21113])).
% 50.45/32.93 tff(21170,plain,
% 50.45/32.93 (v84(constB166, bitIndex1) | (~v84(constB167, bitIndex1))),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21169, 21125])).
% 50.45/32.93 tff(21171,plain,
% 50.45/32.93 (~v84(constB167, bitIndex1)),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21170, 21162])).
% 50.45/32.93 tff(21172,plain,
% 50.45/32.93 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | v124(constB165, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | v124(constB165, bitIndex0))),
% 50.45/32.93 inference(rewrite,[status(thm)],[])).
% 50.45/32.93 tff(21173,plain,
% 50.45/32.93 ((v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | v124(constB165, bitIndex0)) <=> (v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | v124(constB165, bitIndex0))),
% 50.45/32.93 inference(rewrite,[status(thm)],[])).
% 50.45/32.93 tff(21174,plain,
% 50.45/32.93 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | v124(constB165, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | v124(constB165, bitIndex0)))),
% 50.45/32.93 inference(monotonicity,[status(thm)],[21173])).
% 50.45/32.93 tff(21175,plain,
% 50.45/32.93 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | v124(constB165, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | v124(constB165, bitIndex0))),
% 50.45/32.93 inference(transitivity,[status(thm)],[21174, 21172])).
% 50.45/32.93 tff(21176,plain,
% 50.45/32.93 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | v124(constB165, bitIndex0))),
% 50.45/32.93 inference(quant_inst,[status(thm)],[])).
% 50.45/32.93 tff(21177,plain,
% 50.45/32.93 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v118(constB165) | v116(constB165) | v172(constB165) | v145(constB165) | v115(constB165) | v113(constB165) | v124(constB165, bitIndex0)),
% 50.45/32.93 inference(modus_ponens,[status(thm)],[21176, 21175])).
% 50.45/32.93 tff(21178,plain,
% 50.45/32.93 (v124(constB165, bitIndex0)),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21177, 1374, 21082, 21078, 21074, 21070, 21066, 21062])).
% 50.45/32.93 tff(21179,plain,
% 50.45/32.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0))),
% 50.45/32.93 inference(rewrite,[status(thm)],[])).
% 50.45/32.93 tff(21180,plain,
% 50.45/32.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0))),
% 50.45/32.93 inference(quant_inst,[status(thm)],[])).
% 50.45/32.93 tff(21181,plain,
% 50.45/32.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0)),
% 50.45/32.93 inference(modus_ponens,[status(thm)],[21180, 21179])).
% 50.45/32.93 tff(21182,plain,
% 50.45/32.93 ((~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0)),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21181, 1391, 21009])).
% 50.45/32.93 tff(21183,plain,
% 50.45/32.93 (v121(constB165, bitIndex0)),
% 50.45/32.93 inference(unit_resolution,[status(thm)],[21182, 21178])).
% 50.45/32.93 tff(21184,plain,
% 50.45/32.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0))),
% 50.45/32.93 inference(rewrite,[status(thm)],[])).
% 50.45/32.93 tff(21185,plain,
% 50.45/32.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21186,plain,
% 50.45/32.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0)),
% 50.45/32.94 inference(modus_ponens,[status(thm)],[21185, 21184])).
% 50.45/32.94 tff(21187,plain,
% 50.45/32.94 ((~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21186, 1406, 21024])).
% 50.45/32.94 tff(21188,plain,
% 50.45/32.94 (v123(constB166, bitIndex0)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21187, 21183])).
% 50.45/32.94 tff(21189,plain,
% 50.45/32.94 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21190,plain,
% 50.45/32.94 ((v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0))) <=> (v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21191,plain,
% 50.45/32.94 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166))))),
% 50.45/32.94 inference(monotonicity,[status(thm)],[21190])).
% 50.45/32.94 tff(21192,plain,
% 50.45/32.94 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))),
% 50.45/32.94 inference(transitivity,[status(thm)],[21191, 21189])).
% 50.45/32.94 tff(21193,plain,
% 50.45/32.94 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0)))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21194,plain,
% 50.45/32.94 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166))),
% 50.45/32.94 inference(modus_ponens,[status(thm)],[21193, 21192])).
% 50.45/32.94 tff(21195,plain,
% 50.45/32.94 (v84(constB166, bitIndex0) | (~v94(constB166))),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21194, 1421, 21188])).
% 50.45/32.94 tff(21196,plain,
% 50.45/32.94 (v84(constB166, bitIndex0)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21195, 21058])).
% 50.45/32.94 tff(21197,plain,
% 50.45/32.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21198,plain,
% 50.45/32.94 (((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0)) <=> ((~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21199,plain,
% 50.45/32.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0)))),
% 50.45/32.94 inference(monotonicity,[status(thm)],[21198])).
% 50.45/32.94 tff(21200,plain,
% 50.45/32.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))),
% 50.45/32.94 inference(transitivity,[status(thm)],[21199, 21197])).
% 50.45/32.94 tff(21201,plain,
% 50.45/32.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21202,plain,
% 50.45/32.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0)),
% 50.45/32.94 inference(modus_ponens,[status(thm)],[21201, 21200])).
% 50.45/32.94 tff(21203,plain,
% 50.45/32.94 ((~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21202, 1439, 21113])).
% 50.45/32.94 tff(21204,plain,
% 50.45/32.94 ((~v84(constB166, bitIndex0)) | v84(constB167, bitIndex0)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21203, 21125])).
% 50.45/32.94 tff(21205,plain,
% 50.45/32.94 (v84(constB167, bitIndex0)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21204, 21196])).
% 50.45/32.94 tff(21206,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | v84(constB167, bitIndex2) | v145(constB167))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | v84(constB167, bitIndex2) | v145(constB167))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21207,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | v84(constB167, bitIndex2) | v145(constB167))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21208,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | v84(constB167, bitIndex2) | v145(constB167)),
% 50.45/32.94 inference(modus_ponens,[status(thm)],[21207, 21206])).
% 50.45/32.94 tff(21209,plain,
% 50.45/32.94 (v145(constB167)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21208, 1268, 21205, 21171, 21134])).
% 50.45/32.94 tff(21210,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB167) | (~v145(constB167)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB167) | (~v145(constB167)))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21211,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB167) | (~v145(constB167)))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21212,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB167) | (~v145(constB167))),
% 50.45/32.94 inference(modus_ponens,[status(thm)],[21211, 21210])).
% 50.45/32.94 tff(21213,plain,
% 50.45/32.94 (v112(constB167)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21212, 1253, 21209])).
% 50.45/32.94 tff(21214,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB167)) | v111(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB167)) | v111(constB167))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21215,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB167)) | v111(constB167))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21216,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB167)) | v111(constB167)),
% 50.45/32.94 inference(modus_ponens,[status(thm)],[21215, 21214])).
% 50.45/32.94 tff(21217,plain,
% 50.45/32.94 (v111(constB167)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21216, 278, 21213])).
% 50.45/32.94 tff(21218,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB167)) | v110(constB167))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB167)) | v110(constB167))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21219,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB167)) | v110(constB167))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21220,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB167)) | v110(constB167)),
% 50.45/32.94 inference(modus_ponens,[status(thm)],[21219, 21218])).
% 50.45/32.94 tff(21221,plain,
% 50.45/32.94 (v110(constB167)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21220, 292, 21217])).
% 50.45/32.94 tff(21222,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB167) | (~v110(constB167)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB167) | (~v110(constB167)))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21223,plain,
% 50.45/32.94 (((~v110(constB167)) | v109(constB167)) <=> (v109(constB167) | (~v110(constB167)))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21224,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB167)) | v109(constB167))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB167) | (~v110(constB167))))),
% 50.45/32.94 inference(monotonicity,[status(thm)],[21223])).
% 50.45/32.94 tff(21225,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB167)) | v109(constB167))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB167) | (~v110(constB167)))),
% 50.45/32.94 inference(transitivity,[status(thm)],[21224, 21222])).
% 50.45/32.94 tff(21226,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB167)) | v109(constB167))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21227,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB167) | (~v110(constB167))),
% 50.45/32.94 inference(modus_ponens,[status(thm)],[21226, 21225])).
% 50.45/32.94 tff(21228,plain,
% 50.45/32.94 (v109(constB167)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21227, 306, 21221])).
% 50.45/32.94 tff(21229,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB167)) | v108(constB167))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21230,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB167)) | v108(constB167))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21231,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB167)) | v108(constB167)),
% 50.45/32.94 inference(modus_ponens,[status(thm)],[21230, 21229])).
% 50.45/32.94 tff(21232,plain,
% 50.45/32.94 (v108(constB167)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21231, 320, 21228])).
% 50.45/32.94 tff(21233,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB167) | (~v108(constB167)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB167) | (~v108(constB167)))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21234,plain,
% 50.45/32.94 (((~v108(constB167)) | v107(constB167)) <=> (v107(constB167) | (~v108(constB167)))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21235,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB167)) | v107(constB167))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB167) | (~v108(constB167))))),
% 50.45/32.94 inference(monotonicity,[status(thm)],[21234])).
% 50.45/32.94 tff(21236,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB167)) | v107(constB167))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB167) | (~v108(constB167)))),
% 50.45/32.94 inference(transitivity,[status(thm)],[21235, 21233])).
% 50.45/32.94 tff(21237,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB167)) | v107(constB167))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21238,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB167) | (~v108(constB167))),
% 50.45/32.94 inference(modus_ponens,[status(thm)],[21237, 21236])).
% 50.45/32.94 tff(21239,plain,
% 50.45/32.94 (v107(constB167)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21238, 334, 21232])).
% 50.45/32.94 tff(21240,assumption,(v26(constB167)), introduced(assumption)).
% 50.45/32.94 tff(21241,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB167))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21242,plain,
% 50.45/32.94 ($false),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21241, 55, 21240])).
% 50.45/32.94 tff(21243,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 50.45/32.94 tff(21244,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | (~v107(constB167)) | v106(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB167) | (~v107(constB167)) | v106(constB167))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21245,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | (~v107(constB167)) | v106(constB167))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21246,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB167) | (~v107(constB167)) | v106(constB167)),
% 50.45/32.94 inference(modus_ponens,[status(thm)],[21245, 21244])).
% 50.45/32.94 tff(21247,plain,
% 50.45/32.94 ((~v107(constB167)) | v106(constB167)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21246, 348, 21243])).
% 50.45/32.94 tff(21248,plain,
% 50.45/32.94 (v106(constB167)),
% 50.45/32.94 inference(unit_resolution,[status(thm)],[21247, 21239])).
% 50.45/32.94 tff(21249,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB167) | (~v106(constB167)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB167) | (~v106(constB167)))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21250,plain,
% 50.45/32.94 (((~v106(constB167)) | v102(constB167)) <=> (v102(constB167) | (~v106(constB167)))),
% 50.45/32.94 inference(rewrite,[status(thm)],[])).
% 50.45/32.94 tff(21251,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB167)) | v102(constB167))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB167) | (~v106(constB167))))),
% 50.45/32.94 inference(monotonicity,[status(thm)],[21250])).
% 50.45/32.94 tff(21252,plain,
% 50.45/32.94 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB167)) | v102(constB167))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB167) | (~v106(constB167)))),
% 50.45/32.94 inference(transitivity,[status(thm)],[21251, 21249])).
% 50.45/32.94 tff(21253,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB167)) | v102(constB167))),
% 50.45/32.94 inference(quant_inst,[status(thm)],[])).
% 50.45/32.94 tff(21254,plain,
% 50.45/32.94 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB167) | (~v106(constB167))),
% 50.45/32.94 inference(modus_ponens,[status(thm)],[21253, 21252])).
% 50.45/32.95 tff(21255,plain,
% 50.45/32.95 (v102(constB167)),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21254, 504, 21248])).
% 50.45/32.95 tff(21256,plain,
% 50.45/32.95 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21257,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 50.45/32.95 tff(21258,plain,
% 50.45/32.95 (nextState(constB167, constB168)),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21257, 21256])).
% 50.45/32.95 tff(21259,plain,
% 50.45/32.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21260,plain,
% 50.45/32.95 (((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168)) <=> ((~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21261,plain,
% 50.45/32.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167))))),
% 50.45/32.95 inference(monotonicity,[status(thm)],[21260])).
% 50.45/32.95 tff(21262,plain,
% 50.45/32.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))),
% 50.45/32.95 inference(transitivity,[status(thm)],[21261, 21259])).
% 50.45/32.95 tff(21263,plain,
% 50.45/32.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168))),
% 50.45/32.95 inference(quant_inst,[status(thm)],[])).
% 50.45/32.95 tff(21264,plain,
% 50.45/32.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167))),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21263, 21262])).
% 50.45/32.95 tff(21265,plain,
% 50.45/32.95 (v104(constB168) | (~v102(constB167))),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21264, 489, 21258])).
% 50.45/32.95 tff(21266,plain,
% 50.45/32.95 (v104(constB168)),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21265, 21255])).
% 50.45/32.95 tff(21267,plain,
% 50.45/32.95 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168)))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21268,plain,
% 50.45/32.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168)))),
% 50.45/32.95 inference(quant_inst,[status(thm)],[])).
% 50.45/32.95 tff(21269,plain,
% 50.45/32.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168))),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21268, 21267])).
% 50.45/32.95 tff(21270,plain,
% 50.45/32.95 (~v98(constB168)),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21269, 423, 21258, 21110])).
% 50.45/32.95 tff(21271,plain,
% 50.45/32.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB167, constB168)) | v96(constB168) | v98(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB167, constB168)) | v96(constB168) | v98(constB168))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21272,plain,
% 50.45/32.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB167, constB168)) | v96(constB168) | v98(constB168))),
% 50.45/32.95 inference(quant_inst,[status(thm)],[])).
% 50.45/32.95 tff(21273,plain,
% 50.45/32.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB167, constB168)) | v96(constB168) | v98(constB168)),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21272, 21271])).
% 50.45/32.95 tff(21274,plain,
% 50.45/32.95 (v96(constB168) | v98(constB168)),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21273, 437, 21258])).
% 50.45/32.95 tff(21275,plain,
% 50.45/32.95 (v96(constB168)),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21274, 21270])).
% 50.45/32.95 tff(21276,plain,
% 50.45/32.95 (v1(constB168) <=> v1(constB168)),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21277,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 50.45/32.95 tff(21278,plain,
% 50.45/32.95 (v1(constB168)),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21277, 21276])).
% 50.45/32.95 tff(21279,plain,
% 50.45/32.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168)))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21280,plain,
% 50.45/32.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168)))),
% 50.45/32.95 inference(quant_inst,[status(thm)],[])).
% 50.45/32.95 tff(21281,plain,
% 50.45/32.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168))),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21280, 21279])).
% 50.45/32.95 tff(21282,plain,
% 50.45/32.95 (v95(constB168) | (~v96(constB168))),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21281, 455, 21258, 21278])).
% 50.45/32.95 tff(21283,plain,
% 50.45/32.95 (v95(constB168)),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21282, 21275])).
% 50.45/32.95 tff(21284,plain,
% 50.45/32.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21285,plain,
% 50.45/32.95 (((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168)) <=> ((~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21286,plain,
% 50.45/32.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168))))),
% 50.45/32.95 inference(monotonicity,[status(thm)],[21285])).
% 50.45/32.95 tff(21287,plain,
% 50.45/32.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))),
% 50.45/32.95 inference(transitivity,[status(thm)],[21286, 21284])).
% 50.45/32.95 tff(21288,plain,
% 50.45/32.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168))),
% 50.45/32.95 inference(quant_inst,[status(thm)],[])).
% 50.45/32.95 tff(21289,plain,
% 50.45/32.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168))),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21288, 21287])).
% 50.45/32.95 tff(21290,plain,
% 50.45/32.95 (v94(constB168) | (~v95(constB168)) | (~v104(constB168))),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21289, 470, 21258])).
% 50.45/32.95 tff(21291,plain,
% 50.45/32.95 (v94(constB168) | (~v104(constB168))),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21290, 21283])).
% 50.45/32.95 tff(21292,plain,
% 50.45/32.95 (v94(constB168)),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21291, 21266])).
% 50.45/32.95 tff(21293,plain,
% 50.45/32.95 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB167)) | (~v124(constB167, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB167)) | (~v124(constB167, bitIndex2)))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21294,plain,
% 50.45/32.95 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB167)) | (~v124(constB167, bitIndex2)))),
% 50.45/32.95 inference(quant_inst,[status(thm)],[])).
% 50.45/32.95 tff(21295,plain,
% 50.45/32.95 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB167)) | (~v124(constB167, bitIndex2))),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21294, 21293])).
% 50.45/32.95 tff(21296,plain,
% 50.45/32.95 (~v124(constB167, bitIndex2)),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21295, 1456, 21209])).
% 50.45/32.95 tff(21297,plain,
% 50.45/32.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB167, bitIndex2)) | v26(constB167) | v124(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB167, bitIndex2)) | v26(constB167) | v124(constB167, bitIndex2))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21298,plain,
% 50.45/32.95 ((v26(constB167) | v124(constB167, bitIndex2) | (~v121(constB167, bitIndex2))) <=> ((~v121(constB167, bitIndex2)) | v26(constB167) | v124(constB167, bitIndex2))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21299,plain,
% 50.45/32.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB167) | v124(constB167, bitIndex2) | (~v121(constB167, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB167, bitIndex2)) | v26(constB167) | v124(constB167, bitIndex2)))),
% 50.45/32.95 inference(monotonicity,[status(thm)],[21298])).
% 50.45/32.95 tff(21300,plain,
% 50.45/32.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB167) | v124(constB167, bitIndex2) | (~v121(constB167, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB167, bitIndex2)) | v26(constB167) | v124(constB167, bitIndex2))),
% 50.45/32.95 inference(transitivity,[status(thm)],[21299, 21297])).
% 50.45/32.95 tff(21301,plain,
% 50.45/32.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB167) | v124(constB167, bitIndex2) | (~v121(constB167, bitIndex2)))),
% 50.45/32.95 inference(quant_inst,[status(thm)],[])).
% 50.45/32.95 tff(21302,plain,
% 50.45/32.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB167, bitIndex2)) | v26(constB167) | v124(constB167, bitIndex2)),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21301, 21300])).
% 50.45/32.95 tff(21303,plain,
% 50.45/32.95 ((~v121(constB167, bitIndex2)) | v124(constB167, bitIndex2)),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21302, 1187, 21243])).
% 50.45/32.95 tff(21304,plain,
% 50.45/32.95 (~v121(constB167, bitIndex2)),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21303, 21296])).
% 50.45/32.95 tff(21305,plain,
% 50.45/32.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v121(constB167, bitIndex2) | (~v123(constB168, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v121(constB167, bitIndex2) | (~v123(constB168, bitIndex2)))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21306,plain,
% 50.45/32.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v121(constB167, bitIndex2) | (~v123(constB168, bitIndex2)))),
% 50.45/32.95 inference(quant_inst,[status(thm)],[])).
% 50.45/32.95 tff(21307,plain,
% 50.45/32.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v121(constB167, bitIndex2) | (~v123(constB168, bitIndex2))),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21306, 21305])).
% 50.45/32.95 tff(21308,plain,
% 50.45/32.95 (v121(constB167, bitIndex2) | (~v123(constB168, bitIndex2))),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21307, 1205, 21258])).
% 50.45/32.95 tff(21309,plain,
% 50.45/32.95 (~v123(constB168, bitIndex2)),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21308, 21304])).
% 50.45/32.95 tff(21310,plain,
% 50.45/32.95 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB168, bitIndex2)) | v123(constB168, bitIndex2) | (~v94(constB168)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB168, bitIndex2)) | v123(constB168, bitIndex2) | (~v94(constB168)))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21311,plain,
% 50.45/32.95 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB168, bitIndex2)) | v123(constB168, bitIndex2) | (~v94(constB168)))),
% 50.45/32.95 inference(quant_inst,[status(thm)],[])).
% 50.45/32.95 tff(21312,plain,
% 50.45/32.95 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB168, bitIndex2)) | v123(constB168, bitIndex2) | (~v94(constB168))),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21311, 21310])).
% 50.45/32.95 tff(21313,plain,
% 50.45/32.95 ((~v84(constB168, bitIndex2)) | (~v94(constB168))),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21312, 1220, 21309])).
% 50.45/32.95 tff(21314,plain,
% 50.45/32.95 (~v84(constB168, bitIndex2)),
% 50.45/32.95 inference(unit_resolution,[status(thm)],[21313, 21292])).
% 50.45/32.95 tff(21315,plain,
% 50.45/32.95 ((~v1(constB169)) <=> (~v1(constB169))),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21316,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 50.45/32.95 tff(21317,plain,
% 50.45/32.95 (~v1(constB169)),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21316, 21315])).
% 50.45/32.95 tff(21318,plain,
% 50.45/32.95 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 50.45/32.95 inference(rewrite,[status(thm)],[])).
% 50.45/32.95 tff(21319,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 50.45/32.95 tff(21320,plain,
% 50.45/32.95 (nextState(constB168, constB169)),
% 50.45/32.95 inference(modus_ponens,[status(thm)],[21319, 21318])).
% 50.45/32.95 tff(21321,plain,
% 50.45/32.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))),
% 50.45/32.96 inference(rewrite,[status(thm)],[])).
% 50.45/32.96 tff(21322,plain,
% 50.45/32.96 (((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))),
% 50.45/32.96 inference(rewrite,[status(thm)],[])).
% 50.45/32.96 tff(21323,plain,
% 50.45/32.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169))))),
% 50.45/32.96 inference(monotonicity,[status(thm)],[21322])).
% 50.45/32.96 tff(21324,plain,
% 50.45/32.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))),
% 50.45/32.96 inference(transitivity,[status(thm)],[21323, 21321])).
% 50.45/32.96 tff(21325,plain,
% 50.45/32.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169))),
% 50.45/32.96 inference(quant_inst,[status(thm)],[])).
% 50.45/32.96 tff(21326,plain,
% 50.45/32.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169))),
% 50.45/32.96 inference(modus_ponens,[status(thm)],[21325, 21324])).
% 50.45/32.96 tff(21327,plain,
% 50.45/32.96 (~v95(constB169)),
% 50.45/32.96 inference(unit_resolution,[status(thm)],[21326, 110, 21320, 21317])).
% 50.45/32.96 tff(21328,plain,
% 50.45/32.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169)))),
% 50.45/32.96 inference(rewrite,[status(thm)],[])).
% 50.45/32.96 tff(21329,plain,
% 50.45/32.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169)))),
% 50.45/32.96 inference(quant_inst,[status(thm)],[])).
% 50.45/32.96 tff(21330,plain,
% 50.45/32.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169))),
% 50.45/32.96 inference(modus_ponens,[status(thm)],[21329, 21328])).
% 50.45/32.96 tff(21331,plain,
% 50.45/32.96 (v95(constB169) | (~v94(constB169))),
% 50.45/32.96 inference(unit_resolution,[status(thm)],[21330, 127, 21320])).
% 50.45/32.96 tff(21332,plain,
% 50.45/32.96 (~v94(constB169)),
% 50.45/32.96 inference(unit_resolution,[status(thm)],[21331, 21327])).
% 50.45/32.96 tff(21333,plain,
% 50.45/32.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex2)))),
% 50.45/32.96 inference(rewrite,[status(thm)],[])).
% 50.45/32.96 tff(21334,plain,
% 50.45/32.96 (((~nextState(constB168, constB169)) | v84(constB168, bitIndex2) | v94(constB169) | (~v84(constB169, bitIndex2))) <=> (v84(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex2)))),
% 50.45/32.96 inference(rewrite,[status(thm)],[])).
% 50.45/32.96 tff(21335,plain,
% 50.45/32.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex2) | v94(constB169) | (~v84(constB169, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex2))))),
% 50.45/32.96 inference(monotonicity,[status(thm)],[21334])).
% 50.45/32.96 tff(21336,plain,
% 50.45/32.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex2) | v94(constB169) | (~v84(constB169, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex2)))),
% 50.45/32.96 inference(transitivity,[status(thm)],[21335, 21333])).
% 50.45/32.96 tff(21337,plain,
% 50.45/32.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex2) | v94(constB169) | (~v84(constB169, bitIndex2)))),
% 50.45/32.96 inference(quant_inst,[status(thm)],[])).
% 50.45/32.96 tff(21338,plain,
% 50.45/32.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex2))),
% 50.45/32.96 inference(modus_ponens,[status(thm)],[21337, 21336])).
% 50.45/32.96 tff(21339,plain,
% 50.45/32.96 (v84(constB168, bitIndex2) | v94(constB169) | (~v84(constB169, bitIndex2))),
% 50.45/32.96 inference(unit_resolution,[status(thm)],[21338, 142, 21320])).
% 50.45/32.96 tff(21340,plain,
% 50.45/32.96 (v84(constB168, bitIndex2) | (~v84(constB169, bitIndex2))),
% 50.45/32.96 inference(unit_resolution,[status(thm)],[21339, 21332])).
% 50.45/32.96 tff(21341,plain,
% 50.45/32.96 (~v84(constB169, bitIndex2)),
% 50.45/32.96 inference(unit_resolution,[status(thm)],[21340, 21314])).
% 50.45/32.96 tff(21342,plain,
% 50.45/32.96 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB167)) | v124(constB167, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB167)) | v124(constB167, bitIndex1))),
% 50.45/32.96 inference(rewrite,[status(thm)],[])).
% 50.45/32.96 tff(21343,plain,
% 50.45/32.96 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB167)) | v124(constB167, bitIndex1))),
% 50.45/32.96 inference(quant_inst,[status(thm)],[])).
% 50.45/32.96 tff(21344,plain,
% 50.45/32.96 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB167)) | v124(constB167, bitIndex1)),
% 50.45/32.96 inference(modus_ponens,[status(thm)],[21343, 21342])).
% 50.45/32.96 tff(21345,plain,
% 50.45/32.96 (v124(constB167, bitIndex1)),
% 50.45/32.96 inference(unit_resolution,[status(thm)],[21344, 1512, 21209])).
% 50.45/32.96 tff(21346,plain,
% 50.45/32.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1))),
% 50.45/32.96 inference(rewrite,[status(thm)],[])).
% 50.45/32.96 tff(21347,plain,
% 50.45/32.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1))),
% 50.45/32.96 inference(quant_inst,[status(thm)],[])).
% 50.45/32.96 tff(21348,plain,
% 50.45/32.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1)),
% 50.45/32.96 inference(modus_ponens,[status(thm)],[21347, 21346])).
% 50.45/32.96 tff(21349,plain,
% 50.45/32.96 ((~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1)),
% 50.45/32.96 inference(unit_resolution,[status(thm)],[21348, 857, 21243])).
% 50.45/32.96 tff(21350,plain,
% 50.45/32.96 (v121(constB167, bitIndex1)),
% 50.45/32.96 inference(unit_resolution,[status(thm)],[21349, 21345])).
% 50.45/32.96 tff(21351,plain,
% 50.45/32.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1))),
% 50.45/32.96 inference(rewrite,[status(thm)],[])).
% 50.45/32.96 tff(21352,plain,
% 50.45/32.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1))),
% 50.45/32.96 inference(quant_inst,[status(thm)],[])).
% 50.45/32.96 tff(21353,plain,
% 50.45/32.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1)),
% 50.45/32.96 inference(modus_ponens,[status(thm)],[21352, 21351])).
% 50.45/32.96 tff(21354,plain,
% 50.45/32.96 ((~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1)),
% 50.45/32.96 inference(unit_resolution,[status(thm)],[21353, 872, 21258])).
% 50.45/32.96 tff(21355,plain,
% 50.45/32.96 (v123(constB168, bitIndex1)),
% 50.45/32.96 inference(unit_resolution,[status(thm)],[21354, 21350])).
% 50.45/32.96 tff(21356,plain,
% 50.45/32.96 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))),
% 50.45/32.96 inference(rewrite,[status(thm)],[])).
% 50.45/32.96 tff(21357,plain,
% 50.45/32.96 ((v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1))) <=> (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))),
% 50.45/32.96 inference(rewrite,[status(thm)],[])).
% 50.45/32.96 tff(21358,plain,
% 50.45/32.96 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168))))),
% 50.45/32.96 inference(monotonicity,[status(thm)],[21357])).
% 50.45/32.96 tff(21359,plain,
% 50.45/32.96 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))),
% 50.45/32.96 inference(transitivity,[status(thm)],[21358, 21356])).
% 50.45/32.96 tff(21360,plain,
% 50.45/32.96 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1)))),
% 50.45/32.96 inference(quant_inst,[status(thm)],[])).
% 50.45/32.96 tff(21361,plain,
% 50.45/32.96 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168))),
% 50.45/32.96 inference(modus_ponens,[status(thm)],[21360, 21359])).
% 50.45/32.96 tff(21362,plain,
% 50.45/32.96 (v84(constB168, bitIndex1) | (~v94(constB168))),
% 50.45/32.96 inference(unit_resolution,[status(thm)],[21361, 887, 21355])).
% 50.45/32.97 tff(21363,plain,
% 50.45/32.97 (v84(constB168, bitIndex1)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21362, 21292])).
% 50.45/32.97 tff(21364,plain,
% 50.45/32.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21365,plain,
% 50.45/32.97 (((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1)) <=> ((~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21366,plain,
% 50.45/32.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1)))),
% 50.45/32.97 inference(monotonicity,[status(thm)],[21365])).
% 50.45/32.97 tff(21367,plain,
% 50.45/32.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))),
% 50.45/32.97 inference(transitivity,[status(thm)],[21366, 21364])).
% 50.45/32.97 tff(21368,plain,
% 50.45/32.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1))),
% 50.45/32.97 inference(quant_inst,[status(thm)],[])).
% 50.45/32.97 tff(21369,plain,
% 50.45/32.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1)),
% 50.45/32.97 inference(modus_ponens,[status(thm)],[21368, 21367])).
% 50.45/32.97 tff(21370,plain,
% 50.45/32.97 ((~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21369, 905, 21320])).
% 50.45/32.97 tff(21371,plain,
% 50.45/32.97 ((~v84(constB168, bitIndex1)) | v84(constB169, bitIndex1)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21370, 21332])).
% 50.45/32.97 tff(21372,plain,
% 50.45/32.97 (v84(constB169, bitIndex1)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21371, 21363])).
% 50.45/32.97 tff(21373,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB167)) | (~v124(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB167)) | (~v124(constB167, bitIndex0)))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21374,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB167)) | (~v124(constB167, bitIndex0)))),
% 50.45/32.97 inference(quant_inst,[status(thm)],[])).
% 50.45/32.97 tff(21375,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB167)) | (~v124(constB167, bitIndex0))),
% 50.45/32.97 inference(modus_ponens,[status(thm)],[21374, 21373])).
% 50.45/32.97 tff(21376,plain,
% 50.45/32.97 (~v124(constB167, bitIndex0)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21375, 1550, 21209])).
% 50.45/32.97 tff(21377,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21378,plain,
% 50.45/32.97 ((v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0))) <=> ((~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21379,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0)))),
% 50.45/32.97 inference(monotonicity,[status(thm)],[21378])).
% 50.45/32.97 tff(21380,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))),
% 50.45/32.97 inference(transitivity,[status(thm)],[21379, 21377])).
% 50.45/32.97 tff(21381,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0)))),
% 50.45/32.97 inference(quant_inst,[status(thm)],[])).
% 50.45/32.97 tff(21382,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0)),
% 50.45/32.97 inference(modus_ponens,[status(thm)],[21381, 21380])).
% 50.45/32.97 tff(21383,plain,
% 50.45/32.97 ((~v121(constB167, bitIndex0)) | v124(constB167, bitIndex0)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21382, 607, 21243])).
% 50.45/32.97 tff(21384,plain,
% 50.45/32.97 (~v121(constB167, bitIndex0)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21383, 21376])).
% 50.45/32.97 tff(21385,plain,
% 50.45/32.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0)))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21386,plain,
% 50.45/32.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0)))),
% 50.45/32.97 inference(quant_inst,[status(thm)],[])).
% 50.45/32.97 tff(21387,plain,
% 50.45/32.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0))),
% 50.45/32.97 inference(modus_ponens,[status(thm)],[21386, 21385])).
% 50.45/32.97 tff(21388,plain,
% 50.45/32.97 (v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0))),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21387, 637, 21258])).
% 50.45/32.97 tff(21389,plain,
% 50.45/32.97 (~v123(constB168, bitIndex0)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21388, 21384])).
% 50.45/32.97 tff(21390,plain,
% 50.45/32.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21391,plain,
% 50.45/32.97 (((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0)) <=> ((~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21392,plain,
% 50.45/32.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168))))),
% 50.45/32.97 inference(monotonicity,[status(thm)],[21391])).
% 50.45/32.97 tff(21393,plain,
% 50.45/32.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))),
% 50.45/32.97 inference(transitivity,[status(thm)],[21392, 21390])).
% 50.45/32.97 tff(21394,plain,
% 50.45/32.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0))),
% 50.45/32.97 inference(quant_inst,[status(thm)],[])).
% 50.45/32.97 tff(21395,plain,
% 50.45/32.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168))),
% 50.45/32.97 inference(modus_ponens,[status(thm)],[21394, 21393])).
% 50.45/32.97 tff(21396,plain,
% 50.45/32.97 ((~v84(constB168, bitIndex0)) | (~v94(constB168))),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21395, 652, 21389])).
% 50.45/32.97 tff(21397,plain,
% 50.45/32.97 (~v84(constB168, bitIndex0)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21396, 21292])).
% 50.45/32.97 tff(21398,plain,
% 50.45/32.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21399,plain,
% 50.45/32.97 (((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0))) <=> (v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21400,plain,
% 50.45/32.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0))))),
% 50.45/32.97 inference(monotonicity,[status(thm)],[21399])).
% 50.45/32.97 tff(21401,plain,
% 50.45/32.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 50.45/32.97 inference(transitivity,[status(thm)],[21400, 21398])).
% 50.45/32.97 tff(21402,plain,
% 50.45/32.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 50.45/32.97 inference(quant_inst,[status(thm)],[])).
% 50.45/32.97 tff(21403,plain,
% 50.45/32.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0))),
% 50.45/32.97 inference(modus_ponens,[status(thm)],[21402, 21401])).
% 50.45/32.97 tff(21404,plain,
% 50.45/32.97 (v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0))),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21403, 184, 21320])).
% 50.45/32.97 tff(21405,plain,
% 50.45/32.97 (v84(constB168, bitIndex0) | (~v84(constB169, bitIndex0))),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21404, 21332])).
% 50.45/32.97 tff(21406,plain,
% 50.45/32.97 (~v84(constB169, bitIndex0)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21405, 21397])).
% 50.45/32.97 tff(21407,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex2) | v115(constB169))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex2) | v115(constB169))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21408,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex2) | v115(constB169))),
% 50.45/32.97 inference(quant_inst,[status(thm)],[])).
% 50.45/32.97 tff(21409,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex2) | v115(constB169)),
% 50.45/32.97 inference(modus_ponens,[status(thm)],[21408, 21407])).
% 50.45/32.97 tff(21410,plain,
% 50.45/32.97 (v115(constB169)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21409, 1594, 21406, 21372, 21341])).
% 50.45/32.97 tff(21411,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB169)) | v111(constB169))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB169)) | v111(constB169))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21412,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB169)) | v111(constB169))),
% 50.45/32.97 inference(quant_inst,[status(thm)],[])).
% 50.45/32.97 tff(21413,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB169)) | v111(constB169)),
% 50.45/32.97 inference(modus_ponens,[status(thm)],[21412, 21411])).
% 50.45/32.97 tff(21414,plain,
% 50.45/32.97 (v111(constB169)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21413, 1605, 21410])).
% 50.45/32.97 tff(21415,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB169) | (~v111(constB169)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB169) | (~v111(constB169)))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21416,plain,
% 50.45/32.97 (((~v111(constB169)) | v110(constB169)) <=> (v110(constB169) | (~v111(constB169)))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21417,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB169)) | v110(constB169))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB169) | (~v111(constB169))))),
% 50.45/32.97 inference(monotonicity,[status(thm)],[21416])).
% 50.45/32.97 tff(21418,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB169)) | v110(constB169))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB169) | (~v111(constB169)))),
% 50.45/32.97 inference(transitivity,[status(thm)],[21417, 21415])).
% 50.45/32.97 tff(21419,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB169)) | v110(constB169))),
% 50.45/32.97 inference(quant_inst,[status(thm)],[])).
% 50.45/32.97 tff(21420,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB169) | (~v111(constB169))),
% 50.45/32.97 inference(modus_ponens,[status(thm)],[21419, 21418])).
% 50.45/32.97 tff(21421,plain,
% 50.45/32.97 (v110(constB169)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21420, 292, 21414])).
% 50.45/32.97 tff(21422,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB169) | (~v110(constB169)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB169) | (~v110(constB169)))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21423,plain,
% 50.45/32.97 (((~v110(constB169)) | v109(constB169)) <=> (v109(constB169) | (~v110(constB169)))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21424,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB169)) | v109(constB169))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB169) | (~v110(constB169))))),
% 50.45/32.97 inference(monotonicity,[status(thm)],[21423])).
% 50.45/32.97 tff(21425,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB169)) | v109(constB169))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB169) | (~v110(constB169)))),
% 50.45/32.97 inference(transitivity,[status(thm)],[21424, 21422])).
% 50.45/32.97 tff(21426,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB169)) | v109(constB169))),
% 50.45/32.97 inference(quant_inst,[status(thm)],[])).
% 50.45/32.97 tff(21427,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB169) | (~v110(constB169))),
% 50.45/32.97 inference(modus_ponens,[status(thm)],[21426, 21425])).
% 50.45/32.97 tff(21428,plain,
% 50.45/32.97 (v109(constB169)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21427, 306, 21421])).
% 50.45/32.97 tff(21429,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB169)) | v108(constB169))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21430,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB169)) | v108(constB169))),
% 50.45/32.97 inference(quant_inst,[status(thm)],[])).
% 50.45/32.97 tff(21431,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB169)) | v108(constB169)),
% 50.45/32.97 inference(modus_ponens,[status(thm)],[21430, 21429])).
% 50.45/32.97 tff(21432,plain,
% 50.45/32.97 (v108(constB169)),
% 50.45/32.97 inference(unit_resolution,[status(thm)],[21431, 320, 21428])).
% 50.45/32.97 tff(21433,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB169) | (~v108(constB169)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB169) | (~v108(constB169)))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21434,plain,
% 50.45/32.97 (((~v108(constB169)) | v107(constB169)) <=> (v107(constB169) | (~v108(constB169)))),
% 50.45/32.97 inference(rewrite,[status(thm)],[])).
% 50.45/32.97 tff(21435,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB169)) | v107(constB169))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB169) | (~v108(constB169))))),
% 50.45/32.97 inference(monotonicity,[status(thm)],[21434])).
% 50.45/32.97 tff(21436,plain,
% 50.45/32.97 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB169)) | v107(constB169))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB169) | (~v108(constB169)))),
% 50.45/32.97 inference(transitivity,[status(thm)],[21435, 21433])).
% 50.45/32.97 tff(21437,plain,
% 50.45/32.97 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB169)) | v107(constB169))),
% 50.45/32.98 inference(quant_inst,[status(thm)],[])).
% 50.45/32.98 tff(21438,plain,
% 50.45/32.98 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB169) | (~v108(constB169))),
% 50.45/32.98 inference(modus_ponens,[status(thm)],[21437, 21436])).
% 50.45/32.98 tff(21439,plain,
% 50.45/32.98 (v107(constB169)),
% 50.45/32.98 inference(unit_resolution,[status(thm)],[21438, 334, 21432])).
% 50.45/32.98 tff(21440,assumption,(~v102(constB169)), introduced(assumption)).
% 50.45/32.98 tff(21441,plain,
% 50.45/32.98 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB169) | (~v106(constB169)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB169) | (~v106(constB169)))),
% 50.45/32.98 inference(rewrite,[status(thm)],[])).
% 50.45/32.98 tff(21442,plain,
% 50.45/32.98 (((~v106(constB169)) | v102(constB169)) <=> (v102(constB169) | (~v106(constB169)))),
% 50.45/32.98 inference(rewrite,[status(thm)],[])).
% 50.45/32.98 tff(21443,plain,
% 50.45/32.98 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB169)) | v102(constB169))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB169) | (~v106(constB169))))),
% 50.45/32.98 inference(monotonicity,[status(thm)],[21442])).
% 50.45/32.98 tff(21444,plain,
% 50.45/32.98 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB169)) | v102(constB169))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB169) | (~v106(constB169)))),
% 50.45/32.98 inference(transitivity,[status(thm)],[21443, 21441])).
% 50.45/32.98 tff(21445,plain,
% 50.45/32.98 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB169)) | v102(constB169))),
% 50.45/32.98 inference(quant_inst,[status(thm)],[])).
% 50.45/32.98 tff(21446,plain,
% 50.45/32.98 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB169) | (~v106(constB169))),
% 50.45/32.98 inference(modus_ponens,[status(thm)],[21445, 21444])).
% 50.45/32.98 tff(21447,plain,
% 50.45/32.98 (~v106(constB169)),
% 50.45/32.98 inference(unit_resolution,[status(thm)],[21446, 504, 21440])).
% 50.45/32.98 tff(21448,plain,
% 50.45/32.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB169) | (~v26(constB169)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB169) | (~v26(constB169)))),
% 50.45/32.98 inference(rewrite,[status(thm)],[])).
% 50.45/32.98 tff(21449,plain,
% 50.45/32.98 (((~v26(constB169)) | v102(constB169)) <=> (v102(constB169) | (~v26(constB169)))),
% 50.45/32.98 inference(rewrite,[status(thm)],[])).
% 50.45/32.98 tff(21450,plain,
% 50.45/32.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB169)) | v102(constB169))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB169) | (~v26(constB169))))),
% 50.45/32.98 inference(monotonicity,[status(thm)],[21449])).
% 50.45/32.98 tff(21451,plain,
% 50.45/32.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB169)) | v102(constB169))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB169) | (~v26(constB169)))),
% 50.45/32.98 inference(transitivity,[status(thm)],[21450, 21448])).
% 50.45/32.98 tff(21452,plain,
% 50.45/32.98 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB169)) | v102(constB169))),
% 50.45/32.98 inference(quant_inst,[status(thm)],[])).
% 50.45/32.98 tff(21453,plain,
% 50.45/32.98 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB169) | (~v26(constB169))),
% 50.45/32.98 inference(modus_ponens,[status(thm)],[21452, 21451])).
% 50.45/32.98 tff(21454,plain,
% 50.45/32.98 (~v26(constB169)),
% 50.45/32.98 inference(unit_resolution,[status(thm)],[21453, 723, 21440])).
% 50.45/32.98 tff(21455,assumption,(v107(constB169)), introduced(assumption)).
% 50.45/32.98 tff(21456,plain,
% 50.45/32.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB169) | (~v107(constB169)) | v106(constB169))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB169) | (~v107(constB169)) | v106(constB169))),
% 50.45/32.98 inference(rewrite,[status(thm)],[])).
% 50.45/32.98 tff(21457,plain,
% 50.45/32.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB169) | (~v107(constB169)) | v106(constB169))),
% 50.45/32.98 inference(quant_inst,[status(thm)],[])).
% 50.45/32.98 tff(21458,plain,
% 50.45/32.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB169) | (~v107(constB169)) | v106(constB169)),
% 50.51/32.98 inference(modus_ponens,[status(thm)],[21457, 21456])).
% 50.51/32.98 tff(21459,plain,
% 50.51/32.98 (v26(constB169) | v106(constB169)),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21458, 348, 21455])).
% 50.51/32.98 tff(21460,plain,
% 50.51/32.98 ($false),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21459, 21454, 21447])).
% 50.51/32.98 tff(21461,plain,(v102(constB169) | (~v107(constB169))), inference(lemma,lemma(discharge,[]))).
% 50.51/32.98 tff(21462,plain,
% 50.51/32.98 (v102(constB169)),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21461, 21439])).
% 50.51/32.98 tff(21463,plain,
% 50.51/32.98 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 50.51/32.98 inference(rewrite,[status(thm)],[])).
% 50.51/32.98 tff(21464,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 50.51/32.98 tff(21465,plain,
% 50.51/32.98 (nextState(constB169, constB170)),
% 50.51/32.98 inference(modus_ponens,[status(thm)],[21464, 21463])).
% 50.51/32.98 tff(21466,plain,
% 50.51/32.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))),
% 50.51/32.98 inference(rewrite,[status(thm)],[])).
% 50.51/32.98 tff(21467,plain,
% 50.51/32.98 (((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170)) <=> ((~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))),
% 50.51/32.98 inference(rewrite,[status(thm)],[])).
% 50.51/32.98 tff(21468,plain,
% 50.51/32.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169))))),
% 50.51/32.98 inference(monotonicity,[status(thm)],[21467])).
% 50.51/32.98 tff(21469,plain,
% 50.51/32.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))),
% 50.51/32.98 inference(transitivity,[status(thm)],[21468, 21466])).
% 50.51/32.98 tff(21470,plain,
% 50.51/32.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170))),
% 50.51/32.98 inference(quant_inst,[status(thm)],[])).
% 50.51/32.98 tff(21471,plain,
% 50.51/32.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169))),
% 50.51/32.98 inference(modus_ponens,[status(thm)],[21470, 21469])).
% 50.51/32.98 tff(21472,plain,
% 50.51/32.98 (v104(constB170) | (~v102(constB169))),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21471, 489, 21465])).
% 50.51/32.98 tff(21473,plain,
% 50.51/32.98 (v104(constB170)),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21472, 21462])).
% 50.51/32.98 tff(21474,plain,
% 50.51/32.98 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170)))),
% 50.51/32.98 inference(rewrite,[status(thm)],[])).
% 50.51/32.98 tff(21475,plain,
% 50.51/32.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170)))),
% 50.51/32.98 inference(quant_inst,[status(thm)],[])).
% 50.51/32.98 tff(21476,plain,
% 50.51/32.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170))),
% 50.51/32.98 inference(modus_ponens,[status(thm)],[21475, 21474])).
% 50.51/32.98 tff(21477,plain,
% 50.51/32.98 (~v98(constB170)),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21476, 423, 21465, 21317])).
% 50.51/32.98 tff(21478,plain,
% 50.51/32.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB169, constB170)) | v96(constB170) | v98(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB169, constB170)) | v96(constB170) | v98(constB170))),
% 50.51/32.98 inference(rewrite,[status(thm)],[])).
% 50.51/32.98 tff(21479,plain,
% 50.51/32.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB169, constB170)) | v96(constB170) | v98(constB170))),
% 50.51/32.98 inference(quant_inst,[status(thm)],[])).
% 50.51/32.98 tff(21480,plain,
% 50.51/32.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB169, constB170)) | v96(constB170) | v98(constB170)),
% 50.51/32.98 inference(modus_ponens,[status(thm)],[21479, 21478])).
% 50.51/32.98 tff(21481,plain,
% 50.51/32.98 (v96(constB170) | v98(constB170)),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21480, 437, 21465])).
% 50.51/32.98 tff(21482,plain,
% 50.51/32.98 (v96(constB170)),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21481, 21477])).
% 50.51/32.98 tff(21483,plain,
% 50.51/32.98 (v1(constB170) <=> v1(constB170)),
% 50.51/32.98 inference(rewrite,[status(thm)],[])).
% 50.51/32.98 tff(21484,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 50.51/32.98 tff(21485,plain,
% 50.51/32.98 (v1(constB170)),
% 50.51/32.98 inference(modus_ponens,[status(thm)],[21484, 21483])).
% 50.51/32.98 tff(21486,plain,
% 50.51/32.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170)))),
% 50.51/32.98 inference(rewrite,[status(thm)],[])).
% 50.51/32.98 tff(21487,plain,
% 50.51/32.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170)))),
% 50.51/32.98 inference(quant_inst,[status(thm)],[])).
% 50.51/32.98 tff(21488,plain,
% 50.51/32.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170))),
% 50.51/32.98 inference(modus_ponens,[status(thm)],[21487, 21486])).
% 50.51/32.98 tff(21489,plain,
% 50.51/32.98 (v95(constB170) | (~v96(constB170))),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21488, 455, 21465, 21485])).
% 50.51/32.98 tff(21490,plain,
% 50.51/32.98 (v95(constB170)),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21489, 21482])).
% 50.51/32.98 tff(21491,plain,
% 50.51/32.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))),
% 50.51/32.98 inference(rewrite,[status(thm)],[])).
% 50.51/32.98 tff(21492,plain,
% 50.51/32.98 (((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170)) <=> ((~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))),
% 50.51/32.98 inference(rewrite,[status(thm)],[])).
% 50.51/32.98 tff(21493,plain,
% 50.51/32.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170))))),
% 50.51/32.98 inference(monotonicity,[status(thm)],[21492])).
% 50.51/32.98 tff(21494,plain,
% 50.51/32.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))),
% 50.51/32.98 inference(transitivity,[status(thm)],[21493, 21491])).
% 50.51/32.98 tff(21495,plain,
% 50.51/32.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170))),
% 50.51/32.98 inference(quant_inst,[status(thm)],[])).
% 50.51/32.98 tff(21496,plain,
% 50.51/32.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170))),
% 50.51/32.98 inference(modus_ponens,[status(thm)],[21495, 21494])).
% 50.51/32.98 tff(21497,plain,
% 50.51/32.98 (v94(constB170) | (~v95(constB170)) | (~v104(constB170))),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21496, 470, 21465])).
% 50.51/32.98 tff(21498,plain,
% 50.51/32.98 (v94(constB170) | (~v104(constB170))),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21497, 21490])).
% 50.51/32.98 tff(21499,plain,
% 50.51/32.98 (v94(constB170)),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21498, 21473])).
% 50.51/32.98 tff(21500,plain,
% 50.51/32.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB169)) | (~v124(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB169)) | (~v124(constB169, bitIndex2)))),
% 50.51/32.98 inference(rewrite,[status(thm)],[])).
% 50.51/32.98 tff(21501,plain,
% 50.51/32.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB169)) | (~v124(constB169, bitIndex2)))),
% 50.51/32.98 inference(quant_inst,[status(thm)],[])).
% 50.51/32.98 tff(21502,plain,
% 50.51/32.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB169)) | (~v124(constB169, bitIndex2))),
% 50.51/32.98 inference(modus_ponens,[status(thm)],[21501, 21500])).
% 50.51/32.98 tff(21503,plain,
% 50.51/32.98 (~v124(constB169, bitIndex2)),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21502, 1690, 21410])).
% 50.51/32.98 tff(21504,assumption,(v26(constB169)), introduced(assumption)).
% 50.51/32.98 tff(21505,plain,
% 50.51/32.98 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB169))),
% 50.51/32.98 inference(quant_inst,[status(thm)],[])).
% 50.51/32.98 tff(21506,plain,
% 50.51/32.98 ($false),
% 50.51/32.98 inference(unit_resolution,[status(thm)],[21505, 55, 21504])).
% 50.51/32.98 tff(21507,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 50.51/32.98 tff(21508,plain,
% 50.51/32.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))),
% 50.51/32.98 inference(rewrite,[status(thm)],[])).
% 50.51/32.98 tff(21509,plain,
% 50.51/32.98 ((v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2))) <=> ((~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))),
% 50.51/32.98 inference(rewrite,[status(thm)],[])).
% 50.51/32.98 tff(21510,plain,
% 50.51/32.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2)))),
% 50.51/32.99 inference(monotonicity,[status(thm)],[21509])).
% 50.51/32.99 tff(21511,plain,
% 50.51/32.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))),
% 50.51/32.99 inference(transitivity,[status(thm)],[21510, 21508])).
% 50.51/32.99 tff(21512,plain,
% 50.51/32.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2)))),
% 50.51/32.99 inference(quant_inst,[status(thm)],[])).
% 50.51/32.99 tff(21513,plain,
% 50.51/32.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2)),
% 50.51/32.99 inference(modus_ponens,[status(thm)],[21512, 21511])).
% 50.51/32.99 tff(21514,plain,
% 50.51/32.99 ((~v121(constB169, bitIndex2)) | v124(constB169, bitIndex2)),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21513, 1187, 21507])).
% 50.51/32.99 tff(21515,plain,
% 50.51/32.99 (~v121(constB169, bitIndex2)),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21514, 21503])).
% 50.51/32.99 tff(21516,plain,
% 50.51/32.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2)))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21517,plain,
% 50.51/32.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2)))),
% 50.51/32.99 inference(quant_inst,[status(thm)],[])).
% 50.51/32.99 tff(21518,plain,
% 50.51/32.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2))),
% 50.51/32.99 inference(modus_ponens,[status(thm)],[21517, 21516])).
% 50.51/32.99 tff(21519,plain,
% 50.51/32.99 (v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2))),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21518, 1205, 21465])).
% 50.51/32.99 tff(21520,plain,
% 50.51/32.99 (~v123(constB170, bitIndex2)),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21519, 21515])).
% 50.51/32.99 tff(21521,plain,
% 50.51/32.99 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21522,plain,
% 50.51/32.99 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))),
% 50.51/32.99 inference(quant_inst,[status(thm)],[])).
% 50.51/32.99 tff(21523,plain,
% 50.51/32.99 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170))),
% 50.51/32.99 inference(modus_ponens,[status(thm)],[21522, 21521])).
% 50.51/32.99 tff(21524,plain,
% 50.51/32.99 ((~v84(constB170, bitIndex2)) | (~v94(constB170))),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21523, 1220, 21520])).
% 50.51/32.99 tff(21525,plain,
% 50.51/32.99 (~v84(constB170, bitIndex2)),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21524, 21499])).
% 50.51/32.99 tff(21526,plain,
% 50.51/32.99 ((~v1(constB171)) <=> (~v1(constB171))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21527,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 50.51/32.99 tff(21528,plain,
% 50.51/32.99 (~v1(constB171)),
% 50.51/32.99 inference(modus_ponens,[status(thm)],[21527, 21526])).
% 50.51/32.99 tff(21529,plain,
% 50.51/32.99 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21530,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 50.51/32.99 tff(21531,plain,
% 50.51/32.99 (nextState(constB170, constB171)),
% 50.51/32.99 inference(modus_ponens,[status(thm)],[21530, 21529])).
% 50.51/32.99 tff(21532,plain,
% 50.51/32.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21533,plain,
% 50.51/32.99 (((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21534,plain,
% 50.51/32.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171))))),
% 50.51/32.99 inference(monotonicity,[status(thm)],[21533])).
% 50.51/32.99 tff(21535,plain,
% 50.51/32.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))),
% 50.51/32.99 inference(transitivity,[status(thm)],[21534, 21532])).
% 50.51/32.99 tff(21536,plain,
% 50.51/32.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171))),
% 50.51/32.99 inference(quant_inst,[status(thm)],[])).
% 50.51/32.99 tff(21537,plain,
% 50.51/32.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171))),
% 50.51/32.99 inference(modus_ponens,[status(thm)],[21536, 21535])).
% 50.51/32.99 tff(21538,plain,
% 50.51/32.99 (~v95(constB171)),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21537, 110, 21531, 21528])).
% 50.51/32.99 tff(21539,plain,
% 50.51/32.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171)))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21540,plain,
% 50.51/32.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171)))),
% 50.51/32.99 inference(quant_inst,[status(thm)],[])).
% 50.51/32.99 tff(21541,plain,
% 50.51/32.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171))),
% 50.51/32.99 inference(modus_ponens,[status(thm)],[21540, 21539])).
% 50.51/32.99 tff(21542,plain,
% 50.51/32.99 (v95(constB171) | (~v94(constB171))),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21541, 127, 21531])).
% 50.51/32.99 tff(21543,plain,
% 50.51/32.99 (~v94(constB171)),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21542, 21538])).
% 50.51/32.99 tff(21544,plain,
% 50.51/32.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21545,plain,
% 50.51/32.99 (((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2))) <=> (v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21546,plain,
% 50.51/32.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2))))),
% 50.51/32.99 inference(monotonicity,[status(thm)],[21545])).
% 50.51/32.99 tff(21547,plain,
% 50.51/32.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 50.51/32.99 inference(transitivity,[status(thm)],[21546, 21544])).
% 50.51/32.99 tff(21548,plain,
% 50.51/32.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 50.51/32.99 inference(quant_inst,[status(thm)],[])).
% 50.51/32.99 tff(21549,plain,
% 50.51/32.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2))),
% 50.51/32.99 inference(modus_ponens,[status(thm)],[21548, 21547])).
% 50.51/32.99 tff(21550,plain,
% 50.51/32.99 (v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2))),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21549, 142, 21531])).
% 50.51/32.99 tff(21551,plain,
% 50.51/32.99 (v84(constB170, bitIndex2) | (~v84(constB171, bitIndex2))),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21550, 21543])).
% 50.51/32.99 tff(21552,plain,
% 50.51/32.99 (~v84(constB171, bitIndex2)),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21551, 21525])).
% 50.51/32.99 tff(21553,plain,
% 50.51/32.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB169)) | v124(constB169, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB169)) | v124(constB169, bitIndex1))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21554,plain,
% 50.51/32.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB169)) | v124(constB169, bitIndex1))),
% 50.51/32.99 inference(quant_inst,[status(thm)],[])).
% 50.51/32.99 tff(21555,plain,
% 50.51/32.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB169)) | v124(constB169, bitIndex1)),
% 50.51/32.99 inference(modus_ponens,[status(thm)],[21554, 21553])).
% 50.51/32.99 tff(21556,plain,
% 50.51/32.99 (v124(constB169, bitIndex1)),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21555, 1746, 21410])).
% 50.51/32.99 tff(21557,plain,
% 50.51/32.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB169) | (~v124(constB169, bitIndex1)) | v121(constB169, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB169) | (~v124(constB169, bitIndex1)) | v121(constB169, bitIndex1))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21558,plain,
% 50.51/32.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB169) | (~v124(constB169, bitIndex1)) | v121(constB169, bitIndex1))),
% 50.51/32.99 inference(quant_inst,[status(thm)],[])).
% 50.51/32.99 tff(21559,plain,
% 50.51/32.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB169) | (~v124(constB169, bitIndex1)) | v121(constB169, bitIndex1)),
% 50.51/32.99 inference(modus_ponens,[status(thm)],[21558, 21557])).
% 50.51/32.99 tff(21560,plain,
% 50.51/32.99 ((~v124(constB169, bitIndex1)) | v121(constB169, bitIndex1)),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21559, 857, 21507])).
% 50.51/32.99 tff(21561,plain,
% 50.51/32.99 (v121(constB169, bitIndex1)),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21560, 21556])).
% 50.51/32.99 tff(21562,plain,
% 50.51/32.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v121(constB169, bitIndex1)) | v123(constB170, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v121(constB169, bitIndex1)) | v123(constB170, bitIndex1))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21563,plain,
% 50.51/32.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v121(constB169, bitIndex1)) | v123(constB170, bitIndex1))),
% 50.51/32.99 inference(quant_inst,[status(thm)],[])).
% 50.51/32.99 tff(21564,plain,
% 50.51/32.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v121(constB169, bitIndex1)) | v123(constB170, bitIndex1)),
% 50.51/32.99 inference(modus_ponens,[status(thm)],[21563, 21562])).
% 50.51/32.99 tff(21565,plain,
% 50.51/32.99 ((~v121(constB169, bitIndex1)) | v123(constB170, bitIndex1)),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21564, 872, 21465])).
% 50.51/32.99 tff(21566,plain,
% 50.51/32.99 (v123(constB170, bitIndex1)),
% 50.51/32.99 inference(unit_resolution,[status(thm)],[21565, 21561])).
% 50.51/32.99 tff(21567,plain,
% 50.51/32.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~v123(constB170, bitIndex1)) | (~v94(constB170)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB170, bitIndex1) | (~v123(constB170, bitIndex1)) | (~v94(constB170)))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21568,plain,
% 50.51/32.99 ((v84(constB170, bitIndex1) | (~v94(constB170)) | (~v123(constB170, bitIndex1))) <=> (v84(constB170, bitIndex1) | (~v123(constB170, bitIndex1)) | (~v94(constB170)))),
% 50.51/32.99 inference(rewrite,[status(thm)],[])).
% 50.51/32.99 tff(21569,plain,
% 50.51/32.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~v94(constB170)) | (~v123(constB170, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~v123(constB170, bitIndex1)) | (~v94(constB170))))),
% 50.51/32.99 inference(monotonicity,[status(thm)],[21568])).
% 50.51/32.99 tff(21570,plain,
% 50.51/32.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~v94(constB170)) | (~v123(constB170, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB170, bitIndex1) | (~v123(constB170, bitIndex1)) | (~v94(constB170)))),
% 50.51/33.00 inference(transitivity,[status(thm)],[21569, 21567])).
% 50.51/33.00 tff(21571,plain,
% 50.51/33.00 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~v94(constB170)) | (~v123(constB170, bitIndex1)))),
% 50.51/33.00 inference(quant_inst,[status(thm)],[])).
% 50.51/33.00 tff(21572,plain,
% 50.51/33.00 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB170, bitIndex1) | (~v123(constB170, bitIndex1)) | (~v94(constB170))),
% 50.51/33.00 inference(modus_ponens,[status(thm)],[21571, 21570])).
% 50.51/33.00 tff(21573,plain,
% 50.51/33.00 (v84(constB170, bitIndex1) | (~v94(constB170))),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21572, 887, 21566])).
% 50.51/33.00 tff(21574,plain,
% 50.51/33.00 (v84(constB170, bitIndex1)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21573, 21499])).
% 50.51/33.00 tff(21575,plain,
% 50.51/33.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex1))),
% 50.51/33.00 inference(rewrite,[status(thm)],[])).
% 50.51/33.00 tff(21576,plain,
% 50.51/33.00 (((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex1)) | v94(constB171) | v84(constB171, bitIndex1)) <=> ((~v84(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex1))),
% 50.51/33.00 inference(rewrite,[status(thm)],[])).
% 50.51/33.00 tff(21577,plain,
% 50.51/33.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex1)) | v94(constB171) | v84(constB171, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex1)))),
% 50.51/33.00 inference(monotonicity,[status(thm)],[21576])).
% 50.51/33.00 tff(21578,plain,
% 50.51/33.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex1)) | v94(constB171) | v84(constB171, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex1))),
% 50.51/33.00 inference(transitivity,[status(thm)],[21577, 21575])).
% 50.51/33.00 tff(21579,plain,
% 50.51/33.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex1)) | v94(constB171) | v84(constB171, bitIndex1))),
% 50.51/33.00 inference(quant_inst,[status(thm)],[])).
% 50.51/33.00 tff(21580,plain,
% 50.51/33.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex1)),
% 50.51/33.00 inference(modus_ponens,[status(thm)],[21579, 21578])).
% 50.51/33.00 tff(21581,plain,
% 50.51/33.00 ((~v84(constB170, bitIndex1)) | v94(constB171) | v84(constB171, bitIndex1)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21580, 905, 21531])).
% 50.51/33.00 tff(21582,plain,
% 50.51/33.00 ((~v84(constB170, bitIndex1)) | v84(constB171, bitIndex1)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21581, 21543])).
% 50.51/33.00 tff(21583,plain,
% 50.51/33.00 (v84(constB171, bitIndex1)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21582, 21574])).
% 50.51/33.00 tff(21584,plain,
% 50.51/33.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB169)) | v124(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB169)) | v124(constB169, bitIndex0))),
% 50.51/33.00 inference(rewrite,[status(thm)],[])).
% 50.51/33.00 tff(21585,plain,
% 50.51/33.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB169)) | v124(constB169, bitIndex0))),
% 50.51/33.00 inference(quant_inst,[status(thm)],[])).
% 50.51/33.00 tff(21586,plain,
% 50.51/33.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB169)) | v124(constB169, bitIndex0)),
% 50.51/33.00 inference(modus_ponens,[status(thm)],[21585, 21584])).
% 50.51/33.00 tff(21587,plain,
% 50.51/33.00 (v124(constB169, bitIndex0)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21586, 1784, 21410])).
% 50.51/33.00 tff(21588,plain,
% 50.51/33.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0))),
% 50.51/33.00 inference(rewrite,[status(thm)],[])).
% 50.51/33.00 tff(21589,plain,
% 50.51/33.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0))),
% 50.51/33.00 inference(quant_inst,[status(thm)],[])).
% 50.51/33.00 tff(21590,plain,
% 50.51/33.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0)),
% 50.51/33.00 inference(modus_ponens,[status(thm)],[21589, 21588])).
% 50.51/33.00 tff(21591,plain,
% 50.51/33.00 ((~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21590, 1391, 21507])).
% 50.51/33.00 tff(21592,plain,
% 50.51/33.00 (v121(constB169, bitIndex0)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21591, 21587])).
% 50.51/33.00 tff(21593,plain,
% 50.51/33.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0))),
% 50.51/33.00 inference(rewrite,[status(thm)],[])).
% 50.51/33.00 tff(21594,plain,
% 50.51/33.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0))),
% 50.51/33.00 inference(quant_inst,[status(thm)],[])).
% 50.51/33.00 tff(21595,plain,
% 50.51/33.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0)),
% 50.51/33.00 inference(modus_ponens,[status(thm)],[21594, 21593])).
% 50.51/33.00 tff(21596,plain,
% 50.51/33.00 ((~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21595, 1406, 21465])).
% 50.51/33.00 tff(21597,plain,
% 50.51/33.00 (v123(constB170, bitIndex0)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21596, 21592])).
% 50.51/33.00 tff(21598,plain,
% 50.51/33.00 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))),
% 50.51/33.00 inference(rewrite,[status(thm)],[])).
% 50.51/33.00 tff(21599,plain,
% 50.51/33.00 ((v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0))) <=> (v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))),
% 50.51/33.00 inference(rewrite,[status(thm)],[])).
% 50.51/33.00 tff(21600,plain,
% 50.51/33.00 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170))))),
% 50.51/33.00 inference(monotonicity,[status(thm)],[21599])).
% 50.51/33.00 tff(21601,plain,
% 50.51/33.00 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))),
% 50.51/33.00 inference(transitivity,[status(thm)],[21600, 21598])).
% 50.51/33.00 tff(21602,plain,
% 50.51/33.00 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0)))),
% 50.51/33.00 inference(quant_inst,[status(thm)],[])).
% 50.51/33.00 tff(21603,plain,
% 50.51/33.00 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170))),
% 50.51/33.00 inference(modus_ponens,[status(thm)],[21602, 21601])).
% 50.51/33.00 tff(21604,plain,
% 50.51/33.00 (v84(constB170, bitIndex0) | (~v94(constB170))),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21603, 1421, 21597])).
% 50.51/33.00 tff(21605,plain,
% 50.51/33.00 (v84(constB170, bitIndex0)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21604, 21499])).
% 50.51/33.00 tff(21606,plain,
% 50.51/33.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))),
% 50.51/33.00 inference(rewrite,[status(thm)],[])).
% 50.51/33.00 tff(21607,plain,
% 50.51/33.00 (((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0)) <=> ((~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))),
% 50.51/33.00 inference(rewrite,[status(thm)],[])).
% 50.51/33.00 tff(21608,plain,
% 50.51/33.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0)))),
% 50.51/33.00 inference(monotonicity,[status(thm)],[21607])).
% 50.51/33.00 tff(21609,plain,
% 50.51/33.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))),
% 50.51/33.00 inference(transitivity,[status(thm)],[21608, 21606])).
% 50.51/33.00 tff(21610,plain,
% 50.51/33.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0))),
% 50.51/33.00 inference(quant_inst,[status(thm)],[])).
% 50.51/33.00 tff(21611,plain,
% 50.51/33.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0)),
% 50.51/33.00 inference(modus_ponens,[status(thm)],[21610, 21609])).
% 50.51/33.00 tff(21612,plain,
% 50.51/33.00 ((~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21611, 1439, 21531])).
% 50.51/33.00 tff(21613,plain,
% 50.51/33.00 ((~v84(constB170, bitIndex0)) | v84(constB171, bitIndex0)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21612, 21543])).
% 50.51/33.00 tff(21614,plain,
% 50.51/33.00 (v84(constB171, bitIndex0)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21613, 21605])).
% 50.51/33.00 tff(21615,plain,
% 50.51/33.00 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB171, bitIndex0)) | (~v84(constB171, bitIndex1)) | v84(constB171, bitIndex2) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB171, bitIndex0)) | (~v84(constB171, bitIndex1)) | v84(constB171, bitIndex2) | v116(constB171))),
% 50.51/33.00 inference(rewrite,[status(thm)],[])).
% 50.51/33.00 tff(21616,plain,
% 50.51/33.00 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB171, bitIndex0)) | (~v84(constB171, bitIndex1)) | v84(constB171, bitIndex2) | v116(constB171))),
% 50.51/33.00 inference(quant_inst,[status(thm)],[])).
% 50.51/33.00 tff(21617,plain,
% 50.51/33.00 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB171, bitIndex0)) | (~v84(constB171, bitIndex1)) | v84(constB171, bitIndex2) | v116(constB171)),
% 50.51/33.00 inference(modus_ponens,[status(thm)],[21616, 21615])).
% 50.51/33.00 tff(21618,plain,
% 50.51/33.00 (v116(constB171)),
% 50.51/33.00 inference(unit_resolution,[status(thm)],[21617, 1825, 21614, 21583, 21552])).
% 50.51/33.00 tff(21619,plain,
% 50.51/33.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB171) | (~v116(constB171)))),
% 50.51/33.00 inference(rewrite,[status(thm)],[])).
% 50.51/33.00 tff(21620,plain,
% 50.51/33.00 (((~v116(constB171)) | v110(constB171)) <=> (v110(constB171) | (~v116(constB171)))),
% 50.51/33.00 inference(rewrite,[status(thm)],[])).
% 50.51/33.00 tff(21621,plain,
% 50.51/33.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB171)) | v110(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB171) | (~v116(constB171))))),
% 50.51/33.00 inference(monotonicity,[status(thm)],[21620])).
% 50.51/33.00 tff(21622,plain,
% 50.51/33.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB171)) | v110(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB171) | (~v116(constB171)))),
% 50.51/33.01 inference(transitivity,[status(thm)],[21621, 21619])).
% 50.51/33.01 tff(21623,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB171)) | v110(constB171))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21624,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB171) | (~v116(constB171))),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21623, 21622])).
% 50.51/33.01 tff(21625,plain,
% 50.51/33.01 (v110(constB171)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21624, 1836, 21618])).
% 50.51/33.01 tff(21626,plain,
% 50.51/33.01 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB171) | (~v110(constB171)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB171) | (~v110(constB171)))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21627,plain,
% 50.51/33.01 (((~v110(constB171)) | v109(constB171)) <=> (v109(constB171) | (~v110(constB171)))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21628,plain,
% 50.51/33.01 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB171)) | v109(constB171))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB171) | (~v110(constB171))))),
% 50.51/33.01 inference(monotonicity,[status(thm)],[21627])).
% 50.51/33.01 tff(21629,plain,
% 50.51/33.01 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB171)) | v109(constB171))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB171) | (~v110(constB171)))),
% 50.51/33.01 inference(transitivity,[status(thm)],[21628, 21626])).
% 50.51/33.01 tff(21630,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB171)) | v109(constB171))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21631,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB171) | (~v110(constB171))),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21630, 21629])).
% 50.51/33.01 tff(21632,plain,
% 50.51/33.01 (v109(constB171)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21631, 306, 21625])).
% 50.51/33.01 tff(21633,plain,
% 50.51/33.01 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB171)) | v108(constB171))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21634,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB171)) | v108(constB171))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21635,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB171)) | v108(constB171)),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21634, 21633])).
% 50.51/33.01 tff(21636,plain,
% 50.51/33.01 (v108(constB171)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21635, 320, 21632])).
% 50.51/33.01 tff(21637,plain,
% 50.51/33.01 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB171) | (~v108(constB171)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB171) | (~v108(constB171)))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21638,plain,
% 50.51/33.01 (((~v108(constB171)) | v107(constB171)) <=> (v107(constB171) | (~v108(constB171)))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21639,plain,
% 50.51/33.01 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB171)) | v107(constB171))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB171) | (~v108(constB171))))),
% 50.51/33.01 inference(monotonicity,[status(thm)],[21638])).
% 50.51/33.01 tff(21640,plain,
% 50.51/33.01 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB171)) | v107(constB171))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB171) | (~v108(constB171)))),
% 50.51/33.01 inference(transitivity,[status(thm)],[21639, 21637])).
% 50.51/33.01 tff(21641,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB171)) | v107(constB171))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21642,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB171) | (~v108(constB171))),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21641, 21640])).
% 50.51/33.01 tff(21643,plain,
% 50.51/33.01 (v107(constB171)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21642, 334, 21636])).
% 50.51/33.01 tff(21644,assumption,(v26(constB171)), introduced(assumption)).
% 50.51/33.01 tff(21645,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB171))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21646,plain,
% 50.51/33.01 ($false),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21645, 55, 21644])).
% 50.51/33.01 tff(21647,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.01 tff(21648,plain,
% 50.51/33.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB171) | (~v107(constB171)) | v106(constB171))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB171) | (~v107(constB171)) | v106(constB171))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21649,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB171) | (~v107(constB171)) | v106(constB171))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21650,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB171) | (~v107(constB171)) | v106(constB171)),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21649, 21648])).
% 50.51/33.01 tff(21651,plain,
% 50.51/33.01 ((~v107(constB171)) | v106(constB171)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21650, 348, 21647])).
% 50.51/33.01 tff(21652,plain,
% 50.51/33.01 (v106(constB171)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21651, 21643])).
% 50.51/33.01 tff(21653,plain,
% 50.51/33.01 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB171) | (~v106(constB171)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB171) | (~v106(constB171)))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21654,plain,
% 50.51/33.01 (((~v106(constB171)) | v102(constB171)) <=> (v102(constB171) | (~v106(constB171)))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21655,plain,
% 50.51/33.01 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB171)) | v102(constB171))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB171) | (~v106(constB171))))),
% 50.51/33.01 inference(monotonicity,[status(thm)],[21654])).
% 50.51/33.01 tff(21656,plain,
% 50.51/33.01 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB171)) | v102(constB171))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB171) | (~v106(constB171)))),
% 50.51/33.01 inference(transitivity,[status(thm)],[21655, 21653])).
% 50.51/33.01 tff(21657,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB171)) | v102(constB171))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21658,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB171) | (~v106(constB171))),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21657, 21656])).
% 50.51/33.01 tff(21659,plain,
% 50.51/33.01 (v102(constB171)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21658, 504, 21652])).
% 50.51/33.01 tff(21660,plain,
% 50.51/33.01 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21661,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 50.51/33.01 tff(21662,plain,
% 50.51/33.01 (nextState(constB171, constB172)),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21661, 21660])).
% 50.51/33.01 tff(21663,plain,
% 50.51/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21664,plain,
% 50.51/33.01 (((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172)) <=> ((~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21665,plain,
% 50.51/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171))))),
% 50.51/33.01 inference(monotonicity,[status(thm)],[21664])).
% 50.51/33.01 tff(21666,plain,
% 50.51/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))),
% 50.51/33.01 inference(transitivity,[status(thm)],[21665, 21663])).
% 50.51/33.01 tff(21667,plain,
% 50.51/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21668,plain,
% 50.51/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171))),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21667, 21666])).
% 50.51/33.01 tff(21669,plain,
% 50.51/33.01 (v104(constB172) | (~v102(constB171))),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21668, 489, 21662])).
% 50.51/33.01 tff(21670,plain,
% 50.51/33.01 (v104(constB172)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21669, 21659])).
% 50.51/33.01 tff(21671,plain,
% 50.51/33.01 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172)))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21672,plain,
% 50.51/33.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172)))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21673,plain,
% 50.51/33.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172))),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21672, 21671])).
% 50.51/33.01 tff(21674,plain,
% 50.51/33.01 (~v98(constB172)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21673, 423, 21662, 21528])).
% 50.51/33.01 tff(21675,plain,
% 50.51/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB171, constB172)) | v96(constB172) | v98(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB171, constB172)) | v96(constB172) | v98(constB172))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21676,plain,
% 50.51/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB171, constB172)) | v96(constB172) | v98(constB172))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21677,plain,
% 50.51/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB171, constB172)) | v96(constB172) | v98(constB172)),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21676, 21675])).
% 50.51/33.01 tff(21678,plain,
% 50.51/33.01 (v96(constB172) | v98(constB172)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21677, 437, 21662])).
% 50.51/33.01 tff(21679,plain,
% 50.51/33.01 (v96(constB172)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21678, 21674])).
% 50.51/33.01 tff(21680,plain,
% 50.51/33.01 (v1(constB172) <=> v1(constB172)),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21681,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 50.51/33.01 tff(21682,plain,
% 50.51/33.01 (v1(constB172)),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21681, 21680])).
% 50.51/33.01 tff(21683,plain,
% 50.51/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172)))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21684,plain,
% 50.51/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172)))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21685,plain,
% 50.51/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172))),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21684, 21683])).
% 50.51/33.01 tff(21686,plain,
% 50.51/33.01 (v95(constB172) | (~v96(constB172))),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21685, 455, 21662, 21682])).
% 50.51/33.01 tff(21687,plain,
% 50.51/33.01 (v95(constB172)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21686, 21679])).
% 50.51/33.01 tff(21688,plain,
% 50.51/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21689,plain,
% 50.51/33.01 (((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172)) <=> ((~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21690,plain,
% 50.51/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172))))),
% 50.51/33.01 inference(monotonicity,[status(thm)],[21689])).
% 50.51/33.01 tff(21691,plain,
% 50.51/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))),
% 50.51/33.01 inference(transitivity,[status(thm)],[21690, 21688])).
% 50.51/33.01 tff(21692,plain,
% 50.51/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21693,plain,
% 50.51/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172))),
% 50.51/33.01 inference(modus_ponens,[status(thm)],[21692, 21691])).
% 50.51/33.01 tff(21694,plain,
% 50.51/33.01 (v94(constB172) | (~v95(constB172)) | (~v104(constB172))),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21693, 470, 21662])).
% 50.51/33.01 tff(21695,plain,
% 50.51/33.01 (v94(constB172) | (~v104(constB172))),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21694, 21687])).
% 50.51/33.01 tff(21696,plain,
% 50.51/33.01 (v94(constB172)),
% 50.51/33.01 inference(unit_resolution,[status(thm)],[21695, 21670])).
% 50.51/33.01 tff(21697,plain,
% 50.51/33.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB171)) | v124(constB171, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB171)) | v124(constB171, bitIndex2))),
% 50.51/33.01 inference(rewrite,[status(thm)],[])).
% 50.51/33.01 tff(21698,plain,
% 50.51/33.01 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB171)) | v124(constB171, bitIndex2))),
% 50.51/33.01 inference(quant_inst,[status(thm)],[])).
% 50.51/33.01 tff(21699,plain,
% 50.51/33.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB171)) | v124(constB171, bitIndex2)),
% 50.51/33.02 inference(modus_ponens,[status(thm)],[21698, 21697])).
% 50.51/33.02 tff(21700,plain,
% 50.51/33.02 (v124(constB171, bitIndex2)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21699, 1923, 21618])).
% 50.51/33.02 tff(21701,plain,
% 50.51/33.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB171) | (~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB171) | (~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21702,plain,
% 50.51/33.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB171) | (~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2))),
% 50.51/33.02 inference(quant_inst,[status(thm)],[])).
% 50.51/33.02 tff(21703,plain,
% 50.51/33.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB171) | (~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2)),
% 50.51/33.02 inference(modus_ponens,[status(thm)],[21702, 21701])).
% 50.51/33.02 tff(21704,plain,
% 50.51/33.02 ((~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21703, 374, 21647])).
% 50.51/33.02 tff(21705,plain,
% 50.51/33.02 (v121(constB171, bitIndex2)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21704, 21700])).
% 50.51/33.02 tff(21706,plain,
% 50.51/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21707,plain,
% 50.51/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2))),
% 50.51/33.02 inference(quant_inst,[status(thm)],[])).
% 50.51/33.02 tff(21708,plain,
% 50.51/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2)),
% 50.51/33.02 inference(modus_ponens,[status(thm)],[21707, 21706])).
% 50.51/33.02 tff(21709,plain,
% 50.51/33.02 ((~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21708, 389, 21662])).
% 50.51/33.02 tff(21710,plain,
% 50.51/33.02 (v123(constB172, bitIndex2)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21709, 21705])).
% 50.51/33.02 tff(21711,plain,
% 50.51/33.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172)))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21712,plain,
% 50.51/33.02 ((v84(constB172, bitIndex2) | (~v94(constB172)) | (~v123(constB172, bitIndex2))) <=> (v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172)))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21713,plain,
% 50.51/33.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v94(constB172)) | (~v123(constB172, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172))))),
% 50.51/33.02 inference(monotonicity,[status(thm)],[21712])).
% 50.51/33.02 tff(21714,plain,
% 50.51/33.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v94(constB172)) | (~v123(constB172, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172)))),
% 50.51/33.02 inference(transitivity,[status(thm)],[21713, 21711])).
% 50.51/33.02 tff(21715,plain,
% 50.51/33.02 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v94(constB172)) | (~v123(constB172, bitIndex2)))),
% 50.51/33.02 inference(quant_inst,[status(thm)],[])).
% 50.51/33.02 tff(21716,plain,
% 50.51/33.02 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172))),
% 50.51/33.02 inference(modus_ponens,[status(thm)],[21715, 21714])).
% 50.51/33.02 tff(21717,plain,
% 50.51/33.02 (v84(constB172, bitIndex2) | (~v94(constB172))),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21716, 405, 21710])).
% 50.51/33.02 tff(21718,plain,
% 50.51/33.02 (v84(constB172, bitIndex2)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21717, 21696])).
% 50.51/33.02 tff(21719,plain,
% 50.51/33.02 ((~v1(constB173)) <=> (~v1(constB173))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21720,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 50.51/33.02 tff(21721,plain,
% 50.51/33.02 (~v1(constB173)),
% 50.51/33.02 inference(modus_ponens,[status(thm)],[21720, 21719])).
% 50.51/33.02 tff(21722,plain,
% 50.51/33.02 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21723,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 50.51/33.02 tff(21724,plain,
% 50.51/33.02 (nextState(constB172, constB173)),
% 50.51/33.02 inference(modus_ponens,[status(thm)],[21723, 21722])).
% 50.51/33.02 tff(21725,plain,
% 50.51/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21726,plain,
% 50.51/33.02 (((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21727,plain,
% 50.51/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173))))),
% 50.51/33.02 inference(monotonicity,[status(thm)],[21726])).
% 50.51/33.02 tff(21728,plain,
% 50.51/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))),
% 50.51/33.02 inference(transitivity,[status(thm)],[21727, 21725])).
% 50.51/33.02 tff(21729,plain,
% 50.51/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173))),
% 50.51/33.02 inference(quant_inst,[status(thm)],[])).
% 50.51/33.02 tff(21730,plain,
% 50.51/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173))),
% 50.51/33.02 inference(modus_ponens,[status(thm)],[21729, 21728])).
% 50.51/33.02 tff(21731,plain,
% 50.51/33.02 (~v95(constB173)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21730, 110, 21724, 21721])).
% 50.51/33.02 tff(21732,plain,
% 50.51/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173)))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21733,plain,
% 50.51/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173)))),
% 50.51/33.02 inference(quant_inst,[status(thm)],[])).
% 50.51/33.02 tff(21734,plain,
% 50.51/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173))),
% 50.51/33.02 inference(modus_ponens,[status(thm)],[21733, 21732])).
% 50.51/33.02 tff(21735,plain,
% 50.51/33.02 (v95(constB173) | (~v94(constB173))),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21734, 127, 21724])).
% 50.51/33.02 tff(21736,plain,
% 50.51/33.02 (~v94(constB173)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21735, 21731])).
% 50.51/33.02 tff(21737,plain,
% 50.51/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21738,plain,
% 50.51/33.02 (((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2)) <=> ((~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21739,plain,
% 50.51/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2)))),
% 50.51/33.02 inference(monotonicity,[status(thm)],[21738])).
% 50.51/33.02 tff(21740,plain,
% 50.51/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2))),
% 50.51/33.02 inference(transitivity,[status(thm)],[21739, 21737])).
% 50.51/33.02 tff(21741,plain,
% 50.51/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2))),
% 50.51/33.02 inference(quant_inst,[status(thm)],[])).
% 50.51/33.02 tff(21742,plain,
% 50.51/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2)),
% 50.51/33.02 inference(modus_ponens,[status(thm)],[21741, 21740])).
% 50.51/33.02 tff(21743,plain,
% 50.51/33.02 ((~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21742, 576, 21724])).
% 50.51/33.02 tff(21744,plain,
% 50.51/33.02 ((~v84(constB172, bitIndex2)) | v84(constB173, bitIndex2)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21743, 21736])).
% 50.51/33.02 tff(21745,plain,
% 50.51/33.02 (v84(constB173, bitIndex2)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21744, 21718])).
% 50.51/33.02 tff(21746,plain,
% 50.51/33.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB171)) | (~v124(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB171)) | (~v124(constB171, bitIndex1)))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21747,plain,
% 50.51/33.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB171)) | (~v124(constB171, bitIndex1)))),
% 50.51/33.02 inference(quant_inst,[status(thm)],[])).
% 50.51/33.02 tff(21748,plain,
% 50.51/33.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB171)) | (~v124(constB171, bitIndex1))),
% 50.51/33.02 inference(modus_ponens,[status(thm)],[21747, 21746])).
% 50.51/33.02 tff(21749,plain,
% 50.51/33.02 (~v124(constB171, bitIndex1)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21748, 1979, 21618])).
% 50.51/33.02 tff(21750,plain,
% 50.51/33.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21751,plain,
% 50.51/33.02 ((v26(constB171) | v124(constB171, bitIndex1) | (~v121(constB171, bitIndex1))) <=> ((~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1))),
% 50.51/33.02 inference(rewrite,[status(thm)],[])).
% 50.51/33.02 tff(21752,plain,
% 50.51/33.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB171) | v124(constB171, bitIndex1) | (~v121(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1)))),
% 50.51/33.02 inference(monotonicity,[status(thm)],[21751])).
% 50.51/33.02 tff(21753,plain,
% 50.51/33.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB171) | v124(constB171, bitIndex1) | (~v121(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1))),
% 50.51/33.02 inference(transitivity,[status(thm)],[21752, 21750])).
% 50.51/33.02 tff(21754,plain,
% 50.51/33.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB171) | v124(constB171, bitIndex1) | (~v121(constB171, bitIndex1)))),
% 50.51/33.02 inference(quant_inst,[status(thm)],[])).
% 50.51/33.02 tff(21755,plain,
% 50.51/33.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1)),
% 50.51/33.02 inference(modus_ponens,[status(thm)],[21754, 21753])).
% 50.51/33.02 tff(21756,plain,
% 50.51/33.02 ((~v121(constB171, bitIndex1)) | v124(constB171, bitIndex1)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21755, 233, 21647])).
% 50.51/33.02 tff(21757,plain,
% 50.51/33.02 (~v121(constB171, bitIndex1)),
% 50.51/33.02 inference(unit_resolution,[status(thm)],[21756, 21749])).
% 50.51/33.02 tff(21758,plain,
% 50.51/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1)))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21759,plain,
% 50.51/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1)))),
% 50.51/33.03 inference(quant_inst,[status(thm)],[])).
% 50.51/33.03 tff(21760,plain,
% 50.51/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1))),
% 50.51/33.03 inference(modus_ponens,[status(thm)],[21759, 21758])).
% 50.51/33.03 tff(21761,plain,
% 50.51/33.03 (v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1))),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21760, 254, 21662])).
% 50.51/33.03 tff(21762,plain,
% 50.51/33.03 (~v123(constB172, bitIndex1)),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21761, 21757])).
% 50.51/33.03 tff(21763,plain,
% 50.51/33.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172)))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21764,plain,
% 50.51/33.03 (((~v84(constB172, bitIndex1)) | (~v94(constB172)) | v123(constB172, bitIndex1)) <=> ((~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172)))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21765,plain,
% 50.51/33.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~v94(constB172)) | v123(constB172, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172))))),
% 50.51/33.03 inference(monotonicity,[status(thm)],[21764])).
% 50.51/33.03 tff(21766,plain,
% 50.51/33.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~v94(constB172)) | v123(constB172, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172)))),
% 50.51/33.03 inference(transitivity,[status(thm)],[21765, 21763])).
% 50.51/33.03 tff(21767,plain,
% 50.51/33.03 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~v94(constB172)) | v123(constB172, bitIndex1))),
% 50.51/33.03 inference(quant_inst,[status(thm)],[])).
% 50.51/33.03 tff(21768,plain,
% 50.51/33.03 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172))),
% 50.51/33.03 inference(modus_ponens,[status(thm)],[21767, 21766])).
% 50.51/33.03 tff(21769,plain,
% 50.51/33.03 ((~v84(constB172, bitIndex1)) | (~v94(constB172))),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21768, 532, 21762])).
% 50.51/33.03 tff(21770,plain,
% 50.51/33.03 (~v84(constB172, bitIndex1)),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21769, 21696])).
% 50.51/33.03 tff(21771,plain,
% 50.51/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1)))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21772,plain,
% 50.51/33.03 (((~nextState(constB172, constB173)) | v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1))) <=> (v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1)))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21773,plain,
% 50.51/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1))))),
% 50.51/33.03 inference(monotonicity,[status(thm)],[21772])).
% 50.51/33.03 tff(21774,plain,
% 50.51/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1)))),
% 50.51/33.03 inference(transitivity,[status(thm)],[21773, 21771])).
% 50.51/33.03 tff(21775,plain,
% 50.51/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1)))),
% 50.51/33.03 inference(quant_inst,[status(thm)],[])).
% 50.51/33.03 tff(21776,plain,
% 50.51/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1))),
% 50.51/33.03 inference(modus_ponens,[status(thm)],[21775, 21774])).
% 50.51/33.03 tff(21777,plain,
% 50.51/33.03 (v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1))),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21776, 163, 21724])).
% 50.51/33.03 tff(21778,plain,
% 50.51/33.03 (v84(constB172, bitIndex1) | (~v84(constB173, bitIndex1))),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21777, 21736])).
% 50.51/33.03 tff(21779,plain,
% 50.51/33.03 (~v84(constB173, bitIndex1)),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21778, 21770])).
% 50.51/33.03 tff(21780,plain,
% 50.51/33.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB171)) | (~v124(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB171)) | (~v124(constB171, bitIndex0)))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21781,plain,
% 50.51/33.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB171)) | (~v124(constB171, bitIndex0)))),
% 50.51/33.03 inference(quant_inst,[status(thm)],[])).
% 50.51/33.03 tff(21782,plain,
% 50.51/33.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB171)) | (~v124(constB171, bitIndex0))),
% 50.51/33.03 inference(modus_ponens,[status(thm)],[21781, 21780])).
% 50.51/33.03 tff(21783,plain,
% 50.51/33.03 (~v124(constB171, bitIndex0)),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21782, 2020, 21618])).
% 50.51/33.03 tff(21784,plain,
% 50.51/33.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21785,plain,
% 50.51/33.03 ((v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0))) <=> ((~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21786,plain,
% 50.51/33.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0)))),
% 50.51/33.03 inference(monotonicity,[status(thm)],[21785])).
% 50.51/33.03 tff(21787,plain,
% 50.51/33.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))),
% 50.51/33.03 inference(transitivity,[status(thm)],[21786, 21784])).
% 50.51/33.03 tff(21788,plain,
% 50.51/33.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0)))),
% 50.51/33.03 inference(quant_inst,[status(thm)],[])).
% 50.51/33.03 tff(21789,plain,
% 50.51/33.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0)),
% 50.51/33.03 inference(modus_ponens,[status(thm)],[21788, 21787])).
% 50.51/33.03 tff(21790,plain,
% 50.51/33.03 ((~v121(constB171, bitIndex0)) | v124(constB171, bitIndex0)),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21789, 607, 21647])).
% 50.51/33.03 tff(21791,plain,
% 50.51/33.03 (~v121(constB171, bitIndex0)),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21790, 21783])).
% 50.51/33.03 tff(21792,plain,
% 50.51/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0)))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21793,plain,
% 50.51/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0)))),
% 50.51/33.03 inference(quant_inst,[status(thm)],[])).
% 50.51/33.03 tff(21794,plain,
% 50.51/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0))),
% 50.51/33.03 inference(modus_ponens,[status(thm)],[21793, 21792])).
% 50.51/33.03 tff(21795,plain,
% 50.51/33.03 (v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0))),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21794, 637, 21662])).
% 50.51/33.03 tff(21796,plain,
% 50.51/33.03 (~v123(constB172, bitIndex0)),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21795, 21791])).
% 50.51/33.03 tff(21797,plain,
% 50.51/33.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21798,plain,
% 50.51/33.03 (((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0)) <=> ((~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21799,plain,
% 50.51/33.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172))))),
% 50.51/33.03 inference(monotonicity,[status(thm)],[21798])).
% 50.51/33.03 tff(21800,plain,
% 50.51/33.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))),
% 50.51/33.03 inference(transitivity,[status(thm)],[21799, 21797])).
% 50.51/33.03 tff(21801,plain,
% 50.51/33.03 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0))),
% 50.51/33.03 inference(quant_inst,[status(thm)],[])).
% 50.51/33.03 tff(21802,plain,
% 50.51/33.03 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172))),
% 50.51/33.03 inference(modus_ponens,[status(thm)],[21801, 21800])).
% 50.51/33.03 tff(21803,plain,
% 50.51/33.03 ((~v84(constB172, bitIndex0)) | (~v94(constB172))),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21802, 652, 21796])).
% 50.51/33.03 tff(21804,plain,
% 50.51/33.03 (~v84(constB172, bitIndex0)),
% 50.51/33.03 inference(unit_resolution,[status(thm)],[21803, 21696])).
% 50.51/33.03 tff(21805,plain,
% 50.51/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21806,plain,
% 50.51/33.03 (((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0))) <=> (v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 50.51/33.03 inference(rewrite,[status(thm)],[])).
% 50.51/33.03 tff(21807,plain,
% 50.51/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0))))),
% 50.51/33.03 inference(monotonicity,[status(thm)],[21806])).
% 50.51/33.03 tff(21808,plain,
% 50.51/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 50.51/33.03 inference(transitivity,[status(thm)],[21807, 21805])).
% 50.51/33.03 tff(21809,plain,
% 50.51/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 50.51/33.03 inference(quant_inst,[status(thm)],[])).
% 50.51/33.03 tff(21810,plain,
% 50.51/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0))),
% 50.51/33.03 inference(modus_ponens,[status(thm)],[21809, 21808])).
% 50.51/33.03 tff(21811,plain,
% 50.51/33.03 (v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0))),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21810, 184, 21724])).
% 50.51/33.04 tff(21812,plain,
% 50.51/33.04 (v84(constB172, bitIndex0) | (~v84(constB173, bitIndex0))),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21811, 21736])).
% 50.51/33.04 tff(21813,plain,
% 50.51/33.04 (~v84(constB173, bitIndex0)),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21812, 21804])).
% 50.51/33.04 tff(21814,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v172(constB173))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v172(constB173))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21815,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v172(constB173))),
% 50.51/33.04 inference(quant_inst,[status(thm)],[])).
% 50.51/33.04 tff(21816,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v172(constB173)),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21815, 21814])).
% 50.51/33.04 tff(21817,plain,
% 50.51/33.04 (v172(constB173)),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21816, 679, 21813, 21779, 21745])).
% 50.51/33.04 tff(21818,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB173) | (~v172(constB173)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB173) | (~v172(constB173)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21819,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB173) | (~v172(constB173)))),
% 50.51/33.04 inference(quant_inst,[status(thm)],[])).
% 50.51/33.04 tff(21820,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB173) | (~v172(constB173))),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21819, 21818])).
% 50.51/33.04 tff(21821,plain,
% 50.51/33.04 (v109(constB173)),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21820, 740, 21817])).
% 50.51/33.04 tff(21822,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v109(constB173)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v109(constB173)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21823,plain,
% 50.51/33.04 (((~v109(constB173)) | v108(constB173)) <=> (v108(constB173) | (~v109(constB173)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21824,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v109(constB173))))),
% 50.51/33.04 inference(monotonicity,[status(thm)],[21823])).
% 50.51/33.04 tff(21825,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v109(constB173)))),
% 50.51/33.04 inference(transitivity,[status(thm)],[21824, 21822])).
% 50.51/33.04 tff(21826,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB173)) | v108(constB173))),
% 50.51/33.04 inference(quant_inst,[status(thm)],[])).
% 50.51/33.04 tff(21827,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v109(constB173))),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21826, 21825])).
% 50.51/33.04 tff(21828,plain,
% 50.51/33.04 (v108(constB173)),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21827, 320, 21821])).
% 50.51/33.04 tff(21829,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB173) | (~v108(constB173)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB173) | (~v108(constB173)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21830,plain,
% 50.51/33.04 (((~v108(constB173)) | v107(constB173)) <=> (v107(constB173) | (~v108(constB173)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21831,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB173)) | v107(constB173))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB173) | (~v108(constB173))))),
% 50.51/33.04 inference(monotonicity,[status(thm)],[21830])).
% 50.51/33.04 tff(21832,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB173)) | v107(constB173))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB173) | (~v108(constB173)))),
% 50.51/33.04 inference(transitivity,[status(thm)],[21831, 21829])).
% 50.51/33.04 tff(21833,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB173)) | v107(constB173))),
% 50.51/33.04 inference(quant_inst,[status(thm)],[])).
% 50.51/33.04 tff(21834,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB173) | (~v108(constB173))),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21833, 21832])).
% 50.51/33.04 tff(21835,plain,
% 50.51/33.04 (v107(constB173)),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21834, 334, 21828])).
% 50.51/33.04 tff(21836,assumption,(v26(constB173)), introduced(assumption)).
% 50.51/33.04 tff(21837,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB173))),
% 50.51/33.04 inference(quant_inst,[status(thm)],[])).
% 50.51/33.04 tff(21838,plain,
% 50.51/33.04 ($false),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21837, 55, 21836])).
% 50.51/33.04 tff(21839,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.04 tff(21840,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | v106(constB173) | (~v107(constB173)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB173) | v106(constB173) | (~v107(constB173)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21841,plain,
% 50.51/33.04 ((v26(constB173) | (~v107(constB173)) | v106(constB173)) <=> (v26(constB173) | v106(constB173) | (~v107(constB173)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21842,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | (~v107(constB173)) | v106(constB173))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | v106(constB173) | (~v107(constB173))))),
% 50.51/33.04 inference(monotonicity,[status(thm)],[21841])).
% 50.51/33.04 tff(21843,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | (~v107(constB173)) | v106(constB173))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB173) | v106(constB173) | (~v107(constB173)))),
% 50.51/33.04 inference(transitivity,[status(thm)],[21842, 21840])).
% 50.51/33.04 tff(21844,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | (~v107(constB173)) | v106(constB173))),
% 50.51/33.04 inference(quant_inst,[status(thm)],[])).
% 50.51/33.04 tff(21845,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB173) | v106(constB173) | (~v107(constB173))),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21844, 21843])).
% 50.51/33.04 tff(21846,plain,
% 50.51/33.04 (v106(constB173) | (~v107(constB173))),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21845, 348, 21839])).
% 50.51/33.04 tff(21847,plain,
% 50.51/33.04 (v106(constB173)),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21846, 21835])).
% 50.51/33.04 tff(21848,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB173) | (~v106(constB173)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB173) | (~v106(constB173)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21849,plain,
% 50.51/33.04 (((~v106(constB173)) | v102(constB173)) <=> (v102(constB173) | (~v106(constB173)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21850,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB173)) | v102(constB173))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB173) | (~v106(constB173))))),
% 50.51/33.04 inference(monotonicity,[status(thm)],[21849])).
% 50.51/33.04 tff(21851,plain,
% 50.51/33.04 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB173)) | v102(constB173))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB173) | (~v106(constB173)))),
% 50.51/33.04 inference(transitivity,[status(thm)],[21850, 21848])).
% 50.51/33.04 tff(21852,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB173)) | v102(constB173))),
% 50.51/33.04 inference(quant_inst,[status(thm)],[])).
% 50.51/33.04 tff(21853,plain,
% 50.51/33.04 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB173) | (~v106(constB173))),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21852, 21851])).
% 50.51/33.04 tff(21854,plain,
% 50.51/33.04 (v102(constB173)),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21853, 504, 21847])).
% 50.51/33.04 tff(21855,plain,
% 50.51/33.04 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21856,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 50.51/33.04 tff(21857,plain,
% 50.51/33.04 (nextState(constB173, constB174)),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21856, 21855])).
% 50.51/33.04 tff(21858,plain,
% 50.51/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21859,plain,
% 50.51/33.04 (((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174)) <=> ((~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21860,plain,
% 50.51/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173))))),
% 50.51/33.04 inference(monotonicity,[status(thm)],[21859])).
% 50.51/33.04 tff(21861,plain,
% 50.51/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))),
% 50.51/33.04 inference(transitivity,[status(thm)],[21860, 21858])).
% 50.51/33.04 tff(21862,plain,
% 50.51/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174))),
% 50.51/33.04 inference(quant_inst,[status(thm)],[])).
% 50.51/33.04 tff(21863,plain,
% 50.51/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173))),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21862, 21861])).
% 50.51/33.04 tff(21864,plain,
% 50.51/33.04 (v104(constB174) | (~v102(constB173))),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21863, 489, 21857])).
% 50.51/33.04 tff(21865,plain,
% 50.51/33.04 (v104(constB174)),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21864, 21854])).
% 50.51/33.04 tff(21866,plain,
% 50.51/33.04 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21867,plain,
% 50.51/33.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174)))),
% 50.51/33.04 inference(quant_inst,[status(thm)],[])).
% 50.51/33.04 tff(21868,plain,
% 50.51/33.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174))),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21867, 21866])).
% 50.51/33.04 tff(21869,plain,
% 50.51/33.04 (~v98(constB174)),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21868, 423, 21857, 21721])).
% 50.51/33.04 tff(21870,plain,
% 50.51/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB173, constB174)) | v96(constB174) | v98(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB173, constB174)) | v96(constB174) | v98(constB174))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21871,plain,
% 50.51/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB173, constB174)) | v96(constB174) | v98(constB174))),
% 50.51/33.04 inference(quant_inst,[status(thm)],[])).
% 50.51/33.04 tff(21872,plain,
% 50.51/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB173, constB174)) | v96(constB174) | v98(constB174)),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21871, 21870])).
% 50.51/33.04 tff(21873,plain,
% 50.51/33.04 (v96(constB174) | v98(constB174)),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21872, 437, 21857])).
% 50.51/33.04 tff(21874,plain,
% 50.51/33.04 (v96(constB174)),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21873, 21869])).
% 50.51/33.04 tff(21875,plain,
% 50.51/33.04 (v1(constB174) <=> v1(constB174)),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21876,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 50.51/33.04 tff(21877,plain,
% 50.51/33.04 (v1(constB174)),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21876, 21875])).
% 50.51/33.04 tff(21878,plain,
% 50.51/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21879,plain,
% 50.51/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174)))),
% 50.51/33.04 inference(quant_inst,[status(thm)],[])).
% 50.51/33.04 tff(21880,plain,
% 50.51/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174))),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21879, 21878])).
% 50.51/33.04 tff(21881,plain,
% 50.51/33.04 (v95(constB174) | (~v96(constB174))),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21880, 455, 21857, 21877])).
% 50.51/33.04 tff(21882,plain,
% 50.51/33.04 (v95(constB174)),
% 50.51/33.04 inference(unit_resolution,[status(thm)],[21881, 21874])).
% 50.51/33.04 tff(21883,plain,
% 50.51/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21884,plain,
% 50.51/33.04 (((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174)) <=> ((~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))),
% 50.51/33.04 inference(rewrite,[status(thm)],[])).
% 50.51/33.04 tff(21885,plain,
% 50.51/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174))))),
% 50.51/33.04 inference(monotonicity,[status(thm)],[21884])).
% 50.51/33.04 tff(21886,plain,
% 50.51/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))),
% 50.51/33.04 inference(transitivity,[status(thm)],[21885, 21883])).
% 50.51/33.04 tff(21887,plain,
% 50.51/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174))),
% 50.51/33.04 inference(quant_inst,[status(thm)],[])).
% 50.51/33.04 tff(21888,plain,
% 50.51/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174))),
% 50.51/33.04 inference(modus_ponens,[status(thm)],[21887, 21886])).
% 50.51/33.04 tff(21889,plain,
% 50.51/33.04 (v94(constB174) | (~v95(constB174)) | (~v104(constB174))),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21888, 470, 21857])).
% 50.51/33.05 tff(21890,plain,
% 50.51/33.05 (v94(constB174) | (~v104(constB174))),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21889, 21882])).
% 50.51/33.05 tff(21891,plain,
% 50.51/33.05 (v94(constB174)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21890, 21865])).
% 50.51/33.05 tff(21892,plain,
% 50.51/33.05 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB173)) | v124(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB173)) | v124(constB173, bitIndex2))),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21893,plain,
% 50.51/33.05 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB173)) | v124(constB173, bitIndex2))),
% 50.51/33.05 inference(quant_inst,[status(thm)],[])).
% 50.51/33.05 tff(21894,plain,
% 50.51/33.05 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB173)) | v124(constB173, bitIndex2)),
% 50.51/33.05 inference(modus_ponens,[status(thm)],[21893, 21892])).
% 50.51/33.05 tff(21895,plain,
% 50.51/33.05 (v124(constB173, bitIndex2)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21894, 691, 21817])).
% 50.51/33.05 tff(21896,plain,
% 50.51/33.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB173) | (~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB173) | (~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2))),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21897,plain,
% 50.51/33.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB173) | (~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2))),
% 50.51/33.05 inference(quant_inst,[status(thm)],[])).
% 50.51/33.05 tff(21898,plain,
% 50.51/33.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB173) | (~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2)),
% 50.51/33.05 inference(modus_ponens,[status(thm)],[21897, 21896])).
% 50.51/33.05 tff(21899,plain,
% 50.51/33.05 ((~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21898, 374, 21839])).
% 50.51/33.05 tff(21900,plain,
% 50.51/33.05 (v121(constB173, bitIndex2)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21899, 21895])).
% 50.51/33.05 tff(21901,plain,
% 50.51/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2))),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21902,plain,
% 50.51/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2))),
% 50.51/33.05 inference(quant_inst,[status(thm)],[])).
% 50.51/33.05 tff(21903,plain,
% 50.51/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2)),
% 50.51/33.05 inference(modus_ponens,[status(thm)],[21902, 21901])).
% 50.51/33.05 tff(21904,plain,
% 50.51/33.05 ((~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21903, 389, 21857])).
% 50.51/33.05 tff(21905,plain,
% 50.51/33.05 (v123(constB174, bitIndex2)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21904, 21900])).
% 50.51/33.05 tff(21906,plain,
% 50.51/33.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174)))),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21907,plain,
% 50.51/33.05 ((v84(constB174, bitIndex2) | (~v94(constB174)) | (~v123(constB174, bitIndex2))) <=> (v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174)))),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21908,plain,
% 50.51/33.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v94(constB174)) | (~v123(constB174, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174))))),
% 50.51/33.05 inference(monotonicity,[status(thm)],[21907])).
% 50.51/33.05 tff(21909,plain,
% 50.51/33.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v94(constB174)) | (~v123(constB174, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174)))),
% 50.51/33.05 inference(transitivity,[status(thm)],[21908, 21906])).
% 50.51/33.05 tff(21910,plain,
% 50.51/33.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v94(constB174)) | (~v123(constB174, bitIndex2)))),
% 50.51/33.05 inference(quant_inst,[status(thm)],[])).
% 50.51/33.05 tff(21911,plain,
% 50.51/33.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174))),
% 50.51/33.05 inference(modus_ponens,[status(thm)],[21910, 21909])).
% 50.51/33.05 tff(21912,plain,
% 50.51/33.05 (v84(constB174, bitIndex2) | (~v94(constB174))),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21911, 405, 21905])).
% 50.51/33.05 tff(21913,plain,
% 50.51/33.05 (v84(constB174, bitIndex2)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21912, 21891])).
% 50.51/33.05 tff(21914,plain,
% 50.51/33.05 ((~v1(constB175)) <=> (~v1(constB175))),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21915,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 50.51/33.05 tff(21916,plain,
% 50.51/33.05 (~v1(constB175)),
% 50.51/33.05 inference(modus_ponens,[status(thm)],[21915, 21914])).
% 50.51/33.05 tff(21917,plain,
% 50.51/33.05 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21918,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 50.51/33.05 tff(21919,plain,
% 50.51/33.05 (nextState(constB174, constB175)),
% 50.51/33.05 inference(modus_ponens,[status(thm)],[21918, 21917])).
% 50.51/33.05 tff(21920,plain,
% 50.51/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21921,plain,
% 50.51/33.05 (((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21922,plain,
% 50.51/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175))))),
% 50.51/33.05 inference(monotonicity,[status(thm)],[21921])).
% 50.51/33.05 tff(21923,plain,
% 50.51/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))),
% 50.51/33.05 inference(transitivity,[status(thm)],[21922, 21920])).
% 50.51/33.05 tff(21924,plain,
% 50.51/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175))),
% 50.51/33.05 inference(quant_inst,[status(thm)],[])).
% 50.51/33.05 tff(21925,plain,
% 50.51/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175))),
% 50.51/33.05 inference(modus_ponens,[status(thm)],[21924, 21923])).
% 50.51/33.05 tff(21926,plain,
% 50.51/33.05 (~v95(constB175)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21925, 110, 21919, 21916])).
% 50.51/33.05 tff(21927,plain,
% 50.51/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175)))),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21928,plain,
% 50.51/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175)))),
% 50.51/33.05 inference(quant_inst,[status(thm)],[])).
% 50.51/33.05 tff(21929,plain,
% 50.51/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175))),
% 50.51/33.05 inference(modus_ponens,[status(thm)],[21928, 21927])).
% 50.51/33.05 tff(21930,plain,
% 50.51/33.05 (v95(constB175) | (~v94(constB175))),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21929, 127, 21919])).
% 50.51/33.05 tff(21931,plain,
% 50.51/33.05 (~v94(constB175)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21930, 21926])).
% 50.51/33.05 tff(21932,plain,
% 50.51/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2))),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21933,plain,
% 50.51/33.05 (((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2)) <=> ((~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2))),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21934,plain,
% 50.51/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2)))),
% 50.51/33.05 inference(monotonicity,[status(thm)],[21933])).
% 50.51/33.05 tff(21935,plain,
% 50.51/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2))),
% 50.51/33.05 inference(transitivity,[status(thm)],[21934, 21932])).
% 50.51/33.05 tff(21936,plain,
% 50.51/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2))),
% 50.51/33.05 inference(quant_inst,[status(thm)],[])).
% 50.51/33.05 tff(21937,plain,
% 50.51/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2)),
% 50.51/33.05 inference(modus_ponens,[status(thm)],[21936, 21935])).
% 50.51/33.05 tff(21938,plain,
% 50.51/33.05 ((~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21937, 576, 21919])).
% 50.51/33.05 tff(21939,plain,
% 50.51/33.05 ((~v84(constB174, bitIndex2)) | v84(constB175, bitIndex2)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21938, 21931])).
% 50.51/33.05 tff(21940,plain,
% 50.51/33.05 (v84(constB175, bitIndex2)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21939, 21913])).
% 50.51/33.05 tff(21941,plain,
% 50.51/33.05 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB173)) | v124(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB173)) | v124(constB173, bitIndex1))),
% 50.51/33.05 inference(rewrite,[status(thm)],[])).
% 50.51/33.05 tff(21942,plain,
% 50.51/33.05 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB173)) | v124(constB173, bitIndex1))),
% 50.51/33.05 inference(quant_inst,[status(thm)],[])).
% 50.51/33.05 tff(21943,plain,
% 50.51/33.05 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB173)) | v124(constB173, bitIndex1)),
% 50.51/33.05 inference(modus_ponens,[status(thm)],[21942, 21941])).
% 50.51/33.05 tff(21944,plain,
% 50.51/33.05 (v124(constB173, bitIndex1)),
% 50.51/33.05 inference(unit_resolution,[status(thm)],[21943, 843, 21817])).
% 50.59/33.06 tff(21945,plain,
% 50.59/33.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21946,plain,
% 50.59/33.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1))),
% 50.59/33.06 inference(quant_inst,[status(thm)],[])).
% 50.59/33.06 tff(21947,plain,
% 50.59/33.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1)),
% 50.59/33.06 inference(modus_ponens,[status(thm)],[21946, 21945])).
% 50.59/33.06 tff(21948,plain,
% 50.59/33.06 ((~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21947, 857, 21839])).
% 50.59/33.06 tff(21949,plain,
% 50.59/33.06 (v121(constB173, bitIndex1)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21948, 21944])).
% 50.59/33.06 tff(21950,plain,
% 50.59/33.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21951,plain,
% 50.59/33.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1))),
% 50.59/33.06 inference(quant_inst,[status(thm)],[])).
% 50.59/33.06 tff(21952,plain,
% 50.59/33.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1)),
% 50.59/33.06 inference(modus_ponens,[status(thm)],[21951, 21950])).
% 50.59/33.06 tff(21953,plain,
% 50.59/33.06 ((~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21952, 872, 21857])).
% 50.59/33.06 tff(21954,plain,
% 50.59/33.06 (v123(constB174, bitIndex1)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21953, 21949])).
% 50.59/33.06 tff(21955,plain,
% 50.59/33.06 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21956,plain,
% 50.59/33.06 ((v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1))) <=> (v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21957,plain,
% 50.59/33.06 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174))))),
% 50.59/33.06 inference(monotonicity,[status(thm)],[21956])).
% 50.59/33.06 tff(21958,plain,
% 50.59/33.06 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))),
% 50.59/33.06 inference(transitivity,[status(thm)],[21957, 21955])).
% 50.59/33.06 tff(21959,plain,
% 50.59/33.06 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1)))),
% 50.59/33.06 inference(quant_inst,[status(thm)],[])).
% 50.59/33.06 tff(21960,plain,
% 50.59/33.06 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174))),
% 50.59/33.06 inference(modus_ponens,[status(thm)],[21959, 21958])).
% 50.59/33.06 tff(21961,plain,
% 50.59/33.06 (v84(constB174, bitIndex1) | (~v94(constB174))),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21960, 887, 21954])).
% 50.59/33.06 tff(21962,plain,
% 50.59/33.06 (v84(constB174, bitIndex1)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21961, 21891])).
% 50.59/33.06 tff(21963,plain,
% 50.59/33.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21964,plain,
% 50.59/33.06 (((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1)) <=> ((~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21965,plain,
% 50.59/33.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1)))),
% 50.59/33.06 inference(monotonicity,[status(thm)],[21964])).
% 50.59/33.06 tff(21966,plain,
% 50.59/33.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))),
% 50.59/33.06 inference(transitivity,[status(thm)],[21965, 21963])).
% 50.59/33.06 tff(21967,plain,
% 50.59/33.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1))),
% 50.59/33.06 inference(quant_inst,[status(thm)],[])).
% 50.59/33.06 tff(21968,plain,
% 50.59/33.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1)),
% 50.59/33.06 inference(modus_ponens,[status(thm)],[21967, 21966])).
% 50.59/33.06 tff(21969,plain,
% 50.59/33.06 ((~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21968, 905, 21919])).
% 50.59/33.06 tff(21970,plain,
% 50.59/33.06 ((~v84(constB174, bitIndex1)) | v84(constB175, bitIndex1)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21969, 21931])).
% 50.59/33.06 tff(21971,plain,
% 50.59/33.06 (v84(constB175, bitIndex1)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21970, 21962])).
% 50.59/33.06 tff(21972,plain,
% 50.59/33.06 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB173)) | (~v124(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB173)) | (~v124(constB173, bitIndex0)))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21973,plain,
% 50.59/33.06 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB173)) | (~v124(constB173, bitIndex0)))),
% 50.59/33.06 inference(quant_inst,[status(thm)],[])).
% 50.59/33.06 tff(21974,plain,
% 50.59/33.06 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB173)) | (~v124(constB173, bitIndex0))),
% 50.59/33.06 inference(modus_ponens,[status(thm)],[21973, 21972])).
% 50.59/33.06 tff(21975,plain,
% 50.59/33.06 (~v124(constB173, bitIndex0)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21974, 921, 21817])).
% 50.59/33.06 tff(21976,plain,
% 50.59/33.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21977,plain,
% 50.59/33.06 ((v26(constB173) | v124(constB173, bitIndex0) | (~v121(constB173, bitIndex0))) <=> ((~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21978,plain,
% 50.59/33.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB173) | v124(constB173, bitIndex0) | (~v121(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0)))),
% 50.59/33.06 inference(monotonicity,[status(thm)],[21977])).
% 50.59/33.06 tff(21979,plain,
% 50.59/33.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB173) | v124(constB173, bitIndex0) | (~v121(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0))),
% 50.59/33.06 inference(transitivity,[status(thm)],[21978, 21976])).
% 50.59/33.06 tff(21980,plain,
% 50.59/33.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB173) | v124(constB173, bitIndex0) | (~v121(constB173, bitIndex0)))),
% 50.59/33.06 inference(quant_inst,[status(thm)],[])).
% 50.59/33.06 tff(21981,plain,
% 50.59/33.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0)),
% 50.59/33.06 inference(modus_ponens,[status(thm)],[21980, 21979])).
% 50.59/33.06 tff(21982,plain,
% 50.59/33.06 ((~v121(constB173, bitIndex0)) | v124(constB173, bitIndex0)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21981, 607, 21839])).
% 50.59/33.06 tff(21983,plain,
% 50.59/33.06 (~v121(constB173, bitIndex0)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21982, 21975])).
% 50.59/33.06 tff(21984,plain,
% 50.59/33.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0)))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21985,plain,
% 50.59/33.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0)))),
% 50.59/33.06 inference(quant_inst,[status(thm)],[])).
% 50.59/33.06 tff(21986,plain,
% 50.59/33.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0))),
% 50.59/33.06 inference(modus_ponens,[status(thm)],[21985, 21984])).
% 50.59/33.06 tff(21987,plain,
% 50.59/33.06 (v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0))),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21986, 637, 21857])).
% 50.59/33.06 tff(21988,plain,
% 50.59/33.06 (~v123(constB174, bitIndex0)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21987, 21983])).
% 50.59/33.06 tff(21989,plain,
% 50.59/33.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174)))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21990,plain,
% 50.59/33.06 (((~v84(constB174, bitIndex0)) | (~v94(constB174)) | v123(constB174, bitIndex0)) <=> ((~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174)))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21991,plain,
% 50.59/33.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~v94(constB174)) | v123(constB174, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174))))),
% 50.59/33.06 inference(monotonicity,[status(thm)],[21990])).
% 50.59/33.06 tff(21992,plain,
% 50.59/33.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~v94(constB174)) | v123(constB174, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174)))),
% 50.59/33.06 inference(transitivity,[status(thm)],[21991, 21989])).
% 50.59/33.06 tff(21993,plain,
% 50.59/33.06 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~v94(constB174)) | v123(constB174, bitIndex0))),
% 50.59/33.06 inference(quant_inst,[status(thm)],[])).
% 50.59/33.06 tff(21994,plain,
% 50.59/33.06 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174))),
% 50.59/33.06 inference(modus_ponens,[status(thm)],[21993, 21992])).
% 50.59/33.06 tff(21995,plain,
% 50.59/33.06 ((~v84(constB174, bitIndex0)) | (~v94(constB174))),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21994, 652, 21988])).
% 50.59/33.06 tff(21996,plain,
% 50.59/33.06 (~v84(constB174, bitIndex0)),
% 50.59/33.06 inference(unit_resolution,[status(thm)],[21995, 21891])).
% 50.59/33.06 tff(21997,plain,
% 50.59/33.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0)))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21998,plain,
% 50.59/33.06 (((~nextState(constB174, constB175)) | v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0))) <=> (v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0)))),
% 50.59/33.06 inference(rewrite,[status(thm)],[])).
% 50.59/33.06 tff(21999,plain,
% 50.59/33.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0))))),
% 50.59/33.07 inference(monotonicity,[status(thm)],[21998])).
% 50.59/33.07 tff(22000,plain,
% 50.59/33.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0)))),
% 50.59/33.07 inference(transitivity,[status(thm)],[21999, 21997])).
% 50.59/33.07 tff(22001,plain,
% 50.59/33.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0)))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22002,plain,
% 50.59/33.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0))),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22001, 22000])).
% 50.59/33.07 tff(22003,plain,
% 50.59/33.07 (v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0))),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22002, 184, 21919])).
% 50.59/33.07 tff(22004,plain,
% 50.59/33.07 (v84(constB174, bitIndex0) | (~v84(constB175, bitIndex0))),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22003, 21931])).
% 50.59/33.07 tff(22005,plain,
% 50.59/33.07 (~v84(constB175, bitIndex0)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22004, 21996])).
% 50.59/33.07 tff(22006,plain,
% 50.59/33.07 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2)) | v119(constB175))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2)) | v119(constB175))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22007,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2)) | v119(constB175))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22008,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2)) | v119(constB175)),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22007, 22006])).
% 50.59/33.07 tff(22009,plain,
% 50.59/33.07 (v119(constB175)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22008, 965, 22005, 21971, 21940])).
% 50.59/33.07 tff(22010,plain,
% 50.59/33.07 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB175)) | v107(constB175))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB175)) | v107(constB175))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22011,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB175)) | v107(constB175))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22012,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB175)) | v107(constB175)),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22011, 22010])).
% 50.59/33.07 tff(22013,plain,
% 50.59/33.07 (v107(constB175)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22012, 976, 22009])).
% 50.59/33.07 tff(22014,assumption,(v26(constB175)), introduced(assumption)).
% 50.59/33.07 tff(22015,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB175))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22016,plain,
% 50.59/33.07 ($false),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22015, 55, 22014])).
% 50.59/33.07 tff(22017,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 50.59/33.07 tff(22018,plain,
% 50.59/33.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB175) | (~v107(constB175)) | v106(constB175))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB175) | (~v107(constB175)) | v106(constB175))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22019,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB175) | (~v107(constB175)) | v106(constB175))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22020,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB175) | (~v107(constB175)) | v106(constB175)),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22019, 22018])).
% 50.59/33.07 tff(22021,plain,
% 50.59/33.07 ((~v107(constB175)) | v106(constB175)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22020, 348, 22017])).
% 50.59/33.07 tff(22022,plain,
% 50.59/33.07 (v106(constB175)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22021, 22013])).
% 50.59/33.07 tff(22023,plain,
% 50.59/33.07 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB175) | (~v106(constB175)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB175) | (~v106(constB175)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22024,plain,
% 50.59/33.07 (((~v106(constB175)) | v102(constB175)) <=> (v102(constB175) | (~v106(constB175)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22025,plain,
% 50.59/33.07 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB175)) | v102(constB175))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB175) | (~v106(constB175))))),
% 50.59/33.07 inference(monotonicity,[status(thm)],[22024])).
% 50.59/33.07 tff(22026,plain,
% 50.59/33.07 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB175)) | v102(constB175))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB175) | (~v106(constB175)))),
% 50.59/33.07 inference(transitivity,[status(thm)],[22025, 22023])).
% 50.59/33.07 tff(22027,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB175)) | v102(constB175))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22028,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB175) | (~v106(constB175))),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22027, 22026])).
% 50.59/33.07 tff(22029,plain,
% 50.59/33.07 (v102(constB175)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22028, 504, 22022])).
% 50.59/33.07 tff(22030,plain,
% 50.59/33.07 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22031,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 50.59/33.07 tff(22032,plain,
% 50.59/33.07 (nextState(constB175, constB176)),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22031, 22030])).
% 50.59/33.07 tff(22033,plain,
% 50.59/33.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22034,plain,
% 50.59/33.07 (((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176)) <=> ((~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22035,plain,
% 50.59/33.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175))))),
% 50.59/33.07 inference(monotonicity,[status(thm)],[22034])).
% 50.59/33.07 tff(22036,plain,
% 50.59/33.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))),
% 50.59/33.07 inference(transitivity,[status(thm)],[22035, 22033])).
% 50.59/33.07 tff(22037,plain,
% 50.59/33.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22038,plain,
% 50.59/33.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175))),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22037, 22036])).
% 50.59/33.07 tff(22039,plain,
% 50.59/33.07 (v104(constB176) | (~v102(constB175))),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22038, 489, 22032])).
% 50.59/33.07 tff(22040,plain,
% 50.59/33.07 (v104(constB176)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22039, 22029])).
% 50.59/33.07 tff(22041,plain,
% 50.59/33.07 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22042,plain,
% 50.59/33.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176)))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22043,plain,
% 50.59/33.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176))),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22042, 22041])).
% 50.59/33.07 tff(22044,plain,
% 50.59/33.07 (~v98(constB176)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22043, 423, 22032, 21916])).
% 50.59/33.07 tff(22045,plain,
% 50.59/33.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB175, constB176)) | v96(constB176) | v98(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB175, constB176)) | v96(constB176) | v98(constB176))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22046,plain,
% 50.59/33.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB175, constB176)) | v96(constB176) | v98(constB176))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22047,plain,
% 50.59/33.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB175, constB176)) | v96(constB176) | v98(constB176)),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22046, 22045])).
% 50.59/33.07 tff(22048,plain,
% 50.59/33.07 (v96(constB176) | v98(constB176)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22047, 437, 22032])).
% 50.59/33.07 tff(22049,plain,
% 50.59/33.07 (v96(constB176)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22048, 22044])).
% 50.59/33.07 tff(22050,plain,
% 50.59/33.07 (v1(constB176) <=> v1(constB176)),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22051,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 50.59/33.07 tff(22052,plain,
% 50.59/33.07 (v1(constB176)),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22051, 22050])).
% 50.59/33.07 tff(22053,plain,
% 50.59/33.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22054,plain,
% 50.59/33.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176)))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22055,plain,
% 50.59/33.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176))),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22054, 22053])).
% 50.59/33.07 tff(22056,plain,
% 50.59/33.07 (v95(constB176) | (~v96(constB176))),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22055, 455, 22032, 22052])).
% 50.59/33.07 tff(22057,plain,
% 50.59/33.07 (v95(constB176)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22056, 22049])).
% 50.59/33.07 tff(22058,plain,
% 50.59/33.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22059,plain,
% 50.59/33.07 (((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176)) <=> ((~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22060,plain,
% 50.59/33.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176))))),
% 50.59/33.07 inference(monotonicity,[status(thm)],[22059])).
% 50.59/33.07 tff(22061,plain,
% 50.59/33.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))),
% 50.59/33.07 inference(transitivity,[status(thm)],[22060, 22058])).
% 50.59/33.07 tff(22062,plain,
% 50.59/33.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22063,plain,
% 50.59/33.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176))),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22062, 22061])).
% 50.59/33.07 tff(22064,plain,
% 50.59/33.07 (v94(constB176) | (~v95(constB176)) | (~v104(constB176))),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22063, 470, 22032])).
% 50.59/33.07 tff(22065,plain,
% 50.59/33.07 (v94(constB176) | (~v104(constB176))),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22064, 22057])).
% 50.59/33.07 tff(22066,plain,
% 50.59/33.07 (v94(constB176)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22065, 22040])).
% 50.59/33.07 tff(22067,plain,
% 50.59/33.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB175)) | (~v84(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB175)) | (~v84(constB175, bitIndex2)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22068,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB175)) | (~v84(constB175, bitIndex2)))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22069,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB175)) | (~v84(constB175, bitIndex2))),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22068, 22067])).
% 50.59/33.07 tff(22070,plain,
% 50.59/33.07 (~v115(constB175)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22069, 1036, 21940])).
% 50.59/33.07 tff(22071,plain,
% 50.59/33.07 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB175)) | (~v84(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB175)) | (~v84(constB175, bitIndex1)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22072,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB175)) | (~v84(constB175, bitIndex1)))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22073,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB175)) | (~v84(constB175, bitIndex1))),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22072, 22071])).
% 50.59/33.07 tff(22074,plain,
% 50.59/33.07 (~v118(constB175)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22073, 1069, 21971])).
% 50.59/33.07 tff(22075,plain,
% 50.59/33.07 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB175)) | (~v84(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB175)) | (~v84(constB175, bitIndex1)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22076,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB175)) | (~v84(constB175, bitIndex1)))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22077,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB175)) | (~v84(constB175, bitIndex1))),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22076, 22075])).
% 50.59/33.07 tff(22078,plain,
% 50.59/33.07 (~v172(constB175)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22077, 1080, 21971])).
% 50.59/33.07 tff(22079,plain,
% 50.59/33.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB175)) | (~v84(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB175)) | (~v84(constB175, bitIndex2)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22080,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB175)) | (~v84(constB175, bitIndex2)))),
% 50.59/33.07 inference(quant_inst,[status(thm)],[])).
% 50.59/33.07 tff(22081,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB175)) | (~v84(constB175, bitIndex2))),
% 50.59/33.07 inference(modus_ponens,[status(thm)],[22080, 22079])).
% 50.59/33.07 tff(22082,plain,
% 50.59/33.07 (~v116(constB175)),
% 50.59/33.07 inference(unit_resolution,[status(thm)],[22081, 1047, 21940])).
% 50.59/33.07 tff(22083,plain,
% 50.59/33.07 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB175)) | (~v84(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB175)) | (~v84(constB175, bitIndex1)))),
% 50.59/33.07 inference(rewrite,[status(thm)],[])).
% 50.59/33.07 tff(22084,plain,
% 50.59/33.07 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB175)) | (~v84(constB175, bitIndex1)))),
% 50.59/33.08 inference(quant_inst,[status(thm)],[])).
% 50.59/33.08 tff(22085,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB175)) | (~v84(constB175, bitIndex1))),
% 50.59/33.08 inference(modus_ponens,[status(thm)],[22084, 22083])).
% 50.59/33.08 tff(22086,plain,
% 50.59/33.08 (~v145(constB175)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22085, 1091, 21971])).
% 50.59/33.08 tff(22087,assumption,(v113(constB175)), introduced(assumption)).
% 50.59/33.08 tff(22088,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB175)) | (~v84(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB175)) | (~v84(constB175, bitIndex2)))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22089,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB175)) | (~v84(constB175, bitIndex2)))),
% 50.59/33.08 inference(quant_inst,[status(thm)],[])).
% 50.59/33.08 tff(22090,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB175)) | (~v84(constB175, bitIndex2))),
% 50.59/33.08 inference(modus_ponens,[status(thm)],[22089, 22088])).
% 50.59/33.08 tff(22091,plain,
% 50.59/33.08 (~v84(constB175, bitIndex2)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22090, 4280, 22087])).
% 50.59/33.08 tff(22092,plain,
% 50.59/33.08 (~v84(constB174, bitIndex2)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[21939, 22091])).
% 50.59/33.08 tff(22093,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB175)) | (~v84(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB175)) | (~v84(constB175, bitIndex1)))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22094,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB175)) | (~v84(constB175, bitIndex1)))),
% 50.59/33.08 inference(quant_inst,[status(thm)],[])).
% 50.59/33.08 tff(22095,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB175)) | (~v84(constB175, bitIndex1))),
% 50.59/33.08 inference(modus_ponens,[status(thm)],[22094, 22093])).
% 50.59/33.08 tff(22096,plain,
% 50.59/33.08 (~v84(constB175, bitIndex1)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22095, 1058, 22087])).
% 50.59/33.08 tff(22097,plain,
% 50.59/33.08 (~v84(constB174, bitIndex1)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[21970, 22096])).
% 50.59/33.08 tff(22098,assumption,(~v102(constB173)), introduced(assumption)).
% 50.59/33.08 tff(22099,plain,
% 50.59/33.08 (~v106(constB173)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[21853, 504, 22098])).
% 50.59/33.08 tff(22100,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB173) | (~v26(constB173)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB173) | (~v26(constB173)))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22101,plain,
% 50.59/33.08 (((~v26(constB173)) | v102(constB173)) <=> (v102(constB173) | (~v26(constB173)))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22102,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB173)) | v102(constB173))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB173) | (~v26(constB173))))),
% 50.59/33.08 inference(monotonicity,[status(thm)],[22101])).
% 50.59/33.08 tff(22103,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB173)) | v102(constB173))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB173) | (~v26(constB173)))),
% 50.59/33.08 inference(transitivity,[status(thm)],[22102, 22100])).
% 50.59/33.08 tff(22104,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB173)) | v102(constB173))),
% 50.59/33.08 inference(quant_inst,[status(thm)],[])).
% 50.59/33.08 tff(22105,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB173) | (~v26(constB173))),
% 50.59/33.08 inference(modus_ponens,[status(thm)],[22104, 22103])).
% 50.59/33.08 tff(22106,plain,
% 50.59/33.08 (~v26(constB173)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22105, 723, 22098])).
% 50.59/33.08 tff(22107,plain,
% 50.59/33.08 (~v107(constB173)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[21845, 348, 22106, 22099])).
% 50.59/33.08 tff(22108,plain,
% 50.59/33.08 (~v108(constB173)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[21834, 334, 22107])).
% 50.59/33.08 tff(22109,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v118(constB173)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v118(constB173)))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22110,plain,
% 50.59/33.08 (((~v118(constB173)) | v108(constB173)) <=> (v108(constB173) | (~v118(constB173)))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22111,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v118(constB173))))),
% 50.59/33.08 inference(monotonicity,[status(thm)],[22110])).
% 50.59/33.08 tff(22112,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v118(constB173)))),
% 50.59/33.08 inference(transitivity,[status(thm)],[22111, 22109])).
% 50.59/33.08 tff(22113,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB173)) | v108(constB173))),
% 50.59/33.08 inference(quant_inst,[status(thm)],[])).
% 50.59/33.08 tff(22114,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v118(constB173))),
% 50.59/33.08 inference(modus_ponens,[status(thm)],[22113, 22112])).
% 50.59/33.08 tff(22115,plain,
% 50.59/33.08 (~v118(constB173)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22114, 3053, 22108])).
% 50.59/33.08 tff(22116,plain,
% 50.59/33.08 (~v109(constB173)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[21827, 320, 22108])).
% 50.59/33.08 tff(22117,plain,
% 50.59/33.08 (~v172(constB173)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[21820, 740, 22116])).
% 50.59/33.08 tff(22118,assumption,(~v84(constB174, bitIndex1)), introduced(assumption)).
% 50.59/33.08 tff(22119,plain,
% 50.59/33.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB173, constB174)) | (~v104(constB174)) | v102(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB173, constB174)) | (~v104(constB174)) | v102(constB173))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22120,plain,
% 50.59/33.08 (((~nextState(constB173, constB174)) | v102(constB173) | (~v104(constB174))) <=> ((~nextState(constB173, constB174)) | (~v104(constB174)) | v102(constB173))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22121,plain,
% 50.59/33.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB173, constB174)) | v102(constB173) | (~v104(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB173, constB174)) | (~v104(constB174)) | v102(constB173)))),
% 50.59/33.08 inference(monotonicity,[status(thm)],[22120])).
% 50.59/33.08 tff(22122,plain,
% 50.59/33.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB173, constB174)) | v102(constB173) | (~v104(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB173, constB174)) | (~v104(constB174)) | v102(constB173))),
% 50.59/33.08 inference(transitivity,[status(thm)],[22121, 22119])).
% 50.59/33.08 tff(22123,plain,
% 50.59/33.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB173, constB174)) | v102(constB173) | (~v104(constB174)))),
% 50.59/33.08 inference(quant_inst,[status(thm)],[])).
% 50.59/33.08 tff(22124,plain,
% 50.59/33.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB173, constB174)) | (~v104(constB174)) | v102(constB173)),
% 50.59/33.08 inference(modus_ponens,[status(thm)],[22123, 22122])).
% 50.59/33.08 tff(22125,plain,
% 50.59/33.08 ((~v104(constB174)) | v102(constB173)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22124, 3297, 21857])).
% 50.59/33.08 tff(22126,plain,
% 50.59/33.08 (~v104(constB174)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22125, 22098])).
% 50.59/33.08 tff(22127,plain,
% 50.59/33.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB173, constB174)) | v104(constB174) | (~v94(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v94(constB174)))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22128,plain,
% 50.59/33.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB173, constB174)) | v104(constB174) | (~v94(constB174)))),
% 50.59/33.08 inference(quant_inst,[status(thm)],[])).
% 50.59/33.08 tff(22129,plain,
% 50.59/33.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v94(constB174))),
% 50.59/33.08 inference(modus_ponens,[status(thm)],[22128, 22127])).
% 50.59/33.08 tff(22130,plain,
% 50.59/33.08 (v104(constB174) | (~v94(constB174))),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22129, 3282, 21857])).
% 50.59/33.08 tff(22131,plain,
% 50.59/33.08 (~v94(constB174)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22130, 22126])).
% 50.59/33.08 tff(22132,plain,
% 50.59/33.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex1))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22133,plain,
% 50.59/33.08 (((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex1)) | v94(constB174) | v84(constB174, bitIndex1)) <=> ((~v84(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex1))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22134,plain,
% 50.59/33.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex1)) | v94(constB174) | v84(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex1)))),
% 50.59/33.08 inference(monotonicity,[status(thm)],[22133])).
% 50.59/33.08 tff(22135,plain,
% 50.59/33.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex1)) | v94(constB174) | v84(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex1))),
% 50.59/33.08 inference(transitivity,[status(thm)],[22134, 22132])).
% 50.59/33.08 tff(22136,plain,
% 50.59/33.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex1)) | v94(constB174) | v84(constB174, bitIndex1))),
% 50.59/33.08 inference(quant_inst,[status(thm)],[])).
% 50.59/33.08 tff(22137,plain,
% 50.59/33.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex1)),
% 50.59/33.08 inference(modus_ponens,[status(thm)],[22136, 22135])).
% 50.59/33.08 tff(22138,plain,
% 50.59/33.08 ((~v84(constB173, bitIndex1)) | v94(constB174) | v84(constB174, bitIndex1)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22137, 905, 21857])).
% 50.59/33.08 tff(22139,plain,
% 50.59/33.08 (~v84(constB173, bitIndex1)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22138, 22131, 22118])).
% 50.59/33.08 tff(22140,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB173)) | v109(constB173))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB173)) | v109(constB173))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22141,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB173)) | v109(constB173))),
% 50.59/33.08 inference(quant_inst,[status(thm)],[])).
% 50.59/33.08 tff(22142,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB173)) | v109(constB173)),
% 50.59/33.08 inference(modus_ponens,[status(thm)],[22141, 22140])).
% 50.59/33.08 tff(22143,plain,
% 50.59/33.08 (~v110(constB173)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22142, 306, 22116])).
% 50.59/33.08 tff(22144,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB173) | (~v111(constB173)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB173) | (~v111(constB173)))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22145,plain,
% 50.59/33.08 (((~v111(constB173)) | v110(constB173)) <=> (v110(constB173) | (~v111(constB173)))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22146,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB173)) | v110(constB173))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB173) | (~v111(constB173))))),
% 50.59/33.08 inference(monotonicity,[status(thm)],[22145])).
% 50.59/33.08 tff(22147,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB173)) | v110(constB173))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB173) | (~v111(constB173)))),
% 50.59/33.08 inference(transitivity,[status(thm)],[22146, 22144])).
% 50.59/33.08 tff(22148,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB173)) | v110(constB173))),
% 50.59/33.08 inference(quant_inst,[status(thm)],[])).
% 50.59/33.08 tff(22149,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB173) | (~v111(constB173))),
% 50.59/33.08 inference(modus_ponens,[status(thm)],[22148, 22147])).
% 50.59/33.08 tff(22150,plain,
% 50.59/33.08 (~v111(constB173)),
% 50.59/33.08 inference(unit_resolution,[status(thm)],[22149, 292, 22143])).
% 50.59/33.08 tff(22151,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB173) | (~v112(constB173)))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22152,plain,
% 50.59/33.08 (((~v112(constB173)) | v111(constB173)) <=> (v111(constB173) | (~v112(constB173)))),
% 50.59/33.08 inference(rewrite,[status(thm)],[])).
% 50.59/33.08 tff(22153,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB173)) | v111(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB173) | (~v112(constB173))))),
% 50.59/33.08 inference(monotonicity,[status(thm)],[22152])).
% 50.59/33.08 tff(22154,plain,
% 50.59/33.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB173)) | v111(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB173) | (~v112(constB173)))),
% 50.59/33.08 inference(transitivity,[status(thm)],[22153, 22151])).
% 50.59/33.08 tff(22155,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB173)) | v111(constB173))),
% 50.59/33.08 inference(quant_inst,[status(thm)],[])).
% 50.59/33.08 tff(22156,plain,
% 50.59/33.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB173) | (~v112(constB173))),
% 50.59/33.08 inference(modus_ponens,[status(thm)],[22155, 22154])).
% 50.59/33.09 tff(22157,plain,
% 50.59/33.09 (~v112(constB173)),
% 50.59/33.09 inference(unit_resolution,[status(thm)],[22156, 278, 22150])).
% 50.59/33.09 tff(22158,plain,
% 50.59/33.09 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB173) | (~v113(constB173)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB173) | (~v113(constB173)))),
% 50.59/33.09 inference(rewrite,[status(thm)],[])).
% 50.59/33.09 tff(22159,plain,
% 50.59/33.09 (((~v113(constB173)) | v112(constB173)) <=> (v112(constB173) | (~v113(constB173)))),
% 50.59/33.09 inference(rewrite,[status(thm)],[])).
% 50.59/33.09 tff(22160,plain,
% 50.59/33.09 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB173) | (~v113(constB173))))),
% 50.59/33.09 inference(monotonicity,[status(thm)],[22159])).
% 50.59/33.09 tff(22161,plain,
% 50.59/33.09 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB173) | (~v113(constB173)))),
% 50.59/33.09 inference(transitivity,[status(thm)],[22160, 22158])).
% 50.59/33.09 tff(22162,plain,
% 50.59/33.09 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB173)) | v112(constB173))),
% 50.59/33.09 inference(quant_inst,[status(thm)],[])).
% 50.59/33.09 tff(22163,plain,
% 50.59/33.09 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB173) | (~v113(constB173))),
% 50.59/33.09 inference(modus_ponens,[status(thm)],[22162, 22161])).
% 50.59/33.09 tff(22164,plain,
% 50.59/33.09 (~v113(constB173)),
% 50.59/33.09 inference(unit_resolution,[status(thm)],[22163, 267, 22157])).
% 50.59/33.09 tff(22165,assumption,(~v113(constB173)), introduced(assumption)).
% 50.59/33.09 tff(22166,assumption,(~v84(constB173, bitIndex0)), introduced(assumption)).
% 50.59/33.09 tff(22167,assumption,(~v172(constB173)), introduced(assumption)).
% 50.59/33.09 tff(22168,assumption,(~v84(constB173, bitIndex1)), introduced(assumption)).
% 50.59/33.09 tff(22169,plain,
% 50.59/33.09 (v84(constB173, bitIndex0) | (~v84(constB173, bitIndex2)) | v172(constB173)),
% 50.59/33.09 inference(unit_resolution,[status(thm)],[21816, 679, 22168])).
% 50.59/33.09 tff(22170,plain,
% 50.59/33.09 (~v84(constB173, bitIndex2)),
% 50.59/33.09 inference(unit_resolution,[status(thm)],[22169, 22166, 22167])).
% 50.59/33.09 tff(22171,plain,
% 50.59/33.09 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v113(constB173))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v113(constB173))),
% 50.59/33.09 inference(rewrite,[status(thm)],[])).
% 50.59/33.09 tff(22172,plain,
% 50.59/33.09 ((v84(constB173, bitIndex0) | v113(constB173) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2)) <=> (v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v113(constB173))),
% 50.59/33.09 inference(rewrite,[status(thm)],[])).
% 50.59/33.09 tff(22173,plain,
% 50.59/33.09 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB173, bitIndex0) | v113(constB173) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v113(constB173)))),
% 50.59/33.09 inference(monotonicity,[status(thm)],[22172])).
% 50.59/33.09 tff(22174,plain,
% 50.59/33.09 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB173, bitIndex0) | v113(constB173) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v113(constB173))),
% 50.59/33.09 inference(transitivity,[status(thm)],[22173, 22171])).
% 50.59/33.09 tff(22175,plain,
% 50.59/33.09 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB173, bitIndex0) | v113(constB173) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2))),
% 50.59/33.09 inference(quant_inst,[status(thm)],[])).
% 50.59/33.09 tff(22176,plain,
% 50.59/33.09 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v113(constB173)),
% 50.59/33.09 inference(modus_ponens,[status(thm)],[22175, 22174])).
% 50.59/33.09 tff(22177,plain,
% 50.59/33.09 (v84(constB173, bitIndex0) | v84(constB173, bitIndex2) | v113(constB173)),
% 50.59/33.09 inference(unit_resolution,[status(thm)],[22176, 205, 22168])).
% 50.59/33.09 tff(22178,plain,
% 50.59/33.09 ($false),
% 50.59/33.09 inference(unit_resolution,[status(thm)],[22177, 22170, 22166, 22165])).
% 50.59/33.09 tff(22179,plain,(v84(constB173, bitIndex0) | v113(constB173) | v84(constB173, bitIndex1) | v172(constB173)), inference(lemma,lemma(discharge,[]))).
% 50.59/33.09 tff(22180,plain,
% 50.59/33.09 (v84(constB173, bitIndex0)),
% 50.59/33.09 inference(unit_resolution,[status(thm)],[22179, 22164, 22139, 22117])).
% 50.59/33.09 tff(22181,plain,
% 50.59/33.09 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB173) | (~v145(constB173)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB173) | (~v145(constB173)))),
% 50.59/33.09 inference(rewrite,[status(thm)],[])).
% 50.59/33.09 tff(22182,plain,
% 50.59/33.09 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB173) | (~v145(constB173)))),
% 50.59/33.09 inference(quant_inst,[status(thm)],[])).
% 50.59/33.09 tff(22183,plain,
% 50.59/33.09 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB173) | (~v145(constB173))),
% 50.59/33.09 inference(modus_ponens,[status(thm)],[22182, 22181])).
% 50.59/33.09 tff(22184,plain,
% 50.59/33.09 (~v145(constB173)),
% 50.59/33.09 inference(unit_resolution,[status(thm)],[22183, 1253, 22157])).
% 50.59/33.09 tff(22185,plain,
% 50.59/33.09 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB173, bitIndex0)) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v145(constB173))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB173, bitIndex0)) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v145(constB173))),
% 50.59/33.09 inference(rewrite,[status(thm)],[])).
% 50.59/33.09 tff(22186,plain,
% 50.59/33.09 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB173, bitIndex0)) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v145(constB173))),
% 50.59/33.09 inference(quant_inst,[status(thm)],[])).
% 50.59/33.09 tff(22187,plain,
% 50.59/33.09 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB173, bitIndex0)) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v145(constB173)),
% 50.59/33.09 inference(modus_ponens,[status(thm)],[22186, 22185])).
% 50.59/33.09 tff(22188,plain,
% 50.59/33.09 ((~v84(constB173, bitIndex0)) | v84(constB173, bitIndex2) | v145(constB173)),
% 50.59/33.09 inference(unit_resolution,[status(thm)],[22187, 1268, 22139])).
% 50.59/33.09 tff(22189,plain,
% 50.59/33.09 (v84(constB173, bitIndex2)),
% 50.59/33.09 inference(unit_resolution,[status(thm)],[22188, 22180, 22184])).
% 50.59/33.09 tff(22190,plain,
% 50.59/33.09 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB173, bitIndex0)) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v118(constB173))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB173, bitIndex0)) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v118(constB173))),
% 50.59/33.09 inference(rewrite,[status(thm)],[])).
% 50.59/33.09 tff(22191,plain,
% 50.59/33.09 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB173, bitIndex0)) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v118(constB173))),
% 50.62/33.09 inference(quant_inst,[status(thm)],[])).
% 50.62/33.09 tff(22192,plain,
% 50.62/33.09 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB173, bitIndex0)) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v118(constB173)),
% 50.62/33.09 inference(modus_ponens,[status(thm)],[22191, 22190])).
% 50.62/33.09 tff(22193,plain,
% 50.62/33.09 ((~v84(constB173, bitIndex0)) | (~v84(constB173, bitIndex2)) | v118(constB173)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[22192, 3042, 22139])).
% 50.62/33.09 tff(22194,plain,
% 50.62/33.09 ($false),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[22193, 22189, 22180, 22115])).
% 50.62/33.09 tff(22195,plain,(v102(constB173) | v84(constB174, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 50.62/33.09 tff(22196,plain,
% 50.62/33.09 (v102(constB173)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[22195, 22097])).
% 50.62/33.09 tff(22197,plain,
% 50.62/33.09 (v104(constB174)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[21864, 22196])).
% 50.62/33.09 tff(22198,plain,
% 50.62/33.09 (v94(constB174)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[21890, 22197])).
% 50.62/33.09 tff(22199,plain,
% 50.62/33.09 (~v123(constB174, bitIndex2)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[21911, 405, 22198, 22092])).
% 50.62/33.09 tff(22200,plain,
% 50.62/33.09 (~v121(constB173, bitIndex2)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[21904, 22199])).
% 50.62/33.09 tff(22201,plain,
% 50.62/33.09 (~v124(constB173, bitIndex2)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[21899, 22200])).
% 50.62/33.09 tff(22202,plain,
% 50.62/33.09 (~v172(constB173)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[21894, 691, 22201])).
% 50.62/33.09 tff(22203,plain,
% 50.62/33.09 (~v123(constB174, bitIndex1)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[21960, 887, 22198, 22097])).
% 50.62/33.09 tff(22204,plain,
% 50.62/33.09 (~v121(constB173, bitIndex1)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[21953, 22203])).
% 50.62/33.09 tff(22205,plain,
% 50.62/33.09 (~v124(constB173, bitIndex1)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[21948, 22204])).
% 50.62/33.09 tff(22206,plain,
% 50.62/33.09 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB173)) | v124(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB173)) | v124(constB173, bitIndex1))),
% 50.62/33.09 inference(rewrite,[status(thm)],[])).
% 50.62/33.09 tff(22207,plain,
% 50.62/33.09 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB173)) | v124(constB173, bitIndex1))),
% 50.62/33.09 inference(quant_inst,[status(thm)],[])).
% 50.62/33.09 tff(22208,plain,
% 50.62/33.09 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB173)) | v124(constB173, bitIndex1)),
% 50.62/33.09 inference(modus_ponens,[status(thm)],[22207, 22206])).
% 50.62/33.09 tff(22209,plain,
% 50.62/33.09 (~v145(constB173)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[22208, 1512, 22205])).
% 50.62/33.09 tff(22210,plain,
% 50.62/33.09 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB175)) | (~v84(constB175, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB175)) | (~v84(constB175, bitIndex0)))),
% 50.62/33.09 inference(rewrite,[status(thm)],[])).
% 50.62/33.09 tff(22211,plain,
% 50.62/33.09 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB175)) | (~v84(constB175, bitIndex0)))),
% 50.62/33.09 inference(quant_inst,[status(thm)],[])).
% 50.62/33.09 tff(22212,plain,
% 50.62/33.09 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB175)) | (~v84(constB175, bitIndex0))),
% 50.62/33.09 inference(modus_ponens,[status(thm)],[22211, 22210])).
% 50.62/33.09 tff(22213,plain,
% 50.62/33.09 (~v84(constB175, bitIndex0)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[22212, 3212, 22087])).
% 50.62/33.09 tff(22214,plain,
% 50.62/33.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0))),
% 50.62/33.09 inference(rewrite,[status(thm)],[])).
% 50.62/33.09 tff(22215,plain,
% 50.62/33.09 (((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0)) <=> ((~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0))),
% 50.62/33.09 inference(rewrite,[status(thm)],[])).
% 50.62/33.09 tff(22216,plain,
% 50.62/33.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0)))),
% 50.62/33.09 inference(monotonicity,[status(thm)],[22215])).
% 50.62/33.09 tff(22217,plain,
% 50.62/33.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0))),
% 50.62/33.09 inference(transitivity,[status(thm)],[22216, 22214])).
% 50.62/33.09 tff(22218,plain,
% 50.62/33.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0))),
% 50.62/33.09 inference(quant_inst,[status(thm)],[])).
% 50.62/33.09 tff(22219,plain,
% 50.62/33.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0)),
% 50.62/33.09 inference(modus_ponens,[status(thm)],[22218, 22217])).
% 50.62/33.09 tff(22220,plain,
% 50.62/33.09 ((~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[22219, 1439, 21919])).
% 50.62/33.09 tff(22221,plain,
% 50.62/33.09 ((~v84(constB174, bitIndex0)) | v84(constB175, bitIndex0)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[22220, 21931])).
% 50.62/33.09 tff(22222,plain,
% 50.62/33.09 (~v84(constB174, bitIndex0)),
% 50.62/33.09 inference(unit_resolution,[status(thm)],[22221, 22213])).
% 50.62/33.09 tff(22223,plain,
% 50.62/33.09 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174)))),
% 50.62/33.09 inference(rewrite,[status(thm)],[])).
% 50.62/33.09 tff(22224,plain,
% 50.62/33.09 ((v84(constB174, bitIndex0) | (~v94(constB174)) | (~v123(constB174, bitIndex0))) <=> (v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174)))),
% 50.62/33.09 inference(rewrite,[status(thm)],[])).
% 50.62/33.09 tff(22225,plain,
% 50.62/33.09 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v94(constB174)) | (~v123(constB174, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174))))),
% 50.62/33.09 inference(monotonicity,[status(thm)],[22224])).
% 50.62/33.09 tff(22226,plain,
% 50.62/33.09 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v94(constB174)) | (~v123(constB174, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174)))),
% 50.62/33.10 inference(transitivity,[status(thm)],[22225, 22223])).
% 50.62/33.10 tff(22227,plain,
% 50.62/33.10 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v94(constB174)) | (~v123(constB174, bitIndex0)))),
% 50.62/33.10 inference(quant_inst,[status(thm)],[])).
% 50.62/33.10 tff(22228,plain,
% 50.62/33.10 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174))),
% 50.62/33.10 inference(modus_ponens,[status(thm)],[22227, 22226])).
% 50.62/33.10 tff(22229,plain,
% 50.62/33.10 (~v123(constB174, bitIndex0)),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22228, 1421, 22198, 22222])).
% 50.62/33.10 tff(22230,plain,
% 50.62/33.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0))),
% 50.62/33.10 inference(rewrite,[status(thm)],[])).
% 50.62/33.10 tff(22231,plain,
% 50.62/33.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0))),
% 50.62/33.10 inference(quant_inst,[status(thm)],[])).
% 50.62/33.10 tff(22232,plain,
% 50.62/33.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0)),
% 50.62/33.10 inference(modus_ponens,[status(thm)],[22231, 22230])).
% 50.62/33.10 tff(22233,plain,
% 50.62/33.10 ((~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0)),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22232, 1406, 21857])).
% 50.62/33.10 tff(22234,plain,
% 50.62/33.10 (~v121(constB173, bitIndex0)),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22233, 22229])).
% 50.62/33.10 tff(22235,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB173) | (~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB173) | (~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0))),
% 50.62/33.10 inference(rewrite,[status(thm)],[])).
% 50.62/33.10 tff(22236,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB173) | (~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0))),
% 50.62/33.10 inference(quant_inst,[status(thm)],[])).
% 50.62/33.10 tff(22237,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB173) | (~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0)),
% 50.62/33.10 inference(modus_ponens,[status(thm)],[22236, 22235])).
% 50.62/33.10 tff(22238,plain,
% 50.62/33.10 ((~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0)),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22237, 1391, 21839])).
% 50.62/33.10 tff(22239,plain,
% 50.62/33.10 (~v124(constB173, bitIndex0)),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22238, 22234])).
% 50.62/33.10 tff(22240,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB173)) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB173)) | v124(constB173, bitIndex0))),
% 50.62/33.10 inference(rewrite,[status(thm)],[])).
% 50.62/33.10 tff(22241,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB173)) | v124(constB173, bitIndex0))),
% 50.62/33.10 inference(quant_inst,[status(thm)],[])).
% 50.62/33.10 tff(22242,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB173)) | v124(constB173, bitIndex0)),
% 50.62/33.10 inference(modus_ponens,[status(thm)],[22241, 22240])).
% 50.62/33.10 tff(22243,plain,
% 50.62/33.10 (~v118(constB173)),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22242, 4562, 22239])).
% 50.62/33.10 tff(22244,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB173)) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB173)) | v124(constB173, bitIndex0))),
% 50.62/33.10 inference(rewrite,[status(thm)],[])).
% 50.62/33.10 tff(22245,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB173)) | v124(constB173, bitIndex0))),
% 50.62/33.10 inference(quant_inst,[status(thm)],[])).
% 50.62/33.10 tff(22246,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB173)) | v124(constB173, bitIndex0)),
% 50.62/33.10 inference(modus_ponens,[status(thm)],[22245, 22244])).
% 50.62/33.10 tff(22247,plain,
% 50.62/33.10 (~v115(constB173)),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22246, 1784, 22239])).
% 50.62/33.10 tff(22248,assumption,(~v124(constB173, bitIndex0)), introduced(assumption)).
% 50.62/33.10 tff(22249,assumption,(~v124(constB173, bitIndex2)), introduced(assumption)).
% 50.62/33.10 tff(22250,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB173)) | v124(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB173)) | v124(constB173, bitIndex2))),
% 50.62/33.10 inference(rewrite,[status(thm)],[])).
% 50.62/33.10 tff(22251,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB173)) | v124(constB173, bitIndex2))),
% 50.62/33.10 inference(quant_inst,[status(thm)],[])).
% 50.62/33.10 tff(22252,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB173)) | v124(constB173, bitIndex2)),
% 50.62/33.10 inference(modus_ponens,[status(thm)],[22251, 22250])).
% 50.62/33.10 tff(22253,plain,
% 50.62/33.10 (~v116(constB173)),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22252, 1923, 22249])).
% 50.62/33.10 tff(22254,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB173)) | v124(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB173)) | v124(constB173, bitIndex2))),
% 50.62/33.10 inference(rewrite,[status(thm)],[])).
% 50.62/33.10 tff(22255,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB173)) | v124(constB173, bitIndex2))),
% 50.62/33.10 inference(quant_inst,[status(thm)],[])).
% 50.62/33.10 tff(22256,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB173)) | v124(constB173, bitIndex2)),
% 50.62/33.10 inference(modus_ponens,[status(thm)],[22255, 22254])).
% 50.62/33.10 tff(22257,plain,
% 50.62/33.10 (~v113(constB173)),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22256, 360, 22249])).
% 50.62/33.10 tff(22258,assumption,(~v145(constB173)), introduced(assumption)).
% 50.62/33.10 tff(22259,assumption,(~v115(constB173)), introduced(assumption)).
% 50.62/33.10 tff(22260,assumption,(~v118(constB173)), introduced(assumption)).
% 50.62/33.10 tff(22261,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0))),
% 50.62/33.10 inference(rewrite,[status(thm)],[])).
% 50.62/33.10 tff(22262,plain,
% 50.62/33.10 ((v113(constB173) | v145(constB173) | v115(constB173) | v116(constB173) | v172(constB173) | v118(constB173) | v124(constB173, bitIndex0)) <=> (v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0))),
% 50.62/33.10 inference(rewrite,[status(thm)],[])).
% 50.62/33.10 tff(22263,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB173) | v145(constB173) | v115(constB173) | v116(constB173) | v172(constB173) | v118(constB173) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0)))),
% 50.62/33.10 inference(monotonicity,[status(thm)],[22262])).
% 50.62/33.10 tff(22264,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB173) | v145(constB173) | v115(constB173) | v116(constB173) | v172(constB173) | v118(constB173) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0))),
% 50.62/33.10 inference(transitivity,[status(thm)],[22263, 22261])).
% 50.62/33.10 tff(22265,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB173) | v145(constB173) | v115(constB173) | v116(constB173) | v172(constB173) | v118(constB173) | v124(constB173, bitIndex0))),
% 50.62/33.10 inference(quant_inst,[status(thm)],[])).
% 50.62/33.10 tff(22266,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0)),
% 50.62/33.10 inference(modus_ponens,[status(thm)],[22265, 22264])).
% 50.62/33.10 tff(22267,plain,
% 50.62/33.10 (v116(constB173) | v113(constB173) | v124(constB173, bitIndex0)),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22266, 1374, 22167, 22260, 22259, 22258])).
% 50.62/33.10 tff(22268,plain,
% 50.62/33.10 ($false),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22267, 22257, 22253, 22248])).
% 50.62/33.10 tff(22269,plain,(v124(constB173, bitIndex2) | v124(constB173, bitIndex0) | v172(constB173) | v118(constB173) | v115(constB173) | v145(constB173)), inference(lemma,lemma(discharge,[]))).
% 50.62/33.10 tff(22270,plain,
% 50.62/33.10 ($false),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22269, 22247, 22243, 22201, 22239, 22209, 22202])).
% 50.62/33.10 tff(22271,plain,(~v113(constB175)), inference(lemma,lemma(discharge,[]))).
% 50.62/33.10 tff(22272,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex2)))),
% 50.62/33.10 inference(rewrite,[status(thm)],[])).
% 50.62/33.10 tff(22273,plain,
% 50.62/33.10 ((v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex2))) <=> (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex2)))),
% 50.62/33.10 inference(rewrite,[status(thm)],[])).
% 50.62/33.10 tff(22274,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex2))))),
% 50.62/33.10 inference(monotonicity,[status(thm)],[22273])).
% 50.62/33.10 tff(22275,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex2)))),
% 50.62/33.10 inference(transitivity,[status(thm)],[22274, 22272])).
% 50.62/33.10 tff(22276,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex2)))),
% 50.62/33.10 inference(quant_inst,[status(thm)],[])).
% 50.62/33.10 tff(22277,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex2))),
% 50.62/33.10 inference(modus_ponens,[status(thm)],[22276, 22275])).
% 50.62/33.10 tff(22278,plain,
% 50.62/33.10 (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | (~v124(constB175, bitIndex2))),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22277, 1170, 22271])).
% 50.62/33.10 tff(22279,plain,
% 50.62/33.10 (~v124(constB175, bitIndex2)),
% 50.62/33.10 inference(unit_resolution,[status(thm)],[22278, 22086, 22082, 22078, 22074, 22070])).
% 50.62/33.10 tff(22280,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2))),
% 50.62/33.10 inference(rewrite,[status(thm)],[])).
% 50.62/33.10 tff(22281,plain,
% 50.62/33.10 ((v26(constB175) | v124(constB175, bitIndex2) | (~v121(constB175, bitIndex2))) <=> ((~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2))),
% 50.62/33.10 inference(rewrite,[status(thm)],[])).
% 50.62/33.10 tff(22282,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB175) | v124(constB175, bitIndex2) | (~v121(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2)))),
% 50.62/33.10 inference(monotonicity,[status(thm)],[22281])).
% 50.62/33.10 tff(22283,plain,
% 50.62/33.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB175) | v124(constB175, bitIndex2) | (~v121(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2))),
% 50.62/33.10 inference(transitivity,[status(thm)],[22282, 22280])).
% 50.62/33.10 tff(22284,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB175) | v124(constB175, bitIndex2) | (~v121(constB175, bitIndex2)))),
% 50.62/33.10 inference(quant_inst,[status(thm)],[])).
% 50.62/33.10 tff(22285,plain,
% 50.62/33.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2)),
% 50.62/33.11 inference(modus_ponens,[status(thm)],[22284, 22283])).
% 50.62/33.11 tff(22286,plain,
% 50.62/33.11 ((~v121(constB175, bitIndex2)) | v124(constB175, bitIndex2)),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22285, 1187, 22017])).
% 50.62/33.11 tff(22287,plain,
% 50.62/33.11 (~v121(constB175, bitIndex2)),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22286, 22279])).
% 50.62/33.11 tff(22288,plain,
% 50.62/33.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2)))),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22289,plain,
% 50.62/33.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2)))),
% 50.62/33.11 inference(quant_inst,[status(thm)],[])).
% 50.62/33.11 tff(22290,plain,
% 50.62/33.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2))),
% 50.62/33.11 inference(modus_ponens,[status(thm)],[22289, 22288])).
% 50.62/33.11 tff(22291,plain,
% 50.62/33.11 (v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2))),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22290, 1205, 22032])).
% 50.62/33.11 tff(22292,plain,
% 50.62/33.11 (~v123(constB176, bitIndex2)),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22291, 22287])).
% 50.62/33.11 tff(22293,plain,
% 50.62/33.11 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176)))),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22294,plain,
% 50.62/33.11 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176)))),
% 50.62/33.11 inference(quant_inst,[status(thm)],[])).
% 50.62/33.11 tff(22295,plain,
% 50.62/33.11 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176))),
% 50.62/33.11 inference(modus_ponens,[status(thm)],[22294, 22293])).
% 50.62/33.11 tff(22296,plain,
% 50.62/33.11 ((~v84(constB176, bitIndex2)) | (~v94(constB176))),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22295, 1220, 22292])).
% 50.62/33.11 tff(22297,plain,
% 50.62/33.11 (~v84(constB176, bitIndex2)),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22296, 22066])).
% 50.62/33.11 tff(22298,plain,
% 50.62/33.11 ((~v1(constB177)) <=> (~v1(constB177))),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22299,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 50.62/33.11 tff(22300,plain,
% 50.62/33.11 (~v1(constB177)),
% 50.62/33.11 inference(modus_ponens,[status(thm)],[22299, 22298])).
% 50.62/33.11 tff(22301,plain,
% 50.62/33.11 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22302,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 50.62/33.11 tff(22303,plain,
% 50.62/33.11 (nextState(constB176, constB177)),
% 50.62/33.11 inference(modus_ponens,[status(thm)],[22302, 22301])).
% 50.62/33.11 tff(22304,plain,
% 50.62/33.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22305,plain,
% 50.62/33.11 (((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22306,plain,
% 50.62/33.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177))))),
% 50.62/33.11 inference(monotonicity,[status(thm)],[22305])).
% 50.62/33.11 tff(22307,plain,
% 50.62/33.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))),
% 50.62/33.11 inference(transitivity,[status(thm)],[22306, 22304])).
% 50.62/33.11 tff(22308,plain,
% 50.62/33.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177))),
% 50.62/33.11 inference(quant_inst,[status(thm)],[])).
% 50.62/33.11 tff(22309,plain,
% 50.62/33.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177))),
% 50.62/33.11 inference(modus_ponens,[status(thm)],[22308, 22307])).
% 50.62/33.11 tff(22310,plain,
% 50.62/33.11 (~v95(constB177)),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22309, 110, 22303, 22300])).
% 50.62/33.11 tff(22311,plain,
% 50.62/33.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177)))),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22312,plain,
% 50.62/33.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177)))),
% 50.62/33.11 inference(quant_inst,[status(thm)],[])).
% 50.62/33.11 tff(22313,plain,
% 50.62/33.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177))),
% 50.62/33.11 inference(modus_ponens,[status(thm)],[22312, 22311])).
% 50.62/33.11 tff(22314,plain,
% 50.62/33.11 (v95(constB177) | (~v94(constB177))),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22313, 127, 22303])).
% 50.62/33.11 tff(22315,plain,
% 50.62/33.11 (~v94(constB177)),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22314, 22310])).
% 50.62/33.11 tff(22316,plain,
% 50.62/33.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2)))),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22317,plain,
% 50.62/33.11 (((~nextState(constB176, constB177)) | v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2))) <=> (v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2)))),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22318,plain,
% 50.62/33.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2))))),
% 50.62/33.11 inference(monotonicity,[status(thm)],[22317])).
% 50.62/33.11 tff(22319,plain,
% 50.62/33.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2)))),
% 50.62/33.11 inference(transitivity,[status(thm)],[22318, 22316])).
% 50.62/33.11 tff(22320,plain,
% 50.62/33.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2)))),
% 50.62/33.11 inference(quant_inst,[status(thm)],[])).
% 50.62/33.11 tff(22321,plain,
% 50.62/33.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2))),
% 50.62/33.11 inference(modus_ponens,[status(thm)],[22320, 22319])).
% 50.62/33.11 tff(22322,plain,
% 50.62/33.11 (v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2))),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22321, 142, 22303])).
% 50.62/33.11 tff(22323,plain,
% 50.62/33.11 (v84(constB176, bitIndex2) | (~v84(constB177, bitIndex2))),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22322, 22315])).
% 50.62/33.11 tff(22324,plain,
% 50.62/33.11 (~v84(constB177, bitIndex2)),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22323, 22297])).
% 50.62/33.11 tff(22325,plain,
% 50.62/33.11 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1)))),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22326,plain,
% 50.62/33.11 ((v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex1))) <=> (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1)))),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22327,plain,
% 50.62/33.11 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1))))),
% 50.62/33.11 inference(monotonicity,[status(thm)],[22326])).
% 50.62/33.11 tff(22328,plain,
% 50.62/33.11 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1)))),
% 50.62/33.11 inference(transitivity,[status(thm)],[22327, 22325])).
% 50.62/33.11 tff(22329,plain,
% 50.62/33.11 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex1)))),
% 50.62/33.11 inference(quant_inst,[status(thm)],[])).
% 50.62/33.11 tff(22330,plain,
% 50.62/33.11 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1))),
% 50.62/33.11 inference(modus_ponens,[status(thm)],[22329, 22328])).
% 50.62/33.11 tff(22331,plain,
% 50.62/33.11 (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | (~v124(constB175, bitIndex1))),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22330, 1105, 22271])).
% 50.62/33.11 tff(22332,plain,
% 50.62/33.11 (~v124(constB175, bitIndex1)),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22331, 22086, 22082, 22078, 22074, 22070])).
% 50.62/33.11 tff(22333,plain,
% 50.62/33.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22334,plain,
% 50.62/33.11 ((v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1))) <=> ((~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))),
% 50.62/33.11 inference(rewrite,[status(thm)],[])).
% 50.62/33.11 tff(22335,plain,
% 50.62/33.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1)))),
% 50.62/33.11 inference(monotonicity,[status(thm)],[22334])).
% 50.62/33.11 tff(22336,plain,
% 50.62/33.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))),
% 50.62/33.11 inference(transitivity,[status(thm)],[22335, 22333])).
% 50.62/33.11 tff(22337,plain,
% 50.62/33.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1)))),
% 50.62/33.11 inference(quant_inst,[status(thm)],[])).
% 50.62/33.11 tff(22338,plain,
% 50.62/33.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1)),
% 50.62/33.11 inference(modus_ponens,[status(thm)],[22337, 22336])).
% 50.62/33.11 tff(22339,plain,
% 50.62/33.11 ((~v121(constB175, bitIndex1)) | v124(constB175, bitIndex1)),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22338, 233, 22017])).
% 50.62/33.11 tff(22340,plain,
% 50.62/33.11 (~v121(constB175, bitIndex1)),
% 50.62/33.11 inference(unit_resolution,[status(thm)],[22339, 22332])).
% 50.62/33.11 tff(22341,plain,
% 50.62/33.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1)))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22342,plain,
% 50.62/33.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1)))),
% 50.62/33.12 inference(quant_inst,[status(thm)],[])).
% 50.62/33.12 tff(22343,plain,
% 50.62/33.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1))),
% 50.62/33.12 inference(modus_ponens,[status(thm)],[22342, 22341])).
% 50.62/33.12 tff(22344,plain,
% 50.62/33.12 (v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1))),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22343, 254, 22032])).
% 50.62/33.12 tff(22345,plain,
% 50.62/33.12 (~v123(constB176, bitIndex1)),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22344, 22340])).
% 50.62/33.12 tff(22346,plain,
% 50.62/33.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22347,plain,
% 50.62/33.12 (((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1)) <=> ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22348,plain,
% 50.62/33.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176))))),
% 50.62/33.12 inference(monotonicity,[status(thm)],[22347])).
% 50.62/33.12 tff(22349,plain,
% 50.62/33.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))),
% 50.62/33.12 inference(transitivity,[status(thm)],[22348, 22346])).
% 50.62/33.12 tff(22350,plain,
% 50.62/33.12 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1))),
% 50.62/33.12 inference(quant_inst,[status(thm)],[])).
% 50.62/33.12 tff(22351,plain,
% 50.62/33.12 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176))),
% 50.62/33.12 inference(modus_ponens,[status(thm)],[22350, 22349])).
% 50.62/33.12 tff(22352,plain,
% 50.62/33.12 ((~v84(constB176, bitIndex1)) | (~v94(constB176))),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22351, 532, 22345])).
% 50.62/33.12 tff(22353,plain,
% 50.62/33.12 (~v84(constB176, bitIndex1)),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22352, 22066])).
% 50.62/33.12 tff(22354,plain,
% 50.62/33.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22355,plain,
% 50.62/33.12 (((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1))) <=> (v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22356,plain,
% 50.62/33.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1))))),
% 50.62/33.12 inference(monotonicity,[status(thm)],[22355])).
% 50.62/33.12 tff(22357,plain,
% 50.62/33.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 50.62/33.12 inference(transitivity,[status(thm)],[22356, 22354])).
% 50.62/33.12 tff(22358,plain,
% 50.62/33.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 50.62/33.12 inference(quant_inst,[status(thm)],[])).
% 50.62/33.12 tff(22359,plain,
% 50.62/33.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1))),
% 50.62/33.12 inference(modus_ponens,[status(thm)],[22358, 22357])).
% 50.62/33.12 tff(22360,plain,
% 50.62/33.12 (v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1))),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22359, 163, 22303])).
% 50.62/33.12 tff(22361,plain,
% 50.62/33.12 (v84(constB176, bitIndex1) | (~v84(constB177, bitIndex1))),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22360, 22315])).
% 50.62/33.12 tff(22362,plain,
% 50.62/33.12 (~v84(constB177, bitIndex1)),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22361, 22353])).
% 50.62/33.12 tff(22363,plain,
% 50.62/33.12 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22364,plain,
% 50.62/33.12 ((v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | v124(constB175, bitIndex0)) <=> (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22365,plain,
% 50.62/33.12 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0)))),
% 50.62/33.12 inference(monotonicity,[status(thm)],[22364])).
% 50.62/33.12 tff(22366,plain,
% 50.62/33.12 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0))),
% 50.62/33.12 inference(transitivity,[status(thm)],[22365, 22363])).
% 50.62/33.12 tff(22367,plain,
% 50.62/33.12 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | v124(constB175, bitIndex0))),
% 50.62/33.12 inference(quant_inst,[status(thm)],[])).
% 50.62/33.12 tff(22368,plain,
% 50.62/33.12 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0)),
% 50.62/33.12 inference(modus_ponens,[status(thm)],[22367, 22366])).
% 50.62/33.12 tff(22369,plain,
% 50.62/33.12 (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v124(constB175, bitIndex0)),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22368, 1374, 22271])).
% 50.62/33.12 tff(22370,plain,
% 50.62/33.12 (v124(constB175, bitIndex0)),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22369, 22086, 22082, 22078, 22074, 22070])).
% 50.62/33.12 tff(22371,plain,
% 50.62/33.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB175) | (~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB175) | (~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22372,plain,
% 50.62/33.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB175) | (~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0))),
% 50.62/33.12 inference(quant_inst,[status(thm)],[])).
% 50.62/33.12 tff(22373,plain,
% 50.62/33.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB175) | (~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0)),
% 50.62/33.12 inference(modus_ponens,[status(thm)],[22372, 22371])).
% 50.62/33.12 tff(22374,plain,
% 50.62/33.12 ((~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0)),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22373, 1391, 22017])).
% 50.62/33.12 tff(22375,plain,
% 50.62/33.12 (v121(constB175, bitIndex0)),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22374, 22370])).
% 50.62/33.12 tff(22376,plain,
% 50.62/33.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22377,plain,
% 50.62/33.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0))),
% 50.62/33.12 inference(quant_inst,[status(thm)],[])).
% 50.62/33.12 tff(22378,plain,
% 50.62/33.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0)),
% 50.62/33.12 inference(modus_ponens,[status(thm)],[22377, 22376])).
% 50.62/33.12 tff(22379,plain,
% 50.62/33.12 ((~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0)),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22378, 1406, 22032])).
% 50.62/33.12 tff(22380,plain,
% 50.62/33.12 (v123(constB176, bitIndex0)),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22379, 22375])).
% 50.62/33.12 tff(22381,plain,
% 50.62/33.12 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176)))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22382,plain,
% 50.62/33.12 ((v84(constB176, bitIndex0) | (~v94(constB176)) | (~v123(constB176, bitIndex0))) <=> (v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176)))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22383,plain,
% 50.62/33.12 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v94(constB176)) | (~v123(constB176, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176))))),
% 50.62/33.12 inference(monotonicity,[status(thm)],[22382])).
% 50.62/33.12 tff(22384,plain,
% 50.62/33.12 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v94(constB176)) | (~v123(constB176, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176)))),
% 50.62/33.12 inference(transitivity,[status(thm)],[22383, 22381])).
% 50.62/33.12 tff(22385,plain,
% 50.62/33.12 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v94(constB176)) | (~v123(constB176, bitIndex0)))),
% 50.62/33.12 inference(quant_inst,[status(thm)],[])).
% 50.62/33.12 tff(22386,plain,
% 50.62/33.12 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176))),
% 50.62/33.12 inference(modus_ponens,[status(thm)],[22385, 22384])).
% 50.62/33.12 tff(22387,plain,
% 50.62/33.12 (v84(constB176, bitIndex0) | (~v94(constB176))),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22386, 1421, 22380])).
% 50.62/33.12 tff(22388,plain,
% 50.62/33.12 (v84(constB176, bitIndex0)),
% 50.62/33.12 inference(unit_resolution,[status(thm)],[22387, 22066])).
% 50.62/33.12 tff(22389,plain,
% 50.62/33.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22390,plain,
% 50.62/33.12 (((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0)) <=> ((~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0))),
% 50.62/33.12 inference(rewrite,[status(thm)],[])).
% 50.62/33.12 tff(22391,plain,
% 50.62/33.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0)))),
% 50.62/33.13 inference(monotonicity,[status(thm)],[22390])).
% 50.62/33.13 tff(22392,plain,
% 50.62/33.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0))),
% 50.62/33.13 inference(transitivity,[status(thm)],[22391, 22389])).
% 50.62/33.13 tff(22393,plain,
% 50.62/33.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0))),
% 50.62/33.13 inference(quant_inst,[status(thm)],[])).
% 50.62/33.13 tff(22394,plain,
% 50.62/33.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0)),
% 50.62/33.13 inference(modus_ponens,[status(thm)],[22393, 22392])).
% 50.62/33.13 tff(22395,plain,
% 50.62/33.13 ((~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0)),
% 50.62/33.13 inference(unit_resolution,[status(thm)],[22394, 1439, 22303])).
% 50.62/33.13 tff(22396,plain,
% 50.62/33.13 ((~v84(constB176, bitIndex0)) | v84(constB177, bitIndex0)),
% 50.62/33.13 inference(unit_resolution,[status(thm)],[22395, 22315])).
% 50.62/33.13 tff(22397,plain,
% 50.62/33.13 (v84(constB177, bitIndex0)),
% 50.62/33.13 inference(unit_resolution,[status(thm)],[22396, 22388])).
% 50.62/33.13 tff(22398,plain,
% 50.62/33.13 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB177, bitIndex0)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex2) | v145(constB177))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB177, bitIndex0)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex2) | v145(constB177))),
% 50.62/33.13 inference(rewrite,[status(thm)],[])).
% 50.62/33.13 tff(22399,plain,
% 50.62/33.13 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB177, bitIndex0)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex2) | v145(constB177))),
% 50.62/33.13 inference(quant_inst,[status(thm)],[])).
% 50.62/33.13 tff(22400,plain,
% 50.62/33.13 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB177, bitIndex0)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex2) | v145(constB177)),
% 50.62/33.13 inference(modus_ponens,[status(thm)],[22399, 22398])).
% 50.62/33.13 tff(22401,plain,
% 50.62/33.13 (v145(constB177)),
% 50.62/33.13 inference(unit_resolution,[status(thm)],[22400, 1268, 22397, 22362, 22324])).
% 50.62/33.13 tff(22402,plain,
% 50.62/33.13 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB177) | (~v145(constB177)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB177) | (~v145(constB177)))),
% 50.62/33.13 inference(rewrite,[status(thm)],[])).
% 50.62/33.13 tff(22403,plain,
% 50.62/33.13 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB177) | (~v145(constB177)))),
% 50.62/33.13 inference(quant_inst,[status(thm)],[])).
% 50.62/33.13 tff(22404,plain,
% 50.62/33.13 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB177) | (~v145(constB177))),
% 50.62/33.13 inference(modus_ponens,[status(thm)],[22403, 22402])).
% 50.62/33.13 tff(22405,plain,
% 50.62/33.13 (v112(constB177)),
% 50.62/33.13 inference(unit_resolution,[status(thm)],[22404, 1253, 22401])).
% 50.62/33.13 tff(22406,plain,
% 50.62/33.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB177) | (~v112(constB177)))),
% 50.62/33.13 inference(rewrite,[status(thm)],[])).
% 50.62/33.13 tff(22407,plain,
% 50.62/33.13 (((~v112(constB177)) | v111(constB177)) <=> (v111(constB177) | (~v112(constB177)))),
% 50.62/33.13 inference(rewrite,[status(thm)],[])).
% 50.62/33.13 tff(22408,plain,
% 50.62/33.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB177)) | v111(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB177) | (~v112(constB177))))),
% 50.62/33.13 inference(monotonicity,[status(thm)],[22407])).
% 50.62/33.13 tff(22409,plain,
% 50.62/33.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB177)) | v111(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB177) | (~v112(constB177)))),
% 50.62/33.13 inference(transitivity,[status(thm)],[22408, 22406])).
% 50.62/33.13 tff(22410,plain,
% 50.62/33.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB177)) | v111(constB177))),
% 50.62/33.13 inference(quant_inst,[status(thm)],[])).
% 50.62/33.13 tff(22411,plain,
% 50.62/33.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB177) | (~v112(constB177))),
% 50.62/33.13 inference(modus_ponens,[status(thm)],[22410, 22409])).
% 50.62/33.13 tff(22412,plain,
% 50.62/33.13 (v111(constB177)),
% 50.62/33.13 inference(unit_resolution,[status(thm)],[22411, 278, 22405])).
% 50.62/33.13 tff(22413,plain,
% 50.62/33.13 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB177) | (~v111(constB177)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB177) | (~v111(constB177)))),
% 50.62/33.13 inference(rewrite,[status(thm)],[])).
% 50.62/33.13 tff(22414,plain,
% 50.62/33.13 (((~v111(constB177)) | v110(constB177)) <=> (v110(constB177) | (~v111(constB177)))),
% 50.62/33.13 inference(rewrite,[status(thm)],[])).
% 50.62/33.13 tff(22415,plain,
% 50.62/33.13 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB177)) | v110(constB177))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB177) | (~v111(constB177))))),
% 50.62/33.13 inference(monotonicity,[status(thm)],[22414])).
% 50.62/33.13 tff(22416,plain,
% 50.62/33.13 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB177)) | v110(constB177))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB177) | (~v111(constB177)))),
% 50.62/33.13 inference(transitivity,[status(thm)],[22415, 22413])).
% 50.62/33.13 tff(22417,plain,
% 50.62/33.13 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB177)) | v110(constB177))),
% 50.62/33.13 inference(quant_inst,[status(thm)],[])).
% 50.62/33.13 tff(22418,plain,
% 50.62/33.13 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB177) | (~v111(constB177))),
% 50.62/33.13 inference(modus_ponens,[status(thm)],[22417, 22416])).
% 50.62/33.13 tff(22419,plain,
% 50.62/33.13 (v110(constB177)),
% 50.62/33.13 inference(unit_resolution,[status(thm)],[22418, 292, 22412])).
% 50.62/33.13 tff(22420,plain,
% 50.62/33.13 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB177) | (~v110(constB177)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB177) | (~v110(constB177)))),
% 50.62/33.13 inference(rewrite,[status(thm)],[])).
% 50.62/33.13 tff(22421,plain,
% 50.62/33.13 (((~v110(constB177)) | v109(constB177)) <=> (v109(constB177) | (~v110(constB177)))),
% 50.62/33.13 inference(rewrite,[status(thm)],[])).
% 50.62/33.13 tff(22422,plain,
% 50.62/33.13 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB177)) | v109(constB177))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB177) | (~v110(constB177))))),
% 50.62/33.13 inference(monotonicity,[status(thm)],[22421])).
% 50.62/33.13 tff(22423,plain,
% 50.62/33.13 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB177)) | v109(constB177))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB177) | (~v110(constB177)))),
% 50.62/33.13 inference(transitivity,[status(thm)],[22422, 22420])).
% 50.62/33.13 tff(22424,plain,
% 50.62/33.13 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB177)) | v109(constB177))),
% 50.66/33.13 inference(quant_inst,[status(thm)],[])).
% 50.66/33.13 tff(22425,plain,
% 50.66/33.13 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB177) | (~v110(constB177))),
% 50.66/33.13 inference(modus_ponens,[status(thm)],[22424, 22423])).
% 50.66/33.13 tff(22426,plain,
% 50.66/33.13 (v109(constB177)),
% 50.66/33.13 inference(unit_resolution,[status(thm)],[22425, 306, 22419])).
% 50.66/33.13 tff(22427,plain,
% 50.66/33.13 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB177)) | v108(constB177))),
% 50.66/33.13 inference(rewrite,[status(thm)],[])).
% 50.66/33.13 tff(22428,plain,
% 50.66/33.13 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB177)) | v108(constB177))),
% 50.66/33.13 inference(quant_inst,[status(thm)],[])).
% 50.66/33.13 tff(22429,plain,
% 50.66/33.13 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB177)) | v108(constB177)),
% 50.66/33.13 inference(modus_ponens,[status(thm)],[22428, 22427])).
% 50.66/33.13 tff(22430,plain,
% 50.66/33.13 (v108(constB177)),
% 50.66/33.13 inference(unit_resolution,[status(thm)],[22429, 320, 22426])).
% 50.66/33.13 tff(22431,plain,
% 50.66/33.13 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB177)) | v107(constB177))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB177)) | v107(constB177))),
% 50.66/33.13 inference(rewrite,[status(thm)],[])).
% 50.66/33.13 tff(22432,plain,
% 50.66/33.13 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB177)) | v107(constB177))),
% 50.66/33.13 inference(quant_inst,[status(thm)],[])).
% 50.66/33.13 tff(22433,plain,
% 50.66/33.13 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB177)) | v107(constB177)),
% 50.66/33.13 inference(modus_ponens,[status(thm)],[22432, 22431])).
% 50.66/33.13 tff(22434,plain,
% 50.66/33.13 (v107(constB177)),
% 50.66/33.13 inference(unit_resolution,[status(thm)],[22433, 334, 22430])).
% 50.66/33.13 tff(22435,assumption,(v26(constB177)), introduced(assumption)).
% 50.66/33.13 tff(22436,plain,
% 50.66/33.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB177))),
% 50.66/33.13 inference(quant_inst,[status(thm)],[])).
% 50.66/33.13 tff(22437,plain,
% 50.66/33.13 ($false),
% 50.66/33.13 inference(unit_resolution,[status(thm)],[22436, 55, 22435])).
% 50.66/33.13 tff(22438,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 50.66/33.13 tff(22439,plain,
% 50.66/33.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | (~v107(constB177)) | v106(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB177) | (~v107(constB177)) | v106(constB177))),
% 50.66/33.13 inference(rewrite,[status(thm)],[])).
% 50.66/33.13 tff(22440,plain,
% 50.66/33.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | (~v107(constB177)) | v106(constB177))),
% 50.66/33.13 inference(quant_inst,[status(thm)],[])).
% 50.66/33.13 tff(22441,plain,
% 50.66/33.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB177) | (~v107(constB177)) | v106(constB177)),
% 50.66/33.13 inference(modus_ponens,[status(thm)],[22440, 22439])).
% 50.66/33.13 tff(22442,plain,
% 50.66/33.13 ((~v107(constB177)) | v106(constB177)),
% 50.66/33.13 inference(unit_resolution,[status(thm)],[22441, 348, 22438])).
% 50.66/33.13 tff(22443,plain,
% 50.66/33.13 (v106(constB177)),
% 50.66/33.13 inference(unit_resolution,[status(thm)],[22442, 22434])).
% 50.66/33.13 tff(22444,plain,
% 50.66/33.13 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB177) | (~v106(constB177)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB177) | (~v106(constB177)))),
% 50.66/33.13 inference(rewrite,[status(thm)],[])).
% 50.66/33.13 tff(22445,plain,
% 50.66/33.13 (((~v106(constB177)) | v102(constB177)) <=> (v102(constB177) | (~v106(constB177)))),
% 50.66/33.13 inference(rewrite,[status(thm)],[])).
% 50.66/33.13 tff(22446,plain,
% 50.66/33.13 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB177)) | v102(constB177))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB177) | (~v106(constB177))))),
% 50.66/33.13 inference(monotonicity,[status(thm)],[22445])).
% 50.66/33.13 tff(22447,plain,
% 50.66/33.13 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB177)) | v102(constB177))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB177) | (~v106(constB177)))),
% 50.66/33.13 inference(transitivity,[status(thm)],[22446, 22444])).
% 50.66/33.13 tff(22448,plain,
% 50.66/33.13 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB177)) | v102(constB177))),
% 50.66/33.13 inference(quant_inst,[status(thm)],[])).
% 50.66/33.13 tff(22449,plain,
% 50.66/33.13 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB177) | (~v106(constB177))),
% 50.66/33.13 inference(modus_ponens,[status(thm)],[22448, 22447])).
% 50.66/33.13 tff(22450,plain,
% 50.66/33.13 (v102(constB177)),
% 50.66/33.13 inference(unit_resolution,[status(thm)],[22449, 504, 22443])).
% 50.66/33.13 tff(22451,plain,
% 50.66/33.13 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 50.66/33.13 inference(rewrite,[status(thm)],[])).
% 50.66/33.13 tff(22452,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 50.66/33.13 tff(22453,plain,
% 50.66/33.13 (nextState(constB177, constB178)),
% 50.66/33.13 inference(modus_ponens,[status(thm)],[22452, 22451])).
% 50.66/33.13 tff(22454,plain,
% 50.66/33.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))),
% 50.66/33.13 inference(rewrite,[status(thm)],[])).
% 50.66/33.13 tff(22455,plain,
% 50.66/33.13 (((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178)) <=> ((~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))),
% 50.66/33.13 inference(rewrite,[status(thm)],[])).
% 50.66/33.13 tff(22456,plain,
% 50.66/33.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177))))),
% 50.66/33.13 inference(monotonicity,[status(thm)],[22455])).
% 50.66/33.13 tff(22457,plain,
% 50.66/33.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))),
% 50.66/33.13 inference(transitivity,[status(thm)],[22456, 22454])).
% 50.66/33.13 tff(22458,plain,
% 50.66/33.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178))),
% 50.66/33.13 inference(quant_inst,[status(thm)],[])).
% 50.66/33.13 tff(22459,plain,
% 50.66/33.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177))),
% 50.66/33.13 inference(modus_ponens,[status(thm)],[22458, 22457])).
% 50.66/33.13 tff(22460,plain,
% 50.66/33.13 (v104(constB178) | (~v102(constB177))),
% 50.66/33.13 inference(unit_resolution,[status(thm)],[22459, 489, 22453])).
% 50.66/33.13 tff(22461,plain,
% 50.66/33.13 (v104(constB178)),
% 50.66/33.13 inference(unit_resolution,[status(thm)],[22460, 22450])).
% 50.66/33.13 tff(22462,plain,
% 50.66/33.13 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178)))),
% 50.66/33.13 inference(rewrite,[status(thm)],[])).
% 50.66/33.13 tff(22463,plain,
% 50.66/33.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178)))),
% 50.66/33.13 inference(quant_inst,[status(thm)],[])).
% 50.66/33.14 tff(22464,plain,
% 50.66/33.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178))),
% 50.66/33.14 inference(modus_ponens,[status(thm)],[22463, 22462])).
% 50.66/33.14 tff(22465,plain,
% 50.66/33.14 (~v98(constB178)),
% 50.66/33.14 inference(unit_resolution,[status(thm)],[22464, 423, 22453, 22300])).
% 50.66/33.14 tff(22466,plain,
% 50.66/33.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB177, constB178)) | v96(constB178) | v98(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB177, constB178)) | v96(constB178) | v98(constB178))),
% 50.66/33.14 inference(rewrite,[status(thm)],[])).
% 50.66/33.14 tff(22467,plain,
% 50.66/33.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB177, constB178)) | v96(constB178) | v98(constB178))),
% 50.66/33.14 inference(quant_inst,[status(thm)],[])).
% 50.66/33.14 tff(22468,plain,
% 50.66/33.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB177, constB178)) | v96(constB178) | v98(constB178)),
% 50.66/33.14 inference(modus_ponens,[status(thm)],[22467, 22466])).
% 50.66/33.14 tff(22469,plain,
% 50.66/33.14 (v96(constB178) | v98(constB178)),
% 50.66/33.14 inference(unit_resolution,[status(thm)],[22468, 437, 22453])).
% 50.66/33.14 tff(22470,plain,
% 50.66/33.14 (v96(constB178)),
% 50.66/33.14 inference(unit_resolution,[status(thm)],[22469, 22465])).
% 50.66/33.14 tff(22471,plain,
% 50.66/33.14 (v1(constB178) <=> v1(constB178)),
% 50.66/33.14 inference(rewrite,[status(thm)],[])).
% 50.66/33.14 tff(22472,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 50.66/33.14 tff(22473,plain,
% 50.66/33.14 (v1(constB178)),
% 50.66/33.14 inference(modus_ponens,[status(thm)],[22472, 22471])).
% 50.66/33.14 tff(22474,plain,
% 50.66/33.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178)))),
% 50.66/33.14 inference(rewrite,[status(thm)],[])).
% 50.66/33.14 tff(22475,plain,
% 50.66/33.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178)))),
% 50.66/33.14 inference(quant_inst,[status(thm)],[])).
% 50.66/33.14 tff(22476,plain,
% 50.66/33.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178))),
% 50.66/33.14 inference(modus_ponens,[status(thm)],[22475, 22474])).
% 50.66/33.14 tff(22477,plain,
% 50.66/33.14 (v95(constB178) | (~v96(constB178))),
% 50.66/33.14 inference(unit_resolution,[status(thm)],[22476, 455, 22453, 22473])).
% 50.66/33.14 tff(22478,plain,
% 50.66/33.14 (v95(constB178)),
% 50.66/33.14 inference(unit_resolution,[status(thm)],[22477, 22470])).
% 50.66/33.14 tff(22479,plain,
% 50.66/33.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))),
% 50.66/33.14 inference(rewrite,[status(thm)],[])).
% 50.66/33.14 tff(22480,plain,
% 50.66/33.14 (((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178)) <=> ((~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))),
% 50.66/33.14 inference(rewrite,[status(thm)],[])).
% 50.66/33.14 tff(22481,plain,
% 50.66/33.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178))))),
% 50.67/33.14 inference(monotonicity,[status(thm)],[22480])).
% 50.67/33.14 tff(22482,plain,
% 50.67/33.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))),
% 50.67/33.14 inference(transitivity,[status(thm)],[22481, 22479])).
% 50.67/33.14 tff(22483,plain,
% 50.67/33.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178))),
% 50.67/33.14 inference(quant_inst,[status(thm)],[])).
% 50.67/33.14 tff(22484,plain,
% 50.67/33.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178))),
% 50.67/33.14 inference(modus_ponens,[status(thm)],[22483, 22482])).
% 50.67/33.14 tff(22485,plain,
% 50.67/33.14 (v94(constB178) | (~v95(constB178)) | (~v104(constB178))),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22484, 470, 22453])).
% 50.67/33.14 tff(22486,plain,
% 50.67/33.14 (v94(constB178) | (~v104(constB178))),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22485, 22478])).
% 50.67/33.14 tff(22487,plain,
% 50.67/33.14 (v94(constB178)),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22486, 22461])).
% 50.67/33.14 tff(22488,plain,
% 50.67/33.14 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB177)) | (~v124(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB177)) | (~v124(constB177, bitIndex2)))),
% 50.67/33.14 inference(rewrite,[status(thm)],[])).
% 50.67/33.14 tff(22489,plain,
% 50.67/33.14 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB177)) | (~v124(constB177, bitIndex2)))),
% 50.67/33.14 inference(quant_inst,[status(thm)],[])).
% 50.67/33.14 tff(22490,plain,
% 50.67/33.14 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB177)) | (~v124(constB177, bitIndex2))),
% 50.67/33.14 inference(modus_ponens,[status(thm)],[22489, 22488])).
% 50.67/33.14 tff(22491,plain,
% 50.67/33.14 (~v124(constB177, bitIndex2)),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22490, 1456, 22401])).
% 50.67/33.14 tff(22492,plain,
% 50.67/33.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2))),
% 50.67/33.14 inference(rewrite,[status(thm)],[])).
% 50.67/33.14 tff(22493,plain,
% 50.67/33.14 ((v26(constB177) | v124(constB177, bitIndex2) | (~v121(constB177, bitIndex2))) <=> ((~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2))),
% 50.67/33.14 inference(rewrite,[status(thm)],[])).
% 50.67/33.14 tff(22494,plain,
% 50.67/33.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB177) | v124(constB177, bitIndex2) | (~v121(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2)))),
% 50.67/33.14 inference(monotonicity,[status(thm)],[22493])).
% 50.67/33.14 tff(22495,plain,
% 50.67/33.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB177) | v124(constB177, bitIndex2) | (~v121(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2))),
% 50.67/33.14 inference(transitivity,[status(thm)],[22494, 22492])).
% 50.67/33.14 tff(22496,plain,
% 50.67/33.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB177) | v124(constB177, bitIndex2) | (~v121(constB177, bitIndex2)))),
% 50.67/33.14 inference(quant_inst,[status(thm)],[])).
% 50.67/33.14 tff(22497,plain,
% 50.67/33.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2)),
% 50.67/33.14 inference(modus_ponens,[status(thm)],[22496, 22495])).
% 50.67/33.14 tff(22498,plain,
% 50.67/33.14 ((~v121(constB177, bitIndex2)) | v124(constB177, bitIndex2)),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22497, 1187, 22438])).
% 50.67/33.14 tff(22499,plain,
% 50.67/33.14 (~v121(constB177, bitIndex2)),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22498, 22491])).
% 50.67/33.14 tff(22500,plain,
% 50.67/33.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2)))),
% 50.67/33.14 inference(rewrite,[status(thm)],[])).
% 50.67/33.14 tff(22501,plain,
% 50.67/33.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2)))),
% 50.67/33.14 inference(quant_inst,[status(thm)],[])).
% 50.67/33.14 tff(22502,plain,
% 50.67/33.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2))),
% 50.67/33.14 inference(modus_ponens,[status(thm)],[22501, 22500])).
% 50.67/33.14 tff(22503,plain,
% 50.67/33.14 (v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2))),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22502, 1205, 22453])).
% 50.67/33.14 tff(22504,plain,
% 50.67/33.14 (~v123(constB178, bitIndex2)),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22503, 22499])).
% 50.67/33.14 tff(22505,plain,
% 50.67/33.14 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178)))),
% 50.67/33.14 inference(rewrite,[status(thm)],[])).
% 50.67/33.14 tff(22506,plain,
% 50.67/33.14 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178)))),
% 50.67/33.14 inference(quant_inst,[status(thm)],[])).
% 50.67/33.14 tff(22507,plain,
% 50.67/33.14 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178))),
% 50.67/33.14 inference(modus_ponens,[status(thm)],[22506, 22505])).
% 50.67/33.14 tff(22508,plain,
% 50.67/33.14 ((~v84(constB178, bitIndex2)) | (~v94(constB178))),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22507, 1220, 22504])).
% 50.67/33.14 tff(22509,plain,
% 50.67/33.14 (~v84(constB178, bitIndex2)),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22508, 22487])).
% 50.67/33.14 tff(22510,plain,
% 50.67/33.14 ((~v1(constB179)) <=> (~v1(constB179))),
% 50.67/33.14 inference(rewrite,[status(thm)],[])).
% 50.67/33.14 tff(22511,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 50.67/33.14 tff(22512,plain,
% 50.67/33.14 (~v1(constB179)),
% 50.67/33.14 inference(modus_ponens,[status(thm)],[22511, 22510])).
% 50.67/33.14 tff(22513,plain,
% 50.67/33.14 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 50.67/33.14 inference(rewrite,[status(thm)],[])).
% 50.67/33.14 tff(22514,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 50.67/33.14 tff(22515,plain,
% 50.67/33.14 (nextState(constB178, constB179)),
% 50.67/33.14 inference(modus_ponens,[status(thm)],[22514, 22513])).
% 50.67/33.14 tff(22516,plain,
% 50.67/33.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))),
% 50.67/33.14 inference(rewrite,[status(thm)],[])).
% 50.67/33.14 tff(22517,plain,
% 50.67/33.14 (((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))),
% 50.67/33.14 inference(rewrite,[status(thm)],[])).
% 50.67/33.14 tff(22518,plain,
% 50.67/33.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179))))),
% 50.67/33.14 inference(monotonicity,[status(thm)],[22517])).
% 50.67/33.14 tff(22519,plain,
% 50.67/33.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))),
% 50.67/33.14 inference(transitivity,[status(thm)],[22518, 22516])).
% 50.67/33.14 tff(22520,plain,
% 50.67/33.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179))),
% 50.67/33.14 inference(quant_inst,[status(thm)],[])).
% 50.67/33.14 tff(22521,plain,
% 50.67/33.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179))),
% 50.67/33.14 inference(modus_ponens,[status(thm)],[22520, 22519])).
% 50.67/33.14 tff(22522,plain,
% 50.67/33.14 (~v95(constB179)),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22521, 110, 22515, 22512])).
% 50.67/33.14 tff(22523,plain,
% 50.67/33.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179)))),
% 50.67/33.14 inference(rewrite,[status(thm)],[])).
% 50.67/33.14 tff(22524,plain,
% 50.67/33.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179)))),
% 50.67/33.14 inference(quant_inst,[status(thm)],[])).
% 50.67/33.14 tff(22525,plain,
% 50.67/33.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179))),
% 50.67/33.14 inference(modus_ponens,[status(thm)],[22524, 22523])).
% 50.67/33.14 tff(22526,plain,
% 50.67/33.14 (v95(constB179) | (~v94(constB179))),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22525, 127, 22515])).
% 50.67/33.14 tff(22527,plain,
% 50.67/33.14 (~v94(constB179)),
% 50.67/33.14 inference(unit_resolution,[status(thm)],[22526, 22522])).
% 50.67/33.14 tff(22528,plain,
% 50.67/33.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2)))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22529,plain,
% 50.67/33.15 (((~nextState(constB178, constB179)) | v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2))) <=> (v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2)))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22530,plain,
% 50.67/33.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2))))),
% 50.67/33.15 inference(monotonicity,[status(thm)],[22529])).
% 50.67/33.15 tff(22531,plain,
% 50.67/33.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2)))),
% 50.67/33.15 inference(transitivity,[status(thm)],[22530, 22528])).
% 50.67/33.15 tff(22532,plain,
% 50.67/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2)))),
% 50.67/33.15 inference(quant_inst,[status(thm)],[])).
% 50.67/33.15 tff(22533,plain,
% 50.67/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2))),
% 50.67/33.15 inference(modus_ponens,[status(thm)],[22532, 22531])).
% 50.67/33.15 tff(22534,plain,
% 50.67/33.15 (v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2))),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22533, 142, 22515])).
% 50.67/33.15 tff(22535,plain,
% 50.67/33.15 (v84(constB178, bitIndex2) | (~v84(constB179, bitIndex2))),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22534, 22527])).
% 50.67/33.15 tff(22536,plain,
% 50.67/33.15 (~v84(constB179, bitIndex2)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22535, 22509])).
% 50.67/33.15 tff(22537,plain,
% 50.67/33.15 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB177)) | v124(constB177, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB177)) | v124(constB177, bitIndex1))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22538,plain,
% 50.67/33.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB177)) | v124(constB177, bitIndex1))),
% 50.67/33.15 inference(quant_inst,[status(thm)],[])).
% 50.67/33.15 tff(22539,plain,
% 50.67/33.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB177)) | v124(constB177, bitIndex1)),
% 50.67/33.15 inference(modus_ponens,[status(thm)],[22538, 22537])).
% 50.67/33.15 tff(22540,plain,
% 50.67/33.15 (v124(constB177, bitIndex1)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22539, 1512, 22401])).
% 50.67/33.15 tff(22541,plain,
% 50.67/33.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB177) | (~v124(constB177, bitIndex1)) | v121(constB177, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB177) | (~v124(constB177, bitIndex1)) | v121(constB177, bitIndex1))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22542,plain,
% 50.67/33.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB177) | (~v124(constB177, bitIndex1)) | v121(constB177, bitIndex1))),
% 50.67/33.15 inference(quant_inst,[status(thm)],[])).
% 50.67/33.15 tff(22543,plain,
% 50.67/33.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB177) | (~v124(constB177, bitIndex1)) | v121(constB177, bitIndex1)),
% 50.67/33.15 inference(modus_ponens,[status(thm)],[22542, 22541])).
% 50.67/33.15 tff(22544,plain,
% 50.67/33.15 ((~v124(constB177, bitIndex1)) | v121(constB177, bitIndex1)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22543, 857, 22438])).
% 50.67/33.15 tff(22545,plain,
% 50.67/33.15 (v121(constB177, bitIndex1)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22544, 22540])).
% 50.67/33.15 tff(22546,plain,
% 50.67/33.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v121(constB177, bitIndex1)) | v123(constB178, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v121(constB177, bitIndex1)) | v123(constB178, bitIndex1))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22547,plain,
% 50.67/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v121(constB177, bitIndex1)) | v123(constB178, bitIndex1))),
% 50.67/33.15 inference(quant_inst,[status(thm)],[])).
% 50.67/33.15 tff(22548,plain,
% 50.67/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v121(constB177, bitIndex1)) | v123(constB178, bitIndex1)),
% 50.67/33.15 inference(modus_ponens,[status(thm)],[22547, 22546])).
% 50.67/33.15 tff(22549,plain,
% 50.67/33.15 ((~v121(constB177, bitIndex1)) | v123(constB178, bitIndex1)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22548, 872, 22453])).
% 50.67/33.15 tff(22550,plain,
% 50.67/33.15 (v123(constB178, bitIndex1)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22549, 22545])).
% 50.67/33.15 tff(22551,plain,
% 50.67/33.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1)) | (~v94(constB178)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1)) | (~v94(constB178)))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22552,plain,
% 50.67/33.15 ((v84(constB178, bitIndex1) | (~v94(constB178)) | (~v123(constB178, bitIndex1))) <=> (v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1)) | (~v94(constB178)))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22553,plain,
% 50.67/33.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~v94(constB178)) | (~v123(constB178, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1)) | (~v94(constB178))))),
% 50.67/33.15 inference(monotonicity,[status(thm)],[22552])).
% 50.67/33.15 tff(22554,plain,
% 50.67/33.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~v94(constB178)) | (~v123(constB178, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1)) | (~v94(constB178)))),
% 50.67/33.15 inference(transitivity,[status(thm)],[22553, 22551])).
% 50.67/33.15 tff(22555,plain,
% 50.67/33.15 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~v94(constB178)) | (~v123(constB178, bitIndex1)))),
% 50.67/33.15 inference(quant_inst,[status(thm)],[])).
% 50.67/33.15 tff(22556,plain,
% 50.67/33.15 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1)) | (~v94(constB178))),
% 50.67/33.15 inference(modus_ponens,[status(thm)],[22555, 22554])).
% 50.67/33.15 tff(22557,plain,
% 50.67/33.15 (v84(constB178, bitIndex1) | (~v94(constB178))),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22556, 887, 22550])).
% 50.67/33.15 tff(22558,plain,
% 50.67/33.15 (v84(constB178, bitIndex1)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22557, 22487])).
% 50.67/33.15 tff(22559,plain,
% 50.67/33.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex1))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22560,plain,
% 50.67/33.15 (((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex1)) | v94(constB179) | v84(constB179, bitIndex1)) <=> ((~v84(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex1))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22561,plain,
% 50.67/33.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex1)) | v94(constB179) | v84(constB179, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex1)))),
% 50.67/33.15 inference(monotonicity,[status(thm)],[22560])).
% 50.67/33.15 tff(22562,plain,
% 50.67/33.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex1)) | v94(constB179) | v84(constB179, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex1))),
% 50.67/33.15 inference(transitivity,[status(thm)],[22561, 22559])).
% 50.67/33.15 tff(22563,plain,
% 50.67/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex1)) | v94(constB179) | v84(constB179, bitIndex1))),
% 50.67/33.15 inference(quant_inst,[status(thm)],[])).
% 50.67/33.15 tff(22564,plain,
% 50.67/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex1)),
% 50.67/33.15 inference(modus_ponens,[status(thm)],[22563, 22562])).
% 50.67/33.15 tff(22565,plain,
% 50.67/33.15 ((~v84(constB178, bitIndex1)) | v94(constB179) | v84(constB179, bitIndex1)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22564, 905, 22515])).
% 50.67/33.15 tff(22566,plain,
% 50.67/33.15 ((~v84(constB178, bitIndex1)) | v84(constB179, bitIndex1)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22565, 22527])).
% 50.67/33.15 tff(22567,plain,
% 50.67/33.15 (v84(constB179, bitIndex1)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22566, 22558])).
% 50.67/33.15 tff(22568,plain,
% 50.67/33.15 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB177)) | (~v124(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB177)) | (~v124(constB177, bitIndex0)))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22569,plain,
% 50.67/33.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB177)) | (~v124(constB177, bitIndex0)))),
% 50.67/33.15 inference(quant_inst,[status(thm)],[])).
% 50.67/33.15 tff(22570,plain,
% 50.67/33.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB177)) | (~v124(constB177, bitIndex0))),
% 50.67/33.15 inference(modus_ponens,[status(thm)],[22569, 22568])).
% 50.67/33.15 tff(22571,plain,
% 50.67/33.15 (~v124(constB177, bitIndex0)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22570, 1550, 22401])).
% 50.67/33.15 tff(22572,plain,
% 50.67/33.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22573,plain,
% 50.67/33.15 ((v26(constB177) | v124(constB177, bitIndex0) | (~v121(constB177, bitIndex0))) <=> ((~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22574,plain,
% 50.67/33.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB177) | v124(constB177, bitIndex0) | (~v121(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0)))),
% 50.67/33.15 inference(monotonicity,[status(thm)],[22573])).
% 50.67/33.15 tff(22575,plain,
% 50.67/33.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB177) | v124(constB177, bitIndex0) | (~v121(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0))),
% 50.67/33.15 inference(transitivity,[status(thm)],[22574, 22572])).
% 50.67/33.15 tff(22576,plain,
% 50.67/33.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB177) | v124(constB177, bitIndex0) | (~v121(constB177, bitIndex0)))),
% 50.67/33.15 inference(quant_inst,[status(thm)],[])).
% 50.67/33.15 tff(22577,plain,
% 50.67/33.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0)),
% 50.67/33.15 inference(modus_ponens,[status(thm)],[22576, 22575])).
% 50.67/33.15 tff(22578,plain,
% 50.67/33.15 ((~v121(constB177, bitIndex0)) | v124(constB177, bitIndex0)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22577, 607, 22438])).
% 50.67/33.15 tff(22579,plain,
% 50.67/33.15 (~v121(constB177, bitIndex0)),
% 50.67/33.15 inference(unit_resolution,[status(thm)],[22578, 22571])).
% 50.67/33.15 tff(22580,plain,
% 50.67/33.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0)))),
% 50.67/33.15 inference(rewrite,[status(thm)],[])).
% 50.67/33.15 tff(22581,plain,
% 50.67/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0)))),
% 50.67/33.15 inference(quant_inst,[status(thm)],[])).
% 50.67/33.15 tff(22582,plain,
% 50.67/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0))),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22581, 22580])).
% 50.67/33.16 tff(22583,plain,
% 50.67/33.16 (v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0))),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22582, 637, 22453])).
% 50.67/33.16 tff(22584,plain,
% 50.67/33.16 (~v123(constB178, bitIndex0)),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22583, 22579])).
% 50.67/33.16 tff(22585,plain,
% 50.67/33.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22586,plain,
% 50.67/33.16 (((~v84(constB178, bitIndex0)) | (~v94(constB178)) | v123(constB178, bitIndex0)) <=> ((~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22587,plain,
% 50.67/33.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~v94(constB178)) | v123(constB178, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178))))),
% 50.67/33.16 inference(monotonicity,[status(thm)],[22586])).
% 50.67/33.16 tff(22588,plain,
% 50.67/33.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~v94(constB178)) | v123(constB178, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178)))),
% 50.67/33.16 inference(transitivity,[status(thm)],[22587, 22585])).
% 50.67/33.16 tff(22589,plain,
% 50.67/33.16 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~v94(constB178)) | v123(constB178, bitIndex0))),
% 50.67/33.16 inference(quant_inst,[status(thm)],[])).
% 50.67/33.16 tff(22590,plain,
% 50.67/33.16 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178))),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22589, 22588])).
% 50.67/33.16 tff(22591,plain,
% 50.67/33.16 ((~v84(constB178, bitIndex0)) | (~v94(constB178))),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22590, 652, 22584])).
% 50.67/33.16 tff(22592,plain,
% 50.67/33.16 (~v84(constB178, bitIndex0)),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22591, 22487])).
% 50.67/33.16 tff(22593,plain,
% 50.67/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22594,plain,
% 50.67/33.16 (((~nextState(constB178, constB179)) | v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0))) <=> (v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22595,plain,
% 50.67/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0))))),
% 50.67/33.16 inference(monotonicity,[status(thm)],[22594])).
% 50.67/33.16 tff(22596,plain,
% 50.67/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0)))),
% 50.67/33.16 inference(transitivity,[status(thm)],[22595, 22593])).
% 50.67/33.16 tff(22597,plain,
% 50.67/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0)))),
% 50.67/33.16 inference(quant_inst,[status(thm)],[])).
% 50.67/33.16 tff(22598,plain,
% 50.67/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0))),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22597, 22596])).
% 50.67/33.16 tff(22599,plain,
% 50.67/33.16 (v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0))),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22598, 184, 22515])).
% 50.67/33.16 tff(22600,plain,
% 50.67/33.16 (v84(constB178, bitIndex0) | (~v84(constB179, bitIndex0))),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22599, 22527])).
% 50.67/33.16 tff(22601,plain,
% 50.67/33.16 (~v84(constB179, bitIndex0)),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22600, 22592])).
% 50.67/33.16 tff(22602,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22603,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179))),
% 50.67/33.16 inference(quant_inst,[status(thm)],[])).
% 50.67/33.16 tff(22604,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179)),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22603, 22602])).
% 50.67/33.16 tff(22605,plain,
% 50.67/33.16 (v115(constB179)),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22604, 1594, 22601, 22567, 22536])).
% 50.67/33.16 tff(22606,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB179) | (~v115(constB179)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB179) | (~v115(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22607,plain,
% 50.67/33.16 (((~v115(constB179)) | v111(constB179)) <=> (v111(constB179) | (~v115(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22608,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB179)) | v111(constB179))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB179) | (~v115(constB179))))),
% 50.67/33.16 inference(monotonicity,[status(thm)],[22607])).
% 50.67/33.16 tff(22609,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB179)) | v111(constB179))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB179) | (~v115(constB179)))),
% 50.67/33.16 inference(transitivity,[status(thm)],[22608, 22606])).
% 50.67/33.16 tff(22610,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB179)) | v111(constB179))),
% 50.67/33.16 inference(quant_inst,[status(thm)],[])).
% 50.67/33.16 tff(22611,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB179) | (~v115(constB179))),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22610, 22609])).
% 50.67/33.16 tff(22612,plain,
% 50.67/33.16 (v111(constB179)),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22611, 1605, 22605])).
% 50.67/33.16 tff(22613,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB179) | (~v111(constB179)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB179) | (~v111(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22614,plain,
% 50.67/33.16 (((~v111(constB179)) | v110(constB179)) <=> (v110(constB179) | (~v111(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22615,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB179)) | v110(constB179))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB179) | (~v111(constB179))))),
% 50.67/33.16 inference(monotonicity,[status(thm)],[22614])).
% 50.67/33.16 tff(22616,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB179)) | v110(constB179))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB179) | (~v111(constB179)))),
% 50.67/33.16 inference(transitivity,[status(thm)],[22615, 22613])).
% 50.67/33.16 tff(22617,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB179)) | v110(constB179))),
% 50.67/33.16 inference(quant_inst,[status(thm)],[])).
% 50.67/33.16 tff(22618,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB179) | (~v111(constB179))),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22617, 22616])).
% 50.67/33.16 tff(22619,plain,
% 50.67/33.16 (v110(constB179)),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22618, 292, 22612])).
% 50.67/33.16 tff(22620,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB179) | (~v110(constB179)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB179) | (~v110(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22621,plain,
% 50.67/33.16 (((~v110(constB179)) | v109(constB179)) <=> (v109(constB179) | (~v110(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22622,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB179)) | v109(constB179))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB179) | (~v110(constB179))))),
% 50.67/33.16 inference(monotonicity,[status(thm)],[22621])).
% 50.67/33.16 tff(22623,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB179)) | v109(constB179))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB179) | (~v110(constB179)))),
% 50.67/33.16 inference(transitivity,[status(thm)],[22622, 22620])).
% 50.67/33.16 tff(22624,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB179)) | v109(constB179))),
% 50.67/33.16 inference(quant_inst,[status(thm)],[])).
% 50.67/33.16 tff(22625,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB179) | (~v110(constB179))),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22624, 22623])).
% 50.67/33.16 tff(22626,plain,
% 50.67/33.16 (v109(constB179)),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22625, 306, 22619])).
% 50.67/33.16 tff(22627,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v109(constB179)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v109(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22628,plain,
% 50.67/33.16 (((~v109(constB179)) | v108(constB179)) <=> (v108(constB179) | (~v109(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22629,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v109(constB179))))),
% 50.67/33.16 inference(monotonicity,[status(thm)],[22628])).
% 50.67/33.16 tff(22630,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v109(constB179)))),
% 50.67/33.16 inference(transitivity,[status(thm)],[22629, 22627])).
% 50.67/33.16 tff(22631,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB179)) | v108(constB179))),
% 50.67/33.16 inference(quant_inst,[status(thm)],[])).
% 50.67/33.16 tff(22632,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v109(constB179))),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22631, 22630])).
% 50.67/33.16 tff(22633,plain,
% 50.67/33.16 (v108(constB179)),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22632, 320, 22626])).
% 50.67/33.16 tff(22634,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB179)) | v107(constB179))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB179)) | v107(constB179))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22635,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB179)) | v107(constB179))),
% 50.67/33.16 inference(quant_inst,[status(thm)],[])).
% 50.67/33.16 tff(22636,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB179)) | v107(constB179)),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22635, 22634])).
% 50.67/33.16 tff(22637,plain,
% 50.67/33.16 (v107(constB179)),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22636, 334, 22633])).
% 50.67/33.16 tff(22638,assumption,(v26(constB179)), introduced(assumption)).
% 50.67/33.16 tff(22639,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB179))),
% 50.67/33.16 inference(quant_inst,[status(thm)],[])).
% 50.67/33.16 tff(22640,plain,
% 50.67/33.16 ($false),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22639, 55, 22638])).
% 50.67/33.16 tff(22641,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 50.67/33.16 tff(22642,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | v106(constB179) | (~v107(constB179)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB179) | v106(constB179) | (~v107(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22643,plain,
% 50.67/33.16 ((v26(constB179) | (~v107(constB179)) | v106(constB179)) <=> (v26(constB179) | v106(constB179) | (~v107(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22644,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | (~v107(constB179)) | v106(constB179))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | v106(constB179) | (~v107(constB179))))),
% 50.67/33.16 inference(monotonicity,[status(thm)],[22643])).
% 50.67/33.16 tff(22645,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | (~v107(constB179)) | v106(constB179))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB179) | v106(constB179) | (~v107(constB179)))),
% 50.67/33.16 inference(transitivity,[status(thm)],[22644, 22642])).
% 50.67/33.16 tff(22646,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | (~v107(constB179)) | v106(constB179))),
% 50.67/33.16 inference(quant_inst,[status(thm)],[])).
% 50.67/33.16 tff(22647,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB179) | v106(constB179) | (~v107(constB179))),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22646, 22645])).
% 50.67/33.16 tff(22648,plain,
% 50.67/33.16 (v106(constB179) | (~v107(constB179))),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22647, 348, 22641])).
% 50.67/33.16 tff(22649,plain,
% 50.67/33.16 (v106(constB179)),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22648, 22637])).
% 50.67/33.16 tff(22650,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB179) | (~v106(constB179)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB179) | (~v106(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22651,plain,
% 50.67/33.16 (((~v106(constB179)) | v102(constB179)) <=> (v102(constB179) | (~v106(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22652,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB179)) | v102(constB179))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB179) | (~v106(constB179))))),
% 50.67/33.16 inference(monotonicity,[status(thm)],[22651])).
% 50.67/33.16 tff(22653,plain,
% 50.67/33.16 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB179)) | v102(constB179))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB179) | (~v106(constB179)))),
% 50.67/33.16 inference(transitivity,[status(thm)],[22652, 22650])).
% 50.67/33.16 tff(22654,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB179)) | v102(constB179))),
% 50.67/33.16 inference(quant_inst,[status(thm)],[])).
% 50.67/33.16 tff(22655,plain,
% 50.67/33.16 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB179) | (~v106(constB179))),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22654, 22653])).
% 50.67/33.16 tff(22656,plain,
% 50.67/33.16 (v102(constB179)),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22655, 504, 22649])).
% 50.67/33.16 tff(22657,plain,
% 50.67/33.16 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22658,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 50.67/33.16 tff(22659,plain,
% 50.67/33.16 (nextState(constB179, constB180)),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22658, 22657])).
% 50.67/33.16 tff(22660,plain,
% 50.67/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22661,plain,
% 50.67/33.16 (((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180)) <=> ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 50.67/33.16 inference(rewrite,[status(thm)],[])).
% 50.67/33.16 tff(22662,plain,
% 50.67/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179))))),
% 50.67/33.16 inference(monotonicity,[status(thm)],[22661])).
% 50.67/33.16 tff(22663,plain,
% 50.67/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 50.67/33.16 inference(transitivity,[status(thm)],[22662, 22660])).
% 50.67/33.16 tff(22664,plain,
% 50.67/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))),
% 50.67/33.16 inference(quant_inst,[status(thm)],[])).
% 50.67/33.16 tff(22665,plain,
% 50.67/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179))),
% 50.67/33.16 inference(modus_ponens,[status(thm)],[22664, 22663])).
% 50.67/33.16 tff(22666,plain,
% 50.67/33.16 (v104(constB180) | (~v102(constB179))),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22665, 489, 22659])).
% 50.67/33.16 tff(22667,plain,
% 50.67/33.16 (v104(constB180)),
% 50.67/33.16 inference(unit_resolution,[status(thm)],[22666, 22656])).
% 50.67/33.16 tff(22668,plain,
% 50.67/33.16 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22669,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))),
% 50.67/33.17 inference(quant_inst,[status(thm)],[])).
% 50.67/33.17 tff(22670,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180))),
% 50.67/33.17 inference(modus_ponens,[status(thm)],[22669, 22668])).
% 50.67/33.17 tff(22671,plain,
% 50.67/33.17 (~v98(constB180)),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22670, 423, 22659, 22512])).
% 50.67/33.17 tff(22672,plain,
% 50.67/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22673,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))),
% 50.67/33.17 inference(quant_inst,[status(thm)],[])).
% 50.67/33.17 tff(22674,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB179, constB180)) | v96(constB180) | v98(constB180)),
% 50.67/33.17 inference(modus_ponens,[status(thm)],[22673, 22672])).
% 50.67/33.17 tff(22675,plain,
% 50.67/33.17 (v96(constB180) | v98(constB180)),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22674, 437, 22659])).
% 50.67/33.17 tff(22676,plain,
% 50.67/33.17 (v96(constB180)),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22675, 22671])).
% 50.67/33.17 tff(22677,plain,
% 50.67/33.17 (v1(constB180) <=> v1(constB180)),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22678,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 50.67/33.17 tff(22679,plain,
% 50.67/33.17 (v1(constB180)),
% 50.67/33.17 inference(modus_ponens,[status(thm)],[22678, 22677])).
% 50.67/33.17 tff(22680,plain,
% 50.67/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22681,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))),
% 50.67/33.17 inference(quant_inst,[status(thm)],[])).
% 50.67/33.17 tff(22682,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180))),
% 50.67/33.17 inference(modus_ponens,[status(thm)],[22681, 22680])).
% 50.67/33.17 tff(22683,plain,
% 50.67/33.17 (v95(constB180) | (~v96(constB180))),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22682, 455, 22659, 22679])).
% 50.67/33.17 tff(22684,plain,
% 50.67/33.17 (v95(constB180)),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22683, 22676])).
% 50.67/33.17 tff(22685,plain,
% 50.67/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22686,plain,
% 50.67/33.17 (((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180)) <=> ((~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22687,plain,
% 50.67/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180))))),
% 50.67/33.17 inference(monotonicity,[status(thm)],[22686])).
% 50.67/33.17 tff(22688,plain,
% 50.67/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))),
% 50.67/33.17 inference(transitivity,[status(thm)],[22687, 22685])).
% 50.67/33.17 tff(22689,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))),
% 50.67/33.17 inference(quant_inst,[status(thm)],[])).
% 50.67/33.17 tff(22690,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180))),
% 50.67/33.17 inference(modus_ponens,[status(thm)],[22689, 22688])).
% 50.67/33.17 tff(22691,plain,
% 50.67/33.17 (v94(constB180) | (~v95(constB180)) | (~v104(constB180))),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22690, 470, 22659])).
% 50.67/33.17 tff(22692,plain,
% 50.67/33.17 (v94(constB180) | (~v104(constB180))),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22691, 22684])).
% 50.67/33.17 tff(22693,plain,
% 50.67/33.17 (v94(constB180)),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22692, 22667])).
% 50.67/33.17 tff(22694,plain,
% 50.67/33.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB179)) | (~v124(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB179)) | (~v124(constB179, bitIndex2)))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22695,plain,
% 50.67/33.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB179)) | (~v124(constB179, bitIndex2)))),
% 50.67/33.17 inference(quant_inst,[status(thm)],[])).
% 50.67/33.17 tff(22696,plain,
% 50.67/33.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB179)) | (~v124(constB179, bitIndex2))),
% 50.67/33.17 inference(modus_ponens,[status(thm)],[22695, 22694])).
% 50.67/33.17 tff(22697,plain,
% 50.67/33.17 (~v124(constB179, bitIndex2)),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22696, 1690, 22605])).
% 50.67/33.17 tff(22698,plain,
% 50.67/33.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22699,plain,
% 50.67/33.17 ((v26(constB179) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2))) <=> ((~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22700,plain,
% 50.67/33.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB179) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2)))),
% 50.67/33.17 inference(monotonicity,[status(thm)],[22699])).
% 50.67/33.17 tff(22701,plain,
% 50.67/33.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB179) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2))),
% 50.67/33.17 inference(transitivity,[status(thm)],[22700, 22698])).
% 50.67/33.17 tff(22702,plain,
% 50.67/33.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB179) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2)))),
% 50.67/33.17 inference(quant_inst,[status(thm)],[])).
% 50.67/33.17 tff(22703,plain,
% 50.67/33.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2)),
% 50.67/33.17 inference(modus_ponens,[status(thm)],[22702, 22701])).
% 50.67/33.17 tff(22704,plain,
% 50.67/33.17 ((~v121(constB179, bitIndex2)) | v124(constB179, bitIndex2)),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22703, 1187, 22641])).
% 50.67/33.17 tff(22705,plain,
% 50.67/33.17 (~v121(constB179, bitIndex2)),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22704, 22697])).
% 50.67/33.17 tff(22706,plain,
% 50.67/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22707,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 50.67/33.17 inference(quant_inst,[status(thm)],[])).
% 50.67/33.17 tff(22708,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2))),
% 50.67/33.17 inference(modus_ponens,[status(thm)],[22707, 22706])).
% 50.67/33.17 tff(22709,plain,
% 50.67/33.17 (v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2))),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22708, 1205, 22659])).
% 50.67/33.17 tff(22710,plain,
% 50.67/33.17 (~v123(constB180, bitIndex2)),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22709, 22705])).
% 50.67/33.17 tff(22711,plain,
% 50.67/33.17 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180)))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22712,plain,
% 50.67/33.17 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180)))),
% 50.67/33.17 inference(quant_inst,[status(thm)],[])).
% 50.67/33.17 tff(22713,plain,
% 50.67/33.17 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180))),
% 50.67/33.17 inference(modus_ponens,[status(thm)],[22712, 22711])).
% 50.67/33.17 tff(22714,plain,
% 50.67/33.17 ((~v84(constB180, bitIndex2)) | (~v94(constB180))),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22713, 1220, 22710])).
% 50.67/33.17 tff(22715,plain,
% 50.67/33.17 (~v84(constB180, bitIndex2)),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22714, 22693])).
% 50.67/33.17 tff(22716,plain,
% 50.67/33.17 ((~v1(constB181)) <=> (~v1(constB181))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22717,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 50.67/33.17 tff(22718,plain,
% 50.67/33.17 (~v1(constB181)),
% 50.67/33.17 inference(modus_ponens,[status(thm)],[22717, 22716])).
% 50.67/33.17 tff(22719,plain,
% 50.67/33.17 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22720,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 50.67/33.17 tff(22721,plain,
% 50.67/33.17 (nextState(constB180, constB181)),
% 50.67/33.17 inference(modus_ponens,[status(thm)],[22720, 22719])).
% 50.67/33.17 tff(22722,plain,
% 50.67/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22723,plain,
% 50.67/33.17 (((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22724,plain,
% 50.67/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181))))),
% 50.67/33.17 inference(monotonicity,[status(thm)],[22723])).
% 50.67/33.17 tff(22725,plain,
% 50.67/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 50.67/33.17 inference(transitivity,[status(thm)],[22724, 22722])).
% 50.67/33.17 tff(22726,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))),
% 50.67/33.17 inference(quant_inst,[status(thm)],[])).
% 50.67/33.17 tff(22727,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181))),
% 50.67/33.17 inference(modus_ponens,[status(thm)],[22726, 22725])).
% 50.67/33.17 tff(22728,plain,
% 50.67/33.17 (~v95(constB181)),
% 50.67/33.17 inference(unit_resolution,[status(thm)],[22727, 110, 22721, 22718])).
% 50.67/33.17 tff(22729,plain,
% 50.67/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))),
% 50.67/33.17 inference(rewrite,[status(thm)],[])).
% 50.67/33.17 tff(22730,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))),
% 50.67/33.17 inference(quant_inst,[status(thm)],[])).
% 50.67/33.17 tff(22731,plain,
% 50.67/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181))),
% 50.67/33.18 inference(modus_ponens,[status(thm)],[22730, 22729])).
% 50.67/33.18 tff(22732,plain,
% 50.67/33.18 (v95(constB181) | (~v94(constB181))),
% 50.67/33.18 inference(unit_resolution,[status(thm)],[22731, 127, 22721])).
% 50.67/33.18 tff(22733,plain,
% 50.67/33.18 (~v94(constB181)),
% 50.67/33.18 inference(unit_resolution,[status(thm)],[22732, 22728])).
% 50.67/33.18 tff(22734,plain,
% 50.67/33.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2)))),
% 50.67/33.18 inference(rewrite,[status(thm)],[])).
% 50.67/33.18 tff(22735,plain,
% 50.67/33.18 (((~nextState(constB180, constB181)) | v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2))) <=> (v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2)))),
% 50.67/33.18 inference(rewrite,[status(thm)],[])).
% 50.67/33.18 tff(22736,plain,
% 50.67/33.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2))))),
% 50.67/33.18 inference(monotonicity,[status(thm)],[22735])).
% 50.67/33.18 tff(22737,plain,
% 50.67/33.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2)))),
% 50.67/33.18 inference(transitivity,[status(thm)],[22736, 22734])).
% 50.67/33.18 tff(22738,plain,
% 50.67/33.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2)))),
% 50.67/33.18 inference(quant_inst,[status(thm)],[])).
% 50.67/33.18 tff(22739,plain,
% 50.67/33.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2))),
% 50.67/33.18 inference(modus_ponens,[status(thm)],[22738, 22737])).
% 50.67/33.18 tff(22740,plain,
% 50.67/33.18 (v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2))),
% 50.67/33.18 inference(unit_resolution,[status(thm)],[22739, 142, 22721])).
% 50.67/33.18 tff(22741,plain,
% 50.67/33.18 (v84(constB180, bitIndex2) | (~v84(constB181, bitIndex2))),
% 50.67/33.18 inference(unit_resolution,[status(thm)],[22740, 22733])).
% 50.67/33.18 tff(22742,plain,
% 50.67/33.18 (~v84(constB181, bitIndex2)),
% 50.67/33.18 inference(unit_resolution,[status(thm)],[22741, 22715])).
% 50.67/33.18 tff(22743,plain,
% 50.67/33.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB179)) | v124(constB179, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB179)) | v124(constB179, bitIndex1))),
% 50.67/33.18 inference(rewrite,[status(thm)],[])).
% 50.67/33.18 tff(22744,plain,
% 50.67/33.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB179)) | v124(constB179, bitIndex1))),
% 50.67/33.18 inference(quant_inst,[status(thm)],[])).
% 50.67/33.18 tff(22745,plain,
% 50.67/33.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB179)) | v124(constB179, bitIndex1)),
% 50.67/33.18 inference(modus_ponens,[status(thm)],[22744, 22743])).
% 50.67/33.18 tff(22746,plain,
% 50.67/33.18 (v124(constB179, bitIndex1)),
% 50.67/33.18 inference(unit_resolution,[status(thm)],[22745, 1746, 22605])).
% 50.67/33.18 tff(22747,plain,
% 50.67/33.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1))),
% 50.67/33.18 inference(rewrite,[status(thm)],[])).
% 50.67/33.18 tff(22748,plain,
% 50.67/33.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1))),
% 50.67/33.18 inference(quant_inst,[status(thm)],[])).
% 50.67/33.18 tff(22749,plain,
% 50.67/33.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1)),
% 50.67/33.18 inference(modus_ponens,[status(thm)],[22748, 22747])).
% 50.67/33.18 tff(22750,plain,
% 50.67/33.18 ((~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1)),
% 50.67/33.18 inference(unit_resolution,[status(thm)],[22749, 857, 22641])).
% 50.67/33.18 tff(22751,plain,
% 50.67/33.18 (v121(constB179, bitIndex1)),
% 50.67/33.18 inference(unit_resolution,[status(thm)],[22750, 22746])).
% 50.67/33.18 tff(22752,plain,
% 50.67/33.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1))),
% 50.67/33.18 inference(rewrite,[status(thm)],[])).
% 50.67/33.18 tff(22753,plain,
% 50.67/33.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1))),
% 50.67/33.18 inference(quant_inst,[status(thm)],[])).
% 50.67/33.18 tff(22754,plain,
% 50.67/33.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1)),
% 50.67/33.18 inference(modus_ponens,[status(thm)],[22753, 22752])).
% 50.67/33.18 tff(22755,plain,
% 50.67/33.18 ((~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1)),
% 50.67/33.18 inference(unit_resolution,[status(thm)],[22754, 872, 22659])).
% 50.67/33.18 tff(22756,plain,
% 50.67/33.18 (v123(constB180, bitIndex1)),
% 50.67/33.18 inference(unit_resolution,[status(thm)],[22755, 22751])).
% 50.67/33.18 tff(22757,plain,
% 50.67/33.18 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))),
% 50.67/33.18 inference(rewrite,[status(thm)],[])).
% 50.67/33.18 tff(22758,plain,
% 50.67/33.18 ((v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1))) <=> (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))),
% 50.67/33.18 inference(rewrite,[status(thm)],[])).
% 50.67/33.18 tff(22759,plain,
% 50.67/33.18 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180))))),
% 50.67/33.18 inference(monotonicity,[status(thm)],[22758])).
% 50.67/33.18 tff(22760,plain,
% 50.67/33.18 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))),
% 50.67/33.18 inference(transitivity,[status(thm)],[22759, 22757])).
% 50.67/33.18 tff(22761,plain,
% 50.67/33.18 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1)))),
% 50.67/33.18 inference(quant_inst,[status(thm)],[])).
% 50.67/33.18 tff(22762,plain,
% 50.67/33.18 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180))),
% 50.67/33.18 inference(modus_ponens,[status(thm)],[22761, 22760])).
% 50.67/33.18 tff(22763,plain,
% 50.67/33.18 (v84(constB180, bitIndex1) | (~v94(constB180))),
% 50.67/33.18 inference(unit_resolution,[status(thm)],[22762, 887, 22756])).
% 50.67/33.18 tff(22764,plain,
% 50.67/33.18 (v84(constB180, bitIndex1)),
% 50.67/33.18 inference(unit_resolution,[status(thm)],[22763, 22693])).
% 50.67/33.18 tff(22765,plain,
% 50.67/33.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))),
% 50.67/33.18 inference(rewrite,[status(thm)],[])).
% 50.67/33.18 tff(22766,plain,
% 50.67/33.18 (((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1)) <=> ((~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))),
% 50.67/33.18 inference(rewrite,[status(thm)],[])).
% 50.67/33.18 tff(22767,plain,
% 50.67/33.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1)))),
% 50.67/33.18 inference(monotonicity,[status(thm)],[22766])).
% 50.67/33.18 tff(22768,plain,
% 50.67/33.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))),
% 50.67/33.18 inference(transitivity,[status(thm)],[22767, 22765])).
% 50.67/33.18 tff(22769,plain,
% 50.67/33.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1))),
% 50.67/33.18 inference(quant_inst,[status(thm)],[])).
% 50.67/33.18 tff(22770,plain,
% 50.67/33.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1)),
% 50.67/33.18 inference(modus_ponens,[status(thm)],[22769, 22768])).
% 50.67/33.18 tff(22771,plain,
% 50.67/33.19 ((~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22770, 905, 22721])).
% 50.67/33.19 tff(22772,plain,
% 50.67/33.19 ((~v84(constB180, bitIndex1)) | v84(constB181, bitIndex1)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22771, 22733])).
% 50.67/33.19 tff(22773,plain,
% 50.67/33.19 (v84(constB181, bitIndex1)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22772, 22764])).
% 50.67/33.19 tff(22774,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB179)) | v124(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB179)) | v124(constB179, bitIndex0))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22775,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB179)) | v124(constB179, bitIndex0))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22776,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB179)) | v124(constB179, bitIndex0)),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22775, 22774])).
% 50.67/33.19 tff(22777,plain,
% 50.67/33.19 (v124(constB179, bitIndex0)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22776, 1784, 22605])).
% 50.67/33.19 tff(22778,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB179) | (~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB179) | (~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22779,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB179) | (~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22780,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB179) | (~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0)),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22779, 22778])).
% 50.67/33.19 tff(22781,plain,
% 50.67/33.19 ((~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22780, 1391, 22641])).
% 50.67/33.19 tff(22782,plain,
% 50.67/33.19 (v121(constB179, bitIndex0)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22781, 22777])).
% 50.67/33.19 tff(22783,plain,
% 50.67/33.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22784,plain,
% 50.67/33.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22785,plain,
% 50.67/33.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0)),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22784, 22783])).
% 50.67/33.19 tff(22786,plain,
% 50.67/33.19 ((~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22785, 1406, 22659])).
% 50.67/33.19 tff(22787,plain,
% 50.67/33.19 (v123(constB180, bitIndex0)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22786, 22782])).
% 50.67/33.19 tff(22788,plain,
% 50.67/33.19 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)) | (~v94(constB180)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)) | (~v94(constB180)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22789,plain,
% 50.67/33.19 ((v84(constB180, bitIndex0) | (~v94(constB180)) | (~v123(constB180, bitIndex0))) <=> (v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)) | (~v94(constB180)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22790,plain,
% 50.67/33.19 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~v94(constB180)) | (~v123(constB180, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)) | (~v94(constB180))))),
% 50.67/33.19 inference(monotonicity,[status(thm)],[22789])).
% 50.67/33.19 tff(22791,plain,
% 50.67/33.19 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~v94(constB180)) | (~v123(constB180, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)) | (~v94(constB180)))),
% 50.67/33.19 inference(transitivity,[status(thm)],[22790, 22788])).
% 50.67/33.19 tff(22792,plain,
% 50.67/33.19 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~v94(constB180)) | (~v123(constB180, bitIndex0)))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22793,plain,
% 50.67/33.19 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)) | (~v94(constB180))),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22792, 22791])).
% 50.67/33.19 tff(22794,plain,
% 50.67/33.19 (v84(constB180, bitIndex0) | (~v94(constB180))),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22793, 1421, 22787])).
% 50.67/33.19 tff(22795,plain,
% 50.67/33.19 (v84(constB180, bitIndex0)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22794, 22693])).
% 50.67/33.19 tff(22796,plain,
% 50.67/33.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex0))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22797,plain,
% 50.67/33.19 (((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex0)) | v94(constB181) | v84(constB181, bitIndex0)) <=> ((~v84(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex0))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22798,plain,
% 50.67/33.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex0)) | v94(constB181) | v84(constB181, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex0)))),
% 50.67/33.19 inference(monotonicity,[status(thm)],[22797])).
% 50.67/33.19 tff(22799,plain,
% 50.67/33.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex0)) | v94(constB181) | v84(constB181, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex0))),
% 50.67/33.19 inference(transitivity,[status(thm)],[22798, 22796])).
% 50.67/33.19 tff(22800,plain,
% 50.67/33.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex0)) | v94(constB181) | v84(constB181, bitIndex0))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22801,plain,
% 50.67/33.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex0)),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22800, 22799])).
% 50.67/33.19 tff(22802,plain,
% 50.67/33.19 ((~v84(constB180, bitIndex0)) | v94(constB181) | v84(constB181, bitIndex0)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22801, 1439, 22721])).
% 50.67/33.19 tff(22803,plain,
% 50.67/33.19 ((~v84(constB180, bitIndex0)) | v84(constB181, bitIndex0)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22802, 22733])).
% 50.67/33.19 tff(22804,plain,
% 50.67/33.19 (v84(constB181, bitIndex0)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22803, 22795])).
% 50.67/33.19 tff(22805,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22806,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22807,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181)),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22806, 22805])).
% 50.67/33.19 tff(22808,plain,
% 50.67/33.19 (v116(constB181)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22807, 1825, 22804, 22773, 22742])).
% 50.67/33.19 tff(22809,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB181)) | (~v124(constB181, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB181)) | (~v124(constB181, bitIndex0)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22810,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB181)) | (~v124(constB181, bitIndex0)))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22811,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB181)) | (~v124(constB181, bitIndex0))),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22810, 22809])).
% 50.67/33.19 tff(22812,plain,
% 50.67/33.19 (~v124(constB181, bitIndex0)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22811, 2020, 22808])).
% 50.67/33.19 tff(22813,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB181)) | v124(constB181, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB181)) | v124(constB181, bitIndex2))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22814,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB181)) | v124(constB181, bitIndex2))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22815,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB181)) | v124(constB181, bitIndex2)),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22814, 22813])).
% 50.67/33.19 tff(22816,plain,
% 50.67/33.19 (v124(constB181, bitIndex2)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22815, 1923, 22808])).
% 50.67/33.19 tff(22817,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB181)) | (~v124(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB181)) | (~v124(constB181, bitIndex1)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22818,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB181)) | (~v124(constB181, bitIndex1)))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22819,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB181)) | (~v124(constB181, bitIndex1))),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22818, 22817])).
% 50.67/33.19 tff(22820,plain,
% 50.67/33.19 (~v124(constB181, bitIndex1)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22819, 1979, 22808])).
% 50.67/33.19 tff(22821,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB181) | (~v116(constB181)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB181) | (~v116(constB181)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22822,plain,
% 50.67/33.19 (((~v116(constB181)) | v110(constB181)) <=> (v110(constB181) | (~v116(constB181)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22823,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB181)) | v110(constB181))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB181) | (~v116(constB181))))),
% 50.67/33.19 inference(monotonicity,[status(thm)],[22822])).
% 50.67/33.19 tff(22824,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB181)) | v110(constB181))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB181) | (~v116(constB181)))),
% 50.67/33.19 inference(transitivity,[status(thm)],[22823, 22821])).
% 50.67/33.19 tff(22825,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB181)) | v110(constB181))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22826,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB181) | (~v116(constB181))),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22825, 22824])).
% 50.67/33.19 tff(22827,plain,
% 50.67/33.19 (v110(constB181)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22826, 1836, 22808])).
% 50.67/33.19 tff(22828,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB181) | (~v110(constB181)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB181) | (~v110(constB181)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22829,plain,
% 50.67/33.19 (((~v110(constB181)) | v109(constB181)) <=> (v109(constB181) | (~v110(constB181)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22830,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB181)) | v109(constB181))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB181) | (~v110(constB181))))),
% 50.67/33.19 inference(monotonicity,[status(thm)],[22829])).
% 50.67/33.19 tff(22831,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB181)) | v109(constB181))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB181) | (~v110(constB181)))),
% 50.67/33.19 inference(transitivity,[status(thm)],[22830, 22828])).
% 50.67/33.19 tff(22832,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB181)) | v109(constB181))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22833,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB181) | (~v110(constB181))),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22832, 22831])).
% 50.67/33.19 tff(22834,plain,
% 50.67/33.19 (v109(constB181)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22833, 306, 22827])).
% 50.67/33.19 tff(22835,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v109(constB181)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v109(constB181)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22836,plain,
% 50.67/33.19 (((~v109(constB181)) | v108(constB181)) <=> (v108(constB181) | (~v109(constB181)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22837,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v109(constB181))))),
% 50.67/33.19 inference(monotonicity,[status(thm)],[22836])).
% 50.67/33.19 tff(22838,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v109(constB181)))),
% 50.67/33.19 inference(transitivity,[status(thm)],[22837, 22835])).
% 50.67/33.19 tff(22839,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB181)) | v108(constB181))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22840,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v109(constB181))),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22839, 22838])).
% 50.67/33.19 tff(22841,plain,
% 50.67/33.19 (v108(constB181)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22840, 320, 22834])).
% 50.67/33.19 tff(22842,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB181) | (~v108(constB181)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB181) | (~v108(constB181)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22843,plain,
% 50.67/33.19 (((~v108(constB181)) | v107(constB181)) <=> (v107(constB181) | (~v108(constB181)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22844,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB181)) | v107(constB181))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB181) | (~v108(constB181))))),
% 50.67/33.19 inference(monotonicity,[status(thm)],[22843])).
% 50.67/33.19 tff(22845,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB181)) | v107(constB181))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB181) | (~v108(constB181)))),
% 50.67/33.19 inference(transitivity,[status(thm)],[22844, 22842])).
% 50.67/33.19 tff(22846,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB181)) | v107(constB181))),
% 50.67/33.19 inference(quant_inst,[status(thm)],[])).
% 50.67/33.19 tff(22847,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB181) | (~v108(constB181))),
% 50.67/33.19 inference(modus_ponens,[status(thm)],[22846, 22845])).
% 50.67/33.19 tff(22848,plain,
% 50.67/33.19 (v107(constB181)),
% 50.67/33.19 inference(unit_resolution,[status(thm)],[22847, 334, 22841])).
% 50.67/33.19 tff(22849,assumption,(~v102(constB181)), introduced(assumption)).
% 50.67/33.19 tff(22850,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB181) | (~v106(constB181)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB181) | (~v106(constB181)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22851,plain,
% 50.67/33.19 (((~v106(constB181)) | v102(constB181)) <=> (v102(constB181) | (~v106(constB181)))),
% 50.67/33.19 inference(rewrite,[status(thm)],[])).
% 50.67/33.19 tff(22852,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB181)) | v102(constB181))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB181) | (~v106(constB181))))),
% 50.67/33.19 inference(monotonicity,[status(thm)],[22851])).
% 50.67/33.19 tff(22853,plain,
% 50.67/33.19 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB181)) | v102(constB181))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB181) | (~v106(constB181)))),
% 50.67/33.19 inference(transitivity,[status(thm)],[22852, 22850])).
% 50.67/33.19 tff(22854,plain,
% 50.67/33.19 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB181)) | v102(constB181))),
% 50.67/33.20 inference(quant_inst,[status(thm)],[])).
% 50.67/33.20 tff(22855,plain,
% 50.67/33.20 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB181) | (~v106(constB181))),
% 50.67/33.20 inference(modus_ponens,[status(thm)],[22854, 22853])).
% 50.67/33.20 tff(22856,plain,
% 50.67/33.20 (~v106(constB181)),
% 50.67/33.20 inference(unit_resolution,[status(thm)],[22855, 504, 22849])).
% 50.67/33.20 tff(22857,plain,
% 50.67/33.20 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB181) | (~v26(constB181)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB181) | (~v26(constB181)))),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22858,plain,
% 50.67/33.20 (((~v26(constB181)) | v102(constB181)) <=> (v102(constB181) | (~v26(constB181)))),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22859,plain,
% 50.67/33.20 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB181)) | v102(constB181))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB181) | (~v26(constB181))))),
% 50.67/33.20 inference(monotonicity,[status(thm)],[22858])).
% 50.67/33.20 tff(22860,plain,
% 50.67/33.20 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB181)) | v102(constB181))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB181) | (~v26(constB181)))),
% 50.67/33.20 inference(transitivity,[status(thm)],[22859, 22857])).
% 50.67/33.20 tff(22861,plain,
% 50.67/33.20 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB181)) | v102(constB181))),
% 50.67/33.20 inference(quant_inst,[status(thm)],[])).
% 50.67/33.20 tff(22862,plain,
% 50.67/33.20 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB181) | (~v26(constB181))),
% 50.67/33.20 inference(modus_ponens,[status(thm)],[22861, 22860])).
% 50.67/33.20 tff(22863,plain,
% 50.67/33.20 (~v26(constB181)),
% 50.67/33.20 inference(unit_resolution,[status(thm)],[22862, 723, 22849])).
% 50.67/33.20 tff(22864,assumption,(v107(constB181)), introduced(assumption)).
% 50.67/33.20 tff(22865,plain,
% 50.67/33.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | v106(constB181) | (~v107(constB181)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22866,plain,
% 50.67/33.20 ((v26(constB181) | (~v107(constB181)) | v106(constB181)) <=> (v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22867,plain,
% 50.67/33.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | v106(constB181) | (~v107(constB181))))),
% 50.67/33.20 inference(monotonicity,[status(thm)],[22866])).
% 50.67/33.20 tff(22868,plain,
% 50.67/33.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 50.67/33.20 inference(transitivity,[status(thm)],[22867, 22865])).
% 50.67/33.20 tff(22869,plain,
% 50.67/33.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))),
% 50.67/33.20 inference(quant_inst,[status(thm)],[])).
% 50.67/33.20 tff(22870,plain,
% 50.67/33.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181))),
% 50.67/33.20 inference(modus_ponens,[status(thm)],[22869, 22868])).
% 50.67/33.20 tff(22871,plain,
% 50.67/33.20 (v26(constB181) | v106(constB181)),
% 50.67/33.20 inference(unit_resolution,[status(thm)],[22870, 348, 22864])).
% 50.67/33.20 tff(22872,plain,
% 50.67/33.20 ($false),
% 50.67/33.20 inference(unit_resolution,[status(thm)],[22871, 22863, 22856])).
% 50.67/33.20 tff(22873,plain,(v102(constB181) | (~v107(constB181))), inference(lemma,lemma(discharge,[]))).
% 50.67/33.20 tff(22874,plain,
% 50.67/33.20 (v102(constB181)),
% 50.67/33.20 inference(unit_resolution,[status(thm)],[22873, 22848])).
% 50.67/33.20 tff(22875,plain,
% 50.67/33.20 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22876,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 50.67/33.20 tff(22877,plain,
% 50.67/33.20 (nextState(constB181, constB182)),
% 50.67/33.20 inference(modus_ponens,[status(thm)],[22876, 22875])).
% 50.67/33.20 tff(22878,plain,
% 50.67/33.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22879,plain,
% 50.67/33.20 (((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182)) <=> ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22880,plain,
% 50.67/33.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181))))),
% 50.67/33.20 inference(monotonicity,[status(thm)],[22879])).
% 50.67/33.20 tff(22881,plain,
% 50.67/33.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 50.67/33.20 inference(transitivity,[status(thm)],[22880, 22878])).
% 50.67/33.20 tff(22882,plain,
% 50.67/33.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))),
% 50.67/33.20 inference(quant_inst,[status(thm)],[])).
% 50.67/33.20 tff(22883,plain,
% 50.67/33.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181))),
% 50.67/33.20 inference(modus_ponens,[status(thm)],[22882, 22881])).
% 50.67/33.20 tff(22884,plain,
% 50.67/33.20 (v104(constB182) | (~v102(constB181))),
% 50.67/33.20 inference(unit_resolution,[status(thm)],[22883, 489, 22877])).
% 50.67/33.20 tff(22885,plain,
% 50.67/33.20 (v104(constB182)),
% 50.67/33.20 inference(unit_resolution,[status(thm)],[22884, 22874])).
% 50.67/33.20 tff(22886,plain,
% 50.67/33.20 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22887,plain,
% 50.67/33.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))),
% 50.67/33.20 inference(quant_inst,[status(thm)],[])).
% 50.67/33.20 tff(22888,plain,
% 50.67/33.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182))),
% 50.67/33.20 inference(modus_ponens,[status(thm)],[22887, 22886])).
% 50.67/33.20 tff(22889,plain,
% 50.67/33.20 (~v98(constB182)),
% 50.67/33.20 inference(unit_resolution,[status(thm)],[22888, 423, 22877, 22718])).
% 50.67/33.20 tff(22890,plain,
% 50.67/33.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22891,plain,
% 50.67/33.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))),
% 50.67/33.20 inference(quant_inst,[status(thm)],[])).
% 50.67/33.20 tff(22892,plain,
% 50.67/33.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB181, constB182)) | v96(constB182) | v98(constB182)),
% 50.67/33.20 inference(modus_ponens,[status(thm)],[22891, 22890])).
% 50.67/33.20 tff(22893,plain,
% 50.67/33.20 (v96(constB182) | v98(constB182)),
% 50.67/33.20 inference(unit_resolution,[status(thm)],[22892, 437, 22877])).
% 50.67/33.20 tff(22894,plain,
% 50.67/33.20 (v96(constB182)),
% 50.67/33.20 inference(unit_resolution,[status(thm)],[22893, 22889])).
% 50.67/33.20 tff(22895,plain,
% 50.67/33.20 (v1(constB182) <=> v1(constB182)),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22896,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 50.67/33.20 tff(22897,plain,
% 50.67/33.20 (v1(constB182)),
% 50.67/33.20 inference(modus_ponens,[status(thm)],[22896, 22895])).
% 50.67/33.20 tff(22898,plain,
% 50.67/33.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22899,plain,
% 50.67/33.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))),
% 50.67/33.20 inference(quant_inst,[status(thm)],[])).
% 50.67/33.20 tff(22900,plain,
% 50.67/33.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182))),
% 50.67/33.20 inference(modus_ponens,[status(thm)],[22899, 22898])).
% 50.67/33.20 tff(22901,plain,
% 50.67/33.20 (v95(constB182) | (~v96(constB182))),
% 50.67/33.20 inference(unit_resolution,[status(thm)],[22900, 455, 22877, 22897])).
% 50.67/33.20 tff(22902,plain,
% 50.67/33.20 (v95(constB182)),
% 50.67/33.20 inference(unit_resolution,[status(thm)],[22901, 22894])).
% 50.67/33.20 tff(22903,plain,
% 50.67/33.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22904,plain,
% 50.67/33.20 (((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182)) <=> ((~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))),
% 50.67/33.20 inference(rewrite,[status(thm)],[])).
% 50.67/33.20 tff(22905,plain,
% 50.67/33.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182))))),
% 50.67/33.20 inference(monotonicity,[status(thm)],[22904])).
% 50.67/33.20 tff(22906,plain,
% 50.67/33.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))),
% 50.73/33.20 inference(transitivity,[status(thm)],[22905, 22903])).
% 50.73/33.20 tff(22907,plain,
% 50.73/33.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))),
% 50.73/33.20 inference(quant_inst,[status(thm)],[])).
% 50.73/33.20 tff(22908,plain,
% 50.73/33.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182))),
% 50.73/33.20 inference(modus_ponens,[status(thm)],[22907, 22906])).
% 50.73/33.20 tff(22909,plain,
% 50.73/33.20 (v94(constB182) | (~v95(constB182)) | (~v104(constB182))),
% 50.73/33.20 inference(unit_resolution,[status(thm)],[22908, 470, 22877])).
% 50.73/33.20 tff(22910,plain,
% 50.73/33.20 (v94(constB182) | (~v104(constB182))),
% 50.73/33.20 inference(unit_resolution,[status(thm)],[22909, 22902])).
% 50.73/33.20 tff(22911,plain,
% 50.73/33.20 (v94(constB182)),
% 50.73/33.20 inference(unit_resolution,[status(thm)],[22910, 22885])).
% 50.73/33.20 tff(22912,assumption,(v26(constB181)), introduced(assumption)).
% 50.73/33.20 tff(22913,plain,
% 50.73/33.20 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB181))),
% 50.73/33.20 inference(quant_inst,[status(thm)],[])).
% 50.73/33.20 tff(22914,plain,
% 50.73/33.20 ($false),
% 50.73/33.20 inference(unit_resolution,[status(thm)],[22913, 55, 22912])).
% 50.73/33.20 tff(22915,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.20 tff(22916,assumption,(~v26(constB181)), introduced(assumption)).
% 50.73/33.20 tff(22917,assumption,(v124(constB181, bitIndex2)), introduced(assumption)).
% 50.73/33.20 tff(22918,plain,
% 50.73/33.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB181) | (~v124(constB181, bitIndex2)) | v121(constB181, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB181) | (~v124(constB181, bitIndex2)) | v121(constB181, bitIndex2))),
% 50.73/33.20 inference(rewrite,[status(thm)],[])).
% 50.73/33.20 tff(22919,plain,
% 50.73/33.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB181) | (~v124(constB181, bitIndex2)) | v121(constB181, bitIndex2))),
% 50.73/33.20 inference(quant_inst,[status(thm)],[])).
% 50.73/33.20 tff(22920,plain,
% 50.73/33.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB181) | (~v124(constB181, bitIndex2)) | v121(constB181, bitIndex2)),
% 50.73/33.20 inference(modus_ponens,[status(thm)],[22919, 22918])).
% 50.73/33.20 tff(22921,plain,
% 50.73/33.20 (v26(constB181) | v121(constB181, bitIndex2)),
% 50.73/33.20 inference(unit_resolution,[status(thm)],[22920, 374, 22917])).
% 50.73/33.20 tff(22922,plain,
% 50.73/33.20 (v121(constB181, bitIndex2)),
% 50.73/33.20 inference(unit_resolution,[status(thm)],[22921, 22916])).
% 50.73/33.20 tff(22923,plain,
% 50.73/33.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v121(constB181, bitIndex2)) | v123(constB182, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB181, constB182)) | (~v121(constB181, bitIndex2)) | v123(constB182, bitIndex2))),
% 50.73/33.20 inference(rewrite,[status(thm)],[])).
% 50.73/33.20 tff(22924,plain,
% 50.73/33.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v121(constB181, bitIndex2)) | v123(constB182, bitIndex2))),
% 50.73/33.20 inference(quant_inst,[status(thm)],[])).
% 50.73/33.20 tff(22925,plain,
% 50.73/33.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB181, constB182)) | (~v121(constB181, bitIndex2)) | v123(constB182, bitIndex2)),
% 50.73/33.21 inference(modus_ponens,[status(thm)],[22924, 22923])).
% 50.73/33.21 tff(22926,plain,
% 50.73/33.21 ((~v121(constB181, bitIndex2)) | v123(constB182, bitIndex2)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22925, 389, 22877])).
% 50.73/33.21 tff(22927,plain,
% 50.73/33.21 (v123(constB182, bitIndex2)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22926, 22922])).
% 50.73/33.21 tff(22928,assumption,(v94(constB182)), introduced(assumption)).
% 50.73/33.21 tff(22929,plain,
% 50.73/33.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)) | (~v94(constB182)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)) | (~v94(constB182)))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22930,plain,
% 50.73/33.21 ((v84(constB182, bitIndex2) | (~v94(constB182)) | (~v123(constB182, bitIndex2))) <=> (v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)) | (~v94(constB182)))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22931,plain,
% 50.73/33.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~v94(constB182)) | (~v123(constB182, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)) | (~v94(constB182))))),
% 50.73/33.21 inference(monotonicity,[status(thm)],[22930])).
% 50.73/33.21 tff(22932,plain,
% 50.73/33.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~v94(constB182)) | (~v123(constB182, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)) | (~v94(constB182)))),
% 50.73/33.21 inference(transitivity,[status(thm)],[22931, 22929])).
% 50.73/33.21 tff(22933,plain,
% 50.73/33.21 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~v94(constB182)) | (~v123(constB182, bitIndex2)))),
% 50.73/33.21 inference(quant_inst,[status(thm)],[])).
% 50.73/33.21 tff(22934,plain,
% 50.73/33.21 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)) | (~v94(constB182))),
% 50.73/33.21 inference(modus_ponens,[status(thm)],[22933, 22932])).
% 50.73/33.21 tff(22935,plain,
% 50.73/33.21 (v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2))),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22934, 405, 22928])).
% 50.73/33.21 tff(22936,plain,
% 50.73/33.21 (v84(constB182, bitIndex2)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22935, 22927])).
% 50.73/33.21 tff(22937,plain,
% 50.73/33.21 ((~v1(constB183)) <=> (~v1(constB183))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22938,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 50.73/33.21 tff(22939,plain,
% 50.73/33.21 (~v1(constB183)),
% 50.73/33.21 inference(modus_ponens,[status(thm)],[22938, 22937])).
% 50.73/33.21 tff(22940,plain,
% 50.73/33.21 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22941,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 50.73/33.21 tff(22942,plain,
% 50.73/33.21 (nextState(constB182, constB183)),
% 50.73/33.21 inference(modus_ponens,[status(thm)],[22941, 22940])).
% 50.73/33.21 tff(22943,plain,
% 50.73/33.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22944,plain,
% 50.73/33.21 (((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22945,plain,
% 50.73/33.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183))))),
% 50.73/33.21 inference(monotonicity,[status(thm)],[22944])).
% 50.73/33.21 tff(22946,plain,
% 50.73/33.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 50.73/33.21 inference(transitivity,[status(thm)],[22945, 22943])).
% 50.73/33.21 tff(22947,plain,
% 50.73/33.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))),
% 50.73/33.21 inference(quant_inst,[status(thm)],[])).
% 50.73/33.21 tff(22948,plain,
% 50.73/33.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183))),
% 50.73/33.21 inference(modus_ponens,[status(thm)],[22947, 22946])).
% 50.73/33.21 tff(22949,plain,
% 50.73/33.21 (~v95(constB183)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22948, 110, 22942, 22939])).
% 50.73/33.21 tff(22950,plain,
% 50.73/33.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22951,plain,
% 50.73/33.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))),
% 50.73/33.21 inference(quant_inst,[status(thm)],[])).
% 50.73/33.21 tff(22952,plain,
% 50.73/33.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183))),
% 50.73/33.21 inference(modus_ponens,[status(thm)],[22951, 22950])).
% 50.73/33.21 tff(22953,plain,
% 50.73/33.21 (v95(constB183) | (~v94(constB183))),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22952, 127, 22942])).
% 50.73/33.21 tff(22954,plain,
% 50.73/33.21 (~v94(constB183)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22953, 22949])).
% 50.73/33.21 tff(22955,plain,
% 50.73/33.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex2))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22956,plain,
% 50.73/33.21 (((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex2)) | v94(constB183) | v84(constB183, bitIndex2)) <=> ((~v84(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex2))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22957,plain,
% 50.73/33.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex2)) | v94(constB183) | v84(constB183, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex2)))),
% 50.73/33.21 inference(monotonicity,[status(thm)],[22956])).
% 50.73/33.21 tff(22958,plain,
% 50.73/33.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex2)) | v94(constB183) | v84(constB183, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex2))),
% 50.73/33.21 inference(transitivity,[status(thm)],[22957, 22955])).
% 50.73/33.21 tff(22959,plain,
% 50.73/33.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex2)) | v94(constB183) | v84(constB183, bitIndex2))),
% 50.73/33.21 inference(quant_inst,[status(thm)],[])).
% 50.73/33.21 tff(22960,plain,
% 50.73/33.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex2)),
% 50.73/33.21 inference(modus_ponens,[status(thm)],[22959, 22958])).
% 50.73/33.21 tff(22961,plain,
% 50.73/33.21 ((~v84(constB182, bitIndex2)) | v94(constB183) | v84(constB183, bitIndex2)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22960, 576, 22942])).
% 50.73/33.21 tff(22962,plain,
% 50.73/33.21 ((~v84(constB182, bitIndex2)) | v84(constB183, bitIndex2)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22961, 22954])).
% 50.73/33.21 tff(22963,plain,
% 50.73/33.21 (v84(constB183, bitIndex2)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22962, 22936])).
% 50.73/33.21 tff(22964,assumption,(~v124(constB181, bitIndex0)), introduced(assumption)).
% 50.73/33.21 tff(22965,plain,
% 50.73/33.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB181, bitIndex0)) | v26(constB181) | v124(constB181, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB181, bitIndex0)) | v26(constB181) | v124(constB181, bitIndex0))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22966,plain,
% 50.73/33.21 ((v26(constB181) | v124(constB181, bitIndex0) | (~v121(constB181, bitIndex0))) <=> ((~v121(constB181, bitIndex0)) | v26(constB181) | v124(constB181, bitIndex0))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22967,plain,
% 50.73/33.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB181) | v124(constB181, bitIndex0) | (~v121(constB181, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB181, bitIndex0)) | v26(constB181) | v124(constB181, bitIndex0)))),
% 50.73/33.21 inference(monotonicity,[status(thm)],[22966])).
% 50.73/33.21 tff(22968,plain,
% 50.73/33.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB181) | v124(constB181, bitIndex0) | (~v121(constB181, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB181, bitIndex0)) | v26(constB181) | v124(constB181, bitIndex0))),
% 50.73/33.21 inference(transitivity,[status(thm)],[22967, 22965])).
% 50.73/33.21 tff(22969,plain,
% 50.73/33.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB181) | v124(constB181, bitIndex0) | (~v121(constB181, bitIndex0)))),
% 50.73/33.21 inference(quant_inst,[status(thm)],[])).
% 50.73/33.21 tff(22970,plain,
% 50.73/33.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB181, bitIndex0)) | v26(constB181) | v124(constB181, bitIndex0)),
% 50.73/33.21 inference(modus_ponens,[status(thm)],[22969, 22968])).
% 50.73/33.21 tff(22971,plain,
% 50.73/33.21 ((~v121(constB181, bitIndex0)) | v26(constB181)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22970, 607, 22964])).
% 50.73/33.21 tff(22972,plain,
% 50.73/33.21 (~v121(constB181, bitIndex0)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22971, 22916])).
% 50.73/33.21 tff(22973,plain,
% 50.73/33.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex0) | (~v123(constB182, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex0) | (~v123(constB182, bitIndex0)))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22974,plain,
% 50.73/33.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex0) | (~v123(constB182, bitIndex0)))),
% 50.73/33.21 inference(quant_inst,[status(thm)],[])).
% 50.73/33.21 tff(22975,plain,
% 50.73/33.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex0) | (~v123(constB182, bitIndex0))),
% 50.73/33.21 inference(modus_ponens,[status(thm)],[22974, 22973])).
% 50.73/33.21 tff(22976,plain,
% 50.73/33.21 (v121(constB181, bitIndex0) | (~v123(constB182, bitIndex0))),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22975, 637, 22877])).
% 50.73/33.21 tff(22977,plain,
% 50.73/33.21 (~v123(constB182, bitIndex0)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22976, 22972])).
% 50.73/33.21 tff(22978,plain,
% 50.73/33.21 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0) | (~v94(constB182)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0) | (~v94(constB182)))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22979,plain,
% 50.73/33.21 (((~v84(constB182, bitIndex0)) | (~v94(constB182)) | v123(constB182, bitIndex0)) <=> ((~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0) | (~v94(constB182)))),
% 50.73/33.21 inference(rewrite,[status(thm)],[])).
% 50.73/33.21 tff(22980,plain,
% 50.73/33.21 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | (~v94(constB182)) | v123(constB182, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0) | (~v94(constB182))))),
% 50.73/33.21 inference(monotonicity,[status(thm)],[22979])).
% 50.73/33.21 tff(22981,plain,
% 50.73/33.21 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | (~v94(constB182)) | v123(constB182, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0) | (~v94(constB182)))),
% 50.73/33.21 inference(transitivity,[status(thm)],[22980, 22978])).
% 50.73/33.21 tff(22982,plain,
% 50.73/33.21 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | (~v94(constB182)) | v123(constB182, bitIndex0))),
% 50.73/33.21 inference(quant_inst,[status(thm)],[])).
% 50.73/33.21 tff(22983,plain,
% 50.73/33.21 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0) | (~v94(constB182))),
% 50.73/33.21 inference(modus_ponens,[status(thm)],[22982, 22981])).
% 50.73/33.21 tff(22984,plain,
% 50.73/33.21 ((~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22983, 652, 22928])).
% 50.73/33.21 tff(22985,plain,
% 50.73/33.21 (~v84(constB182, bitIndex0)),
% 50.73/33.21 inference(unit_resolution,[status(thm)],[22984, 22977])).
% 50.73/33.21 tff(22986,plain,
% 50.73/33.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex0)))),
% 50.73/33.22 inference(rewrite,[status(thm)],[])).
% 50.73/33.22 tff(22987,plain,
% 50.73/33.22 (((~nextState(constB182, constB183)) | v84(constB182, bitIndex0) | v94(constB183) | (~v84(constB183, bitIndex0))) <=> (v84(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex0)))),
% 50.73/33.22 inference(rewrite,[status(thm)],[])).
% 50.73/33.22 tff(22988,plain,
% 50.73/33.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex0) | v94(constB183) | (~v84(constB183, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex0))))),
% 50.73/33.22 inference(monotonicity,[status(thm)],[22987])).
% 50.73/33.22 tff(22989,plain,
% 50.73/33.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex0) | v94(constB183) | (~v84(constB183, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex0)))),
% 50.73/33.22 inference(transitivity,[status(thm)],[22988, 22986])).
% 50.73/33.22 tff(22990,plain,
% 50.73/33.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex0) | v94(constB183) | (~v84(constB183, bitIndex0)))),
% 50.73/33.22 inference(quant_inst,[status(thm)],[])).
% 50.73/33.22 tff(22991,plain,
% 50.73/33.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex0))),
% 50.73/33.22 inference(modus_ponens,[status(thm)],[22990, 22989])).
% 50.73/33.22 tff(22992,plain,
% 50.73/33.22 (v84(constB182, bitIndex0) | v94(constB183) | (~v84(constB183, bitIndex0))),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[22991, 184, 22942])).
% 50.73/33.22 tff(22993,plain,
% 50.73/33.22 (v84(constB182, bitIndex0) | (~v84(constB183, bitIndex0))),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[22992, 22954])).
% 50.73/33.22 tff(22994,plain,
% 50.73/33.22 (~v84(constB183, bitIndex0)),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[22993, 22985])).
% 50.73/33.22 tff(22995,assumption,(~v124(constB181, bitIndex1)), introduced(assumption)).
% 50.73/33.22 tff(22996,plain,
% 50.73/33.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))),
% 50.73/33.22 inference(rewrite,[status(thm)],[])).
% 50.73/33.22 tff(22997,plain,
% 50.73/33.22 ((v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1))) <=> ((~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))),
% 50.73/33.22 inference(rewrite,[status(thm)],[])).
% 50.73/33.22 tff(22998,plain,
% 50.73/33.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1)))),
% 50.73/33.22 inference(monotonicity,[status(thm)],[22997])).
% 50.73/33.22 tff(22999,plain,
% 50.73/33.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))),
% 50.73/33.22 inference(transitivity,[status(thm)],[22998, 22996])).
% 50.73/33.22 tff(23000,plain,
% 50.73/33.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))),
% 50.73/33.22 inference(quant_inst,[status(thm)],[])).
% 50.73/33.22 tff(23001,plain,
% 50.73/33.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1)),
% 50.73/33.22 inference(modus_ponens,[status(thm)],[23000, 22999])).
% 50.73/33.22 tff(23002,plain,
% 50.73/33.22 ((~v121(constB181, bitIndex1)) | v26(constB181)),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[23001, 233, 22995])).
% 50.73/33.22 tff(23003,plain,
% 50.73/33.22 (~v121(constB181, bitIndex1)),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[23002, 22916])).
% 50.73/33.22 tff(23004,plain,
% 50.73/33.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 50.73/33.22 inference(rewrite,[status(thm)],[])).
% 50.73/33.22 tff(23005,plain,
% 50.73/33.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 50.73/33.22 inference(quant_inst,[status(thm)],[])).
% 50.73/33.22 tff(23006,plain,
% 50.73/33.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1))),
% 50.73/33.22 inference(modus_ponens,[status(thm)],[23005, 23004])).
% 50.73/33.22 tff(23007,plain,
% 50.73/33.22 (v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1))),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[23006, 254, 22877])).
% 50.73/33.22 tff(23008,plain,
% 50.73/33.22 (~v123(constB182, bitIndex1)),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[23007, 23003])).
% 50.73/33.22 tff(23009,plain,
% 50.73/33.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))),
% 50.73/33.22 inference(rewrite,[status(thm)],[])).
% 50.73/33.22 tff(23010,plain,
% 50.73/33.22 (((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1)) <=> ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))),
% 50.73/33.22 inference(rewrite,[status(thm)],[])).
% 50.73/33.22 tff(23011,plain,
% 50.73/33.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182))))),
% 50.73/33.22 inference(monotonicity,[status(thm)],[23010])).
% 50.73/33.22 tff(23012,plain,
% 50.73/33.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))),
% 50.73/33.22 inference(transitivity,[status(thm)],[23011, 23009])).
% 50.73/33.22 tff(23013,plain,
% 50.73/33.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1))),
% 50.73/33.22 inference(quant_inst,[status(thm)],[])).
% 50.73/33.22 tff(23014,plain,
% 50.73/33.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182))),
% 50.73/33.22 inference(modus_ponens,[status(thm)],[23013, 23012])).
% 50.73/33.22 tff(23015,plain,
% 50.73/33.22 ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1)),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[23014, 532, 22928])).
% 50.73/33.22 tff(23016,plain,
% 50.73/33.22 (~v84(constB182, bitIndex1)),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[23015, 23008])).
% 50.73/33.22 tff(23017,plain,
% 50.73/33.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 50.73/33.22 inference(rewrite,[status(thm)],[])).
% 50.73/33.22 tff(23018,plain,
% 50.73/33.22 (((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1))) <=> (v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 50.73/33.22 inference(rewrite,[status(thm)],[])).
% 50.73/33.22 tff(23019,plain,
% 50.73/33.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1))))),
% 50.73/33.22 inference(monotonicity,[status(thm)],[23018])).
% 50.73/33.22 tff(23020,plain,
% 50.73/33.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 50.73/33.22 inference(transitivity,[status(thm)],[23019, 23017])).
% 50.73/33.22 tff(23021,plain,
% 50.73/33.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 50.73/33.22 inference(quant_inst,[status(thm)],[])).
% 50.73/33.22 tff(23022,plain,
% 50.73/33.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1))),
% 50.73/33.22 inference(modus_ponens,[status(thm)],[23021, 23020])).
% 50.73/33.22 tff(23023,plain,
% 50.73/33.22 (v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1))),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[23022, 163, 22942])).
% 50.73/33.22 tff(23024,plain,
% 50.73/33.22 (v84(constB182, bitIndex1) | (~v84(constB183, bitIndex1))),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[23023, 22954])).
% 50.73/33.22 tff(23025,plain,
% 50.73/33.22 (~v84(constB183, bitIndex1)),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[23024, 23016])).
% 50.73/33.22 tff(23026,assumption,(~v172(constB183)), introduced(assumption)).
% 50.73/33.22 tff(23027,plain,
% 50.73/33.22 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v172(constB183))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v172(constB183))),
% 50.73/33.22 inference(rewrite,[status(thm)],[])).
% 50.73/33.22 tff(23028,plain,
% 50.73/33.22 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v172(constB183))),
% 50.73/33.22 inference(quant_inst,[status(thm)],[])).
% 50.73/33.22 tff(23029,plain,
% 50.73/33.22 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v172(constB183)),
% 50.73/33.22 inference(modus_ponens,[status(thm)],[23028, 23027])).
% 50.73/33.22 tff(23030,plain,
% 50.73/33.22 (v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2))),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[23029, 679, 23026])).
% 50.73/33.22 tff(23031,plain,
% 50.73/33.22 ($false),
% 50.73/33.22 inference(unit_resolution,[status(thm)],[23030, 23025, 22994, 22963])).
% 50.73/33.22 tff(23032,plain,(v26(constB181) | v172(constB183) | (~v94(constB182)) | (~v124(constB181, bitIndex2)) | v124(constB181, bitIndex1) | v124(constB181, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.23 tff(23033,plain,
% 50.73/33.23 (v172(constB183) | (~v94(constB182)) | (~v124(constB181, bitIndex2)) | v124(constB181, bitIndex1) | v124(constB181, bitIndex0)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23032, 22915])).
% 50.73/33.23 tff(23034,plain,
% 50.73/33.23 (v172(constB183)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23033, 22911, 22820, 22816, 22812])).
% 50.73/33.23 tff(23035,plain,
% 50.73/33.23 ($false),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23034, 20815])).
% 50.73/33.23 tff(23036,plain,(~(constB183 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.23 tff(23037,assumption,(constB63 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.23 tff(23038,plain,
% 50.73/33.23 (v172(constB63) <=> v172(sK0_VarCurr)),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23037])).
% 50.73/33.23 tff(23039,plain,
% 50.73/33.23 (v172(sK0_VarCurr) <=> v172(constB63)),
% 50.73/33.23 inference(symmetry,[status(thm)],[23038])).
% 50.73/33.23 tff(23040,plain,
% 50.73/33.23 ((~v172(sK0_VarCurr)) <=> (~v172(constB63))),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23039])).
% 50.73/33.23 tff(23041,plain,
% 50.73/33.23 (~v172(constB63)),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[46, 23040])).
% 50.73/33.23 tff(23042,plain,
% 50.73/33.23 ($false),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[8503, 23041])).
% 50.73/33.23 tff(23043,plain,(~(constB63 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.23 tff(23044,assumption,(constB33 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.23 tff(23045,plain,
% 50.73/33.23 (v172(constB33) <=> v172(sK0_VarCurr)),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23044])).
% 50.73/33.23 tff(23046,plain,
% 50.73/33.23 (v172(sK0_VarCurr) <=> v172(constB33)),
% 50.73/33.23 inference(symmetry,[status(thm)],[23045])).
% 50.73/33.23 tff(23047,plain,
% 50.73/33.23 ((~v172(sK0_VarCurr)) <=> (~v172(constB33))),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23046])).
% 50.73/33.23 tff(23048,plain,
% 50.73/33.23 (~v172(constB33)),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[46, 23047])).
% 50.73/33.23 tff(23049,plain,
% 50.73/33.23 ($false),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[5469, 23048])).
% 50.73/33.23 tff(23050,plain,(~(constB33 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.23 tff(23051,assumption,(constB173 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.23 tff(23052,plain,
% 50.73/33.23 (v172(constB173) <=> v172(sK0_VarCurr)),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23051])).
% 50.73/33.23 tff(23053,plain,
% 50.73/33.23 (v172(sK0_VarCurr) <=> v172(constB173)),
% 50.73/33.23 inference(symmetry,[status(thm)],[23052])).
% 50.73/33.23 tff(23054,plain,
% 50.73/33.23 ((~v172(sK0_VarCurr)) <=> (~v172(constB173))),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23053])).
% 50.73/33.23 tff(23055,plain,
% 50.73/33.23 (~v172(constB173)),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[46, 23054])).
% 50.73/33.23 tff(23056,plain,
% 50.73/33.23 ($false),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[21817, 23055])).
% 50.73/33.23 tff(23057,plain,(~(constB173 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.23 tff(23058,assumption,(constB43 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.23 tff(23059,plain,
% 50.73/33.23 (v172(constB43) <=> v172(sK0_VarCurr)),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23058])).
% 50.73/33.23 tff(23060,plain,
% 50.73/33.23 (v172(sK0_VarCurr) <=> v172(constB43)),
% 50.73/33.23 inference(symmetry,[status(thm)],[23059])).
% 50.73/33.23 tff(23061,plain,
% 50.73/33.23 ((~v172(sK0_VarCurr)) <=> (~v172(constB43))),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23060])).
% 50.73/33.23 tff(23062,plain,
% 50.73/33.23 (~v172(constB43)),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[46, 23061])).
% 50.73/33.23 tff(23063,plain,
% 50.73/33.23 ($false),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[6484, 23062])).
% 50.73/33.23 tff(23064,plain,(~(constB43 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.23 tff(23065,assumption,(constB123 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.23 tff(23066,plain,
% 50.73/33.23 (v172(constB123) <=> v172(sK0_VarCurr)),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23065])).
% 50.73/33.23 tff(23067,plain,
% 50.73/33.23 (v172(sK0_VarCurr) <=> v172(constB123)),
% 50.73/33.23 inference(symmetry,[status(thm)],[23066])).
% 50.73/33.23 tff(23068,plain,
% 50.73/33.23 ((~v172(sK0_VarCurr)) <=> (~v172(constB123))),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23067])).
% 50.73/33.23 tff(23069,plain,
% 50.73/33.23 (~v172(constB123)),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[46, 23068])).
% 50.73/33.23 tff(23070,plain,
% 50.73/33.23 ($false),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[15890, 23069])).
% 50.73/33.23 tff(23071,plain,(~(constB123 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.23 tff(23072,assumption,(constB73 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.23 tff(23073,plain,
% 50.73/33.23 (v172(constB73) <=> v172(sK0_VarCurr)),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23072])).
% 50.73/33.23 tff(23074,plain,
% 50.73/33.23 (v172(sK0_VarCurr) <=> v172(constB73)),
% 50.73/33.23 inference(symmetry,[status(thm)],[23073])).
% 50.73/33.23 tff(23075,plain,
% 50.73/33.23 ((~v172(sK0_VarCurr)) <=> (~v172(constB73))),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23074])).
% 50.73/33.23 tff(23076,plain,
% 50.73/33.23 (~v172(constB73)),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[46, 23075])).
% 50.73/33.23 tff(23077,plain,
% 50.73/33.23 ($false),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[9532, 23076])).
% 50.73/33.23 tff(23078,plain,(~(constB73 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.23 tff(23079,assumption,(constB13 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.23 tff(23080,plain,
% 50.73/33.23 (v172(constB13) <=> v172(sK0_VarCurr)),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23079])).
% 50.73/33.23 tff(23081,plain,
% 50.73/33.23 (v172(sK0_VarCurr) <=> v172(constB13)),
% 50.73/33.23 inference(symmetry,[status(thm)],[23080])).
% 50.73/33.23 tff(23082,plain,
% 50.73/33.23 ((~v172(sK0_VarCurr)) <=> (~v172(constB13))),
% 50.73/33.23 inference(monotonicity,[status(thm)],[23081])).
% 50.73/33.23 tff(23083,plain,
% 50.73/33.23 (~v172(constB13)),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[46, 23082])).
% 50.73/33.23 tff(23084,plain,
% 50.73/33.23 ($false),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[2058, 23083])).
% 50.73/33.23 tff(23085,plain,(~(constB13 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.23 tff(23086,assumption,(v18(constB150)), introduced(assumption)).
% 50.73/33.23 tff(23087,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB150))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23088,plain,
% 50.73/33.23 ($false),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23087, 13324, 23086])).
% 50.73/33.23 tff(23089,plain,(~v18(constB150)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.23 tff(23090,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB150) | (~v1(constB150)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB150) | (~v1(constB150)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23091,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB150) | (~v1(constB150)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23092,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB150) | (~v1(constB150))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23091, 23090])).
% 50.73/33.23 tff(23093,plain,
% 50.73/33.23 (v22(constB150)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23092, 13337, 19273])).
% 50.73/33.23 tff(23094,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB150) | (~v22(constB150)) | (~v19(constB150)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB150) | (~v22(constB150)) | (~v19(constB150)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23095,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB150) | (~v22(constB150)) | (~v19(constB150)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23096,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB150) | (~v22(constB150)) | (~v19(constB150))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23095, 23094])).
% 50.73/33.23 tff(23097,plain,
% 50.73/33.23 (v18(constB150) | (~v19(constB150))),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23096, 13351, 23093])).
% 50.73/33.23 tff(23098,plain,
% 50.73/33.23 (~v19(constB150)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23097, 23089])).
% 50.73/33.23 tff(23099,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB150) | v19(constB150))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB150) | v19(constB150))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23100,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB150) | v19(constB150))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23101,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB150) | v19(constB150)),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23100, 23099])).
% 50.73/33.23 tff(23102,plain,
% 50.73/33.23 (v13(constB150)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23101, 13363, 23098])).
% 50.73/33.23 tff(23103,plain,
% 50.73/33.23 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB149) | (~v13(constB150)) | (~nextState(constB149, constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB149) | (~v13(constB150)) | (~nextState(constB149, constB150)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23104,plain,
% 50.73/33.23 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB149) | (~v13(constB150)) | (~nextState(constB149, constB150)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23105,plain,
% 50.73/33.23 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB149) | (~v13(constB150)) | (~nextState(constB149, constB150))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23104, 23103])).
% 50.73/33.23 tff(23106,plain,
% 50.73/33.23 (v9(constB149) | (~v13(constB150))),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23105, 13377, 19253])).
% 50.73/33.23 tff(23107,plain,
% 50.73/33.23 (v9(constB149)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23106, 23102])).
% 50.73/33.23 tff(23108,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB149) | (~v9(constB149)) | v141(constB149))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB149) | (~v9(constB149)) | v141(constB149))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23109,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB149) | (~v9(constB149)) | v141(constB149))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23110,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB149) | (~v9(constB149)) | v141(constB149)),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23109, 23108])).
% 50.73/33.23 tff(23111,plain,
% 50.73/33.23 ((~v9(constB149)) | v141(constB149)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23110, 13392, 19112])).
% 50.73/33.23 tff(23112,plain,
% 50.73/33.23 (v141(constB149)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23111, 23107])).
% 50.73/33.23 tff(23113,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB149)) | v140(constB149))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB149)) | v140(constB149))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23114,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB149)) | v140(constB149))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23115,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB149)) | v140(constB149)),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23114, 23113])).
% 50.73/33.23 tff(23116,plain,
% 50.73/33.23 (v140(constB149)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23115, 13404, 23112])).
% 50.73/33.23 tff(23117,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB149)) | (~v140(constB149)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB149)) | (~v140(constB149)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23118,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB149)) | (~v140(constB149)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23119,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB149)) | (~v140(constB149))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23118, 23117])).
% 50.73/33.23 tff(23120,plain,
% 50.73/33.23 (~v138(constB149)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23119, 13495, 23116])).
% 50.73/33.23 tff(23121,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB149)) | (~v84(constB149, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB149)) | (~v84(constB149, bitIndex1)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23122,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB149)) | (~v84(constB149, bitIndex1)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23123,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB149)) | (~v84(constB149, bitIndex1))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23122, 23121])).
% 50.73/33.23 tff(23124,plain,
% 50.73/33.23 (~v145(constB149)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23123, 1091, 19167])).
% 50.73/33.23 tff(23125,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB149) | (~v144(constB149)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB149) | (~v144(constB149)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23126,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB149) | (~v144(constB149)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23127,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB149) | (~v144(constB149))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23126, 23125])).
% 50.73/33.23 tff(23128,plain,
% 50.73/33.23 (~v144(constB149)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23127, 13439, 23124])).
% 50.73/33.23 tff(23129,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB149) | (~v142(constB149)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB149) | (~v142(constB149)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23130,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB149) | (~v142(constB149)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23131,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB149) | (~v142(constB149))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23130, 23129])).
% 50.73/33.23 tff(23132,plain,
% 50.73/33.23 (~v142(constB149)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23131, 13453, 23128])).
% 50.73/33.23 tff(23133,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB149) | v142(constB149) | (~v135(constB149)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB149) | v142(constB149) | (~v135(constB149)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23134,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB149) | v142(constB149) | (~v135(constB149)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23135,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB149) | v142(constB149) | (~v135(constB149))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23134, 23133])).
% 50.73/33.23 tff(23136,plain,
% 50.73/33.23 (v138(constB149) | (~v135(constB149))),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23135, 13509, 23132])).
% 50.73/33.23 tff(23137,plain,
% 50.73/33.23 (~v135(constB149)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23136, 23120])).
% 50.73/33.23 tff(23138,plain,
% 50.73/33.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB149, constB150)) | v135(constB149) | (~v137(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB149, constB150)) | v135(constB149) | (~v137(constB150)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23139,plain,
% 50.73/33.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB149, constB150)) | v135(constB149) | (~v137(constB150)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23140,plain,
% 50.73/33.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB149, constB150)) | v135(constB149) | (~v137(constB150))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23139, 23138])).
% 50.73/33.23 tff(23141,plain,
% 50.73/33.23 (v135(constB149) | (~v137(constB150))),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23140, 13524, 19253])).
% 50.73/33.23 tff(23142,plain,
% 50.73/33.23 (~v137(constB150)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23141, 23137])).
% 50.73/33.23 tff(23143,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB150) | (~v138(constB150)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB150) | (~v138(constB150)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23144,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB150) | (~v138(constB150)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23145,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB150) | (~v138(constB150))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23144, 23143])).
% 50.73/33.23 tff(23146,plain,
% 50.73/33.23 (~v138(constB150)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23145, 13539, 23142])).
% 50.73/33.23 tff(23147,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB150)) | (~v141(constB150)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB150)) | (~v141(constB150)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23148,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB150)) | (~v141(constB150)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23149,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB150)) | (~v141(constB150))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23148, 23147])).
% 50.73/33.23 tff(23150,plain,
% 50.73/33.23 (~v141(constB150)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23149, 13553, 19273])).
% 50.73/33.23 tff(23151,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB150) | (~v144(constB150)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB150) | (~v144(constB150)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23152,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB150) | (~v144(constB150)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23153,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB150) | (~v144(constB150))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23152, 23151])).
% 50.73/33.23 tff(23154,plain,
% 50.73/33.23 (~v144(constB150)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23153, 13567, 23150])).
% 50.73/33.23 tff(23155,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB150) | (~v142(constB150)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB150) | (~v142(constB150)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23156,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB150) | (~v142(constB150)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23157,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB150) | (~v142(constB150))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23156, 23155])).
% 50.73/33.23 tff(23158,plain,
% 50.73/33.23 (~v142(constB150)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23157, 13453, 23154])).
% 50.73/33.23 tff(23159,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB150) | v142(constB150) | (~v135(constB150)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB150) | v142(constB150) | (~v135(constB150)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23160,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB150) | v142(constB150) | (~v135(constB150)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23161,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB150) | v142(constB150) | (~v135(constB150))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23160, 23159])).
% 50.73/33.23 tff(23162,plain,
% 50.73/33.23 (v138(constB150) | (~v135(constB150))),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23161, 13509, 23158])).
% 50.73/33.23 tff(23163,plain,
% 50.73/33.23 (~v135(constB150)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23162, 23146])).
% 50.73/33.23 tff(23164,plain,
% 50.73/33.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB150, constB151)) | v135(constB150) | (~v137(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB150, constB151)) | v135(constB150) | (~v137(constB151)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23165,plain,
% 50.73/33.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB150, constB151)) | v135(constB150) | (~v137(constB151)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23166,plain,
% 50.73/33.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB150, constB151)) | v135(constB150) | (~v137(constB151))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23165, 23164])).
% 50.73/33.23 tff(23167,plain,
% 50.73/33.23 (v135(constB150) | (~v137(constB151))),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23166, 13524, 19315])).
% 50.73/33.23 tff(23168,plain,
% 50.73/33.23 (~v137(constB151)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23167, 23163])).
% 50.73/33.23 tff(23169,plain,
% 50.73/33.23 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB151) | (~v154(constB151)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB151) | (~v154(constB151)))),
% 50.73/33.23 inference(rewrite,[status(thm)],[])).
% 50.73/33.23 tff(23170,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB151) | (~v154(constB151)))),
% 50.73/33.23 inference(quant_inst,[status(thm)],[])).
% 50.73/33.23 tff(23171,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB151) | (~v154(constB151))),
% 50.73/33.23 inference(modus_ponens,[status(thm)],[23170, 23169])).
% 50.73/33.23 tff(23172,plain,
% 50.73/33.23 (~v154(constB151)),
% 50.73/33.23 inference(unit_resolution,[status(thm)],[23171, 13595, 23168])).
% 50.73/33.23 tff(23173,assumption,(v18(constB152)), introduced(assumption)).
% 50.73/33.23 tff(23174,plain,
% 50.73/33.23 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB152))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23175,plain,
% 50.73/33.24 ($false),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23174, 13324, 23173])).
% 50.73/33.24 tff(23176,plain,(~v18(constB152)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.24 tff(23177,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23178,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23179,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23178, 23177])).
% 50.73/33.24 tff(23180,plain,
% 50.73/33.24 (v22(constB152)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23179, 13337, 19463])).
% 50.73/33.24 tff(23181,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB152) | (~v22(constB152)) | (~v19(constB152)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB152) | (~v22(constB152)) | (~v19(constB152)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23182,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB152) | (~v22(constB152)) | (~v19(constB152)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23183,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB152) | (~v22(constB152)) | (~v19(constB152))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23182, 23181])).
% 50.73/33.24 tff(23184,plain,
% 50.73/33.24 (v18(constB152) | (~v19(constB152))),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23183, 13351, 23180])).
% 50.73/33.24 tff(23185,plain,
% 50.73/33.24 (~v19(constB152)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23184, 23176])).
% 50.73/33.24 tff(23186,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23187,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23188,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152)),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23187, 23186])).
% 50.73/33.24 tff(23189,plain,
% 50.73/33.24 (v13(constB152)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23188, 13363, 23185])).
% 50.73/33.24 tff(23190,plain,
% 50.73/33.24 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23191,plain,
% 50.73/33.24 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23192,plain,
% 50.73/33.24 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23191, 23190])).
% 50.73/33.24 tff(23193,plain,
% 50.73/33.24 (v9(constB151) | (~v13(constB152))),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23192, 13377, 19443])).
% 50.73/33.24 tff(23194,plain,
% 50.73/33.24 (v9(constB151)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23193, 23189])).
% 50.73/33.24 tff(23195,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v141(constB151))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB151) | (~v9(constB151)) | v141(constB151))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23196,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v141(constB151))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23197,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB151) | (~v9(constB151)) | v141(constB151)),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23196, 23195])).
% 50.73/33.24 tff(23198,plain,
% 50.73/33.24 ((~v9(constB151)) | v141(constB151)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23197, 13392, 19312])).
% 50.73/33.24 tff(23199,plain,
% 50.73/33.24 (v141(constB151)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23198, 23194])).
% 50.73/33.24 tff(23200,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB151)) | v140(constB151))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB151)) | v140(constB151))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23201,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB151)) | v140(constB151))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23202,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB151)) | v140(constB151)),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23201, 23200])).
% 50.73/33.24 tff(23203,plain,
% 50.73/33.24 (v140(constB151)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23202, 13404, 23199])).
% 50.73/33.24 tff(23204,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB151)) | (~v153(constB151)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB151)) | (~v153(constB151)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23205,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB151)) | (~v153(constB151)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23206,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB151)) | (~v153(constB151))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23205, 23204])).
% 50.73/33.24 tff(23207,plain,
% 50.73/33.24 (~v153(constB151)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23206, 13640, 23203])).
% 50.73/33.24 tff(23208,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB151) | v154(constB151) | (~v150(constB151)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB151) | v154(constB151) | (~v150(constB151)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23209,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB151) | v154(constB151) | (~v150(constB151)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23210,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB151) | v154(constB151) | (~v150(constB151))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23209, 23208])).
% 50.73/33.24 tff(23211,plain,
% 50.73/33.24 (v154(constB151) | (~v150(constB151))),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23210, 13654, 23207])).
% 50.73/33.24 tff(23212,plain,
% 50.73/33.24 (~v150(constB151)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23211, 23172])).
% 50.73/33.24 tff(23213,plain,
% 50.73/33.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB151, constB152)) | v150(constB151) | (~v152(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB151, constB152)) | v150(constB151) | (~v152(constB152)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23214,plain,
% 50.73/33.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB151, constB152)) | v150(constB151) | (~v152(constB152)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23215,plain,
% 50.73/33.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB151, constB152)) | v150(constB151) | (~v152(constB152))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23214, 23213])).
% 50.73/33.24 tff(23216,plain,
% 50.73/33.24 (v150(constB151) | (~v152(constB152))),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23215, 13669, 19443])).
% 50.73/33.24 tff(23217,plain,
% 50.73/33.24 (~v152(constB152)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23216, 23212])).
% 50.73/33.24 tff(23218,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB152) | (~v153(constB152)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB152) | (~v153(constB152)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23219,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB152) | (~v153(constB152)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23220,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB152) | (~v153(constB152))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23219, 23218])).
% 50.73/33.24 tff(23221,plain,
% 50.73/33.24 (~v153(constB152)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23220, 13684, 23217])).
% 50.73/33.24 tff(23222,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB152)) | (~v141(constB152)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB152)) | (~v141(constB152)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23223,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB152)) | (~v141(constB152)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23224,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB152)) | (~v141(constB152))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23223, 23222])).
% 50.73/33.24 tff(23225,plain,
% 50.73/33.24 (~v141(constB152)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23224, 13553, 19463])).
% 50.73/33.24 tff(23226,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB152) | (~v155(constB152)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB152) | (~v155(constB152)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23227,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB152) | (~v155(constB152)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23228,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB152) | (~v155(constB152))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23227, 23226])).
% 50.73/33.24 tff(23229,plain,
% 50.73/33.24 (~v155(constB152)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23228, 13702, 23225])).
% 50.73/33.24 tff(23230,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB152) | (~v154(constB152)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB152) | (~v154(constB152)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23231,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB152) | (~v154(constB152)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23232,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB152) | (~v154(constB152))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23231, 23230])).
% 50.73/33.24 tff(23233,plain,
% 50.73/33.24 (~v154(constB152)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23232, 13716, 23229])).
% 50.73/33.24 tff(23234,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB152) | v154(constB152) | (~v150(constB152)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB152) | v154(constB152) | (~v150(constB152)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23235,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB152) | v154(constB152) | (~v150(constB152)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23236,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB152) | v154(constB152) | (~v150(constB152))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23235, 23234])).
% 50.73/33.24 tff(23237,plain,
% 50.73/33.24 (v153(constB152) | (~v150(constB152))),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23236, 13654, 23233])).
% 50.73/33.24 tff(23238,plain,
% 50.73/33.24 (~v150(constB152)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23237, 23221])).
% 50.73/33.24 tff(23239,plain,
% 50.73/33.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB152, constB153)) | v150(constB152) | (~v152(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB152, constB153)) | v150(constB152) | (~v152(constB153)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23240,plain,
% 50.73/33.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB152, constB153)) | v150(constB152) | (~v152(constB153)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23241,plain,
% 50.73/33.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB152, constB153)) | v150(constB152) | (~v152(constB153))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23240, 23239])).
% 50.73/33.24 tff(23242,plain,
% 50.73/33.24 (v150(constB152) | (~v152(constB153))),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23241, 13669, 19505])).
% 50.73/33.24 tff(23243,plain,
% 50.73/33.24 (~v152(constB153)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23242, 23238])).
% 50.73/33.24 tff(23244,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB153) | (~v164(constB153)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB153) | (~v164(constB153)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23245,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB153) | (~v164(constB153)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23246,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB153) | (~v164(constB153))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23245, 23244])).
% 50.73/33.24 tff(23247,plain,
% 50.73/33.24 (~v164(constB153)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23246, 13740, 23243])).
% 50.73/33.24 tff(23248,assumption,(v18(constB154)), introduced(assumption)).
% 50.73/33.24 tff(23249,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB154))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23250,plain,
% 50.73/33.24 ($false),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23249, 13324, 23248])).
% 50.73/33.24 tff(23251,plain,(~v18(constB154)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.24 tff(23252,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23253,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23254,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23253, 23252])).
% 50.73/33.24 tff(23255,plain,
% 50.73/33.24 (v22(constB154)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23254, 13337, 19652])).
% 50.73/33.24 tff(23256,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB154) | (~v22(constB154)) | (~v19(constB154)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB154) | (~v22(constB154)) | (~v19(constB154)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23257,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB154) | (~v22(constB154)) | (~v19(constB154)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23258,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB154) | (~v22(constB154)) | (~v19(constB154))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23257, 23256])).
% 50.73/33.24 tff(23259,plain,
% 50.73/33.24 (v18(constB154) | (~v19(constB154))),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23258, 13351, 23255])).
% 50.73/33.24 tff(23260,plain,
% 50.73/33.24 (~v19(constB154)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23259, 23251])).
% 50.73/33.24 tff(23261,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23262,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23263,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154)),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23262, 23261])).
% 50.73/33.24 tff(23264,plain,
% 50.73/33.24 (v13(constB154)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23263, 13363, 23260])).
% 50.73/33.24 tff(23265,plain,
% 50.73/33.24 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23266,plain,
% 50.73/33.24 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23267,plain,
% 50.73/33.24 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154))),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23266, 23265])).
% 50.73/33.24 tff(23268,plain,
% 50.73/33.24 (v9(constB153) | (~v13(constB154))),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23267, 13377, 19632])).
% 50.73/33.24 tff(23269,plain,
% 50.73/33.24 (v9(constB153)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23268, 23264])).
% 50.73/33.24 tff(23270,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v141(constB153))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB153) | (~v9(constB153)) | v141(constB153))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23271,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v141(constB153))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23272,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB153) | (~v9(constB153)) | v141(constB153)),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23271, 23270])).
% 50.73/33.24 tff(23273,plain,
% 50.73/33.24 ((~v9(constB153)) | v141(constB153)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23272, 13392, 19502])).
% 50.73/33.24 tff(23274,plain,
% 50.73/33.24 (v141(constB153)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23273, 23269])).
% 50.73/33.24 tff(23275,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB153)) | v140(constB153))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB153)) | v140(constB153))),
% 50.73/33.24 inference(rewrite,[status(thm)],[])).
% 50.73/33.24 tff(23276,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB153)) | v140(constB153))),
% 50.73/33.24 inference(quant_inst,[status(thm)],[])).
% 50.73/33.24 tff(23277,plain,
% 50.73/33.24 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB153)) | v140(constB153)),
% 50.73/33.24 inference(modus_ponens,[status(thm)],[23276, 23275])).
% 50.73/33.24 tff(23278,plain,
% 50.73/33.24 (v140(constB153)),
% 50.73/33.24 inference(unit_resolution,[status(thm)],[23277, 13404, 23274])).
% 50.73/33.24 tff(23279,plain,
% 50.73/33.24 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB153)) | (~v163(constB153)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB153)) | (~v163(constB153)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23280,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB153)) | (~v163(constB153)))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23281,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB153)) | (~v163(constB153))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23280, 23279])).
% 50.73/33.25 tff(23282,plain,
% 50.73/33.25 (~v163(constB153)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23281, 13421, 23278])).
% 50.73/33.25 tff(23283,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB153) | v164(constB153) | (~v160(constB153)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB153) | v164(constB153) | (~v160(constB153)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23284,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB153) | v164(constB153) | (~v160(constB153)))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23285,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB153) | v164(constB153) | (~v160(constB153))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23284, 23283])).
% 50.73/33.25 tff(23286,plain,
% 50.73/33.25 (v164(constB153) | (~v160(constB153))),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23285, 13754, 23282])).
% 50.73/33.25 tff(23287,plain,
% 50.73/33.25 (~v160(constB153)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23286, 23247])).
% 50.73/33.25 tff(23288,plain,
% 50.73/33.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB153, constB154)) | v160(constB153) | (~v162(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB153, constB154)) | v160(constB153) | (~v162(constB154)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23289,plain,
% 50.73/33.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB153, constB154)) | v160(constB153) | (~v162(constB154)))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23290,plain,
% 50.73/33.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB153, constB154)) | v160(constB153) | (~v162(constB154))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23289, 23288])).
% 50.73/33.25 tff(23291,plain,
% 50.73/33.25 (v160(constB153) | (~v162(constB154))),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23290, 13769, 19632])).
% 50.73/33.25 tff(23292,plain,
% 50.73/33.25 (~v162(constB154)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23291, 23287])).
% 50.73/33.25 tff(23293,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB154) | (~v163(constB154)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB154) | (~v163(constB154)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23294,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB154) | (~v163(constB154)))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23295,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB154) | (~v163(constB154))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23294, 23293])).
% 50.73/33.25 tff(23296,plain,
% 50.73/33.25 (~v163(constB154)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23295, 13784, 23292])).
% 50.73/33.25 tff(23297,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB154)) | (~v141(constB154)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB154)) | (~v141(constB154)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23298,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB154)) | (~v141(constB154)))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23299,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB154)) | (~v141(constB154))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23298, 23297])).
% 50.73/33.25 tff(23300,plain,
% 50.73/33.25 (~v141(constB154)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23299, 13553, 19652])).
% 50.73/33.25 tff(23301,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB154) | (~v155(constB154)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB154) | (~v155(constB154)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23302,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB154) | (~v155(constB154)))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23303,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB154) | (~v155(constB154))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23302, 23301])).
% 50.73/33.25 tff(23304,plain,
% 50.73/33.25 (~v155(constB154)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23303, 13702, 23300])).
% 50.73/33.25 tff(23305,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB154) | (~v164(constB154)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB154) | (~v164(constB154)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23306,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB154) | (~v164(constB154)))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23307,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB154) | (~v164(constB154))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23306, 23305])).
% 50.73/33.25 tff(23308,plain,
% 50.73/33.25 (~v164(constB154)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23307, 13806, 23304])).
% 50.73/33.25 tff(23309,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB154) | v164(constB154) | (~v160(constB154)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB154) | v164(constB154) | (~v160(constB154)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23310,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB154) | v164(constB154) | (~v160(constB154)))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23311,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB154) | v164(constB154) | (~v160(constB154))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23310, 23309])).
% 50.73/33.25 tff(23312,plain,
% 50.73/33.25 (v163(constB154) | (~v160(constB154))),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23311, 13754, 23308])).
% 50.73/33.25 tff(23313,plain,
% 50.73/33.25 (~v160(constB154)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23312, 23296])).
% 50.73/33.25 tff(23314,plain,
% 50.73/33.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB154, constB155)) | v160(constB154) | (~v162(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB154, constB155)) | v160(constB154) | (~v162(constB155)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23315,plain,
% 50.73/33.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB154, constB155)) | v160(constB154) | (~v162(constB155)))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23316,plain,
% 50.73/33.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB154, constB155)) | v160(constB154) | (~v162(constB155))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23315, 23314])).
% 50.73/33.25 tff(23317,plain,
% 50.73/33.25 (v160(constB154) | (~v162(constB155))),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23316, 13769, 19694])).
% 50.73/33.25 tff(23318,plain,
% 50.73/33.25 (~v162(constB155)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23317, 23313])).
% 50.73/33.25 tff(23319,assumption,(constB155 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.25 tff(23320,plain,
% 50.73/33.25 (v162(constB155) <=> v162(sK0_VarCurr)),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23319])).
% 50.73/33.25 tff(23321,plain,
% 50.73/33.25 (v162(sK0_VarCurr) <=> v162(constB155)),
% 50.73/33.25 inference(symmetry,[status(thm)],[23320])).
% 50.73/33.25 tff(23322,plain,
% 50.73/33.25 (v162(constB155)),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[13315, 23321])).
% 50.73/33.25 tff(23323,assumption,(~v162(constB155)), introduced(assumption)).
% 50.73/33.25 tff(23324,plain,
% 50.73/33.25 ($false),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23323, 23322])).
% 50.73/33.25 tff(23325,plain,((~(constB155 = sK0_VarCurr)) | v162(constB155)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.25 tff(23326,plain,
% 50.73/33.25 (~(constB155 = sK0_VarCurr)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23325, 23318])).
% 50.73/33.25 tff(23327,assumption,(constB133 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.25 tff(23328,plain,
% 50.73/33.25 (v172(constB133) <=> v172(sK0_VarCurr)),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23327])).
% 50.73/33.25 tff(23329,plain,
% 50.73/33.25 (v172(sK0_VarCurr) <=> v172(constB133)),
% 50.73/33.25 inference(symmetry,[status(thm)],[23328])).
% 50.73/33.25 tff(23330,plain,
% 50.73/33.25 ((~v172(sK0_VarCurr)) <=> (~v172(constB133))),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23329])).
% 50.73/33.25 tff(23331,plain,
% 50.73/33.25 (~v172(constB133)),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[46, 23330])).
% 50.73/33.25 tff(23332,plain,
% 50.73/33.25 ($false),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[16897, 23331])).
% 50.73/33.25 tff(23333,plain,(~(constB133 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.25 tff(23334,assumption,(constB153 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.25 tff(23335,plain,
% 50.73/33.25 (v172(constB153) <=> v172(sK0_VarCurr)),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23334])).
% 50.73/33.25 tff(23336,plain,
% 50.73/33.25 (v172(sK0_VarCurr) <=> v172(constB153)),
% 50.73/33.25 inference(symmetry,[status(thm)],[23335])).
% 50.73/33.25 tff(23337,plain,
% 50.73/33.25 ((~v172(sK0_VarCurr)) <=> (~v172(constB153))),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23336])).
% 50.73/33.25 tff(23338,plain,
% 50.73/33.25 (~v172(constB153)),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[46, 23337])).
% 50.73/33.25 tff(23339,plain,
% 50.73/33.25 ($false),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[19598, 23338])).
% 50.73/33.25 tff(23340,plain,(~(constB153 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.25 tff(23341,assumption,(constB93 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.25 tff(23342,plain,
% 50.73/33.25 (v172(constB93) <=> v172(sK0_VarCurr)),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23341])).
% 50.73/33.25 tff(23343,plain,
% 50.73/33.25 (v172(sK0_VarCurr) <=> v172(constB93)),
% 50.73/33.25 inference(symmetry,[status(thm)],[23342])).
% 50.73/33.25 tff(23344,plain,
% 50.73/33.25 ((~v172(sK0_VarCurr)) <=> (~v172(constB93))),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23343])).
% 50.73/33.25 tff(23345,plain,
% 50.73/33.25 (~v172(constB93)),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[46, 23344])).
% 50.73/33.25 tff(23346,plain,
% 50.73/33.25 ($false),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[11968, 23345])).
% 50.73/33.25 tff(23347,plain,(~(constB93 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.25 tff(23348,assumption,(constB83 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.25 tff(23349,plain,
% 50.73/33.25 (v172(constB83) <=> v172(sK0_VarCurr)),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23348])).
% 50.73/33.25 tff(23350,plain,
% 50.73/33.25 (v172(sK0_VarCurr) <=> v172(constB83)),
% 50.73/33.25 inference(symmetry,[status(thm)],[23349])).
% 50.73/33.25 tff(23351,plain,
% 50.73/33.25 ((~v172(sK0_VarCurr)) <=> (~v172(constB83))),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23350])).
% 50.73/33.25 tff(23352,plain,
% 50.73/33.25 (~v172(constB83)),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[46, 23351])).
% 50.73/33.25 tff(23353,plain,
% 50.73/33.25 ($false),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[10945, 23352])).
% 50.73/33.25 tff(23354,plain,(~(constB83 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.25 tff(23355,assumption,(constB23 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.25 tff(23356,plain,
% 50.73/33.25 (v172(constB23) <=> v172(sK0_VarCurr)),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23355])).
% 50.73/33.25 tff(23357,plain,
% 50.73/33.25 (v172(sK0_VarCurr) <=> v172(constB23)),
% 50.73/33.25 inference(symmetry,[status(thm)],[23356])).
% 50.73/33.25 tff(23358,plain,
% 50.73/33.25 ((~v172(sK0_VarCurr)) <=> (~v172(constB23))),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23357])).
% 50.73/33.25 tff(23359,plain,
% 50.73/33.25 (~v172(constB23)),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[46, 23358])).
% 50.73/33.25 tff(23360,plain,
% 50.73/33.25 ($false),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[4071, 23359])).
% 50.73/33.25 tff(23361,plain,(~(constB23 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.25 tff(23362,assumption,(constB193 = sK0_VarCurr), introduced(assumption)).
% 50.73/33.25 tff(23363,plain,
% 50.73/33.25 (v172(constB193) <=> v172(sK0_VarCurr)),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23362])).
% 50.73/33.25 tff(23364,plain,
% 50.73/33.25 (v172(sK0_VarCurr) <=> v172(constB193)),
% 50.73/33.25 inference(symmetry,[status(thm)],[23363])).
% 50.73/33.25 tff(23365,plain,
% 50.73/33.25 ((~v172(sK0_VarCurr)) <=> (~v172(constB193))),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23364])).
% 50.73/33.25 tff(23366,plain,
% 50.73/33.25 (~v172(constB193)),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[46, 23365])).
% 50.73/33.25 tff(23367,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB183) | (~v172(constB183)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB183) | (~v172(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23368,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB183) | (~v172(constB183)))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23369,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB183) | (~v172(constB183))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23368, 23367])).
% 50.73/33.25 tff(23370,plain,
% 50.73/33.25 (v109(constB183)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23369, 740, 23034])).
% 50.73/33.25 tff(23371,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v109(constB183)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v109(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23372,plain,
% 50.73/33.25 (((~v109(constB183)) | v108(constB183)) <=> (v108(constB183) | (~v109(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23373,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v109(constB183))))),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23372])).
% 50.73/33.25 tff(23374,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v109(constB183)))),
% 50.73/33.25 inference(transitivity,[status(thm)],[23373, 23371])).
% 50.73/33.25 tff(23375,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB183)) | v108(constB183))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23376,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v109(constB183))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23375, 23374])).
% 50.73/33.25 tff(23377,plain,
% 50.73/33.25 (v108(constB183)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23376, 320, 23370])).
% 50.73/33.25 tff(23378,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB183) | (~v108(constB183)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB183) | (~v108(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23379,plain,
% 50.73/33.25 (((~v108(constB183)) | v107(constB183)) <=> (v107(constB183) | (~v108(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23380,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB183)) | v107(constB183))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB183) | (~v108(constB183))))),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23379])).
% 50.73/33.25 tff(23381,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB183)) | v107(constB183))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB183) | (~v108(constB183)))),
% 50.73/33.25 inference(transitivity,[status(thm)],[23380, 23378])).
% 50.73/33.25 tff(23382,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB183)) | v107(constB183))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23383,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB183) | (~v108(constB183))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23382, 23381])).
% 50.73/33.25 tff(23384,plain,
% 50.73/33.25 (v107(constB183)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23383, 334, 23377])).
% 50.73/33.25 tff(23385,assumption,(~v102(constB183)), introduced(assumption)).
% 50.73/33.25 tff(23386,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB183) | (~v106(constB183)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB183) | (~v106(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23387,plain,
% 50.73/33.25 (((~v106(constB183)) | v102(constB183)) <=> (v102(constB183) | (~v106(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23388,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB183)) | v102(constB183))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB183) | (~v106(constB183))))),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23387])).
% 50.73/33.25 tff(23389,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB183)) | v102(constB183))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB183) | (~v106(constB183)))),
% 50.73/33.25 inference(transitivity,[status(thm)],[23388, 23386])).
% 50.73/33.25 tff(23390,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB183)) | v102(constB183))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23391,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB183) | (~v106(constB183))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23390, 23389])).
% 50.73/33.25 tff(23392,plain,
% 50.73/33.25 (~v106(constB183)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23391, 504, 23385])).
% 50.73/33.25 tff(23393,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB183) | (~v26(constB183)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB183) | (~v26(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23394,plain,
% 50.73/33.25 (((~v26(constB183)) | v102(constB183)) <=> (v102(constB183) | (~v26(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23395,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB183)) | v102(constB183))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB183) | (~v26(constB183))))),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23394])).
% 50.73/33.25 tff(23396,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB183)) | v102(constB183))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB183) | (~v26(constB183)))),
% 50.73/33.25 inference(transitivity,[status(thm)],[23395, 23393])).
% 50.73/33.25 tff(23397,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB183)) | v102(constB183))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23398,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB183) | (~v26(constB183))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23397, 23396])).
% 50.73/33.25 tff(23399,plain,
% 50.73/33.25 (~v26(constB183)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23398, 723, 23385])).
% 50.73/33.25 tff(23400,assumption,(v107(constB183)), introduced(assumption)).
% 50.73/33.25 tff(23401,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | v106(constB183) | (~v107(constB183)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23402,plain,
% 50.73/33.25 ((v26(constB183) | (~v107(constB183)) | v106(constB183)) <=> (v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23403,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | v106(constB183) | (~v107(constB183))))),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23402])).
% 50.73/33.25 tff(23404,plain,
% 50.73/33.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 50.73/33.25 inference(transitivity,[status(thm)],[23403, 23401])).
% 50.73/33.25 tff(23405,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23406,plain,
% 50.73/33.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23405, 23404])).
% 50.73/33.25 tff(23407,plain,
% 50.73/33.25 (v26(constB183) | v106(constB183)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23406, 348, 23400])).
% 50.73/33.25 tff(23408,plain,
% 50.73/33.25 ($false),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23407, 23399, 23392])).
% 50.73/33.25 tff(23409,plain,(v102(constB183) | (~v107(constB183))), inference(lemma,lemma(discharge,[]))).
% 50.73/33.25 tff(23410,plain,
% 50.73/33.25 (v102(constB183)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23409, 23384])).
% 50.73/33.25 tff(23411,plain,
% 50.73/33.25 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23412,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 50.73/33.25 tff(23413,plain,
% 50.73/33.25 (nextState(constB183, constB184)),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23412, 23411])).
% 50.73/33.25 tff(23414,plain,
% 50.73/33.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23415,plain,
% 50.73/33.25 (((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184)) <=> ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 50.73/33.25 inference(rewrite,[status(thm)],[])).
% 50.73/33.25 tff(23416,plain,
% 50.73/33.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183))))),
% 50.73/33.25 inference(monotonicity,[status(thm)],[23415])).
% 50.73/33.25 tff(23417,plain,
% 50.73/33.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 50.73/33.25 inference(transitivity,[status(thm)],[23416, 23414])).
% 50.73/33.25 tff(23418,plain,
% 50.73/33.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))),
% 50.73/33.25 inference(quant_inst,[status(thm)],[])).
% 50.73/33.25 tff(23419,plain,
% 50.73/33.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183))),
% 50.73/33.25 inference(modus_ponens,[status(thm)],[23418, 23417])).
% 50.73/33.25 tff(23420,plain,
% 50.73/33.25 (v104(constB184) | (~v102(constB183))),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23419, 489, 23413])).
% 50.73/33.25 tff(23421,plain,
% 50.73/33.25 (v104(constB184)),
% 50.73/33.25 inference(unit_resolution,[status(thm)],[23420, 23410])).
% 50.73/33.25 tff(23422,plain,
% 50.73/33.25 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))),
% 50.73/33.26 inference(rewrite,[status(thm)],[])).
% 50.73/33.26 tff(23423,plain,
% 50.73/33.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))),
% 50.73/33.26 inference(quant_inst,[status(thm)],[])).
% 50.73/33.26 tff(23424,plain,
% 50.73/33.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184))),
% 50.73/33.26 inference(modus_ponens,[status(thm)],[23423, 23422])).
% 50.73/33.26 tff(23425,plain,
% 50.73/33.26 (~v98(constB184)),
% 50.73/33.26 inference(unit_resolution,[status(thm)],[23424, 423, 23413, 22939])).
% 50.73/33.26 tff(23426,plain,
% 50.73/33.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))),
% 50.73/33.26 inference(rewrite,[status(thm)],[])).
% 50.73/33.26 tff(23427,plain,
% 50.73/33.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))),
% 50.73/33.26 inference(quant_inst,[status(thm)],[])).
% 50.73/33.26 tff(23428,plain,
% 50.73/33.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB183, constB184)) | v96(constB184) | v98(constB184)),
% 50.73/33.26 inference(modus_ponens,[status(thm)],[23427, 23426])).
% 50.73/33.26 tff(23429,plain,
% 50.73/33.26 (v96(constB184) | v98(constB184)),
% 50.73/33.26 inference(unit_resolution,[status(thm)],[23428, 437, 23413])).
% 50.73/33.26 tff(23430,plain,
% 50.73/33.26 (v96(constB184)),
% 50.73/33.26 inference(unit_resolution,[status(thm)],[23429, 23425])).
% 50.73/33.26 tff(23431,plain,
% 50.73/33.26 (v1(constB184) <=> v1(constB184)),
% 50.73/33.26 inference(rewrite,[status(thm)],[])).
% 50.73/33.26 tff(23432,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 50.73/33.26 tff(23433,plain,
% 50.73/33.26 (v1(constB184)),
% 50.73/33.26 inference(modus_ponens,[status(thm)],[23432, 23431])).
% 50.73/33.26 tff(23434,plain,
% 50.73/33.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))),
% 50.73/33.26 inference(rewrite,[status(thm)],[])).
% 50.73/33.26 tff(23435,plain,
% 50.73/33.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))),
% 50.73/33.26 inference(quant_inst,[status(thm)],[])).
% 50.73/33.26 tff(23436,plain,
% 50.73/33.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184))),
% 50.73/33.26 inference(modus_ponens,[status(thm)],[23435, 23434])).
% 50.73/33.26 tff(23437,plain,
% 50.73/33.26 (v95(constB184) | (~v96(constB184))),
% 50.73/33.26 inference(unit_resolution,[status(thm)],[23436, 455, 23413, 23433])).
% 50.73/33.26 tff(23438,plain,
% 50.73/33.26 (v95(constB184)),
% 50.73/33.26 inference(unit_resolution,[status(thm)],[23437, 23430])).
% 50.73/33.26 tff(23439,plain,
% 50.73/33.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))),
% 50.73/33.26 inference(rewrite,[status(thm)],[])).
% 50.73/33.26 tff(23440,plain,
% 50.73/33.26 (((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184)) <=> ((~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))),
% 50.73/33.26 inference(rewrite,[status(thm)],[])).
% 50.73/33.26 tff(23441,plain,
% 50.73/33.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184))))),
% 50.73/33.26 inference(monotonicity,[status(thm)],[23440])).
% 50.73/33.26 tff(23442,plain,
% 50.73/33.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))),
% 50.73/33.26 inference(transitivity,[status(thm)],[23441, 23439])).
% 50.73/33.26 tff(23443,plain,
% 50.73/33.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))),
% 50.73/33.26 inference(quant_inst,[status(thm)],[])).
% 50.73/33.26 tff(23444,plain,
% 50.73/33.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184))),
% 50.73/33.26 inference(modus_ponens,[status(thm)],[23443, 23442])).
% 50.73/33.26 tff(23445,plain,
% 50.73/33.26 (v94(constB184) | (~v95(constB184)) | (~v104(constB184))),
% 50.73/33.26 inference(unit_resolution,[status(thm)],[23444, 470, 23413])).
% 50.73/33.26 tff(23446,plain,
% 50.73/33.26 (v94(constB184) | (~v104(constB184))),
% 50.73/33.26 inference(unit_resolution,[status(thm)],[23445, 23438])).
% 50.73/33.26 tff(23447,plain,
% 50.73/33.26 (v94(constB184)),
% 50.73/33.26 inference(unit_resolution,[status(thm)],[23446, 23421])).
% 50.73/33.26 tff(23448,plain,
% 50.73/33.26 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB183)) | v124(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB183)) | v124(constB183, bitIndex2))),
% 50.73/33.26 inference(rewrite,[status(thm)],[])).
% 50.73/33.26 tff(23449,plain,
% 50.73/33.26 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB183)) | v124(constB183, bitIndex2))),
% 50.73/33.26 inference(quant_inst,[status(thm)],[])).
% 50.73/33.26 tff(23450,plain,
% 50.73/33.26 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB183)) | v124(constB183, bitIndex2)),
% 50.73/33.26 inference(modus_ponens,[status(thm)],[23449, 23448])).
% 50.73/33.26 tff(23451,plain,
% 50.73/33.26 (v124(constB183, bitIndex2)),
% 50.73/33.26 inference(unit_resolution,[status(thm)],[23450, 691, 23034])).
% 50.73/33.26 tff(23452,assumption,(v26(constB183)), introduced(assumption)).
% 50.73/33.26 tff(23453,plain,
% 50.73/33.26 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB183))),
% 50.73/33.26 inference(quant_inst,[status(thm)],[])).
% 50.73/33.26 tff(23454,plain,
% 50.73/33.26 ($false),
% 50.73/33.26 inference(unit_resolution,[status(thm)],[23453, 55, 23452])).
% 50.73/33.26 tff(23455,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 50.73/33.26 tff(23456,plain,
% 50.73/33.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB183) | (~v124(constB183, bitIndex2)) | v121(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB183) | (~v124(constB183, bitIndex2)) | v121(constB183, bitIndex2))),
% 50.79/33.26 inference(rewrite,[status(thm)],[])).
% 50.79/33.26 tff(23457,plain,
% 50.79/33.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB183) | (~v124(constB183, bitIndex2)) | v121(constB183, bitIndex2))),
% 50.79/33.26 inference(quant_inst,[status(thm)],[])).
% 50.79/33.26 tff(23458,plain,
% 50.79/33.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB183) | (~v124(constB183, bitIndex2)) | v121(constB183, bitIndex2)),
% 50.79/33.26 inference(modus_ponens,[status(thm)],[23457, 23456])).
% 50.79/33.26 tff(23459,plain,
% 50.79/33.26 ((~v124(constB183, bitIndex2)) | v121(constB183, bitIndex2)),
% 50.79/33.26 inference(unit_resolution,[status(thm)],[23458, 374, 23455])).
% 50.79/33.26 tff(23460,plain,
% 50.79/33.26 (v121(constB183, bitIndex2)),
% 50.79/33.26 inference(unit_resolution,[status(thm)],[23459, 23451])).
% 50.79/33.26 tff(23461,plain,
% 50.79/33.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v121(constB183, bitIndex2)) | v123(constB184, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v121(constB183, bitIndex2)) | v123(constB184, bitIndex2))),
% 50.79/33.26 inference(rewrite,[status(thm)],[])).
% 50.79/33.26 tff(23462,plain,
% 50.79/33.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v121(constB183, bitIndex2)) | v123(constB184, bitIndex2))),
% 50.79/33.26 inference(quant_inst,[status(thm)],[])).
% 50.79/33.26 tff(23463,plain,
% 50.79/33.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v121(constB183, bitIndex2)) | v123(constB184, bitIndex2)),
% 50.79/33.26 inference(modus_ponens,[status(thm)],[23462, 23461])).
% 50.79/33.26 tff(23464,plain,
% 50.79/33.26 ((~v121(constB183, bitIndex2)) | v123(constB184, bitIndex2)),
% 50.79/33.26 inference(unit_resolution,[status(thm)],[23463, 389, 23413])).
% 50.79/33.26 tff(23465,plain,
% 50.79/33.26 (v123(constB184, bitIndex2)),
% 50.79/33.26 inference(unit_resolution,[status(thm)],[23464, 23460])).
% 50.79/33.26 tff(23466,plain,
% 50.79/33.26 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2)) | (~v94(constB184)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2)) | (~v94(constB184)))),
% 50.79/33.26 inference(rewrite,[status(thm)],[])).
% 50.79/33.26 tff(23467,plain,
% 50.79/33.26 ((v84(constB184, bitIndex2) | (~v94(constB184)) | (~v123(constB184, bitIndex2))) <=> (v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2)) | (~v94(constB184)))),
% 50.79/33.26 inference(rewrite,[status(thm)],[])).
% 50.79/33.26 tff(23468,plain,
% 50.79/33.26 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~v94(constB184)) | (~v123(constB184, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2)) | (~v94(constB184))))),
% 50.79/33.26 inference(monotonicity,[status(thm)],[23467])).
% 50.79/33.26 tff(23469,plain,
% 50.79/33.26 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~v94(constB184)) | (~v123(constB184, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2)) | (~v94(constB184)))),
% 50.79/33.26 inference(transitivity,[status(thm)],[23468, 23466])).
% 50.79/33.26 tff(23470,plain,
% 50.79/33.26 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~v94(constB184)) | (~v123(constB184, bitIndex2)))),
% 50.79/33.26 inference(quant_inst,[status(thm)],[])).
% 50.79/33.26 tff(23471,plain,
% 50.79/33.26 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2)) | (~v94(constB184))),
% 50.79/33.26 inference(modus_ponens,[status(thm)],[23470, 23469])).
% 50.79/33.26 tff(23472,plain,
% 50.79/33.26 (v84(constB184, bitIndex2) | (~v94(constB184))),
% 50.79/33.26 inference(unit_resolution,[status(thm)],[23471, 405, 23465])).
% 50.79/33.26 tff(23473,plain,
% 50.79/33.26 (v84(constB184, bitIndex2)),
% 50.79/33.26 inference(unit_resolution,[status(thm)],[23472, 23447])).
% 50.79/33.26 tff(23474,plain,
% 50.79/33.26 ((~v1(constB185)) <=> (~v1(constB185))),
% 50.79/33.26 inference(rewrite,[status(thm)],[])).
% 50.79/33.26 tff(23475,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 50.79/33.26 tff(23476,plain,
% 50.79/33.26 (~v1(constB185)),
% 50.79/33.26 inference(modus_ponens,[status(thm)],[23475, 23474])).
% 50.79/33.26 tff(23477,plain,
% 50.79/33.26 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 50.79/33.26 inference(rewrite,[status(thm)],[])).
% 50.79/33.26 tff(23478,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 50.79/33.26 tff(23479,plain,
% 50.79/33.26 (nextState(constB184, constB185)),
% 50.79/33.26 inference(modus_ponens,[status(thm)],[23478, 23477])).
% 50.79/33.26 tff(23480,plain,
% 50.79/33.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 50.79/33.26 inference(rewrite,[status(thm)],[])).
% 50.79/33.26 tff(23481,plain,
% 50.79/33.26 (((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 50.79/33.26 inference(rewrite,[status(thm)],[])).
% 50.79/33.26 tff(23482,plain,
% 50.79/33.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185))))),
% 50.79/33.26 inference(monotonicity,[status(thm)],[23481])).
% 50.79/33.26 tff(23483,plain,
% 50.79/33.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 50.79/33.26 inference(transitivity,[status(thm)],[23482, 23480])).
% 50.79/33.26 tff(23484,plain,
% 50.79/33.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))),
% 50.79/33.26 inference(quant_inst,[status(thm)],[])).
% 50.79/33.26 tff(23485,plain,
% 50.79/33.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185))),
% 50.79/33.26 inference(modus_ponens,[status(thm)],[23484, 23483])).
% 50.79/33.26 tff(23486,plain,
% 50.79/33.26 (~v95(constB185)),
% 50.79/33.26 inference(unit_resolution,[status(thm)],[23485, 110, 23479, 23476])).
% 50.79/33.26 tff(23487,plain,
% 50.79/33.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))),
% 50.79/33.26 inference(rewrite,[status(thm)],[])).
% 50.79/33.26 tff(23488,plain,
% 50.79/33.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))),
% 50.79/33.27 inference(quant_inst,[status(thm)],[])).
% 50.79/33.27 tff(23489,plain,
% 50.79/33.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185))),
% 50.79/33.27 inference(modus_ponens,[status(thm)],[23488, 23487])).
% 50.79/33.27 tff(23490,plain,
% 50.79/33.27 (v95(constB185) | (~v94(constB185))),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23489, 127, 23479])).
% 50.79/33.27 tff(23491,plain,
% 50.79/33.27 (~v94(constB185)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23490, 23486])).
% 50.79/33.27 tff(23492,plain,
% 50.79/33.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex2))),
% 50.79/33.27 inference(rewrite,[status(thm)],[])).
% 50.79/33.27 tff(23493,plain,
% 50.79/33.27 (((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex2)) | v94(constB185) | v84(constB185, bitIndex2)) <=> ((~v84(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex2))),
% 50.79/33.27 inference(rewrite,[status(thm)],[])).
% 50.79/33.27 tff(23494,plain,
% 50.79/33.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex2)) | v94(constB185) | v84(constB185, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex2)))),
% 50.79/33.27 inference(monotonicity,[status(thm)],[23493])).
% 50.79/33.27 tff(23495,plain,
% 50.79/33.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex2)) | v94(constB185) | v84(constB185, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex2))),
% 50.79/33.27 inference(transitivity,[status(thm)],[23494, 23492])).
% 50.79/33.27 tff(23496,plain,
% 50.79/33.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex2)) | v94(constB185) | v84(constB185, bitIndex2))),
% 50.79/33.27 inference(quant_inst,[status(thm)],[])).
% 50.79/33.27 tff(23497,plain,
% 50.79/33.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex2)),
% 50.79/33.27 inference(modus_ponens,[status(thm)],[23496, 23495])).
% 50.79/33.27 tff(23498,plain,
% 50.79/33.27 ((~v84(constB184, bitIndex2)) | v94(constB185) | v84(constB185, bitIndex2)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23497, 576, 23479])).
% 50.79/33.27 tff(23499,plain,
% 50.79/33.27 ((~v84(constB184, bitIndex2)) | v84(constB185, bitIndex2)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23498, 23491])).
% 50.79/33.27 tff(23500,plain,
% 50.79/33.27 (v84(constB185, bitIndex2)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23499, 23473])).
% 50.79/33.27 tff(23501,plain,
% 50.79/33.27 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB183)) | v124(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB183)) | v124(constB183, bitIndex1))),
% 50.79/33.27 inference(rewrite,[status(thm)],[])).
% 50.79/33.27 tff(23502,plain,
% 50.79/33.27 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB183)) | v124(constB183, bitIndex1))),
% 50.79/33.27 inference(quant_inst,[status(thm)],[])).
% 50.79/33.27 tff(23503,plain,
% 50.79/33.27 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB183)) | v124(constB183, bitIndex1)),
% 50.79/33.27 inference(modus_ponens,[status(thm)],[23502, 23501])).
% 50.79/33.27 tff(23504,plain,
% 50.79/33.27 (v124(constB183, bitIndex1)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23503, 843, 23034])).
% 50.79/33.27 tff(23505,plain,
% 50.79/33.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))),
% 50.79/33.27 inference(rewrite,[status(thm)],[])).
% 50.79/33.27 tff(23506,plain,
% 50.79/33.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))),
% 50.79/33.27 inference(quant_inst,[status(thm)],[])).
% 50.79/33.27 tff(23507,plain,
% 50.79/33.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1)),
% 50.79/33.27 inference(modus_ponens,[status(thm)],[23506, 23505])).
% 50.79/33.27 tff(23508,plain,
% 50.79/33.27 ((~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23507, 857, 23455])).
% 50.79/33.27 tff(23509,plain,
% 50.79/33.27 (v121(constB183, bitIndex1)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23508, 23504])).
% 50.79/33.27 tff(23510,plain,
% 50.79/33.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1))),
% 50.79/33.27 inference(rewrite,[status(thm)],[])).
% 50.79/33.27 tff(23511,plain,
% 50.79/33.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1))),
% 50.79/33.27 inference(quant_inst,[status(thm)],[])).
% 50.79/33.27 tff(23512,plain,
% 50.79/33.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1)),
% 50.79/33.27 inference(modus_ponens,[status(thm)],[23511, 23510])).
% 50.79/33.27 tff(23513,plain,
% 50.79/33.27 ((~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23512, 872, 23413])).
% 50.79/33.27 tff(23514,plain,
% 50.79/33.27 (v123(constB184, bitIndex1)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23513, 23509])).
% 50.79/33.27 tff(23515,plain,
% 50.79/33.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))),
% 50.79/33.27 inference(rewrite,[status(thm)],[])).
% 50.79/33.27 tff(23516,plain,
% 50.79/33.27 ((v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1))) <=> (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))),
% 50.79/33.27 inference(rewrite,[status(thm)],[])).
% 50.79/33.27 tff(23517,plain,
% 50.79/33.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184))))),
% 50.79/33.27 inference(monotonicity,[status(thm)],[23516])).
% 50.79/33.27 tff(23518,plain,
% 50.79/33.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))),
% 50.79/33.27 inference(transitivity,[status(thm)],[23517, 23515])).
% 50.79/33.27 tff(23519,plain,
% 50.79/33.27 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1)))),
% 50.79/33.27 inference(quant_inst,[status(thm)],[])).
% 50.79/33.27 tff(23520,plain,
% 50.79/33.27 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184))),
% 50.79/33.27 inference(modus_ponens,[status(thm)],[23519, 23518])).
% 50.79/33.27 tff(23521,plain,
% 50.79/33.27 (v84(constB184, bitIndex1) | (~v94(constB184))),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23520, 887, 23514])).
% 50.79/33.27 tff(23522,plain,
% 50.79/33.27 (v84(constB184, bitIndex1)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23521, 23447])).
% 50.79/33.27 tff(23523,plain,
% 50.79/33.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))),
% 50.79/33.27 inference(rewrite,[status(thm)],[])).
% 50.79/33.27 tff(23524,plain,
% 50.79/33.27 (((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1)) <=> ((~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))),
% 50.79/33.27 inference(rewrite,[status(thm)],[])).
% 50.79/33.27 tff(23525,plain,
% 50.79/33.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1)))),
% 50.79/33.27 inference(monotonicity,[status(thm)],[23524])).
% 50.79/33.27 tff(23526,plain,
% 50.79/33.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))),
% 50.79/33.27 inference(transitivity,[status(thm)],[23525, 23523])).
% 50.79/33.27 tff(23527,plain,
% 50.79/33.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1))),
% 50.79/33.27 inference(quant_inst,[status(thm)],[])).
% 50.79/33.27 tff(23528,plain,
% 50.79/33.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1)),
% 50.79/33.27 inference(modus_ponens,[status(thm)],[23527, 23526])).
% 50.79/33.27 tff(23529,plain,
% 50.79/33.27 ((~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23528, 905, 23479])).
% 50.79/33.27 tff(23530,plain,
% 50.79/33.27 ((~v84(constB184, bitIndex1)) | v84(constB185, bitIndex1)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23529, 23491])).
% 50.79/33.27 tff(23531,plain,
% 50.79/33.27 (v84(constB185, bitIndex1)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23530, 23522])).
% 50.79/33.27 tff(23532,plain,
% 50.79/33.27 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB183)) | (~v124(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB183)) | (~v124(constB183, bitIndex0)))),
% 50.79/33.27 inference(rewrite,[status(thm)],[])).
% 50.79/33.27 tff(23533,plain,
% 50.79/33.27 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB183)) | (~v124(constB183, bitIndex0)))),
% 50.79/33.27 inference(quant_inst,[status(thm)],[])).
% 50.79/33.27 tff(23534,plain,
% 50.79/33.27 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB183)) | (~v124(constB183, bitIndex0))),
% 50.79/33.27 inference(modus_ponens,[status(thm)],[23533, 23532])).
% 50.79/33.27 tff(23535,plain,
% 50.79/33.27 (~v124(constB183, bitIndex0)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23534, 921, 23034])).
% 50.79/33.27 tff(23536,plain,
% 50.79/33.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))),
% 50.79/33.27 inference(rewrite,[status(thm)],[])).
% 50.79/33.27 tff(23537,plain,
% 50.79/33.27 ((v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0))) <=> ((~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))),
% 50.79/33.27 inference(rewrite,[status(thm)],[])).
% 50.79/33.27 tff(23538,plain,
% 50.79/33.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0)))),
% 50.79/33.27 inference(monotonicity,[status(thm)],[23537])).
% 50.79/33.27 tff(23539,plain,
% 50.79/33.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))),
% 50.79/33.27 inference(transitivity,[status(thm)],[23538, 23536])).
% 50.79/33.27 tff(23540,plain,
% 50.79/33.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))),
% 50.79/33.27 inference(quant_inst,[status(thm)],[])).
% 50.79/33.27 tff(23541,plain,
% 50.79/33.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0)),
% 50.79/33.27 inference(modus_ponens,[status(thm)],[23540, 23539])).
% 50.79/33.27 tff(23542,plain,
% 50.79/33.27 ((~v121(constB183, bitIndex0)) | v124(constB183, bitIndex0)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23541, 607, 23455])).
% 50.79/33.27 tff(23543,plain,
% 50.79/33.27 (~v121(constB183, bitIndex0)),
% 50.79/33.27 inference(unit_resolution,[status(thm)],[23542, 23535])).
% 50.79/33.27 tff(23544,plain,
% 50.79/33.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23545,plain,
% 50.79/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))),
% 50.79/33.28 inference(quant_inst,[status(thm)],[])).
% 50.79/33.28 tff(23546,plain,
% 50.79/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0))),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23545, 23544])).
% 50.79/33.28 tff(23547,plain,
% 50.79/33.28 (v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0))),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23546, 637, 23413])).
% 50.79/33.28 tff(23548,plain,
% 50.79/33.28 (~v123(constB184, bitIndex0)),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23547, 23543])).
% 50.79/33.28 tff(23549,plain,
% 50.79/33.28 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23550,plain,
% 50.79/33.28 (((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0)) <=> ((~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23551,plain,
% 50.79/33.28 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184))))),
% 50.79/33.28 inference(monotonicity,[status(thm)],[23550])).
% 50.79/33.28 tff(23552,plain,
% 50.79/33.28 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))),
% 50.79/33.28 inference(transitivity,[status(thm)],[23551, 23549])).
% 50.79/33.28 tff(23553,plain,
% 50.79/33.28 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0))),
% 50.79/33.28 inference(quant_inst,[status(thm)],[])).
% 50.79/33.28 tff(23554,plain,
% 50.79/33.28 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184))),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23553, 23552])).
% 50.79/33.28 tff(23555,plain,
% 50.79/33.28 ((~v84(constB184, bitIndex0)) | (~v94(constB184))),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23554, 652, 23548])).
% 50.79/33.28 tff(23556,plain,
% 50.79/33.28 (~v84(constB184, bitIndex0)),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23555, 23447])).
% 50.79/33.28 tff(23557,plain,
% 50.79/33.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23558,plain,
% 50.79/33.28 (((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0))) <=> (v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23559,plain,
% 50.79/33.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0))))),
% 50.79/33.28 inference(monotonicity,[status(thm)],[23558])).
% 50.79/33.28 tff(23560,plain,
% 50.79/33.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 50.79/33.28 inference(transitivity,[status(thm)],[23559, 23557])).
% 50.79/33.28 tff(23561,plain,
% 50.79/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 50.79/33.28 inference(quant_inst,[status(thm)],[])).
% 50.79/33.28 tff(23562,plain,
% 50.79/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0))),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23561, 23560])).
% 50.79/33.28 tff(23563,plain,
% 50.79/33.28 (v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0))),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23562, 184, 23479])).
% 50.79/33.28 tff(23564,plain,
% 50.79/33.28 (v84(constB184, bitIndex0) | (~v84(constB185, bitIndex0))),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23563, 23491])).
% 50.79/33.28 tff(23565,plain,
% 50.79/33.28 (~v84(constB185, bitIndex0)),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23564, 23556])).
% 50.79/33.28 tff(23566,plain,
% 50.79/33.28 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)) | v119(constB185))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)) | v119(constB185))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23567,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)) | v119(constB185))),
% 50.79/33.28 inference(quant_inst,[status(thm)],[])).
% 50.79/33.28 tff(23568,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)) | v119(constB185)),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23567, 23566])).
% 50.79/33.28 tff(23569,plain,
% 50.79/33.28 (v119(constB185)),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23568, 965, 23565, 23531, 23500])).
% 50.79/33.28 tff(23570,plain,
% 50.79/33.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB185) | (~v119(constB185)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB185) | (~v119(constB185)))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23571,plain,
% 50.79/33.28 (((~v119(constB185)) | v107(constB185)) <=> (v107(constB185) | (~v119(constB185)))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23572,plain,
% 50.79/33.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB185)) | v107(constB185))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB185) | (~v119(constB185))))),
% 50.79/33.28 inference(monotonicity,[status(thm)],[23571])).
% 50.79/33.28 tff(23573,plain,
% 50.79/33.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB185)) | v107(constB185))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB185) | (~v119(constB185)))),
% 50.79/33.28 inference(transitivity,[status(thm)],[23572, 23570])).
% 50.79/33.28 tff(23574,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB185)) | v107(constB185))),
% 50.79/33.28 inference(quant_inst,[status(thm)],[])).
% 50.79/33.28 tff(23575,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB185) | (~v119(constB185))),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23574, 23573])).
% 50.79/33.28 tff(23576,plain,
% 50.79/33.28 (v107(constB185)),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23575, 976, 23569])).
% 50.79/33.28 tff(23577,assumption,(v18(constB186)), introduced(assumption)).
% 50.79/33.28 tff(23578,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB186))),
% 50.79/33.28 inference(quant_inst,[status(thm)],[])).
% 50.79/33.28 tff(23579,plain,
% 50.79/33.28 ($false),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23578, 13324, 23577])).
% 50.79/33.28 tff(23580,plain,(~v18(constB186)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.28 tff(23581,plain,
% 50.79/33.28 (v1(constB186) <=> v1(constB186)),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23582,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 50.79/33.28 tff(23583,plain,
% 50.79/33.28 (v1(constB186)),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23582, 23581])).
% 50.79/33.28 tff(23584,plain,
% 50.79/33.28 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186)))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23585,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))),
% 50.79/33.28 inference(quant_inst,[status(thm)],[])).
% 50.79/33.28 tff(23586,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186))),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23585, 23584])).
% 50.79/33.28 tff(23587,plain,
% 50.79/33.28 (v22(constB186)),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23586, 13337, 23583])).
% 50.79/33.28 tff(23588,plain,
% 50.79/33.28 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB186) | (~v22(constB186)) | (~v19(constB186)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB186) | (~v22(constB186)) | (~v19(constB186)))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23589,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB186) | (~v22(constB186)) | (~v19(constB186)))),
% 50.79/33.28 inference(quant_inst,[status(thm)],[])).
% 50.79/33.28 tff(23590,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB186) | (~v22(constB186)) | (~v19(constB186))),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23589, 23588])).
% 50.79/33.28 tff(23591,plain,
% 50.79/33.28 (v18(constB186) | (~v19(constB186))),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23590, 13351, 23587])).
% 50.79/33.28 tff(23592,plain,
% 50.79/33.28 (~v19(constB186)),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23591, 23580])).
% 50.79/33.28 tff(23593,plain,
% 50.79/33.28 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23594,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))),
% 50.79/33.28 inference(quant_inst,[status(thm)],[])).
% 50.79/33.28 tff(23595,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186)),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23594, 23593])).
% 50.79/33.28 tff(23596,plain,
% 50.79/33.28 (v13(constB186)),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23595, 13363, 23592])).
% 50.79/33.28 tff(23597,plain,
% 50.79/33.28 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23598,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 50.79/33.28 tff(23599,plain,
% 50.79/33.28 (nextState(constB185, constB186)),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23598, 23597])).
% 50.79/33.28 tff(23600,plain,
% 50.79/33.28 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23601,plain,
% 50.79/33.28 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))),
% 50.79/33.28 inference(quant_inst,[status(thm)],[])).
% 50.79/33.28 tff(23602,plain,
% 50.79/33.28 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186))),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23601, 23600])).
% 50.79/33.28 tff(23603,plain,
% 50.79/33.28 (v9(constB185) | (~v13(constB186))),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23602, 13377, 23599])).
% 50.79/33.28 tff(23604,plain,
% 50.79/33.28 (v9(constB185)),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23603, 23596])).
% 50.79/33.28 tff(23605,plain,
% 50.79/33.28 (^[VarCurr: state_type] : refl(((~v9(VarCurr)) | v80(VarCurr)) <=> ((~v9(VarCurr)) | v80(VarCurr)))),
% 50.79/33.28 inference(bind,[status(th)],[])).
% 50.79/33.28 tff(23606,plain,
% 50.79/33.28 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr)) <=> ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 50.79/33.28 inference(quant_intro,[status(thm)],[23605])).
% 50.79/33.28 tff(23607,plain,
% 50.79/33.28 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr)) <=> ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23608,axiom,(![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 50.79/33.28 tff(23609,plain,
% 50.79/33.28 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23608, 23607])).
% 50.79/33.28 tff(23610,plain,(
% 50.79/33.28 ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 50.79/33.28 inference(skolemize,[status(sab)],[23609])).
% 50.79/33.28 tff(23611,plain,
% 50.79/33.28 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23610, 23606])).
% 50.79/33.28 tff(23612,plain,
% 50.79/33.28 (((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB185)) | v80(constB185))) <=> ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB185)) | v80(constB185))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23613,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB185)) | v80(constB185))),
% 50.79/33.28 inference(quant_inst,[status(thm)],[])).
% 50.79/33.28 tff(23614,plain,
% 50.79/33.28 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB185)) | v80(constB185)),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23613, 23612])).
% 50.79/33.28 tff(23615,plain,
% 50.79/33.28 (v80(constB185)),
% 50.79/33.28 inference(unit_resolution,[status(thm)],[23614, 23611, 23604])).
% 50.79/33.28 tff(23616,plain,
% 50.79/33.28 (^[VarCurr: state_type] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 50.79/33.28 inference(bind,[status(th)],[])).
% 50.79/33.28 tff(23617,plain,
% 50.79/33.28 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 50.79/33.28 inference(quant_intro,[status(thm)],[23616])).
% 50.79/33.28 tff(23618,plain,
% 50.79/33.28 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 50.79/33.28 inference(rewrite,[status(thm)],[])).
% 50.79/33.28 tff(23619,axiom,(![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 50.79/33.28 tff(23620,plain,
% 50.79/33.28 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23619, 23618])).
% 50.79/33.28 tff(23621,plain,(
% 50.79/33.28 ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 50.79/33.28 inference(skolemize,[status(sab)],[23620])).
% 50.79/33.28 tff(23622,plain,
% 50.79/33.28 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 50.79/33.28 inference(modus_ponens,[status(thm)],[23621, 23617])).
% 50.79/33.28 tff(23623,plain,
% 50.79/33.28 (((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB185) | v78(constB185))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB185) | v78(constB185))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23624,plain,
% 50.79/33.29 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB185) | v78(constB185))),
% 50.79/33.29 inference(quant_inst,[status(thm)],[])).
% 50.79/33.29 tff(23625,plain,
% 50.79/33.29 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB185) | v78(constB185)),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23624, 23623])).
% 50.79/33.29 tff(23626,plain,
% 50.79/33.29 (v78(constB185)),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23625, 23622, 23476])).
% 50.79/33.29 tff(23627,plain,
% 50.79/33.29 (^[VarCurr: state_type] : refl((v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23628,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23627])).
% 50.79/33.29 tff(23629,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23630,plain,
% 50.79/33.29 (^[VarCurr: state_type] : rewrite((((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr)) <=> (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23631,plain,
% 50.79/33.29 (![VarCurr: state_type] : (((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr)) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23630])).
% 50.79/33.29 tff(23632,axiom,(![VarCurr: state_type] : (((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 50.79/33.29 tff(23633,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23632, 23631])).
% 50.79/33.29 tff(23634,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23633, 23629])).
% 50.79/33.29 tff(23635,plain,(
% 50.79/33.29 ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 50.79/33.29 inference(skolemize,[status(sab)],[23634])).
% 50.79/33.29 tff(23636,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23635, 23628])).
% 50.79/33.29 tff(23637,plain,
% 50.79/33.29 (((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB185) | (~v80(constB185)) | (~v78(constB185)))) <=> ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB185) | (~v80(constB185)) | (~v78(constB185)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23638,plain,
% 50.79/33.29 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB185) | (~v80(constB185)) | (~v78(constB185)))),
% 50.79/33.29 inference(quant_inst,[status(thm)],[])).
% 50.79/33.29 tff(23639,plain,
% 50.79/33.29 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB185) | (~v80(constB185)) | (~v78(constB185))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23638, 23637])).
% 50.79/33.29 tff(23640,plain,
% 50.79/33.29 (v76(constB185) | (~v80(constB185))),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23639, 23636, 23626])).
% 50.79/33.29 tff(23641,plain,
% 50.79/33.29 (v76(constB185)),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23640, 23615])).
% 50.79/33.29 tff(23642,assumption,(v71(constB185)), introduced(assumption)).
% 50.79/33.29 tff(23643,plain,
% 50.79/33.29 (^[VarCurr: state_type] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23644,plain,
% 50.79/33.29 (![VarCurr: state_type] : (~v71(VarCurr)) <=> ![VarCurr: state_type] : (~v71(VarCurr))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23643])).
% 50.79/33.29 tff(23645,plain,
% 50.79/33.29 (![VarCurr: state_type] : (~v71(VarCurr)) <=> ![VarCurr: state_type] : (~v71(VarCurr))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23646,axiom,(![VarCurr: state_type] : (~v71(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 50.79/33.29 tff(23647,plain,
% 50.79/33.29 (![VarCurr: state_type] : (~v71(VarCurr))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23646, 23645])).
% 50.79/33.29 tff(23648,plain,(
% 50.79/33.29 ![VarCurr: state_type] : (~v71(VarCurr))),
% 50.79/33.29 inference(skolemize,[status(sab)],[23647])).
% 50.79/33.29 tff(23649,plain,
% 50.79/33.29 (![VarCurr: state_type] : (~v71(VarCurr))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23648, 23644])).
% 50.79/33.29 tff(23650,plain,
% 50.79/33.29 ((~![VarCurr: state_type] : (~v71(VarCurr))) | (~v71(constB185))),
% 50.79/33.29 inference(quant_inst,[status(thm)],[])).
% 50.79/33.29 tff(23651,plain,
% 50.79/33.29 ($false),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23650, 23649, 23642])).
% 50.79/33.29 tff(23652,plain,(~v71(constB185)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.29 tff(23653,plain,
% 50.79/33.29 (^[VarCurr: state_type] : refl((v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23654,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23653])).
% 50.79/33.29 tff(23655,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23656,plain,
% 50.79/33.29 (^[VarCurr: state_type] : rewrite((((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr)) <=> (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23657,plain,
% 50.79/33.29 (![VarCurr: state_type] : (((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr)) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23656])).
% 50.79/33.29 tff(23658,axiom,(![VarCurr: state_type] : (((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 50.79/33.29 tff(23659,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23658, 23657])).
% 50.79/33.29 tff(23660,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23659, 23655])).
% 50.79/33.29 tff(23661,plain,(
% 50.79/33.29 ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 50.79/33.29 inference(skolemize,[status(sab)],[23660])).
% 50.79/33.29 tff(23662,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23661, 23654])).
% 50.79/33.29 tff(23663,plain,
% 50.79/33.29 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB185) | (~v76(constB185)) | (~v72(constB185)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | v71(constB185) | (~v76(constB185)) | (~v72(constB185)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23664,plain,
% 50.79/33.29 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB185) | (~v76(constB185)) | (~v72(constB185)))),
% 50.79/33.29 inference(quant_inst,[status(thm)],[])).
% 50.79/33.29 tff(23665,plain,
% 50.79/33.29 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | v71(constB185) | (~v76(constB185)) | (~v72(constB185))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23664, 23663])).
% 50.79/33.29 tff(23666,plain,
% 50.79/33.29 ((~v76(constB185)) | (~v72(constB185))),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23665, 23662, 23652])).
% 50.79/33.29 tff(23667,plain,
% 50.79/33.29 (~v72(constB185)),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23666, 23641])).
% 50.79/33.29 tff(23668,plain,
% 50.79/33.29 (^[VarCurr: state_type] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23669,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23668])).
% 50.79/33.29 tff(23670,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23671,plain,
% 50.79/33.29 (^[VarCurr: state_type] : rewrite(((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23672,plain,
% 50.79/33.29 (![VarCurr: state_type] : ((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23671])).
% 50.79/33.29 tff(23673,axiom,(![VarCurr: state_type] : ((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 50.79/33.29 tff(23674,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23673, 23672])).
% 50.79/33.29 tff(23675,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23674, 23670])).
% 50.79/33.29 tff(23676,plain,(
% 50.79/33.29 ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 50.79/33.29 inference(skolemize,[status(sab)],[23675])).
% 50.79/33.29 tff(23677,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23676, 23669])).
% 50.79/33.29 tff(23678,plain,
% 50.79/33.29 (((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB185) | v72(constB185) | v74(constB185))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB185) | v72(constB185) | v74(constB185))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23679,plain,
% 50.79/33.29 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB185) | v72(constB185) | v74(constB185))),
% 50.79/33.29 inference(quant_inst,[status(thm)],[])).
% 50.79/33.29 tff(23680,plain,
% 50.79/33.29 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB185) | v72(constB185) | v74(constB185)),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23679, 23678])).
% 50.79/33.29 tff(23681,plain,
% 50.79/33.29 (v72(constB185) | v74(constB185)),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23680, 23677, 23476])).
% 50.79/33.29 tff(23682,plain,
% 50.79/33.29 (v74(constB185)),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23681, 23667])).
% 50.79/33.29 tff(23683,plain,
% 50.79/33.29 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23684,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23683])).
% 50.79/33.29 tff(23685,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23686,plain,
% 50.79/33.29 (^[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))))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23687,plain,
% 50.79/33.29 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23686])).
% 50.79/33.29 tff(23688,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 50.79/33.29 tff(23689,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23688, 23687])).
% 50.79/33.29 tff(23690,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23689, 23685])).
% 50.79/33.29 tff(23691,plain,(
% 50.79/33.29 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 50.79/33.29 inference(skolemize,[status(sab)],[23690])).
% 50.79/33.29 tff(23692,plain,
% 50.79/33.29 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23691, 23684])).
% 50.79/33.29 tff(23693,plain,
% 50.79/33.29 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB185) | v64(constB185) | (~v9(constB185)))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB185) | v64(constB185) | (~v9(constB185)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23694,plain,
% 50.79/33.29 ((v1(constB185) | (~v9(constB185)) | v64(constB185)) <=> (v1(constB185) | v64(constB185) | (~v9(constB185)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23695,plain,
% 50.79/33.29 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v64(constB185))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB185) | v64(constB185) | (~v9(constB185))))),
% 50.79/33.29 inference(monotonicity,[status(thm)],[23694])).
% 50.79/33.29 tff(23696,plain,
% 50.79/33.29 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v64(constB185))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB185) | v64(constB185) | (~v9(constB185)))),
% 50.79/33.29 inference(transitivity,[status(thm)],[23695, 23693])).
% 50.79/33.29 tff(23697,plain,
% 50.79/33.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v64(constB185))),
% 50.79/33.29 inference(quant_inst,[status(thm)],[])).
% 50.79/33.29 tff(23698,plain,
% 50.79/33.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB185) | v64(constB185) | (~v9(constB185))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23697, 23696])).
% 50.79/33.29 tff(23699,plain,
% 50.79/33.29 (v64(constB185) | (~v9(constB185))),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23698, 23692, 23476])).
% 50.79/33.29 tff(23700,plain,
% 50.79/33.29 (v64(constB185)),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23699, 23604])).
% 50.79/33.29 tff(23701,assumption,(v26(constB184)), introduced(assumption)).
% 50.79/33.29 tff(23702,plain,
% 50.79/33.29 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB184))),
% 50.79/33.29 inference(quant_inst,[status(thm)],[])).
% 50.79/33.29 tff(23703,plain,
% 50.79/33.29 ($false),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23702, 55, 23701])).
% 50.79/33.29 tff(23704,plain,(~v26(constB184)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.29 tff(23705,plain,
% 50.79/33.29 (^[VarNext: state_type, VarCurr: state_type] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23706,plain,
% 50.79/33.29 (![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)))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23705])).
% 50.79/33.29 tff(23707,plain,
% 50.79/33.29 (![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)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23708,plain,
% 50.79/33.29 (^[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)))))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23709,plain,
% 50.79/33.29 (![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)))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23708])).
% 50.79/33.29 tff(23710,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 50.79/33.29 tff(23711,plain,
% 50.79/33.29 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23710, 23709])).
% 50.79/33.29 tff(23712,plain,
% 50.79/33.29 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23711, 23707])).
% 50.79/33.29 tff(23713,plain,(
% 50.79/33.29 ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 50.79/33.29 inference(skolemize,[status(sab)],[23712])).
% 50.79/33.29 tff(23714,plain,
% 50.79/33.29 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23713, 23706])).
% 50.79/33.29 tff(23715,plain,
% 50.79/33.29 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB184, constB185)) | v26(constB184) | (~v66(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB184, constB185)) | v26(constB184) | (~v66(constB185)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23716,plain,
% 50.79/33.29 ((v26(constB184) | (~nextState(constB184, constB185)) | (~v66(constB185))) <=> ((~nextState(constB184, constB185)) | v26(constB184) | (~v66(constB185)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23717,plain,
% 50.79/33.29 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB184) | (~nextState(constB184, constB185)) | (~v66(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB184, constB185)) | v26(constB184) | (~v66(constB185))))),
% 50.79/33.29 inference(monotonicity,[status(thm)],[23716])).
% 50.79/33.29 tff(23718,plain,
% 50.79/33.29 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB184) | (~nextState(constB184, constB185)) | (~v66(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB184, constB185)) | v26(constB184) | (~v66(constB185)))),
% 50.79/33.29 inference(transitivity,[status(thm)],[23717, 23715])).
% 50.79/33.29 tff(23719,plain,
% 50.79/33.29 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB184) | (~nextState(constB184, constB185)) | (~v66(constB185)))),
% 50.79/33.29 inference(quant_inst,[status(thm)],[])).
% 50.79/33.29 tff(23720,plain,
% 50.79/33.29 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB184, constB185)) | v26(constB184) | (~v66(constB185))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23719, 23718])).
% 50.79/33.29 tff(23721,plain,
% 50.79/33.29 (v26(constB184) | (~v66(constB185))),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23720, 23714, 23479])).
% 50.79/33.29 tff(23722,plain,
% 50.79/33.29 (~v66(constB185)),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23721, 23704])).
% 50.79/33.29 tff(23723,plain,
% 50.79/33.29 (^[VarNext: state_type] : refl(((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23724,plain,
% 50.79/33.29 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23723])).
% 50.79/33.29 tff(23725,plain,
% 50.79/33.29 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23726,plain,
% 50.79/33.29 (^[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)))))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23727,plain,
% 50.79/33.29 (![VarNext: state_type] : (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23726])).
% 50.79/33.29 tff(23728,axiom,(![VarNext: state_type] : (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 50.79/33.29 tff(23729,plain,
% 50.79/33.29 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23728, 23727])).
% 50.79/33.29 tff(23730,plain,
% 50.79/33.29 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23729, 23725])).
% 50.79/33.29 tff(23731,plain,(
% 50.79/33.29 ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 50.79/33.29 inference(skolemize,[status(sab)],[23730])).
% 50.79/33.29 tff(23732,plain,
% 50.79/33.29 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23731, 23724])).
% 50.79/33.29 tff(23733,plain,
% 50.79/33.29 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB185)) | v66(constB185) | (~v64(constB185)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB185)) | v66(constB185) | (~v64(constB185)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23734,plain,
% 50.79/33.29 (((~v64(constB185)) | v66(constB185) | (~v60(constB185))) <=> ((~v60(constB185)) | v66(constB185) | (~v64(constB185)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23735,plain,
% 50.79/33.29 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB185)) | v66(constB185) | (~v60(constB185)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB185)) | v66(constB185) | (~v64(constB185))))),
% 50.79/33.29 inference(monotonicity,[status(thm)],[23734])).
% 50.79/33.29 tff(23736,plain,
% 50.79/33.29 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB185)) | v66(constB185) | (~v60(constB185)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB185)) | v66(constB185) | (~v64(constB185)))),
% 50.79/33.29 inference(transitivity,[status(thm)],[23735, 23733])).
% 50.79/33.29 tff(23737,plain,
% 50.79/33.29 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB185)) | v66(constB185) | (~v60(constB185)))),
% 50.79/33.29 inference(quant_inst,[status(thm)],[])).
% 50.79/33.29 tff(23738,plain,
% 50.79/33.29 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB185)) | v66(constB185) | (~v64(constB185))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23737, 23736])).
% 50.79/33.29 tff(23739,plain,
% 50.79/33.29 ((~v60(constB185)) | (~v64(constB185))),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23738, 23732, 23722])).
% 50.79/33.29 tff(23740,plain,
% 50.79/33.29 (~v60(constB185)),
% 50.79/33.29 inference(unit_resolution,[status(thm)],[23739, 23700])).
% 50.79/33.29 tff(23741,plain,
% 50.79/33.29 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23742,plain,
% 50.79/33.29 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23741])).
% 50.79/33.29 tff(23743,plain,
% 50.79/33.29 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23744,plain,
% 50.79/33.29 (^[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)))))),
% 50.79/33.29 inference(bind,[status(th)],[])).
% 50.79/33.29 tff(23745,plain,
% 50.79/33.29 (![VarCurr: state_type] : (((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 50.79/33.29 inference(quant_intro,[status(thm)],[23744])).
% 50.79/33.29 tff(23746,axiom,(![VarCurr: state_type] : (((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_2')).
% 50.79/33.29 tff(23747,plain,
% 50.79/33.29 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23746, 23745])).
% 50.79/33.29 tff(23748,plain,
% 50.79/33.29 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23747, 23743])).
% 50.79/33.29 tff(23749,plain,(
% 50.79/33.29 ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 50.79/33.29 inference(skolemize,[status(sab)],[23748])).
% 50.79/33.29 tff(23750,plain,
% 50.79/33.29 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 50.79/33.29 inference(modus_ponens,[status(thm)],[23749, 23742])).
% 50.79/33.29 tff(23751,plain,
% 50.79/33.29 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB185) | (~v26(constB185)) | (~v74(constB185)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB185) | (~v26(constB185)) | (~v74(constB185)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23752,plain,
% 50.79/33.29 (((~v26(constB185)) | v60(constB185) | (~v74(constB185))) <=> (v60(constB185) | (~v26(constB185)) | (~v74(constB185)))),
% 50.79/33.29 inference(rewrite,[status(thm)],[])).
% 50.79/33.29 tff(23753,plain,
% 50.79/33.29 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB185)) | v60(constB185) | (~v74(constB185)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB185) | (~v26(constB185)) | (~v74(constB185))))),
% 50.79/33.29 inference(monotonicity,[status(thm)],[23752])).
% 50.79/33.29 tff(23754,plain,
% 50.79/33.29 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB185)) | v60(constB185) | (~v74(constB185)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB185) | (~v26(constB185)) | (~v74(constB185)))),
% 50.79/33.30 inference(transitivity,[status(thm)],[23753, 23751])).
% 50.79/33.30 tff(23755,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB185)) | v60(constB185) | (~v74(constB185)))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23756,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB185) | (~v26(constB185)) | (~v74(constB185))),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23755, 23754])).
% 50.79/33.30 tff(23757,plain,
% 50.79/33.30 ((~v26(constB185)) | (~v74(constB185))),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23756, 23750, 23740])).
% 50.79/33.30 tff(23758,plain,
% 50.79/33.30 (~v26(constB185)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23757, 23682])).
% 50.79/33.30 tff(23759,plain,
% 50.79/33.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | (~v107(constB185)) | v106(constB185))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23760,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23761,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | (~v107(constB185)) | v106(constB185)),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23760, 23759])).
% 50.79/33.30 tff(23762,plain,
% 50.79/33.30 ((~v107(constB185)) | v106(constB185)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23761, 348, 23758])).
% 50.79/33.30 tff(23763,plain,
% 50.79/33.30 (v106(constB185)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23762, 23576])).
% 50.79/33.30 tff(23764,plain,
% 50.79/33.30 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB185) | (~v106(constB185)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB185) | (~v106(constB185)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23765,plain,
% 50.79/33.30 (((~v106(constB185)) | v102(constB185)) <=> (v102(constB185) | (~v106(constB185)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23766,plain,
% 50.79/33.30 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB185)) | v102(constB185))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB185) | (~v106(constB185))))),
% 50.79/33.30 inference(monotonicity,[status(thm)],[23765])).
% 50.79/33.30 tff(23767,plain,
% 50.79/33.30 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB185)) | v102(constB185))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB185) | (~v106(constB185)))),
% 50.79/33.30 inference(transitivity,[status(thm)],[23766, 23764])).
% 50.79/33.30 tff(23768,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB185)) | v102(constB185))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23769,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB185) | (~v106(constB185))),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23768, 23767])).
% 50.79/33.30 tff(23770,plain,
% 50.79/33.30 (v102(constB185)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23769, 504, 23763])).
% 50.79/33.30 tff(23771,plain,
% 50.79/33.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23772,plain,
% 50.79/33.30 (((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186)) <=> ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23773,plain,
% 50.79/33.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185))))),
% 50.79/33.30 inference(monotonicity,[status(thm)],[23772])).
% 50.79/33.30 tff(23774,plain,
% 50.79/33.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 50.79/33.30 inference(transitivity,[status(thm)],[23773, 23771])).
% 50.79/33.30 tff(23775,plain,
% 50.79/33.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23776,plain,
% 50.79/33.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185))),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23775, 23774])).
% 50.79/33.30 tff(23777,plain,
% 50.79/33.30 (v104(constB186) | (~v102(constB185))),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23776, 489, 23599])).
% 50.79/33.30 tff(23778,plain,
% 50.79/33.30 (v104(constB186)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23777, 23770])).
% 50.79/33.30 tff(23779,plain,
% 50.79/33.30 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23780,plain,
% 50.79/33.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23781,plain,
% 50.79/33.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186))),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23780, 23779])).
% 50.79/33.30 tff(23782,plain,
% 50.79/33.30 (~v98(constB186)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23781, 423, 23599, 23476])).
% 50.79/33.30 tff(23783,plain,
% 50.79/33.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23784,plain,
% 50.79/33.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23785,plain,
% 50.79/33.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB185, constB186)) | v96(constB186) | v98(constB186)),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23784, 23783])).
% 50.79/33.30 tff(23786,plain,
% 50.79/33.30 (v96(constB186) | v98(constB186)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23785, 437, 23599])).
% 50.79/33.30 tff(23787,plain,
% 50.79/33.30 (v96(constB186)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23786, 23782])).
% 50.79/33.30 tff(23788,plain,
% 50.79/33.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23789,plain,
% 50.79/33.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23790,plain,
% 50.79/33.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186))),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23789, 23788])).
% 50.79/33.30 tff(23791,plain,
% 50.79/33.30 (v95(constB186) | (~v96(constB186))),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23790, 455, 23599, 23583])).
% 50.79/33.30 tff(23792,plain,
% 50.79/33.30 (v95(constB186)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23791, 23787])).
% 50.79/33.30 tff(23793,plain,
% 50.79/33.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23794,plain,
% 50.79/33.30 (((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186)) <=> ((~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23795,plain,
% 50.79/33.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186))))),
% 50.79/33.30 inference(monotonicity,[status(thm)],[23794])).
% 50.79/33.30 tff(23796,plain,
% 50.79/33.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))),
% 50.79/33.30 inference(transitivity,[status(thm)],[23795, 23793])).
% 50.79/33.30 tff(23797,plain,
% 50.79/33.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23798,plain,
% 50.79/33.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186))),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23797, 23796])).
% 50.79/33.30 tff(23799,plain,
% 50.79/33.30 (v94(constB186) | (~v95(constB186)) | (~v104(constB186))),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23798, 470, 23599])).
% 50.79/33.30 tff(23800,plain,
% 50.79/33.30 (v94(constB186) | (~v104(constB186))),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23799, 23792])).
% 50.79/33.30 tff(23801,plain,
% 50.79/33.30 (v94(constB186)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23800, 23778])).
% 50.79/33.30 tff(23802,plain,
% 50.79/33.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB185)) | (~v84(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB185)) | (~v84(constB185, bitIndex2)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23803,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB185)) | (~v84(constB185, bitIndex2)))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23804,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB185)) | (~v84(constB185, bitIndex2))),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23803, 23802])).
% 50.79/33.30 tff(23805,plain,
% 50.79/33.30 (~v115(constB185)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23804, 1036, 23500])).
% 50.79/33.30 tff(23806,plain,
% 50.79/33.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB185)) | (~v84(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB185)) | (~v84(constB185, bitIndex1)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23807,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB185)) | (~v84(constB185, bitIndex1)))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23808,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB185)) | (~v84(constB185, bitIndex1))),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23807, 23806])).
% 50.79/33.30 tff(23809,plain,
% 50.79/33.30 (~v118(constB185)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23808, 1069, 23531])).
% 50.79/33.30 tff(23810,assumption,(~v26(constB183)), introduced(assumption)).
% 50.79/33.30 tff(23811,assumption,(v124(constB183, bitIndex2)), introduced(assumption)).
% 50.79/33.30 tff(23812,plain,
% 50.79/33.30 (v26(constB183) | v121(constB183, bitIndex2)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23458, 374, 23811])).
% 50.79/33.30 tff(23813,plain,
% 50.79/33.30 (v121(constB183, bitIndex2)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23812, 23810])).
% 50.79/33.30 tff(23814,plain,
% 50.79/33.30 (v123(constB184, bitIndex2)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23464, 23813])).
% 50.79/33.30 tff(23815,assumption,(v94(constB184)), introduced(assumption)).
% 50.79/33.30 tff(23816,plain,
% 50.79/33.30 (v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2))),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23471, 405, 23815])).
% 50.79/33.30 tff(23817,plain,
% 50.79/33.30 (v84(constB184, bitIndex2)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23816, 23814])).
% 50.79/33.30 tff(23818,plain,
% 50.79/33.30 (v84(constB185, bitIndex2)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23499, 23817])).
% 50.79/33.30 tff(23819,plain,
% 50.79/33.30 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB185)) | (~v84(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB185)) | (~v84(constB185, bitIndex2)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23820,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB185)) | (~v84(constB185, bitIndex2)))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23821,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB185)) | (~v84(constB185, bitIndex2))),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23820, 23819])).
% 50.79/33.30 tff(23822,plain,
% 50.79/33.30 (~v116(constB185)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23821, 1047, 23818])).
% 50.79/33.30 tff(23823,assumption,(v124(constB183, bitIndex1)), introduced(assumption)).
% 50.79/33.30 tff(23824,plain,
% 50.79/33.30 (v26(constB183) | v121(constB183, bitIndex1)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23507, 857, 23823])).
% 50.79/33.30 tff(23825,plain,
% 50.79/33.30 (v121(constB183, bitIndex1)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23824, 23810])).
% 50.79/33.30 tff(23826,plain,
% 50.79/33.30 (v123(constB184, bitIndex1)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23513, 23825])).
% 50.79/33.30 tff(23827,plain,
% 50.79/33.30 (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1))),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23520, 887, 23815])).
% 50.79/33.30 tff(23828,plain,
% 50.79/33.30 (v84(constB184, bitIndex1)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23827, 23826])).
% 50.79/33.30 tff(23829,plain,
% 50.79/33.30 (v84(constB185, bitIndex1)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23530, 23828])).
% 50.79/33.30 tff(23830,plain,
% 50.79/33.30 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB185)) | (~v84(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB185)) | (~v84(constB185, bitIndex1)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23831,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB185)) | (~v84(constB185, bitIndex1)))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23832,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB185)) | (~v84(constB185, bitIndex1))),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23831, 23830])).
% 50.79/33.30 tff(23833,plain,
% 50.79/33.30 (~v113(constB185)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23832, 1058, 23829])).
% 50.79/33.30 tff(23834,assumption,(~v124(constB185, bitIndex0)), introduced(assumption)).
% 50.79/33.30 tff(23835,plain,
% 50.79/33.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB185)) | v124(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB185)) | v124(constB185, bitIndex0))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23836,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB185)) | v124(constB185, bitIndex0))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23837,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB185)) | v124(constB185, bitIndex0)),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23836, 23835])).
% 50.79/33.30 tff(23838,plain,
% 50.79/33.30 (~v115(constB185)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23837, 1784, 23834])).
% 50.79/33.30 tff(23839,plain,
% 50.79/33.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB185)) | v124(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB185)) | v124(constB185, bitIndex0))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23840,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB185)) | v124(constB185, bitIndex0))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23841,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB185)) | v124(constB185, bitIndex0)),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23840, 23839])).
% 50.79/33.30 tff(23842,plain,
% 50.79/33.30 (~v118(constB185)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23841, 4562, 23834])).
% 50.79/33.30 tff(23843,plain,
% 50.79/33.30 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB185)) | (~v84(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB185)) | (~v84(constB185, bitIndex1)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23844,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB185)) | (~v84(constB185, bitIndex1)))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23845,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB185)) | (~v84(constB185, bitIndex1))),
% 50.79/33.30 inference(modus_ponens,[status(thm)],[23844, 23843])).
% 50.79/33.30 tff(23846,plain,
% 50.79/33.30 (~v172(constB185)),
% 50.79/33.30 inference(unit_resolution,[status(thm)],[23845, 1080, 23829])).
% 50.79/33.30 tff(23847,plain,
% 50.79/33.30 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB185)) | (~v84(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB185)) | (~v84(constB185, bitIndex1)))),
% 50.79/33.30 inference(rewrite,[status(thm)],[])).
% 50.79/33.30 tff(23848,plain,
% 50.79/33.30 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB185)) | (~v84(constB185, bitIndex1)))),
% 50.79/33.30 inference(quant_inst,[status(thm)],[])).
% 50.79/33.30 tff(23849,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB185)) | (~v84(constB185, bitIndex1))),
% 50.79/33.31 inference(modus_ponens,[status(thm)],[23848, 23847])).
% 50.79/33.31 tff(23850,plain,
% 50.79/33.31 (~v145(constB185)),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23849, 1091, 23829])).
% 50.79/33.31 tff(23851,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | v124(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | v124(constB185, bitIndex0))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23852,plain,
% 50.79/33.31 ((v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | v124(constB185, bitIndex0)) <=> (v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | v124(constB185, bitIndex0))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23853,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | v124(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | v124(constB185, bitIndex0)))),
% 50.79/33.31 inference(monotonicity,[status(thm)],[23852])).
% 50.79/33.31 tff(23854,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | v124(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | v124(constB185, bitIndex0))),
% 50.79/33.31 inference(transitivity,[status(thm)],[23853, 23851])).
% 50.79/33.31 tff(23855,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | v124(constB185, bitIndex0))),
% 50.79/33.31 inference(quant_inst,[status(thm)],[])).
% 50.79/33.31 tff(23856,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | v124(constB185, bitIndex0)),
% 50.79/33.31 inference(modus_ponens,[status(thm)],[23855, 23854])).
% 50.79/33.31 tff(23857,plain,
% 50.79/33.31 (v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185)),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23856, 1374, 23834])).
% 50.79/33.31 tff(23858,plain,
% 50.79/33.31 ($false),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23857, 23850, 23846, 23842, 23838, 23833, 23822])).
% 50.79/33.31 tff(23859,plain,(v26(constB183) | v124(constB185, bitIndex0) | (~v94(constB184)) | (~v124(constB183, bitIndex2)) | (~v124(constB183, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.31 tff(23860,plain,
% 50.79/33.31 (v124(constB185, bitIndex0) | (~v94(constB184)) | (~v124(constB183, bitIndex2)) | (~v124(constB183, bitIndex1))),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23859, 23455])).
% 50.79/33.31 tff(23861,plain,
% 50.79/33.31 (v124(constB185, bitIndex0)),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23860, 23447, 23451, 23504])).
% 50.79/33.31 tff(23862,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v113(constB185)) | (~v124(constB185, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v113(constB185)) | (~v124(constB185, bitIndex0)))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23863,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v113(constB185)) | (~v124(constB185, bitIndex0)))),
% 50.79/33.31 inference(quant_inst,[status(thm)],[])).
% 50.79/33.31 tff(23864,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v113(constB185)) | (~v124(constB185, bitIndex0))),
% 50.79/33.31 inference(modus_ponens,[status(thm)],[23863, 23862])).
% 50.79/33.31 tff(23865,plain,
% 50.79/33.31 (~v113(constB185)),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23864, 593, 23861])).
% 50.79/33.31 tff(23866,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB185)) | (~v124(constB185, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB185)) | (~v124(constB185, bitIndex0)))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23867,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB185)) | (~v124(constB185, bitIndex0)))),
% 50.79/33.31 inference(quant_inst,[status(thm)],[])).
% 50.79/33.31 tff(23868,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB185)) | (~v124(constB185, bitIndex0))),
% 50.79/33.31 inference(modus_ponens,[status(thm)],[23867, 23866])).
% 50.79/33.31 tff(23869,plain,
% 50.79/33.31 (~v116(constB185)),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23868, 2020, 23861])).
% 50.79/33.31 tff(23870,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB185)) | (~v124(constB185, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB185)) | (~v124(constB185, bitIndex0)))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23871,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB185)) | (~v124(constB185, bitIndex0)))),
% 50.79/33.31 inference(quant_inst,[status(thm)],[])).
% 50.79/33.31 tff(23872,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB185)) | (~v124(constB185, bitIndex0))),
% 50.79/33.31 inference(modus_ponens,[status(thm)],[23871, 23870])).
% 50.79/33.31 tff(23873,plain,
% 50.79/33.31 (~v172(constB185)),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23872, 921, 23861])).
% 50.79/33.31 tff(23874,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB185)) | (~v124(constB185, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB185)) | (~v124(constB185, bitIndex0)))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23875,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB185)) | (~v124(constB185, bitIndex0)))),
% 50.79/33.31 inference(quant_inst,[status(thm)],[])).
% 50.79/33.31 tff(23876,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB185)) | (~v124(constB185, bitIndex0))),
% 50.79/33.31 inference(modus_ponens,[status(thm)],[23875, 23874])).
% 50.79/33.31 tff(23877,plain,
% 50.79/33.31 (~v145(constB185)),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23876, 1550, 23861])).
% 50.79/33.31 tff(23878,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | (~v124(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | (~v124(constB185, bitIndex2)))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23879,plain,
% 50.79/33.31 ((v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex2))) <=> (v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | (~v124(constB185, bitIndex2)))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23880,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | (~v124(constB185, bitIndex2))))),
% 50.79/33.31 inference(monotonicity,[status(thm)],[23879])).
% 50.79/33.31 tff(23881,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | (~v124(constB185, bitIndex2)))),
% 50.79/33.31 inference(transitivity,[status(thm)],[23880, 23878])).
% 50.79/33.31 tff(23882,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex2)))),
% 50.79/33.31 inference(quant_inst,[status(thm)],[])).
% 50.79/33.31 tff(23883,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | (~v124(constB185, bitIndex2))),
% 50.79/33.31 inference(modus_ponens,[status(thm)],[23882, 23881])).
% 50.79/33.31 tff(23884,plain,
% 50.79/33.31 (~v124(constB185, bitIndex2)),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23883, 1170, 23877, 23873, 23869, 23865, 23809, 23805])).
% 50.79/33.31 tff(23885,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23886,plain,
% 50.79/33.31 ((v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2))) <=> ((~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23887,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2)))),
% 50.79/33.31 inference(monotonicity,[status(thm)],[23886])).
% 50.79/33.31 tff(23888,plain,
% 50.79/33.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))),
% 50.79/33.31 inference(transitivity,[status(thm)],[23887, 23885])).
% 50.79/33.31 tff(23889,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2)))),
% 50.79/33.31 inference(quant_inst,[status(thm)],[])).
% 50.79/33.31 tff(23890,plain,
% 50.79/33.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2)),
% 50.79/33.31 inference(modus_ponens,[status(thm)],[23889, 23888])).
% 50.79/33.31 tff(23891,plain,
% 50.79/33.31 ((~v121(constB185, bitIndex2)) | v124(constB185, bitIndex2)),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23890, 1187, 23758])).
% 50.79/33.31 tff(23892,plain,
% 50.79/33.31 (~v121(constB185, bitIndex2)),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23891, 23884])).
% 50.79/33.31 tff(23893,plain,
% 50.79/33.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2)))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23894,plain,
% 50.79/33.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2)))),
% 50.79/33.31 inference(quant_inst,[status(thm)],[])).
% 50.79/33.31 tff(23895,plain,
% 50.79/33.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2))),
% 50.79/33.31 inference(modus_ponens,[status(thm)],[23894, 23893])).
% 50.79/33.31 tff(23896,plain,
% 50.79/33.31 (v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2))),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23895, 1205, 23599])).
% 50.79/33.31 tff(23897,plain,
% 50.79/33.31 (~v123(constB186, bitIndex2)),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23896, 23892])).
% 50.79/33.31 tff(23898,plain,
% 50.79/33.31 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23899,plain,
% 50.79/33.31 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))),
% 50.79/33.31 inference(quant_inst,[status(thm)],[])).
% 50.79/33.31 tff(23900,plain,
% 50.79/33.31 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186))),
% 50.79/33.31 inference(modus_ponens,[status(thm)],[23899, 23898])).
% 50.79/33.31 tff(23901,plain,
% 50.79/33.31 ((~v84(constB186, bitIndex2)) | (~v94(constB186))),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23900, 1220, 23897])).
% 50.79/33.31 tff(23902,plain,
% 50.79/33.31 (~v84(constB186, bitIndex2)),
% 50.79/33.31 inference(unit_resolution,[status(thm)],[23901, 23801])).
% 50.79/33.31 tff(23903,plain,
% 50.79/33.31 ((~v1(constB187)) <=> (~v1(constB187))),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23904,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 50.79/33.31 tff(23905,plain,
% 50.79/33.31 (~v1(constB187)),
% 50.79/33.31 inference(modus_ponens,[status(thm)],[23904, 23903])).
% 50.79/33.31 tff(23906,plain,
% 50.79/33.31 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 50.79/33.31 inference(rewrite,[status(thm)],[])).
% 50.79/33.31 tff(23907,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 50.79/33.32 tff(23908,plain,
% 50.79/33.32 (nextState(constB186, constB187)),
% 50.79/33.32 inference(modus_ponens,[status(thm)],[23907, 23906])).
% 50.79/33.32 tff(23909,plain,
% 50.79/33.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))),
% 50.79/33.32 inference(rewrite,[status(thm)],[])).
% 50.79/33.32 tff(23910,plain,
% 50.79/33.32 (((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))),
% 50.79/33.32 inference(rewrite,[status(thm)],[])).
% 50.79/33.32 tff(23911,plain,
% 50.79/33.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187))))),
% 50.79/33.32 inference(monotonicity,[status(thm)],[23910])).
% 50.79/33.32 tff(23912,plain,
% 50.79/33.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))),
% 50.79/33.32 inference(transitivity,[status(thm)],[23911, 23909])).
% 50.79/33.32 tff(23913,plain,
% 50.79/33.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187))),
% 50.79/33.32 inference(quant_inst,[status(thm)],[])).
% 50.79/33.32 tff(23914,plain,
% 50.79/33.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187))),
% 50.79/33.32 inference(modus_ponens,[status(thm)],[23913, 23912])).
% 50.79/33.32 tff(23915,plain,
% 50.79/33.32 (~v95(constB187)),
% 50.79/33.32 inference(unit_resolution,[status(thm)],[23914, 110, 23908, 23905])).
% 50.79/33.32 tff(23916,plain,
% 50.79/33.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187)))),
% 50.79/33.32 inference(rewrite,[status(thm)],[])).
% 50.79/33.32 tff(23917,plain,
% 50.79/33.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187)))),
% 50.79/33.32 inference(quant_inst,[status(thm)],[])).
% 50.79/33.32 tff(23918,plain,
% 50.79/33.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187))),
% 50.79/33.32 inference(modus_ponens,[status(thm)],[23917, 23916])).
% 50.79/33.32 tff(23919,plain,
% 50.79/33.32 (v95(constB187) | (~v94(constB187))),
% 50.79/33.32 inference(unit_resolution,[status(thm)],[23918, 127, 23908])).
% 50.79/33.32 tff(23920,plain,
% 50.79/33.32 (~v94(constB187)),
% 50.79/33.32 inference(unit_resolution,[status(thm)],[23919, 23915])).
% 50.79/33.32 tff(23921,plain,
% 50.79/33.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 50.79/33.32 inference(rewrite,[status(thm)],[])).
% 50.79/33.32 tff(23922,plain,
% 50.79/33.32 (((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2))) <=> (v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 50.79/33.32 inference(rewrite,[status(thm)],[])).
% 50.79/33.32 tff(23923,plain,
% 50.79/33.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2))))),
% 50.79/33.32 inference(monotonicity,[status(thm)],[23922])).
% 50.79/33.32 tff(23924,plain,
% 50.79/33.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 50.79/33.32 inference(transitivity,[status(thm)],[23923, 23921])).
% 50.79/33.32 tff(23925,plain,
% 50.79/33.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 50.79/33.32 inference(quant_inst,[status(thm)],[])).
% 50.79/33.32 tff(23926,plain,
% 50.79/33.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2))),
% 50.79/33.32 inference(modus_ponens,[status(thm)],[23925, 23924])).
% 50.79/33.32 tff(23927,plain,
% 50.79/33.32 (v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2))),
% 50.79/33.32 inference(unit_resolution,[status(thm)],[23926, 142, 23908])).
% 50.79/33.32 tff(23928,plain,
% 50.79/33.32 (v84(constB186, bitIndex2) | (~v84(constB187, bitIndex2))),
% 50.79/33.32 inference(unit_resolution,[status(thm)],[23927, 23920])).
% 50.79/33.32 tff(23929,plain,
% 50.79/33.32 (~v84(constB187, bitIndex2)),
% 50.79/33.32 inference(unit_resolution,[status(thm)],[23928, 23902])).
% 50.79/33.32 tff(23930,plain,
% 50.79/33.32 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | (~v124(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | (~v124(constB185, bitIndex1)))),
% 50.79/33.32 inference(rewrite,[status(thm)],[])).
% 50.79/33.32 tff(23931,plain,
% 50.79/33.32 ((v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex1))) <=> (v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | (~v124(constB185, bitIndex1)))),
% 50.79/33.32 inference(rewrite,[status(thm)],[])).
% 50.79/33.32 tff(23932,plain,
% 50.79/33.32 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | (~v124(constB185, bitIndex1))))),
% 50.79/33.32 inference(monotonicity,[status(thm)],[23931])).
% 50.79/33.32 tff(23933,plain,
% 50.79/33.32 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | (~v124(constB185, bitIndex1)))),
% 50.79/33.32 inference(transitivity,[status(thm)],[23932, 23930])).
% 50.79/33.32 tff(23934,plain,
% 50.79/33.32 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex1)))),
% 50.79/33.32 inference(quant_inst,[status(thm)],[])).
% 50.79/33.32 tff(23935,plain,
% 50.79/33.32 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB185) | v145(constB185) | v118(constB185) | v115(constB185) | v113(constB185) | v116(constB185) | (~v124(constB185, bitIndex1))),
% 50.79/33.32 inference(modus_ponens,[status(thm)],[23934, 23933])).
% 50.79/33.32 tff(23936,plain,
% 50.79/33.32 (~v124(constB185, bitIndex1)),
% 50.79/33.32 inference(unit_resolution,[status(thm)],[23935, 1105, 23877, 23873, 23869, 23865, 23809, 23805])).
% 50.79/33.32 tff(23937,plain,
% 50.79/33.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB185, bitIndex1)) | v26(constB185) | v124(constB185, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB185, bitIndex1)) | v26(constB185) | v124(constB185, bitIndex1))),
% 50.79/33.32 inference(rewrite,[status(thm)],[])).
% 50.79/33.32 tff(23938,plain,
% 50.79/33.32 ((v26(constB185) | v124(constB185, bitIndex1) | (~v121(constB185, bitIndex1))) <=> ((~v121(constB185, bitIndex1)) | v26(constB185) | v124(constB185, bitIndex1))),
% 50.79/33.32 inference(rewrite,[status(thm)],[])).
% 50.79/33.32 tff(23939,plain,
% 50.79/33.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB185) | v124(constB185, bitIndex1) | (~v121(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB185, bitIndex1)) | v26(constB185) | v124(constB185, bitIndex1)))),
% 50.79/33.32 inference(monotonicity,[status(thm)],[23938])).
% 50.79/33.32 tff(23940,plain,
% 50.79/33.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB185) | v124(constB185, bitIndex1) | (~v121(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB185, bitIndex1)) | v26(constB185) | v124(constB185, bitIndex1))),
% 50.79/33.32 inference(transitivity,[status(thm)],[23939, 23937])).
% 50.79/33.32 tff(23941,plain,
% 50.79/33.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB185) | v124(constB185, bitIndex1) | (~v121(constB185, bitIndex1)))),
% 50.79/33.32 inference(quant_inst,[status(thm)],[])).
% 50.79/33.32 tff(23942,plain,
% 50.79/33.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB185, bitIndex1)) | v26(constB185) | v124(constB185, bitIndex1)),
% 50.79/33.32 inference(modus_ponens,[status(thm)],[23941, 23940])).
% 50.79/33.32 tff(23943,plain,
% 50.79/33.32 ((~v121(constB185, bitIndex1)) | v124(constB185, bitIndex1)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23942, 233, 23758])).
% 50.79/33.33 tff(23944,plain,
% 50.79/33.33 (~v121(constB185, bitIndex1)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23943, 23936])).
% 50.79/33.33 tff(23945,plain,
% 50.79/33.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v121(constB185, bitIndex1) | (~v123(constB186, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB185, constB186)) | v121(constB185, bitIndex1) | (~v123(constB186, bitIndex1)))),
% 50.79/33.33 inference(rewrite,[status(thm)],[])).
% 50.79/33.33 tff(23946,plain,
% 50.79/33.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v121(constB185, bitIndex1) | (~v123(constB186, bitIndex1)))),
% 50.79/33.33 inference(quant_inst,[status(thm)],[])).
% 50.79/33.33 tff(23947,plain,
% 50.79/33.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB185, constB186)) | v121(constB185, bitIndex1) | (~v123(constB186, bitIndex1))),
% 50.79/33.33 inference(modus_ponens,[status(thm)],[23946, 23945])).
% 50.79/33.33 tff(23948,plain,
% 50.79/33.33 (v121(constB185, bitIndex1) | (~v123(constB186, bitIndex1))),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23947, 254, 23599])).
% 50.79/33.33 tff(23949,plain,
% 50.79/33.33 (~v123(constB186, bitIndex1)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23948, 23944])).
% 50.79/33.33 tff(23950,plain,
% 50.79/33.33 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | v123(constB186, bitIndex1) | (~v94(constB186)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB186, bitIndex1)) | v123(constB186, bitIndex1) | (~v94(constB186)))),
% 50.79/33.33 inference(rewrite,[status(thm)],[])).
% 50.79/33.33 tff(23951,plain,
% 50.79/33.33 (((~v84(constB186, bitIndex1)) | (~v94(constB186)) | v123(constB186, bitIndex1)) <=> ((~v84(constB186, bitIndex1)) | v123(constB186, bitIndex1) | (~v94(constB186)))),
% 50.79/33.33 inference(rewrite,[status(thm)],[])).
% 50.79/33.33 tff(23952,plain,
% 50.79/33.33 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | (~v94(constB186)) | v123(constB186, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | v123(constB186, bitIndex1) | (~v94(constB186))))),
% 50.79/33.33 inference(monotonicity,[status(thm)],[23951])).
% 50.79/33.33 tff(23953,plain,
% 50.79/33.33 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | (~v94(constB186)) | v123(constB186, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB186, bitIndex1)) | v123(constB186, bitIndex1) | (~v94(constB186)))),
% 50.79/33.33 inference(transitivity,[status(thm)],[23952, 23950])).
% 50.79/33.33 tff(23954,plain,
% 50.79/33.33 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | (~v94(constB186)) | v123(constB186, bitIndex1))),
% 50.79/33.33 inference(quant_inst,[status(thm)],[])).
% 50.79/33.33 tff(23955,plain,
% 50.79/33.33 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB186, bitIndex1)) | v123(constB186, bitIndex1) | (~v94(constB186))),
% 50.79/33.33 inference(modus_ponens,[status(thm)],[23954, 23953])).
% 50.79/33.33 tff(23956,plain,
% 50.79/33.33 ((~v84(constB186, bitIndex1)) | (~v94(constB186))),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23955, 532, 23949])).
% 50.79/33.33 tff(23957,plain,
% 50.79/33.33 (~v84(constB186, bitIndex1)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23956, 23801])).
% 50.79/33.33 tff(23958,plain,
% 50.79/33.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex1)))),
% 50.79/33.33 inference(rewrite,[status(thm)],[])).
% 50.79/33.33 tff(23959,plain,
% 50.79/33.33 (((~nextState(constB186, constB187)) | v84(constB186, bitIndex1) | v94(constB187) | (~v84(constB187, bitIndex1))) <=> (v84(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex1)))),
% 50.79/33.33 inference(rewrite,[status(thm)],[])).
% 50.79/33.33 tff(23960,plain,
% 50.79/33.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex1) | v94(constB187) | (~v84(constB187, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex1))))),
% 50.79/33.33 inference(monotonicity,[status(thm)],[23959])).
% 50.79/33.33 tff(23961,plain,
% 50.79/33.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex1) | v94(constB187) | (~v84(constB187, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex1)))),
% 50.79/33.33 inference(transitivity,[status(thm)],[23960, 23958])).
% 50.79/33.33 tff(23962,plain,
% 50.79/33.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex1) | v94(constB187) | (~v84(constB187, bitIndex1)))),
% 50.79/33.33 inference(quant_inst,[status(thm)],[])).
% 50.79/33.33 tff(23963,plain,
% 50.79/33.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex1))),
% 50.79/33.33 inference(modus_ponens,[status(thm)],[23962, 23961])).
% 50.79/33.33 tff(23964,plain,
% 50.79/33.33 (v84(constB186, bitIndex1) | v94(constB187) | (~v84(constB187, bitIndex1))),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23963, 163, 23908])).
% 50.79/33.33 tff(23965,plain,
% 50.79/33.33 (v84(constB186, bitIndex1) | (~v84(constB187, bitIndex1))),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23964, 23920])).
% 50.79/33.33 tff(23966,plain,
% 50.79/33.33 (~v84(constB187, bitIndex1)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23965, 23957])).
% 50.79/33.33 tff(23967,plain,
% 50.79/33.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0))),
% 50.79/33.33 inference(rewrite,[status(thm)],[])).
% 50.79/33.33 tff(23968,plain,
% 50.79/33.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0))),
% 50.79/33.33 inference(quant_inst,[status(thm)],[])).
% 50.79/33.33 tff(23969,plain,
% 50.79/33.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0)),
% 50.79/33.33 inference(modus_ponens,[status(thm)],[23968, 23967])).
% 50.79/33.33 tff(23970,plain,
% 50.79/33.33 ((~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23969, 1391, 23758])).
% 50.79/33.33 tff(23971,plain,
% 50.79/33.33 (v121(constB185, bitIndex0)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23970, 23861])).
% 50.79/33.33 tff(23972,plain,
% 50.79/33.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0))),
% 50.79/33.33 inference(rewrite,[status(thm)],[])).
% 50.79/33.33 tff(23973,plain,
% 50.79/33.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0))),
% 50.79/33.33 inference(quant_inst,[status(thm)],[])).
% 50.79/33.33 tff(23974,plain,
% 50.79/33.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0)),
% 50.79/33.33 inference(modus_ponens,[status(thm)],[23973, 23972])).
% 50.79/33.33 tff(23975,plain,
% 50.79/33.33 ((~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23974, 1406, 23599])).
% 50.79/33.33 tff(23976,plain,
% 50.79/33.33 (v123(constB186, bitIndex0)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23975, 23971])).
% 50.79/33.33 tff(23977,plain,
% 50.79/33.33 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))),
% 50.79/33.33 inference(rewrite,[status(thm)],[])).
% 50.79/33.33 tff(23978,plain,
% 50.79/33.33 ((v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0))) <=> (v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))),
% 50.79/33.33 inference(rewrite,[status(thm)],[])).
% 50.79/33.33 tff(23979,plain,
% 50.79/33.33 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186))))),
% 50.79/33.33 inference(monotonicity,[status(thm)],[23978])).
% 50.79/33.33 tff(23980,plain,
% 50.79/33.33 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))),
% 50.79/33.33 inference(transitivity,[status(thm)],[23979, 23977])).
% 50.79/33.33 tff(23981,plain,
% 50.79/33.33 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0)))),
% 50.79/33.33 inference(quant_inst,[status(thm)],[])).
% 50.79/33.33 tff(23982,plain,
% 50.79/33.33 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186))),
% 50.79/33.33 inference(modus_ponens,[status(thm)],[23981, 23980])).
% 50.79/33.33 tff(23983,plain,
% 50.79/33.33 (v84(constB186, bitIndex0) | (~v94(constB186))),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23982, 1421, 23976])).
% 50.79/33.33 tff(23984,plain,
% 50.79/33.33 (v84(constB186, bitIndex0)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23983, 23801])).
% 50.79/33.33 tff(23985,plain,
% 50.79/33.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))),
% 50.79/33.33 inference(rewrite,[status(thm)],[])).
% 50.79/33.33 tff(23986,plain,
% 50.79/33.33 (((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0)) <=> ((~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))),
% 50.79/33.33 inference(rewrite,[status(thm)],[])).
% 50.79/33.33 tff(23987,plain,
% 50.79/33.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0)))),
% 50.79/33.33 inference(monotonicity,[status(thm)],[23986])).
% 50.79/33.33 tff(23988,plain,
% 50.79/33.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))),
% 50.79/33.33 inference(transitivity,[status(thm)],[23987, 23985])).
% 50.79/33.33 tff(23989,plain,
% 50.79/33.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0))),
% 50.79/33.33 inference(quant_inst,[status(thm)],[])).
% 50.79/33.33 tff(23990,plain,
% 50.79/33.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0)),
% 50.79/33.33 inference(modus_ponens,[status(thm)],[23989, 23988])).
% 50.79/33.33 tff(23991,plain,
% 50.79/33.33 ((~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23990, 1439, 23908])).
% 50.79/33.33 tff(23992,plain,
% 50.79/33.33 ((~v84(constB186, bitIndex0)) | v84(constB187, bitIndex0)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23991, 23920])).
% 50.79/33.33 tff(23993,plain,
% 50.79/33.33 (v84(constB187, bitIndex0)),
% 50.79/33.33 inference(unit_resolution,[status(thm)],[23992, 23984])).
% 50.79/33.33 tff(23994,plain,
% 50.79/33.33 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187))),
% 50.79/33.33 inference(rewrite,[status(thm)],[])).
% 50.79/33.33 tff(23995,plain,
% 50.79/33.33 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187))),
% 50.79/33.33 inference(quant_inst,[status(thm)],[])).
% 50.79/33.33 tff(23996,plain,
% 50.79/33.33 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187)),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[23995, 23994])).
% 50.79/33.34 tff(23997,plain,
% 50.79/33.34 (v145(constB187)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[23996, 1268, 23993, 23966, 23929])).
% 50.79/33.34 tff(23998,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB187) | (~v145(constB187)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB187) | (~v145(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(23999,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB187) | (~v145(constB187)))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24000,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB187) | (~v145(constB187))),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[23999, 23998])).
% 50.79/33.34 tff(24001,plain,
% 50.79/33.34 (v112(constB187)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24000, 1253, 23997])).
% 50.79/33.34 tff(24002,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB187) | (~v112(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24003,plain,
% 50.79/33.34 (((~v112(constB187)) | v111(constB187)) <=> (v111(constB187) | (~v112(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24004,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB187)) | v111(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB187) | (~v112(constB187))))),
% 50.79/33.34 inference(monotonicity,[status(thm)],[24003])).
% 50.79/33.34 tff(24005,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB187)) | v111(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB187) | (~v112(constB187)))),
% 50.79/33.34 inference(transitivity,[status(thm)],[24004, 24002])).
% 50.79/33.34 tff(24006,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB187)) | v111(constB187))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24007,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB187) | (~v112(constB187))),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24006, 24005])).
% 50.79/33.34 tff(24008,plain,
% 50.79/33.34 (v111(constB187)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24007, 278, 24001])).
% 50.79/33.34 tff(24009,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB187) | (~v111(constB187)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB187) | (~v111(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24010,plain,
% 50.79/33.34 (((~v111(constB187)) | v110(constB187)) <=> (v110(constB187) | (~v111(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24011,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB187)) | v110(constB187))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB187) | (~v111(constB187))))),
% 50.79/33.34 inference(monotonicity,[status(thm)],[24010])).
% 50.79/33.34 tff(24012,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB187)) | v110(constB187))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB187) | (~v111(constB187)))),
% 50.79/33.34 inference(transitivity,[status(thm)],[24011, 24009])).
% 50.79/33.34 tff(24013,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB187)) | v110(constB187))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24014,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB187) | (~v111(constB187))),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24013, 24012])).
% 50.79/33.34 tff(24015,plain,
% 50.79/33.34 (v110(constB187)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24014, 292, 24008])).
% 50.79/33.34 tff(24016,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB187) | (~v110(constB187)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB187) | (~v110(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24017,plain,
% 50.79/33.34 (((~v110(constB187)) | v109(constB187)) <=> (v109(constB187) | (~v110(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24018,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB187)) | v109(constB187))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB187) | (~v110(constB187))))),
% 50.79/33.34 inference(monotonicity,[status(thm)],[24017])).
% 50.79/33.34 tff(24019,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB187)) | v109(constB187))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB187) | (~v110(constB187)))),
% 50.79/33.34 inference(transitivity,[status(thm)],[24018, 24016])).
% 50.79/33.34 tff(24020,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB187)) | v109(constB187))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24021,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB187) | (~v110(constB187))),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24020, 24019])).
% 50.79/33.34 tff(24022,plain,
% 50.79/33.34 (v109(constB187)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24021, 306, 24015])).
% 50.79/33.34 tff(24023,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB187)) | v108(constB187))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24024,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB187)) | v108(constB187))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24025,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB187)) | v108(constB187)),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24024, 24023])).
% 50.79/33.34 tff(24026,plain,
% 50.79/33.34 (v108(constB187)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24025, 320, 24022])).
% 50.79/33.34 tff(24027,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB187) | (~v108(constB187)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB187) | (~v108(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24028,plain,
% 50.79/33.34 (((~v108(constB187)) | v107(constB187)) <=> (v107(constB187) | (~v108(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24029,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB187)) | v107(constB187))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB187) | (~v108(constB187))))),
% 50.79/33.34 inference(monotonicity,[status(thm)],[24028])).
% 50.79/33.34 tff(24030,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB187)) | v107(constB187))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB187) | (~v108(constB187)))),
% 50.79/33.34 inference(transitivity,[status(thm)],[24029, 24027])).
% 50.79/33.34 tff(24031,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB187)) | v107(constB187))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24032,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB187) | (~v108(constB187))),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24031, 24030])).
% 50.79/33.34 tff(24033,plain,
% 50.79/33.34 (v107(constB187)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24032, 334, 24026])).
% 50.79/33.34 tff(24034,assumption,(v26(constB187)), introduced(assumption)).
% 50.79/33.34 tff(24035,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB187))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24036,plain,
% 50.79/33.34 ($false),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24035, 55, 24034])).
% 50.79/33.34 tff(24037,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.34 tff(24038,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | v106(constB187) | (~v107(constB187)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB187) | v106(constB187) | (~v107(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24039,plain,
% 50.79/33.34 ((v26(constB187) | (~v107(constB187)) | v106(constB187)) <=> (v26(constB187) | v106(constB187) | (~v107(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24040,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | (~v107(constB187)) | v106(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | v106(constB187) | (~v107(constB187))))),
% 50.79/33.34 inference(monotonicity,[status(thm)],[24039])).
% 50.79/33.34 tff(24041,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | (~v107(constB187)) | v106(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB187) | v106(constB187) | (~v107(constB187)))),
% 50.79/33.34 inference(transitivity,[status(thm)],[24040, 24038])).
% 50.79/33.34 tff(24042,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | (~v107(constB187)) | v106(constB187))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24043,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB187) | v106(constB187) | (~v107(constB187))),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24042, 24041])).
% 50.79/33.34 tff(24044,plain,
% 50.79/33.34 (v106(constB187) | (~v107(constB187))),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24043, 348, 24037])).
% 50.79/33.34 tff(24045,plain,
% 50.79/33.34 (v106(constB187)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24044, 24033])).
% 50.79/33.34 tff(24046,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB187) | (~v106(constB187)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB187) | (~v106(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24047,plain,
% 50.79/33.34 (((~v106(constB187)) | v102(constB187)) <=> (v102(constB187) | (~v106(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24048,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB187)) | v102(constB187))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB187) | (~v106(constB187))))),
% 50.79/33.34 inference(monotonicity,[status(thm)],[24047])).
% 50.79/33.34 tff(24049,plain,
% 50.79/33.34 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB187)) | v102(constB187))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB187) | (~v106(constB187)))),
% 50.79/33.34 inference(transitivity,[status(thm)],[24048, 24046])).
% 50.79/33.34 tff(24050,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB187)) | v102(constB187))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24051,plain,
% 50.79/33.34 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB187) | (~v106(constB187))),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24050, 24049])).
% 50.79/33.34 tff(24052,plain,
% 50.79/33.34 (v102(constB187)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24051, 504, 24045])).
% 50.79/33.34 tff(24053,plain,
% 50.79/33.34 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24054,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 50.79/33.34 tff(24055,plain,
% 50.79/33.34 (nextState(constB187, constB188)),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24054, 24053])).
% 50.79/33.34 tff(24056,plain,
% 50.79/33.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24057,plain,
% 50.79/33.34 (((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188)) <=> ((~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24058,plain,
% 50.79/33.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187))))),
% 50.79/33.34 inference(monotonicity,[status(thm)],[24057])).
% 50.79/33.34 tff(24059,plain,
% 50.79/33.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))),
% 50.79/33.34 inference(transitivity,[status(thm)],[24058, 24056])).
% 50.79/33.34 tff(24060,plain,
% 50.79/33.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24061,plain,
% 50.79/33.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187))),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24060, 24059])).
% 50.79/33.34 tff(24062,plain,
% 50.79/33.34 (v104(constB188) | (~v102(constB187))),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24061, 489, 24055])).
% 50.79/33.34 tff(24063,plain,
% 50.79/33.34 (v104(constB188)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24062, 24052])).
% 50.79/33.34 tff(24064,plain,
% 50.79/33.34 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24065,plain,
% 50.79/33.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188)))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24066,plain,
% 50.79/33.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188))),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24065, 24064])).
% 50.79/33.34 tff(24067,plain,
% 50.79/33.34 (~v98(constB188)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24066, 423, 24055, 23905])).
% 50.79/33.34 tff(24068,plain,
% 50.79/33.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB187, constB188)) | v96(constB188) | v98(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB187, constB188)) | v96(constB188) | v98(constB188))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24069,plain,
% 50.79/33.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB187, constB188)) | v96(constB188) | v98(constB188))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24070,plain,
% 50.79/33.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB187, constB188)) | v96(constB188) | v98(constB188)),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24069, 24068])).
% 50.79/33.34 tff(24071,plain,
% 50.79/33.34 (v96(constB188) | v98(constB188)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24070, 437, 24055])).
% 50.79/33.34 tff(24072,plain,
% 50.79/33.34 (v96(constB188)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24071, 24067])).
% 50.79/33.34 tff(24073,plain,
% 50.79/33.34 (v1(constB188) <=> v1(constB188)),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24074,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 50.79/33.34 tff(24075,plain,
% 50.79/33.34 (v1(constB188)),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24074, 24073])).
% 50.79/33.34 tff(24076,plain,
% 50.79/33.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24077,plain,
% 50.79/33.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188)))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24078,plain,
% 50.79/33.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188))),
% 50.79/33.34 inference(modus_ponens,[status(thm)],[24077, 24076])).
% 50.79/33.34 tff(24079,plain,
% 50.79/33.34 (v95(constB188) | (~v96(constB188))),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24078, 455, 24055, 24075])).
% 50.79/33.34 tff(24080,plain,
% 50.79/33.34 (v95(constB188)),
% 50.79/33.34 inference(unit_resolution,[status(thm)],[24079, 24072])).
% 50.79/33.34 tff(24081,plain,
% 50.79/33.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24082,plain,
% 50.79/33.34 (((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188)) <=> ((~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))),
% 50.79/33.34 inference(rewrite,[status(thm)],[])).
% 50.79/33.34 tff(24083,plain,
% 50.79/33.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188))))),
% 50.79/33.34 inference(monotonicity,[status(thm)],[24082])).
% 50.79/33.34 tff(24084,plain,
% 50.79/33.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))),
% 50.79/33.34 inference(transitivity,[status(thm)],[24083, 24081])).
% 50.79/33.34 tff(24085,plain,
% 50.79/33.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188))),
% 50.79/33.34 inference(quant_inst,[status(thm)],[])).
% 50.79/33.34 tff(24086,plain,
% 50.79/33.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188))),
% 50.79/33.35 inference(modus_ponens,[status(thm)],[24085, 24084])).
% 50.79/33.35 tff(24087,plain,
% 50.79/33.35 (v94(constB188) | (~v95(constB188)) | (~v104(constB188))),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24086, 470, 24055])).
% 50.79/33.35 tff(24088,plain,
% 50.79/33.35 (v94(constB188) | (~v104(constB188))),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24087, 24080])).
% 50.79/33.35 tff(24089,plain,
% 50.79/33.35 (v94(constB188)),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24088, 24063])).
% 50.79/33.35 tff(24090,plain,
% 50.79/33.35 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB187)) | (~v124(constB187, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB187)) | (~v124(constB187, bitIndex2)))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24091,plain,
% 50.79/33.35 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB187)) | (~v124(constB187, bitIndex2)))),
% 50.79/33.35 inference(quant_inst,[status(thm)],[])).
% 50.79/33.35 tff(24092,plain,
% 50.79/33.35 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB187)) | (~v124(constB187, bitIndex2))),
% 50.79/33.35 inference(modus_ponens,[status(thm)],[24091, 24090])).
% 50.79/33.35 tff(24093,plain,
% 50.79/33.35 (~v124(constB187, bitIndex2)),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24092, 1456, 23997])).
% 50.79/33.35 tff(24094,plain,
% 50.79/33.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB187, bitIndex2)) | v26(constB187) | v124(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB187, bitIndex2)) | v26(constB187) | v124(constB187, bitIndex2))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24095,plain,
% 50.79/33.35 ((v26(constB187) | v124(constB187, bitIndex2) | (~v121(constB187, bitIndex2))) <=> ((~v121(constB187, bitIndex2)) | v26(constB187) | v124(constB187, bitIndex2))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24096,plain,
% 50.79/33.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB187) | v124(constB187, bitIndex2) | (~v121(constB187, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB187, bitIndex2)) | v26(constB187) | v124(constB187, bitIndex2)))),
% 50.79/33.35 inference(monotonicity,[status(thm)],[24095])).
% 50.79/33.35 tff(24097,plain,
% 50.79/33.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB187) | v124(constB187, bitIndex2) | (~v121(constB187, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB187, bitIndex2)) | v26(constB187) | v124(constB187, bitIndex2))),
% 50.79/33.35 inference(transitivity,[status(thm)],[24096, 24094])).
% 50.79/33.35 tff(24098,plain,
% 50.79/33.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB187) | v124(constB187, bitIndex2) | (~v121(constB187, bitIndex2)))),
% 50.79/33.35 inference(quant_inst,[status(thm)],[])).
% 50.79/33.35 tff(24099,plain,
% 50.79/33.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB187, bitIndex2)) | v26(constB187) | v124(constB187, bitIndex2)),
% 50.79/33.35 inference(modus_ponens,[status(thm)],[24098, 24097])).
% 50.79/33.35 tff(24100,plain,
% 50.79/33.35 ((~v121(constB187, bitIndex2)) | v124(constB187, bitIndex2)),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24099, 1187, 24037])).
% 50.79/33.35 tff(24101,plain,
% 50.79/33.35 (~v121(constB187, bitIndex2)),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24100, 24093])).
% 50.79/33.35 tff(24102,plain,
% 50.79/33.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex2) | (~v123(constB188, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex2) | (~v123(constB188, bitIndex2)))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24103,plain,
% 50.79/33.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex2) | (~v123(constB188, bitIndex2)))),
% 50.79/33.35 inference(quant_inst,[status(thm)],[])).
% 50.79/33.35 tff(24104,plain,
% 50.79/33.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex2) | (~v123(constB188, bitIndex2))),
% 50.79/33.35 inference(modus_ponens,[status(thm)],[24103, 24102])).
% 50.79/33.35 tff(24105,plain,
% 50.79/33.35 (v121(constB187, bitIndex2) | (~v123(constB188, bitIndex2))),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24104, 1205, 24055])).
% 50.79/33.35 tff(24106,plain,
% 50.79/33.35 (~v123(constB188, bitIndex2)),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24105, 24101])).
% 50.79/33.35 tff(24107,plain,
% 50.79/33.35 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB188, bitIndex2)) | v123(constB188, bitIndex2) | (~v94(constB188)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB188, bitIndex2)) | v123(constB188, bitIndex2) | (~v94(constB188)))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24108,plain,
% 50.79/33.35 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB188, bitIndex2)) | v123(constB188, bitIndex2) | (~v94(constB188)))),
% 50.79/33.35 inference(quant_inst,[status(thm)],[])).
% 50.79/33.35 tff(24109,plain,
% 50.79/33.35 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB188, bitIndex2)) | v123(constB188, bitIndex2) | (~v94(constB188))),
% 50.79/33.35 inference(modus_ponens,[status(thm)],[24108, 24107])).
% 50.79/33.35 tff(24110,plain,
% 50.79/33.35 ((~v84(constB188, bitIndex2)) | (~v94(constB188))),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24109, 1220, 24106])).
% 50.79/33.35 tff(24111,plain,
% 50.79/33.35 (~v84(constB188, bitIndex2)),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24110, 24089])).
% 50.79/33.35 tff(24112,plain,
% 50.79/33.35 ((~v1(constB189)) <=> (~v1(constB189))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24113,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 50.79/33.35 tff(24114,plain,
% 50.79/33.35 (~v1(constB189)),
% 50.79/33.35 inference(modus_ponens,[status(thm)],[24113, 24112])).
% 50.79/33.35 tff(24115,plain,
% 50.79/33.35 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24116,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 50.79/33.35 tff(24117,plain,
% 50.79/33.35 (nextState(constB188, constB189)),
% 50.79/33.35 inference(modus_ponens,[status(thm)],[24116, 24115])).
% 50.79/33.35 tff(24118,plain,
% 50.79/33.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24119,plain,
% 50.79/33.35 (((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24120,plain,
% 50.79/33.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189))))),
% 50.79/33.35 inference(monotonicity,[status(thm)],[24119])).
% 50.79/33.35 tff(24121,plain,
% 50.79/33.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))),
% 50.79/33.35 inference(transitivity,[status(thm)],[24120, 24118])).
% 50.79/33.35 tff(24122,plain,
% 50.79/33.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189))),
% 50.79/33.35 inference(quant_inst,[status(thm)],[])).
% 50.79/33.35 tff(24123,plain,
% 50.79/33.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189))),
% 50.79/33.35 inference(modus_ponens,[status(thm)],[24122, 24121])).
% 50.79/33.35 tff(24124,plain,
% 50.79/33.35 (~v95(constB189)),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24123, 110, 24117, 24114])).
% 50.79/33.35 tff(24125,plain,
% 50.79/33.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189)))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24126,plain,
% 50.79/33.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189)))),
% 50.79/33.35 inference(quant_inst,[status(thm)],[])).
% 50.79/33.35 tff(24127,plain,
% 50.79/33.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189))),
% 50.79/33.35 inference(modus_ponens,[status(thm)],[24126, 24125])).
% 50.79/33.35 tff(24128,plain,
% 50.79/33.35 (v95(constB189) | (~v94(constB189))),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24127, 127, 24117])).
% 50.79/33.35 tff(24129,plain,
% 50.79/33.35 (~v94(constB189)),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24128, 24124])).
% 50.79/33.35 tff(24130,plain,
% 50.79/33.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex2)))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24131,plain,
% 50.79/33.35 (((~nextState(constB188, constB189)) | v84(constB188, bitIndex2) | v94(constB189) | (~v84(constB189, bitIndex2))) <=> (v84(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex2)))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24132,plain,
% 50.79/33.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex2) | v94(constB189) | (~v84(constB189, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex2))))),
% 50.79/33.35 inference(monotonicity,[status(thm)],[24131])).
% 50.79/33.35 tff(24133,plain,
% 50.79/33.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex2) | v94(constB189) | (~v84(constB189, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex2)))),
% 50.79/33.35 inference(transitivity,[status(thm)],[24132, 24130])).
% 50.79/33.35 tff(24134,plain,
% 50.79/33.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex2) | v94(constB189) | (~v84(constB189, bitIndex2)))),
% 50.79/33.35 inference(quant_inst,[status(thm)],[])).
% 50.79/33.35 tff(24135,plain,
% 50.79/33.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex2))),
% 50.79/33.35 inference(modus_ponens,[status(thm)],[24134, 24133])).
% 50.79/33.35 tff(24136,plain,
% 50.79/33.35 (v84(constB188, bitIndex2) | v94(constB189) | (~v84(constB189, bitIndex2))),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24135, 142, 24117])).
% 50.79/33.35 tff(24137,plain,
% 50.79/33.35 (v84(constB188, bitIndex2) | (~v84(constB189, bitIndex2))),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24136, 24129])).
% 50.79/33.35 tff(24138,plain,
% 50.79/33.35 (~v84(constB189, bitIndex2)),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24137, 24111])).
% 50.79/33.35 tff(24139,plain,
% 50.79/33.35 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB187)) | v124(constB187, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB187)) | v124(constB187, bitIndex1))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24140,plain,
% 50.79/33.35 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB187)) | v124(constB187, bitIndex1))),
% 50.79/33.35 inference(quant_inst,[status(thm)],[])).
% 50.79/33.35 tff(24141,plain,
% 50.79/33.35 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB187)) | v124(constB187, bitIndex1)),
% 50.79/33.35 inference(modus_ponens,[status(thm)],[24140, 24139])).
% 50.79/33.35 tff(24142,plain,
% 50.79/33.35 (v124(constB187, bitIndex1)),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24141, 1512, 23997])).
% 50.79/33.35 tff(24143,plain,
% 50.79/33.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB187) | (~v124(constB187, bitIndex1)) | v121(constB187, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB187) | (~v124(constB187, bitIndex1)) | v121(constB187, bitIndex1))),
% 50.79/33.35 inference(rewrite,[status(thm)],[])).
% 50.79/33.35 tff(24144,plain,
% 50.79/33.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB187) | (~v124(constB187, bitIndex1)) | v121(constB187, bitIndex1))),
% 50.79/33.35 inference(quant_inst,[status(thm)],[])).
% 50.79/33.35 tff(24145,plain,
% 50.79/33.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB187) | (~v124(constB187, bitIndex1)) | v121(constB187, bitIndex1)),
% 50.79/33.35 inference(modus_ponens,[status(thm)],[24144, 24143])).
% 50.79/33.35 tff(24146,plain,
% 50.79/33.35 ((~v124(constB187, bitIndex1)) | v121(constB187, bitIndex1)),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24145, 857, 24037])).
% 50.79/33.35 tff(24147,plain,
% 50.79/33.35 (v121(constB187, bitIndex1)),
% 50.79/33.35 inference(unit_resolution,[status(thm)],[24146, 24142])).
% 50.79/33.35 tff(24148,plain,
% 50.79/33.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v121(constB187, bitIndex1)) | v123(constB188, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB187, constB188)) | (~v121(constB187, bitIndex1)) | v123(constB188, bitIndex1))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24149,plain,
% 50.89/33.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v121(constB187, bitIndex1)) | v123(constB188, bitIndex1))),
% 50.89/33.36 inference(quant_inst,[status(thm)],[])).
% 50.89/33.36 tff(24150,plain,
% 50.89/33.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB187, constB188)) | (~v121(constB187, bitIndex1)) | v123(constB188, bitIndex1)),
% 50.89/33.36 inference(modus_ponens,[status(thm)],[24149, 24148])).
% 50.89/33.36 tff(24151,plain,
% 50.89/33.36 ((~v121(constB187, bitIndex1)) | v123(constB188, bitIndex1)),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24150, 872, 24055])).
% 50.89/33.36 tff(24152,plain,
% 50.89/33.36 (v123(constB188, bitIndex1)),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24151, 24147])).
% 50.89/33.36 tff(24153,plain,
% 50.89/33.36 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~v123(constB188, bitIndex1)) | (~v94(constB188)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB188, bitIndex1) | (~v123(constB188, bitIndex1)) | (~v94(constB188)))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24154,plain,
% 50.89/33.36 ((v84(constB188, bitIndex1) | (~v94(constB188)) | (~v123(constB188, bitIndex1))) <=> (v84(constB188, bitIndex1) | (~v123(constB188, bitIndex1)) | (~v94(constB188)))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24155,plain,
% 50.89/33.36 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~v94(constB188)) | (~v123(constB188, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~v123(constB188, bitIndex1)) | (~v94(constB188))))),
% 50.89/33.36 inference(monotonicity,[status(thm)],[24154])).
% 50.89/33.36 tff(24156,plain,
% 50.89/33.36 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~v94(constB188)) | (~v123(constB188, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB188, bitIndex1) | (~v123(constB188, bitIndex1)) | (~v94(constB188)))),
% 50.89/33.36 inference(transitivity,[status(thm)],[24155, 24153])).
% 50.89/33.36 tff(24157,plain,
% 50.89/33.36 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~v94(constB188)) | (~v123(constB188, bitIndex1)))),
% 50.89/33.36 inference(quant_inst,[status(thm)],[])).
% 50.89/33.36 tff(24158,plain,
% 50.89/33.36 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB188, bitIndex1) | (~v123(constB188, bitIndex1)) | (~v94(constB188))),
% 50.89/33.36 inference(modus_ponens,[status(thm)],[24157, 24156])).
% 50.89/33.36 tff(24159,plain,
% 50.89/33.36 (v84(constB188, bitIndex1) | (~v94(constB188))),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24158, 887, 24152])).
% 50.89/33.36 tff(24160,plain,
% 50.89/33.36 (v84(constB188, bitIndex1)),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24159, 24089])).
% 50.89/33.36 tff(24161,plain,
% 50.89/33.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex1))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24162,plain,
% 50.89/33.36 (((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex1)) | v94(constB189) | v84(constB189, bitIndex1)) <=> ((~v84(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex1))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24163,plain,
% 50.89/33.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex1)) | v94(constB189) | v84(constB189, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex1)))),
% 50.89/33.36 inference(monotonicity,[status(thm)],[24162])).
% 50.89/33.36 tff(24164,plain,
% 50.89/33.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex1)) | v94(constB189) | v84(constB189, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex1))),
% 50.89/33.36 inference(transitivity,[status(thm)],[24163, 24161])).
% 50.89/33.36 tff(24165,plain,
% 50.89/33.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex1)) | v94(constB189) | v84(constB189, bitIndex1))),
% 50.89/33.36 inference(quant_inst,[status(thm)],[])).
% 50.89/33.36 tff(24166,plain,
% 50.89/33.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex1)),
% 50.89/33.36 inference(modus_ponens,[status(thm)],[24165, 24164])).
% 50.89/33.36 tff(24167,plain,
% 50.89/33.36 ((~v84(constB188, bitIndex1)) | v94(constB189) | v84(constB189, bitIndex1)),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24166, 905, 24117])).
% 50.89/33.36 tff(24168,plain,
% 50.89/33.36 ((~v84(constB188, bitIndex1)) | v84(constB189, bitIndex1)),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24167, 24129])).
% 50.89/33.36 tff(24169,plain,
% 50.89/33.36 (v84(constB189, bitIndex1)),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24168, 24160])).
% 50.89/33.36 tff(24170,plain,
% 50.89/33.36 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB187)) | (~v124(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB187)) | (~v124(constB187, bitIndex0)))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24171,plain,
% 50.89/33.36 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB187)) | (~v124(constB187, bitIndex0)))),
% 50.89/33.36 inference(quant_inst,[status(thm)],[])).
% 50.89/33.36 tff(24172,plain,
% 50.89/33.36 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB187)) | (~v124(constB187, bitIndex0))),
% 50.89/33.36 inference(modus_ponens,[status(thm)],[24171, 24170])).
% 50.89/33.36 tff(24173,plain,
% 50.89/33.36 (~v124(constB187, bitIndex0)),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24172, 1550, 23997])).
% 50.89/33.36 tff(24174,plain,
% 50.89/33.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24175,plain,
% 50.89/33.36 ((v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0))) <=> ((~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24176,plain,
% 50.89/33.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0)))),
% 50.89/33.36 inference(monotonicity,[status(thm)],[24175])).
% 50.89/33.36 tff(24177,plain,
% 50.89/33.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))),
% 50.89/33.36 inference(transitivity,[status(thm)],[24176, 24174])).
% 50.89/33.36 tff(24178,plain,
% 50.89/33.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0)))),
% 50.89/33.36 inference(quant_inst,[status(thm)],[])).
% 50.89/33.36 tff(24179,plain,
% 50.89/33.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0)),
% 50.89/33.36 inference(modus_ponens,[status(thm)],[24178, 24177])).
% 50.89/33.36 tff(24180,plain,
% 50.89/33.36 ((~v121(constB187, bitIndex0)) | v124(constB187, bitIndex0)),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24179, 607, 24037])).
% 50.89/33.36 tff(24181,plain,
% 50.89/33.36 (~v121(constB187, bitIndex0)),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24180, 24173])).
% 50.89/33.36 tff(24182,plain,
% 50.89/33.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0)))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24183,plain,
% 50.89/33.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0)))),
% 50.89/33.36 inference(quant_inst,[status(thm)],[])).
% 50.89/33.36 tff(24184,plain,
% 50.89/33.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0))),
% 50.89/33.36 inference(modus_ponens,[status(thm)],[24183, 24182])).
% 50.89/33.36 tff(24185,plain,
% 50.89/33.36 (v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0))),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24184, 637, 24055])).
% 50.89/33.36 tff(24186,plain,
% 50.89/33.36 (~v123(constB188, bitIndex0)),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24185, 24181])).
% 50.89/33.36 tff(24187,plain,
% 50.89/33.36 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24188,plain,
% 50.89/33.36 (((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0)) <=> ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24189,plain,
% 50.89/33.36 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188))))),
% 50.89/33.36 inference(monotonicity,[status(thm)],[24188])).
% 50.89/33.36 tff(24190,plain,
% 50.89/33.36 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))),
% 50.89/33.36 inference(transitivity,[status(thm)],[24189, 24187])).
% 50.89/33.36 tff(24191,plain,
% 50.89/33.36 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0))),
% 50.89/33.36 inference(quant_inst,[status(thm)],[])).
% 50.89/33.36 tff(24192,plain,
% 50.89/33.36 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188))),
% 50.89/33.36 inference(modus_ponens,[status(thm)],[24191, 24190])).
% 50.89/33.36 tff(24193,plain,
% 50.89/33.36 ((~v84(constB188, bitIndex0)) | (~v94(constB188))),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24192, 652, 24186])).
% 50.89/33.36 tff(24194,plain,
% 50.89/33.36 (~v84(constB188, bitIndex0)),
% 50.89/33.36 inference(unit_resolution,[status(thm)],[24193, 24089])).
% 50.89/33.36 tff(24195,plain,
% 50.89/33.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24196,plain,
% 50.89/33.36 (((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0))) <=> (v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 50.89/33.36 inference(rewrite,[status(thm)],[])).
% 50.89/33.36 tff(24197,plain,
% 50.89/33.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0))))),
% 50.89/33.36 inference(monotonicity,[status(thm)],[24196])).
% 50.89/33.36 tff(24198,plain,
% 50.89/33.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 50.89/33.36 inference(transitivity,[status(thm)],[24197, 24195])).
% 50.89/33.36 tff(24199,plain,
% 50.89/33.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 50.89/33.36 inference(quant_inst,[status(thm)],[])).
% 50.89/33.36 tff(24200,plain,
% 50.89/33.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0))),
% 50.89/33.36 inference(modus_ponens,[status(thm)],[24199, 24198])).
% 50.89/33.37 tff(24201,plain,
% 50.89/33.37 (v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0))),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24200, 184, 24117])).
% 50.89/33.37 tff(24202,plain,
% 50.89/33.37 (v84(constB188, bitIndex0) | (~v84(constB189, bitIndex0))),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24201, 24129])).
% 50.89/33.37 tff(24203,plain,
% 50.89/33.37 (~v84(constB189, bitIndex0)),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24202, 24194])).
% 50.89/33.37 tff(24204,plain,
% 50.89/33.37 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB189, bitIndex0) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2) | v115(constB189))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB189, bitIndex0) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2) | v115(constB189))),
% 50.89/33.37 inference(rewrite,[status(thm)],[])).
% 50.89/33.37 tff(24205,plain,
% 50.89/33.37 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB189, bitIndex0) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2) | v115(constB189))),
% 50.89/33.37 inference(quant_inst,[status(thm)],[])).
% 50.89/33.37 tff(24206,plain,
% 50.89/33.37 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB189, bitIndex0) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2) | v115(constB189)),
% 50.89/33.37 inference(modus_ponens,[status(thm)],[24205, 24204])).
% 50.89/33.37 tff(24207,plain,
% 50.89/33.37 (v115(constB189)),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24206, 1594, 24203, 24169, 24138])).
% 50.89/33.37 tff(24208,plain,
% 50.89/33.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB189)) | (~v124(constB189, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB189)) | (~v124(constB189, bitIndex2)))),
% 50.89/33.37 inference(rewrite,[status(thm)],[])).
% 50.89/33.37 tff(24209,plain,
% 50.89/33.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB189)) | (~v124(constB189, bitIndex2)))),
% 50.89/33.37 inference(quant_inst,[status(thm)],[])).
% 50.89/33.37 tff(24210,plain,
% 50.89/33.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB189)) | (~v124(constB189, bitIndex2))),
% 50.89/33.37 inference(modus_ponens,[status(thm)],[24209, 24208])).
% 50.89/33.37 tff(24211,plain,
% 50.89/33.37 (~v124(constB189, bitIndex2)),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24210, 1690, 24207])).
% 50.89/33.37 tff(24212,assumption,(v26(constB189)), introduced(assumption)).
% 50.89/33.37 tff(24213,plain,
% 50.89/33.37 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB189))),
% 50.89/33.37 inference(quant_inst,[status(thm)],[])).
% 50.89/33.37 tff(24214,plain,
% 50.89/33.37 ($false),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24213, 55, 24212])).
% 50.89/33.37 tff(24215,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 50.89/33.37 tff(24216,plain,
% 50.89/33.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB189, bitIndex2)) | v26(constB189) | v124(constB189, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB189, bitIndex2)) | v26(constB189) | v124(constB189, bitIndex2))),
% 50.89/33.37 inference(rewrite,[status(thm)],[])).
% 50.89/33.37 tff(24217,plain,
% 50.89/33.37 ((v26(constB189) | v124(constB189, bitIndex2) | (~v121(constB189, bitIndex2))) <=> ((~v121(constB189, bitIndex2)) | v26(constB189) | v124(constB189, bitIndex2))),
% 50.89/33.37 inference(rewrite,[status(thm)],[])).
% 50.89/33.37 tff(24218,plain,
% 50.89/33.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB189) | v124(constB189, bitIndex2) | (~v121(constB189, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB189, bitIndex2)) | v26(constB189) | v124(constB189, bitIndex2)))),
% 50.89/33.37 inference(monotonicity,[status(thm)],[24217])).
% 50.89/33.37 tff(24219,plain,
% 50.89/33.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB189) | v124(constB189, bitIndex2) | (~v121(constB189, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB189, bitIndex2)) | v26(constB189) | v124(constB189, bitIndex2))),
% 50.89/33.37 inference(transitivity,[status(thm)],[24218, 24216])).
% 50.89/33.37 tff(24220,plain,
% 50.89/33.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB189) | v124(constB189, bitIndex2) | (~v121(constB189, bitIndex2)))),
% 50.89/33.37 inference(quant_inst,[status(thm)],[])).
% 50.89/33.37 tff(24221,plain,
% 50.89/33.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB189, bitIndex2)) | v26(constB189) | v124(constB189, bitIndex2)),
% 50.89/33.37 inference(modus_ponens,[status(thm)],[24220, 24219])).
% 50.89/33.37 tff(24222,plain,
% 50.89/33.37 ((~v121(constB189, bitIndex2)) | v124(constB189, bitIndex2)),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24221, 1187, 24215])).
% 50.89/33.37 tff(24223,plain,
% 50.89/33.37 (~v121(constB189, bitIndex2)),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24222, 24211])).
% 50.89/33.37 tff(24224,plain,
% 50.89/33.37 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 50.89/33.37 inference(rewrite,[status(thm)],[])).
% 50.89/33.37 tff(24225,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 50.89/33.37 tff(24226,plain,
% 50.89/33.37 (nextState(constB189, constB190)),
% 50.89/33.37 inference(modus_ponens,[status(thm)],[24225, 24224])).
% 50.89/33.37 tff(24227,plain,
% 50.89/33.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v121(constB189, bitIndex2) | (~v123(constB190, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB189, constB190)) | v121(constB189, bitIndex2) | (~v123(constB190, bitIndex2)))),
% 50.89/33.37 inference(rewrite,[status(thm)],[])).
% 50.89/33.37 tff(24228,plain,
% 50.89/33.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v121(constB189, bitIndex2) | (~v123(constB190, bitIndex2)))),
% 50.89/33.37 inference(quant_inst,[status(thm)],[])).
% 50.89/33.37 tff(24229,plain,
% 50.89/33.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB189, constB190)) | v121(constB189, bitIndex2) | (~v123(constB190, bitIndex2))),
% 50.89/33.37 inference(modus_ponens,[status(thm)],[24228, 24227])).
% 50.89/33.37 tff(24230,plain,
% 50.89/33.37 (v121(constB189, bitIndex2) | (~v123(constB190, bitIndex2))),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24229, 1205, 24226])).
% 50.89/33.37 tff(24231,plain,
% 50.89/33.37 (~v123(constB190, bitIndex2)),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24230, 24223])).
% 50.89/33.37 tff(24232,plain,
% 50.89/33.37 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB189)) | (~v84(constB189, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB189)) | (~v84(constB189, bitIndex1)))),
% 50.89/33.37 inference(rewrite,[status(thm)],[])).
% 50.89/33.37 tff(24233,plain,
% 50.89/33.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB189)) | (~v84(constB189, bitIndex1)))),
% 50.89/33.37 inference(quant_inst,[status(thm)],[])).
% 50.89/33.37 tff(24234,plain,
% 50.89/33.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB189)) | (~v84(constB189, bitIndex1))),
% 50.89/33.37 inference(modus_ponens,[status(thm)],[24233, 24232])).
% 50.89/33.37 tff(24235,plain,
% 50.89/33.37 (~v145(constB189)),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24234, 1091, 24169])).
% 50.89/33.37 tff(24236,assumption,(~v84(constB189, bitIndex2)), introduced(assumption)).
% 50.89/33.37 tff(24237,assumption,(~v94(constB190)), introduced(assumption)).
% 50.89/33.37 tff(24238,assumption,(~v145(constB189)), introduced(assumption)).
% 50.89/33.37 tff(24239,assumption,(~v84(constB190, bitIndex2)), introduced(assumption)).
% 50.89/33.37 tff(24240,plain,
% 50.89/33.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB189, bitIndex2)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB189, bitIndex2)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex2))),
% 50.89/33.37 inference(rewrite,[status(thm)],[])).
% 50.89/33.37 tff(24241,plain,
% 50.89/33.37 (((~nextState(constB189, constB190)) | (~v84(constB189, bitIndex2)) | v94(constB190) | v84(constB190, bitIndex2)) <=> ((~v84(constB189, bitIndex2)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex2))),
% 50.89/33.37 inference(rewrite,[status(thm)],[])).
% 50.89/33.37 tff(24242,plain,
% 50.89/33.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v84(constB189, bitIndex2)) | v94(constB190) | v84(constB190, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB189, bitIndex2)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex2)))),
% 50.89/33.37 inference(monotonicity,[status(thm)],[24241])).
% 50.89/33.37 tff(24243,plain,
% 50.89/33.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v84(constB189, bitIndex2)) | v94(constB190) | v84(constB190, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB189, bitIndex2)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex2))),
% 50.89/33.37 inference(transitivity,[status(thm)],[24242, 24240])).
% 50.89/33.37 tff(24244,plain,
% 50.89/33.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v84(constB189, bitIndex2)) | v94(constB190) | v84(constB190, bitIndex2))),
% 50.89/33.37 inference(quant_inst,[status(thm)],[])).
% 50.89/33.37 tff(24245,plain,
% 50.89/33.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB189, bitIndex2)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex2)),
% 50.89/33.37 inference(modus_ponens,[status(thm)],[24244, 24243])).
% 50.89/33.37 tff(24246,plain,
% 50.89/33.37 ((~v84(constB189, bitIndex2)) | v94(constB190) | v84(constB190, bitIndex2)),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24245, 576, 24226])).
% 50.89/33.37 tff(24247,plain,
% 50.89/33.37 (~v84(constB189, bitIndex2)),
% 50.89/33.37 inference(unit_resolution,[status(thm)],[24246, 24239, 24237])).
% 50.89/33.37 tff(24248,assumption,(~v84(constB189, bitIndex1)), introduced(assumption)).
% 50.89/33.37 tff(24249,plain,
% 50.89/33.37 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB189, bitIndex0)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2) | v145(constB189))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB189, bitIndex0)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2) | v145(constB189))),
% 50.89/33.37 inference(rewrite,[status(thm)],[])).
% 50.89/33.37 tff(24250,plain,
% 50.89/33.37 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB189, bitIndex0)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2) | v145(constB189))),
% 50.89/33.37 inference(quant_inst,[status(thm)],[])).
% 50.89/33.38 tff(24251,plain,
% 50.89/33.38 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB189, bitIndex0)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2) | v145(constB189)),
% 50.89/33.38 inference(modus_ponens,[status(thm)],[24250, 24249])).
% 50.89/33.38 tff(24252,plain,
% 50.89/33.38 ((~v84(constB189, bitIndex0)) | v84(constB189, bitIndex1) | v145(constB189)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24251, 1268, 24236])).
% 50.89/33.38 tff(24253,plain,
% 50.89/33.38 (~v84(constB189, bitIndex0)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24252, 24248, 24238])).
% 50.89/33.38 tff(24254,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex0))),
% 50.89/33.38 inference(rewrite,[status(thm)],[])).
% 50.89/33.38 tff(24255,plain,
% 50.89/33.38 (((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex0)) | v94(constB189) | v84(constB189, bitIndex0)) <=> ((~v84(constB188, bitIndex0)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex0))),
% 50.89/33.38 inference(rewrite,[status(thm)],[])).
% 50.89/33.38 tff(24256,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex0)) | v94(constB189) | v84(constB189, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex0)))),
% 50.89/33.38 inference(monotonicity,[status(thm)],[24255])).
% 50.89/33.38 tff(24257,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex0)) | v94(constB189) | v84(constB189, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex0))),
% 50.89/33.38 inference(transitivity,[status(thm)],[24256, 24254])).
% 50.89/33.38 tff(24258,plain,
% 50.89/33.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex0)) | v94(constB189) | v84(constB189, bitIndex0))),
% 50.89/33.38 inference(quant_inst,[status(thm)],[])).
% 50.89/33.38 tff(24259,plain,
% 50.89/33.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex0)),
% 50.89/33.38 inference(modus_ponens,[status(thm)],[24258, 24257])).
% 50.89/33.38 tff(24260,plain,
% 50.89/33.38 ((~v84(constB188, bitIndex0)) | v94(constB189) | v84(constB189, bitIndex0)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24259, 1439, 24117])).
% 50.89/33.38 tff(24261,plain,
% 50.89/33.38 ((~v84(constB188, bitIndex0)) | v84(constB189, bitIndex0)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24260, 24129])).
% 50.89/33.38 tff(24262,plain,
% 50.89/33.38 (~v84(constB188, bitIndex0)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24261, 24253])).
% 50.89/33.38 tff(24263,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2))),
% 50.89/33.38 inference(rewrite,[status(thm)],[])).
% 50.89/33.38 tff(24264,plain,
% 50.89/33.38 (((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2)) <=> ((~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2))),
% 50.89/33.38 inference(rewrite,[status(thm)],[])).
% 50.89/33.38 tff(24265,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2)))),
% 50.89/33.38 inference(monotonicity,[status(thm)],[24264])).
% 50.89/33.38 tff(24266,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2))),
% 50.89/33.38 inference(transitivity,[status(thm)],[24265, 24263])).
% 50.89/33.38 tff(24267,plain,
% 50.89/33.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2))),
% 50.89/33.38 inference(quant_inst,[status(thm)],[])).
% 50.89/33.38 tff(24268,plain,
% 50.89/33.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2)),
% 50.89/33.38 inference(modus_ponens,[status(thm)],[24267, 24266])).
% 50.89/33.38 tff(24269,plain,
% 50.89/33.38 ((~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24268, 576, 24117])).
% 50.89/33.38 tff(24270,plain,
% 50.89/33.38 ((~v84(constB188, bitIndex2)) | v84(constB189, bitIndex2)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24269, 24129])).
% 50.89/33.38 tff(24271,plain,
% 50.89/33.38 (~v84(constB188, bitIndex2)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24270, 24236])).
% 50.89/33.38 tff(24272,plain,
% 50.89/33.38 (~v84(constB188, bitIndex1)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24168, 24248])).
% 50.89/33.38 tff(24273,assumption,(~v94(constB188)), introduced(assumption)).
% 50.89/33.38 tff(24274,plain,
% 50.89/33.38 (~v104(constB188)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24088, 24273])).
% 50.89/33.38 tff(24275,plain,
% 50.89/33.38 (~v102(constB187)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24062, 24274])).
% 50.89/33.38 tff(24276,plain,
% 50.89/33.38 (~v106(constB187)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24051, 504, 24275])).
% 50.89/33.38 tff(24277,plain,
% 50.89/33.38 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB187) | (~v26(constB187)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB187) | (~v26(constB187)))),
% 50.89/33.38 inference(rewrite,[status(thm)],[])).
% 50.89/33.38 tff(24278,plain,
% 50.89/33.38 (((~v26(constB187)) | v102(constB187)) <=> (v102(constB187) | (~v26(constB187)))),
% 50.89/33.38 inference(rewrite,[status(thm)],[])).
% 50.89/33.38 tff(24279,plain,
% 50.89/33.38 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB187)) | v102(constB187))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB187) | (~v26(constB187))))),
% 50.89/33.38 inference(monotonicity,[status(thm)],[24278])).
% 50.89/33.38 tff(24280,plain,
% 50.89/33.38 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB187)) | v102(constB187))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB187) | (~v26(constB187)))),
% 50.89/33.38 inference(transitivity,[status(thm)],[24279, 24277])).
% 50.89/33.38 tff(24281,plain,
% 50.89/33.38 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB187)) | v102(constB187))),
% 50.89/33.38 inference(quant_inst,[status(thm)],[])).
% 50.89/33.38 tff(24282,plain,
% 50.89/33.38 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB187) | (~v26(constB187))),
% 50.89/33.38 inference(modus_ponens,[status(thm)],[24281, 24280])).
% 50.89/33.38 tff(24283,plain,
% 50.89/33.38 (~v26(constB187)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24282, 723, 24275])).
% 50.89/33.38 tff(24284,plain,
% 50.89/33.38 (~v107(constB187)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24043, 348, 24283, 24276])).
% 50.89/33.38 tff(24285,plain,
% 50.89/33.38 (~v108(constB187)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24032, 334, 24284])).
% 50.89/33.38 tff(24286,plain,
% 50.89/33.38 (~v109(constB187)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24025, 320, 24285])).
% 50.89/33.38 tff(24287,assumption,(~v84(constB188, bitIndex2)), introduced(assumption)).
% 50.89/33.38 tff(24288,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2))),
% 50.89/33.38 inference(rewrite,[status(thm)],[])).
% 50.89/33.38 tff(24289,plain,
% 50.89/33.38 (((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2)) <=> ((~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2))),
% 50.89/33.38 inference(rewrite,[status(thm)],[])).
% 50.89/33.38 tff(24290,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2)))),
% 50.89/33.38 inference(monotonicity,[status(thm)],[24289])).
% 50.89/33.38 tff(24291,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2))),
% 50.89/33.38 inference(transitivity,[status(thm)],[24290, 24288])).
% 50.89/33.38 tff(24292,plain,
% 50.89/33.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2))),
% 50.89/33.38 inference(quant_inst,[status(thm)],[])).
% 50.89/33.38 tff(24293,plain,
% 50.89/33.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2)),
% 50.89/33.38 inference(modus_ponens,[status(thm)],[24292, 24291])).
% 50.89/33.38 tff(24294,plain,
% 50.89/33.38 ((~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24293, 576, 24055])).
% 50.89/33.38 tff(24295,plain,
% 50.89/33.38 (~v84(constB187, bitIndex2)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24294, 24273, 24287])).
% 50.89/33.38 tff(24296,assumption,(~v84(constB188, bitIndex1)), introduced(assumption)).
% 50.89/33.38 tff(24297,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB187, bitIndex1)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB187, bitIndex1)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex1))),
% 50.89/33.38 inference(rewrite,[status(thm)],[])).
% 50.89/33.38 tff(24298,plain,
% 50.89/33.38 (((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex1)) | v94(constB188) | v84(constB188, bitIndex1)) <=> ((~v84(constB187, bitIndex1)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex1))),
% 50.89/33.38 inference(rewrite,[status(thm)],[])).
% 50.89/33.38 tff(24299,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex1)) | v94(constB188) | v84(constB188, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB187, bitIndex1)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex1)))),
% 50.89/33.38 inference(monotonicity,[status(thm)],[24298])).
% 50.89/33.38 tff(24300,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex1)) | v94(constB188) | v84(constB188, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB187, bitIndex1)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex1))),
% 50.89/33.38 inference(transitivity,[status(thm)],[24299, 24297])).
% 50.89/33.38 tff(24301,plain,
% 50.89/33.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex1)) | v94(constB188) | v84(constB188, bitIndex1))),
% 50.89/33.38 inference(quant_inst,[status(thm)],[])).
% 50.89/33.38 tff(24302,plain,
% 50.89/33.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB187, bitIndex1)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex1)),
% 50.89/33.38 inference(modus_ponens,[status(thm)],[24301, 24300])).
% 50.89/33.38 tff(24303,plain,
% 50.89/33.38 ((~v84(constB187, bitIndex1)) | v94(constB188) | v84(constB188, bitIndex1)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24302, 905, 24055])).
% 50.89/33.38 tff(24304,plain,
% 50.89/33.38 (~v84(constB187, bitIndex1)),
% 50.89/33.38 inference(unit_resolution,[status(thm)],[24303, 24273, 24296])).
% 50.89/33.38 tff(24305,assumption,(~v84(constB188, bitIndex0)), introduced(assumption)).
% 50.89/33.38 tff(24306,plain,
% 50.89/33.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex0))),
% 50.89/33.39 inference(rewrite,[status(thm)],[])).
% 50.89/33.39 tff(24307,plain,
% 50.89/33.39 (((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex0)) | v94(constB188) | v84(constB188, bitIndex0)) <=> ((~v84(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex0))),
% 50.89/33.39 inference(rewrite,[status(thm)],[])).
% 50.89/33.39 tff(24308,plain,
% 50.89/33.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex0)) | v94(constB188) | v84(constB188, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex0)))),
% 50.89/33.39 inference(monotonicity,[status(thm)],[24307])).
% 50.89/33.39 tff(24309,plain,
% 50.89/33.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex0)) | v94(constB188) | v84(constB188, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex0))),
% 50.89/33.39 inference(transitivity,[status(thm)],[24308, 24306])).
% 50.89/33.39 tff(24310,plain,
% 50.89/33.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex0)) | v94(constB188) | v84(constB188, bitIndex0))),
% 50.89/33.39 inference(quant_inst,[status(thm)],[])).
% 50.89/33.39 tff(24311,plain,
% 50.89/33.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex0)),
% 50.89/33.39 inference(modus_ponens,[status(thm)],[24310, 24309])).
% 50.89/33.39 tff(24312,plain,
% 50.89/33.39 ((~v84(constB187, bitIndex0)) | v94(constB188) | v84(constB188, bitIndex0)),
% 50.89/33.39 inference(unit_resolution,[status(thm)],[24311, 1439, 24055])).
% 50.89/33.39 tff(24313,plain,
% 50.89/33.39 (~v84(constB187, bitIndex0)),
% 50.89/33.39 inference(unit_resolution,[status(thm)],[24312, 24273, 24305])).
% 50.89/33.39 tff(24314,plain,
% 50.89/33.39 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v113(constB187))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v113(constB187))),
% 50.89/33.39 inference(rewrite,[status(thm)],[])).
% 50.89/33.39 tff(24315,plain,
% 50.89/33.39 ((v84(constB187, bitIndex0) | v113(constB187) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2)) <=> (v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v113(constB187))),
% 50.89/33.39 inference(rewrite,[status(thm)],[])).
% 50.89/33.39 tff(24316,plain,
% 50.89/33.39 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB187, bitIndex0) | v113(constB187) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v113(constB187)))),
% 50.89/33.39 inference(monotonicity,[status(thm)],[24315])).
% 50.89/33.39 tff(24317,plain,
% 50.89/33.39 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB187, bitIndex0) | v113(constB187) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v113(constB187))),
% 50.89/33.39 inference(transitivity,[status(thm)],[24316, 24314])).
% 50.89/33.39 tff(24318,plain,
% 50.89/33.39 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB187, bitIndex0) | v113(constB187) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2))),
% 50.89/33.39 inference(quant_inst,[status(thm)],[])).
% 50.89/33.39 tff(24319,plain,
% 50.89/33.39 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v113(constB187)),
% 50.89/33.39 inference(modus_ponens,[status(thm)],[24318, 24317])).
% 50.89/33.39 tff(24320,plain,
% 50.89/33.39 (v113(constB187)),
% 50.89/33.39 inference(unit_resolution,[status(thm)],[24319, 205, 24313, 24304, 24295])).
% 50.89/33.39 tff(24321,plain,
% 50.89/33.39 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB187) | (~v113(constB187)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB187) | (~v113(constB187)))),
% 50.89/33.39 inference(rewrite,[status(thm)],[])).
% 50.89/33.39 tff(24322,plain,
% 50.89/33.39 (((~v113(constB187)) | v112(constB187)) <=> (v112(constB187) | (~v113(constB187)))),
% 50.89/33.39 inference(rewrite,[status(thm)],[])).
% 50.89/33.39 tff(24323,plain,
% 50.89/33.39 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB187) | (~v113(constB187))))),
% 50.89/33.39 inference(monotonicity,[status(thm)],[24322])).
% 50.89/33.39 tff(24324,plain,
% 50.89/33.39 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB187) | (~v113(constB187)))),
% 50.89/33.39 inference(transitivity,[status(thm)],[24323, 24321])).
% 50.89/33.39 tff(24325,plain,
% 50.89/33.39 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB187)) | v112(constB187))),
% 50.89/33.39 inference(quant_inst,[status(thm)],[])).
% 50.89/33.39 tff(24326,plain,
% 50.89/33.39 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB187) | (~v113(constB187))),
% 50.89/33.39 inference(modus_ponens,[status(thm)],[24325, 24324])).
% 50.89/33.39 tff(24327,plain,
% 50.89/33.39 (v112(constB187)),
% 50.89/33.39 inference(unit_resolution,[status(thm)],[24326, 267, 24320])).
% 50.89/33.39 tff(24328,plain,
% 50.89/33.39 (v111(constB187)),
% 50.89/33.39 inference(unit_resolution,[status(thm)],[24007, 278, 24327])).
% 50.89/33.39 tff(24329,plain,
% 50.89/33.39 (v110(constB187)),
% 50.89/33.39 inference(unit_resolution,[status(thm)],[24014, 292, 24328])).
% 50.89/33.39 tff(24330,plain,
% 50.89/33.39 ($false),
% 50.89/33.39 inference(unit_resolution,[status(thm)],[24021, 306, 24329, 24286])).
% 50.89/33.39 tff(24331,plain,(v94(constB188) | v84(constB188, bitIndex0) | v84(constB188, bitIndex1) | v84(constB188, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 50.89/33.39 tff(24332,plain,
% 50.89/33.39 (v94(constB188)),
% 50.89/33.39 inference(unit_resolution,[status(thm)],[24331, 24262, 24272, 24271])).
% 50.89/33.39 tff(24333,plain,
% 50.89/33.39 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~v123(constB188, bitIndex0)) | (~v94(constB188)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~v123(constB188, bitIndex0)) | (~v94(constB188)))),
% 50.89/33.39 inference(rewrite,[status(thm)],[])).
% 50.89/33.39 tff(24334,plain,
% 50.89/33.39 ((v84(constB188, bitIndex0) | (~v94(constB188)) | (~v123(constB188, bitIndex0))) <=> (v84(constB188, bitIndex0) | (~v123(constB188, bitIndex0)) | (~v94(constB188)))),
% 50.89/33.39 inference(rewrite,[status(thm)],[])).
% 50.89/33.39 tff(24335,plain,
% 50.89/33.39 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~v94(constB188)) | (~v123(constB188, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~v123(constB188, bitIndex0)) | (~v94(constB188))))),
% 50.92/33.39 inference(monotonicity,[status(thm)],[24334])).
% 50.92/33.39 tff(24336,plain,
% 50.92/33.39 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~v94(constB188)) | (~v123(constB188, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~v123(constB188, bitIndex0)) | (~v94(constB188)))),
% 50.92/33.39 inference(transitivity,[status(thm)],[24335, 24333])).
% 50.92/33.39 tff(24337,plain,
% 50.92/33.39 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~v94(constB188)) | (~v123(constB188, bitIndex0)))),
% 50.92/33.39 inference(quant_inst,[status(thm)],[])).
% 50.92/33.39 tff(24338,plain,
% 50.92/33.39 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~v123(constB188, bitIndex0)) | (~v94(constB188))),
% 50.92/33.39 inference(modus_ponens,[status(thm)],[24337, 24336])).
% 50.92/33.39 tff(24339,plain,
% 50.92/33.39 (~v123(constB188, bitIndex0)),
% 50.92/33.39 inference(unit_resolution,[status(thm)],[24338, 1421, 24332, 24262])).
% 50.92/33.39 tff(24340,plain,
% 50.92/33.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB187, constB188)) | (~v121(constB187, bitIndex0)) | v123(constB188, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB187, constB188)) | (~v121(constB187, bitIndex0)) | v123(constB188, bitIndex0))),
% 50.92/33.39 inference(rewrite,[status(thm)],[])).
% 50.92/33.39 tff(24341,plain,
% 50.92/33.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB187, constB188)) | (~v121(constB187, bitIndex0)) | v123(constB188, bitIndex0))),
% 50.92/33.39 inference(quant_inst,[status(thm)],[])).
% 50.92/33.39 tff(24342,plain,
% 50.92/33.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB187, constB188)) | (~v121(constB187, bitIndex0)) | v123(constB188, bitIndex0)),
% 50.92/33.39 inference(modus_ponens,[status(thm)],[24341, 24340])).
% 50.92/33.39 tff(24343,plain,
% 50.92/33.39 ((~v121(constB187, bitIndex0)) | v123(constB188, bitIndex0)),
% 50.92/33.39 inference(unit_resolution,[status(thm)],[24342, 1406, 24055])).
% 50.92/33.39 tff(24344,plain,
% 50.92/33.39 (~v121(constB187, bitIndex0)),
% 50.92/33.39 inference(unit_resolution,[status(thm)],[24343, 24339])).
% 50.92/33.39 tff(24345,plain,
% 50.92/33.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB187) | (~v124(constB187, bitIndex0)) | v121(constB187, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB187) | (~v124(constB187, bitIndex0)) | v121(constB187, bitIndex0))),
% 50.92/33.39 inference(rewrite,[status(thm)],[])).
% 50.92/33.39 tff(24346,plain,
% 50.92/33.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB187) | (~v124(constB187, bitIndex0)) | v121(constB187, bitIndex0))),
% 50.92/33.39 inference(quant_inst,[status(thm)],[])).
% 50.92/33.39 tff(24347,plain,
% 50.92/33.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB187) | (~v124(constB187, bitIndex0)) | v121(constB187, bitIndex0)),
% 50.92/33.39 inference(modus_ponens,[status(thm)],[24346, 24345])).
% 50.92/33.39 tff(24348,plain,
% 50.92/33.39 ((~v124(constB187, bitIndex0)) | v121(constB187, bitIndex0)),
% 50.92/33.39 inference(unit_resolution,[status(thm)],[24347, 1391, 24037])).
% 50.92/33.39 tff(24349,plain,
% 50.92/33.39 (~v124(constB187, bitIndex0)),
% 50.92/33.39 inference(unit_resolution,[status(thm)],[24348, 24344])).
% 50.92/33.39 tff(24350,plain,
% 50.92/33.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB187)) | v124(constB187, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB187)) | v124(constB187, bitIndex0))),
% 50.92/33.39 inference(rewrite,[status(thm)],[])).
% 50.92/33.39 tff(24351,plain,
% 50.92/33.39 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB187)) | v124(constB187, bitIndex0))),
% 50.92/33.39 inference(quant_inst,[status(thm)],[])).
% 50.92/33.39 tff(24352,plain,
% 50.92/33.39 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB187)) | v124(constB187, bitIndex0)),
% 50.92/33.39 inference(modus_ponens,[status(thm)],[24351, 24350])).
% 50.92/33.39 tff(24353,plain,
% 50.92/33.39 (~v115(constB187)),
% 50.92/33.39 inference(unit_resolution,[status(thm)],[24352, 1784, 24349])).
% 50.92/33.39 tff(24354,plain,
% 50.92/33.39 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB187)) | v124(constB187, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB187)) | v124(constB187, bitIndex0))),
% 50.92/33.39 inference(rewrite,[status(thm)],[])).
% 50.92/33.39 tff(24355,plain,
% 50.92/33.39 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB187)) | v124(constB187, bitIndex0))),
% 50.92/33.39 inference(quant_inst,[status(thm)],[])).
% 50.92/33.39 tff(24356,plain,
% 50.92/33.39 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB187)) | v124(constB187, bitIndex0)),
% 50.92/33.39 inference(modus_ponens,[status(thm)],[24355, 24354])).
% 50.92/33.39 tff(24357,plain,
% 50.92/33.39 (~v118(constB187)),
% 50.92/33.39 inference(unit_resolution,[status(thm)],[24356, 4562, 24349])).
% 50.92/33.39 tff(24358,plain,
% 50.92/33.39 (~v123(constB188, bitIndex1)),
% 50.92/33.39 inference(unit_resolution,[status(thm)],[24158, 887, 24332, 24272])).
% 50.92/33.39 tff(24359,plain,
% 50.92/33.39 (~v121(constB187, bitIndex1)),
% 50.92/33.39 inference(unit_resolution,[status(thm)],[24151, 24358])).
% 50.92/33.39 tff(24360,plain,
% 50.92/33.39 (~v124(constB187, bitIndex1)),
% 50.92/33.39 inference(unit_resolution,[status(thm)],[24146, 24359])).
% 50.92/33.39 tff(24361,plain,
% 50.92/33.39 (~v145(constB187)),
% 50.92/33.39 inference(unit_resolution,[status(thm)],[24141, 1512, 24360])).
% 50.92/33.39 tff(24362,plain,
% 50.92/33.39 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188)))),
% 50.92/33.39 inference(rewrite,[status(thm)],[])).
% 50.92/33.39 tff(24363,plain,
% 50.92/33.39 ((v84(constB188, bitIndex2) | (~v94(constB188)) | (~v123(constB188, bitIndex2))) <=> (v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188)))),
% 50.92/33.39 inference(rewrite,[status(thm)],[])).
% 50.92/33.39 tff(24364,plain,
% 50.92/33.39 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v94(constB188)) | (~v123(constB188, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188))))),
% 50.92/33.39 inference(monotonicity,[status(thm)],[24363])).
% 50.92/33.39 tff(24365,plain,
% 50.92/33.39 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v94(constB188)) | (~v123(constB188, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188)))),
% 50.92/33.39 inference(transitivity,[status(thm)],[24364, 24362])).
% 50.92/33.39 tff(24366,plain,
% 50.92/33.39 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v94(constB188)) | (~v123(constB188, bitIndex2)))),
% 50.92/33.39 inference(quant_inst,[status(thm)],[])).
% 50.92/33.39 tff(24367,plain,
% 50.92/33.39 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188))),
% 50.92/33.39 inference(modus_ponens,[status(thm)],[24366, 24365])).
% 50.92/33.39 tff(24368,plain,
% 50.92/33.39 ((~v123(constB188, bitIndex2)) | (~v94(constB188))),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24367, 405, 24271])).
% 50.92/33.40 tff(24369,plain,
% 50.92/33.40 (~v123(constB188, bitIndex2)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24368, 24332])).
% 50.92/33.40 tff(24370,plain,
% 50.92/33.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24371,plain,
% 50.92/33.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2))),
% 50.92/33.40 inference(quant_inst,[status(thm)],[])).
% 50.92/33.40 tff(24372,plain,
% 50.92/33.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2)),
% 50.92/33.40 inference(modus_ponens,[status(thm)],[24371, 24370])).
% 50.92/33.40 tff(24373,plain,
% 50.92/33.40 ((~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24372, 389, 24055])).
% 50.92/33.40 tff(24374,plain,
% 50.92/33.40 (~v121(constB187, bitIndex2)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24373, 24369])).
% 50.92/33.40 tff(24375,plain,
% 50.92/33.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB187) | (~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB187) | (~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24376,plain,
% 50.92/33.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB187) | (~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2))),
% 50.92/33.40 inference(quant_inst,[status(thm)],[])).
% 50.92/33.40 tff(24377,plain,
% 50.92/33.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB187) | (~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2)),
% 50.92/33.40 inference(modus_ponens,[status(thm)],[24376, 24375])).
% 50.92/33.40 tff(24378,plain,
% 50.92/33.40 ((~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24377, 374, 24037])).
% 50.92/33.40 tff(24379,plain,
% 50.92/33.40 (~v124(constB187, bitIndex2)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24378, 24374])).
% 50.92/33.40 tff(24380,plain,
% 50.92/33.40 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB187)) | v124(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB187)) | v124(constB187, bitIndex2))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24381,plain,
% 50.92/33.40 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB187)) | v124(constB187, bitIndex2))),
% 50.92/33.40 inference(quant_inst,[status(thm)],[])).
% 50.92/33.40 tff(24382,plain,
% 50.92/33.40 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB187)) | v124(constB187, bitIndex2)),
% 50.92/33.40 inference(modus_ponens,[status(thm)],[24381, 24380])).
% 50.92/33.40 tff(24383,plain,
% 50.92/33.40 (~v113(constB187)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24382, 360, 24379])).
% 50.92/33.40 tff(24384,plain,
% 50.92/33.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB187)) | v124(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB187)) | v124(constB187, bitIndex2))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24385,plain,
% 50.92/33.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB187)) | v124(constB187, bitIndex2))),
% 50.92/33.40 inference(quant_inst,[status(thm)],[])).
% 50.92/33.40 tff(24386,plain,
% 50.92/33.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB187)) | v124(constB187, bitIndex2)),
% 50.92/33.40 inference(modus_ponens,[status(thm)],[24385, 24384])).
% 50.92/33.40 tff(24387,plain,
% 50.92/33.40 (~v116(constB187)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24386, 1923, 24379])).
% 50.92/33.40 tff(24388,plain,
% 50.92/33.40 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB187)) | v124(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB187)) | v124(constB187, bitIndex2))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24389,plain,
% 50.92/33.40 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB187)) | v124(constB187, bitIndex2))),
% 50.92/33.40 inference(quant_inst,[status(thm)],[])).
% 50.92/33.40 tff(24390,plain,
% 50.92/33.40 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB187)) | v124(constB187, bitIndex2)),
% 50.92/33.40 inference(modus_ponens,[status(thm)],[24389, 24388])).
% 50.92/33.40 tff(24391,plain,
% 50.92/33.40 (~v172(constB187)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24390, 691, 24379])).
% 50.92/33.40 tff(24392,plain,
% 50.92/33.40 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB187) | v172(constB187) | v118(constB187) | v116(constB187) | v115(constB187) | v113(constB187) | v124(constB187, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB187) | v172(constB187) | v118(constB187) | v116(constB187) | v115(constB187) | v113(constB187) | v124(constB187, bitIndex0))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24393,plain,
% 50.92/33.40 ((v113(constB187) | v145(constB187) | v115(constB187) | v116(constB187) | v172(constB187) | v118(constB187) | v124(constB187, bitIndex0)) <=> (v145(constB187) | v172(constB187) | v118(constB187) | v116(constB187) | v115(constB187) | v113(constB187) | v124(constB187, bitIndex0))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24394,plain,
% 50.92/33.40 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB187) | v145(constB187) | v115(constB187) | v116(constB187) | v172(constB187) | v118(constB187) | v124(constB187, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB187) | v172(constB187) | v118(constB187) | v116(constB187) | v115(constB187) | v113(constB187) | v124(constB187, bitIndex0)))),
% 50.92/33.40 inference(monotonicity,[status(thm)],[24393])).
% 50.92/33.40 tff(24395,plain,
% 50.92/33.40 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB187) | v145(constB187) | v115(constB187) | v116(constB187) | v172(constB187) | v118(constB187) | v124(constB187, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB187) | v172(constB187) | v118(constB187) | v116(constB187) | v115(constB187) | v113(constB187) | v124(constB187, bitIndex0))),
% 50.92/33.40 inference(transitivity,[status(thm)],[24394, 24392])).
% 50.92/33.40 tff(24396,plain,
% 50.92/33.40 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB187) | v145(constB187) | v115(constB187) | v116(constB187) | v172(constB187) | v118(constB187) | v124(constB187, bitIndex0))),
% 50.92/33.40 inference(quant_inst,[status(thm)],[])).
% 50.92/33.40 tff(24397,plain,
% 50.92/33.40 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB187) | v172(constB187) | v118(constB187) | v116(constB187) | v115(constB187) | v113(constB187) | v124(constB187, bitIndex0)),
% 50.92/33.40 inference(modus_ponens,[status(thm)],[24396, 24395])).
% 50.92/33.40 tff(24398,plain,
% 50.92/33.40 (v145(constB187) | v118(constB187) | v115(constB187)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24397, 1374, 24349, 24391, 24387, 24383])).
% 50.92/33.40 tff(24399,plain,
% 50.92/33.40 ($false),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24398, 24361, 24357, 24353])).
% 50.92/33.40 tff(24400,plain,(v84(constB189, bitIndex1) | v145(constB189) | v84(constB189, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.40 tff(24401,plain,
% 50.92/33.40 (v84(constB189, bitIndex1)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24400, 24247, 24238])).
% 50.92/33.40 tff(24402,assumption,(~v84(constB190, bitIndex0)), introduced(assumption)).
% 50.92/33.40 tff(24403,plain,
% 50.92/33.40 (~v84(constB189, bitIndex2)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24246, 24237, 24239])).
% 50.92/33.40 tff(24404,plain,
% 50.92/33.40 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190)))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24405,plain,
% 50.92/33.40 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190)))),
% 50.92/33.40 inference(quant_inst,[status(thm)],[])).
% 50.92/33.40 tff(24406,plain,
% 50.92/33.40 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190))),
% 50.92/33.40 inference(modus_ponens,[status(thm)],[24405, 24404])).
% 50.92/33.40 tff(24407,plain,
% 50.92/33.40 (~v98(constB190)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24406, 423, 24226, 24114])).
% 50.92/33.40 tff(24408,plain,
% 50.92/33.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB189, constB190)) | v96(constB190) | v98(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB189, constB190)) | v96(constB190) | v98(constB190))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24409,plain,
% 50.92/33.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB189, constB190)) | v96(constB190) | v98(constB190))),
% 50.92/33.40 inference(quant_inst,[status(thm)],[])).
% 50.92/33.40 tff(24410,plain,
% 50.92/33.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB189, constB190)) | v96(constB190) | v98(constB190)),
% 50.92/33.40 inference(modus_ponens,[status(thm)],[24409, 24408])).
% 50.92/33.40 tff(24411,plain,
% 50.92/33.40 (v96(constB190) | v98(constB190)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24410, 437, 24226])).
% 50.92/33.40 tff(24412,plain,
% 50.92/33.40 (v96(constB190)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24411, 24407])).
% 50.92/33.40 tff(24413,plain,
% 50.92/33.40 (v1(constB190) <=> v1(constB190)),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24414,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 50.92/33.40 tff(24415,plain,
% 50.92/33.40 (v1(constB190)),
% 50.92/33.40 inference(modus_ponens,[status(thm)],[24414, 24413])).
% 50.92/33.40 tff(24416,plain,
% 50.92/33.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190)))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24417,plain,
% 50.92/33.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190)))),
% 50.92/33.40 inference(quant_inst,[status(thm)],[])).
% 50.92/33.40 tff(24418,plain,
% 50.92/33.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190))),
% 50.92/33.40 inference(modus_ponens,[status(thm)],[24417, 24416])).
% 50.92/33.40 tff(24419,plain,
% 50.92/33.40 (v95(constB190) | (~v96(constB190))),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24418, 455, 24226, 24415])).
% 50.92/33.40 tff(24420,plain,
% 50.92/33.40 (v95(constB190)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24419, 24412])).
% 50.92/33.40 tff(24421,plain,
% 50.92/33.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24422,plain,
% 50.92/33.40 (((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190)) <=> ((~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24423,plain,
% 50.92/33.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190))))),
% 50.92/33.40 inference(monotonicity,[status(thm)],[24422])).
% 50.92/33.40 tff(24424,plain,
% 50.92/33.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))),
% 50.92/33.40 inference(transitivity,[status(thm)],[24423, 24421])).
% 50.92/33.40 tff(24425,plain,
% 50.92/33.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190))),
% 50.92/33.40 inference(quant_inst,[status(thm)],[])).
% 50.92/33.40 tff(24426,plain,
% 50.92/33.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190))),
% 50.92/33.40 inference(modus_ponens,[status(thm)],[24425, 24424])).
% 50.92/33.40 tff(24427,plain,
% 50.92/33.40 (v94(constB190) | (~v95(constB190)) | (~v104(constB190))),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24426, 470, 24226])).
% 50.92/33.40 tff(24428,plain,
% 50.92/33.40 (v94(constB190) | (~v104(constB190))),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24427, 24420])).
% 50.92/33.40 tff(24429,plain,
% 50.92/33.40 (~v104(constB190)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24428, 24237])).
% 50.92/33.40 tff(24430,plain,
% 50.92/33.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24431,plain,
% 50.92/33.40 (((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190)) <=> ((~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24432,plain,
% 50.92/33.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189))))),
% 50.92/33.40 inference(monotonicity,[status(thm)],[24431])).
% 50.92/33.40 tff(24433,plain,
% 50.92/33.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))),
% 50.92/33.40 inference(transitivity,[status(thm)],[24432, 24430])).
% 50.92/33.40 tff(24434,plain,
% 50.92/33.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190))),
% 50.92/33.40 inference(quant_inst,[status(thm)],[])).
% 50.92/33.40 tff(24435,plain,
% 50.92/33.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189))),
% 50.92/33.40 inference(modus_ponens,[status(thm)],[24434, 24433])).
% 50.92/33.40 tff(24436,plain,
% 50.92/33.40 (v104(constB190) | (~v102(constB189))),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24435, 489, 24226])).
% 50.92/33.40 tff(24437,plain,
% 50.92/33.40 (~v102(constB189)),
% 50.92/33.40 inference(unit_resolution,[status(thm)],[24436, 24429])).
% 50.92/33.40 tff(24438,plain,
% 50.92/33.40 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB189) | (~v106(constB189)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB189) | (~v106(constB189)))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24439,plain,
% 50.92/33.40 (((~v106(constB189)) | v102(constB189)) <=> (v102(constB189) | (~v106(constB189)))),
% 50.92/33.40 inference(rewrite,[status(thm)],[])).
% 50.92/33.40 tff(24440,plain,
% 50.92/33.40 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB189)) | v102(constB189))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB189) | (~v106(constB189))))),
% 50.92/33.40 inference(monotonicity,[status(thm)],[24439])).
% 50.92/33.40 tff(24441,plain,
% 50.92/33.40 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB189)) | v102(constB189))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB189) | (~v106(constB189)))),
% 50.92/33.40 inference(transitivity,[status(thm)],[24440, 24438])).
% 50.92/33.40 tff(24442,plain,
% 50.92/33.40 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB189)) | v102(constB189))),
% 50.92/33.41 inference(quant_inst,[status(thm)],[])).
% 50.92/33.41 tff(24443,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB189) | (~v106(constB189))),
% 50.92/33.41 inference(modus_ponens,[status(thm)],[24442, 24441])).
% 50.92/33.41 tff(24444,plain,
% 50.92/33.41 (~v106(constB189)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24443, 504, 24437])).
% 50.92/33.41 tff(24445,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB189) | (~v26(constB189)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB189) | (~v26(constB189)))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24446,plain,
% 50.92/33.41 (((~v26(constB189)) | v102(constB189)) <=> (v102(constB189) | (~v26(constB189)))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24447,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB189)) | v102(constB189))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB189) | (~v26(constB189))))),
% 50.92/33.41 inference(monotonicity,[status(thm)],[24446])).
% 50.92/33.41 tff(24448,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB189)) | v102(constB189))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB189) | (~v26(constB189)))),
% 50.92/33.41 inference(transitivity,[status(thm)],[24447, 24445])).
% 50.92/33.41 tff(24449,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB189)) | v102(constB189))),
% 50.92/33.41 inference(quant_inst,[status(thm)],[])).
% 50.92/33.41 tff(24450,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB189) | (~v26(constB189))),
% 50.92/33.41 inference(modus_ponens,[status(thm)],[24449, 24448])).
% 50.92/33.41 tff(24451,plain,
% 50.92/33.41 (~v26(constB189)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24450, 723, 24437])).
% 50.92/33.41 tff(24452,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB189) | (~v107(constB189)) | v106(constB189))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB189) | (~v107(constB189)) | v106(constB189))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24453,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB189) | (~v107(constB189)) | v106(constB189))),
% 50.92/33.41 inference(quant_inst,[status(thm)],[])).
% 50.92/33.41 tff(24454,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB189) | (~v107(constB189)) | v106(constB189)),
% 50.92/33.41 inference(modus_ponens,[status(thm)],[24453, 24452])).
% 50.92/33.41 tff(24455,plain,
% 50.92/33.41 (~v107(constB189)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24454, 348, 24451, 24444])).
% 50.92/33.41 tff(24456,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB189) | (~v108(constB189)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB189) | (~v108(constB189)))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24457,plain,
% 50.92/33.41 (((~v108(constB189)) | v107(constB189)) <=> (v107(constB189) | (~v108(constB189)))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24458,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB189)) | v107(constB189))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB189) | (~v108(constB189))))),
% 50.92/33.41 inference(monotonicity,[status(thm)],[24457])).
% 50.92/33.41 tff(24459,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB189)) | v107(constB189))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB189) | (~v108(constB189)))),
% 50.92/33.41 inference(transitivity,[status(thm)],[24458, 24456])).
% 50.92/33.41 tff(24460,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB189)) | v107(constB189))),
% 50.92/33.41 inference(quant_inst,[status(thm)],[])).
% 50.92/33.41 tff(24461,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB189) | (~v108(constB189))),
% 50.92/33.41 inference(modus_ponens,[status(thm)],[24460, 24459])).
% 50.92/33.41 tff(24462,plain,
% 50.92/33.41 (~v108(constB189)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24461, 334, 24455])).
% 50.92/33.41 tff(24463,plain,
% 50.92/33.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB189, bitIndex0)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB189, bitIndex0)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex0))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24464,plain,
% 50.92/33.41 (((~nextState(constB189, constB190)) | (~v84(constB189, bitIndex0)) | v94(constB190) | v84(constB190, bitIndex0)) <=> ((~v84(constB189, bitIndex0)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex0))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24465,plain,
% 50.92/33.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v84(constB189, bitIndex0)) | v94(constB190) | v84(constB190, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB189, bitIndex0)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex0)))),
% 50.92/33.41 inference(monotonicity,[status(thm)],[24464])).
% 50.92/33.41 tff(24466,plain,
% 50.92/33.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v84(constB189, bitIndex0)) | v94(constB190) | v84(constB190, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB189, bitIndex0)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex0))),
% 50.92/33.41 inference(transitivity,[status(thm)],[24465, 24463])).
% 50.92/33.41 tff(24467,plain,
% 50.92/33.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v84(constB189, bitIndex0)) | v94(constB190) | v84(constB190, bitIndex0))),
% 50.92/33.41 inference(quant_inst,[status(thm)],[])).
% 50.92/33.41 tff(24468,plain,
% 50.92/33.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB189, bitIndex0)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex0)),
% 50.92/33.41 inference(modus_ponens,[status(thm)],[24467, 24466])).
% 50.92/33.41 tff(24469,plain,
% 50.92/33.41 ((~v84(constB189, bitIndex0)) | v94(constB190) | v84(constB190, bitIndex0)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24468, 1439, 24226])).
% 50.92/33.41 tff(24470,plain,
% 50.92/33.41 (~v84(constB189, bitIndex0)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24469, 24237, 24402])).
% 50.92/33.41 tff(24471,assumption,(v84(constB190, bitIndex1)), introduced(assumption)).
% 50.92/33.41 tff(24472,plain,
% 50.92/33.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB189, bitIndex1) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB189, bitIndex1) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex1)))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24473,plain,
% 50.92/33.41 (((~nextState(constB189, constB190)) | v84(constB189, bitIndex1) | v94(constB190) | (~v84(constB190, bitIndex1))) <=> (v84(constB189, bitIndex1) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex1)))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24474,plain,
% 50.92/33.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v84(constB189, bitIndex1) | v94(constB190) | (~v84(constB190, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB189, bitIndex1) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex1))))),
% 50.92/33.41 inference(monotonicity,[status(thm)],[24473])).
% 50.92/33.41 tff(24475,plain,
% 50.92/33.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v84(constB189, bitIndex1) | v94(constB190) | (~v84(constB190, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB189, bitIndex1) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex1)))),
% 50.92/33.41 inference(transitivity,[status(thm)],[24474, 24472])).
% 50.92/33.41 tff(24476,plain,
% 50.92/33.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v84(constB189, bitIndex1) | v94(constB190) | (~v84(constB190, bitIndex1)))),
% 50.92/33.41 inference(quant_inst,[status(thm)],[])).
% 50.92/33.41 tff(24477,plain,
% 50.92/33.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB189, bitIndex1) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex1))),
% 50.92/33.41 inference(modus_ponens,[status(thm)],[24476, 24475])).
% 50.92/33.41 tff(24478,plain,
% 50.92/33.41 (v84(constB189, bitIndex1) | v94(constB190) | (~v84(constB190, bitIndex1))),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24477, 163, 24226])).
% 50.92/33.41 tff(24479,plain,
% 50.92/33.41 (v84(constB189, bitIndex1)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24478, 24237, 24471])).
% 50.92/33.41 tff(24480,plain,
% 50.92/33.41 (v84(constB189, bitIndex0) | (~v84(constB189, bitIndex1)) | v115(constB189)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24206, 1594, 24236])).
% 50.92/33.41 tff(24481,plain,
% 50.92/33.41 (v115(constB189)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24480, 24470, 24479])).
% 50.92/33.41 tff(24482,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB189)) | v111(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB189)) | v111(constB189))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24483,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB189)) | v111(constB189))),
% 50.92/33.41 inference(quant_inst,[status(thm)],[])).
% 50.92/33.41 tff(24484,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB189)) | v111(constB189)),
% 50.92/33.41 inference(modus_ponens,[status(thm)],[24483, 24482])).
% 50.92/33.41 tff(24485,plain,
% 50.92/33.41 (v111(constB189)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24484, 1605, 24481])).
% 50.92/33.41 tff(24486,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB189) | (~v111(constB189)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB189) | (~v111(constB189)))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24487,plain,
% 50.92/33.41 (((~v111(constB189)) | v110(constB189)) <=> (v110(constB189) | (~v111(constB189)))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24488,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB189)) | v110(constB189))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB189) | (~v111(constB189))))),
% 50.92/33.41 inference(monotonicity,[status(thm)],[24487])).
% 50.92/33.41 tff(24489,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB189)) | v110(constB189))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB189) | (~v111(constB189)))),
% 50.92/33.41 inference(transitivity,[status(thm)],[24488, 24486])).
% 50.92/33.41 tff(24490,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB189)) | v110(constB189))),
% 50.92/33.41 inference(quant_inst,[status(thm)],[])).
% 50.92/33.41 tff(24491,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB189) | (~v111(constB189))),
% 50.92/33.41 inference(modus_ponens,[status(thm)],[24490, 24489])).
% 50.92/33.41 tff(24492,plain,
% 50.92/33.41 (v110(constB189)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24491, 292, 24485])).
% 50.92/33.41 tff(24493,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB189) | (~v110(constB189)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB189) | (~v110(constB189)))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24494,plain,
% 50.92/33.41 (((~v110(constB189)) | v109(constB189)) <=> (v109(constB189) | (~v110(constB189)))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24495,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB189)) | v109(constB189))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB189) | (~v110(constB189))))),
% 50.92/33.41 inference(monotonicity,[status(thm)],[24494])).
% 50.92/33.41 tff(24496,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB189)) | v109(constB189))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB189) | (~v110(constB189)))),
% 50.92/33.41 inference(transitivity,[status(thm)],[24495, 24493])).
% 50.92/33.41 tff(24497,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB189)) | v109(constB189))),
% 50.92/33.41 inference(quant_inst,[status(thm)],[])).
% 50.92/33.41 tff(24498,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB189) | (~v110(constB189))),
% 50.92/33.41 inference(modus_ponens,[status(thm)],[24497, 24496])).
% 50.92/33.41 tff(24499,plain,
% 50.92/33.41 (v109(constB189)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24498, 306, 24492])).
% 50.92/33.41 tff(24500,plain,
% 50.92/33.41 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB189)) | v108(constB189))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24501,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB189)) | v108(constB189))),
% 50.92/33.41 inference(quant_inst,[status(thm)],[])).
% 50.92/33.41 tff(24502,plain,
% 50.92/33.41 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB189)) | v108(constB189)),
% 50.92/33.41 inference(modus_ponens,[status(thm)],[24501, 24500])).
% 50.92/33.41 tff(24503,plain,
% 50.92/33.41 ($false),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24502, 320, 24499, 24462])).
% 50.92/33.41 tff(24504,plain,(v94(constB190) | v84(constB189, bitIndex2) | v84(constB190, bitIndex0) | (~v84(constB190, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.41 tff(24505,plain,
% 50.92/33.41 (~v84(constB190, bitIndex1)),
% 50.92/33.41 inference(unit_resolution,[status(thm)],[24504, 24237, 24236, 24402])).
% 50.92/33.41 tff(24506,plain,
% 50.92/33.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB189, bitIndex1)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB189, bitIndex1)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex1))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24507,plain,
% 50.92/33.41 (((~nextState(constB189, constB190)) | (~v84(constB189, bitIndex1)) | v94(constB190) | v84(constB190, bitIndex1)) <=> ((~v84(constB189, bitIndex1)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex1))),
% 50.92/33.41 inference(rewrite,[status(thm)],[])).
% 50.92/33.41 tff(24508,plain,
% 50.92/33.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v84(constB189, bitIndex1)) | v94(constB190) | v84(constB190, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB189, bitIndex1)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex1)))),
% 50.92/33.41 inference(monotonicity,[status(thm)],[24507])).
% 50.92/33.41 tff(24509,plain,
% 50.92/33.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v84(constB189, bitIndex1)) | v94(constB190) | v84(constB190, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB189, bitIndex1)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex1))),
% 50.92/33.42 inference(transitivity,[status(thm)],[24508, 24506])).
% 50.92/33.42 tff(24510,plain,
% 50.92/33.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v84(constB189, bitIndex1)) | v94(constB190) | v84(constB190, bitIndex1))),
% 50.92/33.42 inference(quant_inst,[status(thm)],[])).
% 50.92/33.42 tff(24511,plain,
% 50.92/33.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB189, bitIndex1)) | (~nextState(constB189, constB190)) | v94(constB190) | v84(constB190, bitIndex1)),
% 50.92/33.42 inference(modus_ponens,[status(thm)],[24510, 24509])).
% 50.92/33.42 tff(24512,plain,
% 50.92/33.42 ((~v84(constB189, bitIndex1)) | v94(constB190) | v84(constB190, bitIndex1)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24511, 905, 24226])).
% 50.92/33.42 tff(24513,plain,
% 50.92/33.42 (~v84(constB189, bitIndex1)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24512, 24505, 24237])).
% 50.92/33.42 tff(24514,plain,
% 50.92/33.42 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2) | v113(constB189))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2) | v113(constB189))),
% 50.92/33.42 inference(rewrite,[status(thm)],[])).
% 50.92/33.42 tff(24515,plain,
% 50.92/33.42 ((v84(constB189, bitIndex0) | v113(constB189) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2)) <=> (v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2) | v113(constB189))),
% 50.92/33.42 inference(rewrite,[status(thm)],[])).
% 50.92/33.42 tff(24516,plain,
% 50.92/33.42 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB189, bitIndex0) | v113(constB189) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2) | v113(constB189)))),
% 50.92/33.42 inference(monotonicity,[status(thm)],[24515])).
% 50.92/33.42 tff(24517,plain,
% 50.92/33.42 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB189, bitIndex0) | v113(constB189) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2) | v113(constB189))),
% 50.92/33.42 inference(transitivity,[status(thm)],[24516, 24514])).
% 50.92/33.42 tff(24518,plain,
% 50.92/33.42 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB189, bitIndex0) | v113(constB189) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2))),
% 50.92/33.42 inference(quant_inst,[status(thm)],[])).
% 50.92/33.42 tff(24519,plain,
% 50.92/33.42 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | v84(constB189, bitIndex2) | v113(constB189)),
% 50.92/33.42 inference(modus_ponens,[status(thm)],[24518, 24517])).
% 50.92/33.42 tff(24520,plain,
% 50.92/33.42 (v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | v113(constB189)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24519, 205, 24236])).
% 50.92/33.42 tff(24521,plain,
% 50.92/33.42 (v113(constB189)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24520, 24513, 24470])).
% 50.92/33.42 tff(24522,plain,
% 50.92/33.42 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB189)) | v112(constB189))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB189)) | v112(constB189))),
% 50.92/33.42 inference(rewrite,[status(thm)],[])).
% 50.92/33.42 tff(24523,plain,
% 50.92/33.42 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB189)) | v112(constB189))),
% 50.92/33.42 inference(quant_inst,[status(thm)],[])).
% 50.92/33.42 tff(24524,plain,
% 50.92/33.42 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB189)) | v112(constB189)),
% 50.92/33.42 inference(modus_ponens,[status(thm)],[24523, 24522])).
% 50.92/33.42 tff(24525,plain,
% 50.92/33.42 (v112(constB189)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24524, 267, 24521])).
% 50.92/33.42 tff(24526,plain,
% 50.92/33.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB189) | (~v112(constB189)))),
% 50.92/33.42 inference(rewrite,[status(thm)],[])).
% 50.92/33.42 tff(24527,plain,
% 50.92/33.42 (((~v112(constB189)) | v111(constB189)) <=> (v111(constB189) | (~v112(constB189)))),
% 50.92/33.42 inference(rewrite,[status(thm)],[])).
% 50.92/33.42 tff(24528,plain,
% 50.92/33.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB189)) | v111(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB189) | (~v112(constB189))))),
% 50.92/33.42 inference(monotonicity,[status(thm)],[24527])).
% 50.92/33.42 tff(24529,plain,
% 50.92/33.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB189)) | v111(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB189) | (~v112(constB189)))),
% 50.92/33.42 inference(transitivity,[status(thm)],[24528, 24526])).
% 50.92/33.42 tff(24530,plain,
% 50.92/33.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB189)) | v111(constB189))),
% 50.92/33.42 inference(quant_inst,[status(thm)],[])).
% 50.92/33.42 tff(24531,plain,
% 50.92/33.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB189) | (~v112(constB189))),
% 50.92/33.42 inference(modus_ponens,[status(thm)],[24530, 24529])).
% 50.92/33.42 tff(24532,plain,
% 50.92/33.42 (v111(constB189)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24531, 278, 24525])).
% 50.92/33.42 tff(24533,plain,
% 50.92/33.42 (v110(constB189)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24491, 292, 24532])).
% 50.92/33.42 tff(24534,plain,
% 50.92/33.42 (v109(constB189)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24498, 306, 24533])).
% 50.92/33.42 tff(24535,plain,
% 50.92/33.42 ($false),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24502, 320, 24534, 24462])).
% 50.92/33.42 tff(24536,plain,(v94(constB190) | v84(constB189, bitIndex2) | v84(constB190, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.42 tff(24537,plain,
% 50.92/33.42 ($false),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24536, 24403, 24237, 24402])).
% 50.92/33.42 tff(24538,plain,(v94(constB190) | v84(constB190, bitIndex0) | v84(constB190, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.42 tff(24539,plain,
% 50.92/33.42 (v84(constB190, bitIndex0)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24538, 24239, 24237])).
% 50.92/33.42 tff(24540,plain,
% 50.92/33.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex0)))),
% 50.92/33.42 inference(rewrite,[status(thm)],[])).
% 50.92/33.42 tff(24541,plain,
% 50.92/33.42 (((~nextState(constB189, constB190)) | v84(constB189, bitIndex0) | v94(constB190) | (~v84(constB190, bitIndex0))) <=> (v84(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex0)))),
% 50.92/33.42 inference(rewrite,[status(thm)],[])).
% 50.92/33.42 tff(24542,plain,
% 50.92/33.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB189, constB190)) | v84(constB189, bitIndex0) | v94(constB190) | (~v84(constB190, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex0))))),
% 50.92/33.42 inference(monotonicity,[status(thm)],[24541])).
% 50.92/33.42 tff(24543,plain,
% 50.92/33.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB189, constB190)) | v84(constB189, bitIndex0) | v94(constB190) | (~v84(constB190, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex0)))),
% 50.92/33.42 inference(transitivity,[status(thm)],[24542, 24540])).
% 50.92/33.42 tff(24544,plain,
% 50.92/33.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB189, constB190)) | v84(constB189, bitIndex0) | v94(constB190) | (~v84(constB190, bitIndex0)))),
% 50.92/33.42 inference(quant_inst,[status(thm)],[])).
% 50.92/33.42 tff(24545,plain,
% 50.92/33.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex0))),
% 50.92/33.42 inference(modus_ponens,[status(thm)],[24544, 24543])).
% 50.92/33.42 tff(24546,plain,
% 50.92/33.42 (v84(constB189, bitIndex0) | v94(constB190) | (~v84(constB190, bitIndex0))),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24545, 184, 24226])).
% 50.92/33.42 tff(24547,plain,
% 50.92/33.42 (v84(constB189, bitIndex0)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24546, 24539, 24237])).
% 50.92/33.42 tff(24548,plain,
% 50.92/33.42 ((~v107(constB189)) | v106(constB189)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24454, 348, 24215])).
% 50.92/33.42 tff(24549,plain,
% 50.92/33.42 (~v107(constB189)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24548, 24444])).
% 50.92/33.42 tff(24550,plain,
% 50.92/33.42 (~v108(constB189)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24461, 334, 24549])).
% 50.92/33.42 tff(24551,plain,
% 50.92/33.42 (~v109(constB189)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24502, 320, 24550])).
% 50.92/33.42 tff(24552,plain,
% 50.92/33.42 (~v110(constB189)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24498, 306, 24551])).
% 50.92/33.42 tff(24553,plain,
% 50.92/33.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB189) | (~v116(constB189)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB189) | (~v116(constB189)))),
% 50.92/33.42 inference(rewrite,[status(thm)],[])).
% 50.92/33.42 tff(24554,plain,
% 50.92/33.42 (((~v116(constB189)) | v110(constB189)) <=> (v110(constB189) | (~v116(constB189)))),
% 50.92/33.42 inference(rewrite,[status(thm)],[])).
% 50.92/33.42 tff(24555,plain,
% 50.92/33.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB189)) | v110(constB189))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB189) | (~v116(constB189))))),
% 50.92/33.42 inference(monotonicity,[status(thm)],[24554])).
% 50.92/33.42 tff(24556,plain,
% 50.92/33.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB189)) | v110(constB189))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB189) | (~v116(constB189)))),
% 50.92/33.42 inference(transitivity,[status(thm)],[24555, 24553])).
% 50.92/33.42 tff(24557,plain,
% 50.92/33.42 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB189)) | v110(constB189))),
% 50.92/33.42 inference(quant_inst,[status(thm)],[])).
% 50.92/33.42 tff(24558,plain,
% 50.92/33.42 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB189) | (~v116(constB189))),
% 50.92/33.42 inference(modus_ponens,[status(thm)],[24557, 24556])).
% 50.92/33.42 tff(24559,plain,
% 50.92/33.42 (~v116(constB189)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24558, 1836, 24552])).
% 50.92/33.42 tff(24560,plain,
% 50.92/33.42 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB189, bitIndex0)) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2) | v116(constB189))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB189, bitIndex0)) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2) | v116(constB189))),
% 50.92/33.42 inference(rewrite,[status(thm)],[])).
% 50.92/33.42 tff(24561,plain,
% 50.92/33.42 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB189, bitIndex0)) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2) | v116(constB189))),
% 50.92/33.42 inference(quant_inst,[status(thm)],[])).
% 50.92/33.42 tff(24562,plain,
% 50.92/33.42 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB189, bitIndex0)) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2) | v116(constB189)),
% 50.92/33.42 inference(modus_ponens,[status(thm)],[24561, 24560])).
% 50.92/33.42 tff(24563,plain,
% 50.92/33.42 ((~v84(constB189, bitIndex0)) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24562, 1825, 24559])).
% 50.92/33.42 tff(24564,plain,
% 50.92/33.42 ($false),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24563, 24547, 24401, 24247])).
% 50.92/33.42 tff(24565,plain,(v84(constB190, bitIndex2) | v94(constB190) | v145(constB189)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.42 tff(24566,plain,
% 50.92/33.42 (v84(constB190, bitIndex2)),
% 50.92/33.42 inference(unit_resolution,[status(thm)],[24565, 24237, 24238])).
% 50.92/33.42 tff(24567,plain,
% 50.92/33.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB189, bitIndex2) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB189, bitIndex2) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex2)))),
% 50.92/33.42 inference(rewrite,[status(thm)],[])).
% 50.92/33.42 tff(24568,plain,
% 50.92/33.42 (((~nextState(constB189, constB190)) | v84(constB189, bitIndex2) | v94(constB190) | (~v84(constB190, bitIndex2))) <=> (v84(constB189, bitIndex2) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex2)))),
% 50.92/33.42 inference(rewrite,[status(thm)],[])).
% 50.92/33.42 tff(24569,plain,
% 50.92/33.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v84(constB189, bitIndex2) | v94(constB190) | (~v84(constB190, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB189, bitIndex2) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex2))))),
% 50.92/33.42 inference(monotonicity,[status(thm)],[24568])).
% 50.92/33.42 tff(24570,plain,
% 50.92/33.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v84(constB189, bitIndex2) | v94(constB190) | (~v84(constB190, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB189, bitIndex2) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex2)))),
% 50.92/33.42 inference(transitivity,[status(thm)],[24569, 24567])).
% 50.92/33.42 tff(24571,plain,
% 50.92/33.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v84(constB189, bitIndex2) | v94(constB190) | (~v84(constB190, bitIndex2)))),
% 50.92/33.42 inference(quant_inst,[status(thm)],[])).
% 50.92/33.42 tff(24572,plain,
% 50.92/33.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB189, bitIndex2) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex2))),
% 50.92/33.43 inference(modus_ponens,[status(thm)],[24571, 24570])).
% 50.92/33.43 tff(24573,plain,
% 50.92/33.43 (v84(constB189, bitIndex2) | v94(constB190) | (~v84(constB190, bitIndex2))),
% 50.92/33.43 inference(unit_resolution,[status(thm)],[24572, 142, 24226])).
% 50.92/33.43 tff(24574,plain,
% 50.92/33.43 ($false),
% 50.92/33.43 inference(unit_resolution,[status(thm)],[24573, 24566, 24237, 24236])).
% 50.92/33.43 tff(24575,plain,(v94(constB190) | v84(constB189, bitIndex2) | v145(constB189)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.43 tff(24576,plain,
% 50.92/33.43 (v94(constB190)),
% 50.92/33.43 inference(unit_resolution,[status(thm)],[24575, 24235, 24138])).
% 50.92/33.43 tff(24577,plain,
% 50.92/33.43 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB190, bitIndex2)) | v123(constB190, bitIndex2) | (~v94(constB190)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB190, bitIndex2)) | v123(constB190, bitIndex2) | (~v94(constB190)))),
% 50.92/33.43 inference(rewrite,[status(thm)],[])).
% 50.92/33.43 tff(24578,plain,
% 50.92/33.43 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB190, bitIndex2)) | v123(constB190, bitIndex2) | (~v94(constB190)))),
% 50.92/33.43 inference(quant_inst,[status(thm)],[])).
% 50.92/33.43 tff(24579,plain,
% 50.92/33.43 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB190, bitIndex2)) | v123(constB190, bitIndex2) | (~v94(constB190))),
% 50.92/33.43 inference(modus_ponens,[status(thm)],[24578, 24577])).
% 50.92/33.43 tff(24580,plain,
% 50.92/33.43 ((~v84(constB190, bitIndex2)) | v123(constB190, bitIndex2)),
% 50.92/33.43 inference(unit_resolution,[status(thm)],[24579, 1220, 24576])).
% 50.92/33.43 tff(24581,plain,
% 50.92/33.43 (~v84(constB190, bitIndex2)),
% 50.92/33.43 inference(unit_resolution,[status(thm)],[24580, 24231])).
% 50.92/33.43 tff(24582,plain,
% 50.92/33.43 ((~v1(constB191)) <=> (~v1(constB191))),
% 50.92/33.43 inference(rewrite,[status(thm)],[])).
% 50.92/33.43 tff(24583,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 50.92/33.43 tff(24584,plain,
% 50.92/33.43 (~v1(constB191)),
% 50.92/33.43 inference(modus_ponens,[status(thm)],[24583, 24582])).
% 50.92/33.43 tff(24585,plain,
% 50.92/33.43 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 50.92/33.43 inference(rewrite,[status(thm)],[])).
% 50.92/33.43 tff(24586,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 50.92/33.43 tff(24587,plain,
% 50.92/33.43 (nextState(constB190, constB191)),
% 50.92/33.43 inference(modus_ponens,[status(thm)],[24586, 24585])).
% 50.92/33.43 tff(24588,plain,
% 50.92/33.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))),
% 50.92/33.43 inference(rewrite,[status(thm)],[])).
% 50.92/33.43 tff(24589,plain,
% 50.92/33.43 (((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))),
% 50.92/33.43 inference(rewrite,[status(thm)],[])).
% 50.92/33.43 tff(24590,plain,
% 50.92/33.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191))))),
% 50.92/33.43 inference(monotonicity,[status(thm)],[24589])).
% 50.92/33.43 tff(24591,plain,
% 50.92/33.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))),
% 50.92/33.43 inference(transitivity,[status(thm)],[24590, 24588])).
% 50.92/33.43 tff(24592,plain,
% 50.92/33.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191))),
% 50.92/33.43 inference(quant_inst,[status(thm)],[])).
% 50.92/33.43 tff(24593,plain,
% 50.92/33.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191))),
% 50.92/33.43 inference(modus_ponens,[status(thm)],[24592, 24591])).
% 50.92/33.43 tff(24594,plain,
% 50.92/33.43 (~v95(constB191)),
% 50.92/33.43 inference(unit_resolution,[status(thm)],[24593, 110, 24587, 24584])).
% 50.92/33.43 tff(24595,plain,
% 50.92/33.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191)))),
% 50.92/33.43 inference(rewrite,[status(thm)],[])).
% 50.92/33.43 tff(24596,plain,
% 50.92/33.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191)))),
% 50.92/33.43 inference(quant_inst,[status(thm)],[])).
% 50.92/33.43 tff(24597,plain,
% 50.92/33.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191))),
% 50.92/33.43 inference(modus_ponens,[status(thm)],[24596, 24595])).
% 50.92/33.43 tff(24598,plain,
% 50.92/33.43 (v95(constB191) | (~v94(constB191))),
% 50.92/33.43 inference(unit_resolution,[status(thm)],[24597, 127, 24587])).
% 50.92/33.43 tff(24599,plain,
% 50.92/33.43 (~v94(constB191)),
% 50.92/33.43 inference(unit_resolution,[status(thm)],[24598, 24594])).
% 50.92/33.43 tff(24600,plain,
% 50.92/33.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex2)))),
% 50.92/33.43 inference(rewrite,[status(thm)],[])).
% 50.92/33.43 tff(24601,plain,
% 50.92/33.43 (((~nextState(constB190, constB191)) | v84(constB190, bitIndex2) | v94(constB191) | (~v84(constB191, bitIndex2))) <=> (v84(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex2)))),
% 50.92/33.43 inference(rewrite,[status(thm)],[])).
% 50.92/33.43 tff(24602,plain,
% 50.92/33.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v84(constB190, bitIndex2) | v94(constB191) | (~v84(constB191, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex2))))),
% 50.92/33.43 inference(monotonicity,[status(thm)],[24601])).
% 50.92/33.43 tff(24603,plain,
% 50.92/33.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v84(constB190, bitIndex2) | v94(constB191) | (~v84(constB191, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex2)))),
% 50.96/33.43 inference(transitivity,[status(thm)],[24602, 24600])).
% 50.96/33.43 tff(24604,plain,
% 50.96/33.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v84(constB190, bitIndex2) | v94(constB191) | (~v84(constB191, bitIndex2)))),
% 50.96/33.43 inference(quant_inst,[status(thm)],[])).
% 50.96/33.43 tff(24605,plain,
% 50.96/33.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex2))),
% 50.96/33.43 inference(modus_ponens,[status(thm)],[24604, 24603])).
% 50.96/33.43 tff(24606,plain,
% 50.96/33.43 (v84(constB190, bitIndex2) | v94(constB191) | (~v84(constB191, bitIndex2))),
% 50.96/33.43 inference(unit_resolution,[status(thm)],[24605, 142, 24587])).
% 50.96/33.43 tff(24607,plain,
% 50.96/33.43 (v84(constB190, bitIndex2) | (~v84(constB191, bitIndex2))),
% 50.96/33.43 inference(unit_resolution,[status(thm)],[24606, 24599])).
% 50.96/33.43 tff(24608,plain,
% 50.96/33.43 (~v84(constB191, bitIndex2)),
% 50.96/33.43 inference(unit_resolution,[status(thm)],[24607, 24581])).
% 50.96/33.43 tff(24609,plain,
% 50.96/33.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB189)) | v124(constB189, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB189)) | v124(constB189, bitIndex1))),
% 50.96/33.43 inference(rewrite,[status(thm)],[])).
% 50.96/33.43 tff(24610,plain,
% 50.96/33.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB189)) | v124(constB189, bitIndex1))),
% 50.96/33.43 inference(quant_inst,[status(thm)],[])).
% 50.96/33.43 tff(24611,plain,
% 50.96/33.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB189)) | v124(constB189, bitIndex1)),
% 50.96/33.43 inference(modus_ponens,[status(thm)],[24610, 24609])).
% 50.96/33.43 tff(24612,plain,
% 50.96/33.43 (v124(constB189, bitIndex1)),
% 50.96/33.43 inference(unit_resolution,[status(thm)],[24611, 1746, 24207])).
% 50.96/33.43 tff(24613,plain,
% 50.96/33.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB189) | (~v124(constB189, bitIndex1)) | v121(constB189, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB189) | (~v124(constB189, bitIndex1)) | v121(constB189, bitIndex1))),
% 50.96/33.43 inference(rewrite,[status(thm)],[])).
% 50.96/33.43 tff(24614,plain,
% 50.96/33.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB189) | (~v124(constB189, bitIndex1)) | v121(constB189, bitIndex1))),
% 50.96/33.43 inference(quant_inst,[status(thm)],[])).
% 50.96/33.43 tff(24615,plain,
% 50.96/33.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB189) | (~v124(constB189, bitIndex1)) | v121(constB189, bitIndex1)),
% 50.96/33.43 inference(modus_ponens,[status(thm)],[24614, 24613])).
% 50.96/33.43 tff(24616,plain,
% 50.96/33.43 ((~v124(constB189, bitIndex1)) | v121(constB189, bitIndex1)),
% 50.96/33.43 inference(unit_resolution,[status(thm)],[24615, 857, 24215])).
% 50.96/33.43 tff(24617,plain,
% 50.96/33.43 (v121(constB189, bitIndex1)),
% 50.96/33.43 inference(unit_resolution,[status(thm)],[24616, 24612])).
% 50.96/33.43 tff(24618,plain,
% 50.96/33.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex1)) | v123(constB190, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex1)) | v123(constB190, bitIndex1))),
% 50.96/33.43 inference(rewrite,[status(thm)],[])).
% 50.96/33.43 tff(24619,plain,
% 50.96/33.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex1)) | v123(constB190, bitIndex1))),
% 50.96/33.44 inference(quant_inst,[status(thm)],[])).
% 50.96/33.44 tff(24620,plain,
% 50.96/33.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex1)) | v123(constB190, bitIndex1)),
% 50.96/33.44 inference(modus_ponens,[status(thm)],[24619, 24618])).
% 50.96/33.44 tff(24621,plain,
% 50.96/33.44 ((~v121(constB189, bitIndex1)) | v123(constB190, bitIndex1)),
% 50.96/33.44 inference(unit_resolution,[status(thm)],[24620, 872, 24226])).
% 50.96/33.44 tff(24622,plain,
% 50.96/33.44 (v123(constB190, bitIndex1)),
% 50.96/33.44 inference(unit_resolution,[status(thm)],[24621, 24617])).
% 50.96/33.44 tff(24623,plain,
% 50.96/33.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1)) | (~v94(constB190)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1)) | (~v94(constB190)))),
% 50.96/33.44 inference(rewrite,[status(thm)],[])).
% 50.96/33.44 tff(24624,plain,
% 50.96/33.44 ((v84(constB190, bitIndex1) | (~v94(constB190)) | (~v123(constB190, bitIndex1))) <=> (v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1)) | (~v94(constB190)))),
% 50.96/33.44 inference(rewrite,[status(thm)],[])).
% 50.96/33.44 tff(24625,plain,
% 50.96/33.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~v94(constB190)) | (~v123(constB190, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1)) | (~v94(constB190))))),
% 50.96/33.44 inference(monotonicity,[status(thm)],[24624])).
% 50.96/33.44 tff(24626,plain,
% 50.96/33.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~v94(constB190)) | (~v123(constB190, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1)) | (~v94(constB190)))),
% 50.96/33.44 inference(transitivity,[status(thm)],[24625, 24623])).
% 50.96/33.44 tff(24627,plain,
% 50.96/33.44 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~v94(constB190)) | (~v123(constB190, bitIndex1)))),
% 50.96/33.44 inference(quant_inst,[status(thm)],[])).
% 50.96/33.44 tff(24628,plain,
% 50.96/33.44 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1)) | (~v94(constB190))),
% 50.96/33.44 inference(modus_ponens,[status(thm)],[24627, 24626])).
% 50.96/33.44 tff(24629,plain,
% 50.96/33.44 (v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1))),
% 50.96/33.44 inference(unit_resolution,[status(thm)],[24628, 887, 24576])).
% 50.96/33.44 tff(24630,plain,
% 50.96/33.44 (v84(constB190, bitIndex1)),
% 50.96/33.44 inference(unit_resolution,[status(thm)],[24629, 24622])).
% 50.96/33.44 tff(24631,plain,
% 50.96/33.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex1))),
% 50.96/33.44 inference(rewrite,[status(thm)],[])).
% 50.96/33.44 tff(24632,plain,
% 50.96/33.44 (((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex1)) | v94(constB191) | v84(constB191, bitIndex1)) <=> ((~v84(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex1))),
% 50.96/33.44 inference(rewrite,[status(thm)],[])).
% 50.96/33.44 tff(24633,plain,
% 50.96/33.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex1)) | v94(constB191) | v84(constB191, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex1)))),
% 50.97/33.44 inference(monotonicity,[status(thm)],[24632])).
% 50.97/33.44 tff(24634,plain,
% 50.97/33.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex1)) | v94(constB191) | v84(constB191, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex1))),
% 50.97/33.44 inference(transitivity,[status(thm)],[24633, 24631])).
% 50.97/33.44 tff(24635,plain,
% 50.97/33.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex1)) | v94(constB191) | v84(constB191, bitIndex1))),
% 50.97/33.44 inference(quant_inst,[status(thm)],[])).
% 50.97/33.44 tff(24636,plain,
% 50.97/33.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex1)),
% 50.97/33.44 inference(modus_ponens,[status(thm)],[24635, 24634])).
% 50.97/33.44 tff(24637,plain,
% 50.97/33.44 ((~v84(constB190, bitIndex1)) | v94(constB191) | v84(constB191, bitIndex1)),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24636, 905, 24587])).
% 50.97/33.44 tff(24638,plain,
% 50.97/33.44 ((~v84(constB190, bitIndex1)) | v84(constB191, bitIndex1)),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24637, 24599])).
% 50.97/33.44 tff(24639,plain,
% 50.97/33.44 (v84(constB191, bitIndex1)),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24638, 24630])).
% 50.97/33.44 tff(24640,plain,
% 50.97/33.44 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB189)) | v124(constB189, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB189)) | v124(constB189, bitIndex0))),
% 50.97/33.44 inference(rewrite,[status(thm)],[])).
% 50.97/33.44 tff(24641,plain,
% 50.97/33.44 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB189)) | v124(constB189, bitIndex0))),
% 50.97/33.44 inference(quant_inst,[status(thm)],[])).
% 50.97/33.44 tff(24642,plain,
% 50.97/33.44 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB189)) | v124(constB189, bitIndex0)),
% 50.97/33.44 inference(modus_ponens,[status(thm)],[24641, 24640])).
% 50.97/33.44 tff(24643,plain,
% 50.97/33.44 (v124(constB189, bitIndex0)),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24642, 1784, 24207])).
% 50.97/33.44 tff(24644,plain,
% 50.97/33.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0))),
% 50.97/33.44 inference(rewrite,[status(thm)],[])).
% 50.97/33.44 tff(24645,plain,
% 50.97/33.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0))),
% 50.97/33.44 inference(quant_inst,[status(thm)],[])).
% 50.97/33.44 tff(24646,plain,
% 50.97/33.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0)),
% 50.97/33.44 inference(modus_ponens,[status(thm)],[24645, 24644])).
% 50.97/33.44 tff(24647,plain,
% 50.97/33.44 ((~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0)),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24646, 1391, 24215])).
% 50.97/33.44 tff(24648,plain,
% 50.97/33.44 (v121(constB189, bitIndex0)),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24647, 24643])).
% 50.97/33.44 tff(24649,plain,
% 50.97/33.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0))),
% 50.97/33.44 inference(rewrite,[status(thm)],[])).
% 50.97/33.44 tff(24650,plain,
% 50.97/33.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0))),
% 50.97/33.44 inference(quant_inst,[status(thm)],[])).
% 50.97/33.44 tff(24651,plain,
% 50.97/33.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0)),
% 50.97/33.44 inference(modus_ponens,[status(thm)],[24650, 24649])).
% 50.97/33.44 tff(24652,plain,
% 50.97/33.44 ((~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0)),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24651, 1406, 24226])).
% 50.97/33.44 tff(24653,plain,
% 50.97/33.44 (v123(constB190, bitIndex0)),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24652, 24648])).
% 50.97/33.44 tff(24654,plain,
% 50.97/33.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))),
% 50.97/33.44 inference(rewrite,[status(thm)],[])).
% 50.97/33.44 tff(24655,plain,
% 50.97/33.44 ((v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0))) <=> (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))),
% 50.97/33.44 inference(rewrite,[status(thm)],[])).
% 50.97/33.44 tff(24656,plain,
% 50.97/33.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190))))),
% 50.97/33.44 inference(monotonicity,[status(thm)],[24655])).
% 50.97/33.44 tff(24657,plain,
% 50.97/33.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))),
% 50.97/33.44 inference(transitivity,[status(thm)],[24656, 24654])).
% 50.97/33.44 tff(24658,plain,
% 50.97/33.44 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0)))),
% 50.97/33.44 inference(quant_inst,[status(thm)],[])).
% 50.97/33.44 tff(24659,plain,
% 50.97/33.44 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190))),
% 50.97/33.44 inference(modus_ponens,[status(thm)],[24658, 24657])).
% 50.97/33.44 tff(24660,plain,
% 50.97/33.44 (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0))),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24659, 1421, 24576])).
% 50.97/33.44 tff(24661,plain,
% 50.97/33.44 (v84(constB190, bitIndex0)),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24660, 24653])).
% 50.97/33.44 tff(24662,plain,
% 50.97/33.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))),
% 50.97/33.44 inference(rewrite,[status(thm)],[])).
% 50.97/33.44 tff(24663,plain,
% 50.97/33.44 (((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0)) <=> ((~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))),
% 50.97/33.44 inference(rewrite,[status(thm)],[])).
% 50.97/33.44 tff(24664,plain,
% 50.97/33.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0)))),
% 50.97/33.44 inference(monotonicity,[status(thm)],[24663])).
% 50.97/33.44 tff(24665,plain,
% 50.97/33.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))),
% 50.97/33.44 inference(transitivity,[status(thm)],[24664, 24662])).
% 50.97/33.44 tff(24666,plain,
% 50.97/33.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0))),
% 50.97/33.44 inference(quant_inst,[status(thm)],[])).
% 50.97/33.44 tff(24667,plain,
% 50.97/33.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0)),
% 50.97/33.44 inference(modus_ponens,[status(thm)],[24666, 24665])).
% 50.97/33.44 tff(24668,plain,
% 50.97/33.44 ((~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0)),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24667, 1439, 24587])).
% 50.97/33.44 tff(24669,plain,
% 50.97/33.44 ((~v84(constB190, bitIndex0)) | v84(constB191, bitIndex0)),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24668, 24599])).
% 50.97/33.44 tff(24670,plain,
% 50.97/33.44 (v84(constB191, bitIndex0)),
% 50.97/33.44 inference(unit_resolution,[status(thm)],[24669, 24661])).
% 50.97/33.44 tff(24671,plain,
% 50.97/33.44 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB191, bitIndex0)) | (~v84(constB191, bitIndex1)) | v84(constB191, bitIndex2) | v116(constB191))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB191, bitIndex0)) | (~v84(constB191, bitIndex1)) | v84(constB191, bitIndex2) | v116(constB191))),
% 50.97/33.44 inference(rewrite,[status(thm)],[])).
% 50.97/33.44 tff(24672,plain,
% 50.97/33.44 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB191, bitIndex0)) | (~v84(constB191, bitIndex1)) | v84(constB191, bitIndex2) | v116(constB191))),
% 50.97/33.44 inference(quant_inst,[status(thm)],[])).
% 50.97/33.44 tff(24673,plain,
% 50.97/33.44 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB191, bitIndex0)) | (~v84(constB191, bitIndex1)) | v84(constB191, bitIndex2) | v116(constB191)),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24672, 24671])).
% 50.97/33.45 tff(24674,plain,
% 50.97/33.45 (v116(constB191)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24673, 1825, 24670, 24639, 24608])).
% 50.97/33.45 tff(24675,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB191)) | v110(constB191))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB191)) | v110(constB191))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24676,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB191)) | v110(constB191))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24677,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB191)) | v110(constB191)),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24676, 24675])).
% 50.97/33.45 tff(24678,plain,
% 50.97/33.45 (v110(constB191)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24677, 1836, 24674])).
% 50.97/33.45 tff(24679,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB191)) | v109(constB191))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB191)) | v109(constB191))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24680,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB191)) | v109(constB191))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24681,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB191)) | v109(constB191)),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24680, 24679])).
% 50.97/33.45 tff(24682,plain,
% 50.97/33.45 (v109(constB191)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24681, 306, 24678])).
% 50.97/33.45 tff(24683,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v109(constB191)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v109(constB191)))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24684,plain,
% 50.97/33.45 (((~v109(constB191)) | v108(constB191)) <=> (v108(constB191) | (~v109(constB191)))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24685,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v109(constB191))))),
% 50.97/33.45 inference(monotonicity,[status(thm)],[24684])).
% 50.97/33.45 tff(24686,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v109(constB191)))),
% 50.97/33.45 inference(transitivity,[status(thm)],[24685, 24683])).
% 50.97/33.45 tff(24687,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB191)) | v108(constB191))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24688,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v109(constB191))),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24687, 24686])).
% 50.97/33.45 tff(24689,plain,
% 50.97/33.45 (v108(constB191)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24688, 320, 24682])).
% 50.97/33.45 tff(24690,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB191) | (~v108(constB191)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB191) | (~v108(constB191)))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24691,plain,
% 50.97/33.45 (((~v108(constB191)) | v107(constB191)) <=> (v107(constB191) | (~v108(constB191)))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24692,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB191)) | v107(constB191))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB191) | (~v108(constB191))))),
% 50.97/33.45 inference(monotonicity,[status(thm)],[24691])).
% 50.97/33.45 tff(24693,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB191)) | v107(constB191))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB191) | (~v108(constB191)))),
% 50.97/33.45 inference(transitivity,[status(thm)],[24692, 24690])).
% 50.97/33.45 tff(24694,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB191)) | v107(constB191))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24695,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB191) | (~v108(constB191))),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24694, 24693])).
% 50.97/33.45 tff(24696,plain,
% 50.97/33.45 (v107(constB191)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24695, 334, 24689])).
% 50.97/33.45 tff(24697,assumption,(v26(constB191)), introduced(assumption)).
% 50.97/33.45 tff(24698,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB191))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24699,plain,
% 50.97/33.45 ($false),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24698, 55, 24697])).
% 50.97/33.45 tff(24700,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 50.97/33.45 tff(24701,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB191) | (~v107(constB191)) | v106(constB191))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB191) | (~v107(constB191)) | v106(constB191))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24702,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB191) | (~v107(constB191)) | v106(constB191))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24703,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB191) | (~v107(constB191)) | v106(constB191)),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24702, 24701])).
% 50.97/33.45 tff(24704,plain,
% 50.97/33.45 ((~v107(constB191)) | v106(constB191)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24703, 348, 24700])).
% 50.97/33.45 tff(24705,plain,
% 50.97/33.45 (v106(constB191)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24704, 24696])).
% 50.97/33.45 tff(24706,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB191) | (~v106(constB191)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB191) | (~v106(constB191)))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24707,plain,
% 50.97/33.45 (((~v106(constB191)) | v102(constB191)) <=> (v102(constB191) | (~v106(constB191)))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24708,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB191)) | v102(constB191))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB191) | (~v106(constB191))))),
% 50.97/33.45 inference(monotonicity,[status(thm)],[24707])).
% 50.97/33.45 tff(24709,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB191)) | v102(constB191))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB191) | (~v106(constB191)))),
% 50.97/33.45 inference(transitivity,[status(thm)],[24708, 24706])).
% 50.97/33.45 tff(24710,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB191)) | v102(constB191))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24711,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB191) | (~v106(constB191))),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24710, 24709])).
% 50.97/33.45 tff(24712,plain,
% 50.97/33.45 (v102(constB191)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24711, 504, 24705])).
% 50.97/33.45 tff(24713,plain,
% 50.97/33.45 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24714,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 50.97/33.45 tff(24715,plain,
% 50.97/33.45 (nextState(constB191, constB192)),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24714, 24713])).
% 50.97/33.45 tff(24716,plain,
% 50.97/33.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24717,plain,
% 50.97/33.45 (((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192)) <=> ((~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24718,plain,
% 50.97/33.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191))))),
% 50.97/33.45 inference(monotonicity,[status(thm)],[24717])).
% 50.97/33.45 tff(24719,plain,
% 50.97/33.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))),
% 50.97/33.45 inference(transitivity,[status(thm)],[24718, 24716])).
% 50.97/33.45 tff(24720,plain,
% 50.97/33.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24721,plain,
% 50.97/33.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191))),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24720, 24719])).
% 50.97/33.45 tff(24722,plain,
% 50.97/33.45 (v104(constB192) | (~v102(constB191))),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24721, 489, 24715])).
% 50.97/33.45 tff(24723,plain,
% 50.97/33.45 (v104(constB192)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24722, 24712])).
% 50.97/33.45 tff(24724,plain,
% 50.97/33.45 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192)))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24725,plain,
% 50.97/33.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192)))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24726,plain,
% 50.97/33.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192))),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24725, 24724])).
% 50.97/33.45 tff(24727,plain,
% 50.97/33.45 (~v98(constB192)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24726, 423, 24715, 24584])).
% 50.97/33.45 tff(24728,plain,
% 50.97/33.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB191, constB192)) | v96(constB192) | v98(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB191, constB192)) | v96(constB192) | v98(constB192))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24729,plain,
% 50.97/33.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB191, constB192)) | v96(constB192) | v98(constB192))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24730,plain,
% 50.97/33.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB191, constB192)) | v96(constB192) | v98(constB192)),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24729, 24728])).
% 50.97/33.45 tff(24731,plain,
% 50.97/33.45 (v96(constB192) | v98(constB192)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24730, 437, 24715])).
% 50.97/33.45 tff(24732,plain,
% 50.97/33.45 (v96(constB192)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24731, 24727])).
% 50.97/33.45 tff(24733,plain,
% 50.97/33.45 (v1(constB192) <=> v1(constB192)),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24734,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 50.97/33.45 tff(24735,plain,
% 50.97/33.45 (v1(constB192)),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24734, 24733])).
% 50.97/33.45 tff(24736,plain,
% 50.97/33.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192)))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24737,plain,
% 50.97/33.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192)))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24738,plain,
% 50.97/33.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192))),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24737, 24736])).
% 50.97/33.45 tff(24739,plain,
% 50.97/33.45 (v95(constB192) | (~v96(constB192))),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24738, 455, 24715, 24735])).
% 50.97/33.45 tff(24740,plain,
% 50.97/33.45 (v95(constB192)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24739, 24732])).
% 50.97/33.45 tff(24741,plain,
% 50.97/33.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24742,plain,
% 50.97/33.45 (((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192)) <=> ((~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24743,plain,
% 50.97/33.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192))))),
% 50.97/33.45 inference(monotonicity,[status(thm)],[24742])).
% 50.97/33.45 tff(24744,plain,
% 50.97/33.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))),
% 50.97/33.45 inference(transitivity,[status(thm)],[24743, 24741])).
% 50.97/33.45 tff(24745,plain,
% 50.97/33.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24746,plain,
% 50.97/33.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192))),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24745, 24744])).
% 50.97/33.45 tff(24747,plain,
% 50.97/33.45 (v94(constB192) | (~v95(constB192)) | (~v104(constB192))),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24746, 470, 24715])).
% 50.97/33.45 tff(24748,plain,
% 50.97/33.45 (v94(constB192) | (~v104(constB192))),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24747, 24740])).
% 50.97/33.45 tff(24749,plain,
% 50.97/33.45 (v94(constB192)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24748, 24723])).
% 50.97/33.45 tff(24750,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB191)) | v124(constB191, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB191)) | v124(constB191, bitIndex2))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24751,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB191)) | v124(constB191, bitIndex2))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24752,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB191)) | v124(constB191, bitIndex2)),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24751, 24750])).
% 50.97/33.45 tff(24753,plain,
% 50.97/33.45 (v124(constB191, bitIndex2)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24752, 1923, 24674])).
% 50.97/33.45 tff(24754,plain,
% 50.97/33.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB191) | (~v124(constB191, bitIndex2)) | v121(constB191, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB191) | (~v124(constB191, bitIndex2)) | v121(constB191, bitIndex2))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24755,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB191) | (~v124(constB191, bitIndex2)) | v121(constB191, bitIndex2))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24756,plain,
% 50.97/33.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB191) | (~v124(constB191, bitIndex2)) | v121(constB191, bitIndex2)),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24755, 24754])).
% 50.97/33.45 tff(24757,plain,
% 50.97/33.45 ((~v124(constB191, bitIndex2)) | v121(constB191, bitIndex2)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24756, 374, 24700])).
% 50.97/33.45 tff(24758,plain,
% 50.97/33.45 (v121(constB191, bitIndex2)),
% 50.97/33.45 inference(unit_resolution,[status(thm)],[24757, 24753])).
% 50.97/33.45 tff(24759,plain,
% 50.97/33.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v121(constB191, bitIndex2)) | v123(constB192, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v121(constB191, bitIndex2)) | v123(constB192, bitIndex2))),
% 50.97/33.45 inference(rewrite,[status(thm)],[])).
% 50.97/33.45 tff(24760,plain,
% 50.97/33.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v121(constB191, bitIndex2)) | v123(constB192, bitIndex2))),
% 50.97/33.45 inference(quant_inst,[status(thm)],[])).
% 50.97/33.45 tff(24761,plain,
% 50.97/33.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v121(constB191, bitIndex2)) | v123(constB192, bitIndex2)),
% 50.97/33.45 inference(modus_ponens,[status(thm)],[24760, 24759])).
% 50.97/33.45 tff(24762,plain,
% 50.97/33.45 ((~v121(constB191, bitIndex2)) | v123(constB192, bitIndex2)),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24761, 389, 24715])).
% 50.97/33.46 tff(24763,plain,
% 50.97/33.46 (v123(constB192, bitIndex2)),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24762, 24758])).
% 50.97/33.46 tff(24764,plain,
% 50.97/33.46 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2)) | (~v94(constB192)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2)) | (~v94(constB192)))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24765,plain,
% 50.97/33.46 ((v84(constB192, bitIndex2) | (~v94(constB192)) | (~v123(constB192, bitIndex2))) <=> (v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2)) | (~v94(constB192)))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24766,plain,
% 50.97/33.46 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB192, bitIndex2) | (~v94(constB192)) | (~v123(constB192, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2)) | (~v94(constB192))))),
% 50.97/33.46 inference(monotonicity,[status(thm)],[24765])).
% 50.97/33.46 tff(24767,plain,
% 50.97/33.46 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB192, bitIndex2) | (~v94(constB192)) | (~v123(constB192, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2)) | (~v94(constB192)))),
% 50.97/33.46 inference(transitivity,[status(thm)],[24766, 24764])).
% 50.97/33.46 tff(24768,plain,
% 50.97/33.46 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB192, bitIndex2) | (~v94(constB192)) | (~v123(constB192, bitIndex2)))),
% 50.97/33.46 inference(quant_inst,[status(thm)],[])).
% 50.97/33.46 tff(24769,plain,
% 50.97/33.46 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2)) | (~v94(constB192))),
% 50.97/33.46 inference(modus_ponens,[status(thm)],[24768, 24767])).
% 50.97/33.46 tff(24770,plain,
% 50.97/33.46 (v84(constB192, bitIndex2) | (~v94(constB192))),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24769, 405, 24763])).
% 50.97/33.46 tff(24771,plain,
% 50.97/33.46 (v84(constB192, bitIndex2)),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24770, 24749])).
% 50.97/33.46 tff(24772,plain,
% 50.97/33.46 ((~v1(constB193)) <=> (~v1(constB193))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24773,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 50.97/33.46 tff(24774,plain,
% 50.97/33.46 (~v1(constB193)),
% 50.97/33.46 inference(modus_ponens,[status(thm)],[24773, 24772])).
% 50.97/33.46 tff(24775,plain,
% 50.97/33.46 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24776,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 50.97/33.46 tff(24777,plain,
% 50.97/33.46 (nextState(constB192, constB193)),
% 50.97/33.46 inference(modus_ponens,[status(thm)],[24776, 24775])).
% 50.97/33.46 tff(24778,plain,
% 50.97/33.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24779,plain,
% 50.97/33.46 (((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24780,plain,
% 50.97/33.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193))))),
% 50.97/33.46 inference(monotonicity,[status(thm)],[24779])).
% 50.97/33.46 tff(24781,plain,
% 50.97/33.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))),
% 50.97/33.46 inference(transitivity,[status(thm)],[24780, 24778])).
% 50.97/33.46 tff(24782,plain,
% 50.97/33.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193))),
% 50.97/33.46 inference(quant_inst,[status(thm)],[])).
% 50.97/33.46 tff(24783,plain,
% 50.97/33.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193))),
% 50.97/33.46 inference(modus_ponens,[status(thm)],[24782, 24781])).
% 50.97/33.46 tff(24784,plain,
% 50.97/33.46 (~v95(constB193)),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24783, 110, 24777, 24774])).
% 50.97/33.46 tff(24785,plain,
% 50.97/33.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193)))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24786,plain,
% 50.97/33.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193)))),
% 50.97/33.46 inference(quant_inst,[status(thm)],[])).
% 50.97/33.46 tff(24787,plain,
% 50.97/33.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193))),
% 50.97/33.46 inference(modus_ponens,[status(thm)],[24786, 24785])).
% 50.97/33.46 tff(24788,plain,
% 50.97/33.46 (v95(constB193) | (~v94(constB193))),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24787, 127, 24777])).
% 50.97/33.46 tff(24789,plain,
% 50.97/33.46 (~v94(constB193)),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24788, 24784])).
% 50.97/33.46 tff(24790,plain,
% 50.97/33.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex2))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24791,plain,
% 50.97/33.46 (((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex2)) | v94(constB193) | v84(constB193, bitIndex2)) <=> ((~v84(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex2))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24792,plain,
% 50.97/33.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex2)) | v94(constB193) | v84(constB193, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex2)))),
% 50.97/33.46 inference(monotonicity,[status(thm)],[24791])).
% 50.97/33.46 tff(24793,plain,
% 50.97/33.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex2)) | v94(constB193) | v84(constB193, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex2))),
% 50.97/33.46 inference(transitivity,[status(thm)],[24792, 24790])).
% 50.97/33.46 tff(24794,plain,
% 50.97/33.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex2)) | v94(constB193) | v84(constB193, bitIndex2))),
% 50.97/33.46 inference(quant_inst,[status(thm)],[])).
% 50.97/33.46 tff(24795,plain,
% 50.97/33.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex2)),
% 50.97/33.46 inference(modus_ponens,[status(thm)],[24794, 24793])).
% 50.97/33.46 tff(24796,plain,
% 50.97/33.46 ((~v84(constB192, bitIndex2)) | v94(constB193) | v84(constB193, bitIndex2)),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24795, 576, 24777])).
% 50.97/33.46 tff(24797,plain,
% 50.97/33.46 ((~v84(constB192, bitIndex2)) | v84(constB193, bitIndex2)),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24796, 24789])).
% 50.97/33.46 tff(24798,plain,
% 50.97/33.46 (v84(constB193, bitIndex2)),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24797, 24771])).
% 50.97/33.46 tff(24799,plain,
% 50.97/33.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB191)) | (~v124(constB191, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB191)) | (~v124(constB191, bitIndex1)))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24800,plain,
% 50.97/33.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB191)) | (~v124(constB191, bitIndex1)))),
% 50.97/33.46 inference(quant_inst,[status(thm)],[])).
% 50.97/33.46 tff(24801,plain,
% 50.97/33.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB191)) | (~v124(constB191, bitIndex1))),
% 50.97/33.46 inference(modus_ponens,[status(thm)],[24800, 24799])).
% 50.97/33.46 tff(24802,plain,
% 50.97/33.46 (~v124(constB191, bitIndex1)),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24801, 1979, 24674])).
% 50.97/33.46 tff(24803,plain,
% 50.97/33.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB191, bitIndex1)) | v26(constB191) | v124(constB191, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB191, bitIndex1)) | v26(constB191) | v124(constB191, bitIndex1))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24804,plain,
% 50.97/33.46 ((v26(constB191) | v124(constB191, bitIndex1) | (~v121(constB191, bitIndex1))) <=> ((~v121(constB191, bitIndex1)) | v26(constB191) | v124(constB191, bitIndex1))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24805,plain,
% 50.97/33.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB191) | v124(constB191, bitIndex1) | (~v121(constB191, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB191, bitIndex1)) | v26(constB191) | v124(constB191, bitIndex1)))),
% 50.97/33.46 inference(monotonicity,[status(thm)],[24804])).
% 50.97/33.46 tff(24806,plain,
% 50.97/33.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB191) | v124(constB191, bitIndex1) | (~v121(constB191, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB191, bitIndex1)) | v26(constB191) | v124(constB191, bitIndex1))),
% 50.97/33.46 inference(transitivity,[status(thm)],[24805, 24803])).
% 50.97/33.46 tff(24807,plain,
% 50.97/33.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB191) | v124(constB191, bitIndex1) | (~v121(constB191, bitIndex1)))),
% 50.97/33.46 inference(quant_inst,[status(thm)],[])).
% 50.97/33.46 tff(24808,plain,
% 50.97/33.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB191, bitIndex1)) | v26(constB191) | v124(constB191, bitIndex1)),
% 50.97/33.46 inference(modus_ponens,[status(thm)],[24807, 24806])).
% 50.97/33.46 tff(24809,plain,
% 50.97/33.46 ((~v121(constB191, bitIndex1)) | v124(constB191, bitIndex1)),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24808, 233, 24700])).
% 50.97/33.46 tff(24810,plain,
% 50.97/33.46 (~v121(constB191, bitIndex1)),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24809, 24802])).
% 50.97/33.46 tff(24811,plain,
% 50.97/33.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB191, constB192)) | v121(constB191, bitIndex1) | (~v123(constB192, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB191, constB192)) | v121(constB191, bitIndex1) | (~v123(constB192, bitIndex1)))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24812,plain,
% 50.97/33.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB191, constB192)) | v121(constB191, bitIndex1) | (~v123(constB192, bitIndex1)))),
% 50.97/33.46 inference(quant_inst,[status(thm)],[])).
% 50.97/33.46 tff(24813,plain,
% 50.97/33.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB191, constB192)) | v121(constB191, bitIndex1) | (~v123(constB192, bitIndex1))),
% 50.97/33.46 inference(modus_ponens,[status(thm)],[24812, 24811])).
% 50.97/33.46 tff(24814,plain,
% 50.97/33.46 (v121(constB191, bitIndex1) | (~v123(constB192, bitIndex1))),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24813, 254, 24715])).
% 50.97/33.46 tff(24815,plain,
% 50.97/33.46 (~v123(constB192, bitIndex1)),
% 50.97/33.46 inference(unit_resolution,[status(thm)],[24814, 24810])).
% 50.97/33.46 tff(24816,plain,
% 50.97/33.46 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | v123(constB192, bitIndex1) | (~v94(constB192)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB192, bitIndex1)) | v123(constB192, bitIndex1) | (~v94(constB192)))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24817,plain,
% 50.97/33.46 (((~v84(constB192, bitIndex1)) | (~v94(constB192)) | v123(constB192, bitIndex1)) <=> ((~v84(constB192, bitIndex1)) | v123(constB192, bitIndex1) | (~v94(constB192)))),
% 50.97/33.46 inference(rewrite,[status(thm)],[])).
% 50.97/33.46 tff(24818,plain,
% 50.97/33.46 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | (~v94(constB192)) | v123(constB192, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | v123(constB192, bitIndex1) | (~v94(constB192))))),
% 50.97/33.46 inference(monotonicity,[status(thm)],[24817])).
% 50.97/33.46 tff(24819,plain,
% 50.97/33.46 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | (~v94(constB192)) | v123(constB192, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB192, bitIndex1)) | v123(constB192, bitIndex1) | (~v94(constB192)))),
% 50.97/33.46 inference(transitivity,[status(thm)],[24818, 24816])).
% 50.97/33.46 tff(24820,plain,
% 50.97/33.46 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | (~v94(constB192)) | v123(constB192, bitIndex1))),
% 50.97/33.46 inference(quant_inst,[status(thm)],[])).
% 50.97/33.47 tff(24821,plain,
% 50.97/33.47 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB192, bitIndex1)) | v123(constB192, bitIndex1) | (~v94(constB192))),
% 50.97/33.47 inference(modus_ponens,[status(thm)],[24820, 24819])).
% 50.97/33.47 tff(24822,plain,
% 50.97/33.47 ((~v84(constB192, bitIndex1)) | (~v94(constB192))),
% 50.97/33.47 inference(unit_resolution,[status(thm)],[24821, 532, 24815])).
% 50.97/33.47 tff(24823,plain,
% 50.97/33.47 (~v84(constB192, bitIndex1)),
% 50.97/33.47 inference(unit_resolution,[status(thm)],[24822, 24749])).
% 50.97/33.47 tff(24824,plain,
% 50.97/33.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex1)))),
% 50.97/33.47 inference(rewrite,[status(thm)],[])).
% 50.97/33.47 tff(24825,plain,
% 50.97/33.47 (((~nextState(constB192, constB193)) | v84(constB192, bitIndex1) | v94(constB193) | (~v84(constB193, bitIndex1))) <=> (v84(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex1)))),
% 50.97/33.47 inference(rewrite,[status(thm)],[])).
% 50.97/33.47 tff(24826,plain,
% 50.97/33.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB192, constB193)) | v84(constB192, bitIndex1) | v94(constB193) | (~v84(constB193, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex1))))),
% 50.97/33.47 inference(monotonicity,[status(thm)],[24825])).
% 50.97/33.47 tff(24827,plain,
% 50.97/33.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB192, constB193)) | v84(constB192, bitIndex1) | v94(constB193) | (~v84(constB193, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex1)))),
% 50.97/33.47 inference(transitivity,[status(thm)],[24826, 24824])).
% 50.97/33.47 tff(24828,plain,
% 50.97/33.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB192, constB193)) | v84(constB192, bitIndex1) | v94(constB193) | (~v84(constB193, bitIndex1)))),
% 50.97/33.47 inference(quant_inst,[status(thm)],[])).
% 50.97/33.47 tff(24829,plain,
% 50.97/33.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex1))),
% 50.97/33.47 inference(modus_ponens,[status(thm)],[24828, 24827])).
% 50.97/33.47 tff(24830,plain,
% 50.97/33.47 (v84(constB192, bitIndex1) | v94(constB193) | (~v84(constB193, bitIndex1))),
% 50.97/33.47 inference(unit_resolution,[status(thm)],[24829, 163, 24777])).
% 50.97/33.47 tff(24831,plain,
% 50.97/33.47 (v84(constB192, bitIndex1) | (~v84(constB193, bitIndex1))),
% 50.97/33.47 inference(unit_resolution,[status(thm)],[24830, 24789])).
% 50.97/33.47 tff(24832,plain,
% 50.97/33.47 (~v84(constB193, bitIndex1)),
% 50.97/33.47 inference(unit_resolution,[status(thm)],[24831, 24823])).
% 50.97/33.47 tff(24833,plain,
% 50.97/33.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB191)) | (~v124(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB191)) | (~v124(constB191, bitIndex0)))),
% 50.97/33.47 inference(rewrite,[status(thm)],[])).
% 50.97/33.47 tff(24834,plain,
% 50.97/33.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB191)) | (~v124(constB191, bitIndex0)))),
% 50.97/33.47 inference(quant_inst,[status(thm)],[])).
% 50.97/33.47 tff(24835,plain,
% 50.97/33.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB191)) | (~v124(constB191, bitIndex0))),
% 50.97/33.47 inference(modus_ponens,[status(thm)],[24834, 24833])).
% 50.97/33.47 tff(24836,plain,
% 50.97/33.47 (~v124(constB191, bitIndex0)),
% 50.97/33.47 inference(unit_resolution,[status(thm)],[24835, 2020, 24674])).
% 50.97/33.47 tff(24837,plain,
% 50.97/33.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB191, bitIndex0)) | v26(constB191) | v124(constB191, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB191, bitIndex0)) | v26(constB191) | v124(constB191, bitIndex0))),
% 50.97/33.47 inference(rewrite,[status(thm)],[])).
% 50.97/33.47 tff(24838,plain,
% 50.97/33.47 ((v26(constB191) | v124(constB191, bitIndex0) | (~v121(constB191, bitIndex0))) <=> ((~v121(constB191, bitIndex0)) | v26(constB191) | v124(constB191, bitIndex0))),
% 50.97/33.47 inference(rewrite,[status(thm)],[])).
% 50.97/33.47 tff(24839,plain,
% 50.97/33.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB191) | v124(constB191, bitIndex0) | (~v121(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB191, bitIndex0)) | v26(constB191) | v124(constB191, bitIndex0)))),
% 50.97/33.47 inference(monotonicity,[status(thm)],[24838])).
% 50.97/33.47 tff(24840,plain,
% 50.97/33.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB191) | v124(constB191, bitIndex0) | (~v121(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB191, bitIndex0)) | v26(constB191) | v124(constB191, bitIndex0))),
% 50.97/33.47 inference(transitivity,[status(thm)],[24839, 24837])).
% 50.97/33.47 tff(24841,plain,
% 50.97/33.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB191) | v124(constB191, bitIndex0) | (~v121(constB191, bitIndex0)))),
% 50.97/33.47 inference(quant_inst,[status(thm)],[])).
% 50.97/33.47 tff(24842,plain,
% 50.97/33.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB191, bitIndex0)) | v26(constB191) | v124(constB191, bitIndex0)),
% 50.97/33.47 inference(modus_ponens,[status(thm)],[24841, 24840])).
% 50.97/33.47 tff(24843,plain,
% 50.97/33.47 ((~v121(constB191, bitIndex0)) | v124(constB191, bitIndex0)),
% 50.97/33.47 inference(unit_resolution,[status(thm)],[24842, 607, 24700])).
% 50.97/33.47 tff(24844,plain,
% 50.97/33.47 (~v121(constB191, bitIndex0)),
% 50.97/33.47 inference(unit_resolution,[status(thm)],[24843, 24836])).
% 50.97/33.47 tff(24845,plain,
% 50.97/33.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v121(constB191, bitIndex0) | (~v123(constB192, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v121(constB191, bitIndex0) | (~v123(constB192, bitIndex0)))),
% 50.97/33.47 inference(rewrite,[status(thm)],[])).
% 50.97/33.47 tff(24846,plain,
% 50.97/33.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v121(constB191, bitIndex0) | (~v123(constB192, bitIndex0)))),
% 50.97/33.47 inference(quant_inst,[status(thm)],[])).
% 50.97/33.47 tff(24847,plain,
% 50.97/33.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v121(constB191, bitIndex0) | (~v123(constB192, bitIndex0))),
% 50.97/33.47 inference(modus_ponens,[status(thm)],[24846, 24845])).
% 50.97/33.47 tff(24848,plain,
% 50.97/33.47 (v121(constB191, bitIndex0) | (~v123(constB192, bitIndex0))),
% 50.97/33.47 inference(unit_resolution,[status(thm)],[24847, 637, 24715])).
% 50.97/33.47 tff(24849,plain,
% 50.97/33.47 (~v123(constB192, bitIndex0)),
% 50.97/33.47 inference(unit_resolution,[status(thm)],[24848, 24844])).
% 50.97/33.47 tff(24850,plain,
% 50.97/33.47 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0) | (~v94(constB192)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0) | (~v94(constB192)))),
% 50.97/33.47 inference(rewrite,[status(thm)],[])).
% 50.97/33.47 tff(24851,plain,
% 50.97/33.47 (((~v84(constB192, bitIndex0)) | (~v94(constB192)) | v123(constB192, bitIndex0)) <=> ((~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0) | (~v94(constB192)))),
% 50.97/33.47 inference(rewrite,[status(thm)],[])).
% 50.97/33.47 tff(24852,plain,
% 50.97/33.47 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB192, bitIndex0)) | (~v94(constB192)) | v123(constB192, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0) | (~v94(constB192))))),
% 50.97/33.47 inference(monotonicity,[status(thm)],[24851])).
% 50.97/33.47 tff(24853,plain,
% 50.97/33.47 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB192, bitIndex0)) | (~v94(constB192)) | v123(constB192, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0) | (~v94(constB192)))),
% 50.97/33.47 inference(transitivity,[status(thm)],[24852, 24850])).
% 50.97/33.47 tff(24854,plain,
% 50.97/33.47 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB192, bitIndex0)) | (~v94(constB192)) | v123(constB192, bitIndex0))),
% 50.97/33.47 inference(quant_inst,[status(thm)],[])).
% 50.97/33.47 tff(24855,plain,
% 50.97/33.47 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0) | (~v94(constB192))),
% 50.97/33.47 inference(modus_ponens,[status(thm)],[24854, 24853])).
% 50.97/33.47 tff(24856,plain,
% 50.97/33.47 ((~v84(constB192, bitIndex0)) | (~v94(constB192))),
% 50.97/33.47 inference(unit_resolution,[status(thm)],[24855, 652, 24849])).
% 50.97/33.47 tff(24857,plain,
% 50.97/33.47 (~v84(constB192, bitIndex0)),
% 50.97/33.47 inference(unit_resolution,[status(thm)],[24856, 24749])).
% 50.97/33.47 tff(24858,plain,
% 50.97/33.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex0)))),
% 50.97/33.47 inference(rewrite,[status(thm)],[])).
% 50.97/33.47 tff(24859,plain,
% 50.97/33.47 (((~nextState(constB192, constB193)) | v84(constB192, bitIndex0) | v94(constB193) | (~v84(constB193, bitIndex0))) <=> (v84(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex0)))),
% 50.97/33.47 inference(rewrite,[status(thm)],[])).
% 50.97/33.47 tff(24860,plain,
% 50.97/33.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v84(constB192, bitIndex0) | v94(constB193) | (~v84(constB193, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex0))))),
% 50.97/33.47 inference(monotonicity,[status(thm)],[24859])).
% 50.97/33.47 tff(24861,plain,
% 50.97/33.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v84(constB192, bitIndex0) | v94(constB193) | (~v84(constB193, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex0)))),
% 50.97/33.48 inference(transitivity,[status(thm)],[24860, 24858])).
% 50.97/33.48 tff(24862,plain,
% 50.97/33.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v84(constB192, bitIndex0) | v94(constB193) | (~v84(constB193, bitIndex0)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24863,plain,
% 50.97/33.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex0))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24862, 24861])).
% 50.97/33.48 tff(24864,plain,
% 50.97/33.48 (v84(constB192, bitIndex0) | v94(constB193) | (~v84(constB193, bitIndex0))),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24863, 184, 24777])).
% 50.97/33.48 tff(24865,plain,
% 50.97/33.48 (v84(constB192, bitIndex0) | (~v84(constB193, bitIndex0))),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24864, 24789])).
% 50.97/33.48 tff(24866,plain,
% 50.97/33.48 (~v84(constB193, bitIndex0)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24865, 24857])).
% 50.97/33.48 tff(24867,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB193, bitIndex0) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex2)) | v172(constB193))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB193, bitIndex0) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex2)) | v172(constB193))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24868,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB193, bitIndex0) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex2)) | v172(constB193))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24869,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB193, bitIndex0) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex2)) | v172(constB193)),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24868, 24867])).
% 50.97/33.48 tff(24870,plain,
% 50.97/33.48 (v172(constB193)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24869, 679, 24866, 24832, 24798])).
% 50.97/33.48 tff(24871,plain,
% 50.97/33.48 ($false),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24870, 23366])).
% 50.97/33.48 tff(24872,plain,(~(constB193 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.97/33.48 tff(24873,assumption,(constB113 = sK0_VarCurr), introduced(assumption)).
% 50.97/33.48 tff(24874,plain,
% 50.97/33.48 (v172(constB113) <=> v172(sK0_VarCurr)),
% 50.97/33.48 inference(monotonicity,[status(thm)],[24873])).
% 50.97/33.48 tff(24875,plain,
% 50.97/33.48 (v172(sK0_VarCurr) <=> v172(constB113)),
% 50.97/33.48 inference(symmetry,[status(thm)],[24874])).
% 50.97/33.48 tff(24876,plain,
% 50.97/33.48 ((~v172(sK0_VarCurr)) <=> (~v172(constB113))),
% 50.97/33.48 inference(monotonicity,[status(thm)],[24875])).
% 50.97/33.48 tff(24877,plain,
% 50.97/33.48 (~v172(constB113)),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[46, 24876])).
% 50.97/33.48 tff(24878,plain,
% 50.97/33.48 ($false),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[14846, 24877])).
% 50.97/33.48 tff(24879,plain,(~(constB113 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.97/33.48 tff(24880,assumption,(constB143 = sK0_VarCurr), introduced(assumption)).
% 50.97/33.48 tff(24881,plain,
% 50.97/33.48 (v172(constB143) <=> v172(sK0_VarCurr)),
% 50.97/33.48 inference(monotonicity,[status(thm)],[24880])).
% 50.97/33.48 tff(24882,plain,
% 50.97/33.48 (v172(sK0_VarCurr) <=> v172(constB143)),
% 50.97/33.48 inference(symmetry,[status(thm)],[24881])).
% 50.97/33.48 tff(24883,plain,
% 50.97/33.48 ((~v172(sK0_VarCurr)) <=> (~v172(constB143))),
% 50.97/33.48 inference(monotonicity,[status(thm)],[24882])).
% 50.97/33.48 tff(24884,plain,
% 50.97/33.48 (~v172(constB143)),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[46, 24883])).
% 50.97/33.48 tff(24885,plain,
% 50.97/33.48 ($false),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[18277, 24884])).
% 50.97/33.48 tff(24886,plain,(~(constB143 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.97/33.48 tff(24887,assumption,(constB101 = sK0_VarCurr), introduced(assumption)).
% 50.97/33.48 tff(24888,plain,
% 50.97/33.48 (v162(constB101) <=> v162(sK0_VarCurr)),
% 50.97/33.48 inference(monotonicity,[status(thm)],[24887])).
% 50.97/33.48 tff(24889,plain,
% 50.97/33.48 (v162(sK0_VarCurr) <=> v162(constB101)),
% 50.97/33.48 inference(symmetry,[status(thm)],[24888])).
% 50.97/33.48 tff(24890,plain,
% 50.97/33.48 (v162(constB101)),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[13315, 24889])).
% 50.97/33.48 tff(24891,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB95) | (~v144(constB95)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB95) | (~v144(constB95)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24892,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB95) | (~v144(constB95)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24893,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB95) | (~v144(constB95))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24892, 24891])).
% 50.97/33.48 tff(24894,plain,
% 50.97/33.48 (~v144(constB95)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24893, 13439, 12238])).
% 50.97/33.48 tff(24895,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB95) | (~v142(constB95)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB95) | (~v142(constB95)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24896,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB95) | (~v142(constB95)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24897,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB95) | (~v142(constB95))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24896, 24895])).
% 50.97/33.48 tff(24898,plain,
% 50.97/33.48 (~v142(constB95)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24897, 13453, 24894])).
% 50.97/33.48 tff(24899,assumption,(v18(constB96)), introduced(assumption)).
% 50.97/33.48 tff(24900,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB96))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24901,plain,
% 50.97/33.48 ($false),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24900, 13324, 24899])).
% 50.97/33.48 tff(24902,plain,(~v18(constB96)), inference(lemma,lemma(discharge,[]))).
% 50.97/33.48 tff(24903,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24904,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24905,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24904, 24903])).
% 50.97/33.48 tff(24906,plain,
% 50.97/33.48 (v22(constB96)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24905, 13337, 12200])).
% 50.97/33.48 tff(24907,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB96) | (~v22(constB96)) | (~v19(constB96)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB96) | (~v22(constB96)) | (~v19(constB96)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24908,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB96) | (~v22(constB96)) | (~v19(constB96)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24909,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB96) | (~v22(constB96)) | (~v19(constB96))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24908, 24907])).
% 50.97/33.48 tff(24910,plain,
% 50.97/33.48 (v18(constB96) | (~v19(constB96))),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24909, 13351, 24906])).
% 50.97/33.48 tff(24911,plain,
% 50.97/33.48 (~v19(constB96)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24910, 24902])).
% 50.97/33.48 tff(24912,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24913,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24914,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96)),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24913, 24912])).
% 50.97/33.48 tff(24915,plain,
% 50.97/33.48 (v13(constB96)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24914, 13363, 24911])).
% 50.97/33.48 tff(24916,plain,
% 50.97/33.48 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB95) | (~v13(constB96)) | (~nextState(constB95, constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB95) | (~v13(constB96)) | (~nextState(constB95, constB96)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24917,plain,
% 50.97/33.48 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB95) | (~v13(constB96)) | (~nextState(constB95, constB96)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24918,plain,
% 50.97/33.48 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB95) | (~v13(constB96)) | (~nextState(constB95, constB96))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24917, 24916])).
% 50.97/33.48 tff(24919,plain,
% 50.97/33.48 (v9(constB95) | (~v13(constB96))),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24918, 13377, 12180])).
% 50.97/33.48 tff(24920,plain,
% 50.97/33.48 (v9(constB95)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24919, 24915])).
% 50.97/33.48 tff(24921,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v141(constB95))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB95) | (~v9(constB95)) | v141(constB95))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24922,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v141(constB95))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24923,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB95) | (~v9(constB95)) | v141(constB95)),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24922, 24921])).
% 50.97/33.48 tff(24924,plain,
% 50.97/33.48 ((~v9(constB95)) | v141(constB95)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24923, 13392, 12064])).
% 50.97/33.48 tff(24925,plain,
% 50.97/33.48 (v141(constB95)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24924, 24920])).
% 50.97/33.48 tff(24926,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB95) | (~v141(constB95)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB95) | (~v141(constB95)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24927,plain,
% 50.97/33.48 (((~v141(constB95)) | v140(constB95)) <=> (v140(constB95) | (~v141(constB95)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24928,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB95)) | v140(constB95))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB95) | (~v141(constB95))))),
% 50.97/33.48 inference(monotonicity,[status(thm)],[24927])).
% 50.97/33.48 tff(24929,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB95)) | v140(constB95))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB95) | (~v141(constB95)))),
% 50.97/33.48 inference(transitivity,[status(thm)],[24928, 24926])).
% 50.97/33.48 tff(24930,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB95)) | v140(constB95))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24931,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB95) | (~v141(constB95))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24930, 24929])).
% 50.97/33.48 tff(24932,plain,
% 50.97/33.48 (v140(constB95)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24931, 13404, 24925])).
% 50.97/33.48 tff(24933,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB95)) | (~v140(constB95)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB95)) | (~v140(constB95)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24934,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB95)) | (~v140(constB95)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24935,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB95)) | (~v140(constB95))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24934, 24933])).
% 50.97/33.48 tff(24936,plain,
% 50.97/33.48 (~v138(constB95)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24935, 13495, 24932])).
% 50.97/33.48 tff(24937,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB95) | v142(constB95) | (~v135(constB95)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB95) | v142(constB95) | (~v135(constB95)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24938,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB95) | v142(constB95) | (~v135(constB95)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24939,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB95) | v142(constB95) | (~v135(constB95))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24938, 24937])).
% 50.97/33.48 tff(24940,plain,
% 50.97/33.48 (v142(constB95) | (~v135(constB95))),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24939, 13509, 24936])).
% 50.97/33.48 tff(24941,plain,
% 50.97/33.48 (~v135(constB95)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24940, 24898])).
% 50.97/33.48 tff(24942,plain,
% 50.97/33.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24943,plain,
% 50.97/33.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24944,plain,
% 50.97/33.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24943, 24942])).
% 50.97/33.48 tff(24945,plain,
% 50.97/33.48 (v135(constB95) | (~v137(constB96))),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24944, 13524, 12180])).
% 50.97/33.48 tff(24946,plain,
% 50.97/33.48 (~v137(constB96)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24945, 24941])).
% 50.97/33.48 tff(24947,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB96) | (~v138(constB96)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB96) | (~v138(constB96)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24948,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB96) | (~v138(constB96)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24949,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB96) | (~v138(constB96))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24948, 24947])).
% 50.97/33.48 tff(24950,plain,
% 50.97/33.48 (~v138(constB96)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24949, 13539, 24946])).
% 50.97/33.48 tff(24951,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB96)) | (~v141(constB96)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB96)) | (~v141(constB96)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24952,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB96)) | (~v141(constB96)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24953,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB96)) | (~v141(constB96))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24952, 24951])).
% 50.97/33.48 tff(24954,plain,
% 50.97/33.48 (~v141(constB96)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24953, 13553, 12200])).
% 50.97/33.48 tff(24955,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB96) | (~v144(constB96)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB96) | (~v144(constB96)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24956,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB96) | (~v144(constB96)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24957,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB96) | (~v144(constB96))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24956, 24955])).
% 50.97/33.48 tff(24958,plain,
% 50.97/33.48 (~v144(constB96)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24957, 13567, 24954])).
% 50.97/33.48 tff(24959,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB96) | (~v142(constB96)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB96) | (~v142(constB96)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24960,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB96) | (~v142(constB96)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24961,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB96) | (~v142(constB96))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24960, 24959])).
% 50.97/33.48 tff(24962,plain,
% 50.97/33.48 (~v142(constB96)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24961, 13453, 24958])).
% 50.97/33.48 tff(24963,plain,
% 50.97/33.48 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB96) | v142(constB96) | (~v135(constB96)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB96) | v142(constB96) | (~v135(constB96)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24964,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB96) | v142(constB96) | (~v135(constB96)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24965,plain,
% 50.97/33.48 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB96) | v142(constB96) | (~v135(constB96))),
% 50.97/33.48 inference(modus_ponens,[status(thm)],[24964, 24963])).
% 50.97/33.48 tff(24966,plain,
% 50.97/33.48 (v138(constB96) | (~v135(constB96))),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24965, 13509, 24962])).
% 50.97/33.48 tff(24967,plain,
% 50.97/33.48 (~v135(constB96)),
% 50.97/33.48 inference(unit_resolution,[status(thm)],[24966, 24950])).
% 50.97/33.48 tff(24968,plain,
% 50.97/33.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97)))),
% 50.97/33.48 inference(rewrite,[status(thm)],[])).
% 50.97/33.48 tff(24969,plain,
% 50.97/33.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97)))),
% 50.97/33.48 inference(quant_inst,[status(thm)],[])).
% 50.97/33.48 tff(24970,plain,
% 50.97/33.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[24969, 24968])).
% 50.97/33.49 tff(24971,plain,
% 50.97/33.49 (v135(constB96) | (~v137(constB97))),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[24970, 13524, 12269])).
% 50.97/33.49 tff(24972,plain,
% 50.97/33.49 (~v137(constB97)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[24971, 24967])).
% 50.97/33.49 tff(24973,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB97) | (~v154(constB97)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB97) | (~v154(constB97)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(24974,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB97) | (~v154(constB97)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(24975,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB97) | (~v154(constB97))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[24974, 24973])).
% 50.97/33.49 tff(24976,plain,
% 50.97/33.49 (~v154(constB97)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[24975, 13595, 24972])).
% 50.97/33.49 tff(24977,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB93)) | (~v84(constB93, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB93)) | (~v84(constB93, bitIndex2)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(24978,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB93)) | (~v84(constB93, bitIndex2)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(24979,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB93)) | (~v84(constB93, bitIndex2))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[24978, 24977])).
% 50.97/33.49 tff(24980,plain,
% 50.97/33.49 (~v145(constB93)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[24979, 4483, 11896])).
% 50.97/33.49 tff(24981,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB93) | (~v144(constB93)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB93) | (~v144(constB93)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(24982,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB93) | (~v144(constB93)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(24983,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB93) | (~v144(constB93))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[24982, 24981])).
% 50.97/33.49 tff(24984,plain,
% 50.97/33.49 (~v144(constB93)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[24983, 13439, 24980])).
% 50.97/33.49 tff(24985,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB93) | (~v142(constB93)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB93) | (~v142(constB93)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(24986,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB93) | (~v142(constB93)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(24987,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB93) | (~v142(constB93))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[24986, 24985])).
% 50.97/33.49 tff(24988,plain,
% 50.97/33.49 (~v142(constB93)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[24987, 13453, 24984])).
% 50.97/33.49 tff(24989,assumption,(v18(constB94)), introduced(assumption)).
% 50.97/33.49 tff(24990,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB94))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(24991,plain,
% 50.97/33.49 ($false),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[24990, 13324, 24989])).
% 50.97/33.49 tff(24992,plain,(~v18(constB94)), inference(lemma,lemma(discharge,[]))).
% 50.97/33.49 tff(24993,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(24994,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(24995,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[24994, 24993])).
% 50.97/33.49 tff(24996,plain,
% 50.97/33.49 (v22(constB94)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[24995, 13337, 12025])).
% 50.97/33.49 tff(24997,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB94) | (~v22(constB94)) | (~v19(constB94)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB94) | (~v22(constB94)) | (~v19(constB94)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(24998,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB94) | (~v22(constB94)) | (~v19(constB94)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(24999,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB94) | (~v22(constB94)) | (~v19(constB94))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[24998, 24997])).
% 50.97/33.49 tff(25000,plain,
% 50.97/33.49 (v18(constB94) | (~v19(constB94))),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[24999, 13351, 24996])).
% 50.97/33.49 tff(25001,plain,
% 50.97/33.49 (~v19(constB94)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25000, 24992])).
% 50.97/33.49 tff(25002,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25003,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25004,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94)),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25003, 25002])).
% 50.97/33.49 tff(25005,plain,
% 50.97/33.49 (v13(constB94)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25004, 13363, 25001])).
% 50.97/33.49 tff(25006,plain,
% 50.97/33.49 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25007,plain,
% 50.97/33.49 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25008,plain,
% 50.97/33.49 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25007, 25006])).
% 50.97/33.49 tff(25009,plain,
% 50.97/33.49 (v9(constB93) | (~v13(constB94))),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25008, 13377, 12005])).
% 50.97/33.49 tff(25010,plain,
% 50.97/33.49 (v9(constB93)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25009, 25005])).
% 50.97/33.49 tff(25011,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v141(constB93))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB93) | (~v9(constB93)) | v141(constB93))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25012,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v141(constB93))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25013,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB93) | (~v9(constB93)) | v141(constB93)),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25012, 25011])).
% 50.97/33.49 tff(25014,plain,
% 50.97/33.49 ((~v9(constB93)) | v141(constB93)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25013, 13392, 11872])).
% 50.97/33.49 tff(25015,plain,
% 50.97/33.49 (v141(constB93)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25014, 25010])).
% 50.97/33.49 tff(25016,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB93)) | v140(constB93))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB93)) | v140(constB93))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25017,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB93)) | v140(constB93))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25018,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB93)) | v140(constB93)),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25017, 25016])).
% 50.97/33.49 tff(25019,plain,
% 50.97/33.49 (v140(constB93)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25018, 13404, 25015])).
% 50.97/33.49 tff(25020,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB93)) | (~v140(constB93)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB93)) | (~v140(constB93)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25021,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB93)) | (~v140(constB93)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25022,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB93)) | (~v140(constB93))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25021, 25020])).
% 50.97/33.49 tff(25023,plain,
% 50.97/33.49 (~v138(constB93)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25022, 13495, 25019])).
% 50.97/33.49 tff(25024,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB93) | v142(constB93) | (~v135(constB93)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB93) | v142(constB93) | (~v135(constB93)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25025,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB93) | v142(constB93) | (~v135(constB93)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25026,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB93) | v142(constB93) | (~v135(constB93))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25025, 25024])).
% 50.97/33.49 tff(25027,plain,
% 50.97/33.49 (v142(constB93) | (~v135(constB93))),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25026, 13509, 25023])).
% 50.97/33.49 tff(25028,plain,
% 50.97/33.49 (~v135(constB93)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25027, 24988])).
% 50.97/33.49 tff(25029,plain,
% 50.97/33.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25030,plain,
% 50.97/33.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25031,plain,
% 50.97/33.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25030, 25029])).
% 50.97/33.49 tff(25032,plain,
% 50.97/33.49 (v135(constB93) | (~v137(constB94))),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25031, 13524, 12005])).
% 50.97/33.49 tff(25033,plain,
% 50.97/33.49 (~v137(constB94)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25032, 25028])).
% 50.97/33.49 tff(25034,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB94) | (~v138(constB94)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB94) | (~v138(constB94)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25035,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB94) | (~v138(constB94)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25036,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB94) | (~v138(constB94))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25035, 25034])).
% 50.97/33.49 tff(25037,plain,
% 50.97/33.49 (~v138(constB94)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25036, 13539, 25033])).
% 50.97/33.49 tff(25038,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB94)) | (~v141(constB94)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB94)) | (~v141(constB94)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25039,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB94)) | (~v141(constB94)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25040,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB94)) | (~v141(constB94))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25039, 25038])).
% 50.97/33.49 tff(25041,plain,
% 50.97/33.49 (~v141(constB94)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25040, 13553, 12025])).
% 50.97/33.49 tff(25042,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB94) | (~v144(constB94)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB94) | (~v144(constB94)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25043,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB94) | (~v144(constB94)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25044,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB94) | (~v144(constB94))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25043, 25042])).
% 50.97/33.49 tff(25045,plain,
% 50.97/33.49 (~v144(constB94)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25044, 13567, 25041])).
% 50.97/33.49 tff(25046,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB94) | (~v142(constB94)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB94) | (~v142(constB94)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25047,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB94) | (~v142(constB94)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25048,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB94) | (~v142(constB94))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25047, 25046])).
% 50.97/33.49 tff(25049,plain,
% 50.97/33.49 (~v142(constB94)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25048, 13453, 25045])).
% 50.97/33.49 tff(25050,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB94) | v142(constB94) | (~v135(constB94)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB94) | v142(constB94) | (~v135(constB94)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25051,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB94) | v142(constB94) | (~v135(constB94)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25052,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB94) | v142(constB94) | (~v135(constB94))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25051, 25050])).
% 50.97/33.49 tff(25053,plain,
% 50.97/33.49 (v138(constB94) | (~v135(constB94))),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25052, 13509, 25049])).
% 50.97/33.49 tff(25054,plain,
% 50.97/33.49 (~v135(constB94)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25053, 25037])).
% 50.97/33.49 tff(25055,plain,
% 50.97/33.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25056,plain,
% 50.97/33.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25057,plain,
% 50.97/33.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25056, 25055])).
% 50.97/33.49 tff(25058,plain,
% 50.97/33.49 (v135(constB94) | (~v137(constB95))),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25057, 13524, 12067])).
% 50.97/33.49 tff(25059,plain,
% 50.97/33.49 (~v137(constB95)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25058, 25054])).
% 50.97/33.49 tff(25060,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB95) | (~v154(constB95)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB95) | (~v154(constB95)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25061,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB95) | (~v154(constB95)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25062,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB95) | (~v154(constB95))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25061, 25060])).
% 50.97/33.49 tff(25063,plain,
% 50.97/33.49 (~v154(constB95)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25062, 13595, 25059])).
% 50.97/33.49 tff(25064,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB95)) | (~v153(constB95)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB95)) | (~v153(constB95)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25065,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB95)) | (~v153(constB95)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25066,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB95)) | (~v153(constB95))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25065, 25064])).
% 50.97/33.49 tff(25067,plain,
% 50.97/33.49 (~v153(constB95)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25066, 13640, 24932])).
% 50.97/33.49 tff(25068,plain,
% 50.97/33.49 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB95) | v154(constB95) | (~v150(constB95)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB95) | v154(constB95) | (~v150(constB95)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25069,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB95) | v154(constB95) | (~v150(constB95)))),
% 50.97/33.49 inference(quant_inst,[status(thm)],[])).
% 50.97/33.49 tff(25070,plain,
% 50.97/33.49 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB95) | v154(constB95) | (~v150(constB95))),
% 50.97/33.49 inference(modus_ponens,[status(thm)],[25069, 25068])).
% 50.97/33.49 tff(25071,plain,
% 50.97/33.49 (v154(constB95) | (~v150(constB95))),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25070, 13654, 25067])).
% 50.97/33.49 tff(25072,plain,
% 50.97/33.49 (~v150(constB95)),
% 50.97/33.49 inference(unit_resolution,[status(thm)],[25071, 25063])).
% 50.97/33.49 tff(25073,plain,
% 50.97/33.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96)))),
% 50.97/33.49 inference(rewrite,[status(thm)],[])).
% 50.97/33.49 tff(25074,plain,
% 50.97/33.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25075,plain,
% 50.97/33.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25074, 25073])).
% 50.97/33.50 tff(25076,plain,
% 50.97/33.50 (v150(constB95) | (~v152(constB96))),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25075, 13669, 12180])).
% 50.97/33.50 tff(25077,plain,
% 50.97/33.50 (~v152(constB96)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25076, 25072])).
% 50.97/33.50 tff(25078,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB96) | (~v153(constB96)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB96) | (~v153(constB96)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25079,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB96) | (~v153(constB96)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25080,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB96) | (~v153(constB96))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25079, 25078])).
% 50.97/33.50 tff(25081,plain,
% 50.97/33.50 (~v153(constB96)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25080, 13684, 25077])).
% 50.97/33.50 tff(25082,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB96) | (~v155(constB96)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB96) | (~v155(constB96)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25083,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB96) | (~v155(constB96)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25084,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB96) | (~v155(constB96))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25083, 25082])).
% 50.97/33.50 tff(25085,plain,
% 50.97/33.50 (~v155(constB96)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25084, 13702, 24954])).
% 50.97/33.50 tff(25086,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB96) | (~v154(constB96)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB96) | (~v154(constB96)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25087,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB96) | (~v154(constB96)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25088,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB96) | (~v154(constB96))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25087, 25086])).
% 50.97/33.50 tff(25089,plain,
% 50.97/33.50 (~v154(constB96)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25088, 13716, 25085])).
% 50.97/33.50 tff(25090,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB96) | v154(constB96) | (~v150(constB96)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB96) | v154(constB96) | (~v150(constB96)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25091,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB96) | v154(constB96) | (~v150(constB96)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25092,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB96) | v154(constB96) | (~v150(constB96))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25091, 25090])).
% 50.97/33.50 tff(25093,plain,
% 50.97/33.50 (v153(constB96) | (~v150(constB96))),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25092, 13654, 25089])).
% 50.97/33.50 tff(25094,plain,
% 50.97/33.50 (~v150(constB96)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25093, 25081])).
% 50.97/33.50 tff(25095,plain,
% 50.97/33.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25096,plain,
% 50.97/33.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25097,plain,
% 50.97/33.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25096, 25095])).
% 50.97/33.50 tff(25098,plain,
% 50.97/33.50 (v150(constB96) | (~v152(constB97))),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25097, 13669, 12269])).
% 50.97/33.50 tff(25099,plain,
% 50.97/33.50 (~v152(constB97)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25098, 25094])).
% 50.97/33.50 tff(25100,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB97) | (~v153(constB97)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB97) | (~v153(constB97)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25101,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB97) | (~v153(constB97)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25102,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB97) | (~v153(constB97))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25101, 25100])).
% 50.97/33.50 tff(25103,plain,
% 50.97/33.50 (~v153(constB97)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25102, 13684, 25099])).
% 50.97/33.50 tff(25104,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB97) | v154(constB97) | (~v150(constB97)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB97) | v154(constB97) | (~v150(constB97)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25105,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB97) | v154(constB97) | (~v150(constB97)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25106,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB97) | v154(constB97) | (~v150(constB97))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25105, 25104])).
% 50.97/33.50 tff(25107,plain,
% 50.97/33.50 (v154(constB97) | (~v150(constB97))),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25106, 13654, 25103])).
% 50.97/33.50 tff(25108,plain,
% 50.97/33.50 (~v150(constB97)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25107, 24976])).
% 50.97/33.50 tff(25109,plain,
% 50.97/33.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25110,plain,
% 50.97/33.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25111,plain,
% 50.97/33.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25110, 25109])).
% 50.97/33.50 tff(25112,plain,
% 50.97/33.50 (v150(constB97) | (~v152(constB98))),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25111, 13669, 12423])).
% 50.97/33.50 tff(25113,plain,
% 50.97/33.50 (~v152(constB98)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25112, 25108])).
% 50.97/33.50 tff(25114,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB98) | (~v153(constB98)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB98) | (~v153(constB98)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25115,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB98) | (~v153(constB98)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25116,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB98) | (~v153(constB98))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25115, 25114])).
% 50.97/33.50 tff(25117,plain,
% 50.97/33.50 (~v153(constB98)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25116, 13684, 25113])).
% 50.97/33.50 tff(25118,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB98)) | (~v141(constB98)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB98)) | (~v141(constB98)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25119,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB98)) | (~v141(constB98)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25120,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB98)) | (~v141(constB98))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25119, 25118])).
% 50.97/33.50 tff(25121,plain,
% 50.97/33.50 (~v141(constB98)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25120, 13553, 12443])).
% 50.97/33.50 tff(25122,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB98) | (~v155(constB98)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB98) | (~v155(constB98)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25123,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB98) | (~v155(constB98)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25124,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB98) | (~v155(constB98))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25123, 25122])).
% 50.97/33.50 tff(25125,plain,
% 50.97/33.50 (~v155(constB98)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25124, 13702, 25121])).
% 50.97/33.50 tff(25126,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB98) | (~v154(constB98)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB98) | (~v154(constB98)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25127,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB98) | (~v154(constB98)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25128,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB98) | (~v154(constB98))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25127, 25126])).
% 50.97/33.50 tff(25129,plain,
% 50.97/33.50 (~v154(constB98)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25128, 13716, 25125])).
% 50.97/33.50 tff(25130,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB98) | v154(constB98) | (~v150(constB98)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB98) | v154(constB98) | (~v150(constB98)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25131,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB98) | v154(constB98) | (~v150(constB98)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25132,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB98) | v154(constB98) | (~v150(constB98))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25131, 25130])).
% 50.97/33.50 tff(25133,plain,
% 50.97/33.50 (v153(constB98) | (~v150(constB98))),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25132, 13654, 25129])).
% 50.97/33.50 tff(25134,plain,
% 50.97/33.50 (~v150(constB98)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25133, 25117])).
% 50.97/33.50 tff(25135,plain,
% 50.97/33.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25136,plain,
% 50.97/33.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25137,plain,
% 50.97/33.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25136, 25135])).
% 50.97/33.50 tff(25138,plain,
% 50.97/33.50 (v150(constB98) | (~v152(constB99))),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25137, 13669, 12493])).
% 50.97/33.50 tff(25139,plain,
% 50.97/33.50 (~v152(constB99)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25138, 25134])).
% 50.97/33.50 tff(25140,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB99) | (~v164(constB99)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB99) | (~v164(constB99)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25141,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB99) | (~v164(constB99)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25142,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB99) | (~v164(constB99))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25141, 25140])).
% 50.97/33.50 tff(25143,plain,
% 50.97/33.50 (~v164(constB99)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25142, 13740, 25139])).
% 50.97/33.50 tff(25144,assumption,(v18(constB100)), introduced(assumption)).
% 50.97/33.50 tff(25145,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB100))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25146,plain,
% 50.97/33.50 ($false),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25145, 13324, 25144])).
% 50.97/33.50 tff(25147,plain,(~v18(constB100)), inference(lemma,lemma(discharge,[]))).
% 50.97/33.50 tff(25148,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25149,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25150,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25149, 25148])).
% 50.97/33.50 tff(25151,plain,
% 50.97/33.50 (v22(constB100)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25150, 13337, 12638])).
% 50.97/33.50 tff(25152,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB100) | (~v22(constB100)) | (~v19(constB100)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB100) | (~v22(constB100)) | (~v19(constB100)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25153,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB100) | (~v22(constB100)) | (~v19(constB100)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25154,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB100) | (~v22(constB100)) | (~v19(constB100))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25153, 25152])).
% 50.97/33.50 tff(25155,plain,
% 50.97/33.50 (v18(constB100) | (~v19(constB100))),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25154, 13351, 25151])).
% 50.97/33.50 tff(25156,plain,
% 50.97/33.50 (~v19(constB100)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25155, 25147])).
% 50.97/33.50 tff(25157,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25158,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25159,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100)),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25158, 25157])).
% 50.97/33.50 tff(25160,plain,
% 50.97/33.50 (v13(constB100)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25159, 13363, 25156])).
% 50.97/33.50 tff(25161,plain,
% 50.97/33.50 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25162,plain,
% 50.97/33.50 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25163,plain,
% 50.97/33.50 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25162, 25161])).
% 50.97/33.50 tff(25164,plain,
% 50.97/33.50 (v9(constB99) | (~v13(constB100))),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25163, 13377, 12602])).
% 50.97/33.50 tff(25165,plain,
% 50.97/33.50 (v9(constB99)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25164, 25160])).
% 50.97/33.50 tff(25166,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v141(constB99))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB99) | (~v9(constB99)) | v141(constB99))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25167,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v141(constB99))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25168,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB99) | (~v9(constB99)) | v141(constB99)),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25167, 25166])).
% 50.97/33.50 tff(25169,plain,
% 50.97/33.50 ((~v9(constB99)) | v141(constB99)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25168, 13392, 12490])).
% 50.97/33.50 tff(25170,plain,
% 50.97/33.50 (v141(constB99)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25169, 25165])).
% 50.97/33.50 tff(25171,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB99)) | v140(constB99))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB99)) | v140(constB99))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25172,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB99)) | v140(constB99))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25173,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB99)) | v140(constB99)),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25172, 25171])).
% 50.97/33.50 tff(25174,plain,
% 50.97/33.50 (v140(constB99)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25173, 13404, 25170])).
% 50.97/33.50 tff(25175,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB99)) | (~v163(constB99)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB99)) | (~v163(constB99)))),
% 50.97/33.50 inference(rewrite,[status(thm)],[])).
% 50.97/33.50 tff(25176,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB99)) | (~v163(constB99)))),
% 50.97/33.50 inference(quant_inst,[status(thm)],[])).
% 50.97/33.50 tff(25177,plain,
% 50.97/33.50 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB99)) | (~v163(constB99))),
% 50.97/33.50 inference(modus_ponens,[status(thm)],[25176, 25175])).
% 50.97/33.50 tff(25178,plain,
% 50.97/33.50 (~v163(constB99)),
% 50.97/33.50 inference(unit_resolution,[status(thm)],[25177, 13421, 25174])).
% 50.97/33.50 tff(25179,plain,
% 50.97/33.50 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB99) | v164(constB99) | (~v160(constB99)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB99) | v164(constB99) | (~v160(constB99)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25180,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB99) | v164(constB99) | (~v160(constB99)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25181,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB99) | v164(constB99) | (~v160(constB99))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25180, 25179])).
% 50.97/33.52 tff(25182,plain,
% 50.97/33.52 (v164(constB99) | (~v160(constB99))),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25181, 13754, 25178])).
% 50.97/33.52 tff(25183,plain,
% 50.97/33.52 (~v160(constB99)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25182, 25143])).
% 50.97/33.52 tff(25184,plain,
% 50.97/33.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25185,plain,
% 50.97/33.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25186,plain,
% 50.97/33.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25185, 25184])).
% 50.97/33.52 tff(25187,plain,
% 50.97/33.52 (v160(constB99) | (~v162(constB100))),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25186, 13769, 12602])).
% 50.97/33.52 tff(25188,plain,
% 50.97/33.52 (~v162(constB100)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25187, 25183])).
% 50.97/33.52 tff(25189,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB100) | (~v163(constB100)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB100) | (~v163(constB100)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25190,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB100) | (~v163(constB100)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25191,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB100) | (~v163(constB100))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25190, 25189])).
% 50.97/33.52 tff(25192,plain,
% 50.97/33.52 (~v163(constB100)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25191, 13784, 25188])).
% 50.97/33.52 tff(25193,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB100)) | (~v141(constB100)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB100)) | (~v141(constB100)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25194,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB100)) | (~v141(constB100)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25195,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB100)) | (~v141(constB100))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25194, 25193])).
% 50.97/33.52 tff(25196,plain,
% 50.97/33.52 (~v141(constB100)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25195, 13553, 12638])).
% 50.97/33.52 tff(25197,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB100) | (~v155(constB100)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB100) | (~v155(constB100)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25198,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB100) | (~v155(constB100)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25199,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB100) | (~v155(constB100))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25198, 25197])).
% 50.97/33.52 tff(25200,plain,
% 50.97/33.52 (~v155(constB100)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25199, 13702, 25196])).
% 50.97/33.52 tff(25201,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB100) | (~v164(constB100)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB100) | (~v164(constB100)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25202,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB100) | (~v164(constB100)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25203,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB100) | (~v164(constB100))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25202, 25201])).
% 50.97/33.52 tff(25204,plain,
% 50.97/33.52 (~v164(constB100)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25203, 13806, 25200])).
% 50.97/33.52 tff(25205,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB100) | v164(constB100) | (~v160(constB100)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB100) | v164(constB100) | (~v160(constB100)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25206,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB100) | v164(constB100) | (~v160(constB100)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25207,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB100) | v164(constB100) | (~v160(constB100))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25206, 25205])).
% 50.97/33.52 tff(25208,plain,
% 50.97/33.52 (v163(constB100) | (~v160(constB100))),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25207, 13754, 25204])).
% 50.97/33.52 tff(25209,plain,
% 50.97/33.52 (~v160(constB100)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25208, 25192])).
% 50.97/33.52 tff(25210,plain,
% 50.97/33.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25211,plain,
% 50.97/33.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25212,plain,
% 50.97/33.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25211, 25210])).
% 50.97/33.52 tff(25213,plain,
% 50.97/33.52 (v160(constB100) | (~v162(constB101))),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25212, 13769, 13038])).
% 50.97/33.52 tff(25214,plain,
% 50.97/33.52 (~v162(constB101)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25213, 25209])).
% 50.97/33.52 tff(25215,plain,
% 50.97/33.52 ($false),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25214, 24890])).
% 50.97/33.52 tff(25216,plain,(~(constB101 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.97/33.52 tff(25217,assumption,(constB57 = sK0_VarCurr), introduced(assumption)).
% 50.97/33.52 tff(25218,plain,
% 50.97/33.52 (v162(constB57) <=> v162(sK0_VarCurr)),
% 50.97/33.52 inference(monotonicity,[status(thm)],[25217])).
% 50.97/33.52 tff(25219,plain,
% 50.97/33.52 (v162(sK0_VarCurr) <=> v162(constB57)),
% 50.97/33.52 inference(symmetry,[status(thm)],[25218])).
% 50.97/33.52 tff(25220,plain,
% 50.97/33.52 (v162(constB57)),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[13315, 25219])).
% 50.97/33.52 tff(25221,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB51)) | (~v84(constB51, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB51)) | (~v84(constB51, bitIndex1)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25222,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB51)) | (~v84(constB51, bitIndex1)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25223,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB51)) | (~v84(constB51, bitIndex1))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25222, 25221])).
% 50.97/33.52 tff(25224,plain,
% 50.97/33.52 (~v145(constB51)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25223, 1091, 7284])).
% 50.97/33.52 tff(25225,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB51) | (~v144(constB51)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB51) | (~v144(constB51)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25226,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB51) | (~v144(constB51)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25227,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB51) | (~v144(constB51))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25226, 25225])).
% 50.97/33.52 tff(25228,plain,
% 50.97/33.52 (~v144(constB51)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25227, 13439, 25224])).
% 50.97/33.52 tff(25229,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB51) | (~v142(constB51)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB51) | (~v142(constB51)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25230,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB51) | (~v142(constB51)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25231,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB51) | (~v142(constB51))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25230, 25229])).
% 50.97/33.52 tff(25232,plain,
% 50.97/33.52 (~v142(constB51)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25231, 13453, 25228])).
% 50.97/33.52 tff(25233,assumption,(v18(constB52)), introduced(assumption)).
% 50.97/33.52 tff(25234,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB52))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25235,plain,
% 50.97/33.52 ($false),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25234, 13324, 25233])).
% 50.97/33.52 tff(25236,plain,(~v18(constB52)), inference(lemma,lemma(discharge,[]))).
% 50.97/33.52 tff(25237,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25238,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25239,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25238, 25237])).
% 50.97/33.52 tff(25240,plain,
% 50.97/33.52 (v22(constB52)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25239, 13337, 7358])).
% 50.97/33.52 tff(25241,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB52) | (~v22(constB52)) | (~v19(constB52)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB52) | (~v22(constB52)) | (~v19(constB52)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25242,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB52) | (~v22(constB52)) | (~v19(constB52)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25243,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB52) | (~v22(constB52)) | (~v19(constB52))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25242, 25241])).
% 50.97/33.52 tff(25244,plain,
% 50.97/33.52 (v18(constB52) | (~v19(constB52))),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25243, 13351, 25240])).
% 50.97/33.52 tff(25245,plain,
% 50.97/33.52 (~v19(constB52)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25244, 25236])).
% 50.97/33.52 tff(25246,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25247,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25248,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52)),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25247, 25246])).
% 50.97/33.52 tff(25249,plain,
% 50.97/33.52 (v13(constB52)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25248, 13363, 25245])).
% 50.97/33.52 tff(25250,plain,
% 50.97/33.52 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25251,plain,
% 50.97/33.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25252,plain,
% 50.97/33.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25251, 25250])).
% 50.97/33.52 tff(25253,plain,
% 50.97/33.52 (v9(constB51) | (~v13(constB52))),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25252, 13377, 7338])).
% 50.97/33.52 tff(25254,plain,
% 50.97/33.52 (v9(constB51)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25253, 25249])).
% 50.97/33.52 tff(25255,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v141(constB51))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB51) | (~v9(constB51)) | v141(constB51))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25256,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v141(constB51))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25257,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB51) | (~v9(constB51)) | v141(constB51)),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25256, 25255])).
% 50.97/33.52 tff(25258,plain,
% 50.97/33.52 ((~v9(constB51)) | v141(constB51)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25257, 13392, 7229])).
% 50.97/33.52 tff(25259,plain,
% 50.97/33.52 (v141(constB51)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25258, 25254])).
% 50.97/33.52 tff(25260,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB51) | (~v141(constB51)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB51) | (~v141(constB51)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25261,plain,
% 50.97/33.52 (((~v141(constB51)) | v140(constB51)) <=> (v140(constB51) | (~v141(constB51)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25262,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB51)) | v140(constB51))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB51) | (~v141(constB51))))),
% 50.97/33.52 inference(monotonicity,[status(thm)],[25261])).
% 50.97/33.52 tff(25263,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB51)) | v140(constB51))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB51) | (~v141(constB51)))),
% 50.97/33.52 inference(transitivity,[status(thm)],[25262, 25260])).
% 50.97/33.52 tff(25264,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB51)) | v140(constB51))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25265,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB51) | (~v141(constB51))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25264, 25263])).
% 50.97/33.52 tff(25266,plain,
% 50.97/33.52 (v140(constB51)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25265, 13404, 25259])).
% 50.97/33.52 tff(25267,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB51)) | (~v140(constB51)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB51)) | (~v140(constB51)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25268,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB51)) | (~v140(constB51)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25269,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB51)) | (~v140(constB51))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25268, 25267])).
% 50.97/33.52 tff(25270,plain,
% 50.97/33.52 (~v138(constB51)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25269, 13495, 25266])).
% 50.97/33.52 tff(25271,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB51) | v142(constB51) | (~v135(constB51)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB51) | v142(constB51) | (~v135(constB51)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25272,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB51) | v142(constB51) | (~v135(constB51)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25273,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB51) | v142(constB51) | (~v135(constB51))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25272, 25271])).
% 50.97/33.52 tff(25274,plain,
% 50.97/33.52 (v142(constB51) | (~v135(constB51))),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25273, 13509, 25270])).
% 50.97/33.52 tff(25275,plain,
% 50.97/33.52 (~v135(constB51)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25274, 25232])).
% 50.97/33.52 tff(25276,plain,
% 50.97/33.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB51, constB52)) | v135(constB51) | (~v137(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB51, constB52)) | v135(constB51) | (~v137(constB52)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25277,plain,
% 50.97/33.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB51, constB52)) | v135(constB51) | (~v137(constB52)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25278,plain,
% 50.97/33.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB51, constB52)) | v135(constB51) | (~v137(constB52))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25277, 25276])).
% 50.97/33.52 tff(25279,plain,
% 50.97/33.52 (v135(constB51) | (~v137(constB52))),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25278, 13524, 7338])).
% 50.97/33.52 tff(25280,plain,
% 50.97/33.52 (~v137(constB52)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25279, 25275])).
% 50.97/33.52 tff(25281,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB52) | (~v138(constB52)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB52) | (~v138(constB52)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25282,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB52) | (~v138(constB52)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25283,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB52) | (~v138(constB52))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25282, 25281])).
% 50.97/33.52 tff(25284,plain,
% 50.97/33.52 (~v138(constB52)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25283, 13539, 25280])).
% 50.97/33.52 tff(25285,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB52)) | (~v141(constB52)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB52)) | (~v141(constB52)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25286,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB52)) | (~v141(constB52)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25287,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB52)) | (~v141(constB52))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25286, 25285])).
% 50.97/33.52 tff(25288,plain,
% 50.97/33.52 (~v141(constB52)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25287, 13553, 7358])).
% 50.97/33.52 tff(25289,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB52) | (~v144(constB52)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB52) | (~v144(constB52)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25290,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB52) | (~v144(constB52)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25291,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB52) | (~v144(constB52))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25290, 25289])).
% 50.97/33.52 tff(25292,plain,
% 50.97/33.52 (~v144(constB52)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25291, 13567, 25288])).
% 50.97/33.52 tff(25293,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB52) | (~v142(constB52)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB52) | (~v142(constB52)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25294,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB52) | (~v142(constB52)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25295,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB52) | (~v142(constB52))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25294, 25293])).
% 50.97/33.52 tff(25296,plain,
% 50.97/33.52 (~v142(constB52)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25295, 13453, 25292])).
% 50.97/33.52 tff(25297,plain,
% 50.97/33.52 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB52) | v142(constB52) | (~v135(constB52)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB52) | v142(constB52) | (~v135(constB52)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25298,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB52) | v142(constB52) | (~v135(constB52)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25299,plain,
% 50.97/33.52 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB52) | v142(constB52) | (~v135(constB52))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25298, 25297])).
% 50.97/33.52 tff(25300,plain,
% 50.97/33.52 (v138(constB52) | (~v135(constB52))),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25299, 13509, 25296])).
% 50.97/33.52 tff(25301,plain,
% 50.97/33.52 (~v135(constB52)),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25300, 25284])).
% 50.97/33.52 tff(25302,plain,
% 50.97/33.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB52, constB53)) | v135(constB52) | (~v137(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB52, constB53)) | v135(constB52) | (~v137(constB53)))),
% 50.97/33.52 inference(rewrite,[status(thm)],[])).
% 50.97/33.52 tff(25303,plain,
% 50.97/33.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB52, constB53)) | v135(constB52) | (~v137(constB53)))),
% 50.97/33.52 inference(quant_inst,[status(thm)],[])).
% 50.97/33.52 tff(25304,plain,
% 50.97/33.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB52, constB53)) | v135(constB52) | (~v137(constB53))),
% 50.97/33.52 inference(modus_ponens,[status(thm)],[25303, 25302])).
% 50.97/33.52 tff(25305,plain,
% 50.97/33.52 (v135(constB52) | (~v137(constB53))),
% 50.97/33.52 inference(unit_resolution,[status(thm)],[25304, 13524, 7400])).
% 50.97/33.52 tff(25306,plain,
% 51.05/33.52 (~v137(constB53)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25305, 25301])).
% 51.05/33.52 tff(25307,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB53) | (~v154(constB53)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB53) | (~v154(constB53)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25308,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB53) | (~v154(constB53)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25309,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB53) | (~v154(constB53))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25308, 25307])).
% 51.05/33.52 tff(25310,plain,
% 51.05/33.52 (~v154(constB53)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25309, 13595, 25306])).
% 51.05/33.52 tff(25311,assumption,(v18(constB54)), introduced(assumption)).
% 51.05/33.52 tff(25312,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB54))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25313,plain,
% 51.05/33.52 ($false),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25312, 13324, 25311])).
% 51.05/33.52 tff(25314,plain,(~v18(constB54)), inference(lemma,lemma(discharge,[]))).
% 51.05/33.52 tff(25315,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25316,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25317,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25316, 25315])).
% 51.05/33.52 tff(25318,plain,
% 51.05/33.52 (v22(constB54)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25317, 13337, 7550])).
% 51.05/33.52 tff(25319,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB54) | (~v22(constB54)) | (~v19(constB54)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB54) | (~v22(constB54)) | (~v19(constB54)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25320,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB54) | (~v22(constB54)) | (~v19(constB54)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25321,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB54) | (~v22(constB54)) | (~v19(constB54))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25320, 25319])).
% 51.05/33.52 tff(25322,plain,
% 51.05/33.52 (v18(constB54) | (~v19(constB54))),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25321, 13351, 25318])).
% 51.05/33.52 tff(25323,plain,
% 51.05/33.52 (~v19(constB54)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25322, 25314])).
% 51.05/33.52 tff(25324,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25325,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25326,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54)),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25325, 25324])).
% 51.05/33.52 tff(25327,plain,
% 51.05/33.52 (v13(constB54)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25326, 13363, 25323])).
% 51.05/33.52 tff(25328,plain,
% 51.05/33.52 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25329,plain,
% 51.05/33.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25330,plain,
% 51.05/33.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25329, 25328])).
% 51.05/33.52 tff(25331,plain,
% 51.05/33.52 (v9(constB53) | (~v13(constB54))),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25330, 13377, 7530])).
% 51.05/33.52 tff(25332,plain,
% 51.05/33.52 (v9(constB53)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25331, 25327])).
% 51.05/33.52 tff(25333,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v141(constB53))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB53) | (~v9(constB53)) | v141(constB53))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25334,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v141(constB53))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25335,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB53) | (~v9(constB53)) | v141(constB53)),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25334, 25333])).
% 51.05/33.52 tff(25336,plain,
% 51.05/33.52 ((~v9(constB53)) | v141(constB53)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25335, 13392, 7397])).
% 51.05/33.52 tff(25337,plain,
% 51.05/33.52 (v141(constB53)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25336, 25332])).
% 51.05/33.52 tff(25338,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB53)) | v140(constB53))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB53)) | v140(constB53))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25339,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB53)) | v140(constB53))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25340,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB53)) | v140(constB53)),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25339, 25338])).
% 51.05/33.52 tff(25341,plain,
% 51.05/33.52 (v140(constB53)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25340, 13404, 25337])).
% 51.05/33.52 tff(25342,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB53)) | (~v153(constB53)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB53)) | (~v153(constB53)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25343,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB53)) | (~v153(constB53)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25344,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB53)) | (~v153(constB53))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25343, 25342])).
% 51.05/33.52 tff(25345,plain,
% 51.05/33.52 (~v153(constB53)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25344, 13640, 25341])).
% 51.05/33.52 tff(25346,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB53) | v154(constB53) | (~v150(constB53)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB53) | v154(constB53) | (~v150(constB53)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25347,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB53) | v154(constB53) | (~v150(constB53)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25348,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB53) | v154(constB53) | (~v150(constB53))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25347, 25346])).
% 51.05/33.52 tff(25349,plain,
% 51.05/33.52 (v154(constB53) | (~v150(constB53))),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25348, 13654, 25345])).
% 51.05/33.52 tff(25350,plain,
% 51.05/33.52 (~v150(constB53)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25349, 25310])).
% 51.05/33.52 tff(25351,plain,
% 51.05/33.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB53, constB54)) | v150(constB53) | (~v152(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB53, constB54)) | v150(constB53) | (~v152(constB54)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25352,plain,
% 51.05/33.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB53, constB54)) | v150(constB53) | (~v152(constB54)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25353,plain,
% 51.05/33.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB53, constB54)) | v150(constB53) | (~v152(constB54))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25352, 25351])).
% 51.05/33.52 tff(25354,plain,
% 51.05/33.52 (v150(constB53) | (~v152(constB54))),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25353, 13669, 7530])).
% 51.05/33.52 tff(25355,plain,
% 51.05/33.52 (~v152(constB54)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25354, 25350])).
% 51.05/33.52 tff(25356,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB54) | (~v153(constB54)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB54) | (~v153(constB54)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25357,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB54) | (~v153(constB54)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25358,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB54) | (~v153(constB54))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25357, 25356])).
% 51.05/33.52 tff(25359,plain,
% 51.05/33.52 (~v153(constB54)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25358, 13684, 25355])).
% 51.05/33.52 tff(25360,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB54)) | (~v141(constB54)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB54)) | (~v141(constB54)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25361,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB54)) | (~v141(constB54)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25362,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB54)) | (~v141(constB54))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25361, 25360])).
% 51.05/33.52 tff(25363,plain,
% 51.05/33.52 (~v141(constB54)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25362, 13553, 7550])).
% 51.05/33.52 tff(25364,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB54) | (~v155(constB54)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB54) | (~v155(constB54)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25365,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB54) | (~v155(constB54)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25366,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB54) | (~v155(constB54))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25365, 25364])).
% 51.05/33.52 tff(25367,plain,
% 51.05/33.52 (~v155(constB54)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25366, 13702, 25363])).
% 51.05/33.52 tff(25368,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB54) | (~v154(constB54)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB54) | (~v154(constB54)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25369,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB54) | (~v154(constB54)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25370,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB54) | (~v154(constB54))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25369, 25368])).
% 51.05/33.52 tff(25371,plain,
% 51.05/33.52 (~v154(constB54)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25370, 13716, 25367])).
% 51.05/33.52 tff(25372,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB54) | v154(constB54) | (~v150(constB54)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB54) | v154(constB54) | (~v150(constB54)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25373,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB54) | v154(constB54) | (~v150(constB54)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25374,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB54) | v154(constB54) | (~v150(constB54))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25373, 25372])).
% 51.05/33.52 tff(25375,plain,
% 51.05/33.52 (v153(constB54) | (~v150(constB54))),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25374, 13654, 25371])).
% 51.05/33.52 tff(25376,plain,
% 51.05/33.52 (~v150(constB54)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25375, 25359])).
% 51.05/33.52 tff(25377,plain,
% 51.05/33.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB54, constB55)) | v150(constB54) | (~v152(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB54, constB55)) | v150(constB54) | (~v152(constB55)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25378,plain,
% 51.05/33.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB54, constB55)) | v150(constB54) | (~v152(constB55)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25379,plain,
% 51.05/33.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB54, constB55)) | v150(constB54) | (~v152(constB55))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25378, 25377])).
% 51.05/33.52 tff(25380,plain,
% 51.05/33.52 (v150(constB54) | (~v152(constB55))),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25379, 13669, 7592])).
% 51.05/33.52 tff(25381,plain,
% 51.05/33.52 (~v152(constB55)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25380, 25376])).
% 51.05/33.52 tff(25382,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB55) | (~v164(constB55)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB55) | (~v164(constB55)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25383,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB55) | (~v164(constB55)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25384,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB55) | (~v164(constB55))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25383, 25382])).
% 51.05/33.52 tff(25385,plain,
% 51.05/33.52 (~v164(constB55)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25384, 13740, 25381])).
% 51.05/33.52 tff(25386,assumption,(v18(constB56)), introduced(assumption)).
% 51.05/33.52 tff(25387,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB56))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25388,plain,
% 51.05/33.52 ($false),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25387, 13324, 25386])).
% 51.05/33.52 tff(25389,plain,(~v18(constB56)), inference(lemma,lemma(discharge,[]))).
% 51.05/33.52 tff(25390,plain,
% 51.05/33.52 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56)))),
% 51.05/33.52 inference(rewrite,[status(thm)],[])).
% 51.05/33.52 tff(25391,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))),
% 51.05/33.52 inference(quant_inst,[status(thm)],[])).
% 51.05/33.52 tff(25392,plain,
% 51.05/33.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56))),
% 51.05/33.52 inference(modus_ponens,[status(thm)],[25391, 25390])).
% 51.05/33.52 tff(25393,plain,
% 51.05/33.52 (v22(constB56)),
% 51.05/33.52 inference(unit_resolution,[status(thm)],[25392, 13337, 7725])).
% 51.05/33.53 tff(25394,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB56) | (~v22(constB56)) | (~v19(constB56)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB56) | (~v22(constB56)) | (~v19(constB56)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25395,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB56) | (~v22(constB56)) | (~v19(constB56)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25396,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB56) | (~v22(constB56)) | (~v19(constB56))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25395, 25394])).
% 51.05/33.53 tff(25397,plain,
% 51.05/33.53 (v18(constB56) | (~v19(constB56))),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25396, 13351, 25393])).
% 51.05/33.53 tff(25398,plain,
% 51.05/33.53 (~v19(constB56)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25397, 25389])).
% 51.05/33.53 tff(25399,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25400,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25401,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56)),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25400, 25399])).
% 51.05/33.53 tff(25402,plain,
% 51.05/33.53 (v13(constB56)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25401, 13363, 25398])).
% 51.05/33.53 tff(25403,plain,
% 51.05/33.53 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25404,plain,
% 51.05/33.53 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25405,plain,
% 51.05/33.53 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25404, 25403])).
% 51.05/33.53 tff(25406,plain,
% 51.05/33.53 (v9(constB55) | (~v13(constB56))),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25405, 13377, 7705])).
% 51.05/33.53 tff(25407,plain,
% 51.05/33.53 (v9(constB55)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25406, 25402])).
% 51.05/33.53 tff(25408,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v141(constB55))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB55) | (~v9(constB55)) | v141(constB55))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25409,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v141(constB55))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25410,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB55) | (~v9(constB55)) | v141(constB55)),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25409, 25408])).
% 51.05/33.53 tff(25411,plain,
% 51.05/33.53 ((~v9(constB55)) | v141(constB55)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25410, 13392, 7589])).
% 51.05/33.53 tff(25412,plain,
% 51.05/33.53 (v141(constB55)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25411, 25407])).
% 51.05/33.53 tff(25413,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB55) | (~v141(constB55)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB55) | (~v141(constB55)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25414,plain,
% 51.05/33.53 (((~v141(constB55)) | v140(constB55)) <=> (v140(constB55) | (~v141(constB55)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25415,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB55)) | v140(constB55))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB55) | (~v141(constB55))))),
% 51.05/33.53 inference(monotonicity,[status(thm)],[25414])).
% 51.05/33.53 tff(25416,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB55)) | v140(constB55))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB55) | (~v141(constB55)))),
% 51.05/33.53 inference(transitivity,[status(thm)],[25415, 25413])).
% 51.05/33.53 tff(25417,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB55)) | v140(constB55))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25418,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB55) | (~v141(constB55))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25417, 25416])).
% 51.05/33.53 tff(25419,plain,
% 51.05/33.53 (v140(constB55)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25418, 13404, 25412])).
% 51.05/33.53 tff(25420,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB55)) | (~v163(constB55)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB55)) | (~v163(constB55)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25421,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB55)) | (~v163(constB55)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25422,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB55)) | (~v163(constB55))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25421, 25420])).
% 51.05/33.53 tff(25423,plain,
% 51.05/33.53 (~v163(constB55)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25422, 13421, 25419])).
% 51.05/33.53 tff(25424,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB55) | v164(constB55) | (~v160(constB55)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB55) | v164(constB55) | (~v160(constB55)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25425,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB55) | v164(constB55) | (~v160(constB55)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25426,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB55) | v164(constB55) | (~v160(constB55))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25425, 25424])).
% 51.05/33.53 tff(25427,plain,
% 51.05/33.53 (v164(constB55) | (~v160(constB55))),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25426, 13754, 25423])).
% 51.05/33.53 tff(25428,plain,
% 51.05/33.53 (~v160(constB55)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25427, 25385])).
% 51.05/33.53 tff(25429,plain,
% 51.05/33.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB55, constB56)) | v160(constB55) | (~v162(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB55, constB56)) | v160(constB55) | (~v162(constB56)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25430,plain,
% 51.05/33.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB55, constB56)) | v160(constB55) | (~v162(constB56)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25431,plain,
% 51.05/33.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB55, constB56)) | v160(constB55) | (~v162(constB56))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25430, 25429])).
% 51.05/33.53 tff(25432,plain,
% 51.05/33.53 (v160(constB55) | (~v162(constB56))),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25431, 13769, 7705])).
% 51.05/33.53 tff(25433,plain,
% 51.05/33.53 (~v162(constB56)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25432, 25428])).
% 51.05/33.53 tff(25434,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB56) | (~v163(constB56)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB56) | (~v163(constB56)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25435,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB56) | (~v163(constB56)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25436,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB56) | (~v163(constB56))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25435, 25434])).
% 51.05/33.53 tff(25437,plain,
% 51.05/33.53 (~v163(constB56)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25436, 13784, 25433])).
% 51.05/33.53 tff(25438,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB56)) | (~v141(constB56)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB56)) | (~v141(constB56)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25439,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB56)) | (~v141(constB56)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25440,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB56)) | (~v141(constB56))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25439, 25438])).
% 51.05/33.53 tff(25441,plain,
% 51.05/33.53 (~v141(constB56)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25440, 13553, 7725])).
% 51.05/33.53 tff(25442,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB56) | (~v155(constB56)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB56) | (~v155(constB56)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25443,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB56) | (~v155(constB56)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25444,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB56) | (~v155(constB56))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25443, 25442])).
% 51.05/33.53 tff(25445,plain,
% 51.05/33.53 (~v155(constB56)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25444, 13702, 25441])).
% 51.05/33.53 tff(25446,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB56) | (~v164(constB56)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB56) | (~v164(constB56)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25447,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB56) | (~v164(constB56)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25448,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB56) | (~v164(constB56))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25447, 25446])).
% 51.05/33.53 tff(25449,plain,
% 51.05/33.53 (~v164(constB56)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25448, 13806, 25445])).
% 51.05/33.53 tff(25450,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB56) | v164(constB56) | (~v160(constB56)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB56) | v164(constB56) | (~v160(constB56)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25451,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB56) | v164(constB56) | (~v160(constB56)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25452,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB56) | v164(constB56) | (~v160(constB56))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25451, 25450])).
% 51.05/33.53 tff(25453,plain,
% 51.05/33.53 (v163(constB56) | (~v160(constB56))),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25452, 13754, 25449])).
% 51.05/33.53 tff(25454,plain,
% 51.05/33.53 (~v160(constB56)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25453, 25437])).
% 51.05/33.53 tff(25455,plain,
% 51.05/33.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB56, constB57)) | v160(constB56) | (~v162(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB56, constB57)) | v160(constB56) | (~v162(constB57)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25456,plain,
% 51.05/33.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB56, constB57)) | v160(constB56) | (~v162(constB57)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25457,plain,
% 51.05/33.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB56, constB57)) | v160(constB56) | (~v162(constB57))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25456, 25455])).
% 51.05/33.53 tff(25458,plain,
% 51.05/33.53 (v160(constB56) | (~v162(constB57))),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25457, 13769, 7794])).
% 51.05/33.53 tff(25459,plain,
% 51.05/33.53 (~v162(constB57)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25458, 25454])).
% 51.05/33.53 tff(25460,plain,
% 51.05/33.53 ($false),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25459, 25220])).
% 51.05/33.53 tff(25461,plain,(~(constB57 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.05/33.53 tff(25462,assumption,(constB145 = sK0_VarCurr), introduced(assumption)).
% 51.05/33.53 tff(25463,plain,
% 51.05/33.53 (v162(constB145) <=> v162(sK0_VarCurr)),
% 51.05/33.53 inference(monotonicity,[status(thm)],[25462])).
% 51.05/33.53 tff(25464,plain,
% 51.05/33.53 (v162(sK0_VarCurr) <=> v162(constB145)),
% 51.05/33.53 inference(symmetry,[status(thm)],[25463])).
% 51.05/33.53 tff(25465,plain,
% 51.05/33.53 (v162(constB145)),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[13315, 25464])).
% 51.05/33.53 tff(25466,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB139)) | (~v84(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB139)) | (~v84(constB139, bitIndex1)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25467,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB139)) | (~v84(constB139, bitIndex1)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25468,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB139)) | (~v84(constB139, bitIndex1))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25467, 25466])).
% 51.05/33.53 tff(25469,plain,
% 51.05/33.53 (~v145(constB139)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25468, 1091, 17470])).
% 51.05/33.53 tff(25470,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB139) | (~v144(constB139)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB139) | (~v144(constB139)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25471,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB139) | (~v144(constB139)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25472,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB139) | (~v144(constB139))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25471, 25470])).
% 51.05/33.53 tff(25473,plain,
% 51.05/33.53 (~v144(constB139)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25472, 13439, 25469])).
% 51.05/33.53 tff(25474,plain,
% 51.05/33.53 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB139) | (~v142(constB139)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB139) | (~v142(constB139)))),
% 51.05/33.53 inference(rewrite,[status(thm)],[])).
% 51.05/33.53 tff(25475,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB139) | (~v142(constB139)))),
% 51.05/33.53 inference(quant_inst,[status(thm)],[])).
% 51.05/33.53 tff(25476,plain,
% 51.05/33.53 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB139) | (~v142(constB139))),
% 51.05/33.53 inference(modus_ponens,[status(thm)],[25475, 25474])).
% 51.05/33.53 tff(25477,plain,
% 51.05/33.53 (~v142(constB139)),
% 51.05/33.53 inference(unit_resolution,[status(thm)],[25476, 13453, 25473])).
% 51.05/33.54 tff(25478,assumption,(v18(constB140)), introduced(assumption)).
% 51.05/33.54 tff(25479,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB140))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25480,plain,
% 51.05/33.54 ($false),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25479, 13324, 25478])).
% 51.05/33.54 tff(25481,plain,(~v18(constB140)), inference(lemma,lemma(discharge,[]))).
% 51.05/33.54 tff(25482,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25483,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25484,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25483, 25482])).
% 51.05/33.54 tff(25485,plain,
% 51.05/33.54 (v22(constB140)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25484, 13337, 17579])).
% 51.05/33.54 tff(25486,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB140) | (~v22(constB140)) | (~v19(constB140)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB140) | (~v22(constB140)) | (~v19(constB140)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25487,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB140) | (~v22(constB140)) | (~v19(constB140)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25488,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB140) | (~v22(constB140)) | (~v19(constB140))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25487, 25486])).
% 51.05/33.54 tff(25489,plain,
% 51.05/33.54 (v18(constB140) | (~v19(constB140))),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25488, 13351, 25485])).
% 51.05/33.54 tff(25490,plain,
% 51.05/33.54 (~v19(constB140)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25489, 25481])).
% 51.05/33.54 tff(25491,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25492,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25493,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140)),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 51.05/33.54 tff(25494,plain,
% 51.05/33.54 (v13(constB140)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25493, 13363, 25490])).
% 51.05/33.54 tff(25495,plain,
% 51.05/33.54 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25496,plain,
% 51.05/33.54 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25497,plain,
% 51.05/33.54 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25496, 25495])).
% 51.05/33.54 tff(25498,plain,
% 51.05/33.54 (v9(constB139) | (~v13(constB140))),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25497, 13377, 17559])).
% 51.05/33.54 tff(25499,plain,
% 51.05/33.54 (v9(constB139)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25498, 25494])).
% 51.05/33.54 tff(25500,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v141(constB139))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB139) | (~v9(constB139)) | v141(constB139))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25501,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v141(constB139))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25502,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB139) | (~v9(constB139)) | v141(constB139)),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25501, 25500])).
% 51.05/33.54 tff(25503,plain,
% 51.05/33.54 ((~v9(constB139)) | v141(constB139)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25502, 13392, 17415])).
% 51.05/33.54 tff(25504,plain,
% 51.05/33.54 (v141(constB139)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25503, 25499])).
% 51.05/33.54 tff(25505,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB139) | (~v141(constB139)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB139) | (~v141(constB139)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25506,plain,
% 51.05/33.54 (((~v141(constB139)) | v140(constB139)) <=> (v140(constB139) | (~v141(constB139)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25507,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB139)) | v140(constB139))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB139) | (~v141(constB139))))),
% 51.05/33.54 inference(monotonicity,[status(thm)],[25506])).
% 51.05/33.54 tff(25508,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB139)) | v140(constB139))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB139) | (~v141(constB139)))),
% 51.05/33.54 inference(transitivity,[status(thm)],[25507, 25505])).
% 51.05/33.54 tff(25509,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB139)) | v140(constB139))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25510,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB139) | (~v141(constB139))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25509, 25508])).
% 51.05/33.54 tff(25511,plain,
% 51.05/33.54 (v140(constB139)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25510, 13404, 25504])).
% 51.05/33.54 tff(25512,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB139)) | (~v140(constB139)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB139)) | (~v140(constB139)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25513,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB139)) | (~v140(constB139)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25514,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB139)) | (~v140(constB139))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25513, 25512])).
% 51.05/33.54 tff(25515,plain,
% 51.05/33.54 (~v138(constB139)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25514, 13495, 25511])).
% 51.05/33.54 tff(25516,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB139) | v142(constB139) | (~v135(constB139)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB139) | v142(constB139) | (~v135(constB139)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25517,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB139) | v142(constB139) | (~v135(constB139)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25518,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB139) | v142(constB139) | (~v135(constB139))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25517, 25516])).
% 51.05/33.54 tff(25519,plain,
% 51.05/33.54 (v142(constB139) | (~v135(constB139))),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25518, 13509, 25515])).
% 51.05/33.54 tff(25520,plain,
% 51.05/33.54 (~v135(constB139)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25519, 25477])).
% 51.05/33.54 tff(25521,plain,
% 51.05/33.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25522,plain,
% 51.05/33.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25523,plain,
% 51.05/33.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25522, 25521])).
% 51.05/33.54 tff(25524,plain,
% 51.05/33.54 (v135(constB139) | (~v137(constB140))),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25523, 13524, 17559])).
% 51.05/33.54 tff(25525,plain,
% 51.05/33.54 (~v137(constB140)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25524, 25520])).
% 51.05/33.54 tff(25526,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB140) | (~v138(constB140)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB140) | (~v138(constB140)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25527,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB140) | (~v138(constB140)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25528,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB140) | (~v138(constB140))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25527, 25526])).
% 51.05/33.54 tff(25529,plain,
% 51.05/33.54 (~v138(constB140)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25528, 13539, 25525])).
% 51.05/33.54 tff(25530,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB140)) | (~v141(constB140)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB140)) | (~v141(constB140)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25531,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB140)) | (~v141(constB140)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25532,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB140)) | (~v141(constB140))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25531, 25530])).
% 51.05/33.54 tff(25533,plain,
% 51.05/33.54 (~v141(constB140)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25532, 13553, 17579])).
% 51.05/33.54 tff(25534,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB140) | (~v144(constB140)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB140) | (~v144(constB140)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25535,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB140) | (~v144(constB140)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25536,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB140) | (~v144(constB140))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25535, 25534])).
% 51.05/33.54 tff(25537,plain,
% 51.05/33.54 (~v144(constB140)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25536, 13567, 25533])).
% 51.05/33.54 tff(25538,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB140) | (~v142(constB140)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB140) | (~v142(constB140)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25539,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB140) | (~v142(constB140)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25540,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB140) | (~v142(constB140))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25539, 25538])).
% 51.05/33.54 tff(25541,plain,
% 51.05/33.54 (~v142(constB140)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25540, 13453, 25537])).
% 51.05/33.54 tff(25542,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB140) | v142(constB140) | (~v135(constB140)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB140) | v142(constB140) | (~v135(constB140)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25543,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB140) | v142(constB140) | (~v135(constB140)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25544,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB140) | v142(constB140) | (~v135(constB140))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25543, 25542])).
% 51.05/33.54 tff(25545,plain,
% 51.05/33.54 (v138(constB140) | (~v135(constB140))),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25544, 13509, 25541])).
% 51.05/33.54 tff(25546,plain,
% 51.05/33.54 (~v135(constB140)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25545, 25529])).
% 51.05/33.54 tff(25547,plain,
% 51.05/33.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25548,plain,
% 51.05/33.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25549,plain,
% 51.05/33.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25548, 25547])).
% 51.05/33.54 tff(25550,plain,
% 51.05/33.54 (v135(constB140) | (~v137(constB141))),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25549, 13524, 17621])).
% 51.05/33.54 tff(25551,plain,
% 51.05/33.54 (~v137(constB141)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25550, 25546])).
% 51.05/33.54 tff(25552,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB141) | (~v154(constB141)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB141) | (~v154(constB141)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25553,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB141) | (~v154(constB141)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25554,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB141) | (~v154(constB141))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25553, 25552])).
% 51.05/33.54 tff(25555,plain,
% 51.05/33.54 (~v154(constB141)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25554, 13595, 25551])).
% 51.05/33.54 tff(25556,assumption,(v18(constB142)), introduced(assumption)).
% 51.05/33.54 tff(25557,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB142))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25558,plain,
% 51.05/33.54 ($false),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25557, 13324, 25556])).
% 51.05/33.54 tff(25559,plain,(~v18(constB142)), inference(lemma,lemma(discharge,[]))).
% 51.05/33.54 tff(25560,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25561,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25562,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25561, 25560])).
% 51.05/33.54 tff(25563,plain,
% 51.05/33.54 (v22(constB142)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25562, 13337, 17949])).
% 51.05/33.54 tff(25564,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB142) | (~v22(constB142)) | (~v19(constB142)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB142) | (~v22(constB142)) | (~v19(constB142)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25565,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB142) | (~v22(constB142)) | (~v19(constB142)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25566,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB142) | (~v22(constB142)) | (~v19(constB142))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25565, 25564])).
% 51.05/33.54 tff(25567,plain,
% 51.05/33.54 (v18(constB142) | (~v19(constB142))),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25566, 13351, 25563])).
% 51.05/33.54 tff(25568,plain,
% 51.05/33.54 (~v19(constB142)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25567, 25559])).
% 51.05/33.54 tff(25569,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25570,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25571,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142)),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25570, 25569])).
% 51.05/33.54 tff(25572,plain,
% 51.05/33.54 (v13(constB142)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25571, 13363, 25568])).
% 51.05/33.54 tff(25573,plain,
% 51.05/33.54 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142)))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25574,plain,
% 51.05/33.54 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142)))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25575,plain,
% 51.05/33.54 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142))),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25574, 25573])).
% 51.05/33.54 tff(25576,plain,
% 51.05/33.54 (v9(constB141) | (~v13(constB142))),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25575, 13377, 17923])).
% 51.05/33.54 tff(25577,plain,
% 51.05/33.54 (v9(constB141)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25576, 25572])).
% 51.05/33.54 tff(25578,plain,
% 51.05/33.54 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v141(constB141))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB141) | (~v9(constB141)) | v141(constB141))),
% 51.05/33.54 inference(rewrite,[status(thm)],[])).
% 51.05/33.54 tff(25579,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v141(constB141))),
% 51.05/33.54 inference(quant_inst,[status(thm)],[])).
% 51.05/33.54 tff(25580,plain,
% 51.05/33.54 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB141) | (~v9(constB141)) | v141(constB141)),
% 51.05/33.54 inference(modus_ponens,[status(thm)],[25579, 25578])).
% 51.05/33.54 tff(25581,plain,
% 51.05/33.54 ((~v9(constB141)) | v141(constB141)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25580, 13392, 17618])).
% 51.05/33.54 tff(25582,plain,
% 51.05/33.54 (v141(constB141)),
% 51.05/33.54 inference(unit_resolution,[status(thm)],[25581, 25577])).
% 51.05/33.54 tff(25583,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB141)) | v140(constB141))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB141)) | v140(constB141))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25584,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB141)) | v140(constB141))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25585,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB141)) | v140(constB141)),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25584, 25583])).
% 51.05/33.55 tff(25586,plain,
% 51.05/33.55 (v140(constB141)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25585, 13404, 25582])).
% 51.05/33.55 tff(25587,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB141)) | (~v153(constB141)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB141)) | (~v153(constB141)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25588,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB141)) | (~v153(constB141)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25589,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB141)) | (~v153(constB141))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25588, 25587])).
% 51.05/33.55 tff(25590,plain,
% 51.05/33.55 (~v153(constB141)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25589, 13640, 25586])).
% 51.05/33.55 tff(25591,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB141) | v154(constB141) | (~v150(constB141)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB141) | v154(constB141) | (~v150(constB141)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25592,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB141) | v154(constB141) | (~v150(constB141)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25593,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB141) | v154(constB141) | (~v150(constB141))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25592, 25591])).
% 51.05/33.55 tff(25594,plain,
% 51.05/33.55 (v154(constB141) | (~v150(constB141))),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25593, 13654, 25590])).
% 51.05/33.55 tff(25595,plain,
% 51.05/33.55 (~v150(constB141)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25594, 25555])).
% 51.05/33.55 tff(25596,plain,
% 51.05/33.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25597,plain,
% 51.05/33.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25598,plain,
% 51.05/33.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25597, 25596])).
% 51.05/33.55 tff(25599,plain,
% 51.05/33.55 (v150(constB141) | (~v152(constB142))),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25598, 13669, 17923])).
% 51.05/33.55 tff(25600,plain,
% 51.05/33.55 (~v152(constB142)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25599, 25595])).
% 51.05/33.55 tff(25601,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB142) | (~v153(constB142)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB142) | (~v153(constB142)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25602,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB142) | (~v153(constB142)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25603,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB142) | (~v153(constB142))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25602, 25601])).
% 51.05/33.55 tff(25604,plain,
% 51.05/33.55 (~v153(constB142)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25603, 13684, 25600])).
% 51.05/33.55 tff(25605,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB142)) | (~v141(constB142)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB142)) | (~v141(constB142)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25606,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB142)) | (~v141(constB142)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25607,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB142)) | (~v141(constB142))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25606, 25605])).
% 51.05/33.55 tff(25608,plain,
% 51.05/33.55 (~v141(constB142)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25607, 13553, 17949])).
% 51.05/33.55 tff(25609,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB142) | (~v155(constB142)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB142) | (~v155(constB142)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25610,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB142) | (~v155(constB142)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25611,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB142) | (~v155(constB142))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25610, 25609])).
% 51.05/33.55 tff(25612,plain,
% 51.05/33.55 (~v155(constB142)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25611, 13702, 25608])).
% 51.05/33.55 tff(25613,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB142) | (~v154(constB142)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB142) | (~v154(constB142)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25614,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB142) | (~v154(constB142)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25615,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB142) | (~v154(constB142))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25614, 25613])).
% 51.05/33.55 tff(25616,plain,
% 51.05/33.55 (~v154(constB142)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25615, 13716, 25612])).
% 51.05/33.55 tff(25617,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB142) | v154(constB142) | (~v150(constB142)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB142) | v154(constB142) | (~v150(constB142)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25618,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB142) | v154(constB142) | (~v150(constB142)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25619,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB142) | v154(constB142) | (~v150(constB142))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25618, 25617])).
% 51.05/33.55 tff(25620,plain,
% 51.05/33.55 (v153(constB142) | (~v150(constB142))),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25619, 13654, 25616])).
% 51.05/33.55 tff(25621,plain,
% 51.05/33.55 (~v150(constB142)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25620, 25604])).
% 51.05/33.55 tff(25622,plain,
% 51.05/33.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25623,plain,
% 51.05/33.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25624,plain,
% 51.05/33.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25623, 25622])).
% 51.05/33.55 tff(25625,plain,
% 51.05/33.55 (v150(constB142) | (~v152(constB143))),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25624, 13669, 17995])).
% 51.05/33.55 tff(25626,plain,
% 51.05/33.55 (~v152(constB143)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25625, 25621])).
% 51.05/33.55 tff(25627,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB143) | (~v164(constB143)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB143) | (~v164(constB143)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25628,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB143) | (~v164(constB143)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25629,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB143) | (~v164(constB143))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25628, 25627])).
% 51.05/33.55 tff(25630,plain,
% 51.05/33.55 (~v164(constB143)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25629, 13740, 25626])).
% 51.05/33.55 tff(25631,assumption,(v18(constB144)), introduced(assumption)).
% 51.05/33.55 tff(25632,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB144))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25633,plain,
% 51.05/33.55 ($false),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25632, 13324, 25631])).
% 51.05/33.55 tff(25634,plain,(~v18(constB144)), inference(lemma,lemma(discharge,[]))).
% 51.05/33.55 tff(25635,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25636,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25637,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25636, 25635])).
% 51.05/33.55 tff(25638,plain,
% 51.05/33.55 (v22(constB144)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25637, 13337, 18334])).
% 51.05/33.55 tff(25639,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB144) | (~v22(constB144)) | (~v19(constB144)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB144) | (~v22(constB144)) | (~v19(constB144)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25640,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB144) | (~v22(constB144)) | (~v19(constB144)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25641,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB144) | (~v22(constB144)) | (~v19(constB144))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25640, 25639])).
% 51.05/33.55 tff(25642,plain,
% 51.05/33.55 (v18(constB144) | (~v19(constB144))),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25641, 13351, 25638])).
% 51.05/33.55 tff(25643,plain,
% 51.05/33.55 (~v19(constB144)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25642, 25634])).
% 51.05/33.55 tff(25644,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25645,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25646,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144)),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25645, 25644])).
% 51.05/33.55 tff(25647,plain,
% 51.05/33.55 (v13(constB144)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25646, 13363, 25643])).
% 51.05/33.55 tff(25648,plain,
% 51.05/33.55 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25649,plain,
% 51.05/33.55 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25650,plain,
% 51.05/33.55 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25649, 25648])).
% 51.05/33.55 tff(25651,plain,
% 51.05/33.55 (v9(constB143) | (~v13(constB144))),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25650, 13377, 18314])).
% 51.05/33.55 tff(25652,plain,
% 51.05/33.55 (v9(constB143)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25651, 25647])).
% 51.05/33.55 tff(25653,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v141(constB143))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB143) | (~v9(constB143)) | v141(constB143))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25654,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v141(constB143))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25655,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB143) | (~v9(constB143)) | v141(constB143)),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25654, 25653])).
% 51.05/33.55 tff(25656,plain,
% 51.05/33.55 ((~v9(constB143)) | v141(constB143)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25655, 13392, 17992])).
% 51.05/33.55 tff(25657,plain,
% 51.05/33.55 (v141(constB143)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25656, 25652])).
% 51.05/33.55 tff(25658,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB143)) | v140(constB143))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB143)) | v140(constB143))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25659,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB143)) | v140(constB143))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25660,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB143)) | v140(constB143)),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25659, 25658])).
% 51.05/33.55 tff(25661,plain,
% 51.05/33.55 (v140(constB143)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25660, 13404, 25657])).
% 51.05/33.55 tff(25662,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB143)) | (~v163(constB143)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB143)) | (~v163(constB143)))),
% 51.05/33.55 inference(rewrite,[status(thm)],[])).
% 51.05/33.55 tff(25663,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB143)) | (~v163(constB143)))),
% 51.05/33.55 inference(quant_inst,[status(thm)],[])).
% 51.05/33.55 tff(25664,plain,
% 51.05/33.55 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB143)) | (~v163(constB143))),
% 51.05/33.55 inference(modus_ponens,[status(thm)],[25663, 25662])).
% 51.05/33.55 tff(25665,plain,
% 51.05/33.55 (~v163(constB143)),
% 51.05/33.55 inference(unit_resolution,[status(thm)],[25664, 13421, 25661])).
% 51.05/33.55 tff(25666,plain,
% 51.05/33.55 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB143) | v164(constB143) | (~v160(constB143)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB143) | v164(constB143) | (~v160(constB143)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25667,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB143) | v164(constB143) | (~v160(constB143)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25668,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB143) | v164(constB143) | (~v160(constB143))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25667, 25666])).
% 51.05/33.56 tff(25669,plain,
% 51.05/33.56 (v164(constB143) | (~v160(constB143))),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25668, 13754, 25665])).
% 51.05/33.56 tff(25670,plain,
% 51.05/33.56 (~v160(constB143)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25669, 25630])).
% 51.05/33.56 tff(25671,plain,
% 51.05/33.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25672,plain,
% 51.05/33.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25673,plain,
% 51.05/33.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25672, 25671])).
% 51.05/33.56 tff(25674,plain,
% 51.05/33.56 (v160(constB143) | (~v162(constB144))),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25673, 13769, 18314])).
% 51.05/33.56 tff(25675,plain,
% 51.05/33.56 (~v162(constB144)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25674, 25670])).
% 51.05/33.56 tff(25676,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB144) | (~v163(constB144)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB144) | (~v163(constB144)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25677,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB144) | (~v163(constB144)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25678,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB144) | (~v163(constB144))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25677, 25676])).
% 51.05/33.56 tff(25679,plain,
% 51.05/33.56 (~v163(constB144)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25678, 13784, 25675])).
% 51.05/33.56 tff(25680,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB144)) | (~v141(constB144)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB144)) | (~v141(constB144)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25681,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB144)) | (~v141(constB144)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25682,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB144)) | (~v141(constB144))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25681, 25680])).
% 51.05/33.56 tff(25683,plain,
% 51.05/33.56 (~v141(constB144)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25682, 13553, 18334])).
% 51.05/33.56 tff(25684,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB144) | (~v155(constB144)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB144) | (~v155(constB144)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25685,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB144) | (~v155(constB144)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25686,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB144) | (~v155(constB144))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25685, 25684])).
% 51.05/33.56 tff(25687,plain,
% 51.05/33.56 (~v155(constB144)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25686, 13702, 25683])).
% 51.05/33.56 tff(25688,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB144) | (~v164(constB144)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB144) | (~v164(constB144)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25689,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB144) | (~v164(constB144)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25690,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB144) | (~v164(constB144))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25689, 25688])).
% 51.05/33.56 tff(25691,plain,
% 51.05/33.56 (~v164(constB144)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25690, 13806, 25687])).
% 51.05/33.56 tff(25692,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB144) | v164(constB144) | (~v160(constB144)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB144) | v164(constB144) | (~v160(constB144)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25693,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB144) | v164(constB144) | (~v160(constB144)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25694,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB144) | v164(constB144) | (~v160(constB144))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25693, 25692])).
% 51.05/33.56 tff(25695,plain,
% 51.05/33.56 (v163(constB144) | (~v160(constB144))),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25694, 13754, 25691])).
% 51.05/33.56 tff(25696,plain,
% 51.05/33.56 (~v160(constB144)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25695, 25679])).
% 51.05/33.56 tff(25697,plain,
% 51.05/33.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25698,plain,
% 51.05/33.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25699,plain,
% 51.05/33.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25698, 25697])).
% 51.05/33.56 tff(25700,plain,
% 51.05/33.56 (v160(constB144) | (~v162(constB145))),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25699, 13769, 18376])).
% 51.05/33.56 tff(25701,plain,
% 51.05/33.56 (~v162(constB145)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25700, 25696])).
% 51.05/33.56 tff(25702,plain,
% 51.05/33.56 ($false),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25701, 25465])).
% 51.05/33.56 tff(25703,plain,(~(constB145 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.05/33.56 tff(25704,assumption,(constB140 = sK0_VarCurr), introduced(assumption)).
% 51.05/33.56 tff(25705,plain,
% 51.05/33.56 (v1(constB140) <=> v1(sK0_VarCurr)),
% 51.05/33.56 inference(monotonicity,[status(thm)],[25704])).
% 51.05/33.56 tff(25706,plain,
% 51.05/33.56 (v1(sK0_VarCurr) <=> v1(constB140)),
% 51.05/33.56 inference(symmetry,[status(thm)],[25705])).
% 51.05/33.56 tff(25707,plain,
% 51.05/33.56 ((~v1(sK0_VarCurr)) <=> (~v1(constB140))),
% 51.05/33.56 inference(monotonicity,[status(thm)],[25706])).
% 51.05/33.56 tff(25708,plain,
% 51.05/33.56 (^[VarCurr: state_type] : refl((v141(VarCurr) | (~v170(VarCurr))) <=> (v141(VarCurr) | (~v170(VarCurr))))),
% 51.05/33.56 inference(bind,[status(th)],[])).
% 51.05/33.56 tff(25709,plain,
% 51.05/33.56 (![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 51.05/33.56 inference(quant_intro,[status(thm)],[25708])).
% 51.05/33.56 tff(25710,plain,
% 51.05/33.56 (![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25711,plain,
% 51.05/33.56 (^[VarCurr: state_type] : rewrite(((~v170(VarCurr)) | v141(VarCurr)) <=> (v141(VarCurr) | (~v170(VarCurr))))),
% 51.05/33.56 inference(bind,[status(th)],[])).
% 51.05/33.56 tff(25712,plain,
% 51.05/33.56 (![VarCurr: state_type] : ((~v170(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 51.05/33.56 inference(quant_intro,[status(thm)],[25711])).
% 51.05/33.56 tff(25713,axiom,(![VarCurr: state_type] : ((~v170(VarCurr)) | v141(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41_1_1_1_2')).
% 51.05/33.56 tff(25714,plain,
% 51.05/33.56 (![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25713, 25712])).
% 51.05/33.56 tff(25715,plain,
% 51.05/33.56 (![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25714, 25710])).
% 51.05/33.56 tff(25716,plain,(
% 51.05/33.56 ![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 51.05/33.56 inference(skolemize,[status(sab)],[25715])).
% 51.05/33.56 tff(25717,plain,
% 51.05/33.56 (![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25716, 25709])).
% 51.05/33.56 tff(25718,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))) | (v141(sK0_VarCurr) | (~v170(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))) | v141(sK0_VarCurr) | (~v170(sK0_VarCurr)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25719,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))) | (v141(sK0_VarCurr) | (~v170(sK0_VarCurr)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25720,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))) | v141(sK0_VarCurr) | (~v170(sK0_VarCurr))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25719, 25718])).
% 51.05/33.56 tff(25721,plain,
% 51.05/33.56 (v141(sK0_VarCurr)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25720, 25717, 35])).
% 51.05/33.56 tff(25722,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25723,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25724,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25723, 25722])).
% 51.05/33.56 tff(25725,plain,
% 51.05/33.56 (~v1(sK0_VarCurr)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25724, 13553, 25721])).
% 51.05/33.56 tff(25726,plain,
% 51.05/33.56 (~v1(constB140)),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25725, 25707])).
% 51.05/33.56 tff(25727,plain,
% 51.05/33.56 ($false),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[17579, 25726])).
% 51.05/33.56 tff(25728,plain,(~(constB140 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.05/33.56 tff(25729,assumption,(constB175 = sK0_VarCurr), introduced(assumption)).
% 51.05/33.56 tff(25730,plain,
% 51.05/33.56 (v162(constB175) <=> v162(sK0_VarCurr)),
% 51.05/33.56 inference(monotonicity,[status(thm)],[25729])).
% 51.05/33.56 tff(25731,plain,
% 51.05/33.56 (v162(sK0_VarCurr) <=> v162(constB175)),
% 51.05/33.56 inference(symmetry,[status(thm)],[25730])).
% 51.05/33.56 tff(25732,plain,
% 51.05/33.56 (v162(constB175)),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[13315, 25731])).
% 51.05/33.56 tff(25733,assumption,(v18(constB170)), introduced(assumption)).
% 51.05/33.56 tff(25734,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB170))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25735,plain,
% 51.05/33.56 ($false),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25734, 13324, 25733])).
% 51.05/33.56 tff(25736,plain,(~v18(constB170)), inference(lemma,lemma(discharge,[]))).
% 51.05/33.56 tff(25737,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25738,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25739,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25738, 25737])).
% 51.05/33.56 tff(25740,plain,
% 51.05/33.56 (v22(constB170)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25739, 13337, 21485])).
% 51.05/33.56 tff(25741,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB170) | (~v22(constB170)) | (~v19(constB170)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB170) | (~v22(constB170)) | (~v19(constB170)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25742,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB170) | (~v22(constB170)) | (~v19(constB170)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25743,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB170) | (~v22(constB170)) | (~v19(constB170))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25742, 25741])).
% 51.05/33.56 tff(25744,plain,
% 51.05/33.56 (v18(constB170) | (~v19(constB170))),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25743, 13351, 25740])).
% 51.05/33.56 tff(25745,plain,
% 51.05/33.56 (~v19(constB170)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25744, 25736])).
% 51.05/33.56 tff(25746,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25747,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25748,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170)),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25747, 25746])).
% 51.05/33.56 tff(25749,plain,
% 51.05/33.56 (v13(constB170)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25748, 13363, 25745])).
% 51.05/33.56 tff(25750,plain,
% 51.05/33.56 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB169) | (~v13(constB170)) | (~nextState(constB169, constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB169) | (~v13(constB170)) | (~nextState(constB169, constB170)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25751,plain,
% 51.05/33.56 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB169) | (~v13(constB170)) | (~nextState(constB169, constB170)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25752,plain,
% 51.05/33.56 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB169) | (~v13(constB170)) | (~nextState(constB169, constB170))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25751, 25750])).
% 51.05/33.56 tff(25753,plain,
% 51.05/33.56 (v9(constB169) | (~v13(constB170))),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25752, 13377, 21465])).
% 51.05/33.56 tff(25754,plain,
% 51.05/33.56 (v9(constB169)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25753, 25749])).
% 51.05/33.56 tff(25755,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v141(constB169))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB169) | (~v9(constB169)) | v141(constB169))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25756,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v141(constB169))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25757,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB169) | (~v9(constB169)) | v141(constB169)),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25756, 25755])).
% 51.05/33.56 tff(25758,plain,
% 51.05/33.56 ((~v9(constB169)) | v141(constB169)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25757, 13392, 21317])).
% 51.05/33.56 tff(25759,plain,
% 51.05/33.56 (v141(constB169)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25758, 25754])).
% 51.05/33.56 tff(25760,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB169) | (~v141(constB169)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB169) | (~v141(constB169)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25761,plain,
% 51.05/33.56 (((~v141(constB169)) | v140(constB169)) <=> (v140(constB169) | (~v141(constB169)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25762,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB169)) | v140(constB169))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB169) | (~v141(constB169))))),
% 51.05/33.56 inference(monotonicity,[status(thm)],[25761])).
% 51.05/33.56 tff(25763,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB169)) | v140(constB169))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB169) | (~v141(constB169)))),
% 51.05/33.56 inference(transitivity,[status(thm)],[25762, 25760])).
% 51.05/33.56 tff(25764,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB169)) | v140(constB169))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25765,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB169) | (~v141(constB169))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25764, 25763])).
% 51.05/33.56 tff(25766,plain,
% 51.05/33.56 (v140(constB169)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25765, 13404, 25759])).
% 51.05/33.56 tff(25767,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB169)) | (~v140(constB169)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB169)) | (~v140(constB169)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25768,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB169)) | (~v140(constB169)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25769,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB169)) | (~v140(constB169))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25768, 25767])).
% 51.05/33.56 tff(25770,plain,
% 51.05/33.56 (~v138(constB169)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25769, 13495, 25766])).
% 51.05/33.56 tff(25771,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB169)) | (~v84(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB169)) | (~v84(constB169, bitIndex1)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25772,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB169)) | (~v84(constB169, bitIndex1)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25773,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB169)) | (~v84(constB169, bitIndex1))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25772, 25771])).
% 51.05/33.56 tff(25774,plain,
% 51.05/33.56 (~v145(constB169)),
% 51.05/33.56 inference(unit_resolution,[status(thm)],[25773, 1091, 21372])).
% 51.05/33.56 tff(25775,plain,
% 51.05/33.56 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB169) | (~v144(constB169)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB169) | (~v144(constB169)))),
% 51.05/33.56 inference(rewrite,[status(thm)],[])).
% 51.05/33.56 tff(25776,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB169) | (~v144(constB169)))),
% 51.05/33.56 inference(quant_inst,[status(thm)],[])).
% 51.05/33.56 tff(25777,plain,
% 51.05/33.56 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB169) | (~v144(constB169))),
% 51.05/33.56 inference(modus_ponens,[status(thm)],[25776, 25775])).
% 51.05/33.57 tff(25778,plain,
% 51.05/33.57 (~v144(constB169)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25777, 13439, 25774])).
% 51.05/33.57 tff(25779,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB169) | (~v142(constB169)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25780,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB169) | (~v142(constB169)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25781,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB169) | (~v142(constB169))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25780, 25779])).
% 51.05/33.57 tff(25782,plain,
% 51.05/33.57 (~v142(constB169)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25781, 13453, 25778])).
% 51.05/33.57 tff(25783,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB169) | v142(constB169) | (~v135(constB169)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB169) | v142(constB169) | (~v135(constB169)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25784,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB169) | v142(constB169) | (~v135(constB169)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25785,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB169) | v142(constB169) | (~v135(constB169))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25784, 25783])).
% 51.05/33.57 tff(25786,plain,
% 51.05/33.57 (v138(constB169) | (~v135(constB169))),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25785, 13509, 25782])).
% 51.05/33.57 tff(25787,plain,
% 51.05/33.57 (~v135(constB169)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25786, 25770])).
% 51.05/33.57 tff(25788,plain,
% 51.05/33.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25789,plain,
% 51.05/33.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25790,plain,
% 51.05/33.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25789, 25788])).
% 51.05/33.57 tff(25791,plain,
% 51.05/33.57 (v135(constB169) | (~v137(constB170))),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25790, 13524, 21465])).
% 51.05/33.57 tff(25792,plain,
% 51.05/33.57 (~v137(constB170)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25791, 25787])).
% 51.05/33.57 tff(25793,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB170) | (~v138(constB170)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB170) | (~v138(constB170)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25794,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB170) | (~v138(constB170)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25795,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB170) | (~v138(constB170))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25794, 25793])).
% 51.05/33.57 tff(25796,plain,
% 51.05/33.57 (~v138(constB170)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25795, 13539, 25792])).
% 51.05/33.57 tff(25797,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB170)) | (~v141(constB170)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB170)) | (~v141(constB170)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25798,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB170)) | (~v141(constB170)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25799,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB170)) | (~v141(constB170))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25798, 25797])).
% 51.05/33.57 tff(25800,plain,
% 51.05/33.57 (~v141(constB170)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25799, 13553, 21485])).
% 51.05/33.57 tff(25801,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB170) | (~v144(constB170)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB170) | (~v144(constB170)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25802,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB170) | (~v144(constB170)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25803,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB170) | (~v144(constB170))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25802, 25801])).
% 51.05/33.57 tff(25804,plain,
% 51.05/33.57 (~v144(constB170)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25803, 13567, 25800])).
% 51.05/33.57 tff(25805,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB170) | (~v142(constB170)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB170) | (~v142(constB170)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25806,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB170) | (~v142(constB170)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25807,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB170) | (~v142(constB170))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25806, 25805])).
% 51.05/33.57 tff(25808,plain,
% 51.05/33.57 (~v142(constB170)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25807, 13453, 25804])).
% 51.05/33.57 tff(25809,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB170) | v142(constB170) | (~v135(constB170)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB170) | v142(constB170) | (~v135(constB170)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25810,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB170) | v142(constB170) | (~v135(constB170)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25811,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB170) | v142(constB170) | (~v135(constB170))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25810, 25809])).
% 51.05/33.57 tff(25812,plain,
% 51.05/33.57 (v138(constB170) | (~v135(constB170))),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25811, 13509, 25808])).
% 51.05/33.57 tff(25813,plain,
% 51.05/33.57 (~v135(constB170)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25812, 25796])).
% 51.05/33.57 tff(25814,plain,
% 51.05/33.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25815,plain,
% 51.05/33.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25816,plain,
% 51.05/33.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25815, 25814])).
% 51.05/33.57 tff(25817,plain,
% 51.05/33.57 (v135(constB170) | (~v137(constB171))),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25816, 13524, 21531])).
% 51.05/33.57 tff(25818,plain,
% 51.05/33.57 (~v137(constB171)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25817, 25813])).
% 51.05/33.57 tff(25819,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB171) | (~v154(constB171)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB171) | (~v154(constB171)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25820,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB171) | (~v154(constB171)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25821,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB171) | (~v154(constB171))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25820, 25819])).
% 51.05/33.57 tff(25822,plain,
% 51.05/33.57 (~v154(constB171)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25821, 13595, 25818])).
% 51.05/33.57 tff(25823,assumption,(v18(constB172)), introduced(assumption)).
% 51.05/33.57 tff(25824,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB172))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25825,plain,
% 51.05/33.57 ($false),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25824, 13324, 25823])).
% 51.05/33.57 tff(25826,plain,(~v18(constB172)), inference(lemma,lemma(discharge,[]))).
% 51.05/33.57 tff(25827,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25828,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25829,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25828, 25827])).
% 51.05/33.57 tff(25830,plain,
% 51.05/33.57 (v22(constB172)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25829, 13337, 21682])).
% 51.05/33.57 tff(25831,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB172) | (~v22(constB172)) | (~v19(constB172)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB172) | (~v22(constB172)) | (~v19(constB172)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25832,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB172) | (~v22(constB172)) | (~v19(constB172)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25833,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB172) | (~v22(constB172)) | (~v19(constB172))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25832, 25831])).
% 51.05/33.57 tff(25834,plain,
% 51.05/33.57 (v18(constB172) | (~v19(constB172))),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25833, 13351, 25830])).
% 51.05/33.57 tff(25835,plain,
% 51.05/33.57 (~v19(constB172)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25834, 25826])).
% 51.05/33.57 tff(25836,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25837,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25838,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172)),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25837, 25836])).
% 51.05/33.57 tff(25839,plain,
% 51.05/33.57 (v13(constB172)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25838, 13363, 25835])).
% 51.05/33.57 tff(25840,plain,
% 51.05/33.57 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25841,plain,
% 51.05/33.57 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25842,plain,
% 51.05/33.57 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25841, 25840])).
% 51.05/33.57 tff(25843,plain,
% 51.05/33.57 (v9(constB171) | (~v13(constB172))),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25842, 13377, 21662])).
% 51.05/33.57 tff(25844,plain,
% 51.05/33.57 (v9(constB171)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25843, 25839])).
% 51.05/33.57 tff(25845,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v141(constB171))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB171) | (~v9(constB171)) | v141(constB171))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25846,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v141(constB171))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25847,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB171) | (~v9(constB171)) | v141(constB171)),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25846, 25845])).
% 51.05/33.57 tff(25848,plain,
% 51.05/33.57 ((~v9(constB171)) | v141(constB171)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25847, 13392, 21528])).
% 51.05/33.57 tff(25849,plain,
% 51.05/33.57 (v141(constB171)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25848, 25844])).
% 51.05/33.57 tff(25850,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB171) | (~v141(constB171)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB171) | (~v141(constB171)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25851,plain,
% 51.05/33.57 (((~v141(constB171)) | v140(constB171)) <=> (v140(constB171) | (~v141(constB171)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25852,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB171)) | v140(constB171))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB171) | (~v141(constB171))))),
% 51.05/33.57 inference(monotonicity,[status(thm)],[25851])).
% 51.05/33.57 tff(25853,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB171)) | v140(constB171))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB171) | (~v141(constB171)))),
% 51.05/33.57 inference(transitivity,[status(thm)],[25852, 25850])).
% 51.05/33.57 tff(25854,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB171)) | v140(constB171))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25855,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB171) | (~v141(constB171))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25854, 25853])).
% 51.05/33.57 tff(25856,plain,
% 51.05/33.57 (v140(constB171)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25855, 13404, 25849])).
% 51.05/33.57 tff(25857,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB171)) | (~v153(constB171)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB171)) | (~v153(constB171)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25858,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB171)) | (~v153(constB171)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25859,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB171)) | (~v153(constB171))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25858, 25857])).
% 51.05/33.57 tff(25860,plain,
% 51.05/33.57 (~v153(constB171)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25859, 13640, 25856])).
% 51.05/33.57 tff(25861,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB171) | v154(constB171) | (~v150(constB171)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB171) | v154(constB171) | (~v150(constB171)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25862,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB171) | v154(constB171) | (~v150(constB171)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25863,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB171) | v154(constB171) | (~v150(constB171))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 51.05/33.57 tff(25864,plain,
% 51.05/33.57 (v154(constB171) | (~v150(constB171))),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25863, 13654, 25860])).
% 51.05/33.57 tff(25865,plain,
% 51.05/33.57 (~v150(constB171)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25864, 25822])).
% 51.05/33.57 tff(25866,plain,
% 51.05/33.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25867,plain,
% 51.05/33.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25868,plain,
% 51.05/33.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25867, 25866])).
% 51.05/33.57 tff(25869,plain,
% 51.05/33.57 (v150(constB171) | (~v152(constB172))),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25868, 13669, 21662])).
% 51.05/33.57 tff(25870,plain,
% 51.05/33.57 (~v152(constB172)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25869, 25865])).
% 51.05/33.57 tff(25871,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB172) | (~v153(constB172)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB172) | (~v153(constB172)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25872,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB172) | (~v153(constB172)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25873,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB172) | (~v153(constB172))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25872, 25871])).
% 51.05/33.57 tff(25874,plain,
% 51.05/33.57 (~v153(constB172)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25873, 13684, 25870])).
% 51.05/33.57 tff(25875,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB172)) | (~v141(constB172)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB172)) | (~v141(constB172)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25876,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB172)) | (~v141(constB172)))),
% 51.05/33.57 inference(quant_inst,[status(thm)],[])).
% 51.05/33.57 tff(25877,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB172)) | (~v141(constB172))),
% 51.05/33.57 inference(modus_ponens,[status(thm)],[25876, 25875])).
% 51.05/33.57 tff(25878,plain,
% 51.05/33.57 (~v141(constB172)),
% 51.05/33.57 inference(unit_resolution,[status(thm)],[25877, 13553, 21682])).
% 51.05/33.57 tff(25879,plain,
% 51.05/33.57 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB172) | (~v155(constB172)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB172) | (~v155(constB172)))),
% 51.05/33.57 inference(rewrite,[status(thm)],[])).
% 51.05/33.57 tff(25880,plain,
% 51.05/33.57 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB172) | (~v155(constB172)))),
% 51.05/33.58 inference(quant_inst,[status(thm)],[])).
% 51.05/33.58 tff(25881,plain,
% 51.05/33.58 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB172) | (~v155(constB172))),
% 51.05/33.58 inference(modus_ponens,[status(thm)],[25880, 25879])).
% 51.05/33.58 tff(25882,plain,
% 51.05/33.58 (~v155(constB172)),
% 51.05/33.58 inference(unit_resolution,[status(thm)],[25881, 13702, 25878])).
% 51.05/33.58 tff(25883,plain,
% 51.05/33.58 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB172) | (~v154(constB172)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB172) | (~v154(constB172)))),
% 51.05/33.58 inference(rewrite,[status(thm)],[])).
% 51.05/33.58 tff(25884,plain,
% 51.05/33.58 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB172) | (~v154(constB172)))),
% 51.05/33.58 inference(quant_inst,[status(thm)],[])).
% 51.05/33.58 tff(25885,plain,
% 51.05/33.58 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB172) | (~v154(constB172))),
% 51.05/33.58 inference(modus_ponens,[status(thm)],[25884, 25883])).
% 51.05/33.58 tff(25886,plain,
% 51.05/33.58 (~v154(constB172)),
% 51.05/33.58 inference(unit_resolution,[status(thm)],[25885, 13716, 25882])).
% 51.05/33.58 tff(25887,plain,
% 51.05/33.58 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB172) | v154(constB172) | (~v150(constB172)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB172) | v154(constB172) | (~v150(constB172)))),
% 51.05/33.58 inference(rewrite,[status(thm)],[])).
% 51.05/33.58 tff(25888,plain,
% 51.05/33.58 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB172) | v154(constB172) | (~v150(constB172)))),
% 51.05/33.58 inference(quant_inst,[status(thm)],[])).
% 51.05/33.58 tff(25889,plain,
% 51.05/33.58 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB172) | v154(constB172) | (~v150(constB172))),
% 51.05/33.58 inference(modus_ponens,[status(thm)],[25888, 25887])).
% 51.05/33.58 tff(25890,plain,
% 51.05/33.58 (v153(constB172) | (~v150(constB172))),
% 51.05/33.58 inference(unit_resolution,[status(thm)],[25889, 13654, 25886])).
% 51.05/33.58 tff(25891,plain,
% 51.05/33.58 (~v150(constB172)),
% 51.05/33.58 inference(unit_resolution,[status(thm)],[25890, 25874])).
% 51.05/33.58 tff(25892,plain,
% 51.05/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173)))),
% 51.05/33.58 inference(rewrite,[status(thm)],[])).
% 51.05/33.58 tff(25893,plain,
% 51.05/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173)))),
% 51.05/33.58 inference(quant_inst,[status(thm)],[])).
% 51.05/33.58 tff(25894,plain,
% 51.05/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173))),
% 51.05/33.58 inference(modus_ponens,[status(thm)],[25893, 25892])).
% 51.05/33.58 tff(25895,plain,
% 51.05/33.58 (v150(constB172) | (~v152(constB173))),
% 51.05/33.58 inference(unit_resolution,[status(thm)],[25894, 13669, 21724])).
% 51.05/33.58 tff(25896,plain,
% 51.05/33.58 (~v152(constB173)),
% 51.05/33.58 inference(unit_resolution,[status(thm)],[25895, 25891])).
% 51.05/33.58 tff(25897,plain,
% 51.05/33.58 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB173) | (~v164(constB173)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB173) | (~v164(constB173)))),
% 51.05/33.58 inference(rewrite,[status(thm)],[])).
% 51.05/33.58 tff(25898,plain,
% 51.05/33.58 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB173) | (~v164(constB173)))),
% 51.05/33.58 inference(quant_inst,[status(thm)],[])).
% 51.05/33.58 tff(25899,plain,
% 51.05/33.58 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB173) | (~v164(constB173))),
% 51.05/33.58 inference(modus_ponens,[status(thm)],[25898, 25897])).
% 51.05/33.58 tff(25900,plain,
% 51.05/33.58 (~v164(constB173)),
% 51.05/33.58 inference(unit_resolution,[status(thm)],[25899, 13740, 25896])).
% 51.10/33.58 tff(25901,assumption,(v18(constB174)), introduced(assumption)).
% 51.10/33.58 tff(25902,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB174))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25903,plain,
% 51.10/33.58 ($false),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25902, 13324, 25901])).
% 51.10/33.58 tff(25904,plain,(~v18(constB174)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.58 tff(25905,plain,
% 51.10/33.58 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174)))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25906,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25907,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174))),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25906, 25905])).
% 51.10/33.58 tff(25908,plain,
% 51.10/33.58 (v22(constB174)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25907, 13337, 21877])).
% 51.10/33.58 tff(25909,plain,
% 51.10/33.58 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB174) | (~v22(constB174)) | (~v19(constB174)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB174) | (~v22(constB174)) | (~v19(constB174)))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25910,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB174) | (~v22(constB174)) | (~v19(constB174)))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25911,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB174) | (~v22(constB174)) | (~v19(constB174))),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25910, 25909])).
% 51.10/33.58 tff(25912,plain,
% 51.10/33.58 (v18(constB174) | (~v19(constB174))),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25911, 13351, 25908])).
% 51.10/33.58 tff(25913,plain,
% 51.10/33.58 (~v19(constB174)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25912, 25904])).
% 51.10/33.58 tff(25914,plain,
% 51.10/33.58 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25915,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25916,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174)),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25915, 25914])).
% 51.10/33.58 tff(25917,plain,
% 51.10/33.58 (v13(constB174)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25916, 13363, 25913])).
% 51.10/33.58 tff(25918,plain,
% 51.10/33.58 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174)))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25919,plain,
% 51.10/33.58 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174)))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25920,plain,
% 51.10/33.58 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174))),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25919, 25918])).
% 51.10/33.58 tff(25921,plain,
% 51.10/33.58 (v9(constB173) | (~v13(constB174))),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25920, 13377, 21857])).
% 51.10/33.58 tff(25922,plain,
% 51.10/33.58 (v9(constB173)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25921, 25917])).
% 51.10/33.58 tff(25923,plain,
% 51.10/33.58 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v141(constB173))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB173) | (~v9(constB173)) | v141(constB173))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25924,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v141(constB173))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25925,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB173) | (~v9(constB173)) | v141(constB173)),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25924, 25923])).
% 51.10/33.58 tff(25926,plain,
% 51.10/33.58 ((~v9(constB173)) | v141(constB173)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25925, 13392, 21721])).
% 51.10/33.58 tff(25927,plain,
% 51.10/33.58 (v141(constB173)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25926, 25922])).
% 51.10/33.58 tff(25928,plain,
% 51.10/33.58 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB173)) | v140(constB173))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB173)) | v140(constB173))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25929,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB173)) | v140(constB173))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25930,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB173)) | v140(constB173)),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25929, 25928])).
% 51.10/33.58 tff(25931,plain,
% 51.10/33.58 (v140(constB173)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25930, 13404, 25927])).
% 51.10/33.58 tff(25932,plain,
% 51.10/33.58 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB173)) | (~v163(constB173)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB173)) | (~v163(constB173)))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25933,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB173)) | (~v163(constB173)))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25934,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB173)) | (~v163(constB173))),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25933, 25932])).
% 51.10/33.58 tff(25935,plain,
% 51.10/33.58 (~v163(constB173)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25934, 13421, 25931])).
% 51.10/33.58 tff(25936,plain,
% 51.10/33.58 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB173) | v164(constB173) | (~v160(constB173)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB173) | v164(constB173) | (~v160(constB173)))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25937,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB173) | v164(constB173) | (~v160(constB173)))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25938,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB173) | v164(constB173) | (~v160(constB173))),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25937, 25936])).
% 51.10/33.58 tff(25939,plain,
% 51.10/33.58 (v164(constB173) | (~v160(constB173))),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25938, 13754, 25935])).
% 51.10/33.58 tff(25940,plain,
% 51.10/33.58 (~v160(constB173)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25939, 25900])).
% 51.10/33.58 tff(25941,plain,
% 51.10/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174)))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25942,plain,
% 51.10/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174)))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25943,plain,
% 51.10/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174))),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25942, 25941])).
% 51.10/33.58 tff(25944,plain,
% 51.10/33.58 (v160(constB173) | (~v162(constB174))),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25943, 13769, 21857])).
% 51.10/33.58 tff(25945,plain,
% 51.10/33.58 (~v162(constB174)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25944, 25940])).
% 51.10/33.58 tff(25946,plain,
% 51.10/33.58 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB174) | (~v163(constB174)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB174) | (~v163(constB174)))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25947,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB174) | (~v163(constB174)))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25948,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB174) | (~v163(constB174))),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25947, 25946])).
% 51.10/33.58 tff(25949,plain,
% 51.10/33.58 (~v163(constB174)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25948, 13784, 25945])).
% 51.10/33.58 tff(25950,plain,
% 51.10/33.58 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB174)) | (~v141(constB174)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB174)) | (~v141(constB174)))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25951,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB174)) | (~v141(constB174)))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25952,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB174)) | (~v141(constB174))),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25951, 25950])).
% 51.10/33.58 tff(25953,plain,
% 51.10/33.58 (~v141(constB174)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25952, 13553, 21877])).
% 51.10/33.58 tff(25954,plain,
% 51.10/33.58 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB174) | (~v155(constB174)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB174) | (~v155(constB174)))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25955,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB174) | (~v155(constB174)))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25956,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB174) | (~v155(constB174))),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25955, 25954])).
% 51.10/33.58 tff(25957,plain,
% 51.10/33.58 (~v155(constB174)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25956, 13702, 25953])).
% 51.10/33.58 tff(25958,plain,
% 51.10/33.58 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB174) | (~v164(constB174)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB174) | (~v164(constB174)))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25959,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB174) | (~v164(constB174)))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25960,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB174) | (~v164(constB174))),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25959, 25958])).
% 51.10/33.58 tff(25961,plain,
% 51.10/33.58 (~v164(constB174)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25960, 13806, 25957])).
% 51.10/33.58 tff(25962,plain,
% 51.10/33.58 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB174) | v164(constB174) | (~v160(constB174)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB174) | v164(constB174) | (~v160(constB174)))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25963,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB174) | v164(constB174) | (~v160(constB174)))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25964,plain,
% 51.10/33.58 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB174) | v164(constB174) | (~v160(constB174))),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25963, 25962])).
% 51.10/33.58 tff(25965,plain,
% 51.10/33.58 (v163(constB174) | (~v160(constB174))),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25964, 13754, 25961])).
% 51.10/33.58 tff(25966,plain,
% 51.10/33.58 (~v160(constB174)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25965, 25949])).
% 51.10/33.58 tff(25967,plain,
% 51.10/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175)))),
% 51.10/33.58 inference(rewrite,[status(thm)],[])).
% 51.10/33.58 tff(25968,plain,
% 51.10/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175)))),
% 51.10/33.58 inference(quant_inst,[status(thm)],[])).
% 51.10/33.58 tff(25969,plain,
% 51.10/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175))),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25968, 25967])).
% 51.10/33.58 tff(25970,plain,
% 51.10/33.58 (v160(constB174) | (~v162(constB175))),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25969, 13769, 21919])).
% 51.10/33.58 tff(25971,plain,
% 51.10/33.58 (~v162(constB175)),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25970, 25966])).
% 51.10/33.58 tff(25972,plain,
% 51.10/33.58 ($false),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[25971, 25732])).
% 51.10/33.58 tff(25973,plain,(~(constB175 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.58 tff(25974,assumption,(constB118 = sK0_VarCurr), introduced(assumption)).
% 51.10/33.58 tff(25975,plain,
% 51.10/33.58 (v1(constB118) <=> v1(sK0_VarCurr)),
% 51.10/33.58 inference(monotonicity,[status(thm)],[25974])).
% 51.10/33.58 tff(25976,plain,
% 51.10/33.58 (v1(sK0_VarCurr) <=> v1(constB118)),
% 51.10/33.58 inference(symmetry,[status(thm)],[25975])).
% 51.10/33.58 tff(25977,plain,
% 51.10/33.58 ((~v1(sK0_VarCurr)) <=> (~v1(constB118))),
% 51.10/33.58 inference(monotonicity,[status(thm)],[25976])).
% 51.10/33.58 tff(25978,plain,
% 51.10/33.58 (~v1(constB118)),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25725, 25977])).
% 51.10/33.58 tff(25979,plain,
% 51.10/33.58 ($false),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[15290, 25978])).
% 51.10/33.58 tff(25980,plain,(~(constB118 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.58 tff(25981,assumption,(constB20 = sK0_VarCurr), introduced(assumption)).
% 51.10/33.58 tff(25982,plain,
% 51.10/33.58 (v1(constB20) <=> v1(sK0_VarCurr)),
% 51.10/33.58 inference(monotonicity,[status(thm)],[25981])).
% 51.10/33.58 tff(25983,plain,
% 51.10/33.58 (v1(sK0_VarCurr) <=> v1(constB20)),
% 51.10/33.58 inference(symmetry,[status(thm)],[25982])).
% 51.10/33.58 tff(25984,plain,
% 51.10/33.58 ((~v1(sK0_VarCurr)) <=> (~v1(constB20))),
% 51.10/33.58 inference(monotonicity,[status(thm)],[25983])).
% 51.10/33.58 tff(25985,plain,
% 51.10/33.58 (~v1(constB20)),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25725, 25984])).
% 51.10/33.58 tff(25986,plain,
% 51.10/33.58 ($false),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[2831, 25985])).
% 51.10/33.58 tff(25987,plain,(~(constB20 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.58 tff(25988,assumption,(constB138 = sK0_VarCurr), introduced(assumption)).
% 51.10/33.58 tff(25989,plain,
% 51.10/33.58 (v1(constB138) <=> v1(sK0_VarCurr)),
% 51.10/33.58 inference(monotonicity,[status(thm)],[25988])).
% 51.10/33.58 tff(25990,plain,
% 51.10/33.58 (v1(sK0_VarCurr) <=> v1(constB138)),
% 51.10/33.58 inference(symmetry,[status(thm)],[25989])).
% 51.10/33.58 tff(25991,plain,
% 51.10/33.58 ((~v1(sK0_VarCurr)) <=> (~v1(constB138))),
% 51.10/33.58 inference(monotonicity,[status(thm)],[25990])).
% 51.10/33.58 tff(25992,plain,
% 51.10/33.58 (~v1(constB138)),
% 51.10/33.58 inference(modus_ponens,[status(thm)],[25725, 25991])).
% 51.10/33.58 tff(25993,plain,
% 51.10/33.58 ($false),
% 51.10/33.58 inference(unit_resolution,[status(thm)],[17368, 25992])).
% 51.10/33.58 tff(25994,plain,(~(constB138 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.58 tff(25995,assumption,(constB26 = sK0_VarCurr), introduced(assumption)).
% 51.10/33.58 tff(25996,plain,
% 51.10/33.58 (v1(constB26) <=> v1(sK0_VarCurr)),
% 51.10/33.58 inference(monotonicity,[status(thm)],[25995])).
% 51.10/33.59 tff(25997,plain,
% 51.10/33.59 (v1(sK0_VarCurr) <=> v1(constB26)),
% 51.10/33.59 inference(symmetry,[status(thm)],[25996])).
% 51.10/33.59 tff(25998,plain,
% 51.10/33.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB26))),
% 51.10/33.59 inference(monotonicity,[status(thm)],[25997])).
% 51.10/33.59 tff(25999,plain,
% 51.10/33.59 (~v1(constB26)),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[25725, 25998])).
% 51.10/33.59 tff(26000,plain,
% 51.10/33.59 ($false),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[4705, 25999])).
% 51.10/33.59 tff(26001,plain,(~(constB26 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.59 tff(26002,assumption,(constB89 = sK0_VarCurr), introduced(assumption)).
% 51.10/33.59 tff(26003,plain,
% 51.10/33.59 (v162(constB89) <=> v162(sK0_VarCurr)),
% 51.10/33.59 inference(monotonicity,[status(thm)],[26002])).
% 51.10/33.59 tff(26004,plain,
% 51.10/33.59 (v162(sK0_VarCurr) <=> v162(constB89)),
% 51.10/33.59 inference(symmetry,[status(thm)],[26003])).
% 51.10/33.59 tff(26005,plain,
% 51.10/33.59 (v162(constB89)),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[13315, 26004])).
% 51.10/33.59 tff(26006,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB83)) | (~v84(constB83, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB83)) | (~v84(constB83, bitIndex2)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26007,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB83)) | (~v84(constB83, bitIndex2)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26008,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB83)) | (~v84(constB83, bitIndex2))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26007, 26006])).
% 51.10/33.59 tff(26009,plain,
% 51.10/33.59 (~v145(constB83)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26008, 4483, 10873])).
% 51.10/33.59 tff(26010,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB83) | (~v144(constB83)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB83) | (~v144(constB83)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26011,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB83) | (~v144(constB83)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26012,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB83) | (~v144(constB83))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26011, 26010])).
% 51.10/33.59 tff(26013,plain,
% 51.10/33.59 (~v144(constB83)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26012, 13439, 26009])).
% 51.10/33.59 tff(26014,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB83) | (~v142(constB83)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB83) | (~v142(constB83)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26015,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB83) | (~v142(constB83)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26016,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB83) | (~v142(constB83))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26015, 26014])).
% 51.10/33.59 tff(26017,plain,
% 51.10/33.59 (~v142(constB83)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26016, 13453, 26013])).
% 51.10/33.59 tff(26018,assumption,(v18(constB84)), introduced(assumption)).
% 51.10/33.59 tff(26019,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB84))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26020,plain,
% 51.10/33.59 ($false),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26019, 13324, 26018])).
% 51.10/33.59 tff(26021,plain,(~v18(constB84)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.59 tff(26022,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26023,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26024,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26023, 26022])).
% 51.10/33.59 tff(26025,plain,
% 51.10/33.59 (v22(constB84)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26024, 13337, 10999])).
% 51.10/33.59 tff(26026,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB84) | (~v22(constB84)) | (~v19(constB84)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB84) | (~v22(constB84)) | (~v19(constB84)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26027,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB84) | (~v22(constB84)) | (~v19(constB84)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26028,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB84) | (~v22(constB84)) | (~v19(constB84))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26027, 26026])).
% 51.10/33.59 tff(26029,plain,
% 51.10/33.59 (v18(constB84) | (~v19(constB84))),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26028, 13351, 26025])).
% 51.10/33.59 tff(26030,plain,
% 51.10/33.59 (~v19(constB84)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26029, 26021])).
% 51.10/33.59 tff(26031,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26032,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26033,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84)),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26032, 26031])).
% 51.10/33.59 tff(26034,plain,
% 51.10/33.59 (v13(constB84)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26033, 13363, 26030])).
% 51.10/33.59 tff(26035,plain,
% 51.10/33.59 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26036,plain,
% 51.10/33.59 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26037,plain,
% 51.10/33.59 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26036, 26035])).
% 51.10/33.59 tff(26038,plain,
% 51.10/33.59 (v9(constB83) | (~v13(constB84))),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26037, 13377, 10979])).
% 51.10/33.59 tff(26039,plain,
% 51.10/33.59 (v9(constB83)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26038, 26034])).
% 51.10/33.59 tff(26040,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v141(constB83))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB83) | (~v9(constB83)) | v141(constB83))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26041,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v141(constB83))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26042,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB83) | (~v9(constB83)) | v141(constB83)),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26041, 26040])).
% 51.10/33.59 tff(26043,plain,
% 51.10/33.59 ((~v9(constB83)) | v141(constB83)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26042, 13392, 10849])).
% 51.10/33.59 tff(26044,plain,
% 51.10/33.59 (v141(constB83)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26043, 26039])).
% 51.10/33.59 tff(26045,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB83)) | v140(constB83))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB83)) | v140(constB83))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26046,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB83)) | v140(constB83))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26047,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB83)) | v140(constB83)),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26046, 26045])).
% 51.10/33.59 tff(26048,plain,
% 51.10/33.59 (v140(constB83)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26047, 13404, 26044])).
% 51.10/33.59 tff(26049,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB83)) | (~v140(constB83)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB83)) | (~v140(constB83)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26050,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB83)) | (~v140(constB83)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26051,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB83)) | (~v140(constB83))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26050, 26049])).
% 51.10/33.59 tff(26052,plain,
% 51.10/33.59 (~v138(constB83)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26051, 13495, 26048])).
% 51.10/33.59 tff(26053,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB83) | v142(constB83) | (~v135(constB83)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB83) | v142(constB83) | (~v135(constB83)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26054,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB83) | v142(constB83) | (~v135(constB83)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26055,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB83) | v142(constB83) | (~v135(constB83))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26054, 26053])).
% 51.10/33.59 tff(26056,plain,
% 51.10/33.59 (v142(constB83) | (~v135(constB83))),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26055, 13509, 26052])).
% 51.10/33.59 tff(26057,plain,
% 51.10/33.59 (~v135(constB83)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26056, 26017])).
% 51.10/33.59 tff(26058,plain,
% 51.10/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26059,plain,
% 51.10/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26060,plain,
% 51.10/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26059, 26058])).
% 51.10/33.59 tff(26061,plain,
% 51.10/33.59 (v135(constB83) | (~v137(constB84))),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26060, 13524, 10979])).
% 51.10/33.59 tff(26062,plain,
% 51.10/33.59 (~v137(constB84)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26061, 26057])).
% 51.10/33.59 tff(26063,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB84) | (~v138(constB84)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB84) | (~v138(constB84)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26064,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB84) | (~v138(constB84)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26065,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB84) | (~v138(constB84))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26064, 26063])).
% 51.10/33.59 tff(26066,plain,
% 51.10/33.59 (~v138(constB84)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26065, 13539, 26062])).
% 51.10/33.59 tff(26067,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB84)) | (~v141(constB84)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB84)) | (~v141(constB84)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26068,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB84)) | (~v141(constB84)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26069,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB84)) | (~v141(constB84))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26068, 26067])).
% 51.10/33.59 tff(26070,plain,
% 51.10/33.59 (~v141(constB84)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26069, 13553, 10999])).
% 51.10/33.59 tff(26071,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB84) | (~v144(constB84)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB84) | (~v144(constB84)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26072,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB84) | (~v144(constB84)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26073,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB84) | (~v144(constB84))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26072, 26071])).
% 51.10/33.59 tff(26074,plain,
% 51.10/33.59 (~v144(constB84)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26073, 13567, 26070])).
% 51.10/33.59 tff(26075,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB84) | (~v142(constB84)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB84) | (~v142(constB84)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26076,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB84) | (~v142(constB84)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26077,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB84) | (~v142(constB84))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26076, 26075])).
% 51.10/33.59 tff(26078,plain,
% 51.10/33.59 (~v142(constB84)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26077, 13453, 26074])).
% 51.10/33.59 tff(26079,plain,
% 51.10/33.59 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB84) | v142(constB84) | (~v135(constB84)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB84) | v142(constB84) | (~v135(constB84)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26080,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB84) | v142(constB84) | (~v135(constB84)))),
% 51.10/33.59 inference(quant_inst,[status(thm)],[])).
% 51.10/33.59 tff(26081,plain,
% 51.10/33.59 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB84) | v142(constB84) | (~v135(constB84))),
% 51.10/33.59 inference(modus_ponens,[status(thm)],[26080, 26079])).
% 51.10/33.59 tff(26082,plain,
% 51.10/33.59 (v138(constB84) | (~v135(constB84))),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26081, 13509, 26078])).
% 51.10/33.59 tff(26083,plain,
% 51.10/33.59 (~v135(constB84)),
% 51.10/33.59 inference(unit_resolution,[status(thm)],[26082, 26066])).
% 51.10/33.59 tff(26084,plain,
% 51.10/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85)))),
% 51.10/33.59 inference(rewrite,[status(thm)],[])).
% 51.10/33.59 tff(26085,plain,
% 51.10/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26086,plain,
% 51.10/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26085, 26084])).
% 51.10/33.60 tff(26087,plain,
% 51.10/33.60 (v135(constB84) | (~v137(constB85))),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26086, 13524, 11041])).
% 51.10/33.60 tff(26088,plain,
% 51.10/33.60 (~v137(constB85)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26087, 26083])).
% 51.10/33.60 tff(26089,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB85) | (~v154(constB85)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB85) | (~v154(constB85)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26090,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB85) | (~v154(constB85)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26091,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB85) | (~v154(constB85))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26090, 26089])).
% 51.10/33.60 tff(26092,plain,
% 51.10/33.60 (~v154(constB85)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26091, 13595, 26088])).
% 51.10/33.60 tff(26093,assumption,(v18(constB86)), introduced(assumption)).
% 51.10/33.60 tff(26094,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB86))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26095,plain,
% 51.10/33.60 ($false),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26094, 13324, 26093])).
% 51.10/33.60 tff(26096,plain,(~v18(constB86)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.60 tff(26097,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26098,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26099,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26098, 26097])).
% 51.10/33.60 tff(26100,plain,
% 51.10/33.60 (v22(constB86)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26099, 13337, 11174])).
% 51.10/33.60 tff(26101,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB86) | (~v22(constB86)) | (~v19(constB86)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB86) | (~v22(constB86)) | (~v19(constB86)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26102,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB86) | (~v22(constB86)) | (~v19(constB86)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26103,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB86) | (~v22(constB86)) | (~v19(constB86))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26102, 26101])).
% 51.10/33.60 tff(26104,plain,
% 51.10/33.60 (v18(constB86) | (~v19(constB86))),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26103, 13351, 26100])).
% 51.10/33.60 tff(26105,plain,
% 51.10/33.60 (~v19(constB86)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26104, 26096])).
% 51.10/33.60 tff(26106,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26107,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26108,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86)),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26107, 26106])).
% 51.10/33.60 tff(26109,plain,
% 51.10/33.60 (v13(constB86)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26108, 13363, 26105])).
% 51.10/33.60 tff(26110,plain,
% 51.10/33.60 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26111,plain,
% 51.10/33.60 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26112,plain,
% 51.10/33.60 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26111, 26110])).
% 51.10/33.60 tff(26113,plain,
% 51.10/33.60 (v9(constB85) | (~v13(constB86))),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26112, 13377, 11154])).
% 51.10/33.60 tff(26114,plain,
% 51.10/33.60 (v9(constB85)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26113, 26109])).
% 51.10/33.60 tff(26115,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v141(constB85))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB85) | (~v9(constB85)) | v141(constB85))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26116,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v141(constB85))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26117,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB85) | (~v9(constB85)) | v141(constB85)),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26116, 26115])).
% 51.10/33.60 tff(26118,plain,
% 51.10/33.60 ((~v9(constB85)) | v141(constB85)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26117, 13392, 11038])).
% 51.10/33.60 tff(26119,plain,
% 51.10/33.60 (v141(constB85)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26118, 26114])).
% 51.10/33.60 tff(26120,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB85) | (~v141(constB85)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB85) | (~v141(constB85)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26121,plain,
% 51.10/33.60 (((~v141(constB85)) | v140(constB85)) <=> (v140(constB85) | (~v141(constB85)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26122,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB85)) | v140(constB85))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB85) | (~v141(constB85))))),
% 51.10/33.60 inference(monotonicity,[status(thm)],[26121])).
% 51.10/33.60 tff(26123,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB85)) | v140(constB85))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB85) | (~v141(constB85)))),
% 51.10/33.60 inference(transitivity,[status(thm)],[26122, 26120])).
% 51.10/33.60 tff(26124,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB85)) | v140(constB85))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26125,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB85) | (~v141(constB85))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26124, 26123])).
% 51.10/33.60 tff(26126,plain,
% 51.10/33.60 (v140(constB85)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26125, 13404, 26119])).
% 51.10/33.60 tff(26127,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB85)) | (~v153(constB85)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB85)) | (~v153(constB85)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26128,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB85)) | (~v153(constB85)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26129,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB85)) | (~v153(constB85))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26128, 26127])).
% 51.10/33.60 tff(26130,plain,
% 51.10/33.60 (~v153(constB85)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26129, 13640, 26126])).
% 51.10/33.60 tff(26131,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB85) | v154(constB85) | (~v150(constB85)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB85) | v154(constB85) | (~v150(constB85)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26132,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB85) | v154(constB85) | (~v150(constB85)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26133,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB85) | v154(constB85) | (~v150(constB85))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26132, 26131])).
% 51.10/33.60 tff(26134,plain,
% 51.10/33.60 (v154(constB85) | (~v150(constB85))),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26133, 13654, 26130])).
% 51.10/33.60 tff(26135,plain,
% 51.10/33.60 (~v150(constB85)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26134, 26092])).
% 51.10/33.60 tff(26136,plain,
% 51.10/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26137,plain,
% 51.10/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26138,plain,
% 51.10/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26137, 26136])).
% 51.10/33.60 tff(26139,plain,
% 51.10/33.60 (v150(constB85) | (~v152(constB86))),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26138, 13669, 11154])).
% 51.10/33.60 tff(26140,plain,
% 51.10/33.60 (~v152(constB86)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26139, 26135])).
% 51.10/33.60 tff(26141,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB86) | (~v153(constB86)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB86) | (~v153(constB86)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26142,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB86) | (~v153(constB86)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26143,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB86) | (~v153(constB86))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26142, 26141])).
% 51.10/33.60 tff(26144,plain,
% 51.10/33.60 (~v153(constB86)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26143, 13684, 26140])).
% 51.10/33.60 tff(26145,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB86)) | (~v141(constB86)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB86)) | (~v141(constB86)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26146,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB86)) | (~v141(constB86)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26147,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB86)) | (~v141(constB86))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26146, 26145])).
% 51.10/33.60 tff(26148,plain,
% 51.10/33.60 (~v141(constB86)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26147, 13553, 11174])).
% 51.10/33.60 tff(26149,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB86) | (~v155(constB86)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB86) | (~v155(constB86)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26150,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB86) | (~v155(constB86)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26151,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB86) | (~v155(constB86))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26150, 26149])).
% 51.10/33.60 tff(26152,plain,
% 51.10/33.60 (~v155(constB86)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26151, 13702, 26148])).
% 51.10/33.60 tff(26153,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB86) | (~v154(constB86)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB86) | (~v154(constB86)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26154,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB86) | (~v154(constB86)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26155,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB86) | (~v154(constB86))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26154, 26153])).
% 51.10/33.60 tff(26156,plain,
% 51.10/33.60 (~v154(constB86)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26155, 13716, 26152])).
% 51.10/33.60 tff(26157,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB86) | v154(constB86) | (~v150(constB86)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB86) | v154(constB86) | (~v150(constB86)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26158,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB86) | v154(constB86) | (~v150(constB86)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26159,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB86) | v154(constB86) | (~v150(constB86))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26158, 26157])).
% 51.10/33.60 tff(26160,plain,
% 51.10/33.60 (v153(constB86) | (~v150(constB86))),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26159, 13654, 26156])).
% 51.10/33.60 tff(26161,plain,
% 51.10/33.60 (~v150(constB86)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26160, 26144])).
% 51.10/33.60 tff(26162,plain,
% 51.10/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26163,plain,
% 51.10/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26164,plain,
% 51.10/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26163, 26162])).
% 51.10/33.60 tff(26165,plain,
% 51.10/33.60 (v150(constB86) | (~v152(constB87))),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26164, 13669, 11243])).
% 51.10/33.60 tff(26166,plain,
% 51.10/33.60 (~v152(constB87)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26165, 26161])).
% 51.10/33.60 tff(26167,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB87) | (~v164(constB87)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB87) | (~v164(constB87)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26168,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB87) | (~v164(constB87)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26169,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB87) | (~v164(constB87))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26168, 26167])).
% 51.10/33.60 tff(26170,plain,
% 51.10/33.60 (~v164(constB87)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26169, 13740, 26166])).
% 51.10/33.60 tff(26171,assumption,(v18(constB88)), introduced(assumption)).
% 51.10/33.60 tff(26172,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB88))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26173,plain,
% 51.10/33.60 ($false),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26172, 13324, 26171])).
% 51.10/33.60 tff(26174,plain,(~v18(constB88)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.60 tff(26175,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26176,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26177,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26176, 26175])).
% 51.10/33.60 tff(26178,plain,
% 51.10/33.60 (v22(constB88)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26177, 13337, 11434])).
% 51.10/33.60 tff(26179,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB88) | (~v22(constB88)) | (~v19(constB88)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB88) | (~v22(constB88)) | (~v19(constB88)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26180,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB88) | (~v22(constB88)) | (~v19(constB88)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26181,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB88) | (~v22(constB88)) | (~v19(constB88))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26180, 26179])).
% 51.10/33.60 tff(26182,plain,
% 51.10/33.60 (v18(constB88) | (~v19(constB88))),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26181, 13351, 26178])).
% 51.10/33.60 tff(26183,plain,
% 51.10/33.60 (~v19(constB88)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26182, 26174])).
% 51.10/33.60 tff(26184,plain,
% 51.10/33.60 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26185,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26186,plain,
% 51.10/33.60 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88)),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26185, 26184])).
% 51.10/33.60 tff(26187,plain,
% 51.10/33.60 (v13(constB88)),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26186, 13363, 26183])).
% 51.10/33.60 tff(26188,plain,
% 51.10/33.60 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB87) | (~v13(constB88)) | (~nextState(constB87, constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB87) | (~v13(constB88)) | (~nextState(constB87, constB88)))),
% 51.10/33.60 inference(rewrite,[status(thm)],[])).
% 51.10/33.60 tff(26189,plain,
% 51.10/33.60 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB87) | (~v13(constB88)) | (~nextState(constB87, constB88)))),
% 51.10/33.60 inference(quant_inst,[status(thm)],[])).
% 51.10/33.60 tff(26190,plain,
% 51.10/33.60 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB87) | (~v13(constB88)) | (~nextState(constB87, constB88))),
% 51.10/33.60 inference(modus_ponens,[status(thm)],[26189, 26188])).
% 51.10/33.60 tff(26191,plain,
% 51.10/33.60 (v9(constB87) | (~v13(constB88))),
% 51.10/33.60 inference(unit_resolution,[status(thm)],[26190, 13377, 11414])).
% 51.10/33.60 tff(26192,plain,
% 51.10/33.61 (v9(constB87)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26191, 26187])).
% 51.10/33.61 tff(26193,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v141(constB87))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB87) | (~v9(constB87)) | v141(constB87))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26194,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v141(constB87))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26195,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB87) | (~v9(constB87)) | v141(constB87)),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26194, 26193])).
% 51.10/33.61 tff(26196,plain,
% 51.10/33.61 ((~v9(constB87)) | v141(constB87)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26195, 13392, 11240])).
% 51.10/33.61 tff(26197,plain,
% 51.10/33.61 (v141(constB87)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26196, 26192])).
% 51.10/33.61 tff(26198,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB87) | (~v141(constB87)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB87) | (~v141(constB87)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26199,plain,
% 51.10/33.61 (((~v141(constB87)) | v140(constB87)) <=> (v140(constB87) | (~v141(constB87)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26200,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB87)) | v140(constB87))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB87) | (~v141(constB87))))),
% 51.10/33.61 inference(monotonicity,[status(thm)],[26199])).
% 51.10/33.61 tff(26201,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB87)) | v140(constB87))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB87) | (~v141(constB87)))),
% 51.10/33.61 inference(transitivity,[status(thm)],[26200, 26198])).
% 51.10/33.61 tff(26202,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB87)) | v140(constB87))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26203,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB87) | (~v141(constB87))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26202, 26201])).
% 51.10/33.61 tff(26204,plain,
% 51.10/33.61 (v140(constB87)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26203, 13404, 26197])).
% 51.10/33.61 tff(26205,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB87)) | (~v163(constB87)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB87)) | (~v163(constB87)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26206,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB87)) | (~v163(constB87)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26207,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB87)) | (~v163(constB87))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26206, 26205])).
% 51.10/33.61 tff(26208,plain,
% 51.10/33.61 (~v163(constB87)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26207, 13421, 26204])).
% 51.10/33.61 tff(26209,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB87) | v164(constB87) | (~v160(constB87)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB87) | v164(constB87) | (~v160(constB87)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26210,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB87) | v164(constB87) | (~v160(constB87)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26211,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB87) | v164(constB87) | (~v160(constB87))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26210, 26209])).
% 51.10/33.61 tff(26212,plain,
% 51.10/33.61 (v164(constB87) | (~v160(constB87))),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26211, 13754, 26208])).
% 51.10/33.61 tff(26213,plain,
% 51.10/33.61 (~v160(constB87)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26212, 26170])).
% 51.10/33.61 tff(26214,plain,
% 51.10/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26215,plain,
% 51.10/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26216,plain,
% 51.10/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26215, 26214])).
% 51.10/33.61 tff(26217,plain,
% 51.10/33.61 (v160(constB87) | (~v162(constB88))),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26216, 13769, 11414])).
% 51.10/33.61 tff(26218,plain,
% 51.10/33.61 (~v162(constB88)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26217, 26213])).
% 51.10/33.61 tff(26219,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB88) | (~v163(constB88)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB88) | (~v163(constB88)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26220,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB88) | (~v163(constB88)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26221,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB88) | (~v163(constB88))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26220, 26219])).
% 51.10/33.61 tff(26222,plain,
% 51.10/33.61 (~v163(constB88)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26221, 13784, 26218])).
% 51.10/33.61 tff(26223,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB88)) | (~v141(constB88)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB88)) | (~v141(constB88)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26224,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB88)) | (~v141(constB88)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26225,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB88)) | (~v141(constB88))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26224, 26223])).
% 51.10/33.61 tff(26226,plain,
% 51.10/33.61 (~v141(constB88)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26225, 13553, 11434])).
% 51.10/33.61 tff(26227,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB88) | (~v155(constB88)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB88) | (~v155(constB88)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26228,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB88) | (~v155(constB88)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26229,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB88) | (~v155(constB88))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26228, 26227])).
% 51.10/33.61 tff(26230,plain,
% 51.10/33.61 (~v155(constB88)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26229, 13702, 26226])).
% 51.10/33.61 tff(26231,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB88) | (~v164(constB88)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB88) | (~v164(constB88)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26232,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB88) | (~v164(constB88)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26233,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB88) | (~v164(constB88))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26232, 26231])).
% 51.10/33.61 tff(26234,plain,
% 51.10/33.61 (~v164(constB88)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26233, 13806, 26230])).
% 51.10/33.61 tff(26235,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB88) | v164(constB88) | (~v160(constB88)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB88) | v164(constB88) | (~v160(constB88)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26236,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB88) | v164(constB88) | (~v160(constB88)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26237,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB88) | v164(constB88) | (~v160(constB88))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26236, 26235])).
% 51.10/33.61 tff(26238,plain,
% 51.10/33.61 (v163(constB88) | (~v160(constB88))),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26237, 13754, 26234])).
% 51.10/33.61 tff(26239,plain,
% 51.10/33.61 (~v160(constB88)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26238, 26222])).
% 51.10/33.61 tff(26240,plain,
% 51.10/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26241,plain,
% 51.10/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26242,plain,
% 51.10/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26241, 26240])).
% 51.10/33.61 tff(26243,plain,
% 51.10/33.61 (v160(constB88) | (~v162(constB89))),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26242, 13769, 11476])).
% 51.10/33.61 tff(26244,plain,
% 51.10/33.61 (~v162(constB89)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26243, 26239])).
% 51.10/33.61 tff(26245,plain,
% 51.10/33.61 ($false),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26244, 26005])).
% 51.10/33.61 tff(26246,plain,(~(constB89 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.61 tff(26247,assumption,(constB5 = sK0_VarCurr), introduced(assumption)).
% 51.10/33.61 tff(26248,plain,
% 51.10/33.61 (v162(constB5) <=> v162(sK0_VarCurr)),
% 51.10/33.61 inference(monotonicity,[status(thm)],[26247])).
% 51.10/33.61 tff(26249,plain,
% 51.10/33.61 (v162(sK0_VarCurr) <=> v162(constB5)),
% 51.10/33.61 inference(symmetry,[status(thm)],[26248])).
% 51.10/33.61 tff(26250,plain,
% 51.10/33.61 (v162(constB5)),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[13315, 26249])).
% 51.10/33.61 tff(26251,plain,
% 51.10/33.61 (v1(constB0) <=> v1(constB0)),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26252,axiom,(v1(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_201')).
% 51.10/33.61 tff(26253,plain,
% 51.10/33.61 (v1(constB0)),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26252, 26251])).
% 51.10/33.61 tff(26254,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB0)) | (~v141(constB0)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB0)) | (~v141(constB0)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26255,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB0)) | (~v141(constB0)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26256,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB0)) | (~v141(constB0))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26255, 26254])).
% 51.10/33.61 tff(26257,plain,
% 51.10/33.61 (~v141(constB0)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26256, 13553, 26253])).
% 51.10/33.61 tff(26258,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB0) | (~v144(constB0)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB0) | (~v144(constB0)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26259,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB0) | (~v144(constB0)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26260,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB0) | (~v144(constB0))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26259, 26258])).
% 51.10/33.61 tff(26261,plain,
% 51.10/33.61 (~v144(constB0)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26260, 13567, 26257])).
% 51.10/33.61 tff(26262,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB0) | (~v142(constB0)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB0) | (~v142(constB0)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26263,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB0) | (~v142(constB0)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26264,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB0) | (~v142(constB0))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26263, 26262])).
% 51.10/33.61 tff(26265,plain,
% 51.10/33.61 (~v142(constB0)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26264, 13453, 26261])).
% 51.10/33.61 tff(26266,plain,
% 51.10/33.61 ((~v137(constB0)) <=> (~v137(constB0))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26267,axiom,(~v137(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_5_1_1_1')).
% 51.10/33.61 tff(26268,plain,
% 51.10/33.61 (~v137(constB0)),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26267, 26266])).
% 51.10/33.61 tff(26269,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB0) | (~v138(constB0)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB0) | (~v138(constB0)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26270,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB0) | (~v138(constB0)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26271,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB0) | (~v138(constB0))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26270, 26269])).
% 51.10/33.61 tff(26272,plain,
% 51.10/33.61 (~v138(constB0)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26271, 26268, 13539])).
% 51.10/33.61 tff(26273,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB0) | v142(constB0) | (~v135(constB0)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB0) | v142(constB0) | (~v135(constB0)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26274,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB0) | v142(constB0) | (~v135(constB0)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26275,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB0) | v142(constB0) | (~v135(constB0))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26274, 26273])).
% 51.10/33.61 tff(26276,plain,
% 51.10/33.61 (v142(constB0) | (~v135(constB0))),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26275, 13509, 26272])).
% 51.10/33.61 tff(26277,plain,
% 51.10/33.61 (~v135(constB0)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26276, 26265])).
% 51.10/33.61 tff(26278,plain,
% 51.10/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26279,plain,
% 51.10/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26280,plain,
% 51.10/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26279, 26278])).
% 51.10/33.61 tff(26281,plain,
% 51.10/33.61 (v135(constB0) | (~v137(constB1))),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26280, 13524, 100])).
% 51.10/33.61 tff(26282,plain,
% 51.10/33.61 (~v137(constB1)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26281, 26277])).
% 51.10/33.61 tff(26283,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB1) | (~v154(constB1)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB1) | (~v154(constB1)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26284,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB1) | (~v154(constB1)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26285,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB1) | (~v154(constB1))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26284, 26283])).
% 51.10/33.61 tff(26286,plain,
% 51.10/33.61 (~v154(constB1)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26285, 13595, 26282])).
% 51.10/33.61 tff(26287,plain,
% 51.10/33.61 ((~v152(constB0)) <=> (~v152(constB0))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26288,axiom,(~v152(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_6_1_1_1')).
% 51.10/33.61 tff(26289,plain,
% 51.10/33.61 (~v152(constB0)),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26288, 26287])).
% 51.10/33.61 tff(26290,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB0) | (~v153(constB0)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB0) | (~v153(constB0)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26291,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB0) | (~v153(constB0)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26292,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB0) | (~v153(constB0))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26291, 26290])).
% 51.10/33.61 tff(26293,plain,
% 51.10/33.61 (~v153(constB0)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26292, 26289, 13684])).
% 51.10/33.61 tff(26294,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB0) | (~v154(constB0)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB0) | (~v154(constB0)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26295,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB0) | (~v154(constB0)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26296,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB0) | (~v154(constB0))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26295, 26294])).
% 51.10/33.61 tff(26297,plain,
% 51.10/33.61 (~v154(constB0)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26296, 26268, 13595])).
% 51.10/33.61 tff(26298,plain,
% 51.10/33.61 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB0) | v154(constB0) | (~v150(constB0)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB0) | v154(constB0) | (~v150(constB0)))),
% 51.10/33.61 inference(rewrite,[status(thm)],[])).
% 51.10/33.61 tff(26299,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB0) | v154(constB0) | (~v150(constB0)))),
% 51.10/33.61 inference(quant_inst,[status(thm)],[])).
% 51.10/33.61 tff(26300,plain,
% 51.10/33.61 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB0) | v154(constB0) | (~v150(constB0))),
% 51.10/33.61 inference(modus_ponens,[status(thm)],[26299, 26298])).
% 51.10/33.61 tff(26301,plain,
% 51.10/33.61 (~v150(constB0)),
% 51.10/33.61 inference(unit_resolution,[status(thm)],[26300, 13654, 26297, 26293])).
% 51.10/33.61 tff(26302,plain,
% 51.10/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26303,plain,
% 51.10/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26304,plain,
% 51.10/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26303, 26302])).
% 51.10/33.62 tff(26305,plain,
% 51.10/33.62 (v150(constB0) | (~v152(constB1))),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26304, 13669, 100])).
% 51.10/33.62 tff(26306,plain,
% 51.10/33.62 (~v152(constB1)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26305, 26301])).
% 51.10/33.62 tff(26307,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB1) | (~v153(constB1)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB1) | (~v153(constB1)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26308,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB1) | (~v153(constB1)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26309,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB1) | (~v153(constB1))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26308, 26307])).
% 51.10/33.62 tff(26310,plain,
% 51.10/33.62 (~v153(constB1)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26309, 13684, 26306])).
% 51.10/33.62 tff(26311,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB1) | v154(constB1) | (~v150(constB1)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB1) | v154(constB1) | (~v150(constB1)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26312,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB1) | v154(constB1) | (~v150(constB1)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26313,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB1) | v154(constB1) | (~v150(constB1))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26312, 26311])).
% 51.10/33.62 tff(26314,plain,
% 51.10/33.62 (v154(constB1) | (~v150(constB1))),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26313, 13654, 26310])).
% 51.10/33.62 tff(26315,plain,
% 51.10/33.62 (~v150(constB1)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26314, 26286])).
% 51.10/33.62 tff(26316,plain,
% 51.10/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26317,plain,
% 51.10/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26318,plain,
% 51.10/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26317, 26316])).
% 51.10/33.62 tff(26319,plain,
% 51.10/33.62 (v150(constB1) | (~v152(constB2))),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26318, 13669, 244])).
% 51.10/33.62 tff(26320,plain,
% 51.10/33.62 (~v152(constB2)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26319, 26315])).
% 51.10/33.62 tff(26321,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB2) | (~v153(constB2)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB2) | (~v153(constB2)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26322,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB2) | (~v153(constB2)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26323,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB2) | (~v153(constB2))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26322, 26321])).
% 51.10/33.62 tff(26324,plain,
% 51.10/33.62 (~v153(constB2)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26323, 13684, 26320])).
% 51.10/33.62 tff(26325,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB2)) | (~v141(constB2)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB2)) | (~v141(constB2)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26326,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB2)) | (~v141(constB2)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26327,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB2)) | (~v141(constB2))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26326, 26325])).
% 51.10/33.62 tff(26328,plain,
% 51.10/33.62 (~v141(constB2)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26327, 13553, 445])).
% 51.10/33.62 tff(26329,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB2) | (~v155(constB2)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB2) | (~v155(constB2)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26330,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB2) | (~v155(constB2)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26331,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB2) | (~v155(constB2))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26330, 26329])).
% 51.10/33.62 tff(26332,plain,
% 51.10/33.62 (~v155(constB2)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26331, 13702, 26328])).
% 51.10/33.62 tff(26333,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB2) | (~v154(constB2)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB2) | (~v154(constB2)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26334,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB2) | (~v154(constB2)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26335,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB2) | (~v154(constB2))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26334, 26333])).
% 51.10/33.62 tff(26336,plain,
% 51.10/33.62 (~v154(constB2)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26335, 13716, 26332])).
% 51.10/33.62 tff(26337,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB2) | v154(constB2) | (~v150(constB2)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB2) | v154(constB2) | (~v150(constB2)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26338,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB2) | v154(constB2) | (~v150(constB2)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26339,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB2) | v154(constB2) | (~v150(constB2))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26338, 26337])).
% 51.10/33.62 tff(26340,plain,
% 51.10/33.62 (v153(constB2) | (~v150(constB2))),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26339, 13654, 26336])).
% 51.10/33.62 tff(26341,plain,
% 51.10/33.62 (~v150(constB2)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26340, 26324])).
% 51.10/33.62 tff(26342,plain,
% 51.10/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26343,plain,
% 51.10/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26344,plain,
% 51.10/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26343, 26342])).
% 51.10/33.62 tff(26345,plain,
% 51.10/33.62 (v150(constB2) | (~v152(constB3))),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26344, 13669, 545])).
% 51.10/33.62 tff(26346,plain,
% 51.10/33.62 (~v152(constB3)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26345, 26341])).
% 51.10/33.62 tff(26347,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB3) | (~v164(constB3)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB3) | (~v164(constB3)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26348,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB3) | (~v164(constB3)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26349,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB3) | (~v164(constB3))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26348, 26347])).
% 51.10/33.62 tff(26350,plain,
% 51.10/33.62 (~v164(constB3)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26349, 13740, 26346])).
% 51.10/33.62 tff(26351,plain,
% 51.10/33.62 ((~v162(constB0)) <=> (~v162(constB0))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26352,axiom,(~v162(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_7_1_1_1')).
% 51.10/33.62 tff(26353,plain,
% 51.10/33.62 (~v162(constB0)),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26352, 26351])).
% 51.10/33.62 tff(26354,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB0) | (~v163(constB0)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB0) | (~v163(constB0)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26355,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB0) | (~v163(constB0)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26356,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB0) | (~v163(constB0))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26355, 26354])).
% 51.10/33.62 tff(26357,plain,
% 51.10/33.62 (~v163(constB0)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26356, 26353, 13784])).
% 51.10/33.62 tff(26358,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB0) | (~v164(constB0)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB0) | (~v164(constB0)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26359,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB0) | (~v164(constB0)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26360,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB0) | (~v164(constB0))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26359, 26358])).
% 51.10/33.62 tff(26361,plain,
% 51.10/33.62 (~v164(constB0)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26360, 26289, 13740])).
% 51.10/33.62 tff(26362,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB0) | v164(constB0) | (~v160(constB0)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB0) | v164(constB0) | (~v160(constB0)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26363,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB0) | v164(constB0) | (~v160(constB0)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26364,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB0) | v164(constB0) | (~v160(constB0))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26363, 26362])).
% 51.10/33.62 tff(26365,plain,
% 51.10/33.62 (~v160(constB0)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26364, 13754, 26361, 26357])).
% 51.10/33.62 tff(26366,plain,
% 51.10/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26367,plain,
% 51.10/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26368,plain,
% 51.10/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26367, 26366])).
% 51.10/33.62 tff(26369,plain,
% 51.10/33.62 (v160(constB0) | (~v162(constB1))),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26368, 13769, 100])).
% 51.10/33.62 tff(26370,plain,
% 51.10/33.62 (~v162(constB1)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26369, 26365])).
% 51.10/33.62 tff(26371,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB1) | (~v163(constB1)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB1) | (~v163(constB1)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26372,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB1) | (~v163(constB1)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26373,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB1) | (~v163(constB1))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26372, 26371])).
% 51.10/33.62 tff(26374,plain,
% 51.10/33.62 (~v163(constB1)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26373, 13784, 26370])).
% 51.10/33.62 tff(26375,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB1) | (~v164(constB1)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB1) | (~v164(constB1)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26376,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB1) | (~v164(constB1)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26377,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB1) | (~v164(constB1))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26376, 26375])).
% 51.10/33.62 tff(26378,plain,
% 51.10/33.62 (~v164(constB1)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26377, 13740, 26306])).
% 51.10/33.62 tff(26379,plain,
% 51.10/33.62 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB1) | v164(constB1) | (~v160(constB1)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB1) | v164(constB1) | (~v160(constB1)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.62 tff(26380,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB1) | v164(constB1) | (~v160(constB1)))),
% 51.10/33.62 inference(quant_inst,[status(thm)],[])).
% 51.10/33.62 tff(26381,plain,
% 51.10/33.62 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB1) | v164(constB1) | (~v160(constB1))),
% 51.10/33.62 inference(modus_ponens,[status(thm)],[26380, 26379])).
% 51.10/33.62 tff(26382,plain,
% 51.10/33.62 (~v160(constB1)),
% 51.10/33.62 inference(unit_resolution,[status(thm)],[26381, 13754, 26378, 26374])).
% 51.10/33.62 tff(26383,plain,
% 51.10/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2)))),
% 51.10/33.62 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26384,plain,
% 51.10/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26385,plain,
% 51.10/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26384, 26383])).
% 51.10/33.63 tff(26386,plain,
% 51.10/33.63 (v160(constB1) | (~v162(constB2))),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26385, 13769, 244])).
% 51.10/33.63 tff(26387,plain,
% 51.10/33.63 (~v162(constB2)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26386, 26382])).
% 51.10/33.63 tff(26388,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB2) | (~v163(constB2)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB2) | (~v163(constB2)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26389,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB2) | (~v163(constB2)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26390,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB2) | (~v163(constB2))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26389, 26388])).
% 51.10/33.63 tff(26391,plain,
% 51.10/33.63 (~v163(constB2)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26390, 13784, 26387])).
% 51.10/33.63 tff(26392,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB2) | (~v164(constB2)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB2) | (~v164(constB2)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26393,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB2) | (~v164(constB2)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26394,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB2) | (~v164(constB2))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26393, 26392])).
% 51.10/33.63 tff(26395,plain,
% 51.10/33.63 (~v164(constB2)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26394, 13806, 26332])).
% 51.10/33.63 tff(26396,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB2) | v164(constB2) | (~v160(constB2)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB2) | v164(constB2) | (~v160(constB2)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26397,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB2) | v164(constB2) | (~v160(constB2)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26398,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB2) | v164(constB2) | (~v160(constB2))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26397, 26396])).
% 51.10/33.63 tff(26399,plain,
% 51.10/33.63 (v163(constB2) | (~v160(constB2))),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26398, 13754, 26395])).
% 51.10/33.63 tff(26400,plain,
% 51.10/33.63 (~v160(constB2)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26399, 26391])).
% 51.10/33.63 tff(26401,plain,
% 51.10/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26402,plain,
% 51.10/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26403,plain,
% 51.10/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26402, 26401])).
% 51.10/33.63 tff(26404,plain,
% 51.10/33.63 (v160(constB2) | (~v162(constB3))),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26403, 13769, 545])).
% 51.10/33.63 tff(26405,plain,
% 51.10/33.63 (~v162(constB3)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26404, 26400])).
% 51.10/33.63 tff(26406,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB3) | (~v163(constB3)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB3) | (~v163(constB3)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26407,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB3) | (~v163(constB3)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26408,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB3) | (~v163(constB3))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26407, 26406])).
% 51.10/33.63 tff(26409,plain,
% 51.10/33.63 (~v163(constB3)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26408, 13784, 26405])).
% 51.10/33.63 tff(26410,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB3) | v164(constB3) | (~v160(constB3)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB3) | v164(constB3) | (~v160(constB3)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26411,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB3) | v164(constB3) | (~v160(constB3)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26412,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB3) | v164(constB3) | (~v160(constB3))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26411, 26410])).
% 51.10/33.63 tff(26413,plain,
% 51.10/33.63 (~v160(constB3)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26412, 13754, 26409, 26350])).
% 51.10/33.63 tff(26414,plain,
% 51.10/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26415,plain,
% 51.10/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26416,plain,
% 51.10/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26415, 26414])).
% 51.10/33.63 tff(26417,plain,
% 51.10/33.63 (v160(constB3) | (~v162(constB4))),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26416, 13769, 703])).
% 51.10/33.63 tff(26418,plain,
% 51.10/33.63 (~v162(constB4)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26417, 26413])).
% 51.10/33.63 tff(26419,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB4) | (~v163(constB4)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB4) | (~v163(constB4)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26420,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB4) | (~v163(constB4)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26421,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB4) | (~v163(constB4))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26420, 26419])).
% 51.10/33.63 tff(26422,plain,
% 51.10/33.63 (~v163(constB4)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26421, 13784, 26418])).
% 51.10/33.63 tff(26423,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB4)) | (~v141(constB4)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB4)) | (~v141(constB4)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26424,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB4)) | (~v141(constB4)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26425,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB4)) | (~v141(constB4))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26424, 26423])).
% 51.10/33.63 tff(26426,plain,
% 51.10/33.63 (~v141(constB4)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26425, 13553, 787])).
% 51.10/33.63 tff(26427,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB4) | (~v155(constB4)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB4) | (~v155(constB4)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26428,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB4) | (~v155(constB4)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26429,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB4) | (~v155(constB4))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26428, 26427])).
% 51.10/33.63 tff(26430,plain,
% 51.10/33.63 (~v155(constB4)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26429, 13702, 26426])).
% 51.10/33.63 tff(26431,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB4) | (~v164(constB4)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB4) | (~v164(constB4)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26432,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB4) | (~v164(constB4)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26433,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB4) | (~v164(constB4))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26432, 26431])).
% 51.10/33.63 tff(26434,plain,
% 51.10/33.63 (~v164(constB4)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26433, 13806, 26430])).
% 51.10/33.63 tff(26435,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB4) | v164(constB4) | (~v160(constB4)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB4) | v164(constB4) | (~v160(constB4)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26436,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB4) | v164(constB4) | (~v160(constB4)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26437,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB4) | v164(constB4) | (~v160(constB4))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26436, 26435])).
% 51.10/33.63 tff(26438,plain,
% 51.10/33.63 (v163(constB4) | (~v160(constB4))),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26437, 13754, 26434])).
% 51.10/33.63 tff(26439,plain,
% 51.10/33.63 (~v160(constB4)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26438, 26422])).
% 51.10/33.63 tff(26440,plain,
% 51.10/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26441,plain,
% 51.10/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26442,plain,
% 51.10/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26441, 26440])).
% 51.10/33.63 tff(26443,plain,
% 51.10/33.63 (v160(constB4) | (~v162(constB5))),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26442, 13769, 815])).
% 51.10/33.63 tff(26444,plain,
% 51.10/33.63 (~v162(constB5)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26443, 26439])).
% 51.10/33.63 tff(26445,plain,
% 51.10/33.63 ($false),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26444, 26250])).
% 51.10/33.63 tff(26446,plain,(~(constB5 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.63 tff(26447,assumption,(constB107 = sK0_VarCurr), introduced(assumption)).
% 51.10/33.63 tff(26448,plain,
% 51.10/33.63 (v162(constB107) <=> v162(sK0_VarCurr)),
% 51.10/33.63 inference(monotonicity,[status(thm)],[26447])).
% 51.10/33.63 tff(26449,plain,
% 51.10/33.63 (v162(sK0_VarCurr) <=> v162(constB107)),
% 51.10/33.63 inference(symmetry,[status(thm)],[26448])).
% 51.10/33.63 tff(26450,plain,
% 51.10/33.63 (v162(constB107)),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[13315, 26449])).
% 51.10/33.63 tff(26451,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB99)) | (~v84(constB99, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB99)) | (~v84(constB99, bitIndex1)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26452,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB99)) | (~v84(constB99, bitIndex1)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26453,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB99)) | (~v84(constB99, bitIndex1))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26452, 26451])).
% 51.10/33.63 tff(26454,plain,
% 51.10/33.63 (~v145(constB99)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26453, 1091, 12545])).
% 51.10/33.63 tff(26455,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB99) | (~v144(constB99)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB99) | (~v144(constB99)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26456,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB99) | (~v144(constB99)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26457,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB99) | (~v144(constB99))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26456, 26455])).
% 51.10/33.63 tff(26458,plain,
% 51.10/33.63 (~v144(constB99)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26457, 13439, 26454])).
% 51.10/33.63 tff(26459,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB99) | (~v142(constB99)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB99) | (~v142(constB99)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26460,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB99) | (~v142(constB99)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26461,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB99) | (~v142(constB99))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26460, 26459])).
% 51.10/33.63 tff(26462,plain,
% 51.10/33.63 (~v142(constB99)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26461, 13453, 26458])).
% 51.10/33.63 tff(26463,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB99)) | (~v140(constB99)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB99)) | (~v140(constB99)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26464,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB99)) | (~v140(constB99)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26465,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB99)) | (~v140(constB99))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26464, 26463])).
% 51.10/33.63 tff(26466,plain,
% 51.10/33.63 (~v138(constB99)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26465, 13495, 25174])).
% 51.10/33.63 tff(26467,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB99) | v142(constB99) | (~v135(constB99)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB99) | v142(constB99) | (~v135(constB99)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26468,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB99) | v142(constB99) | (~v135(constB99)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26469,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB99) | v142(constB99) | (~v135(constB99))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26468, 26467])).
% 51.10/33.63 tff(26470,plain,
% 51.10/33.63 (v142(constB99) | (~v135(constB99))),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26469, 13509, 26466])).
% 51.10/33.63 tff(26471,plain,
% 51.10/33.63 (~v135(constB99)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26470, 26462])).
% 51.10/33.63 tff(26472,plain,
% 51.10/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB99, constB100)) | v135(constB99) | (~v137(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB99, constB100)) | v135(constB99) | (~v137(constB100)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26473,plain,
% 51.10/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB99, constB100)) | v135(constB99) | (~v137(constB100)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26474,plain,
% 51.10/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB99, constB100)) | v135(constB99) | (~v137(constB100))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26473, 26472])).
% 51.10/33.63 tff(26475,plain,
% 51.10/33.63 (v135(constB99) | (~v137(constB100))),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26474, 13524, 12602])).
% 51.10/33.63 tff(26476,plain,
% 51.10/33.63 (~v137(constB100)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26475, 26471])).
% 51.10/33.63 tff(26477,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB100) | (~v138(constB100)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB100) | (~v138(constB100)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26478,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB100) | (~v138(constB100)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26479,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB100) | (~v138(constB100))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26478, 26477])).
% 51.10/33.63 tff(26480,plain,
% 51.10/33.63 (~v138(constB100)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26479, 13539, 26476])).
% 51.10/33.63 tff(26481,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB100) | (~v144(constB100)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB100) | (~v144(constB100)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26482,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB100) | (~v144(constB100)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26483,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB100) | (~v144(constB100))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26482, 26481])).
% 51.10/33.63 tff(26484,plain,
% 51.10/33.63 (~v144(constB100)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26483, 13567, 25196])).
% 51.10/33.63 tff(26485,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB100) | (~v142(constB100)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB100) | (~v142(constB100)))),
% 51.10/33.63 inference(rewrite,[status(thm)],[])).
% 51.10/33.63 tff(26486,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB100) | (~v142(constB100)))),
% 51.10/33.63 inference(quant_inst,[status(thm)],[])).
% 51.10/33.63 tff(26487,plain,
% 51.10/33.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB100) | (~v142(constB100))),
% 51.10/33.63 inference(modus_ponens,[status(thm)],[26486, 26485])).
% 51.10/33.63 tff(26488,plain,
% 51.10/33.63 (~v142(constB100)),
% 51.10/33.63 inference(unit_resolution,[status(thm)],[26487, 13453, 26484])).
% 51.10/33.63 tff(26489,plain,
% 51.10/33.63 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB100) | v142(constB100) | (~v135(constB100)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB100) | v142(constB100) | (~v135(constB100)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26490,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB100) | v142(constB100) | (~v135(constB100)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26491,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB100) | v142(constB100) | (~v135(constB100))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26490, 26489])).
% 51.10/33.64 tff(26492,plain,
% 51.10/33.64 (v138(constB100) | (~v135(constB100))),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26491, 13509, 26488])).
% 51.10/33.64 tff(26493,plain,
% 51.10/33.64 (~v135(constB100)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26492, 26480])).
% 51.10/33.64 tff(26494,plain,
% 51.10/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB100, constB101)) | v135(constB100) | (~v137(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB100, constB101)) | v135(constB100) | (~v137(constB101)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26495,plain,
% 51.10/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB100, constB101)) | v135(constB100) | (~v137(constB101)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26496,plain,
% 51.10/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB100, constB101)) | v135(constB100) | (~v137(constB101))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26495, 26494])).
% 51.10/33.64 tff(26497,plain,
% 51.10/33.64 (v135(constB100) | (~v137(constB101))),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26496, 13524, 13038])).
% 51.10/33.64 tff(26498,plain,
% 51.10/33.64 (~v137(constB101)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26497, 26493])).
% 51.10/33.64 tff(26499,plain,
% 51.10/33.64 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB101) | (~v154(constB101)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB101) | (~v154(constB101)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26500,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB101) | (~v154(constB101)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26501,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB101) | (~v154(constB101))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26500, 26499])).
% 51.10/33.64 tff(26502,plain,
% 51.10/33.64 (~v154(constB101)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26501, 13595, 26498])).
% 51.10/33.64 tff(26503,assumption,(v18(constB102)), introduced(assumption)).
% 51.10/33.64 tff(26504,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB102))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26505,plain,
% 51.10/33.64 ($false),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26504, 13324, 26503])).
% 51.10/33.64 tff(26506,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.64 tff(26507,plain,
% 51.10/33.64 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26508,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26509,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26508, 26507])).
% 51.10/33.64 tff(26510,plain,
% 51.10/33.64 (v22(constB102)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26509, 13337, 13161])).
% 51.10/33.64 tff(26511,plain,
% 51.10/33.64 (((~![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)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26512,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB102) | (~v22(constB102)) | (~v19(constB102)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26513,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB102) | (~v22(constB102)) | (~v19(constB102))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26512, 26511])).
% 51.10/33.64 tff(26514,plain,
% 51.10/33.64 (v18(constB102) | (~v19(constB102))),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26513, 13351, 26510])).
% 51.10/33.64 tff(26515,plain,
% 51.10/33.64 (~v19(constB102)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26514, 26506])).
% 51.10/33.64 tff(26516,plain,
% 51.10/33.64 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26517,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26518,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26517, 26516])).
% 51.10/33.64 tff(26519,plain,
% 51.10/33.64 (v13(constB102)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26518, 13363, 26515])).
% 51.10/33.64 tff(26520,plain,
% 51.10/33.64 (((~![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)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26521,plain,
% 51.10/33.64 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26522,plain,
% 51.10/33.64 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26521, 26520])).
% 51.10/33.64 tff(26523,plain,
% 51.10/33.64 (v9(constB101) | (~v13(constB102))),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26522, 13377, 13141])).
% 51.10/33.64 tff(26524,plain,
% 51.10/33.64 (v9(constB101)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26523, 26519])).
% 51.10/33.64 tff(26525,plain,
% 51.10/33.64 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v141(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB101) | (~v9(constB101)) | v141(constB101))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26526,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v141(constB101))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26527,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB101) | (~v9(constB101)) | v141(constB101)),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26526, 26525])).
% 51.10/33.64 tff(26528,plain,
% 51.10/33.64 ((~v9(constB101)) | v141(constB101)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26527, 13392, 13035])).
% 51.10/33.64 tff(26529,plain,
% 51.10/33.64 (v141(constB101)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26528, 26524])).
% 51.10/33.64 tff(26530,plain,
% 51.10/33.64 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB101)) | v140(constB101))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB101)) | v140(constB101))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26531,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB101)) | v140(constB101))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26532,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB101)) | v140(constB101)),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26531, 26530])).
% 51.10/33.64 tff(26533,plain,
% 51.10/33.64 (v140(constB101)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26532, 13404, 26529])).
% 51.10/33.64 tff(26534,plain,
% 51.10/33.64 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB101)) | (~v153(constB101)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB101)) | (~v153(constB101)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26535,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB101)) | (~v153(constB101)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26536,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB101)) | (~v153(constB101))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26535, 26534])).
% 51.10/33.64 tff(26537,plain,
% 51.10/33.64 (~v153(constB101)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26536, 13640, 26533])).
% 51.10/33.64 tff(26538,plain,
% 51.10/33.64 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB101) | v154(constB101) | (~v150(constB101)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB101) | v154(constB101) | (~v150(constB101)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26539,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB101) | v154(constB101) | (~v150(constB101)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26540,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB101) | v154(constB101) | (~v150(constB101))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26539, 26538])).
% 51.10/33.64 tff(26541,plain,
% 51.10/33.64 (v154(constB101) | (~v150(constB101))),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26540, 13654, 26537])).
% 51.10/33.64 tff(26542,plain,
% 51.10/33.64 (~v150(constB101)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26541, 26502])).
% 51.10/33.64 tff(26543,plain,
% 51.10/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB101, constB102)) | v150(constB101) | (~v152(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB101, constB102)) | v150(constB101) | (~v152(constB102)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26544,plain,
% 51.10/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB101, constB102)) | v150(constB101) | (~v152(constB102)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26545,plain,
% 51.10/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB101, constB102)) | v150(constB101) | (~v152(constB102))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26544, 26543])).
% 51.10/33.64 tff(26546,plain,
% 51.10/33.64 (v150(constB101) | (~v152(constB102))),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26545, 13669, 13141])).
% 51.10/33.64 tff(26547,plain,
% 51.10/33.64 (~v152(constB102)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26546, 26542])).
% 51.10/33.64 tff(26548,plain,
% 51.10/33.64 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB102) | (~v153(constB102)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB102) | (~v153(constB102)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26549,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB102) | (~v153(constB102)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26550,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB102) | (~v153(constB102))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26549, 26548])).
% 51.10/33.64 tff(26551,plain,
% 51.10/33.64 (~v153(constB102)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26550, 13684, 26547])).
% 51.10/33.64 tff(26552,plain,
% 51.10/33.64 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB102)) | (~v141(constB102)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB102)) | (~v141(constB102)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26553,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB102)) | (~v141(constB102)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26554,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB102)) | (~v141(constB102))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26553, 26552])).
% 51.10/33.64 tff(26555,plain,
% 51.10/33.64 (~v141(constB102)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26554, 13553, 13161])).
% 51.10/33.64 tff(26556,plain,
% 51.10/33.64 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB102) | (~v155(constB102)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB102) | (~v155(constB102)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26557,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB102) | (~v155(constB102)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26558,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB102) | (~v155(constB102))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26557, 26556])).
% 51.10/33.64 tff(26559,plain,
% 51.10/33.64 (~v155(constB102)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26558, 13702, 26555])).
% 51.10/33.64 tff(26560,plain,
% 51.10/33.64 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB102) | (~v154(constB102)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB102) | (~v154(constB102)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26561,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB102) | (~v154(constB102)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26562,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB102) | (~v154(constB102))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26561, 26560])).
% 51.10/33.64 tff(26563,plain,
% 51.10/33.64 (~v154(constB102)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26562, 13716, 26559])).
% 51.10/33.64 tff(26564,plain,
% 51.10/33.64 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB102) | v154(constB102) | (~v150(constB102)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB102) | v154(constB102) | (~v150(constB102)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26565,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB102) | v154(constB102) | (~v150(constB102)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.64 tff(26566,plain,
% 51.10/33.64 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB102) | v154(constB102) | (~v150(constB102))),
% 51.10/33.64 inference(modus_ponens,[status(thm)],[26565, 26564])).
% 51.10/33.64 tff(26567,plain,
% 51.10/33.64 (v153(constB102) | (~v150(constB102))),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26566, 13654, 26563])).
% 51.10/33.64 tff(26568,plain,
% 51.10/33.64 (~v150(constB102)),
% 51.10/33.64 inference(unit_resolution,[status(thm)],[26567, 26551])).
% 51.10/33.64 tff(26569,plain,
% 51.10/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB102, constB103)) | v150(constB102) | (~v152(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB102, constB103)) | v150(constB102) | (~v152(constB103)))),
% 51.10/33.64 inference(rewrite,[status(thm)],[])).
% 51.10/33.64 tff(26570,plain,
% 51.10/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB102, constB103)) | v150(constB102) | (~v152(constB103)))),
% 51.10/33.64 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26571,plain,
% 51.10/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB102, constB103)) | v150(constB102) | (~v152(constB103))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26570, 26569])).
% 51.10/33.65 tff(26572,plain,
% 51.10/33.65 (v150(constB102) | (~v152(constB103))),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26571, 13669, 13203])).
% 51.10/33.65 tff(26573,plain,
% 51.10/33.65 (~v152(constB103)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26572, 26568])).
% 51.10/33.65 tff(26574,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB103) | (~v164(constB103)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB103) | (~v164(constB103)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26575,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB103) | (~v164(constB103)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26576,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB103) | (~v164(constB103))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26575, 26574])).
% 51.10/33.65 tff(26577,plain,
% 51.10/33.65 (~v164(constB103)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26576, 13740, 26573])).
% 51.10/33.65 tff(26578,assumption,(v18(constB104)), introduced(assumption)).
% 51.10/33.65 tff(26579,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB104))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26580,plain,
% 51.10/33.65 ($false),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26579, 13324, 26578])).
% 51.10/33.65 tff(26581,plain,(~v18(constB104)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.65 tff(26582,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26583,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26584,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26583, 26582])).
% 51.10/33.65 tff(26585,plain,
% 51.10/33.65 (v22(constB104)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26584, 13337, 13892])).
% 51.10/33.65 tff(26586,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB104) | (~v22(constB104)) | (~v19(constB104)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB104) | (~v22(constB104)) | (~v19(constB104)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26587,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB104) | (~v22(constB104)) | (~v19(constB104)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26588,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB104) | (~v22(constB104)) | (~v19(constB104))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26587, 26586])).
% 51.10/33.65 tff(26589,plain,
% 51.10/33.65 (v18(constB104) | (~v19(constB104))),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26588, 13351, 26585])).
% 51.10/33.65 tff(26590,plain,
% 51.10/33.65 (~v19(constB104)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26589, 26581])).
% 51.10/33.65 tff(26591,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26592,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26593,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104)),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26592, 26591])).
% 51.10/33.65 tff(26594,plain,
% 51.10/33.65 (v13(constB104)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26593, 13363, 26590])).
% 51.10/33.65 tff(26595,plain,
% 51.10/33.65 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26596,plain,
% 51.10/33.65 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26597,plain,
% 51.10/33.65 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26596, 26595])).
% 51.10/33.65 tff(26598,plain,
% 51.10/33.65 (v9(constB103) | (~v13(constB104))),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26597, 13377, 13872])).
% 51.10/33.65 tff(26599,plain,
% 51.10/33.65 (v9(constB103)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26598, 26594])).
% 51.10/33.65 tff(26600,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v141(constB103))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB103) | (~v9(constB103)) | v141(constB103))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26601,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v141(constB103))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26602,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB103) | (~v9(constB103)) | v141(constB103)),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26601, 26600])).
% 51.10/33.65 tff(26603,plain,
% 51.10/33.65 ((~v9(constB103)) | v141(constB103)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26602, 13392, 13200])).
% 51.10/33.65 tff(26604,plain,
% 51.10/33.65 (v141(constB103)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26603, 26599])).
% 51.10/33.65 tff(26605,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB103)) | v140(constB103))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB103)) | v140(constB103))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26606,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB103)) | v140(constB103))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26607,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB103)) | v140(constB103)),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26606, 26605])).
% 51.10/33.65 tff(26608,plain,
% 51.10/33.65 (v140(constB103)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26607, 13404, 26604])).
% 51.10/33.65 tff(26609,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB103)) | (~v163(constB103)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB103)) | (~v163(constB103)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26610,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB103)) | (~v163(constB103)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26611,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB103)) | (~v163(constB103))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26610, 26609])).
% 51.10/33.65 tff(26612,plain,
% 51.10/33.65 (~v163(constB103)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26611, 13421, 26608])).
% 51.10/33.65 tff(26613,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB103) | v164(constB103) | (~v160(constB103)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB103) | v164(constB103) | (~v160(constB103)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26614,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB103) | v164(constB103) | (~v160(constB103)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26615,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB103) | v164(constB103) | (~v160(constB103))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26614, 26613])).
% 51.10/33.65 tff(26616,plain,
% 51.10/33.65 (v164(constB103) | (~v160(constB103))),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26615, 13754, 26612])).
% 51.10/33.65 tff(26617,plain,
% 51.10/33.65 (~v160(constB103)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26616, 26577])).
% 51.10/33.65 tff(26618,plain,
% 51.10/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB103, constB104)) | v160(constB103) | (~v162(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB103, constB104)) | v160(constB103) | (~v162(constB104)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26619,plain,
% 51.10/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB103, constB104)) | v160(constB103) | (~v162(constB104)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26620,plain,
% 51.10/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB103, constB104)) | v160(constB103) | (~v162(constB104))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26619, 26618])).
% 51.10/33.65 tff(26621,plain,
% 51.10/33.65 (v160(constB103) | (~v162(constB104))),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26620, 13769, 13872])).
% 51.10/33.65 tff(26622,plain,
% 51.10/33.65 (~v162(constB104)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26621, 26617])).
% 51.10/33.65 tff(26623,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB104) | (~v163(constB104)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB104) | (~v163(constB104)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26624,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB104) | (~v163(constB104)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26625,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB104) | (~v163(constB104))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26624, 26623])).
% 51.10/33.65 tff(26626,plain,
% 51.10/33.65 (~v163(constB104)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26625, 13784, 26622])).
% 51.10/33.65 tff(26627,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB104)) | (~v141(constB104)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB104)) | (~v141(constB104)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26628,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB104)) | (~v141(constB104)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26629,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB104)) | (~v141(constB104))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26628, 26627])).
% 51.10/33.65 tff(26630,plain,
% 51.10/33.65 (~v141(constB104)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26629, 13553, 13892])).
% 51.10/33.65 tff(26631,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB104) | (~v155(constB104)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB104) | (~v155(constB104)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26632,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB104) | (~v155(constB104)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26633,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB104) | (~v155(constB104))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26632, 26631])).
% 51.10/33.65 tff(26634,plain,
% 51.10/33.65 (~v155(constB104)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26633, 13702, 26630])).
% 51.10/33.65 tff(26635,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB104) | (~v164(constB104)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB104) | (~v164(constB104)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26636,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB104) | (~v164(constB104)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26637,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB104) | (~v164(constB104))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26636, 26635])).
% 51.10/33.65 tff(26638,plain,
% 51.10/33.65 (~v164(constB104)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26637, 13806, 26634])).
% 51.10/33.65 tff(26639,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB104) | v164(constB104) | (~v160(constB104)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB104) | v164(constB104) | (~v160(constB104)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26640,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB104) | v164(constB104) | (~v160(constB104)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26641,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB104) | v164(constB104) | (~v160(constB104))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26640, 26639])).
% 51.10/33.65 tff(26642,plain,
% 51.10/33.65 (v163(constB104) | (~v160(constB104))),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26641, 13754, 26638])).
% 51.10/33.65 tff(26643,plain,
% 51.10/33.65 (~v160(constB104)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26642, 26626])).
% 51.10/33.65 tff(26644,plain,
% 51.10/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB104, constB105)) | v160(constB104) | (~v162(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB104, constB105)) | v160(constB104) | (~v162(constB105)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26645,plain,
% 51.10/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB104, constB105)) | v160(constB104) | (~v162(constB105)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26646,plain,
% 51.10/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB104, constB105)) | v160(constB104) | (~v162(constB105))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26645, 26644])).
% 51.10/33.65 tff(26647,plain,
% 51.10/33.65 (v160(constB104) | (~v162(constB105))),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26646, 13769, 13934])).
% 51.10/33.65 tff(26648,plain,
% 51.10/33.65 (~v162(constB105)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26647, 26643])).
% 51.10/33.65 tff(26649,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB105) | (~v163(constB105)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB105) | (~v163(constB105)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26650,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB105) | (~v163(constB105)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26651,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB105) | (~v163(constB105))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26650, 26649])).
% 51.10/33.65 tff(26652,plain,
% 51.10/33.65 (~v163(constB105)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26651, 13784, 26648])).
% 51.10/33.65 tff(26653,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB101)) | (~v84(constB101, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB101)) | (~v84(constB101, bitIndex1)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26654,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB101)) | (~v84(constB101, bitIndex1)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26655,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB101)) | (~v84(constB101, bitIndex1))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26654, 26653])).
% 51.10/33.65 tff(26656,plain,
% 51.10/33.65 (~v145(constB101)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26655, 1091, 13076])).
% 51.10/33.65 tff(26657,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB101) | (~v144(constB101)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB101) | (~v144(constB101)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26658,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB101) | (~v144(constB101)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26659,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB101) | (~v144(constB101))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26658, 26657])).
% 51.10/33.65 tff(26660,plain,
% 51.10/33.65 (~v144(constB101)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26659, 13439, 26656])).
% 51.10/33.65 tff(26661,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB101) | (~v142(constB101)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB101) | (~v142(constB101)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26662,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB101) | (~v142(constB101)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26663,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB101) | (~v142(constB101))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26662, 26661])).
% 51.10/33.65 tff(26664,plain,
% 51.10/33.65 (~v142(constB101)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26663, 13453, 26660])).
% 51.10/33.65 tff(26665,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB101)) | (~v140(constB101)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB101)) | (~v140(constB101)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26666,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB101)) | (~v140(constB101)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26667,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB101)) | (~v140(constB101))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26666, 26665])).
% 51.10/33.65 tff(26668,plain,
% 51.10/33.65 (~v138(constB101)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26667, 13495, 26533])).
% 51.10/33.65 tff(26669,plain,
% 51.10/33.65 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB101) | v142(constB101) | (~v135(constB101)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB101) | v142(constB101) | (~v135(constB101)))),
% 51.10/33.65 inference(rewrite,[status(thm)],[])).
% 51.10/33.65 tff(26670,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB101) | v142(constB101) | (~v135(constB101)))),
% 51.10/33.65 inference(quant_inst,[status(thm)],[])).
% 51.10/33.65 tff(26671,plain,
% 51.10/33.65 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB101) | v142(constB101) | (~v135(constB101))),
% 51.10/33.65 inference(modus_ponens,[status(thm)],[26670, 26669])).
% 51.10/33.65 tff(26672,plain,
% 51.10/33.65 (v142(constB101) | (~v135(constB101))),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26671, 13509, 26668])).
% 51.10/33.65 tff(26673,plain,
% 51.10/33.65 (~v135(constB101)),
% 51.10/33.65 inference(unit_resolution,[status(thm)],[26672, 26664])).
% 51.10/33.65 tff(26674,plain,
% 51.10/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB101, constB102)) | v135(constB101) | (~v137(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB101, constB102)) | v135(constB101) | (~v137(constB102)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26675,plain,
% 51.10/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB101, constB102)) | v135(constB101) | (~v137(constB102)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26676,plain,
% 51.10/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB101, constB102)) | v135(constB101) | (~v137(constB102))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26675, 26674])).
% 51.10/33.66 tff(26677,plain,
% 51.10/33.66 (v135(constB101) | (~v137(constB102))),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26676, 13524, 13141])).
% 51.10/33.66 tff(26678,plain,
% 51.10/33.66 (~v137(constB102)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26677, 26673])).
% 51.10/33.66 tff(26679,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB102) | (~v138(constB102)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB102) | (~v138(constB102)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26680,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB102) | (~v138(constB102)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26681,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB102) | (~v138(constB102))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26680, 26679])).
% 51.10/33.66 tff(26682,plain,
% 51.10/33.66 (~v138(constB102)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26681, 13539, 26678])).
% 51.10/33.66 tff(26683,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB102) | (~v144(constB102)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB102) | (~v144(constB102)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26684,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB102) | (~v144(constB102)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26685,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB102) | (~v144(constB102))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26684, 26683])).
% 51.10/33.66 tff(26686,plain,
% 51.10/33.66 (~v144(constB102)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26685, 13567, 26555])).
% 51.10/33.66 tff(26687,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB102) | (~v142(constB102)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB102) | (~v142(constB102)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26688,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB102) | (~v142(constB102)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26689,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB102) | (~v142(constB102))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26688, 26687])).
% 51.10/33.66 tff(26690,plain,
% 51.10/33.66 (~v142(constB102)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26689, 13453, 26686])).
% 51.10/33.66 tff(26691,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB102) | v142(constB102) | (~v135(constB102)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB102) | v142(constB102) | (~v135(constB102)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26692,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB102) | v142(constB102) | (~v135(constB102)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26693,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB102) | v142(constB102) | (~v135(constB102))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26692, 26691])).
% 51.10/33.66 tff(26694,plain,
% 51.10/33.66 (v138(constB102) | (~v135(constB102))),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26693, 13509, 26690])).
% 51.10/33.66 tff(26695,plain,
% 51.10/33.66 (~v135(constB102)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26694, 26682])).
% 51.10/33.66 tff(26696,plain,
% 51.10/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB102, constB103)) | v135(constB102) | (~v137(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB102, constB103)) | v135(constB102) | (~v137(constB103)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26697,plain,
% 51.10/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB102, constB103)) | v135(constB102) | (~v137(constB103)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26698,plain,
% 51.10/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB102, constB103)) | v135(constB102) | (~v137(constB103))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26697, 26696])).
% 51.10/33.66 tff(26699,plain,
% 51.10/33.66 (v135(constB102) | (~v137(constB103))),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26698, 13524, 13203])).
% 51.10/33.66 tff(26700,plain,
% 51.10/33.66 (~v137(constB103)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26699, 26695])).
% 51.10/33.66 tff(26701,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB103) | (~v154(constB103)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB103) | (~v154(constB103)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26702,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB103) | (~v154(constB103)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26703,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB103) | (~v154(constB103))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26702, 26701])).
% 51.10/33.66 tff(26704,plain,
% 51.10/33.66 (~v154(constB103)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26703, 13595, 26700])).
% 51.10/33.66 tff(26705,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB103)) | (~v153(constB103)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB103)) | (~v153(constB103)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26706,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB103)) | (~v153(constB103)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26707,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB103)) | (~v153(constB103))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26706, 26705])).
% 51.10/33.66 tff(26708,plain,
% 51.10/33.66 (~v153(constB103)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26707, 13640, 26608])).
% 51.10/33.66 tff(26709,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB103) | v154(constB103) | (~v150(constB103)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB103) | v154(constB103) | (~v150(constB103)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26710,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB103) | v154(constB103) | (~v150(constB103)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26711,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB103) | v154(constB103) | (~v150(constB103))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26710, 26709])).
% 51.10/33.66 tff(26712,plain,
% 51.10/33.66 (v154(constB103) | (~v150(constB103))),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26711, 13654, 26708])).
% 51.10/33.66 tff(26713,plain,
% 51.10/33.66 (~v150(constB103)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26712, 26704])).
% 51.10/33.66 tff(26714,plain,
% 51.10/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB103, constB104)) | v150(constB103) | (~v152(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB103, constB104)) | v150(constB103) | (~v152(constB104)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26715,plain,
% 51.10/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB103, constB104)) | v150(constB103) | (~v152(constB104)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26716,plain,
% 51.10/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB103, constB104)) | v150(constB103) | (~v152(constB104))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26715, 26714])).
% 51.10/33.66 tff(26717,plain,
% 51.10/33.66 (v150(constB103) | (~v152(constB104))),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26716, 13669, 13872])).
% 51.10/33.66 tff(26718,plain,
% 51.10/33.66 (~v152(constB104)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26717, 26713])).
% 51.10/33.66 tff(26719,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB104) | (~v153(constB104)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB104) | (~v153(constB104)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26720,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB104) | (~v153(constB104)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26721,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB104) | (~v153(constB104))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26720, 26719])).
% 51.10/33.66 tff(26722,plain,
% 51.10/33.66 (~v153(constB104)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26721, 13684, 26718])).
% 51.10/33.66 tff(26723,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB104) | (~v154(constB104)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB104) | (~v154(constB104)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26724,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB104) | (~v154(constB104)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26725,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB104) | (~v154(constB104))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26724, 26723])).
% 51.10/33.66 tff(26726,plain,
% 51.10/33.66 (~v154(constB104)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26725, 13716, 26634])).
% 51.10/33.66 tff(26727,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB104) | v154(constB104) | (~v150(constB104)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB104) | v154(constB104) | (~v150(constB104)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26728,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB104) | v154(constB104) | (~v150(constB104)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26729,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB104) | v154(constB104) | (~v150(constB104))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26728, 26727])).
% 51.10/33.66 tff(26730,plain,
% 51.10/33.66 (v153(constB104) | (~v150(constB104))),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26729, 13654, 26726])).
% 51.10/33.66 tff(26731,plain,
% 51.10/33.66 (~v150(constB104)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26730, 26722])).
% 51.10/33.66 tff(26732,plain,
% 51.10/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB104, constB105)) | v150(constB104) | (~v152(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB104, constB105)) | v150(constB104) | (~v152(constB105)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26733,plain,
% 51.10/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB104, constB105)) | v150(constB104) | (~v152(constB105)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26734,plain,
% 51.10/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB104, constB105)) | v150(constB104) | (~v152(constB105))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26733, 26732])).
% 51.10/33.66 tff(26735,plain,
% 51.10/33.66 (v150(constB104) | (~v152(constB105))),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26734, 13669, 13934])).
% 51.10/33.66 tff(26736,plain,
% 51.10/33.66 (~v152(constB105)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26735, 26731])).
% 51.10/33.66 tff(26737,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB105) | (~v164(constB105)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB105) | (~v164(constB105)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26738,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB105) | (~v164(constB105)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26739,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB105) | (~v164(constB105))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26738, 26737])).
% 51.10/33.66 tff(26740,plain,
% 51.10/33.66 (~v164(constB105)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26739, 13740, 26736])).
% 51.10/33.66 tff(26741,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB105) | v164(constB105) | (~v160(constB105)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB105) | v164(constB105) | (~v160(constB105)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26742,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB105) | v164(constB105) | (~v160(constB105)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26743,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB105) | v164(constB105) | (~v160(constB105))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26742, 26741])).
% 51.10/33.66 tff(26744,plain,
% 51.10/33.66 (~v160(constB105)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26743, 13754, 26740, 26652])).
% 51.10/33.66 tff(26745,plain,
% 51.10/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB105, constB106)) | v160(constB105) | (~v162(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB105, constB106)) | v160(constB105) | (~v162(constB106)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26746,plain,
% 51.10/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB105, constB106)) | v160(constB105) | (~v162(constB106)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26747,plain,
% 51.10/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB105, constB106)) | v160(constB105) | (~v162(constB106))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26746, 26745])).
% 51.10/33.66 tff(26748,plain,
% 51.10/33.66 (v160(constB105) | (~v162(constB106))),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26747, 13769, 14050])).
% 51.10/33.66 tff(26749,plain,
% 51.10/33.66 (~v162(constB106)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26748, 26744])).
% 51.10/33.66 tff(26750,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB106) | (~v163(constB106)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB106) | (~v163(constB106)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26751,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB106) | (~v163(constB106)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26752,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB106) | (~v163(constB106))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26751, 26750])).
% 51.10/33.66 tff(26753,plain,
% 51.10/33.66 (~v163(constB106)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26752, 13784, 26749])).
% 51.10/33.66 tff(26754,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB106)) | (~v141(constB106)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB106)) | (~v141(constB106)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26755,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB106)) | (~v141(constB106)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26756,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB106)) | (~v141(constB106))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26755, 26754])).
% 51.10/33.66 tff(26757,plain,
% 51.10/33.66 (~v141(constB106)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26756, 13553, 14070])).
% 51.10/33.66 tff(26758,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB106) | (~v155(constB106)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB106) | (~v155(constB106)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26759,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB106) | (~v155(constB106)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26760,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB106) | (~v155(constB106))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26759, 26758])).
% 51.10/33.66 tff(26761,plain,
% 51.10/33.66 (~v155(constB106)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26760, 13702, 26757])).
% 51.10/33.66 tff(26762,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB106) | (~v164(constB106)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB106) | (~v164(constB106)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26763,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB106) | (~v164(constB106)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26764,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB106) | (~v164(constB106))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26763, 26762])).
% 51.10/33.66 tff(26765,plain,
% 51.10/33.66 (~v164(constB106)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26764, 13806, 26761])).
% 51.10/33.66 tff(26766,plain,
% 51.10/33.66 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB106) | v164(constB106) | (~v160(constB106)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB106) | v164(constB106) | (~v160(constB106)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26767,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB106) | v164(constB106) | (~v160(constB106)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26768,plain,
% 51.10/33.66 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB106) | v164(constB106) | (~v160(constB106))),
% 51.10/33.66 inference(modus_ponens,[status(thm)],[26767, 26766])).
% 51.10/33.66 tff(26769,plain,
% 51.10/33.66 (v163(constB106) | (~v160(constB106))),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26768, 13754, 26765])).
% 51.10/33.66 tff(26770,plain,
% 51.10/33.66 (~v160(constB106)),
% 51.10/33.66 inference(unit_resolution,[status(thm)],[26769, 26753])).
% 51.10/33.66 tff(26771,plain,
% 51.10/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB106, constB107)) | v160(constB106) | (~v162(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB106, constB107)) | v160(constB106) | (~v162(constB107)))),
% 51.10/33.66 inference(rewrite,[status(thm)],[])).
% 51.10/33.66 tff(26772,plain,
% 51.10/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB106, constB107)) | v160(constB106) | (~v162(constB107)))),
% 51.10/33.66 inference(quant_inst,[status(thm)],[])).
% 51.10/33.66 tff(26773,plain,
% 51.10/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB106, constB107)) | v160(constB106) | (~v162(constB107))),
% 51.10/33.67 inference(modus_ponens,[status(thm)],[26772, 26771])).
% 51.10/33.67 tff(26774,plain,
% 51.10/33.67 (v160(constB106) | (~v162(constB107))),
% 51.10/33.67 inference(unit_resolution,[status(thm)],[26773, 13769, 14139])).
% 51.10/33.67 tff(26775,plain,
% 51.10/33.67 (~v162(constB107)),
% 51.10/33.67 inference(unit_resolution,[status(thm)],[26774, 26770])).
% 51.10/33.67 tff(26776,plain,
% 51.10/33.67 ($false),
% 51.10/33.67 inference(unit_resolution,[status(thm)],[26775, 26450])).
% 51.10/33.67 tff(26777,plain,(~(constB107 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.10/33.67 tff(26778,assumption,(constB39 = sK0_VarCurr), introduced(assumption)).
% 51.10/33.67 tff(26779,plain,
% 51.10/33.67 (v162(constB39) <=> v162(sK0_VarCurr)),
% 51.10/33.67 inference(monotonicity,[status(thm)],[26778])).
% 51.10/33.67 tff(26780,plain,
% 51.10/33.67 (v162(sK0_VarCurr) <=> v162(constB39)),
% 51.10/33.67 inference(symmetry,[status(thm)],[26779])).
% 51.10/33.67 tff(26781,plain,
% 51.10/33.67 (v162(constB39)),
% 51.10/33.67 inference(modus_ponens,[status(thm)],[13315, 26780])).
% 51.10/33.67 tff(26782,plain,
% 51.10/33.67 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB33)) | (~v84(constB33, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB33)) | (~v84(constB33, bitIndex2)))),
% 51.10/33.67 inference(rewrite,[status(thm)],[])).
% 51.10/33.67 tff(26783,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB33)) | (~v84(constB33, bitIndex2)))),
% 51.10/33.67 inference(quant_inst,[status(thm)],[])).
% 51.10/33.67 tff(26784,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB33)) | (~v84(constB33, bitIndex2))),
% 51.10/33.67 inference(modus_ponens,[status(thm)],[26783, 26782])).
% 51.10/33.67 tff(26785,plain,
% 51.10/33.67 (~v145(constB33)),
% 51.10/33.67 inference(unit_resolution,[status(thm)],[26784, 4483, 5397])).
% 51.10/33.67 tff(26786,plain,
% 51.10/33.67 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB33) | (~v144(constB33)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB33) | (~v144(constB33)))),
% 51.10/33.67 inference(rewrite,[status(thm)],[])).
% 51.10/33.67 tff(26787,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB33) | (~v144(constB33)))),
% 51.10/33.67 inference(quant_inst,[status(thm)],[])).
% 51.10/33.67 tff(26788,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB33) | (~v144(constB33))),
% 51.10/33.67 inference(modus_ponens,[status(thm)],[26787, 26786])).
% 51.10/33.67 tff(26789,plain,
% 51.10/33.67 (~v144(constB33)),
% 51.10/33.67 inference(unit_resolution,[status(thm)],[26788, 13439, 26785])).
% 51.10/33.67 tff(26790,plain,
% 51.10/33.67 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB33) | (~v142(constB33)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB33) | (~v142(constB33)))),
% 51.10/33.67 inference(rewrite,[status(thm)],[])).
% 51.10/33.67 tff(26791,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB33) | (~v142(constB33)))),
% 51.10/33.67 inference(quant_inst,[status(thm)],[])).
% 51.10/33.67 tff(26792,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB33) | (~v142(constB33))),
% 51.10/33.67 inference(modus_ponens,[status(thm)],[26791, 26790])).
% 51.10/33.67 tff(26793,plain,
% 51.10/33.67 (~v142(constB33)),
% 51.10/33.67 inference(unit_resolution,[status(thm)],[26792, 13453, 26789])).
% 51.10/33.67 tff(26794,plain,
% 51.10/33.67 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB31)) | (~v84(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB31)) | (~v84(constB31, bitIndex1)))),
% 51.10/33.67 inference(rewrite,[status(thm)],[])).
% 51.10/33.67 tff(26795,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB31)) | (~v84(constB31, bitIndex1)))),
% 51.10/33.67 inference(quant_inst,[status(thm)],[])).
% 51.10/33.67 tff(26796,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB31)) | (~v84(constB31, bitIndex1))),
% 51.10/33.67 inference(modus_ponens,[status(thm)],[26795, 26794])).
% 51.10/33.67 tff(26797,plain,
% 51.10/33.67 (~v145(constB31)),
% 51.10/33.67 inference(unit_resolution,[status(thm)],[26796, 1091, 5238])).
% 51.10/33.67 tff(26798,plain,
% 51.10/33.67 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB31) | (~v144(constB31)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB31) | (~v144(constB31)))),
% 51.10/33.67 inference(rewrite,[status(thm)],[])).
% 51.10/33.67 tff(26799,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB31) | (~v144(constB31)))),
% 51.10/33.67 inference(quant_inst,[status(thm)],[])).
% 51.10/33.67 tff(26800,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB31) | (~v144(constB31))),
% 51.10/33.67 inference(modus_ponens,[status(thm)],[26799, 26798])).
% 51.10/33.67 tff(26801,plain,
% 51.10/33.67 (~v144(constB31)),
% 51.10/33.67 inference(unit_resolution,[status(thm)],[26800, 13439, 26797])).
% 51.10/33.67 tff(26802,plain,
% 51.10/33.67 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB31) | (~v142(constB31)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB31) | (~v142(constB31)))),
% 51.10/33.67 inference(rewrite,[status(thm)],[])).
% 51.10/33.67 tff(26803,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB31) | (~v142(constB31)))),
% 51.10/33.67 inference(quant_inst,[status(thm)],[])).
% 51.10/33.67 tff(26804,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB31) | (~v142(constB31))),
% 51.10/33.67 inference(modus_ponens,[status(thm)],[26803, 26802])).
% 51.10/33.67 tff(26805,plain,
% 51.10/33.67 (~v142(constB31)),
% 51.10/33.67 inference(unit_resolution,[status(thm)],[26804, 13453, 26801])).
% 51.10/33.67 tff(26806,plain,
% 51.10/33.67 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB31)) | (~v140(constB31)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB31)) | (~v140(constB31)))),
% 51.10/33.67 inference(rewrite,[status(thm)],[])).
% 51.10/33.67 tff(26807,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB31)) | (~v140(constB31)))),
% 51.10/33.67 inference(quant_inst,[status(thm)],[])).
% 51.10/33.67 tff(26808,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB31)) | (~v140(constB31))),
% 51.10/33.67 inference(modus_ponens,[status(thm)],[26807, 26806])).
% 51.10/33.67 tff(26809,plain,
% 51.10/33.67 (~v138(constB31)),
% 51.10/33.67 inference(unit_resolution,[status(thm)],[26808, 13495, 13630])).
% 51.10/33.67 tff(26810,plain,
% 51.10/33.67 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB31) | v142(constB31) | (~v135(constB31)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB31) | v142(constB31) | (~v135(constB31)))),
% 51.10/33.67 inference(rewrite,[status(thm)],[])).
% 51.10/33.67 tff(26811,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB31) | v142(constB31) | (~v135(constB31)))),
% 51.10/33.67 inference(quant_inst,[status(thm)],[])).
% 51.10/33.67 tff(26812,plain,
% 51.10/33.67 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB31) | v142(constB31) | (~v135(constB31))),
% 51.10/33.67 inference(modus_ponens,[status(thm)],[26811, 26810])).
% 51.10/33.67 tff(26813,plain,
% 51.10/33.67 (v142(constB31) | (~v135(constB31))),
% 51.10/33.67 inference(unit_resolution,[status(thm)],[26812, 13509, 26809])).
% 51.10/33.67 tff(26814,plain,
% 51.10/33.67 (~v135(constB31)),
% 51.10/33.67 inference(unit_resolution,[status(thm)],[26813, 26805])).
% 51.10/33.67 tff(26815,plain,
% 51.10/33.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32)))),
% 51.10/33.67 inference(rewrite,[status(thm)],[])).
% 51.10/33.67 tff(26816,plain,
% 51.10/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32)))),
% 51.10/33.67 inference(quant_inst,[status(thm)],[])).
% 51.10/33.67 tff(26817,plain,
% 51.19/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32))),
% 51.19/33.67 inference(modus_ponens,[status(thm)],[26816, 26815])).
% 51.19/33.67 tff(26818,plain,
% 51.19/33.67 (v135(constB31) | (~v137(constB32))),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26817, 13524, 5314])).
% 51.19/33.67 tff(26819,plain,
% 51.19/33.67 (~v137(constB32)),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26818, 26814])).
% 51.19/33.67 tff(26820,plain,
% 51.19/33.67 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB32) | (~v138(constB32)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB32) | (~v138(constB32)))),
% 51.19/33.67 inference(rewrite,[status(thm)],[])).
% 51.19/33.67 tff(26821,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB32) | (~v138(constB32)))),
% 51.19/33.67 inference(quant_inst,[status(thm)],[])).
% 51.19/33.67 tff(26822,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB32) | (~v138(constB32))),
% 51.19/33.67 inference(modus_ponens,[status(thm)],[26821, 26820])).
% 51.19/33.67 tff(26823,plain,
% 51.19/33.67 (~v138(constB32)),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26822, 13539, 26819])).
% 51.19/33.67 tff(26824,plain,
% 51.19/33.67 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB32) | (~v144(constB32)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB32) | (~v144(constB32)))),
% 51.19/33.67 inference(rewrite,[status(thm)],[])).
% 51.19/33.67 tff(26825,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB32) | (~v144(constB32)))),
% 51.19/33.67 inference(quant_inst,[status(thm)],[])).
% 51.19/33.67 tff(26826,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB32) | (~v144(constB32))),
% 51.19/33.67 inference(modus_ponens,[status(thm)],[26825, 26824])).
% 51.19/33.67 tff(26827,plain,
% 51.19/33.67 (~v144(constB32)),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26826, 13567, 13692])).
% 51.19/33.67 tff(26828,plain,
% 51.19/33.67 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB32) | (~v142(constB32)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB32) | (~v142(constB32)))),
% 51.19/33.67 inference(rewrite,[status(thm)],[])).
% 51.19/33.67 tff(26829,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB32) | (~v142(constB32)))),
% 51.19/33.67 inference(quant_inst,[status(thm)],[])).
% 51.19/33.67 tff(26830,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB32) | (~v142(constB32))),
% 51.19/33.67 inference(modus_ponens,[status(thm)],[26829, 26828])).
% 51.19/33.67 tff(26831,plain,
% 51.19/33.67 (~v142(constB32)),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26830, 13453, 26827])).
% 51.19/33.67 tff(26832,plain,
% 51.19/33.67 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB32) | v142(constB32) | (~v135(constB32)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB32) | v142(constB32) | (~v135(constB32)))),
% 51.19/33.67 inference(rewrite,[status(thm)],[])).
% 51.19/33.67 tff(26833,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB32) | v142(constB32) | (~v135(constB32)))),
% 51.19/33.67 inference(quant_inst,[status(thm)],[])).
% 51.19/33.67 tff(26834,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB32) | v142(constB32) | (~v135(constB32))),
% 51.19/33.67 inference(modus_ponens,[status(thm)],[26833, 26832])).
% 51.19/33.67 tff(26835,plain,
% 51.19/33.67 (v138(constB32) | (~v135(constB32))),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26834, 13509, 26831])).
% 51.19/33.67 tff(26836,plain,
% 51.19/33.67 (~v135(constB32)),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26835, 26823])).
% 51.19/33.67 tff(26837,plain,
% 51.19/33.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33)))),
% 51.19/33.67 inference(rewrite,[status(thm)],[])).
% 51.19/33.67 tff(26838,plain,
% 51.19/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33)))),
% 51.19/33.67 inference(quant_inst,[status(thm)],[])).
% 51.19/33.67 tff(26839,plain,
% 51.19/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33))),
% 51.19/33.67 inference(modus_ponens,[status(thm)],[26838, 26837])).
% 51.19/33.67 tff(26840,plain,
% 51.19/33.67 (v135(constB32) | (~v137(constB33))),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26839, 13524, 5376])).
% 51.19/33.67 tff(26841,plain,
% 51.19/33.67 (~v137(constB33)),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26840, 26836])).
% 51.19/33.67 tff(26842,plain,
% 51.19/33.67 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB33) | (~v138(constB33)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB33) | (~v138(constB33)))),
% 51.19/33.67 inference(rewrite,[status(thm)],[])).
% 51.19/33.67 tff(26843,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB33) | (~v138(constB33)))),
% 51.19/33.67 inference(quant_inst,[status(thm)],[])).
% 51.19/33.67 tff(26844,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB33) | (~v138(constB33))),
% 51.19/33.67 inference(modus_ponens,[status(thm)],[26843, 26842])).
% 51.19/33.67 tff(26845,plain,
% 51.19/33.67 (~v138(constB33)),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26844, 13539, 26841])).
% 51.19/33.67 tff(26846,plain,
% 51.19/33.67 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB33) | v142(constB33) | (~v135(constB33)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB33) | v142(constB33) | (~v135(constB33)))),
% 51.19/33.67 inference(rewrite,[status(thm)],[])).
% 51.19/33.67 tff(26847,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB33) | v142(constB33) | (~v135(constB33)))),
% 51.19/33.67 inference(quant_inst,[status(thm)],[])).
% 51.19/33.67 tff(26848,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB33) | v142(constB33) | (~v135(constB33))),
% 51.19/33.67 inference(modus_ponens,[status(thm)],[26847, 26846])).
% 51.19/33.67 tff(26849,plain,
% 51.19/33.67 (v142(constB33) | (~v135(constB33))),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26848, 13509, 26845])).
% 51.19/33.67 tff(26850,plain,
% 51.19/33.67 (~v135(constB33)),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26849, 26793])).
% 51.19/33.67 tff(26851,plain,
% 51.19/33.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34)))),
% 51.19/33.67 inference(rewrite,[status(thm)],[])).
% 51.19/33.67 tff(26852,plain,
% 51.19/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34)))),
% 51.19/33.67 inference(quant_inst,[status(thm)],[])).
% 51.19/33.67 tff(26853,plain,
% 51.19/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34))),
% 51.19/33.67 inference(modus_ponens,[status(thm)],[26852, 26851])).
% 51.19/33.67 tff(26854,plain,
% 51.19/33.67 (v135(constB33) | (~v137(constB34))),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26853, 13524, 5506])).
% 51.19/33.67 tff(26855,plain,
% 51.19/33.67 (~v137(constB34)),
% 51.19/33.67 inference(unit_resolution,[status(thm)],[26854, 26850])).
% 51.19/33.67 tff(26856,plain,
% 51.19/33.67 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB34) | (~v138(constB34)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB34) | (~v138(constB34)))),
% 51.19/33.67 inference(rewrite,[status(thm)],[])).
% 51.19/33.67 tff(26857,plain,
% 51.19/33.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB34) | (~v138(constB34)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26858,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB34) | (~v138(constB34))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26857, 26856])).
% 51.19/33.68 tff(26859,plain,
% 51.19/33.68 (~v138(constB34)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26858, 13539, 26855])).
% 51.19/33.68 tff(26860,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB34) | (~v144(constB34)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB34) | (~v144(constB34)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26861,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB34) | (~v144(constB34)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26862,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB34) | (~v144(constB34))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26861, 26860])).
% 51.19/33.68 tff(26863,plain,
% 51.19/33.68 (~v144(constB34)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26862, 13567, 13792])).
% 51.19/33.68 tff(26864,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB34) | (~v142(constB34)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB34) | (~v142(constB34)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26865,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB34) | (~v142(constB34)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26866,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB34) | (~v142(constB34))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26865, 26864])).
% 51.19/33.68 tff(26867,plain,
% 51.19/33.68 (~v142(constB34)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26866, 13453, 26863])).
% 51.19/33.68 tff(26868,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB34) | v142(constB34) | (~v135(constB34)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB34) | v142(constB34) | (~v135(constB34)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26869,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB34) | v142(constB34) | (~v135(constB34)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26870,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB34) | v142(constB34) | (~v135(constB34))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26869, 26868])).
% 51.19/33.68 tff(26871,plain,
% 51.19/33.68 (v138(constB34) | (~v135(constB34))),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26870, 13509, 26867])).
% 51.19/33.68 tff(26872,plain,
% 51.19/33.68 (~v135(constB34)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26871, 26859])).
% 51.19/33.68 tff(26873,plain,
% 51.19/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26874,plain,
% 51.19/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26875,plain,
% 51.19/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26874, 26873])).
% 51.19/33.68 tff(26876,plain,
% 51.19/33.68 (v135(constB34) | (~v137(constB35))),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26875, 13524, 5568])).
% 51.19/33.68 tff(26877,plain,
% 51.19/33.68 (~v137(constB35)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26876, 26872])).
% 51.19/33.68 tff(26878,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB35) | (~v154(constB35)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB35) | (~v154(constB35)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26879,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB35) | (~v154(constB35)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26880,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB35) | (~v154(constB35))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26879, 26878])).
% 51.19/33.68 tff(26881,plain,
% 51.19/33.68 (~v154(constB35)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26880, 13595, 26877])).
% 51.19/33.68 tff(26882,assumption,(v18(constB36)), introduced(assumption)).
% 51.19/33.68 tff(26883,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB36))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26884,plain,
% 51.19/33.68 ($false),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26883, 13324, 26882])).
% 51.19/33.68 tff(26885,plain,(~v18(constB36)), inference(lemma,lemma(discharge,[]))).
% 51.19/33.68 tff(26886,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB36) | (~v1(constB36)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB36) | (~v1(constB36)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26887,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB36) | (~v1(constB36)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26888,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB36) | (~v1(constB36))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26887, 26886])).
% 51.19/33.68 tff(26889,plain,
% 51.19/33.68 (v22(constB36)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26888, 13337, 5762])).
% 51.19/33.68 tff(26890,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB36) | (~v22(constB36)) | (~v19(constB36)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB36) | (~v22(constB36)) | (~v19(constB36)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26891,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB36) | (~v22(constB36)) | (~v19(constB36)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26892,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB36) | (~v22(constB36)) | (~v19(constB36))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26891, 26890])).
% 51.19/33.68 tff(26893,plain,
% 51.19/33.68 (v18(constB36) | (~v19(constB36))),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26892, 13351, 26889])).
% 51.19/33.68 tff(26894,plain,
% 51.19/33.68 (~v19(constB36)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26893, 26885])).
% 51.19/33.68 tff(26895,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB36) | v19(constB36))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB36) | v19(constB36))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26896,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB36) | v19(constB36))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26897,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB36) | v19(constB36)),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26896, 26895])).
% 51.19/33.68 tff(26898,plain,
% 51.19/33.68 (v13(constB36)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26897, 13363, 26894])).
% 51.19/33.68 tff(26899,plain,
% 51.19/33.68 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB35) | (~v13(constB36)) | (~nextState(constB35, constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB35) | (~v13(constB36)) | (~nextState(constB35, constB36)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26900,plain,
% 51.19/33.68 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB35) | (~v13(constB36)) | (~nextState(constB35, constB36)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26901,plain,
% 51.19/33.68 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB35) | (~v13(constB36)) | (~nextState(constB35, constB36))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26900, 26899])).
% 51.19/33.68 tff(26902,plain,
% 51.19/33.68 (v9(constB35) | (~v13(constB36))),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26901, 13377, 5666])).
% 51.19/33.68 tff(26903,plain,
% 51.19/33.68 (v9(constB35)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26902, 26898])).
% 51.19/33.68 tff(26904,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB35) | (~v9(constB35)) | v141(constB35))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB35) | (~v9(constB35)) | v141(constB35))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26905,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB35) | (~v9(constB35)) | v141(constB35))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26906,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB35) | (~v9(constB35)) | v141(constB35)),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26905, 26904])).
% 51.19/33.68 tff(26907,plain,
% 51.19/33.68 ((~v9(constB35)) | v141(constB35)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26906, 13392, 5565])).
% 51.19/33.68 tff(26908,plain,
% 51.19/33.68 (v141(constB35)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26907, 26903])).
% 51.19/33.68 tff(26909,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB35)) | v140(constB35))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB35)) | v140(constB35))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26910,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB35)) | v140(constB35))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26911,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB35)) | v140(constB35)),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26910, 26909])).
% 51.19/33.68 tff(26912,plain,
% 51.19/33.68 (v140(constB35)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26911, 13404, 26908])).
% 51.19/33.68 tff(26913,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB35)) | (~v153(constB35)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB35)) | (~v153(constB35)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26914,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB35)) | (~v153(constB35)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26915,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB35)) | (~v153(constB35))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26914, 26913])).
% 51.19/33.68 tff(26916,plain,
% 51.19/33.68 (~v153(constB35)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26915, 13640, 26912])).
% 51.19/33.68 tff(26917,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB35) | v154(constB35) | (~v150(constB35)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB35) | v154(constB35) | (~v150(constB35)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26918,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB35) | v154(constB35) | (~v150(constB35)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26919,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB35) | v154(constB35) | (~v150(constB35))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26918, 26917])).
% 51.19/33.68 tff(26920,plain,
% 51.19/33.68 (v154(constB35) | (~v150(constB35))),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26919, 13654, 26916])).
% 51.19/33.68 tff(26921,plain,
% 51.19/33.68 (~v150(constB35)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26920, 26881])).
% 51.19/33.68 tff(26922,plain,
% 51.19/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26923,plain,
% 51.19/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26924,plain,
% 51.19/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26923, 26922])).
% 51.19/33.68 tff(26925,plain,
% 51.19/33.68 (v150(constB35) | (~v152(constB36))),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26924, 13669, 5666])).
% 51.19/33.68 tff(26926,plain,
% 51.19/33.68 (~v152(constB36)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26925, 26921])).
% 51.19/33.68 tff(26927,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB36) | (~v153(constB36)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB36) | (~v153(constB36)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26928,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB36) | (~v153(constB36)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26929,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB36) | (~v153(constB36))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26928, 26927])).
% 51.19/33.68 tff(26930,plain,
% 51.19/33.68 (~v153(constB36)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26929, 13684, 26926])).
% 51.19/33.68 tff(26931,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB36)) | (~v141(constB36)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB36)) | (~v141(constB36)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26932,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB36)) | (~v141(constB36)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26933,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB36)) | (~v141(constB36))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26932, 26931])).
% 51.19/33.68 tff(26934,plain,
% 51.19/33.68 (~v141(constB36)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26933, 13553, 5762])).
% 51.19/33.68 tff(26935,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB36) | (~v155(constB36)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB36) | (~v155(constB36)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26936,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB36) | (~v155(constB36)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26937,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB36) | (~v155(constB36))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26936, 26935])).
% 51.19/33.68 tff(26938,plain,
% 51.19/33.68 (~v155(constB36)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26937, 13702, 26934])).
% 51.19/33.68 tff(26939,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB36) | (~v154(constB36)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB36) | (~v154(constB36)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26940,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB36) | (~v154(constB36)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26941,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB36) | (~v154(constB36))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26940, 26939])).
% 51.19/33.68 tff(26942,plain,
% 51.19/33.68 (~v154(constB36)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26941, 13716, 26938])).
% 51.19/33.68 tff(26943,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB36) | v154(constB36) | (~v150(constB36)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB36) | v154(constB36) | (~v150(constB36)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26944,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB36) | v154(constB36) | (~v150(constB36)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26945,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB36) | v154(constB36) | (~v150(constB36))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26944, 26943])).
% 51.19/33.68 tff(26946,plain,
% 51.19/33.68 (v153(constB36) | (~v150(constB36))),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26945, 13654, 26942])).
% 51.19/33.68 tff(26947,plain,
% 51.19/33.68 (~v150(constB36)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26946, 26930])).
% 51.19/33.68 tff(26948,plain,
% 51.19/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26949,plain,
% 51.19/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26950,plain,
% 51.19/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26949, 26948])).
% 51.19/33.68 tff(26951,plain,
% 51.19/33.68 (v150(constB36) | (~v152(constB37))),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26950, 13669, 5786])).
% 51.19/33.68 tff(26952,plain,
% 51.19/33.68 (~v152(constB37)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26951, 26947])).
% 51.19/33.68 tff(26953,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB37) | (~v164(constB37)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB37) | (~v164(constB37)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26954,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB37) | (~v164(constB37)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26955,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB37) | (~v164(constB37))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26954, 26953])).
% 51.19/33.68 tff(26956,plain,
% 51.19/33.68 (~v164(constB37)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26955, 13740, 26952])).
% 51.19/33.68 tff(26957,assumption,(v18(constB38)), introduced(assumption)).
% 51.19/33.68 tff(26958,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB38))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26959,plain,
% 51.19/33.68 ($false),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26958, 13324, 26957])).
% 51.19/33.68 tff(26960,plain,(~v18(constB38)), inference(lemma,lemma(discharge,[]))).
% 51.19/33.68 tff(26961,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38)))),
% 51.19/33.68 inference(rewrite,[status(thm)],[])).
% 51.19/33.68 tff(26962,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))),
% 51.19/33.68 inference(quant_inst,[status(thm)],[])).
% 51.19/33.68 tff(26963,plain,
% 51.19/33.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38))),
% 51.19/33.68 inference(modus_ponens,[status(thm)],[26962, 26961])).
% 51.19/33.68 tff(26964,plain,
% 51.19/33.68 (v22(constB38)),
% 51.19/33.68 inference(unit_resolution,[status(thm)],[26963, 13337, 5954])).
% 51.19/33.68 tff(26965,plain,
% 51.19/33.68 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB38) | (~v22(constB38)) | (~v19(constB38)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB38) | (~v22(constB38)) | (~v19(constB38)))),
% 51.19/33.69 inference(rewrite,[status(thm)],[])).
% 51.19/33.69 tff(26966,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB38) | (~v22(constB38)) | (~v19(constB38)))),
% 51.19/33.69 inference(quant_inst,[status(thm)],[])).
% 51.19/33.69 tff(26967,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB38) | (~v22(constB38)) | (~v19(constB38))),
% 51.19/33.69 inference(modus_ponens,[status(thm)],[26966, 26965])).
% 51.19/33.69 tff(26968,plain,
% 51.19/33.69 (v18(constB38) | (~v19(constB38))),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[26967, 13351, 26964])).
% 51.19/33.69 tff(26969,plain,
% 51.19/33.69 (~v19(constB38)),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[26968, 26960])).
% 51.19/33.69 tff(26970,plain,
% 51.19/33.69 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38))),
% 51.19/33.69 inference(rewrite,[status(thm)],[])).
% 51.19/33.69 tff(26971,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))),
% 51.19/33.69 inference(quant_inst,[status(thm)],[])).
% 51.19/33.69 tff(26972,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38)),
% 51.19/33.69 inference(modus_ponens,[status(thm)],[26971, 26970])).
% 51.19/33.69 tff(26973,plain,
% 51.19/33.69 (v13(constB38)),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[26972, 13363, 26969])).
% 51.19/33.69 tff(26974,plain,
% 51.19/33.69 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38)))),
% 51.19/33.69 inference(rewrite,[status(thm)],[])).
% 51.19/33.69 tff(26975,plain,
% 51.19/33.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38)))),
% 51.19/33.69 inference(quant_inst,[status(thm)],[])).
% 51.19/33.69 tff(26976,plain,
% 51.19/33.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38))),
% 51.19/33.69 inference(modus_ponens,[status(thm)],[26975, 26974])).
% 51.19/33.69 tff(26977,plain,
% 51.19/33.69 (v9(constB37) | (~v13(constB38))),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[26976, 13377, 5934])).
% 51.19/33.69 tff(26978,plain,
% 51.19/33.69 (v9(constB37)),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[26977, 26973])).
% 51.19/33.69 tff(26979,plain,
% 51.19/33.69 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v141(constB37))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB37) | (~v9(constB37)) | v141(constB37))),
% 51.19/33.69 inference(rewrite,[status(thm)],[])).
% 51.19/33.69 tff(26980,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v141(constB37))),
% 51.19/33.69 inference(quant_inst,[status(thm)],[])).
% 51.19/33.69 tff(26981,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB37) | (~v9(constB37)) | v141(constB37)),
% 51.19/33.69 inference(modus_ponens,[status(thm)],[26980, 26979])).
% 51.19/33.69 tff(26982,plain,
% 51.19/33.69 ((~v9(constB37)) | v141(constB37)),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[26981, 13392, 5783])).
% 51.19/33.69 tff(26983,plain,
% 51.19/33.69 (v141(constB37)),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[26982, 26978])).
% 51.19/33.69 tff(26984,plain,
% 51.19/33.69 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB37)) | v140(constB37))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB37)) | v140(constB37))),
% 51.19/33.69 inference(rewrite,[status(thm)],[])).
% 51.19/33.69 tff(26985,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB37)) | v140(constB37))),
% 51.19/33.69 inference(quant_inst,[status(thm)],[])).
% 51.19/33.69 tff(26986,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB37)) | v140(constB37)),
% 51.19/33.69 inference(modus_ponens,[status(thm)],[26985, 26984])).
% 51.19/33.69 tff(26987,plain,
% 51.19/33.69 (v140(constB37)),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[26986, 13404, 26983])).
% 51.19/33.69 tff(26988,plain,
% 51.19/33.69 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB37)) | (~v163(constB37)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB37)) | (~v163(constB37)))),
% 51.19/33.69 inference(rewrite,[status(thm)],[])).
% 51.19/33.69 tff(26989,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB37)) | (~v163(constB37)))),
% 51.19/33.69 inference(quant_inst,[status(thm)],[])).
% 51.19/33.69 tff(26990,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB37)) | (~v163(constB37))),
% 51.19/33.69 inference(modus_ponens,[status(thm)],[26989, 26988])).
% 51.19/33.69 tff(26991,plain,
% 51.19/33.69 (~v163(constB37)),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[26990, 13421, 26987])).
% 51.19/33.69 tff(26992,plain,
% 51.19/33.69 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB37) | v164(constB37) | (~v160(constB37)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB37) | v164(constB37) | (~v160(constB37)))),
% 51.19/33.69 inference(rewrite,[status(thm)],[])).
% 51.19/33.69 tff(26993,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB37) | v164(constB37) | (~v160(constB37)))),
% 51.19/33.69 inference(quant_inst,[status(thm)],[])).
% 51.19/33.69 tff(26994,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB37) | v164(constB37) | (~v160(constB37))),
% 51.19/33.69 inference(modus_ponens,[status(thm)],[26993, 26992])).
% 51.19/33.69 tff(26995,plain,
% 51.19/33.69 (v164(constB37) | (~v160(constB37))),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[26994, 13754, 26991])).
% 51.19/33.69 tff(26996,plain,
% 51.19/33.69 (~v160(constB37)),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[26995, 26956])).
% 51.19/33.69 tff(26997,plain,
% 51.19/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38)))),
% 51.19/33.69 inference(rewrite,[status(thm)],[])).
% 51.19/33.69 tff(26998,plain,
% 51.19/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38)))),
% 51.19/33.69 inference(quant_inst,[status(thm)],[])).
% 51.19/33.69 tff(26999,plain,
% 51.19/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38))),
% 51.19/33.69 inference(modus_ponens,[status(thm)],[26998, 26997])).
% 51.19/33.69 tff(27000,plain,
% 51.19/33.69 (v160(constB37) | (~v162(constB38))),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[26999, 13769, 5934])).
% 51.19/33.69 tff(27001,plain,
% 51.19/33.69 (~v162(constB38)),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[27000, 26996])).
% 51.19/33.69 tff(27002,plain,
% 51.19/33.69 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB38) | (~v163(constB38)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB38) | (~v163(constB38)))),
% 51.19/33.69 inference(rewrite,[status(thm)],[])).
% 51.19/33.69 tff(27003,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB38) | (~v163(constB38)))),
% 51.19/33.69 inference(quant_inst,[status(thm)],[])).
% 51.19/33.69 tff(27004,plain,
% 51.19/33.69 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB38) | (~v163(constB38))),
% 51.19/33.69 inference(modus_ponens,[status(thm)],[27003, 27002])).
% 51.19/33.69 tff(27005,plain,
% 51.19/33.69 (~v163(constB38)),
% 51.19/33.69 inference(unit_resolution,[status(thm)],[27004, 13784, 27001])).
% 51.20/33.69 tff(27006,plain,
% 51.20/33.69 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB38)) | (~v141(constB38)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB38)) | (~v141(constB38)))),
% 51.20/33.69 inference(rewrite,[status(thm)],[])).
% 51.20/33.69 tff(27007,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB38)) | (~v141(constB38)))),
% 51.20/33.69 inference(quant_inst,[status(thm)],[])).
% 51.20/33.69 tff(27008,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB38)) | (~v141(constB38))),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[27007, 27006])).
% 51.20/33.69 tff(27009,plain,
% 51.20/33.69 (~v141(constB38)),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27008, 13553, 5954])).
% 51.20/33.69 tff(27010,plain,
% 51.20/33.69 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB38) | (~v155(constB38)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB38) | (~v155(constB38)))),
% 51.20/33.69 inference(rewrite,[status(thm)],[])).
% 51.20/33.69 tff(27011,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB38) | (~v155(constB38)))),
% 51.20/33.69 inference(quant_inst,[status(thm)],[])).
% 51.20/33.69 tff(27012,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB38) | (~v155(constB38))),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[27011, 27010])).
% 51.20/33.69 tff(27013,plain,
% 51.20/33.69 (~v155(constB38)),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27012, 13702, 27009])).
% 51.20/33.69 tff(27014,plain,
% 51.20/33.69 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB38) | (~v164(constB38)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB38) | (~v164(constB38)))),
% 51.20/33.69 inference(rewrite,[status(thm)],[])).
% 51.20/33.69 tff(27015,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB38) | (~v164(constB38)))),
% 51.20/33.69 inference(quant_inst,[status(thm)],[])).
% 51.20/33.69 tff(27016,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB38) | (~v164(constB38))),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[27015, 27014])).
% 51.20/33.69 tff(27017,plain,
% 51.20/33.69 (~v164(constB38)),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27016, 13806, 27013])).
% 51.20/33.69 tff(27018,plain,
% 51.20/33.69 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB38) | v164(constB38) | (~v160(constB38)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB38) | v164(constB38) | (~v160(constB38)))),
% 51.20/33.69 inference(rewrite,[status(thm)],[])).
% 51.20/33.69 tff(27019,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB38) | v164(constB38) | (~v160(constB38)))),
% 51.20/33.69 inference(quant_inst,[status(thm)],[])).
% 51.20/33.69 tff(27020,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB38) | v164(constB38) | (~v160(constB38))),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[27019, 27018])).
% 51.20/33.69 tff(27021,plain,
% 51.20/33.69 (v163(constB38) | (~v160(constB38))),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27020, 13754, 27017])).
% 51.20/33.69 tff(27022,plain,
% 51.20/33.69 (~v160(constB38)),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27021, 27005])).
% 51.20/33.69 tff(27023,plain,
% 51.20/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39)))),
% 51.20/33.69 inference(rewrite,[status(thm)],[])).
% 51.20/33.69 tff(27024,plain,
% 51.20/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39)))),
% 51.20/33.69 inference(quant_inst,[status(thm)],[])).
% 51.20/33.69 tff(27025,plain,
% 51.20/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39))),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[27024, 27023])).
% 51.20/33.69 tff(27026,plain,
% 51.20/33.69 (v160(constB38) | (~v162(constB39))),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27025, 13769, 5996])).
% 51.20/33.69 tff(27027,plain,
% 51.20/33.69 (~v162(constB39)),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27026, 27022])).
% 51.20/33.69 tff(27028,plain,
% 51.20/33.69 ($false),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27027, 26781])).
% 51.20/33.69 tff(27029,plain,(~(constB39 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.20/33.69 tff(27030,assumption,(constB70 = sK0_VarCurr), introduced(assumption)).
% 51.20/33.69 tff(27031,plain,
% 51.20/33.69 (v1(constB70) <=> v1(sK0_VarCurr)),
% 51.20/33.69 inference(monotonicity,[status(thm)],[27030])).
% 51.20/33.69 tff(27032,plain,
% 51.20/33.69 (v1(sK0_VarCurr) <=> v1(constB70)),
% 51.20/33.69 inference(symmetry,[status(thm)],[27031])).
% 51.20/33.69 tff(27033,plain,
% 51.20/33.69 ((~v1(sK0_VarCurr)) <=> (~v1(constB70))),
% 51.20/33.69 inference(monotonicity,[status(thm)],[27032])).
% 51.20/33.69 tff(27034,plain,
% 51.20/33.69 (~v1(constB70)),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[25725, 27033])).
% 51.20/33.69 tff(27035,plain,
% 51.20/33.69 ($false),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[9186, 27034])).
% 51.20/33.69 tff(27036,plain,(~(constB70 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.20/33.69 tff(27037,assumption,(constB170 = sK0_VarCurr), introduced(assumption)).
% 51.20/33.69 tff(27038,plain,
% 51.20/33.69 (v1(constB170) <=> v1(sK0_VarCurr)),
% 51.20/33.69 inference(monotonicity,[status(thm)],[27037])).
% 51.20/33.69 tff(27039,plain,
% 51.20/33.69 (v1(sK0_VarCurr) <=> v1(constB170)),
% 51.20/33.69 inference(symmetry,[status(thm)],[27038])).
% 51.20/33.69 tff(27040,plain,
% 51.20/33.69 ((~v1(sK0_VarCurr)) <=> (~v1(constB170))),
% 51.20/33.69 inference(monotonicity,[status(thm)],[27039])).
% 51.20/33.69 tff(27041,plain,
% 51.20/33.69 (~v1(constB170)),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[25725, 27040])).
% 51.20/33.69 tff(27042,plain,
% 51.20/33.69 ($false),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[21485, 27041])).
% 51.20/33.69 tff(27043,plain,(~(constB170 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.20/33.69 tff(27044,assumption,(constB150 = sK0_VarCurr), introduced(assumption)).
% 51.20/33.69 tff(27045,plain,
% 51.20/33.69 (v1(constB150) <=> v1(sK0_VarCurr)),
% 51.20/33.69 inference(monotonicity,[status(thm)],[27044])).
% 51.20/33.69 tff(27046,plain,
% 51.20/33.69 (v1(sK0_VarCurr) <=> v1(constB150)),
% 51.20/33.69 inference(symmetry,[status(thm)],[27045])).
% 51.20/33.69 tff(27047,plain,
% 51.20/33.69 ((~v1(sK0_VarCurr)) <=> (~v1(constB150))),
% 51.20/33.69 inference(monotonicity,[status(thm)],[27046])).
% 51.20/33.69 tff(27048,plain,
% 51.20/33.69 (~v1(constB150)),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[25725, 27047])).
% 51.20/33.69 tff(27049,plain,
% 51.20/33.69 ($false),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[19273, 27048])).
% 51.20/33.69 tff(27050,plain,(~(constB150 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.20/33.69 tff(27051,assumption,(constB11 = sK0_VarCurr), introduced(assumption)).
% 51.20/33.69 tff(27052,plain,
% 51.20/33.69 (v162(constB11) <=> v162(sK0_VarCurr)),
% 51.20/33.69 inference(monotonicity,[status(thm)],[27051])).
% 51.20/33.69 tff(27053,plain,
% 51.20/33.69 (v162(sK0_VarCurr) <=> v162(constB11)),
% 51.20/33.69 inference(symmetry,[status(thm)],[27052])).
% 51.20/33.69 tff(27054,plain,
% 51.20/33.69 (v162(constB11)),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[13315, 27053])).
% 51.20/33.69 tff(27055,plain,
% 51.20/33.69 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB5) | (~v144(constB5)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB5) | (~v144(constB5)))),
% 51.20/33.69 inference(rewrite,[status(thm)],[])).
% 51.20/33.69 tff(27056,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB5) | (~v144(constB5)))),
% 51.20/33.69 inference(quant_inst,[status(thm)],[])).
% 51.20/33.69 tff(27057,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB5) | (~v144(constB5))),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[27056, 27055])).
% 51.20/33.69 tff(27058,plain,
% 51.20/33.69 (~v144(constB5)),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27057, 13439, 1095])).
% 51.20/33.69 tff(27059,plain,
% 51.20/33.69 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB5) | (~v142(constB5)))),
% 51.20/33.69 inference(rewrite,[status(thm)],[])).
% 51.20/33.69 tff(27060,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB5) | (~v142(constB5)))),
% 51.20/33.69 inference(quant_inst,[status(thm)],[])).
% 51.20/33.69 tff(27061,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB5) | (~v142(constB5))),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[27060, 27059])).
% 51.20/33.69 tff(27062,plain,
% 51.20/33.69 (~v142(constB5)),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27061, 13453, 27058])).
% 51.20/33.69 tff(27063,assumption,(v18(constB6)), introduced(assumption)).
% 51.20/33.69 tff(27064,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB6))),
% 51.20/33.69 inference(quant_inst,[status(thm)],[])).
% 51.20/33.69 tff(27065,plain,
% 51.20/33.69 ($false),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27064, 13324, 27063])).
% 51.20/33.69 tff(27066,plain,(~v18(constB6)), inference(lemma,lemma(discharge,[]))).
% 51.20/33.69 tff(27067,plain,
% 51.20/33.69 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6)))),
% 51.20/33.69 inference(rewrite,[status(thm)],[])).
% 51.20/33.69 tff(27068,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))),
% 51.20/33.69 inference(quant_inst,[status(thm)],[])).
% 51.20/33.69 tff(27069,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6))),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[27068, 27067])).
% 51.20/33.69 tff(27070,plain,
% 51.20/33.69 (v22(constB6)),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27069, 13337, 1015])).
% 51.20/33.69 tff(27071,plain,
% 51.20/33.69 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB6) | (~v22(constB6)) | (~v19(constB6)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB6) | (~v22(constB6)) | (~v19(constB6)))),
% 51.20/33.69 inference(rewrite,[status(thm)],[])).
% 51.20/33.69 tff(27072,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB6) | (~v22(constB6)) | (~v19(constB6)))),
% 51.20/33.69 inference(quant_inst,[status(thm)],[])).
% 51.20/33.69 tff(27073,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB6) | (~v22(constB6)) | (~v19(constB6))),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[27072, 27071])).
% 51.20/33.69 tff(27074,plain,
% 51.20/33.69 (v18(constB6) | (~v19(constB6))),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27073, 13351, 27070])).
% 51.20/33.69 tff(27075,plain,
% 51.20/33.69 (~v19(constB6)),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27074, 27066])).
% 51.20/33.69 tff(27076,plain,
% 51.20/33.69 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6))),
% 51.20/33.69 inference(rewrite,[status(thm)],[])).
% 51.20/33.69 tff(27077,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))),
% 51.20/33.69 inference(quant_inst,[status(thm)],[])).
% 51.20/33.69 tff(27078,plain,
% 51.20/33.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6)),
% 51.20/33.69 inference(modus_ponens,[status(thm)],[27077, 27076])).
% 51.20/33.69 tff(27079,plain,
% 51.20/33.69 (v13(constB6)),
% 51.20/33.69 inference(unit_resolution,[status(thm)],[27078, 13363, 27075])).
% 51.20/33.69 tff(27080,plain,
% 51.20/33.70 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27081,plain,
% 51.20/33.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27082,plain,
% 51.20/33.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27081, 27080])).
% 51.20/33.70 tff(27083,plain,
% 51.20/33.70 (v9(constB5) | (~v13(constB6))),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27082, 13377, 995])).
% 51.20/33.70 tff(27084,plain,
% 51.20/33.70 (v9(constB5)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27083, 27079])).
% 51.20/33.70 tff(27085,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v141(constB5))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB5) | (~v9(constB5)) | v141(constB5))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27086,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v141(constB5))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27087,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB5) | (~v9(constB5)) | v141(constB5)),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27086, 27085])).
% 51.20/33.70 tff(27088,plain,
% 51.20/33.70 ((~v9(constB5)) | v141(constB5)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27087, 13392, 812])).
% 51.20/33.70 tff(27089,plain,
% 51.20/33.70 (v141(constB5)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27088, 27084])).
% 51.20/33.70 tff(27090,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB5)) | v140(constB5))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB5)) | v140(constB5))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27091,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB5)) | v140(constB5))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27092,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB5)) | v140(constB5)),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27091, 27090])).
% 51.20/33.70 tff(27093,plain,
% 51.20/33.70 (v140(constB5)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27092, 13404, 27089])).
% 51.20/33.70 tff(27094,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB5)) | (~v140(constB5)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB5)) | (~v140(constB5)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27095,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB5)) | (~v140(constB5)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27096,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB5)) | (~v140(constB5))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27095, 27094])).
% 51.20/33.70 tff(27097,plain,
% 51.20/33.70 (~v138(constB5)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27096, 13495, 27093])).
% 51.20/33.70 tff(27098,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB5) | v142(constB5) | (~v135(constB5)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB5) | v142(constB5) | (~v135(constB5)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27099,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB5) | v142(constB5) | (~v135(constB5)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27100,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB5) | v142(constB5) | (~v135(constB5))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27099, 27098])).
% 51.20/33.70 tff(27101,plain,
% 51.20/33.70 (v142(constB5) | (~v135(constB5))),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27100, 13509, 27097])).
% 51.20/33.70 tff(27102,plain,
% 51.20/33.70 (~v135(constB5)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27101, 27062])).
% 51.20/33.70 tff(27103,plain,
% 51.20/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27104,plain,
% 51.20/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27105,plain,
% 51.20/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27104, 27103])).
% 51.20/33.70 tff(27106,plain,
% 51.20/33.70 (v135(constB5) | (~v137(constB6))),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27105, 13524, 995])).
% 51.20/33.70 tff(27107,plain,
% 51.20/33.70 (~v137(constB6)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27106, 27102])).
% 51.20/33.70 tff(27108,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB6) | (~v138(constB6)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB6) | (~v138(constB6)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27109,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB6) | (~v138(constB6)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27110,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB6) | (~v138(constB6))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27109, 27108])).
% 51.20/33.70 tff(27111,plain,
% 51.20/33.70 (~v138(constB6)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27110, 13539, 27107])).
% 51.20/33.70 tff(27112,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB6)) | (~v141(constB6)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB6)) | (~v141(constB6)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27113,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB6)) | (~v141(constB6)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27114,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB6)) | (~v141(constB6))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27113, 27112])).
% 51.20/33.70 tff(27115,plain,
% 51.20/33.70 (~v141(constB6)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27114, 13553, 1015])).
% 51.20/33.70 tff(27116,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB6) | (~v144(constB6)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB6) | (~v144(constB6)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27117,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB6) | (~v144(constB6)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27118,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB6) | (~v144(constB6))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27117, 27116])).
% 51.20/33.70 tff(27119,plain,
% 51.20/33.70 (~v144(constB6)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27118, 13567, 27115])).
% 51.20/33.70 tff(27120,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB6) | (~v142(constB6)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB6) | (~v142(constB6)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27121,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB6) | (~v142(constB6)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27122,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB6) | (~v142(constB6))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27121, 27120])).
% 51.20/33.70 tff(27123,plain,
% 51.20/33.70 (~v142(constB6)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27122, 13453, 27119])).
% 51.20/33.70 tff(27124,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB6) | v142(constB6) | (~v135(constB6)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB6) | v142(constB6) | (~v135(constB6)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27125,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB6) | v142(constB6) | (~v135(constB6)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27126,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB6) | v142(constB6) | (~v135(constB6))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27125, 27124])).
% 51.20/33.70 tff(27127,plain,
% 51.20/33.70 (v138(constB6) | (~v135(constB6))),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27126, 13509, 27123])).
% 51.20/33.70 tff(27128,plain,
% 51.20/33.70 (~v135(constB6)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27127, 27111])).
% 51.20/33.70 tff(27129,plain,
% 51.20/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27130,plain,
% 51.20/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27131,plain,
% 51.20/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27130, 27129])).
% 51.20/33.70 tff(27132,plain,
% 51.20/33.70 (v135(constB6) | (~v137(constB7))),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27131, 13524, 1139])).
% 51.20/33.70 tff(27133,plain,
% 51.20/33.70 (~v137(constB7)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27132, 27128])).
% 51.20/33.70 tff(27134,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB7) | (~v154(constB7)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB7) | (~v154(constB7)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27135,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB7) | (~v154(constB7)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27136,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB7) | (~v154(constB7))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27135, 27134])).
% 51.20/33.70 tff(27137,plain,
% 51.20/33.70 (~v154(constB7)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27136, 13595, 27133])).
% 51.20/33.70 tff(27138,assumption,(v18(constB8)), introduced(assumption)).
% 51.20/33.70 tff(27139,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB8))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27140,plain,
% 51.20/33.70 ($false),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27139, 13324, 27138])).
% 51.20/33.70 tff(27141,plain,(~v18(constB8)), inference(lemma,lemma(discharge,[]))).
% 51.20/33.70 tff(27142,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27143,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27144,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27143, 27142])).
% 51.20/33.70 tff(27145,plain,
% 51.20/33.70 (v22(constB8)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27144, 13337, 1350])).
% 51.20/33.70 tff(27146,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB8) | (~v22(constB8)) | (~v19(constB8)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB8) | (~v22(constB8)) | (~v19(constB8)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27147,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB8) | (~v22(constB8)) | (~v19(constB8)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27148,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB8) | (~v22(constB8)) | (~v19(constB8))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27147, 27146])).
% 51.20/33.70 tff(27149,plain,
% 51.20/33.70 (v18(constB8) | (~v19(constB8))),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27148, 13351, 27145])).
% 51.20/33.70 tff(27150,plain,
% 51.20/33.70 (~v19(constB8)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27149, 27141])).
% 51.20/33.70 tff(27151,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27152,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27153,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8)),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27152, 27151])).
% 51.20/33.70 tff(27154,plain,
% 51.20/33.70 (v13(constB8)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27153, 13363, 27150])).
% 51.20/33.70 tff(27155,plain,
% 51.20/33.70 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27156,plain,
% 51.20/33.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8)))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27157,plain,
% 51.20/33.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8))),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27156, 27155])).
% 51.20/33.70 tff(27158,plain,
% 51.20/33.70 (v9(constB7) | (~v13(constB8))),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27157, 13377, 1330])).
% 51.20/33.70 tff(27159,plain,
% 51.20/33.70 (v9(constB7)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27158, 27154])).
% 51.20/33.70 tff(27160,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v141(constB7))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB7) | (~v9(constB7)) | v141(constB7))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27161,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v141(constB7))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27162,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB7) | (~v9(constB7)) | v141(constB7)),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27161, 27160])).
% 51.20/33.70 tff(27163,plain,
% 51.20/33.70 ((~v9(constB7)) | v141(constB7)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27162, 13392, 1136])).
% 51.20/33.70 tff(27164,plain,
% 51.20/33.70 (v141(constB7)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27163, 27159])).
% 51.20/33.70 tff(27165,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB7)) | v140(constB7))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB7)) | v140(constB7))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.70 tff(27166,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB7)) | v140(constB7))),
% 51.20/33.70 inference(quant_inst,[status(thm)],[])).
% 51.20/33.70 tff(27167,plain,
% 51.20/33.70 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB7)) | v140(constB7)),
% 51.20/33.70 inference(modus_ponens,[status(thm)],[27166, 27165])).
% 51.20/33.70 tff(27168,plain,
% 51.20/33.70 (v140(constB7)),
% 51.20/33.70 inference(unit_resolution,[status(thm)],[27167, 13404, 27164])).
% 51.20/33.70 tff(27169,plain,
% 51.20/33.70 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB7)) | (~v153(constB7)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB7)) | (~v153(constB7)))),
% 51.20/33.70 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27170,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB7)) | (~v153(constB7)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27171,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB7)) | (~v153(constB7))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27170, 27169])).
% 51.20/33.71 tff(27172,plain,
% 51.20/33.71 (~v153(constB7)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27171, 13640, 27168])).
% 51.20/33.71 tff(27173,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB7) | v154(constB7) | (~v150(constB7)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB7) | v154(constB7) | (~v150(constB7)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27174,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB7) | v154(constB7) | (~v150(constB7)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27175,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB7) | v154(constB7) | (~v150(constB7))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27174, 27173])).
% 51.20/33.71 tff(27176,plain,
% 51.20/33.71 (v154(constB7) | (~v150(constB7))),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27175, 13654, 27172])).
% 51.20/33.71 tff(27177,plain,
% 51.20/33.71 (~v150(constB7)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27176, 27137])).
% 51.20/33.71 tff(27178,plain,
% 51.20/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27179,plain,
% 51.20/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27180,plain,
% 51.20/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27179, 27178])).
% 51.20/33.71 tff(27181,plain,
% 51.20/33.71 (v150(constB7) | (~v152(constB8))),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27180, 13669, 1330])).
% 51.20/33.71 tff(27182,plain,
% 51.20/33.71 (~v152(constB8)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27181, 27177])).
% 51.20/33.71 tff(27183,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB8) | (~v153(constB8)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB8) | (~v153(constB8)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27184,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB8) | (~v153(constB8)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27185,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB8) | (~v153(constB8))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27184, 27183])).
% 51.20/33.71 tff(27186,plain,
% 51.20/33.71 (~v153(constB8)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27185, 13684, 27182])).
% 51.20/33.71 tff(27187,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB8)) | (~v141(constB8)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB8)) | (~v141(constB8)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27188,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB8)) | (~v141(constB8)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27189,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB8)) | (~v141(constB8))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27188, 27187])).
% 51.20/33.71 tff(27190,plain,
% 51.20/33.71 (~v141(constB8)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27189, 13553, 1350])).
% 51.20/33.71 tff(27191,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB8) | (~v155(constB8)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB8) | (~v155(constB8)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27192,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB8) | (~v155(constB8)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27193,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB8) | (~v155(constB8))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27192, 27191])).
% 51.20/33.71 tff(27194,plain,
% 51.20/33.71 (~v155(constB8)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27193, 13702, 27190])).
% 51.20/33.71 tff(27195,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB8) | (~v154(constB8)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB8) | (~v154(constB8)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27196,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB8) | (~v154(constB8)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27197,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB8) | (~v154(constB8))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27196, 27195])).
% 51.20/33.71 tff(27198,plain,
% 51.20/33.71 (~v154(constB8)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27197, 13716, 27194])).
% 51.20/33.71 tff(27199,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB8) | v154(constB8) | (~v150(constB8)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB8) | v154(constB8) | (~v150(constB8)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27200,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB8) | v154(constB8) | (~v150(constB8)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27201,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB8) | v154(constB8) | (~v150(constB8))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27200, 27199])).
% 51.20/33.71 tff(27202,plain,
% 51.20/33.71 (v153(constB8) | (~v150(constB8))),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27201, 13654, 27198])).
% 51.20/33.71 tff(27203,plain,
% 51.20/33.71 (~v150(constB8)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27202, 27186])).
% 51.20/33.71 tff(27204,plain,
% 51.20/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27205,plain,
% 51.20/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27206,plain,
% 51.20/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27205, 27204])).
% 51.20/33.71 tff(27207,plain,
% 51.20/33.71 (v150(constB8) | (~v152(constB9))),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27206, 13669, 1484])).
% 51.20/33.71 tff(27208,plain,
% 51.20/33.71 (~v152(constB9)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27207, 27203])).
% 51.20/33.71 tff(27209,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB9) | (~v164(constB9)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB9) | (~v164(constB9)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27210,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB9) | (~v164(constB9)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27211,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB9) | (~v164(constB9))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27210, 27209])).
% 51.20/33.71 tff(27212,plain,
% 51.20/33.71 (~v164(constB9)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27211, 13740, 27208])).
% 51.20/33.71 tff(27213,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB3)) | (~v84(constB3, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB3)) | (~v84(constB3, bitIndex2)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27214,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB3)) | (~v84(constB3, bitIndex2)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27215,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB3)) | (~v84(constB3, bitIndex2))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27214, 27213])).
% 51.20/33.71 tff(27216,plain,
% 51.20/33.71 (~v145(constB3)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27215, 4483, 585])).
% 51.20/33.71 tff(27217,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB3) | (~v144(constB3)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB3) | (~v144(constB3)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27218,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB3) | (~v144(constB3)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27219,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB3) | (~v144(constB3))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27218, 27217])).
% 51.20/33.71 tff(27220,plain,
% 51.20/33.71 (~v144(constB3)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27219, 13439, 27216])).
% 51.20/33.71 tff(27221,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB3) | (~v142(constB3)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB3) | (~v142(constB3)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27222,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB3) | (~v142(constB3)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27223,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB3) | (~v142(constB3))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27222, 27221])).
% 51.20/33.71 tff(27224,plain,
% 51.20/33.71 (~v142(constB3)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27223, 13453, 27220])).
% 51.20/33.71 tff(27225,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB1) | (~v138(constB1)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB1) | (~v138(constB1)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27226,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB1) | (~v138(constB1)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27227,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB1) | (~v138(constB1))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27226, 27225])).
% 51.20/33.71 tff(27228,plain,
% 51.20/33.71 (~v138(constB1)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27227, 13539, 26282])).
% 51.20/33.71 tff(27229,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB1)) | v84(constB1, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB1)) | v84(constB1, bitIndex0))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27230,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB1)) | v84(constB1, bitIndex0))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27231,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB1)) | v84(constB1, bitIndex0)),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27230, 27229])).
% 51.20/33.71 tff(27232,plain,
% 51.20/33.71 (~v145(constB1)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27231, 3162, 195])).
% 51.20/33.71 tff(27233,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB1) | (~v144(constB1)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB1) | (~v144(constB1)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27234,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB1) | (~v144(constB1)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27235,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB1) | (~v144(constB1))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27234, 27233])).
% 51.20/33.71 tff(27236,plain,
% 51.20/33.71 (~v144(constB1)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27235, 13439, 27232])).
% 51.20/33.71 tff(27237,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB1) | (~v142(constB1)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB1) | (~v142(constB1)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27238,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB1) | (~v142(constB1)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27239,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB1) | (~v142(constB1))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27238, 27237])).
% 51.20/33.71 tff(27240,plain,
% 51.20/33.71 (~v142(constB1)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27239, 13453, 27236])).
% 51.20/33.71 tff(27241,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB1) | v142(constB1) | (~v135(constB1)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB1) | v142(constB1) | (~v135(constB1)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27242,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB1) | v142(constB1) | (~v135(constB1)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27243,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB1) | v142(constB1) | (~v135(constB1))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27242, 27241])).
% 51.20/33.71 tff(27244,plain,
% 51.20/33.71 (~v135(constB1)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27243, 13509, 27240, 27228])).
% 51.20/33.71 tff(27245,plain,
% 51.20/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27246,plain,
% 51.20/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27247,plain,
% 51.20/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27246, 27245])).
% 51.20/33.71 tff(27248,plain,
% 51.20/33.71 (v135(constB1) | (~v137(constB2))),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27247, 13524, 244])).
% 51.20/33.71 tff(27249,plain,
% 51.20/33.71 (~v137(constB2)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27248, 27244])).
% 51.20/33.71 tff(27250,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB2) | (~v138(constB2)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB2) | (~v138(constB2)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27251,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB2) | (~v138(constB2)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27252,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB2) | (~v138(constB2))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27251, 27250])).
% 51.20/33.71 tff(27253,plain,
% 51.20/33.71 (~v138(constB2)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27252, 13539, 27249])).
% 51.20/33.71 tff(27254,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB2) | (~v144(constB2)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB2) | (~v144(constB2)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27255,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB2) | (~v144(constB2)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27256,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB2) | (~v144(constB2))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27255, 27254])).
% 51.20/33.71 tff(27257,plain,
% 51.20/33.71 (~v144(constB2)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27256, 13567, 26328])).
% 51.20/33.71 tff(27258,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB2) | (~v142(constB2)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB2) | (~v142(constB2)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27259,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB2) | (~v142(constB2)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27260,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB2) | (~v142(constB2))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27259, 27258])).
% 51.20/33.71 tff(27261,plain,
% 51.20/33.71 (~v142(constB2)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27260, 13453, 27257])).
% 51.20/33.71 tff(27262,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB2) | v142(constB2) | (~v135(constB2)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB2) | v142(constB2) | (~v135(constB2)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27263,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB2) | v142(constB2) | (~v135(constB2)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27264,plain,
% 51.20/33.71 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB2) | v142(constB2) | (~v135(constB2))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27263, 27262])).
% 51.20/33.71 tff(27265,plain,
% 51.20/33.71 (v138(constB2) | (~v135(constB2))),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27264, 13509, 27261])).
% 51.20/33.71 tff(27266,plain,
% 51.20/33.71 (~v135(constB2)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27265, 27253])).
% 51.20/33.71 tff(27267,plain,
% 51.20/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27268,plain,
% 51.20/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3)))),
% 51.20/33.71 inference(quant_inst,[status(thm)],[])).
% 51.20/33.71 tff(27269,plain,
% 51.20/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3))),
% 51.20/33.71 inference(modus_ponens,[status(thm)],[27268, 27267])).
% 51.20/33.71 tff(27270,plain,
% 51.20/33.71 (v135(constB2) | (~v137(constB3))),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27269, 13524, 545])).
% 51.20/33.71 tff(27271,plain,
% 51.20/33.71 (~v137(constB3)),
% 51.20/33.71 inference(unit_resolution,[status(thm)],[27270, 27266])).
% 51.20/33.71 tff(27272,plain,
% 51.20/33.71 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB3) | (~v138(constB3)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB3) | (~v138(constB3)))),
% 51.20/33.71 inference(rewrite,[status(thm)],[])).
% 51.20/33.71 tff(27273,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB3) | (~v138(constB3)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27274,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB3) | (~v138(constB3))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27273, 27272])).
% 51.23/33.72 tff(27275,plain,
% 51.23/33.72 (~v138(constB3)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27274, 13539, 27271])).
% 51.23/33.72 tff(27276,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB3) | v142(constB3) | (~v135(constB3)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB3) | v142(constB3) | (~v135(constB3)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27277,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB3) | v142(constB3) | (~v135(constB3)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27278,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB3) | v142(constB3) | (~v135(constB3))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27277, 27276])).
% 51.23/33.72 tff(27279,plain,
% 51.23/33.72 (v142(constB3) | (~v135(constB3))),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27278, 13509, 27275])).
% 51.23/33.72 tff(27280,plain,
% 51.23/33.72 (~v135(constB3)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27279, 27224])).
% 51.23/33.72 tff(27281,plain,
% 51.23/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB3, constB4)) | v135(constB3) | (~v137(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB3, constB4)) | v135(constB3) | (~v137(constB4)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27282,plain,
% 51.23/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB3, constB4)) | v135(constB3) | (~v137(constB4)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27283,plain,
% 51.23/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB3, constB4)) | v135(constB3) | (~v137(constB4))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27282, 27281])).
% 51.23/33.72 tff(27284,plain,
% 51.23/33.72 (v135(constB3) | (~v137(constB4))),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27283, 13524, 703])).
% 51.23/33.72 tff(27285,plain,
% 51.23/33.72 (~v137(constB4)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27284, 27280])).
% 51.23/33.72 tff(27286,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB4) | (~v138(constB4)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB4) | (~v138(constB4)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27287,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB4) | (~v138(constB4)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27288,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB4) | (~v138(constB4))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27287, 27286])).
% 51.23/33.72 tff(27289,plain,
% 51.23/33.72 (~v138(constB4)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27288, 13539, 27285])).
% 51.23/33.72 tff(27290,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB4) | (~v144(constB4)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB4) | (~v144(constB4)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27291,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB4) | (~v144(constB4)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27292,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB4) | (~v144(constB4))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27291, 27290])).
% 51.23/33.72 tff(27293,plain,
% 51.23/33.72 (~v144(constB4)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27292, 13567, 26426])).
% 51.23/33.72 tff(27294,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB4) | (~v142(constB4)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB4) | (~v142(constB4)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27295,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB4) | (~v142(constB4)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27296,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB4) | (~v142(constB4))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27295, 27294])).
% 51.23/33.72 tff(27297,plain,
% 51.23/33.72 (~v142(constB4)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27296, 13453, 27293])).
% 51.23/33.72 tff(27298,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB4) | v142(constB4) | (~v135(constB4)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB4) | v142(constB4) | (~v135(constB4)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27299,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB4) | v142(constB4) | (~v135(constB4)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27300,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB4) | v142(constB4) | (~v135(constB4))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27299, 27298])).
% 51.23/33.72 tff(27301,plain,
% 51.23/33.72 (v138(constB4) | (~v135(constB4))),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27300, 13509, 27297])).
% 51.23/33.72 tff(27302,plain,
% 51.23/33.72 (~v135(constB4)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27301, 27289])).
% 51.23/33.72 tff(27303,plain,
% 51.23/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB4, constB5)) | v135(constB4) | (~v137(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB4, constB5)) | v135(constB4) | (~v137(constB5)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27304,plain,
% 51.23/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB4, constB5)) | v135(constB4) | (~v137(constB5)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27305,plain,
% 51.23/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB4, constB5)) | v135(constB4) | (~v137(constB5))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27304, 27303])).
% 51.23/33.72 tff(27306,plain,
% 51.23/33.72 (v135(constB4) | (~v137(constB5))),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27305, 13524, 815])).
% 51.23/33.72 tff(27307,plain,
% 51.23/33.72 (~v137(constB5)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27306, 27302])).
% 51.23/33.72 tff(27308,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB5) | (~v154(constB5)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB5) | (~v154(constB5)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27309,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB5) | (~v154(constB5)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27310,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB5) | (~v154(constB5))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27309, 27308])).
% 51.23/33.72 tff(27311,plain,
% 51.23/33.72 (~v154(constB5)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27310, 13595, 27307])).
% 51.23/33.72 tff(27312,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB3) | (~v154(constB3)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB3) | (~v154(constB3)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27313,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB3) | (~v154(constB3)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27314,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB3) | (~v154(constB3))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27313, 27312])).
% 51.23/33.72 tff(27315,plain,
% 51.23/33.72 (~v154(constB3)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27314, 13595, 27271])).
% 51.23/33.72 tff(27316,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB3) | (~v153(constB3)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB3) | (~v153(constB3)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27317,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB3) | (~v153(constB3)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27318,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB3) | (~v153(constB3))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27317, 27316])).
% 51.23/33.72 tff(27319,plain,
% 51.23/33.72 (~v153(constB3)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27318, 13684, 26346])).
% 51.23/33.72 tff(27320,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB3) | v154(constB3) | (~v150(constB3)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB3) | v154(constB3) | (~v150(constB3)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27321,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB3) | v154(constB3) | (~v150(constB3)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27322,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB3) | v154(constB3) | (~v150(constB3))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27321, 27320])).
% 51.23/33.72 tff(27323,plain,
% 51.23/33.72 (v154(constB3) | (~v150(constB3))),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27322, 13654, 27319])).
% 51.23/33.72 tff(27324,plain,
% 51.23/33.72 (~v150(constB3)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27323, 27315])).
% 51.23/33.72 tff(27325,plain,
% 51.23/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27326,plain,
% 51.23/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27327,plain,
% 51.23/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27326, 27325])).
% 51.23/33.72 tff(27328,plain,
% 51.23/33.72 (v150(constB3) | (~v152(constB4))),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27327, 13669, 703])).
% 51.23/33.72 tff(27329,plain,
% 51.23/33.72 (~v152(constB4)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27328, 27324])).
% 51.23/33.72 tff(27330,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB4) | (~v153(constB4)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB4) | (~v153(constB4)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27331,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB4) | (~v153(constB4)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27332,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB4) | (~v153(constB4))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27331, 27330])).
% 51.23/33.72 tff(27333,plain,
% 51.23/33.72 (~v153(constB4)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27332, 13684, 27329])).
% 51.23/33.72 tff(27334,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB4) | (~v154(constB4)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB4) | (~v154(constB4)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27335,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB4) | (~v154(constB4)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27336,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB4) | (~v154(constB4))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27335, 27334])).
% 51.23/33.72 tff(27337,plain,
% 51.23/33.72 (~v154(constB4)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27336, 13716, 26430])).
% 51.23/33.72 tff(27338,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB4) | v154(constB4) | (~v150(constB4)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB4) | v154(constB4) | (~v150(constB4)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27339,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB4) | v154(constB4) | (~v150(constB4)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27340,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB4) | v154(constB4) | (~v150(constB4))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27339, 27338])).
% 51.23/33.72 tff(27341,plain,
% 51.23/33.72 (v153(constB4) | (~v150(constB4))),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27340, 13654, 27337])).
% 51.23/33.72 tff(27342,plain,
% 51.23/33.72 (~v150(constB4)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27341, 27333])).
% 51.23/33.72 tff(27343,plain,
% 51.23/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27344,plain,
% 51.23/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27345,plain,
% 51.23/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27344, 27343])).
% 51.23/33.72 tff(27346,plain,
% 51.23/33.72 (v150(constB4) | (~v152(constB5))),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27345, 13669, 815])).
% 51.23/33.72 tff(27347,plain,
% 51.23/33.72 (~v152(constB5)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27346, 27342])).
% 51.23/33.72 tff(27348,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB5) | (~v153(constB5)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB5) | (~v153(constB5)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27349,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB5) | (~v153(constB5)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27350,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB5) | (~v153(constB5))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27349, 27348])).
% 51.23/33.72 tff(27351,plain,
% 51.23/33.72 (~v153(constB5)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27350, 13684, 27347])).
% 51.23/33.72 tff(27352,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB5) | v154(constB5) | (~v150(constB5)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB5) | v154(constB5) | (~v150(constB5)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27353,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB5) | v154(constB5) | (~v150(constB5)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27354,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB5) | v154(constB5) | (~v150(constB5))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27353, 27352])).
% 51.23/33.72 tff(27355,plain,
% 51.23/33.72 (v154(constB5) | (~v150(constB5))),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27354, 13654, 27351])).
% 51.23/33.72 tff(27356,plain,
% 51.23/33.72 (~v150(constB5)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27355, 27311])).
% 51.23/33.72 tff(27357,plain,
% 51.23/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB5, constB6)) | v150(constB5) | (~v152(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB5, constB6)) | v150(constB5) | (~v152(constB6)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27358,plain,
% 51.23/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB5, constB6)) | v150(constB5) | (~v152(constB6)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27359,plain,
% 51.23/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB5, constB6)) | v150(constB5) | (~v152(constB6))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27358, 27357])).
% 51.23/33.72 tff(27360,plain,
% 51.23/33.72 (v150(constB5) | (~v152(constB6))),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27359, 13669, 995])).
% 51.23/33.72 tff(27361,plain,
% 51.23/33.72 (~v152(constB6)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27360, 27356])).
% 51.23/33.72 tff(27362,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB6) | (~v153(constB6)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB6) | (~v153(constB6)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27363,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB6) | (~v153(constB6)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27364,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB6) | (~v153(constB6))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27363, 27362])).
% 51.23/33.72 tff(27365,plain,
% 51.23/33.72 (~v153(constB6)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27364, 13684, 27361])).
% 51.23/33.72 tff(27366,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB6) | (~v155(constB6)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB6) | (~v155(constB6)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27367,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB6) | (~v155(constB6)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27368,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB6) | (~v155(constB6))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27367, 27366])).
% 51.23/33.72 tff(27369,plain,
% 51.23/33.72 (~v155(constB6)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27368, 13702, 27115])).
% 51.23/33.72 tff(27370,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB6) | (~v154(constB6)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB6) | (~v154(constB6)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27371,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB6) | (~v154(constB6)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27372,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB6) | (~v154(constB6))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27371, 27370])).
% 51.23/33.72 tff(27373,plain,
% 51.23/33.72 (~v154(constB6)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27372, 13716, 27369])).
% 51.23/33.72 tff(27374,plain,
% 51.23/33.72 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB6) | v154(constB6) | (~v150(constB6)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB6) | v154(constB6) | (~v150(constB6)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27375,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB6) | v154(constB6) | (~v150(constB6)))),
% 51.23/33.72 inference(quant_inst,[status(thm)],[])).
% 51.23/33.72 tff(27376,plain,
% 51.23/33.72 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB6) | v154(constB6) | (~v150(constB6))),
% 51.23/33.72 inference(modus_ponens,[status(thm)],[27375, 27374])).
% 51.23/33.72 tff(27377,plain,
% 51.23/33.72 (v153(constB6) | (~v150(constB6))),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27376, 13654, 27373])).
% 51.23/33.72 tff(27378,plain,
% 51.23/33.72 (~v150(constB6)),
% 51.23/33.72 inference(unit_resolution,[status(thm)],[27377, 27365])).
% 51.23/33.72 tff(27379,plain,
% 51.23/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB6, constB7)) | v150(constB6) | (~v152(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB6, constB7)) | v150(constB6) | (~v152(constB7)))),
% 51.23/33.72 inference(rewrite,[status(thm)],[])).
% 51.23/33.72 tff(27380,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB6, constB7)) | v150(constB6) | (~v152(constB7)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27381,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB6, constB7)) | v150(constB6) | (~v152(constB7))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27380, 27379])).
% 51.23/33.73 tff(27382,plain,
% 51.23/33.73 (v150(constB6) | (~v152(constB7))),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27381, 13669, 1139])).
% 51.23/33.73 tff(27383,plain,
% 51.23/33.73 (~v152(constB7)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27382, 27378])).
% 51.23/33.73 tff(27384,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB7) | (~v164(constB7)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB7) | (~v164(constB7)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27385,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB7) | (~v164(constB7)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27386,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB7) | (~v164(constB7))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27385, 27384])).
% 51.23/33.73 tff(27387,plain,
% 51.23/33.73 (~v164(constB7)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27386, 13740, 27383])).
% 51.23/33.73 tff(27388,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB5) | (~v164(constB5)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB5) | (~v164(constB5)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27389,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB5) | (~v164(constB5)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27390,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB5) | (~v164(constB5))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27389, 27388])).
% 51.23/33.73 tff(27391,plain,
% 51.23/33.73 (~v164(constB5)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27390, 13740, 27347])).
% 51.23/33.73 tff(27392,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB5) | (~v163(constB5)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB5) | (~v163(constB5)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27393,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB5) | (~v163(constB5)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27394,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB5) | (~v163(constB5))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27393, 27392])).
% 51.23/33.73 tff(27395,plain,
% 51.23/33.73 (~v163(constB5)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27394, 13784, 26444])).
% 51.23/33.73 tff(27396,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB5) | v164(constB5) | (~v160(constB5)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB5) | v164(constB5) | (~v160(constB5)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27397,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB5) | v164(constB5) | (~v160(constB5)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27398,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB5) | v164(constB5) | (~v160(constB5))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27397, 27396])).
% 51.23/33.73 tff(27399,plain,
% 51.23/33.73 (~v160(constB5)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27398, 13754, 27395, 27391])).
% 51.23/33.73 tff(27400,plain,
% 51.23/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27401,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27402,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27401, 27400])).
% 51.23/33.73 tff(27403,plain,
% 51.23/33.73 (v160(constB5) | (~v162(constB6))),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27402, 13769, 995])).
% 51.23/33.73 tff(27404,plain,
% 51.23/33.73 (~v162(constB6)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27403, 27399])).
% 51.23/33.73 tff(27405,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB6) | (~v163(constB6)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB6) | (~v163(constB6)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27406,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB6) | (~v163(constB6)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27407,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB6) | (~v163(constB6))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27406, 27405])).
% 51.23/33.73 tff(27408,plain,
% 51.23/33.73 (~v163(constB6)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27407, 13784, 27404])).
% 51.23/33.73 tff(27409,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB6) | (~v164(constB6)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB6) | (~v164(constB6)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27410,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB6) | (~v164(constB6)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27411,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB6) | (~v164(constB6))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27410, 27409])).
% 51.23/33.73 tff(27412,plain,
% 51.23/33.73 (~v164(constB6)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27411, 13806, 27369])).
% 51.23/33.73 tff(27413,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB6) | v164(constB6) | (~v160(constB6)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB6) | v164(constB6) | (~v160(constB6)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27414,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB6) | v164(constB6) | (~v160(constB6)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27415,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB6) | v164(constB6) | (~v160(constB6))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27414, 27413])).
% 51.23/33.73 tff(27416,plain,
% 51.23/33.73 (v163(constB6) | (~v160(constB6))),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27415, 13754, 27412])).
% 51.23/33.73 tff(27417,plain,
% 51.23/33.73 (~v160(constB6)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27416, 27408])).
% 51.23/33.73 tff(27418,plain,
% 51.23/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27419,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27420,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27419, 27418])).
% 51.23/33.73 tff(27421,plain,
% 51.23/33.73 (v160(constB6) | (~v162(constB7))),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27420, 13769, 1139])).
% 51.23/33.73 tff(27422,plain,
% 51.23/33.73 (~v162(constB7)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27421, 27417])).
% 51.23/33.73 tff(27423,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB7) | (~v163(constB7)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB7) | (~v163(constB7)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27424,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB7) | (~v163(constB7)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27425,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB7) | (~v163(constB7))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27424, 27423])).
% 51.23/33.73 tff(27426,plain,
% 51.23/33.73 (~v163(constB7)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27425, 13784, 27422])).
% 51.23/33.73 tff(27427,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB7) | v164(constB7) | (~v160(constB7)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB7) | v164(constB7) | (~v160(constB7)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27428,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB7) | v164(constB7) | (~v160(constB7)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27429,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB7) | v164(constB7) | (~v160(constB7))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27428, 27427])).
% 51.23/33.73 tff(27430,plain,
% 51.23/33.73 (v164(constB7) | (~v160(constB7))),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27429, 13754, 27426])).
% 51.23/33.73 tff(27431,plain,
% 51.23/33.73 (~v160(constB7)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27430, 27387])).
% 51.23/33.73 tff(27432,plain,
% 51.23/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB7, constB8)) | v160(constB7) | (~v162(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB7, constB8)) | v160(constB7) | (~v162(constB8)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27433,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB7, constB8)) | v160(constB7) | (~v162(constB8)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27434,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB7, constB8)) | v160(constB7) | (~v162(constB8))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27433, 27432])).
% 51.23/33.73 tff(27435,plain,
% 51.23/33.73 (v160(constB7) | (~v162(constB8))),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27434, 13769, 1330])).
% 51.23/33.73 tff(27436,plain,
% 51.23/33.73 (~v162(constB8)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27435, 27431])).
% 51.23/33.73 tff(27437,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB8) | (~v163(constB8)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB8) | (~v163(constB8)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27438,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB8) | (~v163(constB8)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27439,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB8) | (~v163(constB8))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27438, 27437])).
% 51.23/33.73 tff(27440,plain,
% 51.23/33.73 (~v163(constB8)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27439, 13784, 27436])).
% 51.23/33.73 tff(27441,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB8) | (~v164(constB8)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB8) | (~v164(constB8)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27442,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB8) | (~v164(constB8)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27443,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB8) | (~v164(constB8))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27442, 27441])).
% 51.23/33.73 tff(27444,plain,
% 51.23/33.73 (~v164(constB8)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27443, 13806, 27194])).
% 51.23/33.73 tff(27445,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB8) | v164(constB8) | (~v160(constB8)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB8) | v164(constB8) | (~v160(constB8)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27446,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB8) | v164(constB8) | (~v160(constB8)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27447,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB8) | v164(constB8) | (~v160(constB8))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27446, 27445])).
% 51.23/33.73 tff(27448,plain,
% 51.23/33.73 (v163(constB8) | (~v160(constB8))),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27447, 13754, 27444])).
% 51.23/33.73 tff(27449,plain,
% 51.23/33.73 (~v160(constB8)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27448, 27440])).
% 51.23/33.73 tff(27450,plain,
% 51.23/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB8, constB9)) | v160(constB8) | (~v162(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB8, constB9)) | v160(constB8) | (~v162(constB9)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27451,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB8, constB9)) | v160(constB8) | (~v162(constB9)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27452,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB8, constB9)) | v160(constB8) | (~v162(constB9))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27451, 27450])).
% 51.23/33.73 tff(27453,plain,
% 51.23/33.73 (v160(constB8) | (~v162(constB9))),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27452, 13769, 1484])).
% 51.23/33.73 tff(27454,plain,
% 51.23/33.73 (~v162(constB9)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27453, 27449])).
% 51.23/33.73 tff(27455,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB9) | (~v163(constB9)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB9) | (~v163(constB9)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27456,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB9) | (~v163(constB9)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27457,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB9) | (~v163(constB9))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27456, 27455])).
% 51.23/33.73 tff(27458,plain,
% 51.23/33.73 (~v163(constB9)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27457, 13784, 27454])).
% 51.23/33.73 tff(27459,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB9) | v164(constB9) | (~v160(constB9)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB9) | v164(constB9) | (~v160(constB9)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27460,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB9) | v164(constB9) | (~v160(constB9)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27461,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB9) | v164(constB9) | (~v160(constB9))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27460, 27459])).
% 51.23/33.73 tff(27462,plain,
% 51.23/33.73 (v164(constB9) | (~v160(constB9))),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27461, 13754, 27458])).
% 51.23/33.73 tff(27463,plain,
% 51.23/33.73 (~v160(constB9)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27462, 27212])).
% 51.23/33.73 tff(27464,plain,
% 51.23/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27465,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27466,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27465, 27464])).
% 51.23/33.73 tff(27467,plain,
% 51.23/33.73 (v160(constB9) | (~v162(constB10))),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27466, 13769, 1649])).
% 51.23/33.73 tff(27468,plain,
% 51.23/33.73 (~v162(constB10)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27467, 27463])).
% 51.23/33.73 tff(27469,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB10) | (~v163(constB10)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB10) | (~v163(constB10)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27470,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB10) | (~v163(constB10)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27471,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB10) | (~v163(constB10))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27470, 27469])).
% 51.23/33.73 tff(27472,plain,
% 51.23/33.73 (~v163(constB10)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27471, 13784, 27468])).
% 51.23/33.73 tff(27473,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB10)) | (~v141(constB10)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB10)) | (~v141(constB10)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27474,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB10)) | (~v141(constB10)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27475,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB10)) | (~v141(constB10))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27474, 27473])).
% 51.23/33.73 tff(27476,plain,
% 51.23/33.73 (~v141(constB10)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27475, 13553, 1669])).
% 51.23/33.73 tff(27477,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB10) | (~v155(constB10)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB10) | (~v155(constB10)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27478,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB10) | (~v155(constB10)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27479,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB10) | (~v155(constB10))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27478, 27477])).
% 51.23/33.73 tff(27480,plain,
% 51.23/33.73 (~v155(constB10)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27479, 13702, 27476])).
% 51.23/33.73 tff(27481,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB10) | (~v164(constB10)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB10) | (~v164(constB10)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27482,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB10) | (~v164(constB10)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27483,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB10) | (~v164(constB10))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27482, 27481])).
% 51.23/33.73 tff(27484,plain,
% 51.23/33.73 (~v164(constB10)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27483, 13806, 27480])).
% 51.23/33.73 tff(27485,plain,
% 51.23/33.73 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB10) | v164(constB10) | (~v160(constB10)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB10) | v164(constB10) | (~v160(constB10)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27486,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB10) | v164(constB10) | (~v160(constB10)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27487,plain,
% 51.23/33.73 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB10) | v164(constB10) | (~v160(constB10))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27486, 27485])).
% 51.23/33.73 tff(27488,plain,
% 51.23/33.73 (v163(constB10) | (~v160(constB10))),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27487, 13754, 27484])).
% 51.23/33.73 tff(27489,plain,
% 51.23/33.73 (~v160(constB10)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27488, 27472])).
% 51.23/33.73 tff(27490,plain,
% 51.23/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11)))),
% 51.23/33.73 inference(rewrite,[status(thm)],[])).
% 51.23/33.73 tff(27491,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11)))),
% 51.23/33.73 inference(quant_inst,[status(thm)],[])).
% 51.23/33.73 tff(27492,plain,
% 51.23/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11))),
% 51.23/33.73 inference(modus_ponens,[status(thm)],[27491, 27490])).
% 51.23/33.73 tff(27493,plain,
% 51.23/33.73 (v160(constB10) | (~v162(constB11))),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27492, 13769, 1718])).
% 51.23/33.73 tff(27494,plain,
% 51.23/33.73 (~v162(constB11)),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27493, 27489])).
% 51.23/33.73 tff(27495,plain,
% 51.23/33.73 ($false),
% 51.23/33.73 inference(unit_resolution,[status(thm)],[27494, 27054])).
% 51.23/33.73 tff(27496,plain,(~(constB11 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.73 tff(27497,assumption,(constB186 = sK0_VarCurr), introduced(assumption)).
% 51.23/33.73 tff(27498,plain,
% 51.23/33.73 (v1(constB186) <=> v1(sK0_VarCurr)),
% 51.23/33.74 inference(monotonicity,[status(thm)],[27497])).
% 51.23/33.74 tff(27499,plain,
% 51.23/33.74 (v1(sK0_VarCurr) <=> v1(constB186)),
% 51.23/33.74 inference(symmetry,[status(thm)],[27498])).
% 51.23/33.74 tff(27500,plain,
% 51.23/33.74 ((~v1(sK0_VarCurr)) <=> (~v1(constB186))),
% 51.23/33.74 inference(monotonicity,[status(thm)],[27499])).
% 51.23/33.74 tff(27501,plain,
% 51.23/33.74 (~v1(constB186)),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[25725, 27500])).
% 51.23/33.74 tff(27502,plain,
% 51.23/33.74 ($false),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[23583, 27501])).
% 51.23/33.74 tff(27503,plain,(~(constB186 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.74 tff(27504,assumption,(constB30 = sK0_VarCurr), introduced(assumption)).
% 51.23/33.74 tff(27505,plain,
% 51.23/33.74 (v1(constB30) <=> v1(sK0_VarCurr)),
% 51.23/33.74 inference(monotonicity,[status(thm)],[27504])).
% 51.23/33.74 tff(27506,plain,
% 51.23/33.74 (v1(sK0_VarCurr) <=> v1(constB30)),
% 51.23/33.74 inference(symmetry,[status(thm)],[27505])).
% 51.23/33.74 tff(27507,plain,
% 51.23/33.74 ((~v1(sK0_VarCurr)) <=> (~v1(constB30))),
% 51.23/33.74 inference(monotonicity,[status(thm)],[27506])).
% 51.23/33.74 tff(27508,plain,
% 51.23/33.74 (~v1(constB30)),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[25725, 27507])).
% 51.23/33.74 tff(27509,plain,
% 51.23/33.74 ($false),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[5144, 27508])).
% 51.23/33.74 tff(27510,plain,(~(constB30 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.74 tff(27511,assumption,(constB132 = sK0_VarCurr), introduced(assumption)).
% 51.23/33.74 tff(27512,plain,
% 51.23/33.74 (v1(constB132) <=> v1(sK0_VarCurr)),
% 51.23/33.74 inference(monotonicity,[status(thm)],[27511])).
% 51.23/33.74 tff(27513,plain,
% 51.23/33.74 (v1(sK0_VarCurr) <=> v1(constB132)),
% 51.23/33.74 inference(symmetry,[status(thm)],[27512])).
% 51.23/33.74 tff(27514,plain,
% 51.23/33.74 ((~v1(sK0_VarCurr)) <=> (~v1(constB132))),
% 51.23/33.74 inference(monotonicity,[status(thm)],[27513])).
% 51.23/33.74 tff(27515,plain,
% 51.23/33.74 (~v1(constB132)),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[25725, 27514])).
% 51.23/33.74 tff(27516,plain,
% 51.23/33.74 ($false),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[16776, 27515])).
% 51.23/33.74 tff(27517,plain,(~(constB132 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.74 tff(27518,assumption,(constB156 = sK0_VarCurr), introduced(assumption)).
% 51.23/33.74 tff(27519,plain,
% 51.23/33.74 (v1(constB156) <=> v1(sK0_VarCurr)),
% 51.23/33.74 inference(monotonicity,[status(thm)],[27518])).
% 51.23/33.74 tff(27520,plain,
% 51.23/33.74 (v1(sK0_VarCurr) <=> v1(constB156)),
% 51.23/33.74 inference(symmetry,[status(thm)],[27519])).
% 51.23/33.74 tff(27521,plain,
% 51.23/33.74 ((~v1(sK0_VarCurr)) <=> (~v1(constB156))),
% 51.23/33.74 inference(monotonicity,[status(thm)],[27520])).
% 51.23/33.74 tff(27522,plain,
% 51.23/33.74 (~v1(constB156)),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[25725, 27521])).
% 51.23/33.74 tff(27523,plain,
% 51.23/33.74 ($false),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[19827, 27522])).
% 51.23/33.74 tff(27524,plain,(~(constB156 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.74 tff(27525,assumption,(constB54 = sK0_VarCurr), introduced(assumption)).
% 51.23/33.74 tff(27526,plain,
% 51.23/33.74 (v1(constB54) <=> v1(sK0_VarCurr)),
% 51.23/33.74 inference(monotonicity,[status(thm)],[27525])).
% 51.23/33.74 tff(27527,plain,
% 51.23/33.74 (v1(sK0_VarCurr) <=> v1(constB54)),
% 51.23/33.74 inference(symmetry,[status(thm)],[27526])).
% 51.23/33.74 tff(27528,plain,
% 51.23/33.74 ((~v1(sK0_VarCurr)) <=> (~v1(constB54))),
% 51.23/33.74 inference(monotonicity,[status(thm)],[27527])).
% 51.23/33.74 tff(27529,plain,
% 51.23/33.74 (~v1(constB54)),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[25725, 27528])).
% 51.23/33.74 tff(27530,plain,
% 51.23/33.74 ($false),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[7550, 27529])).
% 51.23/33.74 tff(27531,plain,(~(constB54 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.74 tff(27532,assumption,(constB137 = sK0_VarCurr), introduced(assumption)).
% 51.23/33.74 tff(27533,plain,
% 51.23/33.74 (v162(constB137) <=> v162(sK0_VarCurr)),
% 51.23/33.74 inference(monotonicity,[status(thm)],[27532])).
% 51.23/33.74 tff(27534,plain,
% 51.23/33.74 (v162(sK0_VarCurr) <=> v162(constB137)),
% 51.23/33.74 inference(symmetry,[status(thm)],[27533])).
% 51.23/33.74 tff(27535,plain,
% 51.23/33.74 (v162(constB137)),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[13315, 27534])).
% 51.23/33.74 tff(27536,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB131)) | (~v84(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB131)) | (~v84(constB131, bitIndex1)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27537,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB131)) | (~v84(constB131, bitIndex1)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27538,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB131)) | (~v84(constB131, bitIndex1))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27537, 27536])).
% 51.23/33.74 tff(27539,plain,
% 51.23/33.74 (~v145(constB131)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27538, 1091, 16659])).
% 51.23/33.74 tff(27540,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB131) | (~v144(constB131)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB131) | (~v144(constB131)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27541,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB131) | (~v144(constB131)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27542,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB131) | (~v144(constB131))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27541, 27540])).
% 51.23/33.74 tff(27543,plain,
% 51.23/33.74 (~v144(constB131)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27542, 13439, 27539])).
% 51.23/33.74 tff(27544,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB131) | (~v142(constB131)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB131) | (~v142(constB131)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27545,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB131) | (~v142(constB131)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27546,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB131) | (~v142(constB131))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27545, 27544])).
% 51.23/33.74 tff(27547,plain,
% 51.23/33.74 (~v142(constB131)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27546, 13453, 27543])).
% 51.23/33.74 tff(27548,assumption,(v18(constB132)), introduced(assumption)).
% 51.23/33.74 tff(27549,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB132))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27550,plain,
% 51.23/33.74 ($false),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27549, 13324, 27548])).
% 51.23/33.74 tff(27551,plain,(~v18(constB132)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.74 tff(27552,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB132) | (~v1(constB132)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB132) | (~v1(constB132)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27553,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB132) | (~v1(constB132)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27554,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB132) | (~v1(constB132))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27553, 27552])).
% 51.23/33.74 tff(27555,plain,
% 51.23/33.74 (v22(constB132)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27554, 13337, 16776])).
% 51.23/33.74 tff(27556,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB132) | (~v22(constB132)) | (~v19(constB132)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB132) | (~v22(constB132)) | (~v19(constB132)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27557,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB132) | (~v22(constB132)) | (~v19(constB132)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27558,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB132) | (~v22(constB132)) | (~v19(constB132))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27557, 27556])).
% 51.23/33.74 tff(27559,plain,
% 51.23/33.74 (v18(constB132) | (~v19(constB132))),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27558, 13351, 27555])).
% 51.23/33.74 tff(27560,plain,
% 51.23/33.74 (~v19(constB132)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27559, 27551])).
% 51.23/33.74 tff(27561,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB132) | v19(constB132))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB132) | v19(constB132))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27562,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB132) | v19(constB132))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27563,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB132) | v19(constB132)),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27562, 27561])).
% 51.23/33.74 tff(27564,plain,
% 51.23/33.74 (v13(constB132)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27563, 13363, 27560])).
% 51.23/33.74 tff(27565,plain,
% 51.23/33.74 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB131) | (~v13(constB132)) | (~nextState(constB131, constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB131) | (~v13(constB132)) | (~nextState(constB131, constB132)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27566,plain,
% 51.23/33.74 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB131) | (~v13(constB132)) | (~nextState(constB131, constB132)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27567,plain,
% 51.23/33.74 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB131) | (~v13(constB132)) | (~nextState(constB131, constB132))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27566, 27565])).
% 51.23/33.74 tff(27568,plain,
% 51.23/33.74 (v9(constB131) | (~v13(constB132))),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27567, 13377, 16706])).
% 51.23/33.74 tff(27569,plain,
% 51.23/33.74 (v9(constB131)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27568, 27564])).
% 51.23/33.74 tff(27570,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB131) | (~v9(constB131)) | v141(constB131))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB131) | (~v9(constB131)) | v141(constB131))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27571,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB131) | (~v9(constB131)) | v141(constB131))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27572,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB131) | (~v9(constB131)) | v141(constB131)),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27571, 27570])).
% 51.23/33.74 tff(27573,plain,
% 51.23/33.74 ((~v9(constB131)) | v141(constB131)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27572, 13392, 16604])).
% 51.23/33.74 tff(27574,plain,
% 51.23/33.74 (v141(constB131)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27573, 27569])).
% 51.23/33.74 tff(27575,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB131)) | v140(constB131))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB131)) | v140(constB131))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27576,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB131)) | v140(constB131))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27577,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB131)) | v140(constB131)),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27576, 27575])).
% 51.23/33.74 tff(27578,plain,
% 51.23/33.74 (v140(constB131)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27577, 13404, 27574])).
% 51.23/33.74 tff(27579,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB131)) | (~v140(constB131)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB131)) | (~v140(constB131)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27580,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB131)) | (~v140(constB131)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27581,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB131)) | (~v140(constB131))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27580, 27579])).
% 51.23/33.74 tff(27582,plain,
% 51.23/33.74 (~v138(constB131)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27581, 13495, 27578])).
% 51.23/33.74 tff(27583,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB131) | v142(constB131) | (~v135(constB131)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB131) | v142(constB131) | (~v135(constB131)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27584,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB131) | v142(constB131) | (~v135(constB131)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27585,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB131) | v142(constB131) | (~v135(constB131))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27584, 27583])).
% 51.23/33.74 tff(27586,plain,
% 51.23/33.74 (v142(constB131) | (~v135(constB131))),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27585, 13509, 27582])).
% 51.23/33.74 tff(27587,plain,
% 51.23/33.74 (~v135(constB131)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27586, 27547])).
% 51.23/33.74 tff(27588,plain,
% 51.23/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27589,plain,
% 51.23/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27590,plain,
% 51.23/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27589, 27588])).
% 51.23/33.74 tff(27591,plain,
% 51.23/33.74 (v135(constB131) | (~v137(constB132))),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27590, 13524, 16706])).
% 51.23/33.74 tff(27592,plain,
% 51.23/33.74 (~v137(constB132)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27591, 27587])).
% 51.23/33.74 tff(27593,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB132) | (~v138(constB132)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB132) | (~v138(constB132)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27594,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB132) | (~v138(constB132)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27595,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB132) | (~v138(constB132))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27594, 27593])).
% 51.23/33.74 tff(27596,plain,
% 51.23/33.74 (~v138(constB132)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27595, 13539, 27592])).
% 51.23/33.74 tff(27597,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB132)) | (~v141(constB132)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB132)) | (~v141(constB132)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27598,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB132)) | (~v141(constB132)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27599,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB132)) | (~v141(constB132))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27598, 27597])).
% 51.23/33.74 tff(27600,plain,
% 51.23/33.74 (~v141(constB132)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27599, 13553, 16776])).
% 51.23/33.74 tff(27601,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB132) | (~v144(constB132)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB132) | (~v144(constB132)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27602,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB132) | (~v144(constB132)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27603,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB132) | (~v144(constB132))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27602, 27601])).
% 51.23/33.74 tff(27604,plain,
% 51.23/33.74 (~v144(constB132)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27603, 13567, 27600])).
% 51.23/33.74 tff(27605,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB132) | (~v142(constB132)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB132) | (~v142(constB132)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27606,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB132) | (~v142(constB132)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27607,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB132) | (~v142(constB132))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27606, 27605])).
% 51.23/33.74 tff(27608,plain,
% 51.23/33.74 (~v142(constB132)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27607, 13453, 27604])).
% 51.23/33.74 tff(27609,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB132) | v142(constB132) | (~v135(constB132)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB132) | v142(constB132) | (~v135(constB132)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27610,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB132) | v142(constB132) | (~v135(constB132)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27611,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB132) | v142(constB132) | (~v135(constB132))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27610, 27609])).
% 51.23/33.74 tff(27612,plain,
% 51.23/33.74 (v138(constB132) | (~v135(constB132))),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27611, 13509, 27608])).
% 51.23/33.74 tff(27613,plain,
% 51.23/33.74 (~v135(constB132)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27612, 27596])).
% 51.23/33.74 tff(27614,plain,
% 51.23/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27615,plain,
% 51.23/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27616,plain,
% 51.23/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133))),
% 51.23/33.74 inference(modus_ponens,[status(thm)],[27615, 27614])).
% 51.23/33.74 tff(27617,plain,
% 51.23/33.74 (v135(constB132) | (~v137(constB133))),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27616, 13524, 16804])).
% 51.23/33.74 tff(27618,plain,
% 51.23/33.74 (~v137(constB133)),
% 51.23/33.74 inference(unit_resolution,[status(thm)],[27617, 27613])).
% 51.23/33.74 tff(27619,plain,
% 51.23/33.74 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB133) | (~v154(constB133)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB133) | (~v154(constB133)))),
% 51.23/33.74 inference(rewrite,[status(thm)],[])).
% 51.23/33.74 tff(27620,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB133) | (~v154(constB133)))),
% 51.23/33.74 inference(quant_inst,[status(thm)],[])).
% 51.23/33.74 tff(27621,plain,
% 51.23/33.74 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB133) | (~v154(constB133))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27620, 27619])).
% 51.23/33.75 tff(27622,plain,
% 51.23/33.75 (~v154(constB133)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27621, 13595, 27618])).
% 51.23/33.75 tff(27623,assumption,(v18(constB134)), introduced(assumption)).
% 51.23/33.75 tff(27624,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB134))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27625,plain,
% 51.23/33.75 ($false),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27624, 13324, 27623])).
% 51.23/33.75 tff(27626,plain,(~v18(constB134)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.75 tff(27627,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27628,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27629,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27628, 27627])).
% 51.23/33.75 tff(27630,plain,
% 51.23/33.75 (v22(constB134)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27629, 13337, 16951])).
% 51.23/33.75 tff(27631,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB134) | (~v22(constB134)) | (~v19(constB134)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB134) | (~v22(constB134)) | (~v19(constB134)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27632,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB134) | (~v22(constB134)) | (~v19(constB134)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27633,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB134) | (~v22(constB134)) | (~v19(constB134))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27632, 27631])).
% 51.23/33.75 tff(27634,plain,
% 51.23/33.75 (v18(constB134) | (~v19(constB134))),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27633, 13351, 27630])).
% 51.23/33.75 tff(27635,plain,
% 51.23/33.75 (~v19(constB134)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27634, 27626])).
% 51.23/33.75 tff(27636,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27637,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27638,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134)),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27637, 27636])).
% 51.23/33.75 tff(27639,plain,
% 51.23/33.75 (v13(constB134)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27638, 13363, 27635])).
% 51.23/33.75 tff(27640,plain,
% 51.23/33.75 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27641,plain,
% 51.23/33.75 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27642,plain,
% 51.23/33.75 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27641, 27640])).
% 51.23/33.75 tff(27643,plain,
% 51.23/33.75 (v9(constB133) | (~v13(constB134))),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27642, 13377, 16931])).
% 51.23/33.75 tff(27644,plain,
% 51.23/33.75 (v9(constB133)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27643, 27639])).
% 51.23/33.75 tff(27645,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v141(constB133))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB133) | (~v9(constB133)) | v141(constB133))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27646,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v141(constB133))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27647,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB133) | (~v9(constB133)) | v141(constB133)),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27646, 27645])).
% 51.23/33.75 tff(27648,plain,
% 51.23/33.75 ((~v9(constB133)) | v141(constB133)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27647, 13392, 16801])).
% 51.23/33.75 tff(27649,plain,
% 51.23/33.75 (v141(constB133)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27648, 27644])).
% 51.23/33.75 tff(27650,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB133) | (~v141(constB133)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB133) | (~v141(constB133)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27651,plain,
% 51.23/33.75 (((~v141(constB133)) | v140(constB133)) <=> (v140(constB133) | (~v141(constB133)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27652,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB133)) | v140(constB133))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB133) | (~v141(constB133))))),
% 51.23/33.75 inference(monotonicity,[status(thm)],[27651])).
% 51.23/33.75 tff(27653,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB133)) | v140(constB133))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB133) | (~v141(constB133)))),
% 51.23/33.75 inference(transitivity,[status(thm)],[27652, 27650])).
% 51.23/33.75 tff(27654,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB133)) | v140(constB133))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27655,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB133) | (~v141(constB133))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27654, 27653])).
% 51.23/33.75 tff(27656,plain,
% 51.23/33.75 (v140(constB133)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27655, 13404, 27649])).
% 51.23/33.75 tff(27657,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB133)) | (~v153(constB133)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB133)) | (~v153(constB133)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27658,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB133)) | (~v153(constB133)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27659,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB133)) | (~v153(constB133))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27658, 27657])).
% 51.23/33.75 tff(27660,plain,
% 51.23/33.75 (~v153(constB133)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27659, 13640, 27656])).
% 51.23/33.75 tff(27661,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB133) | v154(constB133) | (~v150(constB133)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB133) | v154(constB133) | (~v150(constB133)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27662,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB133) | v154(constB133) | (~v150(constB133)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27663,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB133) | v154(constB133) | (~v150(constB133))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27662, 27661])).
% 51.23/33.75 tff(27664,plain,
% 51.23/33.75 (v154(constB133) | (~v150(constB133))),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27663, 13654, 27660])).
% 51.23/33.75 tff(27665,plain,
% 51.23/33.75 (~v150(constB133)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27664, 27622])).
% 51.23/33.75 tff(27666,plain,
% 51.23/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27667,plain,
% 51.23/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27668,plain,
% 51.23/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27667, 27666])).
% 51.23/33.75 tff(27669,plain,
% 51.23/33.75 (v150(constB133) | (~v152(constB134))),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27668, 13669, 16931])).
% 51.23/33.75 tff(27670,plain,
% 51.23/33.75 (~v152(constB134)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27669, 27665])).
% 51.23/33.75 tff(27671,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB134) | (~v153(constB134)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB134) | (~v153(constB134)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27672,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB134) | (~v153(constB134)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27673,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB134) | (~v153(constB134))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27672, 27671])).
% 51.23/33.75 tff(27674,plain,
% 51.23/33.75 (~v153(constB134)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27673, 13684, 27670])).
% 51.23/33.75 tff(27675,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB134)) | (~v141(constB134)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB134)) | (~v141(constB134)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27676,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB134)) | (~v141(constB134)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27677,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB134)) | (~v141(constB134))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27676, 27675])).
% 51.23/33.75 tff(27678,plain,
% 51.23/33.75 (~v141(constB134)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27677, 13553, 16951])).
% 51.23/33.75 tff(27679,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB134) | (~v155(constB134)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB134) | (~v155(constB134)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27680,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB134) | (~v155(constB134)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27681,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB134) | (~v155(constB134))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27680, 27679])).
% 51.23/33.75 tff(27682,plain,
% 51.23/33.75 (~v155(constB134)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27681, 13702, 27678])).
% 51.23/33.75 tff(27683,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB134) | (~v154(constB134)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB134) | (~v154(constB134)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27684,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB134) | (~v154(constB134)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27685,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB134) | (~v154(constB134))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27684, 27683])).
% 51.23/33.75 tff(27686,plain,
% 51.23/33.75 (~v154(constB134)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27685, 13716, 27682])).
% 51.23/33.75 tff(27687,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB134) | v154(constB134) | (~v150(constB134)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB134) | v154(constB134) | (~v150(constB134)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27688,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB134) | v154(constB134) | (~v150(constB134)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27689,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB134) | v154(constB134) | (~v150(constB134))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27688, 27687])).
% 51.23/33.75 tff(27690,plain,
% 51.23/33.75 (v153(constB134) | (~v150(constB134))),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27689, 13654, 27686])).
% 51.23/33.75 tff(27691,plain,
% 51.23/33.75 (~v150(constB134)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27690, 27674])).
% 51.23/33.75 tff(27692,plain,
% 51.23/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27693,plain,
% 51.23/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27694,plain,
% 51.23/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27693, 27692])).
% 51.23/33.75 tff(27695,plain,
% 51.23/33.75 (v150(constB134) | (~v152(constB135))),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27694, 13669, 16993])).
% 51.23/33.75 tff(27696,plain,
% 51.23/33.75 (~v152(constB135)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27695, 27691])).
% 51.23/33.75 tff(27697,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB135) | (~v164(constB135)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB135) | (~v164(constB135)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27698,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB135) | (~v164(constB135)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27699,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB135) | (~v164(constB135))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27698, 27697])).
% 51.23/33.75 tff(27700,plain,
% 51.23/33.75 (~v164(constB135)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27699, 13740, 27696])).
% 51.23/33.75 tff(27701,assumption,(v18(constB136)), introduced(assumption)).
% 51.23/33.75 tff(27702,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB136))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27703,plain,
% 51.23/33.75 ($false),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27702, 13324, 27701])).
% 51.23/33.75 tff(27704,plain,(~v18(constB136)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.75 tff(27705,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB136) | (~v1(constB136)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB136) | (~v1(constB136)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27706,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB136) | (~v1(constB136)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27707,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB136) | (~v1(constB136))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27706, 27705])).
% 51.23/33.75 tff(27708,plain,
% 51.23/33.75 (v22(constB136)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27707, 13337, 17132])).
% 51.23/33.75 tff(27709,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB136) | (~v22(constB136)) | (~v19(constB136)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB136) | (~v22(constB136)) | (~v19(constB136)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27710,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB136) | (~v22(constB136)) | (~v19(constB136)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27711,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB136) | (~v22(constB136)) | (~v19(constB136))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27710, 27709])).
% 51.23/33.75 tff(27712,plain,
% 51.23/33.75 (v18(constB136) | (~v19(constB136))),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27711, 13351, 27708])).
% 51.23/33.75 tff(27713,plain,
% 51.23/33.75 (~v19(constB136)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27712, 27704])).
% 51.23/33.75 tff(27714,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB136) | v19(constB136))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB136) | v19(constB136))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27715,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB136) | v19(constB136))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27716,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB136) | v19(constB136)),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27715, 27714])).
% 51.23/33.75 tff(27717,plain,
% 51.23/33.75 (v13(constB136)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27716, 13363, 27713])).
% 51.23/33.75 tff(27718,plain,
% 51.23/33.75 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB135) | (~v13(constB136)) | (~nextState(constB135, constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB135) | (~v13(constB136)) | (~nextState(constB135, constB136)))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27719,plain,
% 51.23/33.75 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB135) | (~v13(constB136)) | (~nextState(constB135, constB136)))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27720,plain,
% 51.23/33.75 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB135) | (~v13(constB136)) | (~nextState(constB135, constB136))),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27719, 27718])).
% 51.23/33.75 tff(27721,plain,
% 51.23/33.75 (v9(constB135) | (~v13(constB136))),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27720, 13377, 17112])).
% 51.23/33.75 tff(27722,plain,
% 51.23/33.75 (v9(constB135)),
% 51.23/33.75 inference(unit_resolution,[status(thm)],[27721, 27717])).
% 51.23/33.75 tff(27723,plain,
% 51.23/33.75 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB135) | (~v9(constB135)) | v141(constB135))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB135) | (~v9(constB135)) | v141(constB135))),
% 51.23/33.75 inference(rewrite,[status(thm)],[])).
% 51.23/33.75 tff(27724,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB135) | (~v9(constB135)) | v141(constB135))),
% 51.23/33.75 inference(quant_inst,[status(thm)],[])).
% 51.23/33.75 tff(27725,plain,
% 51.23/33.75 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB135) | (~v9(constB135)) | v141(constB135)),
% 51.23/33.75 inference(modus_ponens,[status(thm)],[27724, 27723])).
% 51.23/33.75 tff(27726,plain,
% 51.23/33.76 ((~v9(constB135)) | v141(constB135)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27725, 13392, 16990])).
% 51.23/33.76 tff(27727,plain,
% 51.23/33.76 (v141(constB135)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27726, 27722])).
% 51.23/33.76 tff(27728,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB135) | (~v141(constB135)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB135) | (~v141(constB135)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27729,plain,
% 51.23/33.76 (((~v141(constB135)) | v140(constB135)) <=> (v140(constB135) | (~v141(constB135)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27730,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB135)) | v140(constB135))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB135) | (~v141(constB135))))),
% 51.23/33.76 inference(monotonicity,[status(thm)],[27729])).
% 51.23/33.76 tff(27731,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB135)) | v140(constB135))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB135) | (~v141(constB135)))),
% 51.23/33.76 inference(transitivity,[status(thm)],[27730, 27728])).
% 51.23/33.76 tff(27732,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB135)) | v140(constB135))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27733,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB135) | (~v141(constB135))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27732, 27731])).
% 51.23/33.76 tff(27734,plain,
% 51.23/33.76 (v140(constB135)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27733, 13404, 27727])).
% 51.23/33.76 tff(27735,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB135)) | (~v163(constB135)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB135)) | (~v163(constB135)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27736,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB135)) | (~v163(constB135)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27737,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB135)) | (~v163(constB135))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27736, 27735])).
% 51.23/33.76 tff(27738,plain,
% 51.23/33.76 (~v163(constB135)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27737, 13421, 27734])).
% 51.23/33.76 tff(27739,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB135) | v164(constB135) | (~v160(constB135)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB135) | v164(constB135) | (~v160(constB135)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27740,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB135) | v164(constB135) | (~v160(constB135)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27741,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB135) | v164(constB135) | (~v160(constB135))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27740, 27739])).
% 51.23/33.76 tff(27742,plain,
% 51.23/33.76 (v164(constB135) | (~v160(constB135))),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27741, 13754, 27738])).
% 51.23/33.76 tff(27743,plain,
% 51.23/33.76 (~v160(constB135)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27742, 27700])).
% 51.23/33.76 tff(27744,plain,
% 51.23/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27745,plain,
% 51.23/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27746,plain,
% 51.23/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27745, 27744])).
% 51.23/33.76 tff(27747,plain,
% 51.23/33.76 (v160(constB135) | (~v162(constB136))),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27746, 13769, 17112])).
% 51.23/33.76 tff(27748,plain,
% 51.23/33.76 (~v162(constB136)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27747, 27743])).
% 51.23/33.76 tff(27749,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB136) | (~v163(constB136)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB136) | (~v163(constB136)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27750,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB136) | (~v163(constB136)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27751,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB136) | (~v163(constB136))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27750, 27749])).
% 51.23/33.76 tff(27752,plain,
% 51.23/33.76 (~v163(constB136)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27751, 13784, 27748])).
% 51.23/33.76 tff(27753,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB136)) | (~v141(constB136)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB136)) | (~v141(constB136)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27754,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB136)) | (~v141(constB136)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27755,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB136)) | (~v141(constB136))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27754, 27753])).
% 51.23/33.76 tff(27756,plain,
% 51.23/33.76 (~v141(constB136)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27755, 13553, 17132])).
% 51.23/33.76 tff(27757,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB136) | (~v155(constB136)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB136) | (~v155(constB136)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27758,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB136) | (~v155(constB136)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27759,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB136) | (~v155(constB136))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27758, 27757])).
% 51.23/33.76 tff(27760,plain,
% 51.23/33.76 (~v155(constB136)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27759, 13702, 27756])).
% 51.23/33.76 tff(27761,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB136) | (~v164(constB136)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB136) | (~v164(constB136)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27762,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB136) | (~v164(constB136)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27763,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB136) | (~v164(constB136))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27762, 27761])).
% 51.23/33.76 tff(27764,plain,
% 51.23/33.76 (~v164(constB136)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27763, 13806, 27760])).
% 51.23/33.76 tff(27765,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB136) | v164(constB136) | (~v160(constB136)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB136) | v164(constB136) | (~v160(constB136)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27766,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB136) | v164(constB136) | (~v160(constB136)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27767,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB136) | v164(constB136) | (~v160(constB136))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27766, 27765])).
% 51.23/33.76 tff(27768,plain,
% 51.23/33.76 (v163(constB136) | (~v160(constB136))),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27767, 13754, 27764])).
% 51.23/33.76 tff(27769,plain,
% 51.23/33.76 (~v160(constB136)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27768, 27752])).
% 51.23/33.76 tff(27770,plain,
% 51.23/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27771,plain,
% 51.23/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27772,plain,
% 51.23/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27771, 27770])).
% 51.23/33.76 tff(27773,plain,
% 51.23/33.76 (v160(constB136) | (~v162(constB137))),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27772, 13769, 17201])).
% 51.23/33.76 tff(27774,plain,
% 51.23/33.76 (~v162(constB137)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27773, 27769])).
% 51.23/33.76 tff(27775,plain,
% 51.23/33.76 ($false),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27774, 27535])).
% 51.23/33.76 tff(27776,plain,(~(constB137 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.76 tff(27777,assumption,(constB169 = sK0_VarCurr), introduced(assumption)).
% 51.23/33.76 tff(27778,plain,
% 51.23/33.76 (v162(constB169) <=> v162(sK0_VarCurr)),
% 51.23/33.76 inference(monotonicity,[status(thm)],[27777])).
% 51.23/33.76 tff(27779,plain,
% 51.23/33.76 (v162(sK0_VarCurr) <=> v162(constB169)),
% 51.23/33.76 inference(symmetry,[status(thm)],[27778])).
% 51.23/33.76 tff(27780,plain,
% 51.23/33.76 (v162(constB169)),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[13315, 27779])).
% 51.23/33.76 tff(27781,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB163)) | (~v84(constB163, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB163)) | (~v84(constB163, bitIndex2)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27782,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB163)) | (~v84(constB163, bitIndex2)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27783,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB163)) | (~v84(constB163, bitIndex2))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27782, 27781])).
% 51.23/33.76 tff(27784,plain,
% 51.23/33.76 (~v145(constB163)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27783, 4483, 20729])).
% 51.23/33.76 tff(27785,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB163) | (~v144(constB163)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB163) | (~v144(constB163)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27786,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB163) | (~v144(constB163)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27787,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB163) | (~v144(constB163))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27786, 27785])).
% 51.23/33.76 tff(27788,plain,
% 51.23/33.76 (~v144(constB163)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27787, 13439, 27784])).
% 51.23/33.76 tff(27789,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB163) | (~v142(constB163)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB163) | (~v142(constB163)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27790,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB163) | (~v142(constB163)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27791,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB163) | (~v142(constB163))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27790, 27789])).
% 51.23/33.76 tff(27792,plain,
% 51.23/33.76 (~v142(constB163)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27791, 13453, 27788])).
% 51.23/33.76 tff(27793,assumption,(v18(constB164)), introduced(assumption)).
% 51.23/33.76 tff(27794,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB164))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27795,plain,
% 51.23/33.76 ($false),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27794, 13324, 27793])).
% 51.23/33.76 tff(27796,plain,(~v18(constB164)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.76 tff(27797,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27798,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27799,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27798, 27797])).
% 51.23/33.76 tff(27800,plain,
% 51.23/33.76 (v22(constB164)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27799, 13337, 20869])).
% 51.23/33.76 tff(27801,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB164) | (~v22(constB164)) | (~v19(constB164)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB164) | (~v22(constB164)) | (~v19(constB164)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27802,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB164) | (~v22(constB164)) | (~v19(constB164)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27803,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB164) | (~v22(constB164)) | (~v19(constB164))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27802, 27801])).
% 51.23/33.76 tff(27804,plain,
% 51.23/33.76 (v18(constB164) | (~v19(constB164))),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27803, 13351, 27800])).
% 51.23/33.76 tff(27805,plain,
% 51.23/33.76 (~v19(constB164)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27804, 27796])).
% 51.23/33.76 tff(27806,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27807,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27808,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164)),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27807, 27806])).
% 51.23/33.76 tff(27809,plain,
% 51.23/33.76 (v13(constB164)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27808, 13363, 27805])).
% 51.23/33.76 tff(27810,plain,
% 51.23/33.76 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27811,plain,
% 51.23/33.76 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27812,plain,
% 51.23/33.76 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27811, 27810])).
% 51.23/33.76 tff(27813,plain,
% 51.23/33.76 (v9(constB163) | (~v13(constB164))),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27812, 13377, 20849])).
% 51.23/33.76 tff(27814,plain,
% 51.23/33.76 (v9(constB163)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27813, 27809])).
% 51.23/33.76 tff(27815,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v141(constB163))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB163) | (~v9(constB163)) | v141(constB163))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27816,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v141(constB163))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27817,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB163) | (~v9(constB163)) | v141(constB163)),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27816, 27815])).
% 51.23/33.76 tff(27818,plain,
% 51.23/33.76 ((~v9(constB163)) | v141(constB163)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27817, 13392, 20705])).
% 51.23/33.76 tff(27819,plain,
% 51.23/33.76 (v141(constB163)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27818, 27814])).
% 51.23/33.76 tff(27820,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB163) | (~v141(constB163)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB163) | (~v141(constB163)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27821,plain,
% 51.23/33.76 (((~v141(constB163)) | v140(constB163)) <=> (v140(constB163) | (~v141(constB163)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27822,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB163)) | v140(constB163))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB163) | (~v141(constB163))))),
% 51.23/33.76 inference(monotonicity,[status(thm)],[27821])).
% 51.23/33.76 tff(27823,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB163)) | v140(constB163))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB163) | (~v141(constB163)))),
% 51.23/33.76 inference(transitivity,[status(thm)],[27822, 27820])).
% 51.23/33.76 tff(27824,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB163)) | v140(constB163))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27825,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB163) | (~v141(constB163))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27824, 27823])).
% 51.23/33.76 tff(27826,plain,
% 51.23/33.76 (v140(constB163)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27825, 13404, 27819])).
% 51.23/33.76 tff(27827,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB163)) | (~v140(constB163)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB163)) | (~v140(constB163)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27828,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB163)) | (~v140(constB163)))),
% 51.23/33.76 inference(quant_inst,[status(thm)],[])).
% 51.23/33.76 tff(27829,plain,
% 51.23/33.76 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB163)) | (~v140(constB163))),
% 51.23/33.76 inference(modus_ponens,[status(thm)],[27828, 27827])).
% 51.23/33.76 tff(27830,plain,
% 51.23/33.76 (~v138(constB163)),
% 51.23/33.76 inference(unit_resolution,[status(thm)],[27829, 13495, 27826])).
% 51.23/33.76 tff(27831,plain,
% 51.23/33.76 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB163) | v142(constB163) | (~v135(constB163)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB163) | v142(constB163) | (~v135(constB163)))),
% 51.23/33.76 inference(rewrite,[status(thm)],[])).
% 51.23/33.76 tff(27832,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB163) | v142(constB163) | (~v135(constB163)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27833,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB163) | v142(constB163) | (~v135(constB163))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27832, 27831])).
% 51.23/33.77 tff(27834,plain,
% 51.23/33.77 (v142(constB163) | (~v135(constB163))),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27833, 13509, 27830])).
% 51.23/33.77 tff(27835,plain,
% 51.23/33.77 (~v135(constB163)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27834, 27792])).
% 51.23/33.77 tff(27836,plain,
% 51.23/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27837,plain,
% 51.23/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27838,plain,
% 51.23/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27837, 27836])).
% 51.23/33.77 tff(27839,plain,
% 51.23/33.77 (v135(constB163) | (~v137(constB164))),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27838, 13524, 20849])).
% 51.23/33.77 tff(27840,plain,
% 51.23/33.77 (~v137(constB164)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27839, 27835])).
% 51.23/33.77 tff(27841,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB164) | (~v138(constB164)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB164) | (~v138(constB164)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27842,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB164) | (~v138(constB164)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27843,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB164) | (~v138(constB164))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27842, 27841])).
% 51.23/33.77 tff(27844,plain,
% 51.23/33.77 (~v138(constB164)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27843, 13539, 27840])).
% 51.23/33.77 tff(27845,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB164)) | (~v141(constB164)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB164)) | (~v141(constB164)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27846,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB164)) | (~v141(constB164)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27847,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB164)) | (~v141(constB164))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27846, 27845])).
% 51.23/33.77 tff(27848,plain,
% 51.23/33.77 (~v141(constB164)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27847, 13553, 20869])).
% 51.23/33.77 tff(27849,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB164) | (~v144(constB164)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB164) | (~v144(constB164)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27850,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB164) | (~v144(constB164)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27851,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB164) | (~v144(constB164))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27850, 27849])).
% 51.23/33.77 tff(27852,plain,
% 51.23/33.77 (~v144(constB164)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27851, 13567, 27848])).
% 51.23/33.77 tff(27853,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB164) | (~v142(constB164)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB164) | (~v142(constB164)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27854,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB164) | (~v142(constB164)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27855,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB164) | (~v142(constB164))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27854, 27853])).
% 51.23/33.77 tff(27856,plain,
% 51.23/33.77 (~v142(constB164)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27855, 13453, 27852])).
% 51.23/33.77 tff(27857,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB164) | v142(constB164) | (~v135(constB164)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB164) | v142(constB164) | (~v135(constB164)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27858,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB164) | v142(constB164) | (~v135(constB164)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27859,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB164) | v142(constB164) | (~v135(constB164))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27858, 27857])).
% 51.23/33.77 tff(27860,plain,
% 51.23/33.77 (v138(constB164) | (~v135(constB164))),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27859, 13509, 27856])).
% 51.23/33.77 tff(27861,plain,
% 51.23/33.77 (~v135(constB164)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27860, 27844])).
% 51.23/33.77 tff(27862,plain,
% 51.23/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27863,plain,
% 51.23/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27864,plain,
% 51.23/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27863, 27862])).
% 51.23/33.77 tff(27865,plain,
% 51.23/33.77 (v135(constB164) | (~v137(constB165))),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27864, 13524, 20911])).
% 51.23/33.77 tff(27866,plain,
% 51.23/33.77 (~v137(constB165)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27865, 27861])).
% 51.23/33.77 tff(27867,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB165) | (~v154(constB165)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB165) | (~v154(constB165)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27868,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB165) | (~v154(constB165)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27869,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB165) | (~v154(constB165))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27868, 27867])).
% 51.23/33.77 tff(27870,plain,
% 51.23/33.77 (~v154(constB165)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27869, 13595, 27866])).
% 51.23/33.77 tff(27871,assumption,(v18(constB166)), introduced(assumption)).
% 51.23/33.77 tff(27872,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB166))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27873,plain,
% 51.23/33.77 ($false),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27872, 13324, 27871])).
% 51.23/33.77 tff(27874,plain,(~v18(constB166)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.77 tff(27875,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27876,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27877,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27876, 27875])).
% 51.23/33.77 tff(27878,plain,
% 51.23/33.77 (v22(constB166)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27877, 13337, 21044])).
% 51.23/33.77 tff(27879,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB166) | (~v22(constB166)) | (~v19(constB166)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB166) | (~v22(constB166)) | (~v19(constB166)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27880,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB166) | (~v22(constB166)) | (~v19(constB166)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27881,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB166) | (~v22(constB166)) | (~v19(constB166))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27880, 27879])).
% 51.23/33.77 tff(27882,plain,
% 51.23/33.77 (v18(constB166) | (~v19(constB166))),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27881, 13351, 27878])).
% 51.23/33.77 tff(27883,plain,
% 51.23/33.77 (~v19(constB166)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27882, 27874])).
% 51.23/33.77 tff(27884,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27885,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27886,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166)),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27885, 27884])).
% 51.23/33.77 tff(27887,plain,
% 51.23/33.77 (v13(constB166)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27886, 13363, 27883])).
% 51.23/33.77 tff(27888,plain,
% 51.23/33.77 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27889,plain,
% 51.23/33.77 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27890,plain,
% 51.23/33.77 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27889, 27888])).
% 51.23/33.77 tff(27891,plain,
% 51.23/33.77 (v9(constB165) | (~v13(constB166))),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27890, 13377, 21024])).
% 51.23/33.77 tff(27892,plain,
% 51.23/33.77 (v9(constB165)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27891, 27887])).
% 51.23/33.77 tff(27893,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v141(constB165))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB165) | (~v9(constB165)) | v141(constB165))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27894,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v141(constB165))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27895,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB165) | (~v9(constB165)) | v141(constB165)),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27894, 27893])).
% 51.23/33.77 tff(27896,plain,
% 51.23/33.77 ((~v9(constB165)) | v141(constB165)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27895, 13392, 20908])).
% 51.23/33.77 tff(27897,plain,
% 51.23/33.77 (v141(constB165)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27896, 27892])).
% 51.23/33.77 tff(27898,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB165) | (~v141(constB165)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB165) | (~v141(constB165)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27899,plain,
% 51.23/33.77 (((~v141(constB165)) | v140(constB165)) <=> (v140(constB165) | (~v141(constB165)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27900,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB165)) | v140(constB165))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB165) | (~v141(constB165))))),
% 51.23/33.77 inference(monotonicity,[status(thm)],[27899])).
% 51.23/33.77 tff(27901,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB165)) | v140(constB165))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB165) | (~v141(constB165)))),
% 51.23/33.77 inference(transitivity,[status(thm)],[27900, 27898])).
% 51.23/33.77 tff(27902,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB165)) | v140(constB165))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27903,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB165) | (~v141(constB165))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27902, 27901])).
% 51.23/33.77 tff(27904,plain,
% 51.23/33.77 (v140(constB165)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27903, 13404, 27897])).
% 51.23/33.77 tff(27905,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB165)) | (~v153(constB165)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB165)) | (~v153(constB165)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27906,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB165)) | (~v153(constB165)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27907,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB165)) | (~v153(constB165))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27906, 27905])).
% 51.23/33.77 tff(27908,plain,
% 51.23/33.77 (~v153(constB165)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27907, 13640, 27904])).
% 51.23/33.77 tff(27909,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB165) | v154(constB165) | (~v150(constB165)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB165) | v154(constB165) | (~v150(constB165)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27910,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB165) | v154(constB165) | (~v150(constB165)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27911,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB165) | v154(constB165) | (~v150(constB165))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27910, 27909])).
% 51.23/33.77 tff(27912,plain,
% 51.23/33.77 (v154(constB165) | (~v150(constB165))),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27911, 13654, 27908])).
% 51.23/33.77 tff(27913,plain,
% 51.23/33.77 (~v150(constB165)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27912, 27870])).
% 51.23/33.77 tff(27914,plain,
% 51.23/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27915,plain,
% 51.23/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27916,plain,
% 51.23/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27915, 27914])).
% 51.23/33.77 tff(27917,plain,
% 51.23/33.77 (v150(constB165) | (~v152(constB166))),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27916, 13669, 21024])).
% 51.23/33.77 tff(27918,plain,
% 51.23/33.77 (~v152(constB166)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27917, 27913])).
% 51.23/33.77 tff(27919,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB166) | (~v153(constB166)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB166) | (~v153(constB166)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27920,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB166) | (~v153(constB166)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27921,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB166) | (~v153(constB166))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27920, 27919])).
% 51.23/33.77 tff(27922,plain,
% 51.23/33.77 (~v153(constB166)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27921, 13684, 27918])).
% 51.23/33.77 tff(27923,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB166)) | (~v141(constB166)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB166)) | (~v141(constB166)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27924,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB166)) | (~v141(constB166)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27925,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB166)) | (~v141(constB166))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27924, 27923])).
% 51.23/33.77 tff(27926,plain,
% 51.23/33.77 (~v141(constB166)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27925, 13553, 21044])).
% 51.23/33.77 tff(27927,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB166) | (~v155(constB166)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB166) | (~v155(constB166)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27928,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB166) | (~v155(constB166)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27929,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB166) | (~v155(constB166))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27928, 27927])).
% 51.23/33.77 tff(27930,plain,
% 51.23/33.77 (~v155(constB166)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27929, 13702, 27926])).
% 51.23/33.77 tff(27931,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB166) | (~v154(constB166)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB166) | (~v154(constB166)))),
% 51.23/33.77 inference(rewrite,[status(thm)],[])).
% 51.23/33.77 tff(27932,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB166) | (~v154(constB166)))),
% 51.23/33.77 inference(quant_inst,[status(thm)],[])).
% 51.23/33.77 tff(27933,plain,
% 51.23/33.77 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB166) | (~v154(constB166))),
% 51.23/33.77 inference(modus_ponens,[status(thm)],[27932, 27931])).
% 51.23/33.77 tff(27934,plain,
% 51.23/33.77 (~v154(constB166)),
% 51.23/33.77 inference(unit_resolution,[status(thm)],[27933, 13716, 27930])).
% 51.23/33.77 tff(27935,plain,
% 51.23/33.77 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB166) | v154(constB166) | (~v150(constB166)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB166) | v154(constB166) | (~v150(constB166)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27936,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB166) | v154(constB166) | (~v150(constB166)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27937,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB166) | v154(constB166) | (~v150(constB166))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27936, 27935])).
% 51.23/33.78 tff(27938,plain,
% 51.23/33.78 (v153(constB166) | (~v150(constB166))),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27937, 13654, 27934])).
% 51.23/33.78 tff(27939,plain,
% 51.23/33.78 (~v150(constB166)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27938, 27922])).
% 51.23/33.78 tff(27940,plain,
% 51.23/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27941,plain,
% 51.23/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27942,plain,
% 51.23/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27941, 27940])).
% 51.23/33.78 tff(27943,plain,
% 51.23/33.78 (v150(constB166) | (~v152(constB167))),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27942, 13669, 21113])).
% 51.23/33.78 tff(27944,plain,
% 51.23/33.78 (~v152(constB167)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27943, 27939])).
% 51.23/33.78 tff(27945,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB167) | (~v164(constB167)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB167) | (~v164(constB167)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27946,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB167) | (~v164(constB167)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27947,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB167) | (~v164(constB167))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27946, 27945])).
% 51.23/33.78 tff(27948,plain,
% 51.23/33.78 (~v164(constB167)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27947, 13740, 27944])).
% 51.23/33.78 tff(27949,assumption,(v18(constB168)), introduced(assumption)).
% 51.23/33.78 tff(27950,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB168))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27951,plain,
% 51.23/33.78 ($false),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27950, 13324, 27949])).
% 51.23/33.78 tff(27952,plain,(~v18(constB168)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.78 tff(27953,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27954,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27955,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27954, 27953])).
% 51.23/33.78 tff(27956,plain,
% 51.23/33.78 (v22(constB168)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27955, 13337, 21278])).
% 51.23/33.78 tff(27957,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB168) | (~v22(constB168)) | (~v19(constB168)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB168) | (~v22(constB168)) | (~v19(constB168)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27958,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB168) | (~v22(constB168)) | (~v19(constB168)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27959,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB168) | (~v22(constB168)) | (~v19(constB168))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27958, 27957])).
% 51.23/33.78 tff(27960,plain,
% 51.23/33.78 (v18(constB168) | (~v19(constB168))),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27959, 13351, 27956])).
% 51.23/33.78 tff(27961,plain,
% 51.23/33.78 (~v19(constB168)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27960, 27952])).
% 51.23/33.78 tff(27962,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27963,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27964,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168)),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27963, 27962])).
% 51.23/33.78 tff(27965,plain,
% 51.23/33.78 (v13(constB168)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27964, 13363, 27961])).
% 51.23/33.78 tff(27966,plain,
% 51.23/33.78 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27967,plain,
% 51.23/33.78 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27968,plain,
% 51.23/33.78 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27967, 27966])).
% 51.23/33.78 tff(27969,plain,
% 51.23/33.78 (v9(constB167) | (~v13(constB168))),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27968, 13377, 21258])).
% 51.23/33.78 tff(27970,plain,
% 51.23/33.78 (v9(constB167)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27969, 27965])).
% 51.23/33.78 tff(27971,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v141(constB167))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB167) | (~v9(constB167)) | v141(constB167))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27972,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v141(constB167))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27973,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB167) | (~v9(constB167)) | v141(constB167)),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27972, 27971])).
% 51.23/33.78 tff(27974,plain,
% 51.23/33.78 ((~v9(constB167)) | v141(constB167)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27973, 13392, 21110])).
% 51.23/33.78 tff(27975,plain,
% 51.23/33.78 (v141(constB167)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27974, 27970])).
% 51.23/33.78 tff(27976,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB167)) | v140(constB167))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB167)) | v140(constB167))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27977,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB167)) | v140(constB167))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27978,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB167)) | v140(constB167)),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27977, 27976])).
% 51.23/33.78 tff(27979,plain,
% 51.23/33.78 (v140(constB167)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27978, 13404, 27975])).
% 51.23/33.78 tff(27980,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB167)) | (~v163(constB167)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB167)) | (~v163(constB167)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27981,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB167)) | (~v163(constB167)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27982,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB167)) | (~v163(constB167))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27981, 27980])).
% 51.23/33.78 tff(27983,plain,
% 51.23/33.78 (~v163(constB167)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27982, 13421, 27979])).
% 51.23/33.78 tff(27984,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB167) | v164(constB167) | (~v160(constB167)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB167) | v164(constB167) | (~v160(constB167)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27985,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB167) | v164(constB167) | (~v160(constB167)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27986,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB167) | v164(constB167) | (~v160(constB167))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27985, 27984])).
% 51.23/33.78 tff(27987,plain,
% 51.23/33.78 (v164(constB167) | (~v160(constB167))),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27986, 13754, 27983])).
% 51.23/33.78 tff(27988,plain,
% 51.23/33.78 (~v160(constB167)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27987, 27948])).
% 51.23/33.78 tff(27989,plain,
% 51.23/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27990,plain,
% 51.23/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27991,plain,
% 51.23/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27990, 27989])).
% 51.23/33.78 tff(27992,plain,
% 51.23/33.78 (v160(constB167) | (~v162(constB168))),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27991, 13769, 21258])).
% 51.23/33.78 tff(27993,plain,
% 51.23/33.78 (~v162(constB168)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27992, 27988])).
% 51.23/33.78 tff(27994,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB168) | (~v163(constB168)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB168) | (~v163(constB168)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27995,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB168) | (~v163(constB168)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(27996,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB168) | (~v163(constB168))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27995, 27994])).
% 51.23/33.78 tff(27997,plain,
% 51.23/33.78 (~v163(constB168)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[27996, 13784, 27993])).
% 51.23/33.78 tff(27998,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB168)) | (~v141(constB168)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB168)) | (~v141(constB168)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(27999,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB168)) | (~v141(constB168)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(28000,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB168)) | (~v141(constB168))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[27999, 27998])).
% 51.23/33.78 tff(28001,plain,
% 51.23/33.78 (~v141(constB168)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[28000, 13553, 21278])).
% 51.23/33.78 tff(28002,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB168) | (~v155(constB168)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB168) | (~v155(constB168)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(28003,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB168) | (~v155(constB168)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(28004,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB168) | (~v155(constB168))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[28003, 28002])).
% 51.23/33.78 tff(28005,plain,
% 51.23/33.78 (~v155(constB168)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[28004, 13702, 28001])).
% 51.23/33.78 tff(28006,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB168) | (~v164(constB168)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB168) | (~v164(constB168)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(28007,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB168) | (~v164(constB168)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(28008,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB168) | (~v164(constB168))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[28007, 28006])).
% 51.23/33.78 tff(28009,plain,
% 51.23/33.78 (~v164(constB168)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[28008, 13806, 28005])).
% 51.23/33.78 tff(28010,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB168) | v164(constB168) | (~v160(constB168)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB168) | v164(constB168) | (~v160(constB168)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(28011,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB168) | v164(constB168) | (~v160(constB168)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(28012,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB168) | v164(constB168) | (~v160(constB168))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[28011, 28010])).
% 51.23/33.78 tff(28013,plain,
% 51.23/33.78 (v163(constB168) | (~v160(constB168))),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[28012, 13754, 28009])).
% 51.23/33.78 tff(28014,plain,
% 51.23/33.78 (~v160(constB168)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[28013, 27997])).
% 51.23/33.78 tff(28015,plain,
% 51.23/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(28016,plain,
% 51.23/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(28017,plain,
% 51.23/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[28016, 28015])).
% 51.23/33.78 tff(28018,plain,
% 51.23/33.78 (v160(constB168) | (~v162(constB169))),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[28017, 13769, 21320])).
% 51.23/33.78 tff(28019,plain,
% 51.23/33.78 (~v162(constB169)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[28018, 28014])).
% 51.23/33.78 tff(28020,plain,
% 51.23/33.78 ($false),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[28019, 27780])).
% 51.23/33.78 tff(28021,plain,(~(constB169 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.78 tff(28022,assumption,(constB66 = sK0_VarCurr), introduced(assumption)).
% 51.23/33.78 tff(28023,plain,
% 51.23/33.78 (v1(constB66) <=> v1(sK0_VarCurr)),
% 51.23/33.78 inference(monotonicity,[status(thm)],[28022])).
% 51.23/33.78 tff(28024,plain,
% 51.23/33.78 (v1(sK0_VarCurr) <=> v1(constB66)),
% 51.23/33.78 inference(symmetry,[status(thm)],[28023])).
% 51.23/33.78 tff(28025,plain,
% 51.23/33.78 ((~v1(sK0_VarCurr)) <=> (~v1(constB66))),
% 51.23/33.78 inference(monotonicity,[status(thm)],[28024])).
% 51.23/33.78 tff(28026,plain,
% 51.23/33.78 (~v1(constB66)),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[25725, 28025])).
% 51.23/33.78 tff(28027,plain,
% 51.23/33.78 ($false),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[8735, 28026])).
% 51.23/33.78 tff(28028,plain,(~(constB66 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.78 tff(28029,assumption,(constB196 = sK0_VarCurr), introduced(assumption)).
% 51.23/33.78 tff(28030,plain,
% 51.23/33.78 (v1(constB196) <=> v1(sK0_VarCurr)),
% 51.23/33.78 inference(monotonicity,[status(thm)],[28029])).
% 51.23/33.78 tff(28031,plain,
% 51.23/33.78 (v1(sK0_VarCurr) <=> v1(constB196)),
% 51.23/33.78 inference(symmetry,[status(thm)],[28030])).
% 51.23/33.78 tff(28032,plain,
% 51.23/33.78 ((~v1(sK0_VarCurr)) <=> (~v1(constB196))),
% 51.23/33.78 inference(monotonicity,[status(thm)],[28031])).
% 51.23/33.78 tff(28033,plain,
% 51.23/33.78 (~v1(constB196)),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[25725, 28032])).
% 51.23/33.78 tff(28034,plain,
% 51.23/33.78 (v1(constB196) <=> v1(constB196)),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(28035,axiom,(v1(constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 51.23/33.78 tff(28036,plain,
% 51.23/33.78 (v1(constB196)),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[28035, 28034])).
% 51.23/33.78 tff(28037,plain,
% 51.23/33.78 ($false),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[28036, 28033])).
% 51.23/33.78 tff(28038,plain,(~(constB196 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.78 tff(28039,assumption,(constB176 = sK0_VarCurr), introduced(assumption)).
% 51.23/33.78 tff(28040,plain,
% 51.23/33.78 (v1(constB176) <=> v1(sK0_VarCurr)),
% 51.23/33.78 inference(monotonicity,[status(thm)],[28039])).
% 51.23/33.78 tff(28041,plain,
% 51.23/33.78 (v1(sK0_VarCurr) <=> v1(constB176)),
% 51.23/33.78 inference(symmetry,[status(thm)],[28040])).
% 51.23/33.78 tff(28042,plain,
% 51.23/33.78 ((~v1(sK0_VarCurr)) <=> (~v1(constB176))),
% 51.23/33.78 inference(monotonicity,[status(thm)],[28041])).
% 51.23/33.78 tff(28043,plain,
% 51.23/33.78 (~v1(constB176)),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[25725, 28042])).
% 51.23/33.78 tff(28044,plain,
% 51.23/33.78 ($false),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[22052, 28043])).
% 51.23/33.78 tff(28045,plain,(~(constB176 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.78 tff(28046,assumption,(constB115 = sK0_VarCurr), introduced(assumption)).
% 51.23/33.78 tff(28047,plain,
% 51.23/33.78 (v162(constB115) <=> v162(sK0_VarCurr)),
% 51.23/33.78 inference(monotonicity,[status(thm)],[28046])).
% 51.23/33.78 tff(28048,plain,
% 51.23/33.78 (v162(sK0_VarCurr) <=> v162(constB115)),
% 51.23/33.78 inference(symmetry,[status(thm)],[28047])).
% 51.23/33.78 tff(28049,plain,
% 51.23/33.78 (v162(constB115)),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[13315, 28048])).
% 51.23/33.78 tff(28050,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB109)) | (~v84(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB109)) | (~v84(constB109, bitIndex1)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(28051,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB109)) | (~v84(constB109, bitIndex1)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(28052,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB109)) | (~v84(constB109, bitIndex1))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[28051, 28050])).
% 51.23/33.78 tff(28053,plain,
% 51.23/33.78 (~v145(constB109)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[28052, 1091, 14404])).
% 51.23/33.78 tff(28054,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB109) | (~v144(constB109)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB109) | (~v144(constB109)))),
% 51.23/33.78 inference(rewrite,[status(thm)],[])).
% 51.23/33.78 tff(28055,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB109) | (~v144(constB109)))),
% 51.23/33.78 inference(quant_inst,[status(thm)],[])).
% 51.23/33.78 tff(28056,plain,
% 51.23/33.78 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB109) | (~v144(constB109))),
% 51.23/33.78 inference(modus_ponens,[status(thm)],[28055, 28054])).
% 51.23/33.78 tff(28057,plain,
% 51.23/33.78 (~v144(constB109)),
% 51.23/33.78 inference(unit_resolution,[status(thm)],[28056, 13439, 28053])).
% 51.23/33.78 tff(28058,plain,
% 51.23/33.78 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB109) | (~v142(constB109)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28059,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB109) | (~v142(constB109)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28060,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB109) | (~v142(constB109))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28059, 28058])).
% 51.23/33.79 tff(28061,plain,
% 51.23/33.79 (~v142(constB109)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28060, 13453, 28057])).
% 51.23/33.79 tff(28062,assumption,(v18(constB110)), introduced(assumption)).
% 51.23/33.79 tff(28063,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB110))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28064,plain,
% 51.23/33.79 ($false),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28063, 13324, 28062])).
% 51.23/33.79 tff(28065,plain,(~v18(constB110)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.79 tff(28066,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28067,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28068,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28067, 28066])).
% 51.23/33.79 tff(28069,plain,
% 51.23/33.79 (v22(constB110)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28068, 13337, 14520])).
% 51.23/33.79 tff(28070,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB110) | (~v22(constB110)) | (~v19(constB110)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB110) | (~v22(constB110)) | (~v19(constB110)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28071,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB110) | (~v22(constB110)) | (~v19(constB110)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28072,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB110) | (~v22(constB110)) | (~v19(constB110))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28071, 28070])).
% 51.23/33.79 tff(28073,plain,
% 51.23/33.79 (v18(constB110) | (~v19(constB110))),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28072, 13351, 28069])).
% 51.23/33.79 tff(28074,plain,
% 51.23/33.79 (~v19(constB110)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28073, 28065])).
% 51.23/33.79 tff(28075,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28076,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28077,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110)),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28076, 28075])).
% 51.23/33.79 tff(28078,plain,
% 51.23/33.79 (v13(constB110)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28077, 13363, 28074])).
% 51.23/33.79 tff(28079,plain,
% 51.23/33.79 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28080,plain,
% 51.23/33.79 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28081,plain,
% 51.23/33.79 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28080, 28079])).
% 51.23/33.79 tff(28082,plain,
% 51.23/33.79 (v9(constB109) | (~v13(constB110))),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28081, 13377, 14500])).
% 51.23/33.79 tff(28083,plain,
% 51.23/33.79 (v9(constB109)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28082, 28078])).
% 51.23/33.79 tff(28084,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v141(constB109))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB109) | (~v9(constB109)) | v141(constB109))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28085,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v141(constB109))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28086,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB109) | (~v9(constB109)) | v141(constB109)),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28085, 28084])).
% 51.23/33.79 tff(28087,plain,
% 51.23/33.79 ((~v9(constB109)) | v141(constB109)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28086, 13392, 14349])).
% 51.23/33.79 tff(28088,plain,
% 51.23/33.79 (v141(constB109)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28087, 28083])).
% 51.23/33.79 tff(28089,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB109) | (~v141(constB109)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB109) | (~v141(constB109)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28090,plain,
% 51.23/33.79 (((~v141(constB109)) | v140(constB109)) <=> (v140(constB109) | (~v141(constB109)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28091,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB109)) | v140(constB109))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB109) | (~v141(constB109))))),
% 51.23/33.79 inference(monotonicity,[status(thm)],[28090])).
% 51.23/33.79 tff(28092,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB109)) | v140(constB109))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB109) | (~v141(constB109)))),
% 51.23/33.79 inference(transitivity,[status(thm)],[28091, 28089])).
% 51.23/33.79 tff(28093,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB109)) | v140(constB109))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28094,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB109) | (~v141(constB109))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28093, 28092])).
% 51.23/33.79 tff(28095,plain,
% 51.23/33.79 (v140(constB109)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28094, 13404, 28088])).
% 51.23/33.79 tff(28096,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB109)) | (~v140(constB109)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB109)) | (~v140(constB109)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28097,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB109)) | (~v140(constB109)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28098,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB109)) | (~v140(constB109))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28097, 28096])).
% 51.23/33.79 tff(28099,plain,
% 51.23/33.79 (~v138(constB109)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28098, 13495, 28095])).
% 51.23/33.79 tff(28100,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB109) | v142(constB109) | (~v135(constB109)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB109) | v142(constB109) | (~v135(constB109)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28101,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB109) | v142(constB109) | (~v135(constB109)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28102,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB109) | v142(constB109) | (~v135(constB109))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28101, 28100])).
% 51.23/33.79 tff(28103,plain,
% 51.23/33.79 (v142(constB109) | (~v135(constB109))),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28102, 13509, 28099])).
% 51.23/33.79 tff(28104,plain,
% 51.23/33.79 (~v135(constB109)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28103, 28061])).
% 51.23/33.79 tff(28105,plain,
% 51.23/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28106,plain,
% 51.23/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28107,plain,
% 51.23/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28106, 28105])).
% 51.23/33.79 tff(28108,plain,
% 51.23/33.79 (v135(constB109) | (~v137(constB110))),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28107, 13524, 14500])).
% 51.23/33.79 tff(28109,plain,
% 51.23/33.79 (~v137(constB110)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28108, 28104])).
% 51.23/33.79 tff(28110,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB110) | (~v138(constB110)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB110) | (~v138(constB110)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28111,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB110) | (~v138(constB110)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28112,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB110) | (~v138(constB110))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28111, 28110])).
% 51.23/33.79 tff(28113,plain,
% 51.23/33.79 (~v138(constB110)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28112, 13539, 28109])).
% 51.23/33.79 tff(28114,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB110)) | (~v141(constB110)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB110)) | (~v141(constB110)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28115,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB110)) | (~v141(constB110)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28116,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB110)) | (~v141(constB110))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28115, 28114])).
% 51.23/33.79 tff(28117,plain,
% 51.23/33.79 (~v141(constB110)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28116, 13553, 14520])).
% 51.23/33.79 tff(28118,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB110) | (~v144(constB110)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB110) | (~v144(constB110)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28119,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB110) | (~v144(constB110)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28120,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB110) | (~v144(constB110))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28119, 28118])).
% 51.23/33.79 tff(28121,plain,
% 51.23/33.79 (~v144(constB110)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28120, 13567, 28117])).
% 51.23/33.79 tff(28122,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB110) | (~v142(constB110)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB110) | (~v142(constB110)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28123,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB110) | (~v142(constB110)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28124,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB110) | (~v142(constB110))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28123, 28122])).
% 51.23/33.79 tff(28125,plain,
% 51.23/33.79 (~v142(constB110)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28124, 13453, 28121])).
% 51.23/33.79 tff(28126,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB110) | v142(constB110) | (~v135(constB110)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB110) | v142(constB110) | (~v135(constB110)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28127,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB110) | v142(constB110) | (~v135(constB110)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28128,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB110) | v142(constB110) | (~v135(constB110))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28127, 28126])).
% 51.23/33.79 tff(28129,plain,
% 51.23/33.79 (v138(constB110) | (~v135(constB110))),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28128, 13509, 28125])).
% 51.23/33.79 tff(28130,plain,
% 51.23/33.79 (~v135(constB110)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28129, 28113])).
% 51.23/33.79 tff(28131,plain,
% 51.23/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28132,plain,
% 51.23/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28133,plain,
% 51.23/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28132, 28131])).
% 51.23/33.79 tff(28134,plain,
% 51.23/33.79 (v135(constB110) | (~v137(constB111))),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28133, 13524, 14566])).
% 51.23/33.79 tff(28135,plain,
% 51.23/33.79 (~v137(constB111)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28134, 28130])).
% 51.23/33.79 tff(28136,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB111) | (~v154(constB111)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB111) | (~v154(constB111)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28137,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB111) | (~v154(constB111)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28138,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB111) | (~v154(constB111))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28137, 28136])).
% 51.23/33.79 tff(28139,plain,
% 51.23/33.79 (~v154(constB111)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28138, 13595, 28135])).
% 51.23/33.79 tff(28140,assumption,(v18(constB112)), introduced(assumption)).
% 51.23/33.79 tff(28141,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB112))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28142,plain,
% 51.23/33.79 ($false),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28141, 13324, 28140])).
% 51.23/33.79 tff(28143,plain,(~v18(constB112)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.79 tff(28144,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28145,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28146,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28145, 28144])).
% 51.23/33.79 tff(28147,plain,
% 51.23/33.79 (v22(constB112)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28146, 13337, 14711])).
% 51.23/33.79 tff(28148,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB112) | (~v22(constB112)) | (~v19(constB112)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB112) | (~v22(constB112)) | (~v19(constB112)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28149,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB112) | (~v22(constB112)) | (~v19(constB112)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28150,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB112) | (~v22(constB112)) | (~v19(constB112))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28149, 28148])).
% 51.23/33.79 tff(28151,plain,
% 51.23/33.79 (v18(constB112) | (~v19(constB112))),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28150, 13351, 28147])).
% 51.23/33.79 tff(28152,plain,
% 51.23/33.79 (~v19(constB112)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28151, 28143])).
% 51.23/33.79 tff(28153,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28154,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28155,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112)),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28154, 28153])).
% 51.23/33.79 tff(28156,plain,
% 51.23/33.79 (v13(constB112)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28155, 13363, 28152])).
% 51.23/33.79 tff(28157,plain,
% 51.23/33.79 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28158,plain,
% 51.23/33.79 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28159,plain,
% 51.23/33.79 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28158, 28157])).
% 51.23/33.79 tff(28160,plain,
% 51.23/33.79 (v9(constB111) | (~v13(constB112))),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28159, 13377, 14691])).
% 51.23/33.79 tff(28161,plain,
% 51.23/33.79 (v9(constB111)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28160, 28156])).
% 51.23/33.79 tff(28162,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v141(constB111))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB111) | (~v9(constB111)) | v141(constB111))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28163,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v141(constB111))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28164,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB111) | (~v9(constB111)) | v141(constB111)),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28163, 28162])).
% 51.23/33.79 tff(28165,plain,
% 51.23/33.79 ((~v9(constB111)) | v141(constB111)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28164, 13392, 14563])).
% 51.23/33.79 tff(28166,plain,
% 51.23/33.79 (v141(constB111)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28165, 28161])).
% 51.23/33.79 tff(28167,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB111)) | v140(constB111))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB111)) | v140(constB111))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28168,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB111)) | v140(constB111))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28169,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB111)) | v140(constB111)),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28168, 28167])).
% 51.23/33.79 tff(28170,plain,
% 51.23/33.79 (v140(constB111)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28169, 13404, 28166])).
% 51.23/33.79 tff(28171,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB111)) | (~v153(constB111)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB111)) | (~v153(constB111)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28172,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB111)) | (~v153(constB111)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28173,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB111)) | (~v153(constB111))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28172, 28171])).
% 51.23/33.79 tff(28174,plain,
% 51.23/33.79 (~v153(constB111)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28173, 13640, 28170])).
% 51.23/33.79 tff(28175,plain,
% 51.23/33.79 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB111) | v154(constB111) | (~v150(constB111)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB111) | v154(constB111) | (~v150(constB111)))),
% 51.23/33.79 inference(rewrite,[status(thm)],[])).
% 51.23/33.79 tff(28176,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB111) | v154(constB111) | (~v150(constB111)))),
% 51.23/33.79 inference(quant_inst,[status(thm)],[])).
% 51.23/33.79 tff(28177,plain,
% 51.23/33.79 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB111) | v154(constB111) | (~v150(constB111))),
% 51.23/33.79 inference(modus_ponens,[status(thm)],[28176, 28175])).
% 51.23/33.79 tff(28178,plain,
% 51.23/33.79 (v154(constB111) | (~v150(constB111))),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28177, 13654, 28174])).
% 51.23/33.79 tff(28179,plain,
% 51.23/33.79 (~v150(constB111)),
% 51.23/33.79 inference(unit_resolution,[status(thm)],[28178, 28139])).
% 51.23/33.80 tff(28180,plain,
% 51.23/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112)))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28181,plain,
% 51.23/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112)))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28182,plain,
% 51.23/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112))),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28181, 28180])).
% 51.23/33.80 tff(28183,plain,
% 51.23/33.80 (v150(constB111) | (~v152(constB112))),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28182, 13669, 14691])).
% 51.23/33.80 tff(28184,plain,
% 51.23/33.80 (~v152(constB112)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28183, 28179])).
% 51.23/33.80 tff(28185,plain,
% 51.23/33.80 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB112) | (~v153(constB112)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB112) | (~v153(constB112)))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28186,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB112) | (~v153(constB112)))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28187,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB112) | (~v153(constB112))),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28186, 28185])).
% 51.23/33.80 tff(28188,plain,
% 51.23/33.80 (~v153(constB112)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28187, 13684, 28184])).
% 51.23/33.80 tff(28189,plain,
% 51.23/33.80 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB112)) | (~v141(constB112)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB112)) | (~v141(constB112)))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28190,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB112)) | (~v141(constB112)))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28191,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB112)) | (~v141(constB112))),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28190, 28189])).
% 51.23/33.80 tff(28192,plain,
% 51.23/33.80 (~v141(constB112)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28191, 13553, 14711])).
% 51.23/33.80 tff(28193,plain,
% 51.23/33.80 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB112) | (~v155(constB112)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB112) | (~v155(constB112)))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28194,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB112) | (~v155(constB112)))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28195,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB112) | (~v155(constB112))),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28194, 28193])).
% 51.23/33.80 tff(28196,plain,
% 51.23/33.80 (~v155(constB112)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28195, 13702, 28192])).
% 51.23/33.80 tff(28197,plain,
% 51.23/33.80 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB112) | (~v154(constB112)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB112) | (~v154(constB112)))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28198,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB112) | (~v154(constB112)))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28199,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB112) | (~v154(constB112))),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28198, 28197])).
% 51.23/33.80 tff(28200,plain,
% 51.23/33.80 (~v154(constB112)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28199, 13716, 28196])).
% 51.23/33.80 tff(28201,plain,
% 51.23/33.80 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB112) | v154(constB112) | (~v150(constB112)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB112) | v154(constB112) | (~v150(constB112)))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28202,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB112) | v154(constB112) | (~v150(constB112)))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28203,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB112) | v154(constB112) | (~v150(constB112))),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28202, 28201])).
% 51.23/33.80 tff(28204,plain,
% 51.23/33.80 (v153(constB112) | (~v150(constB112))),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28203, 13654, 28200])).
% 51.23/33.80 tff(28205,plain,
% 51.23/33.80 (~v150(constB112)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28204, 28188])).
% 51.23/33.80 tff(28206,plain,
% 51.23/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113)))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28207,plain,
% 51.23/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113)))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28208,plain,
% 51.23/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113))),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28207, 28206])).
% 51.23/33.80 tff(28209,plain,
% 51.23/33.80 (v150(constB112) | (~v152(constB113))),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28208, 13669, 14753])).
% 51.23/33.80 tff(28210,plain,
% 51.23/33.80 (~v152(constB113)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28209, 28205])).
% 51.23/33.80 tff(28211,plain,
% 51.23/33.80 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB113) | (~v164(constB113)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB113) | (~v164(constB113)))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28212,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB113) | (~v164(constB113)))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28213,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB113) | (~v164(constB113))),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28212, 28211])).
% 51.23/33.80 tff(28214,plain,
% 51.23/33.80 (~v164(constB113)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28213, 13740, 28210])).
% 51.23/33.80 tff(28215,assumption,(v18(constB114)), introduced(assumption)).
% 51.23/33.80 tff(28216,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB114))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28217,plain,
% 51.23/33.80 ($false),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28216, 13324, 28215])).
% 51.23/33.80 tff(28218,plain,(~v18(constB114)), inference(lemma,lemma(discharge,[]))).
% 51.23/33.80 tff(28219,plain,
% 51.23/33.80 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114)))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28220,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28221,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114))),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28220, 28219])).
% 51.23/33.80 tff(28222,plain,
% 51.23/33.80 (v22(constB114)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28221, 13337, 14900])).
% 51.23/33.80 tff(28223,plain,
% 51.23/33.80 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB114) | (~v22(constB114)) | (~v19(constB114)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB114) | (~v22(constB114)) | (~v19(constB114)))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28224,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB114) | (~v22(constB114)) | (~v19(constB114)))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28225,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB114) | (~v22(constB114)) | (~v19(constB114))),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28224, 28223])).
% 51.23/33.80 tff(28226,plain,
% 51.23/33.80 (v18(constB114) | (~v19(constB114))),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28225, 13351, 28222])).
% 51.23/33.80 tff(28227,plain,
% 51.23/33.80 (~v19(constB114)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28226, 28218])).
% 51.23/33.80 tff(28228,plain,
% 51.23/33.80 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28229,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28230,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114)),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28229, 28228])).
% 51.23/33.80 tff(28231,plain,
% 51.23/33.80 (v13(constB114)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28230, 13363, 28227])).
% 51.23/33.80 tff(28232,plain,
% 51.23/33.80 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28233,plain,
% 51.23/33.80 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28234,plain,
% 51.23/33.80 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114))),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28233, 28232])).
% 51.23/33.80 tff(28235,plain,
% 51.23/33.80 (v9(constB113) | (~v13(constB114))),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28234, 13377, 14880])).
% 51.23/33.80 tff(28236,plain,
% 51.23/33.80 (v9(constB113)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28235, 28231])).
% 51.23/33.80 tff(28237,plain,
% 51.23/33.80 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v141(constB113))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB113) | (~v9(constB113)) | v141(constB113))),
% 51.23/33.80 inference(rewrite,[status(thm)],[])).
% 51.23/33.80 tff(28238,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v141(constB113))),
% 51.23/33.80 inference(quant_inst,[status(thm)],[])).
% 51.23/33.80 tff(28239,plain,
% 51.23/33.80 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB113) | (~v9(constB113)) | v141(constB113)),
% 51.23/33.80 inference(modus_ponens,[status(thm)],[28238, 28237])).
% 51.23/33.80 tff(28240,plain,
% 51.23/33.80 ((~v9(constB113)) | v141(constB113)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28239, 13392, 14750])).
% 51.23/33.80 tff(28241,plain,
% 51.23/33.80 (v141(constB113)),
% 51.23/33.80 inference(unit_resolution,[status(thm)],[28240, 28236])).
% 51.23/33.80 tff(28242,plain,
% 51.23/33.80 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB113)) | v140(constB113))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB113)) | v140(constB113))),
% 51.32/33.80 inference(rewrite,[status(thm)],[])).
% 51.32/33.80 tff(28243,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB113)) | v140(constB113))),
% 51.32/33.80 inference(quant_inst,[status(thm)],[])).
% 51.32/33.80 tff(28244,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB113)) | v140(constB113)),
% 51.32/33.80 inference(modus_ponens,[status(thm)],[28243, 28242])).
% 51.32/33.80 tff(28245,plain,
% 51.32/33.80 (v140(constB113)),
% 51.32/33.80 inference(unit_resolution,[status(thm)],[28244, 13404, 28241])).
% 51.32/33.80 tff(28246,plain,
% 51.32/33.80 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB113)) | (~v163(constB113)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB113)) | (~v163(constB113)))),
% 51.32/33.80 inference(rewrite,[status(thm)],[])).
% 51.32/33.80 tff(28247,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB113)) | (~v163(constB113)))),
% 51.32/33.80 inference(quant_inst,[status(thm)],[])).
% 51.32/33.80 tff(28248,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB113)) | (~v163(constB113))),
% 51.32/33.80 inference(modus_ponens,[status(thm)],[28247, 28246])).
% 51.32/33.80 tff(28249,plain,
% 51.32/33.80 (~v163(constB113)),
% 51.32/33.80 inference(unit_resolution,[status(thm)],[28248, 13421, 28245])).
% 51.32/33.80 tff(28250,plain,
% 51.32/33.80 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB113) | v164(constB113) | (~v160(constB113)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB113) | v164(constB113) | (~v160(constB113)))),
% 51.32/33.80 inference(rewrite,[status(thm)],[])).
% 51.32/33.80 tff(28251,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB113) | v164(constB113) | (~v160(constB113)))),
% 51.32/33.80 inference(quant_inst,[status(thm)],[])).
% 51.32/33.80 tff(28252,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB113) | v164(constB113) | (~v160(constB113))),
% 51.32/33.80 inference(modus_ponens,[status(thm)],[28251, 28250])).
% 51.32/33.80 tff(28253,plain,
% 51.32/33.80 (v164(constB113) | (~v160(constB113))),
% 51.32/33.80 inference(unit_resolution,[status(thm)],[28252, 13754, 28249])).
% 51.32/33.80 tff(28254,plain,
% 51.32/33.80 (~v160(constB113)),
% 51.32/33.80 inference(unit_resolution,[status(thm)],[28253, 28214])).
% 51.32/33.80 tff(28255,plain,
% 51.32/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114)))),
% 51.32/33.80 inference(rewrite,[status(thm)],[])).
% 51.32/33.80 tff(28256,plain,
% 51.32/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114)))),
% 51.32/33.80 inference(quant_inst,[status(thm)],[])).
% 51.32/33.80 tff(28257,plain,
% 51.32/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114))),
% 51.32/33.80 inference(modus_ponens,[status(thm)],[28256, 28255])).
% 51.32/33.80 tff(28258,plain,
% 51.32/33.80 (v160(constB113) | (~v162(constB114))),
% 51.32/33.80 inference(unit_resolution,[status(thm)],[28257, 13769, 14880])).
% 51.32/33.80 tff(28259,plain,
% 51.32/33.80 (~v162(constB114)),
% 51.32/33.80 inference(unit_resolution,[status(thm)],[28258, 28254])).
% 51.32/33.80 tff(28260,plain,
% 51.32/33.80 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB114) | (~v163(constB114)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB114) | (~v163(constB114)))),
% 51.32/33.80 inference(rewrite,[status(thm)],[])).
% 51.32/33.80 tff(28261,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB114) | (~v163(constB114)))),
% 51.32/33.80 inference(quant_inst,[status(thm)],[])).
% 51.32/33.80 tff(28262,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB114) | (~v163(constB114))),
% 51.32/33.80 inference(modus_ponens,[status(thm)],[28261, 28260])).
% 51.32/33.80 tff(28263,plain,
% 51.32/33.80 (~v163(constB114)),
% 51.32/33.80 inference(unit_resolution,[status(thm)],[28262, 13784, 28259])).
% 51.32/33.80 tff(28264,plain,
% 51.32/33.80 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB114)) | (~v141(constB114)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB114)) | (~v141(constB114)))),
% 51.32/33.80 inference(rewrite,[status(thm)],[])).
% 51.32/33.80 tff(28265,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB114)) | (~v141(constB114)))),
% 51.32/33.80 inference(quant_inst,[status(thm)],[])).
% 51.32/33.80 tff(28266,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB114)) | (~v141(constB114))),
% 51.32/33.80 inference(modus_ponens,[status(thm)],[28265, 28264])).
% 51.32/33.80 tff(28267,plain,
% 51.32/33.80 (~v141(constB114)),
% 51.32/33.80 inference(unit_resolution,[status(thm)],[28266, 13553, 14900])).
% 51.32/33.80 tff(28268,plain,
% 51.32/33.80 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB114) | (~v155(constB114)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB114) | (~v155(constB114)))),
% 51.32/33.80 inference(rewrite,[status(thm)],[])).
% 51.32/33.80 tff(28269,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB114) | (~v155(constB114)))),
% 51.32/33.80 inference(quant_inst,[status(thm)],[])).
% 51.32/33.80 tff(28270,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB114) | (~v155(constB114))),
% 51.32/33.80 inference(modus_ponens,[status(thm)],[28269, 28268])).
% 51.32/33.80 tff(28271,plain,
% 51.32/33.80 (~v155(constB114)),
% 51.32/33.80 inference(unit_resolution,[status(thm)],[28270, 13702, 28267])).
% 51.32/33.80 tff(28272,plain,
% 51.32/33.80 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB114) | (~v164(constB114)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB114) | (~v164(constB114)))),
% 51.32/33.80 inference(rewrite,[status(thm)],[])).
% 51.32/33.80 tff(28273,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB114) | (~v164(constB114)))),
% 51.32/33.80 inference(quant_inst,[status(thm)],[])).
% 51.32/33.80 tff(28274,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB114) | (~v164(constB114))),
% 51.32/33.80 inference(modus_ponens,[status(thm)],[28273, 28272])).
% 51.32/33.80 tff(28275,plain,
% 51.32/33.80 (~v164(constB114)),
% 51.32/33.80 inference(unit_resolution,[status(thm)],[28274, 13806, 28271])).
% 51.32/33.80 tff(28276,plain,
% 51.32/33.80 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB114) | v164(constB114) | (~v160(constB114)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB114) | v164(constB114) | (~v160(constB114)))),
% 51.32/33.80 inference(rewrite,[status(thm)],[])).
% 51.32/33.80 tff(28277,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB114) | v164(constB114) | (~v160(constB114)))),
% 51.32/33.80 inference(quant_inst,[status(thm)],[])).
% 51.32/33.80 tff(28278,plain,
% 51.32/33.80 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB114) | v164(constB114) | (~v160(constB114))),
% 51.32/33.80 inference(modus_ponens,[status(thm)],[28277, 28276])).
% 51.32/33.80 tff(28279,plain,
% 51.32/33.80 (v163(constB114) | (~v160(constB114))),
% 51.32/33.80 inference(unit_resolution,[status(thm)],[28278, 13754, 28275])).
% 51.32/33.80 tff(28280,plain,
% 51.32/33.80 (~v160(constB114)),
% 51.32/33.80 inference(unit_resolution,[status(thm)],[28279, 28263])).
% 51.32/33.80 tff(28281,plain,
% 51.32/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115)))),
% 51.32/33.80 inference(rewrite,[status(thm)],[])).
% 51.32/33.80 tff(28282,plain,
% 51.32/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28283,plain,
% 51.32/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28282, 28281])).
% 51.32/33.81 tff(28284,plain,
% 51.32/33.81 (v160(constB114) | (~v162(constB115))),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28283, 13769, 14942])).
% 51.32/33.81 tff(28285,plain,
% 51.32/33.81 (~v162(constB115)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28284, 28280])).
% 51.32/33.81 tff(28286,plain,
% 51.32/33.81 ($false),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28285, 28049])).
% 51.32/33.81 tff(28287,plain,(~(constB115 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.32/33.81 tff(28288,assumption,(constB104 = sK0_VarCurr), introduced(assumption)).
% 51.32/33.81 tff(28289,plain,
% 51.32/33.81 (v1(constB104) <=> v1(sK0_VarCurr)),
% 51.32/33.81 inference(monotonicity,[status(thm)],[28288])).
% 51.32/33.81 tff(28290,plain,
% 51.32/33.81 (v1(sK0_VarCurr) <=> v1(constB104)),
% 51.32/33.81 inference(symmetry,[status(thm)],[28289])).
% 51.32/33.81 tff(28291,plain,
% 51.32/33.81 ((~v1(sK0_VarCurr)) <=> (~v1(constB104))),
% 51.32/33.81 inference(monotonicity,[status(thm)],[28290])).
% 51.32/33.81 tff(28292,plain,
% 51.32/33.81 (~v1(constB104)),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[25725, 28291])).
% 51.32/33.81 tff(28293,plain,
% 51.32/33.81 ($false),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[13892, 28292])).
% 51.32/33.81 tff(28294,plain,(~(constB104 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.32/33.81 tff(28295,assumption,(constB179 = sK0_VarCurr), introduced(assumption)).
% 51.32/33.81 tff(28296,plain,
% 51.32/33.81 (v162(constB179) <=> v162(sK0_VarCurr)),
% 51.32/33.81 inference(monotonicity,[status(thm)],[28295])).
% 51.32/33.81 tff(28297,plain,
% 51.32/33.81 (v162(sK0_VarCurr) <=> v162(constB179)),
% 51.32/33.81 inference(symmetry,[status(thm)],[28296])).
% 51.32/33.81 tff(28298,plain,
% 51.32/33.81 (v162(constB179)),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[13315, 28297])).
% 51.32/33.81 tff(28299,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB173)) | (~v84(constB173, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB173)) | (~v84(constB173, bitIndex2)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28300,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB173)) | (~v84(constB173, bitIndex2)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28301,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB173)) | (~v84(constB173, bitIndex2))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28300, 28299])).
% 51.32/33.81 tff(28302,plain,
% 51.32/33.81 (~v145(constB173)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28301, 4483, 21745])).
% 51.32/33.81 tff(28303,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB173) | (~v144(constB173)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB173) | (~v144(constB173)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28304,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB173) | (~v144(constB173)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28305,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB173) | (~v144(constB173))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28304, 28303])).
% 51.32/33.81 tff(28306,plain,
% 51.32/33.81 (~v144(constB173)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28305, 13439, 28302])).
% 51.32/33.81 tff(28307,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB173) | (~v142(constB173)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB173) | (~v142(constB173)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28308,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB173) | (~v142(constB173)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28309,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB173) | (~v142(constB173))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28308, 28307])).
% 51.32/33.81 tff(28310,plain,
% 51.32/33.81 (~v142(constB173)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28309, 13453, 28306])).
% 51.32/33.81 tff(28311,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB173)) | (~v140(constB173)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB173)) | (~v140(constB173)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28312,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB173)) | (~v140(constB173)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28313,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB173)) | (~v140(constB173))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28312, 28311])).
% 51.32/33.81 tff(28314,plain,
% 51.32/33.81 (~v138(constB173)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28313, 13495, 25931])).
% 51.32/33.81 tff(28315,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB173) | v142(constB173) | (~v135(constB173)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB173) | v142(constB173) | (~v135(constB173)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28316,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB173) | v142(constB173) | (~v135(constB173)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28317,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB173) | v142(constB173) | (~v135(constB173))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28316, 28315])).
% 51.32/33.81 tff(28318,plain,
% 51.32/33.81 (v142(constB173) | (~v135(constB173))),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28317, 13509, 28314])).
% 51.32/33.81 tff(28319,plain,
% 51.32/33.81 (~v135(constB173)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28318, 28310])).
% 51.32/33.81 tff(28320,plain,
% 51.32/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB173, constB174)) | v135(constB173) | (~v137(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB173, constB174)) | v135(constB173) | (~v137(constB174)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28321,plain,
% 51.32/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB173, constB174)) | v135(constB173) | (~v137(constB174)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28322,plain,
% 51.32/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB173, constB174)) | v135(constB173) | (~v137(constB174))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28321, 28320])).
% 51.32/33.81 tff(28323,plain,
% 51.32/33.81 (v135(constB173) | (~v137(constB174))),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28322, 13524, 21857])).
% 51.32/33.81 tff(28324,plain,
% 51.32/33.81 (~v137(constB174)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28323, 28319])).
% 51.32/33.81 tff(28325,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB174) | (~v138(constB174)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB174) | (~v138(constB174)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28326,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB174) | (~v138(constB174)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28327,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB174) | (~v138(constB174))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28326, 28325])).
% 51.32/33.81 tff(28328,plain,
% 51.32/33.81 (~v138(constB174)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28327, 13539, 28324])).
% 51.32/33.81 tff(28329,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB174) | (~v144(constB174)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB174) | (~v144(constB174)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28330,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB174) | (~v144(constB174)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28331,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB174) | (~v144(constB174))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28330, 28329])).
% 51.32/33.81 tff(28332,plain,
% 51.32/33.81 (~v144(constB174)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28331, 13567, 25953])).
% 51.32/33.81 tff(28333,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB174) | (~v142(constB174)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB174) | (~v142(constB174)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28334,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB174) | (~v142(constB174)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28335,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB174) | (~v142(constB174))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28334, 28333])).
% 51.32/33.81 tff(28336,plain,
% 51.32/33.81 (~v142(constB174)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28335, 13453, 28332])).
% 51.32/33.81 tff(28337,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB174) | v142(constB174) | (~v135(constB174)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB174) | v142(constB174) | (~v135(constB174)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28338,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB174) | v142(constB174) | (~v135(constB174)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28339,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB174) | v142(constB174) | (~v135(constB174))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28338, 28337])).
% 51.32/33.81 tff(28340,plain,
% 51.32/33.81 (v138(constB174) | (~v135(constB174))),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28339, 13509, 28336])).
% 51.32/33.81 tff(28341,plain,
% 51.32/33.81 (~v135(constB174)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28340, 28328])).
% 51.32/33.81 tff(28342,plain,
% 51.32/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB174, constB175)) | v135(constB174) | (~v137(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB174, constB175)) | v135(constB174) | (~v137(constB175)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28343,plain,
% 51.32/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB174, constB175)) | v135(constB174) | (~v137(constB175)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28344,plain,
% 51.32/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB174, constB175)) | v135(constB174) | (~v137(constB175))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28343, 28342])).
% 51.32/33.81 tff(28345,plain,
% 51.32/33.81 (v135(constB174) | (~v137(constB175))),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28344, 13524, 21919])).
% 51.32/33.81 tff(28346,plain,
% 51.32/33.81 (~v137(constB175)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28345, 28341])).
% 51.32/33.81 tff(28347,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB175) | (~v154(constB175)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB175) | (~v154(constB175)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28348,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB175) | (~v154(constB175)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28349,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB175) | (~v154(constB175))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28348, 28347])).
% 51.32/33.81 tff(28350,plain,
% 51.32/33.81 (~v154(constB175)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28349, 13595, 28346])).
% 51.32/33.81 tff(28351,assumption,(v18(constB176)), introduced(assumption)).
% 51.32/33.81 tff(28352,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB176))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28353,plain,
% 51.32/33.81 ($false),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28352, 13324, 28351])).
% 51.32/33.81 tff(28354,plain,(~v18(constB176)), inference(lemma,lemma(discharge,[]))).
% 51.32/33.81 tff(28355,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28356,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28357,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28356, 28355])).
% 51.32/33.81 tff(28358,plain,
% 51.32/33.81 (v22(constB176)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28357, 13337, 22052])).
% 51.32/33.81 tff(28359,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB176) | (~v22(constB176)) | (~v19(constB176)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB176) | (~v22(constB176)) | (~v19(constB176)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28360,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB176) | (~v22(constB176)) | (~v19(constB176)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28361,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB176) | (~v22(constB176)) | (~v19(constB176))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28360, 28359])).
% 51.32/33.81 tff(28362,plain,
% 51.32/33.81 (v18(constB176) | (~v19(constB176))),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28361, 13351, 28358])).
% 51.32/33.81 tff(28363,plain,
% 51.32/33.81 (~v19(constB176)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28362, 28354])).
% 51.32/33.81 tff(28364,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28365,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28366,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176)),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28365, 28364])).
% 51.32/33.81 tff(28367,plain,
% 51.32/33.81 (v13(constB176)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28366, 13363, 28363])).
% 51.32/33.81 tff(28368,plain,
% 51.32/33.81 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28369,plain,
% 51.32/33.81 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28370,plain,
% 51.32/33.81 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28369, 28368])).
% 51.32/33.81 tff(28371,plain,
% 51.32/33.81 (v9(constB175) | (~v13(constB176))),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28370, 13377, 22032])).
% 51.32/33.81 tff(28372,plain,
% 51.32/33.81 (v9(constB175)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28371, 28367])).
% 51.32/33.81 tff(28373,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v141(constB175))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB175) | (~v9(constB175)) | v141(constB175))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28374,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v141(constB175))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28375,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB175) | (~v9(constB175)) | v141(constB175)),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28374, 28373])).
% 51.32/33.81 tff(28376,plain,
% 51.32/33.81 ((~v9(constB175)) | v141(constB175)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28375, 13392, 21916])).
% 51.32/33.81 tff(28377,plain,
% 51.32/33.81 (v141(constB175)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28376, 28372])).
% 51.32/33.81 tff(28378,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB175) | (~v141(constB175)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB175) | (~v141(constB175)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28379,plain,
% 51.32/33.81 (((~v141(constB175)) | v140(constB175)) <=> (v140(constB175) | (~v141(constB175)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28380,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB175)) | v140(constB175))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB175) | (~v141(constB175))))),
% 51.32/33.81 inference(monotonicity,[status(thm)],[28379])).
% 51.32/33.81 tff(28381,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB175)) | v140(constB175))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB175) | (~v141(constB175)))),
% 51.32/33.81 inference(transitivity,[status(thm)],[28380, 28378])).
% 51.32/33.81 tff(28382,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB175)) | v140(constB175))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28383,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB175) | (~v141(constB175))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28382, 28381])).
% 51.32/33.81 tff(28384,plain,
% 51.32/33.81 (v140(constB175)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28383, 13404, 28377])).
% 51.32/33.81 tff(28385,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB175)) | (~v153(constB175)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB175)) | (~v153(constB175)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28386,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB175)) | (~v153(constB175)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28387,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB175)) | (~v153(constB175))),
% 51.32/33.81 inference(modus_ponens,[status(thm)],[28386, 28385])).
% 51.32/33.81 tff(28388,plain,
% 51.32/33.81 (~v153(constB175)),
% 51.32/33.81 inference(unit_resolution,[status(thm)],[28387, 13640, 28384])).
% 51.32/33.81 tff(28389,plain,
% 51.32/33.81 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB175) | v154(constB175) | (~v150(constB175)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB175) | v154(constB175) | (~v150(constB175)))),
% 51.32/33.81 inference(rewrite,[status(thm)],[])).
% 51.32/33.81 tff(28390,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB175) | v154(constB175) | (~v150(constB175)))),
% 51.32/33.81 inference(quant_inst,[status(thm)],[])).
% 51.32/33.81 tff(28391,plain,
% 51.32/33.81 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB175) | v154(constB175) | (~v150(constB175))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28390, 28389])).
% 51.32/33.82 tff(28392,plain,
% 51.32/33.82 (v154(constB175) | (~v150(constB175))),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28391, 13654, 28388])).
% 51.32/33.82 tff(28393,plain,
% 51.32/33.82 (~v150(constB175)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28392, 28350])).
% 51.32/33.82 tff(28394,plain,
% 51.32/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB175, constB176)) | v150(constB175) | (~v152(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB175, constB176)) | v150(constB175) | (~v152(constB176)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28395,plain,
% 51.32/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB175, constB176)) | v150(constB175) | (~v152(constB176)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28396,plain,
% 51.32/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB175, constB176)) | v150(constB175) | (~v152(constB176))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28395, 28394])).
% 51.32/33.82 tff(28397,plain,
% 51.32/33.82 (v150(constB175) | (~v152(constB176))),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28396, 13669, 22032])).
% 51.32/33.82 tff(28398,plain,
% 51.32/33.82 (~v152(constB176)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28397, 28393])).
% 51.32/33.82 tff(28399,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB176) | (~v153(constB176)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB176) | (~v153(constB176)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28400,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB176) | (~v153(constB176)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28401,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB176) | (~v153(constB176))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28400, 28399])).
% 51.32/33.82 tff(28402,plain,
% 51.32/33.82 (~v153(constB176)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28401, 13684, 28398])).
% 51.32/33.82 tff(28403,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB176)) | (~v141(constB176)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB176)) | (~v141(constB176)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28404,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB176)) | (~v141(constB176)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28405,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB176)) | (~v141(constB176))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28404, 28403])).
% 51.32/33.82 tff(28406,plain,
% 51.32/33.82 (~v141(constB176)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28405, 13553, 22052])).
% 51.32/33.82 tff(28407,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB176) | (~v155(constB176)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB176) | (~v155(constB176)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28408,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB176) | (~v155(constB176)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28409,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB176) | (~v155(constB176))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28408, 28407])).
% 51.32/33.82 tff(28410,plain,
% 51.32/33.82 (~v155(constB176)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28409, 13702, 28406])).
% 51.32/33.82 tff(28411,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB176) | (~v154(constB176)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB176) | (~v154(constB176)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28412,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB176) | (~v154(constB176)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28413,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB176) | (~v154(constB176))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28412, 28411])).
% 51.32/33.82 tff(28414,plain,
% 51.32/33.82 (~v154(constB176)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28413, 13716, 28410])).
% 51.32/33.82 tff(28415,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB176) | v154(constB176) | (~v150(constB176)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB176) | v154(constB176) | (~v150(constB176)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28416,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB176) | v154(constB176) | (~v150(constB176)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28417,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB176) | v154(constB176) | (~v150(constB176))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28416, 28415])).
% 51.32/33.82 tff(28418,plain,
% 51.32/33.82 (v153(constB176) | (~v150(constB176))),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28417, 13654, 28414])).
% 51.32/33.82 tff(28419,plain,
% 51.32/33.82 (~v150(constB176)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28418, 28402])).
% 51.32/33.82 tff(28420,plain,
% 51.32/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB176, constB177)) | v150(constB176) | (~v152(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB176, constB177)) | v150(constB176) | (~v152(constB177)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28421,plain,
% 51.32/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB176, constB177)) | v150(constB176) | (~v152(constB177)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28422,plain,
% 51.32/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB176, constB177)) | v150(constB176) | (~v152(constB177))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28421, 28420])).
% 51.32/33.82 tff(28423,plain,
% 51.32/33.82 (v150(constB176) | (~v152(constB177))),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28422, 13669, 22303])).
% 51.32/33.82 tff(28424,plain,
% 51.32/33.82 (~v152(constB177)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28423, 28419])).
% 51.32/33.82 tff(28425,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB177) | (~v164(constB177)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB177) | (~v164(constB177)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28426,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB177) | (~v164(constB177)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28427,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB177) | (~v164(constB177))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28426, 28425])).
% 51.32/33.82 tff(28428,plain,
% 51.32/33.82 (~v164(constB177)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28427, 13740, 28424])).
% 51.32/33.82 tff(28429,assumption,(v18(constB178)), introduced(assumption)).
% 51.32/33.82 tff(28430,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB178))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28431,plain,
% 51.32/33.82 ($false),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28430, 13324, 28429])).
% 51.32/33.82 tff(28432,plain,(~v18(constB178)), inference(lemma,lemma(discharge,[]))).
% 51.32/33.82 tff(28433,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28434,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28435,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28434, 28433])).
% 51.32/33.82 tff(28436,plain,
% 51.32/33.82 (v22(constB178)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28435, 13337, 22473])).
% 51.32/33.82 tff(28437,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB178) | (~v22(constB178)) | (~v19(constB178)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB178) | (~v22(constB178)) | (~v19(constB178)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28438,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB178) | (~v22(constB178)) | (~v19(constB178)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28439,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB178) | (~v22(constB178)) | (~v19(constB178))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28438, 28437])).
% 51.32/33.82 tff(28440,plain,
% 51.32/33.82 (v18(constB178) | (~v19(constB178))),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28439, 13351, 28436])).
% 51.32/33.82 tff(28441,plain,
% 51.32/33.82 (~v19(constB178)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28440, 28432])).
% 51.32/33.82 tff(28442,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28443,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28444,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178)),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28443, 28442])).
% 51.32/33.82 tff(28445,plain,
% 51.32/33.82 (v13(constB178)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28444, 13363, 28441])).
% 51.32/33.82 tff(28446,plain,
% 51.32/33.82 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28447,plain,
% 51.32/33.82 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28448,plain,
% 51.32/33.82 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28447, 28446])).
% 51.32/33.82 tff(28449,plain,
% 51.32/33.82 (v9(constB177) | (~v13(constB178))),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28448, 13377, 22453])).
% 51.32/33.82 tff(28450,plain,
% 51.32/33.82 (v9(constB177)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28449, 28445])).
% 51.32/33.82 tff(28451,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v141(constB177))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB177) | (~v9(constB177)) | v141(constB177))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28452,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v141(constB177))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28453,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB177) | (~v9(constB177)) | v141(constB177)),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28452, 28451])).
% 51.32/33.82 tff(28454,plain,
% 51.32/33.82 ((~v9(constB177)) | v141(constB177)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28453, 13392, 22300])).
% 51.32/33.82 tff(28455,plain,
% 51.32/33.82 (v141(constB177)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28454, 28450])).
% 51.32/33.82 tff(28456,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB177)) | v140(constB177))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB177)) | v140(constB177))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28457,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB177)) | v140(constB177))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28458,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB177)) | v140(constB177)),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28457, 28456])).
% 51.32/33.82 tff(28459,plain,
% 51.32/33.82 (v140(constB177)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28458, 13404, 28455])).
% 51.32/33.82 tff(28460,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB177)) | (~v163(constB177)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB177)) | (~v163(constB177)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28461,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB177)) | (~v163(constB177)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28462,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB177)) | (~v163(constB177))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28461, 28460])).
% 51.32/33.82 tff(28463,plain,
% 51.32/33.82 (~v163(constB177)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28462, 13421, 28459])).
% 51.32/33.82 tff(28464,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB177) | v164(constB177) | (~v160(constB177)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB177) | v164(constB177) | (~v160(constB177)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28465,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB177) | v164(constB177) | (~v160(constB177)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28466,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB177) | v164(constB177) | (~v160(constB177))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28465, 28464])).
% 51.32/33.82 tff(28467,plain,
% 51.32/33.82 (v164(constB177) | (~v160(constB177))),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28466, 13754, 28463])).
% 51.32/33.82 tff(28468,plain,
% 51.32/33.82 (~v160(constB177)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28467, 28428])).
% 51.32/33.82 tff(28469,plain,
% 51.32/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB177, constB178)) | v160(constB177) | (~v162(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB177, constB178)) | v160(constB177) | (~v162(constB178)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28470,plain,
% 51.32/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB177, constB178)) | v160(constB177) | (~v162(constB178)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28471,plain,
% 51.32/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB177, constB178)) | v160(constB177) | (~v162(constB178))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28470, 28469])).
% 51.32/33.82 tff(28472,plain,
% 51.32/33.82 (v160(constB177) | (~v162(constB178))),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28471, 13769, 22453])).
% 51.32/33.82 tff(28473,plain,
% 51.32/33.82 (~v162(constB178)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28472, 28468])).
% 51.32/33.82 tff(28474,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB178) | (~v163(constB178)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB178) | (~v163(constB178)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28475,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB178) | (~v163(constB178)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28476,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB178) | (~v163(constB178))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28475, 28474])).
% 51.32/33.82 tff(28477,plain,
% 51.32/33.82 (~v163(constB178)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28476, 13784, 28473])).
% 51.32/33.82 tff(28478,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB178)) | (~v141(constB178)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB178)) | (~v141(constB178)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28479,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB178)) | (~v141(constB178)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28480,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB178)) | (~v141(constB178))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28479, 28478])).
% 51.32/33.82 tff(28481,plain,
% 51.32/33.82 (~v141(constB178)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28480, 13553, 22473])).
% 51.32/33.82 tff(28482,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB178) | (~v155(constB178)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB178) | (~v155(constB178)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28483,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB178) | (~v155(constB178)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28484,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB178) | (~v155(constB178))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28483, 28482])).
% 51.32/33.82 tff(28485,plain,
% 51.32/33.82 (~v155(constB178)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28484, 13702, 28481])).
% 51.32/33.82 tff(28486,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB178) | (~v164(constB178)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB178) | (~v164(constB178)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28487,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB178) | (~v164(constB178)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28488,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB178) | (~v164(constB178))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28487, 28486])).
% 51.32/33.82 tff(28489,plain,
% 51.32/33.82 (~v164(constB178)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28488, 13806, 28485])).
% 51.32/33.82 tff(28490,plain,
% 51.32/33.82 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB178) | v164(constB178) | (~v160(constB178)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB178) | v164(constB178) | (~v160(constB178)))),
% 51.32/33.82 inference(rewrite,[status(thm)],[])).
% 51.32/33.82 tff(28491,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB178) | v164(constB178) | (~v160(constB178)))),
% 51.32/33.82 inference(quant_inst,[status(thm)],[])).
% 51.32/33.82 tff(28492,plain,
% 51.32/33.82 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB178) | v164(constB178) | (~v160(constB178))),
% 51.32/33.82 inference(modus_ponens,[status(thm)],[28491, 28490])).
% 51.32/33.82 tff(28493,plain,
% 51.32/33.82 (v163(constB178) | (~v160(constB178))),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28492, 13754, 28489])).
% 51.32/33.82 tff(28494,plain,
% 51.32/33.82 (~v160(constB178)),
% 51.32/33.82 inference(unit_resolution,[status(thm)],[28493, 28477])).
% 51.32/33.82 tff(28495,plain,
% 51.32/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB178, constB179)) | v160(constB178) | (~v162(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB178, constB179)) | v160(constB178) | (~v162(constB179)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28496,plain,
% 51.32/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB178, constB179)) | v160(constB178) | (~v162(constB179)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28497,plain,
% 51.32/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB178, constB179)) | v160(constB178) | (~v162(constB179))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28496, 28495])).
% 51.32/33.83 tff(28498,plain,
% 51.32/33.83 (v160(constB178) | (~v162(constB179))),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28497, 13769, 22515])).
% 51.32/33.83 tff(28499,plain,
% 51.32/33.83 (~v162(constB179)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28498, 28494])).
% 51.32/33.83 tff(28500,plain,
% 51.32/33.83 ($false),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28499, 28298])).
% 51.32/33.83 tff(28501,plain,(~(constB179 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.32/33.83 tff(28502,assumption,(constB165 = sK0_VarCurr), introduced(assumption)).
% 51.32/33.83 tff(28503,plain,
% 51.32/33.83 (v162(constB165) <=> v162(sK0_VarCurr)),
% 51.32/33.83 inference(monotonicity,[status(thm)],[28502])).
% 51.32/33.83 tff(28504,plain,
% 51.32/33.83 (v162(sK0_VarCurr) <=> v162(constB165)),
% 51.32/33.83 inference(symmetry,[status(thm)],[28503])).
% 51.32/33.83 tff(28505,plain,
% 51.32/33.83 (v162(constB165)),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[13315, 28504])).
% 51.32/33.83 tff(28506,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB159)) | (~v84(constB159, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB159)) | (~v84(constB159, bitIndex1)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28507,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB159)) | (~v84(constB159, bitIndex1)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28508,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB159)) | (~v84(constB159, bitIndex1))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28507, 28506])).
% 51.32/33.83 tff(28509,plain,
% 51.32/33.83 (~v145(constB159)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28508, 1091, 20161])).
% 51.32/33.83 tff(28510,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB159) | (~v144(constB159)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB159) | (~v144(constB159)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28511,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB159) | (~v144(constB159)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28512,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB159) | (~v144(constB159))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28511, 28510])).
% 51.32/33.83 tff(28513,plain,
% 51.32/33.83 (~v144(constB159)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28512, 13439, 28509])).
% 51.32/33.83 tff(28514,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB159) | (~v142(constB159)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB159) | (~v142(constB159)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28515,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB159) | (~v142(constB159)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28516,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB159) | (~v142(constB159))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28515, 28514])).
% 51.32/33.83 tff(28517,plain,
% 51.32/33.83 (~v142(constB159)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28516, 13453, 28513])).
% 51.32/33.83 tff(28518,assumption,(v18(constB160)), introduced(assumption)).
% 51.32/33.83 tff(28519,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB160))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28520,plain,
% 51.32/33.83 ($false),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28519, 13324, 28518])).
% 51.32/33.83 tff(28521,plain,(~v18(constB160)), inference(lemma,lemma(discharge,[]))).
% 51.32/33.83 tff(28522,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28523,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28524,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28523, 28522])).
% 51.32/33.83 tff(28525,plain,
% 51.32/33.83 (v22(constB160)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28524, 13337, 20373])).
% 51.32/33.83 tff(28526,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB160) | (~v22(constB160)) | (~v19(constB160)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB160) | (~v22(constB160)) | (~v19(constB160)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28527,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB160) | (~v22(constB160)) | (~v19(constB160)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28528,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB160) | (~v22(constB160)) | (~v19(constB160))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28527, 28526])).
% 51.32/33.83 tff(28529,plain,
% 51.32/33.83 (v18(constB160) | (~v19(constB160))),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28528, 13351, 28525])).
% 51.32/33.83 tff(28530,plain,
% 51.32/33.83 (~v19(constB160)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28529, 28521])).
% 51.32/33.83 tff(28531,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28532,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28533,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160)),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28532, 28531])).
% 51.32/33.83 tff(28534,plain,
% 51.32/33.83 (v13(constB160)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28533, 13363, 28530])).
% 51.32/33.83 tff(28535,plain,
% 51.32/33.83 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB159) | (~v13(constB160)) | (~nextState(constB159, constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB159) | (~v13(constB160)) | (~nextState(constB159, constB160)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28536,plain,
% 51.32/33.83 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB159) | (~v13(constB160)) | (~nextState(constB159, constB160)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28537,plain,
% 51.32/33.83 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB159) | (~v13(constB160)) | (~nextState(constB159, constB160))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28536, 28535])).
% 51.32/33.83 tff(28538,plain,
% 51.32/33.83 (v9(constB159) | (~v13(constB160))),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28537, 13377, 20218])).
% 51.32/33.83 tff(28539,plain,
% 51.32/33.83 (v9(constB159)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28538, 28534])).
% 51.32/33.83 tff(28540,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v141(constB159))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB159) | (~v9(constB159)) | v141(constB159))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28541,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v141(constB159))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28542,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB159) | (~v9(constB159)) | v141(constB159)),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28541, 28540])).
% 51.32/33.83 tff(28543,plain,
% 51.32/33.83 ((~v9(constB159)) | v141(constB159)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28542, 13392, 20106])).
% 51.32/33.83 tff(28544,plain,
% 51.32/33.83 (v141(constB159)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28543, 28539])).
% 51.32/33.83 tff(28545,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB159)) | v140(constB159))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB159)) | v140(constB159))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28546,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB159)) | v140(constB159))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28547,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB159)) | v140(constB159)),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28546, 28545])).
% 51.32/33.83 tff(28548,plain,
% 51.32/33.83 (v140(constB159)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28547, 13404, 28544])).
% 51.32/33.83 tff(28549,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB159)) | (~v140(constB159)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB159)) | (~v140(constB159)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28550,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB159)) | (~v140(constB159)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28551,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB159)) | (~v140(constB159))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28550, 28549])).
% 51.32/33.83 tff(28552,plain,
% 51.32/33.83 (~v138(constB159)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28551, 13495, 28548])).
% 51.32/33.83 tff(28553,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB159) | v142(constB159) | (~v135(constB159)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB159) | v142(constB159) | (~v135(constB159)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28554,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB159) | v142(constB159) | (~v135(constB159)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28555,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB159) | v142(constB159) | (~v135(constB159))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28554, 28553])).
% 51.32/33.83 tff(28556,plain,
% 51.32/33.83 (v142(constB159) | (~v135(constB159))),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28555, 13509, 28552])).
% 51.32/33.83 tff(28557,plain,
% 51.32/33.83 (~v135(constB159)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28556, 28517])).
% 51.32/33.83 tff(28558,plain,
% 51.32/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB159, constB160)) | v135(constB159) | (~v137(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB159, constB160)) | v135(constB159) | (~v137(constB160)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28559,plain,
% 51.32/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB159, constB160)) | v135(constB159) | (~v137(constB160)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28560,plain,
% 51.32/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB159, constB160)) | v135(constB159) | (~v137(constB160))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28559, 28558])).
% 51.32/33.83 tff(28561,plain,
% 51.32/33.83 (v135(constB159) | (~v137(constB160))),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28560, 13524, 20218])).
% 51.32/33.83 tff(28562,plain,
% 51.32/33.83 (~v137(constB160)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28561, 28557])).
% 51.32/33.83 tff(28563,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB160) | (~v138(constB160)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB160) | (~v138(constB160)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28564,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB160) | (~v138(constB160)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28565,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB160) | (~v138(constB160))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28564, 28563])).
% 51.32/33.83 tff(28566,plain,
% 51.32/33.83 (~v138(constB160)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28565, 13539, 28562])).
% 51.32/33.83 tff(28567,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB160)) | (~v141(constB160)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB160)) | (~v141(constB160)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28568,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB160)) | (~v141(constB160)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28569,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB160)) | (~v141(constB160))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28568, 28567])).
% 51.32/33.83 tff(28570,plain,
% 51.32/33.83 (~v141(constB160)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28569, 13553, 20373])).
% 51.32/33.83 tff(28571,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB160) | (~v144(constB160)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB160) | (~v144(constB160)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28572,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB160) | (~v144(constB160)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28573,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB160) | (~v144(constB160))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28572, 28571])).
% 51.32/33.83 tff(28574,plain,
% 51.32/33.83 (~v144(constB160)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28573, 13567, 28570])).
% 51.32/33.83 tff(28575,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB160) | (~v142(constB160)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB160) | (~v142(constB160)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28576,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB160) | (~v142(constB160)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28577,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB160) | (~v142(constB160))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28576, 28575])).
% 51.32/33.83 tff(28578,plain,
% 51.32/33.83 (~v142(constB160)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28577, 13453, 28574])).
% 51.32/33.83 tff(28579,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB160) | v142(constB160) | (~v135(constB160)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB160) | v142(constB160) | (~v135(constB160)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28580,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB160) | v142(constB160) | (~v135(constB160)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28581,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB160) | v142(constB160) | (~v135(constB160))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28580, 28579])).
% 51.32/33.83 tff(28582,plain,
% 51.32/33.83 (v138(constB160) | (~v135(constB160))),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28581, 13509, 28578])).
% 51.32/33.83 tff(28583,plain,
% 51.32/33.83 (~v135(constB160)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28582, 28566])).
% 51.32/33.83 tff(28584,plain,
% 51.32/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB160, constB161)) | v135(constB160) | (~v137(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB160, constB161)) | v135(constB160) | (~v137(constB161)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28585,plain,
% 51.32/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB160, constB161)) | v135(constB160) | (~v137(constB161)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28586,plain,
% 51.32/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB160, constB161)) | v135(constB160) | (~v137(constB161))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28585, 28584])).
% 51.32/33.83 tff(28587,plain,
% 51.32/33.83 (v135(constB160) | (~v137(constB161))),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28586, 13524, 20543])).
% 51.32/33.83 tff(28588,plain,
% 51.32/33.83 (~v137(constB161)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28587, 28583])).
% 51.32/33.83 tff(28589,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB161) | (~v154(constB161)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB161) | (~v154(constB161)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28590,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB161) | (~v154(constB161)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28591,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB161) | (~v154(constB161))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28590, 28589])).
% 51.32/33.83 tff(28592,plain,
% 51.32/33.83 (~v154(constB161)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28591, 13595, 28588])).
% 51.32/33.83 tff(28593,assumption,(v18(constB162)), introduced(assumption)).
% 51.32/33.83 tff(28594,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB162))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28595,plain,
% 51.32/33.83 ($false),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28594, 13324, 28593])).
% 51.32/33.83 tff(28596,plain,(~v18(constB162)), inference(lemma,lemma(discharge,[]))).
% 51.32/33.83 tff(28597,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28598,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28599,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28598, 28597])).
% 51.32/33.83 tff(28600,plain,
% 51.32/33.83 (v22(constB162)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28599, 13337, 20666])).
% 51.32/33.83 tff(28601,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB162) | (~v22(constB162)) | (~v19(constB162)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB162) | (~v22(constB162)) | (~v19(constB162)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28602,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB162) | (~v22(constB162)) | (~v19(constB162)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28603,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB162) | (~v22(constB162)) | (~v19(constB162))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28602, 28601])).
% 51.32/33.83 tff(28604,plain,
% 51.32/33.83 (v18(constB162) | (~v19(constB162))),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28603, 13351, 28600])).
% 51.32/33.83 tff(28605,plain,
% 51.32/33.83 (~v19(constB162)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28604, 28596])).
% 51.32/33.83 tff(28606,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28607,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28608,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162)),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28607, 28606])).
% 51.32/33.83 tff(28609,plain,
% 51.32/33.83 (v13(constB162)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28608, 13363, 28605])).
% 51.32/33.83 tff(28610,plain,
% 51.32/33.83 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28611,plain,
% 51.32/33.83 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28612,plain,
% 51.32/33.83 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162))),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28611, 28610])).
% 51.32/33.83 tff(28613,plain,
% 51.32/33.83 (v9(constB161) | (~v13(constB162))),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28612, 13377, 20646])).
% 51.32/33.83 tff(28614,plain,
% 51.32/33.83 (v9(constB161)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28613, 28609])).
% 51.32/33.83 tff(28615,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v141(constB161))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB161) | (~v9(constB161)) | v141(constB161))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28616,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v141(constB161))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28617,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB161) | (~v9(constB161)) | v141(constB161)),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28616, 28615])).
% 51.32/33.83 tff(28618,plain,
% 51.32/33.83 ((~v9(constB161)) | v141(constB161)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28617, 13392, 20540])).
% 51.32/33.83 tff(28619,plain,
% 51.32/33.83 (v141(constB161)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28618, 28614])).
% 51.32/33.83 tff(28620,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB161)) | v140(constB161))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB161)) | v140(constB161))),
% 51.32/33.83 inference(rewrite,[status(thm)],[])).
% 51.32/33.83 tff(28621,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB161)) | v140(constB161))),
% 51.32/33.83 inference(quant_inst,[status(thm)],[])).
% 51.32/33.83 tff(28622,plain,
% 51.32/33.83 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB161)) | v140(constB161)),
% 51.32/33.83 inference(modus_ponens,[status(thm)],[28621, 28620])).
% 51.32/33.83 tff(28623,plain,
% 51.32/33.83 (v140(constB161)),
% 51.32/33.83 inference(unit_resolution,[status(thm)],[28622, 13404, 28619])).
% 51.32/33.83 tff(28624,plain,
% 51.32/33.83 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB161)) | (~v153(constB161)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB161)) | (~v153(constB161)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28625,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB161)) | (~v153(constB161)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28626,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB161)) | (~v153(constB161))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28625, 28624])).
% 51.32/33.84 tff(28627,plain,
% 51.32/33.84 (~v153(constB161)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28626, 13640, 28623])).
% 51.32/33.84 tff(28628,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB161) | v154(constB161) | (~v150(constB161)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB161) | v154(constB161) | (~v150(constB161)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28629,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB161) | v154(constB161) | (~v150(constB161)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28630,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB161) | v154(constB161) | (~v150(constB161))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28629, 28628])).
% 51.32/33.84 tff(28631,plain,
% 51.32/33.84 (v154(constB161) | (~v150(constB161))),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28630, 13654, 28627])).
% 51.32/33.84 tff(28632,plain,
% 51.32/33.84 (~v150(constB161)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28631, 28592])).
% 51.32/33.84 tff(28633,plain,
% 51.32/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB161, constB162)) | v150(constB161) | (~v152(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB161, constB162)) | v150(constB161) | (~v152(constB162)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28634,plain,
% 51.32/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB161, constB162)) | v150(constB161) | (~v152(constB162)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28635,plain,
% 51.32/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB161, constB162)) | v150(constB161) | (~v152(constB162))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28634, 28633])).
% 51.32/33.84 tff(28636,plain,
% 51.32/33.84 (v150(constB161) | (~v152(constB162))),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28635, 13669, 20646])).
% 51.32/33.84 tff(28637,plain,
% 51.32/33.84 (~v152(constB162)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28636, 28632])).
% 51.32/33.84 tff(28638,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB162) | (~v153(constB162)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB162) | (~v153(constB162)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28639,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB162) | (~v153(constB162)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28640,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB162) | (~v153(constB162))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28639, 28638])).
% 51.32/33.84 tff(28641,plain,
% 51.32/33.84 (~v153(constB162)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28640, 13684, 28637])).
% 51.32/33.84 tff(28642,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB162)) | (~v141(constB162)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB162)) | (~v141(constB162)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28643,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB162)) | (~v141(constB162)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28644,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB162)) | (~v141(constB162))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28643, 28642])).
% 51.32/33.84 tff(28645,plain,
% 51.32/33.84 (~v141(constB162)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28644, 13553, 20666])).
% 51.32/33.84 tff(28646,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB162) | (~v155(constB162)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB162) | (~v155(constB162)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28647,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB162) | (~v155(constB162)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28648,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB162) | (~v155(constB162))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28647, 28646])).
% 51.32/33.84 tff(28649,plain,
% 51.32/33.84 (~v155(constB162)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28648, 13702, 28645])).
% 51.32/33.84 tff(28650,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB162) | (~v154(constB162)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB162) | (~v154(constB162)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28651,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB162) | (~v154(constB162)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28652,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB162) | (~v154(constB162))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28651, 28650])).
% 51.32/33.84 tff(28653,plain,
% 51.32/33.84 (~v154(constB162)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28652, 13716, 28649])).
% 51.32/33.84 tff(28654,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB162) | v154(constB162) | (~v150(constB162)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB162) | v154(constB162) | (~v150(constB162)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28655,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB162) | v154(constB162) | (~v150(constB162)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28656,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB162) | v154(constB162) | (~v150(constB162))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28655, 28654])).
% 51.32/33.84 tff(28657,plain,
% 51.32/33.84 (v153(constB162) | (~v150(constB162))),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28656, 13654, 28653])).
% 51.32/33.84 tff(28658,plain,
% 51.32/33.84 (~v150(constB162)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28657, 28641])).
% 51.32/33.84 tff(28659,plain,
% 51.32/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB162, constB163)) | v150(constB162) | (~v152(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB162, constB163)) | v150(constB162) | (~v152(constB163)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28660,plain,
% 51.32/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB162, constB163)) | v150(constB162) | (~v152(constB163)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28661,plain,
% 51.32/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB162, constB163)) | v150(constB162) | (~v152(constB163))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28660, 28659])).
% 51.32/33.84 tff(28662,plain,
% 51.32/33.84 (v150(constB162) | (~v152(constB163))),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28661, 13669, 20708])).
% 51.32/33.84 tff(28663,plain,
% 51.32/33.84 (~v152(constB163)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28662, 28658])).
% 51.32/33.84 tff(28664,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB163) | (~v164(constB163)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB163) | (~v164(constB163)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28665,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB163) | (~v164(constB163)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28666,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB163) | (~v164(constB163))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28665, 28664])).
% 51.32/33.84 tff(28667,plain,
% 51.32/33.84 (~v164(constB163)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28666, 13740, 28663])).
% 51.32/33.84 tff(28668,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB163)) | (~v163(constB163)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB163)) | (~v163(constB163)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28669,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB163)) | (~v163(constB163)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28670,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB163)) | (~v163(constB163))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28669, 28668])).
% 51.32/33.84 tff(28671,plain,
% 51.32/33.84 (~v163(constB163)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28670, 13421, 27826])).
% 51.32/33.84 tff(28672,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB163) | v164(constB163) | (~v160(constB163)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB163) | v164(constB163) | (~v160(constB163)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28673,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB163) | v164(constB163) | (~v160(constB163)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28674,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB163) | v164(constB163) | (~v160(constB163))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28673, 28672])).
% 51.32/33.84 tff(28675,plain,
% 51.32/33.84 (v164(constB163) | (~v160(constB163))),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28674, 13754, 28671])).
% 51.32/33.84 tff(28676,plain,
% 51.32/33.84 (~v160(constB163)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28675, 28667])).
% 51.32/33.84 tff(28677,plain,
% 51.32/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB163, constB164)) | v160(constB163) | (~v162(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB163, constB164)) | v160(constB163) | (~v162(constB164)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28678,plain,
% 51.32/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB163, constB164)) | v160(constB163) | (~v162(constB164)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28679,plain,
% 51.32/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB163, constB164)) | v160(constB163) | (~v162(constB164))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28678, 28677])).
% 51.32/33.84 tff(28680,plain,
% 51.32/33.84 (v160(constB163) | (~v162(constB164))),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28679, 13769, 20849])).
% 51.32/33.84 tff(28681,plain,
% 51.32/33.84 (~v162(constB164)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28680, 28676])).
% 51.32/33.84 tff(28682,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB164) | (~v163(constB164)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB164) | (~v163(constB164)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28683,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB164) | (~v163(constB164)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28684,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB164) | (~v163(constB164))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28683, 28682])).
% 51.32/33.84 tff(28685,plain,
% 51.32/33.84 (~v163(constB164)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28684, 13784, 28681])).
% 51.32/33.84 tff(28686,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB164) | (~v155(constB164)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB164) | (~v155(constB164)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28687,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB164) | (~v155(constB164)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28688,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB164) | (~v155(constB164))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28687, 28686])).
% 51.32/33.84 tff(28689,plain,
% 51.32/33.84 (~v155(constB164)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28688, 13702, 27848])).
% 51.32/33.84 tff(28690,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB164) | (~v164(constB164)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB164) | (~v164(constB164)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28691,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB164) | (~v164(constB164)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28692,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB164) | (~v164(constB164))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28691, 28690])).
% 51.32/33.84 tff(28693,plain,
% 51.32/33.84 (~v164(constB164)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28692, 13806, 28689])).
% 51.32/33.84 tff(28694,plain,
% 51.32/33.84 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB164) | v164(constB164) | (~v160(constB164)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB164) | v164(constB164) | (~v160(constB164)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28695,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB164) | v164(constB164) | (~v160(constB164)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28696,plain,
% 51.32/33.84 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB164) | v164(constB164) | (~v160(constB164))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28695, 28694])).
% 51.32/33.84 tff(28697,plain,
% 51.32/33.84 (v163(constB164) | (~v160(constB164))),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28696, 13754, 28693])).
% 51.32/33.84 tff(28698,plain,
% 51.32/33.84 (~v160(constB164)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28697, 28685])).
% 51.32/33.84 tff(28699,plain,
% 51.32/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB164, constB165)) | v160(constB164) | (~v162(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB164, constB165)) | v160(constB164) | (~v162(constB165)))),
% 51.32/33.84 inference(rewrite,[status(thm)],[])).
% 51.32/33.84 tff(28700,plain,
% 51.32/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB164, constB165)) | v160(constB164) | (~v162(constB165)))),
% 51.32/33.84 inference(quant_inst,[status(thm)],[])).
% 51.32/33.84 tff(28701,plain,
% 51.32/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB164, constB165)) | v160(constB164) | (~v162(constB165))),
% 51.32/33.84 inference(modus_ponens,[status(thm)],[28700, 28699])).
% 51.32/33.84 tff(28702,plain,
% 51.32/33.84 (v160(constB164) | (~v162(constB165))),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28701, 13769, 20911])).
% 51.32/33.84 tff(28703,plain,
% 51.32/33.84 (~v162(constB165)),
% 51.32/33.84 inference(unit_resolution,[status(thm)],[28702, 28698])).
% 51.32/33.85 tff(28704,plain,
% 51.32/33.85 ($false),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28703, 28505])).
% 51.32/33.85 tff(28705,plain,(~(constB165 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.32/33.85 tff(28706,assumption,(constB47 = sK0_VarCurr), introduced(assumption)).
% 51.32/33.85 tff(28707,plain,
% 51.32/33.85 (v162(constB47) <=> v162(sK0_VarCurr)),
% 51.32/33.85 inference(monotonicity,[status(thm)],[28706])).
% 51.32/33.85 tff(28708,plain,
% 51.32/33.85 (v162(sK0_VarCurr) <=> v162(constB47)),
% 51.32/33.85 inference(symmetry,[status(thm)],[28707])).
% 51.32/33.85 tff(28709,plain,
% 51.32/33.85 (v162(constB47)),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[13315, 28708])).
% 51.32/33.85 tff(28710,assumption,(v145(constB41)), introduced(assumption)).
% 51.32/33.85 tff(28711,plain,
% 51.32/33.85 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB41)) | (~v84(constB41, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB41)) | (~v84(constB41, bitIndex1)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28712,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB41)) | (~v84(constB41, bitIndex1)))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28713,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB41)) | (~v84(constB41, bitIndex1))),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28712, 28711])).
% 51.32/33.85 tff(28714,plain,
% 51.32/33.85 (~v84(constB41, bitIndex1)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28713, 1091, 28710])).
% 51.32/33.85 tff(28715,plain,
% 51.32/33.85 (~v84(constB40, bitIndex1)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[6243, 28714])).
% 51.32/33.85 tff(28716,plain,
% 51.32/33.85 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB41)) | v84(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB41)) | v84(constB41, bitIndex0))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28717,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB41)) | v84(constB41, bitIndex0))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28718,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB41)) | v84(constB41, bitIndex0)),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28717, 28716])).
% 51.32/33.85 tff(28719,plain,
% 51.32/33.85 (v84(constB41, bitIndex0)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28718, 3162, 28710])).
% 51.32/33.85 tff(28720,plain,
% 51.32/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28721,plain,
% 51.32/33.85 (((~nextState(constB40, constB41)) | v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0))) <=> (v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28722,plain,
% 51.32/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0))))),
% 51.32/33.85 inference(monotonicity,[status(thm)],[28721])).
% 51.32/33.85 tff(28723,plain,
% 51.32/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0)))),
% 51.32/33.85 inference(transitivity,[status(thm)],[28722, 28720])).
% 51.32/33.85 tff(28724,plain,
% 51.32/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0)))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28725,plain,
% 51.32/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0))),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28724, 28723])).
% 51.32/33.85 tff(28726,plain,
% 51.32/33.85 (v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0))),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28725, 184, 6192])).
% 51.32/33.85 tff(28727,plain,
% 51.32/33.85 (v84(constB40, bitIndex0) | (~v84(constB41, bitIndex0))),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28726, 6204])).
% 51.32/33.85 tff(28728,plain,
% 51.32/33.85 (v84(constB40, bitIndex0)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28727, 28719])).
% 51.32/33.85 tff(28729,plain,
% 51.32/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB39, bitIndex0) | (~nextState(constB39, constB40)) | v94(constB40) | (~v84(constB40, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB39, bitIndex0) | (~nextState(constB39, constB40)) | v94(constB40) | (~v84(constB40, bitIndex0)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28730,plain,
% 51.32/33.85 (((~nextState(constB39, constB40)) | v84(constB39, bitIndex0) | v94(constB40) | (~v84(constB40, bitIndex0))) <=> (v84(constB39, bitIndex0) | (~nextState(constB39, constB40)) | v94(constB40) | (~v84(constB40, bitIndex0)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28731,plain,
% 51.32/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v84(constB39, bitIndex0) | v94(constB40) | (~v84(constB40, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB39, bitIndex0) | (~nextState(constB39, constB40)) | v94(constB40) | (~v84(constB40, bitIndex0))))),
% 51.32/33.85 inference(monotonicity,[status(thm)],[28730])).
% 51.32/33.85 tff(28732,plain,
% 51.32/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v84(constB39, bitIndex0) | v94(constB40) | (~v84(constB40, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB39, bitIndex0) | (~nextState(constB39, constB40)) | v94(constB40) | (~v84(constB40, bitIndex0)))),
% 51.32/33.85 inference(transitivity,[status(thm)],[28731, 28729])).
% 51.32/33.85 tff(28733,plain,
% 51.32/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v84(constB39, bitIndex0) | v94(constB40) | (~v84(constB40, bitIndex0)))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28734,plain,
% 51.32/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB39, bitIndex0) | (~nextState(constB39, constB40)) | v94(constB40) | (~v84(constB40, bitIndex0))),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28733, 28732])).
% 51.32/33.85 tff(28735,plain,
% 51.32/33.85 (v84(constB39, bitIndex0) | v94(constB40) | (~v84(constB40, bitIndex0))),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28734, 184, 6130])).
% 51.32/33.85 tff(28736,plain,
% 51.32/33.85 (v94(constB40) | (~v84(constB40, bitIndex0))),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28735, 6082])).
% 51.32/33.85 tff(28737,plain,
% 51.32/33.85 (v94(constB40)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28736, 28728])).
% 51.32/33.85 tff(28738,plain,
% 51.32/33.85 (~v123(constB40, bitIndex1)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[6233, 887, 28737, 28715])).
% 51.32/33.85 tff(28739,plain,
% 51.32/33.85 (~v121(constB39, bitIndex1)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[6226, 28738])).
% 51.32/33.85 tff(28740,plain,
% 51.32/33.85 (v26(constB39)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[6221, 28739])).
% 51.32/33.85 tff(28741,plain,
% 51.32/33.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28742,plain,
% 51.32/33.85 (((~v84(constB40, bitIndex0)) | (~v94(constB40)) | v123(constB40, bitIndex0)) <=> ((~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28743,plain,
% 51.32/33.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~v94(constB40)) | v123(constB40, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40))))),
% 51.32/33.85 inference(monotonicity,[status(thm)],[28742])).
% 51.32/33.85 tff(28744,plain,
% 51.32/33.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~v94(constB40)) | v123(constB40, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40)))),
% 51.32/33.85 inference(transitivity,[status(thm)],[28743, 28741])).
% 51.32/33.85 tff(28745,plain,
% 51.32/33.85 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~v94(constB40)) | v123(constB40, bitIndex0))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28746,plain,
% 51.32/33.85 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40))),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28745, 28744])).
% 51.32/33.85 tff(28747,plain,
% 51.32/33.85 (v123(constB40, bitIndex0)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28746, 652, 28737, 28728])).
% 51.32/33.85 tff(28748,plain,
% 51.32/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28749,plain,
% 51.32/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0)))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28750,plain,
% 51.32/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0))),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28749, 28748])).
% 51.32/33.85 tff(28751,plain,
% 51.32/33.85 (v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0))),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28750, 637, 6130])).
% 51.32/33.85 tff(28752,plain,
% 51.32/33.85 (v121(constB39, bitIndex0)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28751, 28747])).
% 51.32/33.85 tff(28753,plain,
% 51.32/33.85 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB39)) | (~v121(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB39)) | (~v121(constB39, bitIndex0)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28754,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB39)) | (~v121(constB39, bitIndex0)))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28755,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB39)) | (~v121(constB39, bitIndex0))),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28754, 28753])).
% 51.32/33.85 tff(28756,plain,
% 51.32/33.85 ($false),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28755, 622, 28752, 28740])).
% 51.32/33.85 tff(28757,plain,(~v145(constB41)), inference(lemma,lemma(discharge,[]))).
% 51.32/33.85 tff(28758,plain,
% 51.32/33.85 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB41) | (~v144(constB41)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB41) | (~v144(constB41)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28759,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB41) | (~v144(constB41)))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28760,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB41) | (~v144(constB41))),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28759, 28758])).
% 51.32/33.85 tff(28761,plain,
% 51.32/33.85 (~v144(constB41)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28760, 13439, 28757])).
% 51.32/33.85 tff(28762,plain,
% 51.32/33.85 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB41) | (~v142(constB41)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB41) | (~v142(constB41)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28763,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB41) | (~v142(constB41)))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28764,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB41) | (~v142(constB41))),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28763, 28762])).
% 51.32/33.85 tff(28765,plain,
% 51.32/33.85 (~v142(constB41)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28764, 13453, 28761])).
% 51.32/33.85 tff(28766,assumption,(v18(constB42)), introduced(assumption)).
% 51.32/33.85 tff(28767,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB42))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28768,plain,
% 51.32/33.85 ($false),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28767, 13324, 28766])).
% 51.32/33.85 tff(28769,plain,(~v18(constB42)), inference(lemma,lemma(discharge,[]))).
% 51.32/33.85 tff(28770,plain,
% 51.32/33.85 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28771,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28772,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42))),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28771, 28770])).
% 51.32/33.85 tff(28773,plain,
% 51.32/33.85 (v22(constB42)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28772, 13337, 6349])).
% 51.32/33.85 tff(28774,plain,
% 51.32/33.85 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB42) | (~v22(constB42)) | (~v19(constB42)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB42) | (~v22(constB42)) | (~v19(constB42)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28775,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB42) | (~v22(constB42)) | (~v19(constB42)))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28776,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB42) | (~v22(constB42)) | (~v19(constB42))),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28775, 28774])).
% 51.32/33.85 tff(28777,plain,
% 51.32/33.85 (v18(constB42) | (~v19(constB42))),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28776, 13351, 28773])).
% 51.32/33.85 tff(28778,plain,
% 51.32/33.85 (~v19(constB42)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28777, 28769])).
% 51.32/33.85 tff(28779,plain,
% 51.32/33.85 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28780,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28781,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42)),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28780, 28779])).
% 51.32/33.85 tff(28782,plain,
% 51.32/33.85 (v13(constB42)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28781, 13363, 28778])).
% 51.32/33.85 tff(28783,plain,
% 51.32/33.85 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28784,plain,
% 51.32/33.85 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42)))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28785,plain,
% 51.32/33.85 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42))),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28784, 28783])).
% 51.32/33.85 tff(28786,plain,
% 51.32/33.85 (v9(constB41) | (~v13(constB42))),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28785, 13377, 6329])).
% 51.32/33.85 tff(28787,plain,
% 51.32/33.85 (v9(constB41)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28786, 28782])).
% 51.32/33.85 tff(28788,plain,
% 51.32/33.85 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v141(constB41))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB41) | (~v9(constB41)) | v141(constB41))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28789,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v141(constB41))),
% 51.32/33.85 inference(quant_inst,[status(thm)],[])).
% 51.32/33.85 tff(28790,plain,
% 51.32/33.85 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB41) | (~v9(constB41)) | v141(constB41)),
% 51.32/33.85 inference(modus_ponens,[status(thm)],[28789, 28788])).
% 51.32/33.85 tff(28791,plain,
% 51.32/33.85 ((~v9(constB41)) | v141(constB41)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28790, 13392, 6189])).
% 51.32/33.85 tff(28792,plain,
% 51.32/33.85 (v141(constB41)),
% 51.32/33.85 inference(unit_resolution,[status(thm)],[28791, 28787])).
% 51.32/33.85 tff(28793,plain,
% 51.32/33.85 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB41) | (~v141(constB41)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB41) | (~v141(constB41)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28794,plain,
% 51.32/33.85 (((~v141(constB41)) | v140(constB41)) <=> (v140(constB41) | (~v141(constB41)))),
% 51.32/33.85 inference(rewrite,[status(thm)],[])).
% 51.32/33.85 tff(28795,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB41)) | v140(constB41))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB41) | (~v141(constB41))))),
% 51.32/33.86 inference(monotonicity,[status(thm)],[28794])).
% 51.32/33.86 tff(28796,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB41)) | v140(constB41))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB41) | (~v141(constB41)))),
% 51.32/33.86 inference(transitivity,[status(thm)],[28795, 28793])).
% 51.32/33.86 tff(28797,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB41)) | v140(constB41))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28798,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB41) | (~v141(constB41))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28797, 28796])).
% 51.32/33.86 tff(28799,plain,
% 51.32/33.86 (v140(constB41)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28798, 13404, 28792])).
% 51.32/33.86 tff(28800,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB41)) | (~v140(constB41)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB41)) | (~v140(constB41)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28801,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB41)) | (~v140(constB41)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28802,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB41)) | (~v140(constB41))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28801, 28800])).
% 51.32/33.86 tff(28803,plain,
% 51.32/33.86 (~v138(constB41)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28802, 13495, 28799])).
% 51.32/33.86 tff(28804,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB41) | v142(constB41) | (~v135(constB41)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB41) | v142(constB41) | (~v135(constB41)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28805,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB41) | v142(constB41) | (~v135(constB41)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28806,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB41) | v142(constB41) | (~v135(constB41))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28805, 28804])).
% 51.32/33.86 tff(28807,plain,
% 51.32/33.86 (v142(constB41) | (~v135(constB41))),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28806, 13509, 28803])).
% 51.32/33.86 tff(28808,plain,
% 51.32/33.86 (~v135(constB41)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28807, 28765])).
% 51.32/33.86 tff(28809,plain,
% 51.32/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB41, constB42)) | v135(constB41) | (~v137(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB41, constB42)) | v135(constB41) | (~v137(constB42)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28810,plain,
% 51.32/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB41, constB42)) | v135(constB41) | (~v137(constB42)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28811,plain,
% 51.32/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB41, constB42)) | v135(constB41) | (~v137(constB42))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28810, 28809])).
% 51.32/33.86 tff(28812,plain,
% 51.32/33.86 (v135(constB41) | (~v137(constB42))),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28811, 13524, 6329])).
% 51.32/33.86 tff(28813,plain,
% 51.32/33.86 (~v137(constB42)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28812, 28808])).
% 51.32/33.86 tff(28814,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB42) | (~v138(constB42)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB42) | (~v138(constB42)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28815,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB42) | (~v138(constB42)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28816,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB42) | (~v138(constB42))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28815, 28814])).
% 51.32/33.86 tff(28817,plain,
% 51.32/33.86 (~v138(constB42)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28816, 13539, 28813])).
% 51.32/33.86 tff(28818,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB42)) | (~v141(constB42)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB42)) | (~v141(constB42)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28819,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB42)) | (~v141(constB42)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28820,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB42)) | (~v141(constB42))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28819, 28818])).
% 51.32/33.86 tff(28821,plain,
% 51.32/33.86 (~v141(constB42)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28820, 13553, 6349])).
% 51.32/33.86 tff(28822,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB42) | (~v144(constB42)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB42) | (~v144(constB42)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28823,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB42) | (~v144(constB42)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28824,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB42) | (~v144(constB42))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28823, 28822])).
% 51.32/33.86 tff(28825,plain,
% 51.32/33.86 (~v144(constB42)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28824, 13567, 28821])).
% 51.32/33.86 tff(28826,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB42) | (~v142(constB42)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB42) | (~v142(constB42)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28827,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB42) | (~v142(constB42)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28828,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB42) | (~v142(constB42))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28827, 28826])).
% 51.32/33.86 tff(28829,plain,
% 51.32/33.86 (~v142(constB42)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28828, 13453, 28825])).
% 51.32/33.86 tff(28830,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB42) | v142(constB42) | (~v135(constB42)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB42) | v142(constB42) | (~v135(constB42)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28831,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB42) | v142(constB42) | (~v135(constB42)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28832,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB42) | v142(constB42) | (~v135(constB42))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28831, 28830])).
% 51.32/33.86 tff(28833,plain,
% 51.32/33.86 (v138(constB42) | (~v135(constB42))),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28832, 13509, 28829])).
% 51.32/33.86 tff(28834,plain,
% 51.32/33.86 (~v135(constB42)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28833, 28817])).
% 51.32/33.86 tff(28835,plain,
% 51.32/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB42, constB43)) | v135(constB42) | (~v137(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB42, constB43)) | v135(constB42) | (~v137(constB43)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28836,plain,
% 51.32/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB42, constB43)) | v135(constB42) | (~v137(constB43)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28837,plain,
% 51.32/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB42, constB43)) | v135(constB42) | (~v137(constB43))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28836, 28835])).
% 51.32/33.86 tff(28838,plain,
% 51.32/33.86 (v135(constB42) | (~v137(constB43))),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28837, 13524, 6391])).
% 51.32/33.86 tff(28839,plain,
% 51.32/33.86 (~v137(constB43)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28838, 28834])).
% 51.32/33.86 tff(28840,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB43) | (~v154(constB43)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB43) | (~v154(constB43)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28841,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB43) | (~v154(constB43)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28842,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB43) | (~v154(constB43))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28841, 28840])).
% 51.32/33.86 tff(28843,plain,
% 51.32/33.86 (~v154(constB43)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28842, 13595, 28839])).
% 51.32/33.86 tff(28844,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB39)) | (~v84(constB39, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB39)) | (~v84(constB39, bitIndex1)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28845,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB39)) | (~v84(constB39, bitIndex1)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28846,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB39)) | (~v84(constB39, bitIndex1))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28845, 28844])).
% 51.32/33.86 tff(28847,plain,
% 51.32/33.86 (~v145(constB39)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28846, 1091, 6048])).
% 51.32/33.86 tff(28848,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB39) | (~v144(constB39)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB39) | (~v144(constB39)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28849,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB39) | (~v144(constB39)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28850,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB39) | (~v144(constB39))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28849, 28848])).
% 51.32/33.86 tff(28851,plain,
% 51.32/33.86 (~v144(constB39)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28850, 13439, 28847])).
% 51.32/33.86 tff(28852,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB39) | (~v142(constB39)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB39) | (~v142(constB39)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28853,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB39) | (~v142(constB39)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28854,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB39) | (~v142(constB39))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28853, 28852])).
% 51.32/33.86 tff(28855,plain,
% 51.32/33.86 (~v142(constB39)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28854, 13453, 28851])).
% 51.32/33.86 tff(28856,assumption,(v18(constB40)), introduced(assumption)).
% 51.32/33.86 tff(28857,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB40))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28858,plain,
% 51.32/33.86 ($false),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28857, 13324, 28856])).
% 51.32/33.86 tff(28859,plain,(~v18(constB40)), inference(lemma,lemma(discharge,[]))).
% 51.32/33.86 tff(28860,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB40) | (~v1(constB40)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB40) | (~v1(constB40)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28861,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB40) | (~v1(constB40)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28862,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB40) | (~v1(constB40))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28861, 28860])).
% 51.32/33.86 tff(28863,plain,
% 51.32/33.86 (v22(constB40)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28862, 13337, 6150])).
% 51.32/33.86 tff(28864,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB40) | (~v22(constB40)) | (~v19(constB40)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB40) | (~v22(constB40)) | (~v19(constB40)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28865,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB40) | (~v22(constB40)) | (~v19(constB40)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28866,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB40) | (~v22(constB40)) | (~v19(constB40))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28865, 28864])).
% 51.32/33.86 tff(28867,plain,
% 51.32/33.86 (v18(constB40) | (~v19(constB40))),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28866, 13351, 28863])).
% 51.32/33.86 tff(28868,plain,
% 51.32/33.86 (~v19(constB40)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28867, 28859])).
% 51.32/33.86 tff(28869,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB40) | v19(constB40))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB40) | v19(constB40))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28870,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB40) | v19(constB40))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28871,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB40) | v19(constB40)),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28870, 28869])).
% 51.32/33.86 tff(28872,plain,
% 51.32/33.86 (v13(constB40)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28871, 13363, 28868])).
% 51.32/33.86 tff(28873,plain,
% 51.32/33.86 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB39) | (~v13(constB40)) | (~nextState(constB39, constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB39) | (~v13(constB40)) | (~nextState(constB39, constB40)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28874,plain,
% 51.32/33.86 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB39) | (~v13(constB40)) | (~nextState(constB39, constB40)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28875,plain,
% 51.32/33.86 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB39) | (~v13(constB40)) | (~nextState(constB39, constB40))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28874, 28873])).
% 51.32/33.86 tff(28876,plain,
% 51.32/33.86 (v9(constB39) | (~v13(constB40))),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28875, 13377, 6130])).
% 51.32/33.86 tff(28877,plain,
% 51.32/33.86 (v9(constB39)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28876, 28872])).
% 51.32/33.86 tff(28878,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB39) | (~v9(constB39)) | v141(constB39))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB39) | (~v9(constB39)) | v141(constB39))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28879,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB39) | (~v9(constB39)) | v141(constB39))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28880,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB39) | (~v9(constB39)) | v141(constB39)),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28879, 28878])).
% 51.32/33.86 tff(28881,plain,
% 51.32/33.86 ((~v9(constB39)) | v141(constB39)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28880, 13392, 5993])).
% 51.32/33.86 tff(28882,plain,
% 51.32/33.86 (v141(constB39)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28881, 28877])).
% 51.32/33.86 tff(28883,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB39)) | v140(constB39))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB39)) | v140(constB39))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28884,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB39)) | v140(constB39))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28885,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB39)) | v140(constB39)),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28884, 28883])).
% 51.32/33.86 tff(28886,plain,
% 51.32/33.86 (v140(constB39)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28885, 13404, 28882])).
% 51.32/33.86 tff(28887,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB39)) | (~v140(constB39)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB39)) | (~v140(constB39)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28888,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB39)) | (~v140(constB39)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28889,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB39)) | (~v140(constB39))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28888, 28887])).
% 51.32/33.86 tff(28890,plain,
% 51.32/33.86 (~v138(constB39)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28889, 13495, 28886])).
% 51.32/33.86 tff(28891,plain,
% 51.32/33.86 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB39) | v142(constB39) | (~v135(constB39)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB39) | v142(constB39) | (~v135(constB39)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28892,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB39) | v142(constB39) | (~v135(constB39)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28893,plain,
% 51.32/33.86 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB39) | v142(constB39) | (~v135(constB39))),
% 51.32/33.86 inference(modus_ponens,[status(thm)],[28892, 28891])).
% 51.32/33.86 tff(28894,plain,
% 51.32/33.86 (v142(constB39) | (~v135(constB39))),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28893, 13509, 28890])).
% 51.32/33.86 tff(28895,plain,
% 51.32/33.86 (~v135(constB39)),
% 51.32/33.86 inference(unit_resolution,[status(thm)],[28894, 28855])).
% 51.32/33.86 tff(28896,plain,
% 51.32/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB39, constB40)) | v135(constB39) | (~v137(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB39, constB40)) | v135(constB39) | (~v137(constB40)))),
% 51.32/33.86 inference(rewrite,[status(thm)],[])).
% 51.32/33.86 tff(28897,plain,
% 51.32/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB39, constB40)) | v135(constB39) | (~v137(constB40)))),
% 51.32/33.86 inference(quant_inst,[status(thm)],[])).
% 51.32/33.86 tff(28898,plain,
% 51.32/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB39, constB40)) | v135(constB39) | (~v137(constB40))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28897, 28896])).
% 51.32/33.87 tff(28899,plain,
% 51.32/33.87 (v135(constB39) | (~v137(constB40))),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28898, 13524, 6130])).
% 51.32/33.87 tff(28900,plain,
% 51.32/33.87 (~v137(constB40)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28899, 28895])).
% 51.32/33.87 tff(28901,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB40) | (~v138(constB40)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB40) | (~v138(constB40)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28902,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB40) | (~v138(constB40)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28903,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB40) | (~v138(constB40))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28902, 28901])).
% 51.32/33.87 tff(28904,plain,
% 51.32/33.87 (~v138(constB40)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28903, 13539, 28900])).
% 51.32/33.87 tff(28905,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB40)) | (~v141(constB40)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB40)) | (~v141(constB40)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28906,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB40)) | (~v141(constB40)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28907,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB40)) | (~v141(constB40))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28906, 28905])).
% 51.32/33.87 tff(28908,plain,
% 51.32/33.87 (~v141(constB40)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28907, 13553, 6150])).
% 51.32/33.87 tff(28909,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB40) | (~v144(constB40)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB40) | (~v144(constB40)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28910,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB40) | (~v144(constB40)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28911,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB40) | (~v144(constB40))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28910, 28909])).
% 51.32/33.87 tff(28912,plain,
% 51.32/33.87 (~v144(constB40)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28911, 13567, 28908])).
% 51.32/33.87 tff(28913,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB40) | (~v142(constB40)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB40) | (~v142(constB40)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28914,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB40) | (~v142(constB40)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28915,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB40) | (~v142(constB40))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28914, 28913])).
% 51.32/33.87 tff(28916,plain,
% 51.32/33.87 (~v142(constB40)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28915, 13453, 28912])).
% 51.32/33.87 tff(28917,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB40) | v142(constB40) | (~v135(constB40)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB40) | v142(constB40) | (~v135(constB40)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28918,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB40) | v142(constB40) | (~v135(constB40)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28919,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB40) | v142(constB40) | (~v135(constB40))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28918, 28917])).
% 51.32/33.87 tff(28920,plain,
% 51.32/33.87 (v138(constB40) | (~v135(constB40))),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28919, 13509, 28916])).
% 51.32/33.87 tff(28921,plain,
% 51.32/33.87 (~v135(constB40)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28920, 28904])).
% 51.32/33.87 tff(28922,plain,
% 51.32/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB40, constB41)) | v135(constB40) | (~v137(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB40, constB41)) | v135(constB40) | (~v137(constB41)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28923,plain,
% 51.32/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB40, constB41)) | v135(constB40) | (~v137(constB41)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28924,plain,
% 51.32/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB40, constB41)) | v135(constB40) | (~v137(constB41))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28923, 28922])).
% 51.32/33.87 tff(28925,plain,
% 51.32/33.87 (v135(constB40) | (~v137(constB41))),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28924, 13524, 6192])).
% 51.32/33.87 tff(28926,plain,
% 51.32/33.87 (~v137(constB41)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28925, 28921])).
% 51.32/33.87 tff(28927,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB41) | (~v154(constB41)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB41) | (~v154(constB41)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28928,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB41) | (~v154(constB41)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28929,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB41) | (~v154(constB41))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28928, 28927])).
% 51.32/33.87 tff(28930,plain,
% 51.32/33.87 (~v154(constB41)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28929, 13595, 28926])).
% 51.32/33.87 tff(28931,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB41)) | (~v153(constB41)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB41)) | (~v153(constB41)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28932,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB41)) | (~v153(constB41)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28933,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB41)) | (~v153(constB41))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28932, 28931])).
% 51.32/33.87 tff(28934,plain,
% 51.32/33.87 (~v153(constB41)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28933, 13640, 28799])).
% 51.32/33.87 tff(28935,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB41) | v154(constB41) | (~v150(constB41)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB41) | v154(constB41) | (~v150(constB41)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28936,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB41) | v154(constB41) | (~v150(constB41)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28937,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB41) | v154(constB41) | (~v150(constB41))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28936, 28935])).
% 51.32/33.87 tff(28938,plain,
% 51.32/33.87 (v154(constB41) | (~v150(constB41))),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28937, 13654, 28934])).
% 51.32/33.87 tff(28939,plain,
% 51.32/33.87 (~v150(constB41)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28938, 28930])).
% 51.32/33.87 tff(28940,plain,
% 51.32/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB41, constB42)) | v150(constB41) | (~v152(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB41, constB42)) | v150(constB41) | (~v152(constB42)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28941,plain,
% 51.32/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB41, constB42)) | v150(constB41) | (~v152(constB42)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28942,plain,
% 51.32/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB41, constB42)) | v150(constB41) | (~v152(constB42))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28941, 28940])).
% 51.32/33.87 tff(28943,plain,
% 51.32/33.87 (v150(constB41) | (~v152(constB42))),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28942, 13669, 6329])).
% 51.32/33.87 tff(28944,plain,
% 51.32/33.87 (~v152(constB42)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28943, 28939])).
% 51.32/33.87 tff(28945,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB42) | (~v153(constB42)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB42) | (~v153(constB42)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28946,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB42) | (~v153(constB42)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28947,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB42) | (~v153(constB42))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28946, 28945])).
% 51.32/33.87 tff(28948,plain,
% 51.32/33.87 (~v153(constB42)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28947, 13684, 28944])).
% 51.32/33.87 tff(28949,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB42) | (~v155(constB42)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB42) | (~v155(constB42)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28950,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB42) | (~v155(constB42)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28951,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB42) | (~v155(constB42))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28950, 28949])).
% 51.32/33.87 tff(28952,plain,
% 51.32/33.87 (~v155(constB42)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28951, 13702, 28821])).
% 51.32/33.87 tff(28953,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB42) | (~v154(constB42)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB42) | (~v154(constB42)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28954,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB42) | (~v154(constB42)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28955,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB42) | (~v154(constB42))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28954, 28953])).
% 51.32/33.87 tff(28956,plain,
% 51.32/33.87 (~v154(constB42)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28955, 13716, 28952])).
% 51.32/33.87 tff(28957,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB42) | v154(constB42) | (~v150(constB42)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB42) | v154(constB42) | (~v150(constB42)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28958,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB42) | v154(constB42) | (~v150(constB42)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28959,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB42) | v154(constB42) | (~v150(constB42))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28958, 28957])).
% 51.32/33.87 tff(28960,plain,
% 51.32/33.87 (v153(constB42) | (~v150(constB42))),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28959, 13654, 28956])).
% 51.32/33.87 tff(28961,plain,
% 51.32/33.87 (~v150(constB42)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28960, 28948])).
% 51.32/33.87 tff(28962,plain,
% 51.32/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB42, constB43)) | v150(constB42) | (~v152(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB42, constB43)) | v150(constB42) | (~v152(constB43)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28963,plain,
% 51.32/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB42, constB43)) | v150(constB42) | (~v152(constB43)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28964,plain,
% 51.32/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB42, constB43)) | v150(constB42) | (~v152(constB43))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28963, 28962])).
% 51.32/33.87 tff(28965,plain,
% 51.32/33.87 (v150(constB42) | (~v152(constB43))),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28964, 13669, 6391])).
% 51.32/33.87 tff(28966,plain,
% 51.32/33.87 (~v152(constB43)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28965, 28961])).
% 51.32/33.87 tff(28967,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB43) | (~v153(constB43)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB43) | (~v153(constB43)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28968,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB43) | (~v153(constB43)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28969,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB43) | (~v153(constB43))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28968, 28967])).
% 51.32/33.87 tff(28970,plain,
% 51.32/33.87 (~v153(constB43)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28969, 13684, 28966])).
% 51.32/33.87 tff(28971,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB43) | v154(constB43) | (~v150(constB43)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB43) | v154(constB43) | (~v150(constB43)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28972,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB43) | v154(constB43) | (~v150(constB43)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28973,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB43) | v154(constB43) | (~v150(constB43))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28972, 28971])).
% 51.32/33.87 tff(28974,plain,
% 51.32/33.87 (v154(constB43) | (~v150(constB43))),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28973, 13654, 28970])).
% 51.32/33.87 tff(28975,plain,
% 51.32/33.87 (~v150(constB43)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28974, 28843])).
% 51.32/33.87 tff(28976,plain,
% 51.32/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB43, constB44)) | v150(constB43) | (~v152(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB43, constB44)) | v150(constB43) | (~v152(constB44)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28977,plain,
% 51.32/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB43, constB44)) | v150(constB43) | (~v152(constB44)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28978,plain,
% 51.32/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB43, constB44)) | v150(constB43) | (~v152(constB44))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28977, 28976])).
% 51.32/33.87 tff(28979,plain,
% 51.32/33.87 (v150(constB43) | (~v152(constB44))),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28978, 13669, 6521])).
% 51.32/33.87 tff(28980,plain,
% 51.32/33.87 (~v152(constB44)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28979, 28975])).
% 51.32/33.87 tff(28981,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB44) | (~v153(constB44)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB44) | (~v153(constB44)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28982,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB44) | (~v153(constB44)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28983,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB44) | (~v153(constB44))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28982, 28981])).
% 51.32/33.87 tff(28984,plain,
% 51.32/33.87 (~v153(constB44)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28983, 13684, 28980])).
% 51.32/33.87 tff(28985,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB44)) | (~v141(constB44)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB44)) | (~v141(constB44)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28986,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB44)) | (~v141(constB44)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28987,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB44)) | (~v141(constB44))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28986, 28985])).
% 51.32/33.87 tff(28988,plain,
% 51.32/33.87 (~v141(constB44)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28987, 13553, 6541])).
% 51.32/33.87 tff(28989,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB44) | (~v155(constB44)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB44) | (~v155(constB44)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28990,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB44) | (~v155(constB44)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28991,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB44) | (~v155(constB44))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28990, 28989])).
% 51.32/33.87 tff(28992,plain,
% 51.32/33.87 (~v155(constB44)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28991, 13702, 28988])).
% 51.32/33.87 tff(28993,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB44) | (~v154(constB44)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB44) | (~v154(constB44)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28994,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB44) | (~v154(constB44)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28995,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB44) | (~v154(constB44))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28994, 28993])).
% 51.32/33.87 tff(28996,plain,
% 51.32/33.87 (~v154(constB44)),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28995, 13716, 28992])).
% 51.32/33.87 tff(28997,plain,
% 51.32/33.87 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB44) | v154(constB44) | (~v150(constB44)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB44) | v154(constB44) | (~v150(constB44)))),
% 51.32/33.87 inference(rewrite,[status(thm)],[])).
% 51.32/33.87 tff(28998,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB44) | v154(constB44) | (~v150(constB44)))),
% 51.32/33.87 inference(quant_inst,[status(thm)],[])).
% 51.32/33.87 tff(28999,plain,
% 51.32/33.87 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB44) | v154(constB44) | (~v150(constB44))),
% 51.32/33.87 inference(modus_ponens,[status(thm)],[28998, 28997])).
% 51.32/33.87 tff(29000,plain,
% 51.32/33.87 (v153(constB44) | (~v150(constB44))),
% 51.32/33.87 inference(unit_resolution,[status(thm)],[28999, 13654, 28996])).
% 51.32/33.87 tff(29001,plain,
% 51.32/33.88 (~v150(constB44)),
% 51.32/33.88 inference(unit_resolution,[status(thm)],[29000, 28984])).
% 51.32/33.88 tff(29002,plain,
% 51.32/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB44, constB45)) | v150(constB44) | (~v152(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB44, constB45)) | v150(constB44) | (~v152(constB45)))),
% 51.32/33.88 inference(rewrite,[status(thm)],[])).
% 51.32/33.88 tff(29003,plain,
% 51.32/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB44, constB45)) | v150(constB44) | (~v152(constB45)))),
% 51.32/33.88 inference(quant_inst,[status(thm)],[])).
% 51.32/33.88 tff(29004,plain,
% 51.32/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB44, constB45)) | v150(constB44) | (~v152(constB45))),
% 51.32/33.88 inference(modus_ponens,[status(thm)],[29003, 29002])).
% 51.32/33.88 tff(29005,plain,
% 51.32/33.88 (v150(constB44) | (~v152(constB45))),
% 51.32/33.88 inference(unit_resolution,[status(thm)],[29004, 13669, 6583])).
% 51.32/33.88 tff(29006,plain,
% 51.32/33.88 (~v152(constB45)),
% 51.32/33.88 inference(unit_resolution,[status(thm)],[29005, 29001])).
% 51.32/33.88 tff(29007,plain,
% 51.32/33.88 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB45) | (~v164(constB45)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB45) | (~v164(constB45)))),
% 51.32/33.88 inference(rewrite,[status(thm)],[])).
% 51.32/33.88 tff(29008,plain,
% 51.32/33.88 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB45) | (~v164(constB45)))),
% 51.32/33.88 inference(quant_inst,[status(thm)],[])).
% 51.32/33.88 tff(29009,plain,
% 51.32/33.88 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB45) | (~v164(constB45))),
% 51.32/33.88 inference(modus_ponens,[status(thm)],[29008, 29007])).
% 51.32/33.88 tff(29010,plain,
% 51.32/33.88 (~v164(constB45)),
% 51.32/33.88 inference(unit_resolution,[status(thm)],[29009, 13740, 29006])).
% 51.32/33.88 tff(29011,assumption,(v18(constB46)), introduced(assumption)).
% 51.32/33.88 tff(29012,plain,
% 51.32/33.88 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB46))),
% 51.32/33.88 inference(quant_inst,[status(thm)],[])).
% 51.32/33.88 tff(29013,plain,
% 51.32/33.88 ($false),
% 51.32/33.88 inference(unit_resolution,[status(thm)],[29012, 13324, 29011])).
% 51.32/33.88 tff(29014,plain,(~v18(constB46)), inference(lemma,lemma(discharge,[]))).
% 51.32/33.88 tff(29015,plain,
% 51.32/33.88 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46)))),
% 51.32/33.88 inference(rewrite,[status(thm)],[])).
% 51.32/33.88 tff(29016,plain,
% 51.32/33.88 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))),
% 51.32/33.88 inference(quant_inst,[status(thm)],[])).
% 51.32/33.88 tff(29017,plain,
% 51.32/33.88 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46))),
% 51.32/33.88 inference(modus_ponens,[status(thm)],[29016, 29015])).
% 51.32/33.88 tff(29018,plain,
% 51.32/33.88 (v22(constB46)),
% 51.32/33.88 inference(unit_resolution,[status(thm)],[29017, 13337, 6716])).
% 51.32/33.88 tff(29019,plain,
% 51.32/33.88 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB46) | (~v22(constB46)) | (~v19(constB46)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB46) | (~v22(constB46)) | (~v19(constB46)))),
% 51.32/33.88 inference(rewrite,[status(thm)],[])).
% 51.32/33.88 tff(29020,plain,
% 51.32/33.88 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB46) | (~v22(constB46)) | (~v19(constB46)))),
% 51.32/33.88 inference(quant_inst,[status(thm)],[])).
% 51.32/33.88 tff(29021,plain,
% 51.32/33.88 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB46) | (~v22(constB46)) | (~v19(constB46))),
% 51.32/33.88 inference(modus_ponens,[status(thm)],[29020, 29019])).
% 51.32/33.88 tff(29022,plain,
% 51.32/33.88 (v18(constB46) | (~v19(constB46))),
% 51.32/33.88 inference(unit_resolution,[status(thm)],[29021, 13351, 29018])).
% 51.32/33.88 tff(29023,plain,
% 51.32/33.88 (~v19(constB46)),
% 51.32/33.88 inference(unit_resolution,[status(thm)],[29022, 29014])).
% 51.39/33.88 tff(29024,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29025,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29026,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46)),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29025, 29024])).
% 51.39/33.88 tff(29027,plain,
% 51.39/33.88 (v13(constB46)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29026, 13363, 29023])).
% 51.39/33.88 tff(29028,plain,
% 51.39/33.88 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB45) | (~v13(constB46)) | (~nextState(constB45, constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB45) | (~v13(constB46)) | (~nextState(constB45, constB46)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29029,plain,
% 51.39/33.88 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB45) | (~v13(constB46)) | (~nextState(constB45, constB46)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29030,plain,
% 51.39/33.88 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB45) | (~v13(constB46)) | (~nextState(constB45, constB46))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29029, 29028])).
% 51.39/33.88 tff(29031,plain,
% 51.39/33.88 (v9(constB45) | (~v13(constB46))),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29030, 13377, 6696])).
% 51.39/33.88 tff(29032,plain,
% 51.39/33.88 (v9(constB45)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29031, 29027])).
% 51.39/33.88 tff(29033,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v141(constB45))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB45) | (~v9(constB45)) | v141(constB45))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29034,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v141(constB45))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29035,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB45) | (~v9(constB45)) | v141(constB45)),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29034, 29033])).
% 51.39/33.88 tff(29036,plain,
% 51.39/33.88 ((~v9(constB45)) | v141(constB45)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29035, 13392, 6580])).
% 51.39/33.88 tff(29037,plain,
% 51.39/33.88 (v141(constB45)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29036, 29032])).
% 51.39/33.88 tff(29038,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB45)) | v140(constB45))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB45)) | v140(constB45))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29039,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB45)) | v140(constB45))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29040,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB45)) | v140(constB45)),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29039, 29038])).
% 51.39/33.88 tff(29041,plain,
% 51.39/33.88 (v140(constB45)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29040, 13404, 29037])).
% 51.39/33.88 tff(29042,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB45)) | (~v163(constB45)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB45)) | (~v163(constB45)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29043,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB45)) | (~v163(constB45)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29044,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB45)) | (~v163(constB45))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29043, 29042])).
% 51.39/33.88 tff(29045,plain,
% 51.39/33.88 (~v163(constB45)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29044, 13421, 29041])).
% 51.39/33.88 tff(29046,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB45) | v164(constB45) | (~v160(constB45)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB45) | v164(constB45) | (~v160(constB45)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29047,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB45) | v164(constB45) | (~v160(constB45)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29048,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB45) | v164(constB45) | (~v160(constB45))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29047, 29046])).
% 51.39/33.88 tff(29049,plain,
% 51.39/33.88 (v164(constB45) | (~v160(constB45))),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29048, 13754, 29045])).
% 51.39/33.88 tff(29050,plain,
% 51.39/33.88 (~v160(constB45)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29049, 29010])).
% 51.39/33.88 tff(29051,plain,
% 51.39/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB45, constB46)) | v160(constB45) | (~v162(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB45, constB46)) | v160(constB45) | (~v162(constB46)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29052,plain,
% 51.39/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB45, constB46)) | v160(constB45) | (~v162(constB46)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29053,plain,
% 51.39/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB45, constB46)) | v160(constB45) | (~v162(constB46))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29052, 29051])).
% 51.39/33.88 tff(29054,plain,
% 51.39/33.88 (v160(constB45) | (~v162(constB46))),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29053, 13769, 6696])).
% 51.39/33.88 tff(29055,plain,
% 51.39/33.88 (~v162(constB46)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29054, 29050])).
% 51.39/33.88 tff(29056,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB46) | (~v163(constB46)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB46) | (~v163(constB46)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29057,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB46) | (~v163(constB46)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29058,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB46) | (~v163(constB46))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29057, 29056])).
% 51.39/33.88 tff(29059,plain,
% 51.39/33.88 (~v163(constB46)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29058, 13784, 29055])).
% 51.39/33.88 tff(29060,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB46)) | (~v141(constB46)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB46)) | (~v141(constB46)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29061,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB46)) | (~v141(constB46)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29062,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB46)) | (~v141(constB46))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29061, 29060])).
% 51.39/33.88 tff(29063,plain,
% 51.39/33.88 (~v141(constB46)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29062, 13553, 6716])).
% 51.39/33.88 tff(29064,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB46) | (~v155(constB46)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB46) | (~v155(constB46)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29065,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB46) | (~v155(constB46)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29066,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB46) | (~v155(constB46))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29065, 29064])).
% 51.39/33.88 tff(29067,plain,
% 51.39/33.88 (~v155(constB46)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29066, 13702, 29063])).
% 51.39/33.88 tff(29068,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB46) | (~v164(constB46)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB46) | (~v164(constB46)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29069,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB46) | (~v164(constB46)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29070,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB46) | (~v164(constB46))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29069, 29068])).
% 51.39/33.88 tff(29071,plain,
% 51.39/33.88 (~v164(constB46)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29070, 13806, 29067])).
% 51.39/33.88 tff(29072,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB46) | v164(constB46) | (~v160(constB46)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB46) | v164(constB46) | (~v160(constB46)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29073,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB46) | v164(constB46) | (~v160(constB46)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29074,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB46) | v164(constB46) | (~v160(constB46))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29073, 29072])).
% 51.39/33.88 tff(29075,plain,
% 51.39/33.88 (v163(constB46) | (~v160(constB46))),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29074, 13754, 29071])).
% 51.39/33.88 tff(29076,plain,
% 51.39/33.88 (~v160(constB46)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29075, 29059])).
% 51.39/33.88 tff(29077,plain,
% 51.39/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB46, constB47)) | v160(constB46) | (~v162(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB46, constB47)) | v160(constB46) | (~v162(constB47)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29078,plain,
% 51.39/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB46, constB47)) | v160(constB46) | (~v162(constB47)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29079,plain,
% 51.39/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB46, constB47)) | v160(constB46) | (~v162(constB47))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29078, 29077])).
% 51.39/33.88 tff(29080,plain,
% 51.39/33.88 (v160(constB46) | (~v162(constB47))),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29079, 13769, 6785])).
% 51.39/33.88 tff(29081,plain,
% 51.39/33.88 (~v162(constB47)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29080, 29076])).
% 51.39/33.88 tff(29082,plain,
% 51.39/33.88 ($false),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29081, 28709])).
% 51.39/33.88 tff(29083,plain,(~(constB47 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.88 tff(29084,assumption,(constB142 = sK0_VarCurr), introduced(assumption)).
% 51.39/33.88 tff(29085,plain,
% 51.39/33.88 (v1(constB142) <=> v1(sK0_VarCurr)),
% 51.39/33.88 inference(monotonicity,[status(thm)],[29084])).
% 51.39/33.88 tff(29086,plain,
% 51.39/33.88 (v1(sK0_VarCurr) <=> v1(constB142)),
% 51.39/33.88 inference(symmetry,[status(thm)],[29085])).
% 51.39/33.88 tff(29087,plain,
% 51.39/33.88 ((~v1(sK0_VarCurr)) <=> (~v1(constB142))),
% 51.39/33.88 inference(monotonicity,[status(thm)],[29086])).
% 51.39/33.88 tff(29088,plain,
% 51.39/33.88 (~v1(constB142)),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[25725, 29087])).
% 51.39/33.88 tff(29089,plain,
% 51.39/33.88 ($false),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[17949, 29088])).
% 51.39/33.88 tff(29090,plain,(~(constB142 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.88 tff(29091,assumption,(constB121 = sK0_VarCurr), introduced(assumption)).
% 51.39/33.88 tff(29092,plain,
% 51.39/33.88 (v162(constB121) <=> v162(sK0_VarCurr)),
% 51.39/33.88 inference(monotonicity,[status(thm)],[29091])).
% 51.39/33.88 tff(29093,plain,
% 51.39/33.88 (v162(sK0_VarCurr) <=> v162(constB121)),
% 51.39/33.88 inference(symmetry,[status(thm)],[29092])).
% 51.39/33.88 tff(29094,plain,
% 51.39/33.88 (v162(constB121)),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[13315, 29093])).
% 51.39/33.88 tff(29095,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB115) | (~v144(constB115)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB115) | (~v144(constB115)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29096,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB115) | (~v144(constB115)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29097,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB115) | (~v144(constB115))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29096, 29095])).
% 51.39/33.88 tff(29098,plain,
% 51.39/33.88 (~v144(constB115)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29097, 13439, 15119])).
% 51.39/33.88 tff(29099,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB115) | (~v142(constB115)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB115) | (~v142(constB115)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29100,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB115) | (~v142(constB115)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29101,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB115) | (~v142(constB115))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29100, 29099])).
% 51.39/33.88 tff(29102,plain,
% 51.39/33.88 (~v142(constB115)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29101, 13453, 29098])).
% 51.39/33.88 tff(29103,assumption,(v18(constB116)), introduced(assumption)).
% 51.39/33.88 tff(29104,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB116))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29105,plain,
% 51.39/33.88 ($false),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29104, 13324, 29103])).
% 51.39/33.88 tff(29106,plain,(~v18(constB116)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.88 tff(29107,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29108,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29109,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29108, 29107])).
% 51.39/33.88 tff(29110,plain,
% 51.39/33.88 (v22(constB116)),
% 51.39/33.88 inference(unit_resolution,[status(thm)],[29109, 13337, 15081])).
% 51.39/33.88 tff(29111,plain,
% 51.39/33.88 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB116) | (~v22(constB116)) | (~v19(constB116)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB116) | (~v22(constB116)) | (~v19(constB116)))),
% 51.39/33.88 inference(rewrite,[status(thm)],[])).
% 51.39/33.88 tff(29112,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB116) | (~v22(constB116)) | (~v19(constB116)))),
% 51.39/33.88 inference(quant_inst,[status(thm)],[])).
% 51.39/33.88 tff(29113,plain,
% 51.39/33.88 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB116) | (~v22(constB116)) | (~v19(constB116))),
% 51.39/33.88 inference(modus_ponens,[status(thm)],[29112, 29111])).
% 51.39/33.88 tff(29114,plain,
% 51.39/33.88 (v18(constB116) | (~v19(constB116))),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29113, 13351, 29110])).
% 51.39/33.89 tff(29115,plain,
% 51.39/33.89 (~v19(constB116)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29114, 29106])).
% 51.39/33.89 tff(29116,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29117,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29118,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116)),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29117, 29116])).
% 51.39/33.89 tff(29119,plain,
% 51.39/33.89 (v13(constB116)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29118, 13363, 29115])).
% 51.39/33.89 tff(29120,plain,
% 51.39/33.89 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB115) | (~v13(constB116)) | (~nextState(constB115, constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB115) | (~v13(constB116)) | (~nextState(constB115, constB116)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29121,plain,
% 51.39/33.89 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB115) | (~v13(constB116)) | (~nextState(constB115, constB116)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29122,plain,
% 51.39/33.89 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB115) | (~v13(constB116)) | (~nextState(constB115, constB116))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29121, 29120])).
% 51.39/33.89 tff(29123,plain,
% 51.39/33.89 (v9(constB115) | (~v13(constB116))),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29122, 13377, 15061])).
% 51.39/33.89 tff(29124,plain,
% 51.39/33.89 (v9(constB115)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29123, 29119])).
% 51.39/33.89 tff(29125,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v141(constB115))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB115) | (~v9(constB115)) | v141(constB115))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29126,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v141(constB115))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29127,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB115) | (~v9(constB115)) | v141(constB115)),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29126, 29125])).
% 51.39/33.89 tff(29128,plain,
% 51.39/33.89 ((~v9(constB115)) | v141(constB115)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29127, 13392, 14939])).
% 51.39/33.89 tff(29129,plain,
% 51.39/33.89 (v141(constB115)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29128, 29124])).
% 51.39/33.89 tff(29130,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB115)) | v140(constB115))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB115)) | v140(constB115))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29131,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB115)) | v140(constB115))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29132,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB115)) | v140(constB115)),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29131, 29130])).
% 51.39/33.89 tff(29133,plain,
% 51.39/33.89 (v140(constB115)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29132, 13404, 29129])).
% 51.39/33.89 tff(29134,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB115)) | (~v140(constB115)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB115)) | (~v140(constB115)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29135,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB115)) | (~v140(constB115)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29136,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB115)) | (~v140(constB115))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29135, 29134])).
% 51.39/33.89 tff(29137,plain,
% 51.39/33.89 (~v138(constB115)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29136, 13495, 29133])).
% 51.39/33.89 tff(29138,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB115) | v142(constB115) | (~v135(constB115)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB115) | v142(constB115) | (~v135(constB115)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29139,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB115) | v142(constB115) | (~v135(constB115)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29140,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB115) | v142(constB115) | (~v135(constB115))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29139, 29138])).
% 51.39/33.89 tff(29141,plain,
% 51.39/33.89 (v142(constB115) | (~v135(constB115))),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29140, 13509, 29137])).
% 51.39/33.89 tff(29142,plain,
% 51.39/33.89 (~v135(constB115)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29141, 29102])).
% 51.39/33.89 tff(29143,plain,
% 51.39/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29144,plain,
% 51.39/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29145,plain,
% 51.39/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29144, 29143])).
% 51.39/33.89 tff(29146,plain,
% 51.39/33.89 (v135(constB115) | (~v137(constB116))),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29145, 13524, 15061])).
% 51.39/33.89 tff(29147,plain,
% 51.39/33.89 (~v137(constB116)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29146, 29142])).
% 51.39/33.89 tff(29148,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB116) | (~v138(constB116)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB116) | (~v138(constB116)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29149,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB116) | (~v138(constB116)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29150,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB116) | (~v138(constB116))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29149, 29148])).
% 51.39/33.89 tff(29151,plain,
% 51.39/33.89 (~v138(constB116)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29150, 13539, 29147])).
% 51.39/33.89 tff(29152,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB116)) | (~v141(constB116)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB116)) | (~v141(constB116)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29153,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB116)) | (~v141(constB116)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29154,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB116)) | (~v141(constB116))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29153, 29152])).
% 51.39/33.89 tff(29155,plain,
% 51.39/33.89 (~v141(constB116)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29154, 13553, 15081])).
% 51.39/33.89 tff(29156,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB116) | (~v144(constB116)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB116) | (~v144(constB116)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29157,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB116) | (~v144(constB116)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29158,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB116) | (~v144(constB116))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29157, 29156])).
% 51.39/33.89 tff(29159,plain,
% 51.39/33.89 (~v144(constB116)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29158, 13567, 29155])).
% 51.39/33.89 tff(29160,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB116) | (~v142(constB116)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB116) | (~v142(constB116)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29161,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB116) | (~v142(constB116)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29162,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB116) | (~v142(constB116))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29161, 29160])).
% 51.39/33.89 tff(29163,plain,
% 51.39/33.89 (~v142(constB116)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29162, 13453, 29159])).
% 51.39/33.89 tff(29164,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB116) | v142(constB116) | (~v135(constB116)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB116) | v142(constB116) | (~v135(constB116)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29165,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB116) | v142(constB116) | (~v135(constB116)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29166,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB116) | v142(constB116) | (~v135(constB116))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29165, 29164])).
% 51.39/33.89 tff(29167,plain,
% 51.39/33.89 (v138(constB116) | (~v135(constB116))),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29166, 13509, 29163])).
% 51.39/33.89 tff(29168,plain,
% 51.39/33.89 (~v135(constB116)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29167, 29151])).
% 51.39/33.89 tff(29169,plain,
% 51.39/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29170,plain,
% 51.39/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29171,plain,
% 51.39/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29170, 29169])).
% 51.39/33.89 tff(29172,plain,
% 51.39/33.89 (v135(constB116) | (~v137(constB117))),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29171, 13524, 15150])).
% 51.39/33.89 tff(29173,plain,
% 51.39/33.89 (~v137(constB117)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29172, 29168])).
% 51.39/33.89 tff(29174,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB117) | (~v154(constB117)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB117) | (~v154(constB117)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29175,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB117) | (~v154(constB117)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29176,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB117) | (~v154(constB117))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29175, 29174])).
% 51.39/33.89 tff(29177,plain,
% 51.39/33.89 (~v154(constB117)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29176, 13595, 29173])).
% 51.39/33.89 tff(29178,assumption,(v18(constB118)), introduced(assumption)).
% 51.39/33.89 tff(29179,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB118))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29180,plain,
% 51.39/33.89 ($false),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29179, 13324, 29178])).
% 51.39/33.89 tff(29181,plain,(~v18(constB118)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.89 tff(29182,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29183,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29184,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29183, 29182])).
% 51.39/33.89 tff(29185,plain,
% 51.39/33.89 (v22(constB118)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29184, 13337, 15290])).
% 51.39/33.89 tff(29186,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB118) | (~v22(constB118)) | (~v19(constB118)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB118) | (~v22(constB118)) | (~v19(constB118)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29187,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB118) | (~v22(constB118)) | (~v19(constB118)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29188,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB118) | (~v22(constB118)) | (~v19(constB118))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29187, 29186])).
% 51.39/33.89 tff(29189,plain,
% 51.39/33.89 (v18(constB118) | (~v19(constB118))),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29188, 13351, 29185])).
% 51.39/33.89 tff(29190,plain,
% 51.39/33.89 (~v19(constB118)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29189, 29181])).
% 51.39/33.89 tff(29191,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29192,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29193,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118)),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29192, 29191])).
% 51.39/33.89 tff(29194,plain,
% 51.39/33.89 (v13(constB118)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29193, 13363, 29190])).
% 51.39/33.89 tff(29195,plain,
% 51.39/33.89 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29196,plain,
% 51.39/33.89 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29197,plain,
% 51.39/33.89 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29196, 29195])).
% 51.39/33.89 tff(29198,plain,
% 51.39/33.89 (v9(constB117) | (~v13(constB118))),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29197, 13377, 15270])).
% 51.39/33.89 tff(29199,plain,
% 51.39/33.89 (v9(constB117)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29198, 29194])).
% 51.39/33.89 tff(29200,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v141(constB117))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB117) | (~v9(constB117)) | v141(constB117))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29201,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v141(constB117))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29202,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB117) | (~v9(constB117)) | v141(constB117)),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29201, 29200])).
% 51.39/33.89 tff(29203,plain,
% 51.39/33.89 ((~v9(constB117)) | v141(constB117)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29202, 13392, 15147])).
% 51.39/33.89 tff(29204,plain,
% 51.39/33.89 (v141(constB117)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29203, 29199])).
% 51.39/33.89 tff(29205,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB117)) | v140(constB117))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB117)) | v140(constB117))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29206,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB117)) | v140(constB117))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29207,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB117)) | v140(constB117)),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29206, 29205])).
% 51.39/33.89 tff(29208,plain,
% 51.39/33.89 (v140(constB117)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29207, 13404, 29204])).
% 51.39/33.89 tff(29209,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB117)) | (~v153(constB117)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB117)) | (~v153(constB117)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29210,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB117)) | (~v153(constB117)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29211,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB117)) | (~v153(constB117))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29210, 29209])).
% 51.39/33.89 tff(29212,plain,
% 51.39/33.89 (~v153(constB117)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29211, 13640, 29208])).
% 51.39/33.89 tff(29213,plain,
% 51.39/33.89 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB117) | v154(constB117) | (~v150(constB117)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB117) | v154(constB117) | (~v150(constB117)))),
% 51.39/33.89 inference(rewrite,[status(thm)],[])).
% 51.39/33.89 tff(29214,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB117) | v154(constB117) | (~v150(constB117)))),
% 51.39/33.89 inference(quant_inst,[status(thm)],[])).
% 51.39/33.89 tff(29215,plain,
% 51.39/33.89 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB117) | v154(constB117) | (~v150(constB117))),
% 51.39/33.89 inference(modus_ponens,[status(thm)],[29214, 29213])).
% 51.39/33.89 tff(29216,plain,
% 51.39/33.89 (v154(constB117) | (~v150(constB117))),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29215, 13654, 29212])).
% 51.39/33.89 tff(29217,plain,
% 51.39/33.89 (~v150(constB117)),
% 51.39/33.89 inference(unit_resolution,[status(thm)],[29216, 29177])).
% 51.39/33.89 tff(29218,plain,
% 51.39/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29219,plain,
% 51.39/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29220,plain,
% 51.39/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29219, 29218])).
% 51.39/33.90 tff(29221,plain,
% 51.39/33.90 (v150(constB117) | (~v152(constB118))),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29220, 13669, 15270])).
% 51.39/33.90 tff(29222,plain,
% 51.39/33.90 (~v152(constB118)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29221, 29217])).
% 51.39/33.90 tff(29223,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB118) | (~v153(constB118)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB118) | (~v153(constB118)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29224,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB118) | (~v153(constB118)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29225,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB118) | (~v153(constB118))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29224, 29223])).
% 51.39/33.90 tff(29226,plain,
% 51.39/33.90 (~v153(constB118)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29225, 13684, 29222])).
% 51.39/33.90 tff(29227,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB118)) | (~v141(constB118)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB118)) | (~v141(constB118)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29228,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB118)) | (~v141(constB118)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29229,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB118)) | (~v141(constB118))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29228, 29227])).
% 51.39/33.90 tff(29230,plain,
% 51.39/33.90 (~v141(constB118)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29229, 13553, 15290])).
% 51.39/33.90 tff(29231,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB118) | (~v155(constB118)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB118) | (~v155(constB118)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29232,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB118) | (~v155(constB118)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29233,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB118) | (~v155(constB118))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29232, 29231])).
% 51.39/33.90 tff(29234,plain,
% 51.39/33.90 (~v155(constB118)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29233, 13702, 29230])).
% 51.39/33.90 tff(29235,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB118) | (~v154(constB118)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB118) | (~v154(constB118)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29236,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB118) | (~v154(constB118)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29237,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB118) | (~v154(constB118))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29236, 29235])).
% 51.39/33.90 tff(29238,plain,
% 51.39/33.90 (~v154(constB118)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29237, 13716, 29234])).
% 51.39/33.90 tff(29239,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB118) | v154(constB118) | (~v150(constB118)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB118) | v154(constB118) | (~v150(constB118)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29240,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB118) | v154(constB118) | (~v150(constB118)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29241,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB118) | v154(constB118) | (~v150(constB118))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29240, 29239])).
% 51.39/33.90 tff(29242,plain,
% 51.39/33.90 (v153(constB118) | (~v150(constB118))),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29241, 13654, 29238])).
% 51.39/33.90 tff(29243,plain,
% 51.39/33.90 (~v150(constB118)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29242, 29226])).
% 51.39/33.90 tff(29244,plain,
% 51.39/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29245,plain,
% 51.39/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29246,plain,
% 51.39/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29245, 29244])).
% 51.39/33.90 tff(29247,plain,
% 51.39/33.90 (v150(constB118) | (~v152(constB119))),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29246, 13669, 15404])).
% 51.39/33.90 tff(29248,plain,
% 51.39/33.90 (~v152(constB119)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29247, 29243])).
% 51.39/33.90 tff(29249,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB119) | (~v164(constB119)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB119) | (~v164(constB119)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29250,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB119) | (~v164(constB119)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29251,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB119) | (~v164(constB119))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29250, 29249])).
% 51.39/33.90 tff(29252,plain,
% 51.39/33.90 (~v164(constB119)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29251, 13740, 29248])).
% 51.39/33.90 tff(29253,assumption,(v18(constB120)), introduced(assumption)).
% 51.39/33.90 tff(29254,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB120))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29255,plain,
% 51.39/33.90 ($false),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29254, 13324, 29253])).
% 51.39/33.90 tff(29256,plain,(~v18(constB120)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.90 tff(29257,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29258,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29259,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29258, 29257])).
% 51.39/33.90 tff(29260,plain,
% 51.39/33.90 (v22(constB120)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29259, 13337, 15562])).
% 51.39/33.90 tff(29261,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB120) | (~v22(constB120)) | (~v19(constB120)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB120) | (~v22(constB120)) | (~v19(constB120)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29262,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB120) | (~v22(constB120)) | (~v19(constB120)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29263,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB120) | (~v22(constB120)) | (~v19(constB120))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29262, 29261])).
% 51.39/33.90 tff(29264,plain,
% 51.39/33.90 (v18(constB120) | (~v19(constB120))),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29263, 13351, 29260])).
% 51.39/33.90 tff(29265,plain,
% 51.39/33.90 (~v19(constB120)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29264, 29256])).
% 51.39/33.90 tff(29266,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29267,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29268,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120)),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29267, 29266])).
% 51.39/33.90 tff(29269,plain,
% 51.39/33.90 (v13(constB120)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29268, 13363, 29265])).
% 51.39/33.90 tff(29270,plain,
% 51.39/33.90 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29271,plain,
% 51.39/33.90 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29272,plain,
% 51.39/33.90 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29271, 29270])).
% 51.39/33.90 tff(29273,plain,
% 51.39/33.90 (v9(constB119) | (~v13(constB120))),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29272, 13377, 15542])).
% 51.39/33.90 tff(29274,plain,
% 51.39/33.90 (v9(constB119)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29273, 29269])).
% 51.39/33.90 tff(29275,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v141(constB119))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB119) | (~v9(constB119)) | v141(constB119))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29276,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v141(constB119))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29277,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB119) | (~v9(constB119)) | v141(constB119)),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29276, 29275])).
% 51.39/33.90 tff(29278,plain,
% 51.39/33.90 ((~v9(constB119)) | v141(constB119)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29277, 13392, 15401])).
% 51.39/33.90 tff(29279,plain,
% 51.39/33.90 (v141(constB119)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29278, 29274])).
% 51.39/33.90 tff(29280,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB119)) | v140(constB119))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB119)) | v140(constB119))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29281,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB119)) | v140(constB119))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29282,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB119)) | v140(constB119)),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29281, 29280])).
% 51.39/33.90 tff(29283,plain,
% 51.39/33.90 (v140(constB119)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29282, 13404, 29279])).
% 51.39/33.90 tff(29284,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB119)) | (~v163(constB119)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB119)) | (~v163(constB119)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29285,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB119)) | (~v163(constB119)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29286,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB119)) | (~v163(constB119))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29285, 29284])).
% 51.39/33.90 tff(29287,plain,
% 51.39/33.90 (~v163(constB119)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29286, 13421, 29283])).
% 51.39/33.90 tff(29288,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB119) | v164(constB119) | (~v160(constB119)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB119) | v164(constB119) | (~v160(constB119)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29289,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB119) | v164(constB119) | (~v160(constB119)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29290,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB119) | v164(constB119) | (~v160(constB119))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29289, 29288])).
% 51.39/33.90 tff(29291,plain,
% 51.39/33.90 (v164(constB119) | (~v160(constB119))),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29290, 13754, 29287])).
% 51.39/33.90 tff(29292,plain,
% 51.39/33.90 (~v160(constB119)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29291, 29252])).
% 51.39/33.90 tff(29293,plain,
% 51.39/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29294,plain,
% 51.39/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29295,plain,
% 51.39/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29294, 29293])).
% 51.39/33.90 tff(29296,plain,
% 51.39/33.90 (v160(constB119) | (~v162(constB120))),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29295, 13769, 15542])).
% 51.39/33.90 tff(29297,plain,
% 51.39/33.90 (~v162(constB120)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29296, 29292])).
% 51.39/33.90 tff(29298,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB120) | (~v163(constB120)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB120) | (~v163(constB120)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29299,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB120) | (~v163(constB120)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29300,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB120) | (~v163(constB120))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29299, 29298])).
% 51.39/33.90 tff(29301,plain,
% 51.39/33.90 (~v163(constB120)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29300, 13784, 29297])).
% 51.39/33.90 tff(29302,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB120)) | (~v141(constB120)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB120)) | (~v141(constB120)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29303,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB120)) | (~v141(constB120)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29304,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB120)) | (~v141(constB120))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29303, 29302])).
% 51.39/33.90 tff(29305,plain,
% 51.39/33.90 (~v141(constB120)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29304, 13553, 15562])).
% 51.39/33.90 tff(29306,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB120) | (~v155(constB120)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB120) | (~v155(constB120)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29307,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB120) | (~v155(constB120)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29308,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB120) | (~v155(constB120))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29307, 29306])).
% 51.39/33.90 tff(29309,plain,
% 51.39/33.90 (~v155(constB120)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29308, 13702, 29305])).
% 51.39/33.90 tff(29310,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB120) | (~v164(constB120)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB120) | (~v164(constB120)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29311,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB120) | (~v164(constB120)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29312,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB120) | (~v164(constB120))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29311, 29310])).
% 51.39/33.90 tff(29313,plain,
% 51.39/33.90 (~v164(constB120)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29312, 13806, 29309])).
% 51.39/33.90 tff(29314,plain,
% 51.39/33.90 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB120) | v164(constB120) | (~v160(constB120)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB120) | v164(constB120) | (~v160(constB120)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29315,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB120) | v164(constB120) | (~v160(constB120)))),
% 51.39/33.90 inference(quant_inst,[status(thm)],[])).
% 51.39/33.90 tff(29316,plain,
% 51.39/33.90 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB120) | v164(constB120) | (~v160(constB120))),
% 51.39/33.90 inference(modus_ponens,[status(thm)],[29315, 29314])).
% 51.39/33.90 tff(29317,plain,
% 51.39/33.90 (v163(constB120) | (~v160(constB120))),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29316, 13754, 29313])).
% 51.39/33.90 tff(29318,plain,
% 51.39/33.90 (~v160(constB120)),
% 51.39/33.90 inference(unit_resolution,[status(thm)],[29317, 29301])).
% 51.39/33.90 tff(29319,plain,
% 51.39/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121)))),
% 51.39/33.90 inference(rewrite,[status(thm)],[])).
% 51.39/33.90 tff(29320,plain,
% 51.39/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29321,plain,
% 51.39/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29320, 29319])).
% 51.39/33.91 tff(29322,plain,
% 51.39/33.91 (v160(constB120) | (~v162(constB121))),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29321, 13769, 15604])).
% 51.39/33.91 tff(29323,plain,
% 51.39/33.91 (~v162(constB121)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29322, 29318])).
% 51.39/33.91 tff(29324,plain,
% 51.39/33.91 ($false),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29323, 29094])).
% 51.39/33.91 tff(29325,plain,(~(constB121 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.91 tff(29326,assumption,(constB65 = sK0_VarCurr), introduced(assumption)).
% 51.39/33.91 tff(29327,plain,
% 51.39/33.91 (v162(constB65) <=> v162(sK0_VarCurr)),
% 51.39/33.91 inference(monotonicity,[status(thm)],[29326])).
% 51.39/33.91 tff(29328,plain,
% 51.39/33.91 (v162(sK0_VarCurr) <=> v162(constB65)),
% 51.39/33.91 inference(symmetry,[status(thm)],[29327])).
% 51.39/33.91 tff(29329,plain,
% 51.39/33.91 (v162(constB65)),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[13315, 29328])).
% 51.39/33.91 tff(29330,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB59)) | (~v84(constB59, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB59)) | (~v84(constB59, bitIndex1)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29331,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB59)) | (~v84(constB59, bitIndex1)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29332,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB59)) | (~v84(constB59, bitIndex1))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29331, 29330])).
% 51.39/33.91 tff(29333,plain,
% 51.39/33.91 (~v145(constB59)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29332, 1091, 8059])).
% 51.39/33.91 tff(29334,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB59) | (~v144(constB59)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB59) | (~v144(constB59)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29335,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB59) | (~v144(constB59)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29336,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB59) | (~v144(constB59))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29335, 29334])).
% 51.39/33.91 tff(29337,plain,
% 51.39/33.91 (~v144(constB59)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29336, 13439, 29333])).
% 51.39/33.91 tff(29338,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB59) | (~v142(constB59)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB59) | (~v142(constB59)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29339,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB59) | (~v142(constB59)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29340,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB59) | (~v142(constB59))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29339, 29338])).
% 51.39/33.91 tff(29341,plain,
% 51.39/33.91 (~v142(constB59)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29340, 13453, 29337])).
% 51.39/33.91 tff(29342,assumption,(v18(constB60)), introduced(assumption)).
% 51.39/33.91 tff(29343,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB60))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29344,plain,
% 51.39/33.91 ($false),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29343, 13324, 29342])).
% 51.39/33.91 tff(29345,plain,(~v18(constB60)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.91 tff(29346,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29347,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29348,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29347, 29346])).
% 51.39/33.91 tff(29349,plain,
% 51.39/33.91 (v22(constB60)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29348, 13337, 8172])).
% 51.39/33.91 tff(29350,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB60) | (~v22(constB60)) | (~v19(constB60)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB60) | (~v22(constB60)) | (~v19(constB60)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29351,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB60) | (~v22(constB60)) | (~v19(constB60)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29352,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB60) | (~v22(constB60)) | (~v19(constB60))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29351, 29350])).
% 51.39/33.91 tff(29353,plain,
% 51.39/33.91 (v18(constB60) | (~v19(constB60))),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29352, 13351, 29349])).
% 51.39/33.91 tff(29354,plain,
% 51.39/33.91 (~v19(constB60)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29353, 29345])).
% 51.39/33.91 tff(29355,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29356,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29357,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60)),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29356, 29355])).
% 51.39/33.91 tff(29358,plain,
% 51.39/33.91 (v13(constB60)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29357, 13363, 29354])).
% 51.39/33.91 tff(29359,plain,
% 51.39/33.91 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29360,plain,
% 51.39/33.91 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29361,plain,
% 51.39/33.91 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29360, 29359])).
% 51.39/33.91 tff(29362,plain,
% 51.39/33.91 (v9(constB59) | (~v13(constB60))),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29361, 13377, 8152])).
% 51.39/33.91 tff(29363,plain,
% 51.39/33.91 (v9(constB59)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29362, 29358])).
% 51.39/33.91 tff(29364,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v141(constB59))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB59) | (~v9(constB59)) | v141(constB59))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29365,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v141(constB59))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29366,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB59) | (~v9(constB59)) | v141(constB59)),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29365, 29364])).
% 51.39/33.91 tff(29367,plain,
% 51.39/33.91 ((~v9(constB59)) | v141(constB59)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29366, 13392, 8004])).
% 51.39/33.91 tff(29368,plain,
% 51.39/33.91 (v141(constB59)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29367, 29363])).
% 51.39/33.91 tff(29369,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB59)) | v140(constB59))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB59)) | v140(constB59))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29370,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB59)) | v140(constB59))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29371,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB59)) | v140(constB59)),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29370, 29369])).
% 51.39/33.91 tff(29372,plain,
% 51.39/33.91 (v140(constB59)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29371, 13404, 29368])).
% 51.39/33.91 tff(29373,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB59)) | (~v140(constB59)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB59)) | (~v140(constB59)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29374,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB59)) | (~v140(constB59)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29375,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB59)) | (~v140(constB59))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29374, 29373])).
% 51.39/33.91 tff(29376,plain,
% 51.39/33.91 (~v138(constB59)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29375, 13495, 29372])).
% 51.39/33.91 tff(29377,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB59) | v142(constB59) | (~v135(constB59)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB59) | v142(constB59) | (~v135(constB59)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29378,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB59) | v142(constB59) | (~v135(constB59)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29379,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB59) | v142(constB59) | (~v135(constB59))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29378, 29377])).
% 51.39/33.91 tff(29380,plain,
% 51.39/33.91 (v142(constB59) | (~v135(constB59))),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29379, 13509, 29376])).
% 51.39/33.91 tff(29381,plain,
% 51.39/33.91 (~v135(constB59)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29380, 29341])).
% 51.39/33.91 tff(29382,plain,
% 51.39/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29383,plain,
% 51.39/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29384,plain,
% 51.39/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29383, 29382])).
% 51.39/33.91 tff(29385,plain,
% 51.39/33.91 (v135(constB59) | (~v137(constB60))),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29384, 13524, 8152])).
% 51.39/33.91 tff(29386,plain,
% 51.39/33.91 (~v137(constB60)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29385, 29381])).
% 51.39/33.91 tff(29387,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB60) | (~v138(constB60)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB60) | (~v138(constB60)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29388,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB60) | (~v138(constB60)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29389,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB60) | (~v138(constB60))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29388, 29387])).
% 51.39/33.91 tff(29390,plain,
% 51.39/33.91 (~v138(constB60)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29389, 13539, 29386])).
% 51.39/33.91 tff(29391,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB60)) | (~v141(constB60)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB60)) | (~v141(constB60)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29392,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB60)) | (~v141(constB60)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29393,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB60)) | (~v141(constB60))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29392, 29391])).
% 51.39/33.91 tff(29394,plain,
% 51.39/33.91 (~v141(constB60)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29393, 13553, 8172])).
% 51.39/33.91 tff(29395,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB60) | (~v144(constB60)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB60) | (~v144(constB60)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29396,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB60) | (~v144(constB60)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29397,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB60) | (~v144(constB60))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29396, 29395])).
% 51.39/33.91 tff(29398,plain,
% 51.39/33.91 (~v144(constB60)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29397, 13567, 29394])).
% 51.39/33.91 tff(29399,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB60) | (~v142(constB60)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB60) | (~v142(constB60)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29400,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB60) | (~v142(constB60)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29401,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB60) | (~v142(constB60))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29400, 29399])).
% 51.39/33.91 tff(29402,plain,
% 51.39/33.91 (~v142(constB60)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29401, 13453, 29398])).
% 51.39/33.91 tff(29403,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB60) | v142(constB60) | (~v135(constB60)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB60) | v142(constB60) | (~v135(constB60)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29404,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB60) | v142(constB60) | (~v135(constB60)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29405,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB60) | v142(constB60) | (~v135(constB60))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29404, 29403])).
% 51.39/33.91 tff(29406,plain,
% 51.39/33.91 (v138(constB60) | (~v135(constB60))),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29405, 13509, 29402])).
% 51.39/33.91 tff(29407,plain,
% 51.39/33.91 (~v135(constB60)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29406, 29390])).
% 51.39/33.91 tff(29408,plain,
% 51.39/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29409,plain,
% 51.39/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29410,plain,
% 51.39/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29409, 29408])).
% 51.39/33.91 tff(29411,plain,
% 51.39/33.91 (v135(constB60) | (~v137(constB61))),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29410, 13524, 8214])).
% 51.39/33.91 tff(29412,plain,
% 51.39/33.91 (~v137(constB61)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29411, 29407])).
% 51.39/33.91 tff(29413,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB61) | (~v154(constB61)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB61) | (~v154(constB61)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29414,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB61) | (~v154(constB61)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29415,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB61) | (~v154(constB61))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29414, 29413])).
% 51.39/33.91 tff(29416,plain,
% 51.39/33.91 (~v154(constB61)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29415, 13595, 29412])).
% 51.39/33.91 tff(29417,assumption,(v18(constB62)), introduced(assumption)).
% 51.39/33.91 tff(29418,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB62))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29419,plain,
% 51.39/33.91 ($false),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29418, 13324, 29417])).
% 51.39/33.91 tff(29420,plain,(~v18(constB62)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.91 tff(29421,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29422,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29423,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29422, 29421])).
% 51.39/33.91 tff(29424,plain,
% 51.39/33.91 (v22(constB62)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29423, 13337, 8368])).
% 51.39/33.91 tff(29425,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB62) | (~v22(constB62)) | (~v19(constB62)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB62) | (~v22(constB62)) | (~v19(constB62)))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29426,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB62) | (~v22(constB62)) | (~v19(constB62)))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.91 tff(29427,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB62) | (~v22(constB62)) | (~v19(constB62))),
% 51.39/33.91 inference(modus_ponens,[status(thm)],[29426, 29425])).
% 51.39/33.91 tff(29428,plain,
% 51.39/33.91 (v18(constB62) | (~v19(constB62))),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29427, 13351, 29424])).
% 51.39/33.91 tff(29429,plain,
% 51.39/33.91 (~v19(constB62)),
% 51.39/33.91 inference(unit_resolution,[status(thm)],[29428, 29420])).
% 51.39/33.91 tff(29430,plain,
% 51.39/33.91 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62))),
% 51.39/33.91 inference(rewrite,[status(thm)],[])).
% 51.39/33.91 tff(29431,plain,
% 51.39/33.91 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))),
% 51.39/33.91 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29432,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62)),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29431, 29430])).
% 51.39/33.92 tff(29433,plain,
% 51.39/33.92 (v13(constB62)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29432, 13363, 29429])).
% 51.39/33.92 tff(29434,plain,
% 51.39/33.92 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29435,plain,
% 51.39/33.92 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29436,plain,
% 51.39/33.92 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29435, 29434])).
% 51.39/33.92 tff(29437,plain,
% 51.39/33.92 (v9(constB61) | (~v13(constB62))),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29436, 13377, 8348])).
% 51.39/33.92 tff(29438,plain,
% 51.39/33.92 (v9(constB61)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29437, 29433])).
% 51.39/33.92 tff(29439,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v141(constB61))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB61) | (~v9(constB61)) | v141(constB61))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29440,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v141(constB61))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29441,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB61) | (~v9(constB61)) | v141(constB61)),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29440, 29439])).
% 51.39/33.92 tff(29442,plain,
% 51.39/33.92 ((~v9(constB61)) | v141(constB61)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29441, 13392, 8211])).
% 51.39/33.92 tff(29443,plain,
% 51.39/33.92 (v141(constB61)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29442, 29438])).
% 51.39/33.92 tff(29444,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB61)) | v140(constB61))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB61)) | v140(constB61))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29445,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB61)) | v140(constB61))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29446,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB61)) | v140(constB61)),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29445, 29444])).
% 51.39/33.92 tff(29447,plain,
% 51.39/33.92 (v140(constB61)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29446, 13404, 29443])).
% 51.39/33.92 tff(29448,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB61)) | (~v153(constB61)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB61)) | (~v153(constB61)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29449,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB61)) | (~v153(constB61)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29450,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB61)) | (~v153(constB61))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29449, 29448])).
% 51.39/33.92 tff(29451,plain,
% 51.39/33.92 (~v153(constB61)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29450, 13640, 29447])).
% 51.39/33.92 tff(29452,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB61) | v154(constB61) | (~v150(constB61)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB61) | v154(constB61) | (~v150(constB61)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29453,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB61) | v154(constB61) | (~v150(constB61)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29454,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB61) | v154(constB61) | (~v150(constB61))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29453, 29452])).
% 51.39/33.92 tff(29455,plain,
% 51.39/33.92 (v154(constB61) | (~v150(constB61))),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29454, 13654, 29451])).
% 51.39/33.92 tff(29456,plain,
% 51.39/33.92 (~v150(constB61)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29455, 29416])).
% 51.39/33.92 tff(29457,plain,
% 51.39/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29458,plain,
% 51.39/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29459,plain,
% 51.39/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29458, 29457])).
% 51.39/33.92 tff(29460,plain,
% 51.39/33.92 (v150(constB61) | (~v152(constB62))),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29459, 13669, 8348])).
% 51.39/33.92 tff(29461,plain,
% 51.39/33.92 (~v152(constB62)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29460, 29456])).
% 51.39/33.92 tff(29462,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB62) | (~v153(constB62)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB62) | (~v153(constB62)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29463,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB62) | (~v153(constB62)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29464,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB62) | (~v153(constB62))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29463, 29462])).
% 51.39/33.92 tff(29465,plain,
% 51.39/33.92 (~v153(constB62)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29464, 13684, 29461])).
% 51.39/33.92 tff(29466,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB62)) | (~v141(constB62)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB62)) | (~v141(constB62)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29467,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB62)) | (~v141(constB62)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29468,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB62)) | (~v141(constB62))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29467, 29466])).
% 51.39/33.92 tff(29469,plain,
% 51.39/33.92 (~v141(constB62)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29468, 13553, 8368])).
% 51.39/33.92 tff(29470,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB62) | (~v155(constB62)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB62) | (~v155(constB62)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29471,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB62) | (~v155(constB62)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29472,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB62) | (~v155(constB62))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29471, 29470])).
% 51.39/33.92 tff(29473,plain,
% 51.39/33.92 (~v155(constB62)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29472, 13702, 29469])).
% 51.39/33.92 tff(29474,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB62) | (~v154(constB62)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB62) | (~v154(constB62)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29475,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB62) | (~v154(constB62)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29476,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB62) | (~v154(constB62))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29475, 29474])).
% 51.39/33.92 tff(29477,plain,
% 51.39/33.92 (~v154(constB62)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29476, 13716, 29473])).
% 51.39/33.92 tff(29478,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB62) | v154(constB62) | (~v150(constB62)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB62) | v154(constB62) | (~v150(constB62)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29479,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB62) | v154(constB62) | (~v150(constB62)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29480,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB62) | v154(constB62) | (~v150(constB62))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29479, 29478])).
% 51.39/33.92 tff(29481,plain,
% 51.39/33.92 (v153(constB62) | (~v150(constB62))),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29480, 13654, 29477])).
% 51.39/33.92 tff(29482,plain,
% 51.39/33.92 (~v150(constB62)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29481, 29465])).
% 51.39/33.92 tff(29483,plain,
% 51.39/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29484,plain,
% 51.39/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29485,plain,
% 51.39/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29484, 29483])).
% 51.39/33.92 tff(29486,plain,
% 51.39/33.92 (v150(constB62) | (~v152(constB63))),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29485, 13669, 8410])).
% 51.39/33.92 tff(29487,plain,
% 51.39/33.92 (~v152(constB63)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29486, 29482])).
% 51.39/33.92 tff(29488,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB63) | (~v164(constB63)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB63) | (~v164(constB63)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29489,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB63) | (~v164(constB63)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29490,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB63) | (~v164(constB63))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29489, 29488])).
% 51.39/33.92 tff(29491,plain,
% 51.39/33.92 (~v164(constB63)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29490, 13740, 29487])).
% 51.39/33.92 tff(29492,assumption,(v18(constB64)), introduced(assumption)).
% 51.39/33.92 tff(29493,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB64))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29494,plain,
% 51.39/33.92 ($false),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29493, 13324, 29492])).
% 51.39/33.92 tff(29495,plain,(~v18(constB64)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.92 tff(29496,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29497,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29498,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29497, 29496])).
% 51.39/33.92 tff(29499,plain,
% 51.39/33.92 (v22(constB64)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29498, 13337, 8560])).
% 51.39/33.92 tff(29500,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB64) | (~v22(constB64)) | (~v19(constB64)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB64) | (~v22(constB64)) | (~v19(constB64)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29501,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB64) | (~v22(constB64)) | (~v19(constB64)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29502,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB64) | (~v22(constB64)) | (~v19(constB64))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29501, 29500])).
% 51.39/33.92 tff(29503,plain,
% 51.39/33.92 (v18(constB64) | (~v19(constB64))),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29502, 13351, 29499])).
% 51.39/33.92 tff(29504,plain,
% 51.39/33.92 (~v19(constB64)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29503, 29495])).
% 51.39/33.92 tff(29505,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29506,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29507,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64)),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29506, 29505])).
% 51.39/33.92 tff(29508,plain,
% 51.39/33.92 (v13(constB64)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29507, 13363, 29504])).
% 51.39/33.92 tff(29509,plain,
% 51.39/33.92 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29510,plain,
% 51.39/33.92 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29511,plain,
% 51.39/33.92 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29510, 29509])).
% 51.39/33.92 tff(29512,plain,
% 51.39/33.92 (v9(constB63) | (~v13(constB64))),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29511, 13377, 8540])).
% 51.39/33.92 tff(29513,plain,
% 51.39/33.92 (v9(constB63)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29512, 29508])).
% 51.39/33.92 tff(29514,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v141(constB63))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB63) | (~v9(constB63)) | v141(constB63))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29515,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v141(constB63))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29516,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB63) | (~v9(constB63)) | v141(constB63)),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29515, 29514])).
% 51.39/33.92 tff(29517,plain,
% 51.39/33.92 ((~v9(constB63)) | v141(constB63)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29516, 13392, 8407])).
% 51.39/33.92 tff(29518,plain,
% 51.39/33.92 (v141(constB63)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29517, 29513])).
% 51.39/33.92 tff(29519,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB63) | (~v141(constB63)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB63) | (~v141(constB63)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29520,plain,
% 51.39/33.92 (((~v141(constB63)) | v140(constB63)) <=> (v140(constB63) | (~v141(constB63)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29521,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB63)) | v140(constB63))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB63) | (~v141(constB63))))),
% 51.39/33.92 inference(monotonicity,[status(thm)],[29520])).
% 51.39/33.92 tff(29522,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB63)) | v140(constB63))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB63) | (~v141(constB63)))),
% 51.39/33.92 inference(transitivity,[status(thm)],[29521, 29519])).
% 51.39/33.92 tff(29523,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB63)) | v140(constB63))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29524,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB63) | (~v141(constB63))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29523, 29522])).
% 51.39/33.92 tff(29525,plain,
% 51.39/33.92 (v140(constB63)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29524, 13404, 29518])).
% 51.39/33.92 tff(29526,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB63)) | (~v163(constB63)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB63)) | (~v163(constB63)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29527,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB63)) | (~v163(constB63)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29528,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB63)) | (~v163(constB63))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29527, 29526])).
% 51.39/33.92 tff(29529,plain,
% 51.39/33.92 (~v163(constB63)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29528, 13421, 29525])).
% 51.39/33.92 tff(29530,plain,
% 51.39/33.92 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB63) | v164(constB63) | (~v160(constB63)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB63) | v164(constB63) | (~v160(constB63)))),
% 51.39/33.92 inference(rewrite,[status(thm)],[])).
% 51.39/33.92 tff(29531,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB63) | v164(constB63) | (~v160(constB63)))),
% 51.39/33.92 inference(quant_inst,[status(thm)],[])).
% 51.39/33.92 tff(29532,plain,
% 51.39/33.92 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB63) | v164(constB63) | (~v160(constB63))),
% 51.39/33.92 inference(modus_ponens,[status(thm)],[29531, 29530])).
% 51.39/33.92 tff(29533,plain,
% 51.39/33.92 (v164(constB63) | (~v160(constB63))),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29532, 13754, 29529])).
% 51.39/33.92 tff(29534,plain,
% 51.39/33.92 (~v160(constB63)),
% 51.39/33.92 inference(unit_resolution,[status(thm)],[29533, 29491])).
% 51.39/33.92 tff(29535,plain,
% 51.39/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29536,plain,
% 51.39/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29537,plain,
% 51.39/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29536, 29535])).
% 51.39/33.93 tff(29538,plain,
% 51.39/33.93 (v160(constB63) | (~v162(constB64))),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29537, 13769, 8540])).
% 51.39/33.93 tff(29539,plain,
% 51.39/33.93 (~v162(constB64)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29538, 29534])).
% 51.39/33.93 tff(29540,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB64) | (~v163(constB64)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB64) | (~v163(constB64)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29541,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB64) | (~v163(constB64)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29542,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB64) | (~v163(constB64))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29541, 29540])).
% 51.39/33.93 tff(29543,plain,
% 51.39/33.93 (~v163(constB64)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29542, 13784, 29539])).
% 51.39/33.93 tff(29544,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB64)) | (~v141(constB64)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB64)) | (~v141(constB64)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29545,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB64)) | (~v141(constB64)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29546,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB64)) | (~v141(constB64))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29545, 29544])).
% 51.39/33.93 tff(29547,plain,
% 51.39/33.93 (~v141(constB64)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29546, 13553, 8560])).
% 51.39/33.93 tff(29548,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB64) | (~v155(constB64)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB64) | (~v155(constB64)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29549,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB64) | (~v155(constB64)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29550,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB64) | (~v155(constB64))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29549, 29548])).
% 51.39/33.93 tff(29551,plain,
% 51.39/33.93 (~v155(constB64)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29550, 13702, 29547])).
% 51.39/33.93 tff(29552,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB64) | (~v164(constB64)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB64) | (~v164(constB64)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29553,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB64) | (~v164(constB64)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29554,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB64) | (~v164(constB64))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29553, 29552])).
% 51.39/33.93 tff(29555,plain,
% 51.39/33.93 (~v164(constB64)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29554, 13806, 29551])).
% 51.39/33.93 tff(29556,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB64) | v164(constB64) | (~v160(constB64)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB64) | v164(constB64) | (~v160(constB64)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29557,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB64) | v164(constB64) | (~v160(constB64)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29558,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB64) | v164(constB64) | (~v160(constB64))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29557, 29556])).
% 51.39/33.93 tff(29559,plain,
% 51.39/33.93 (v163(constB64) | (~v160(constB64))),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29558, 13754, 29555])).
% 51.39/33.93 tff(29560,plain,
% 51.39/33.93 (~v160(constB64)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29559, 29543])).
% 51.39/33.93 tff(29561,plain,
% 51.39/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29562,plain,
% 51.39/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29563,plain,
% 51.39/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29562, 29561])).
% 51.39/33.93 tff(29564,plain,
% 51.39/33.93 (v160(constB64) | (~v162(constB65))),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29563, 13769, 8602])).
% 51.39/33.93 tff(29565,plain,
% 51.39/33.93 (~v162(constB65)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29564, 29560])).
% 51.39/33.93 tff(29566,plain,
% 51.39/33.93 ($false),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29565, 29329])).
% 51.39/33.93 tff(29567,plain,(~(constB65 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.93 tff(29568,assumption,(constB61 = sK0_VarCurr), introduced(assumption)).
% 51.39/33.93 tff(29569,plain,
% 51.39/33.93 (v162(constB61) <=> v162(sK0_VarCurr)),
% 51.39/33.93 inference(monotonicity,[status(thm)],[29568])).
% 51.39/33.93 tff(29570,plain,
% 51.39/33.93 (v162(sK0_VarCurr) <=> v162(constB61)),
% 51.39/33.93 inference(symmetry,[status(thm)],[29569])).
% 51.39/33.93 tff(29571,plain,
% 51.39/33.93 (v162(constB61)),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[13315, 29570])).
% 51.39/33.93 tff(29572,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB55) | (~v144(constB55)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB55) | (~v144(constB55)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29573,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB55) | (~v144(constB55)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29574,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB55) | (~v144(constB55))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29573, 29572])).
% 51.39/33.93 tff(29575,plain,
% 51.39/33.93 (~v144(constB55)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29574, 13439, 7763])).
% 51.39/33.93 tff(29576,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB55) | (~v142(constB55)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB55) | (~v142(constB55)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29577,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB55) | (~v142(constB55)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29578,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB55) | (~v142(constB55))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29577, 29576])).
% 51.39/33.93 tff(29579,plain,
% 51.39/33.93 (~v142(constB55)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29578, 13453, 29575])).
% 51.39/33.93 tff(29580,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB55)) | (~v140(constB55)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB55)) | (~v140(constB55)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29581,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB55)) | (~v140(constB55)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29582,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB55)) | (~v140(constB55))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29581, 29580])).
% 51.39/33.93 tff(29583,plain,
% 51.39/33.93 (~v138(constB55)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29582, 13495, 25419])).
% 51.39/33.93 tff(29584,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB55) | v142(constB55) | (~v135(constB55)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB55) | v142(constB55) | (~v135(constB55)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29585,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB55) | v142(constB55) | (~v135(constB55)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29586,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB55) | v142(constB55) | (~v135(constB55))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29585, 29584])).
% 51.39/33.93 tff(29587,plain,
% 51.39/33.93 (v142(constB55) | (~v135(constB55))),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29586, 13509, 29583])).
% 51.39/33.93 tff(29588,plain,
% 51.39/33.93 (~v135(constB55)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29587, 29579])).
% 51.39/33.93 tff(29589,plain,
% 51.39/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29590,plain,
% 51.39/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29591,plain,
% 51.39/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29590, 29589])).
% 51.39/33.93 tff(29592,plain,
% 51.39/33.93 (v135(constB55) | (~v137(constB56))),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29591, 13524, 7705])).
% 51.39/33.93 tff(29593,plain,
% 51.39/33.93 (~v137(constB56)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29592, 29588])).
% 51.39/33.93 tff(29594,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB56) | (~v138(constB56)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB56) | (~v138(constB56)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29595,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB56) | (~v138(constB56)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29596,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB56) | (~v138(constB56))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29595, 29594])).
% 51.39/33.93 tff(29597,plain,
% 51.39/33.93 (~v138(constB56)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29596, 13539, 29593])).
% 51.39/33.93 tff(29598,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB56) | (~v144(constB56)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB56) | (~v144(constB56)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29599,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB56) | (~v144(constB56)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29600,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB56) | (~v144(constB56))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29599, 29598])).
% 51.39/33.93 tff(29601,plain,
% 51.39/33.93 (~v144(constB56)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29600, 13567, 25441])).
% 51.39/33.93 tff(29602,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB56) | (~v142(constB56)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB56) | (~v142(constB56)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29603,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB56) | (~v142(constB56)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29604,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB56) | (~v142(constB56))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29603, 29602])).
% 51.39/33.93 tff(29605,plain,
% 51.39/33.93 (~v142(constB56)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29604, 13453, 29601])).
% 51.39/33.93 tff(29606,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB56) | v142(constB56) | (~v135(constB56)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB56) | v142(constB56) | (~v135(constB56)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29607,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB56) | v142(constB56) | (~v135(constB56)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29608,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB56) | v142(constB56) | (~v135(constB56))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29607, 29606])).
% 51.39/33.93 tff(29609,plain,
% 51.39/33.93 (v138(constB56) | (~v135(constB56))),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29608, 13509, 29605])).
% 51.39/33.93 tff(29610,plain,
% 51.39/33.93 (~v135(constB56)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29609, 29597])).
% 51.39/33.93 tff(29611,plain,
% 51.39/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29612,plain,
% 51.39/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29613,plain,
% 51.39/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29612, 29611])).
% 51.39/33.93 tff(29614,plain,
% 51.39/33.93 (v135(constB56) | (~v137(constB57))),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29613, 13524, 7794])).
% 51.39/33.93 tff(29615,plain,
% 51.39/33.93 (~v137(constB57)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29614, 29610])).
% 51.39/33.93 tff(29616,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB57) | (~v154(constB57)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB57) | (~v154(constB57)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29617,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB57) | (~v154(constB57)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29618,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB57) | (~v154(constB57))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29617, 29616])).
% 51.39/33.93 tff(29619,plain,
% 51.39/33.93 (~v154(constB57)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29618, 13595, 29615])).
% 51.39/33.93 tff(29620,assumption,(v18(constB58)), introduced(assumption)).
% 51.39/33.93 tff(29621,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB58))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29622,plain,
% 51.39/33.93 ($false),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29621, 13324, 29620])).
% 51.39/33.93 tff(29623,plain,(~v18(constB58)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.93 tff(29624,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29625,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29626,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29625, 29624])).
% 51.39/33.93 tff(29627,plain,
% 51.39/33.93 (v22(constB58)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29626, 13337, 7965])).
% 51.39/33.93 tff(29628,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB58) | (~v22(constB58)) | (~v19(constB58)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB58) | (~v22(constB58)) | (~v19(constB58)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29629,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB58) | (~v22(constB58)) | (~v19(constB58)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29630,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB58) | (~v22(constB58)) | (~v19(constB58))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29629, 29628])).
% 51.39/33.93 tff(29631,plain,
% 51.39/33.93 (v18(constB58) | (~v19(constB58))),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29630, 13351, 29627])).
% 51.39/33.93 tff(29632,plain,
% 51.39/33.93 (~v19(constB58)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29631, 29623])).
% 51.39/33.93 tff(29633,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29634,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29635,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58)),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29634, 29633])).
% 51.39/33.93 tff(29636,plain,
% 51.39/33.93 (v13(constB58)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29635, 13363, 29632])).
% 51.39/33.93 tff(29637,plain,
% 51.39/33.93 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29638,plain,
% 51.39/33.93 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58)))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29639,plain,
% 51.39/33.93 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58))),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29638, 29637])).
% 51.39/33.93 tff(29640,plain,
% 51.39/33.93 (v9(constB57) | (~v13(constB58))),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29639, 13377, 7945])).
% 51.39/33.93 tff(29641,plain,
% 51.39/33.93 (v9(constB57)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29640, 29636])).
% 51.39/33.93 tff(29642,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v141(constB57))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB57) | (~v9(constB57)) | v141(constB57))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29643,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v141(constB57))),
% 51.39/33.93 inference(quant_inst,[status(thm)],[])).
% 51.39/33.93 tff(29644,plain,
% 51.39/33.93 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB57) | (~v9(constB57)) | v141(constB57)),
% 51.39/33.93 inference(modus_ponens,[status(thm)],[29643, 29642])).
% 51.39/33.93 tff(29645,plain,
% 51.39/33.93 ((~v9(constB57)) | v141(constB57)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29644, 13392, 7791])).
% 51.39/33.93 tff(29646,plain,
% 51.39/33.93 (v141(constB57)),
% 51.39/33.93 inference(unit_resolution,[status(thm)],[29645, 29641])).
% 51.39/33.93 tff(29647,plain,
% 51.39/33.93 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB57) | (~v141(constB57)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB57) | (~v141(constB57)))),
% 51.39/33.93 inference(rewrite,[status(thm)],[])).
% 51.39/33.93 tff(29648,plain,
% 51.39/33.93 (((~v141(constB57)) | v140(constB57)) <=> (v140(constB57) | (~v141(constB57)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29649,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB57)) | v140(constB57))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB57) | (~v141(constB57))))),
% 51.39/33.94 inference(monotonicity,[status(thm)],[29648])).
% 51.39/33.94 tff(29650,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB57)) | v140(constB57))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB57) | (~v141(constB57)))),
% 51.39/33.94 inference(transitivity,[status(thm)],[29649, 29647])).
% 51.39/33.94 tff(29651,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB57)) | v140(constB57))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29652,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB57) | (~v141(constB57))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29651, 29650])).
% 51.39/33.94 tff(29653,plain,
% 51.39/33.94 (v140(constB57)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29652, 13404, 29646])).
% 51.39/33.94 tff(29654,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB57)) | (~v153(constB57)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB57)) | (~v153(constB57)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29655,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB57)) | (~v153(constB57)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29656,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB57)) | (~v153(constB57))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29655, 29654])).
% 51.39/33.94 tff(29657,plain,
% 51.39/33.94 (~v153(constB57)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29656, 13640, 29653])).
% 51.39/33.94 tff(29658,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB57) | v154(constB57) | (~v150(constB57)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB57) | v154(constB57) | (~v150(constB57)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29659,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB57) | v154(constB57) | (~v150(constB57)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29660,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB57) | v154(constB57) | (~v150(constB57))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29659, 29658])).
% 51.39/33.94 tff(29661,plain,
% 51.39/33.94 (v154(constB57) | (~v150(constB57))),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29660, 13654, 29657])).
% 51.39/33.94 tff(29662,plain,
% 51.39/33.94 (~v150(constB57)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29661, 29619])).
% 51.39/33.94 tff(29663,plain,
% 51.39/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29664,plain,
% 51.39/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29665,plain,
% 51.39/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29664, 29663])).
% 51.39/33.94 tff(29666,plain,
% 51.39/33.94 (v150(constB57) | (~v152(constB58))),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29665, 13669, 7945])).
% 51.39/33.94 tff(29667,plain,
% 51.39/33.94 (~v152(constB58)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29666, 29662])).
% 51.39/33.94 tff(29668,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB58) | (~v153(constB58)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB58) | (~v153(constB58)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29669,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB58) | (~v153(constB58)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29670,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB58) | (~v153(constB58))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29669, 29668])).
% 51.39/33.94 tff(29671,plain,
% 51.39/33.94 (~v153(constB58)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29670, 13684, 29667])).
% 51.39/33.94 tff(29672,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB58)) | (~v141(constB58)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB58)) | (~v141(constB58)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29673,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB58)) | (~v141(constB58)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29674,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB58)) | (~v141(constB58))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29673, 29672])).
% 51.39/33.94 tff(29675,plain,
% 51.39/33.94 (~v141(constB58)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29674, 13553, 7965])).
% 51.39/33.94 tff(29676,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB58) | (~v155(constB58)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB58) | (~v155(constB58)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29677,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB58) | (~v155(constB58)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29678,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB58) | (~v155(constB58))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29677, 29676])).
% 51.39/33.94 tff(29679,plain,
% 51.39/33.94 (~v155(constB58)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29678, 13702, 29675])).
% 51.39/33.94 tff(29680,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB58) | (~v154(constB58)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB58) | (~v154(constB58)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29681,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB58) | (~v154(constB58)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29682,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB58) | (~v154(constB58))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29681, 29680])).
% 51.39/33.94 tff(29683,plain,
% 51.39/33.94 (~v154(constB58)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29682, 13716, 29679])).
% 51.39/33.94 tff(29684,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB58) | v154(constB58) | (~v150(constB58)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB58) | v154(constB58) | (~v150(constB58)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29685,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB58) | v154(constB58) | (~v150(constB58)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29686,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB58) | v154(constB58) | (~v150(constB58))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29685, 29684])).
% 51.39/33.94 tff(29687,plain,
% 51.39/33.94 (v153(constB58) | (~v150(constB58))),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29686, 13654, 29683])).
% 51.39/33.94 tff(29688,plain,
% 51.39/33.94 (~v150(constB58)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29687, 29671])).
% 51.39/33.94 tff(29689,plain,
% 51.39/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29690,plain,
% 51.39/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29691,plain,
% 51.39/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29690, 29689])).
% 51.39/33.94 tff(29692,plain,
% 51.39/33.94 (v150(constB58) | (~v152(constB59))),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29691, 13669, 8007])).
% 51.39/33.94 tff(29693,plain,
% 51.39/33.94 (~v152(constB59)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29692, 29688])).
% 51.39/33.94 tff(29694,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB59) | (~v164(constB59)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB59) | (~v164(constB59)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29695,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB59) | (~v164(constB59)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29696,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB59) | (~v164(constB59))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29695, 29694])).
% 51.39/33.94 tff(29697,plain,
% 51.39/33.94 (~v164(constB59)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29696, 13740, 29693])).
% 51.39/33.94 tff(29698,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB59)) | (~v163(constB59)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB59)) | (~v163(constB59)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29699,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB59)) | (~v163(constB59)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29700,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB59)) | (~v163(constB59))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29699, 29698])).
% 51.39/33.94 tff(29701,plain,
% 51.39/33.94 (~v163(constB59)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29700, 13421, 29372])).
% 51.39/33.94 tff(29702,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB59) | v164(constB59) | (~v160(constB59)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB59) | v164(constB59) | (~v160(constB59)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29703,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB59) | v164(constB59) | (~v160(constB59)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29704,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB59) | v164(constB59) | (~v160(constB59))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29703, 29702])).
% 51.39/33.94 tff(29705,plain,
% 51.39/33.94 (v164(constB59) | (~v160(constB59))),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29704, 13754, 29701])).
% 51.39/33.94 tff(29706,plain,
% 51.39/33.94 (~v160(constB59)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29705, 29697])).
% 51.39/33.94 tff(29707,plain,
% 51.39/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29708,plain,
% 51.39/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29709,plain,
% 51.39/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29708, 29707])).
% 51.39/33.94 tff(29710,plain,
% 51.39/33.94 (v160(constB59) | (~v162(constB60))),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29709, 13769, 8152])).
% 51.39/33.94 tff(29711,plain,
% 51.39/33.94 (~v162(constB60)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29710, 29706])).
% 51.39/33.94 tff(29712,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB60) | (~v163(constB60)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB60) | (~v163(constB60)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29713,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB60) | (~v163(constB60)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29714,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB60) | (~v163(constB60))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29713, 29712])).
% 51.39/33.94 tff(29715,plain,
% 51.39/33.94 (~v163(constB60)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29714, 13784, 29711])).
% 51.39/33.94 tff(29716,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB60) | (~v155(constB60)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB60) | (~v155(constB60)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29717,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB60) | (~v155(constB60)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29718,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB60) | (~v155(constB60))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29717, 29716])).
% 51.39/33.94 tff(29719,plain,
% 51.39/33.94 (~v155(constB60)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29718, 13702, 29394])).
% 51.39/33.94 tff(29720,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB60) | (~v164(constB60)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB60) | (~v164(constB60)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29721,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB60) | (~v164(constB60)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29722,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB60) | (~v164(constB60))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29721, 29720])).
% 51.39/33.94 tff(29723,plain,
% 51.39/33.94 (~v164(constB60)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29722, 13806, 29719])).
% 51.39/33.94 tff(29724,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB60) | v164(constB60) | (~v160(constB60)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB60) | v164(constB60) | (~v160(constB60)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29725,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB60) | v164(constB60) | (~v160(constB60)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29726,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB60) | v164(constB60) | (~v160(constB60))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29725, 29724])).
% 51.39/33.94 tff(29727,plain,
% 51.39/33.94 (v163(constB60) | (~v160(constB60))),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29726, 13754, 29723])).
% 51.39/33.94 tff(29728,plain,
% 51.39/33.94 (~v160(constB60)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29727, 29715])).
% 51.39/33.94 tff(29729,plain,
% 51.39/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29730,plain,
% 51.39/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29731,plain,
% 51.39/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29730, 29729])).
% 51.39/33.94 tff(29732,plain,
% 51.39/33.94 (v160(constB60) | (~v162(constB61))),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29731, 13769, 8214])).
% 51.39/33.94 tff(29733,plain,
% 51.39/33.94 (~v162(constB61)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29732, 29728])).
% 51.39/33.94 tff(29734,plain,
% 51.39/33.94 ($false),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29733, 29571])).
% 51.39/33.94 tff(29735,plain,(~(constB61 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.94 tff(29736,assumption,(constB172 = sK0_VarCurr), introduced(assumption)).
% 51.39/33.94 tff(29737,plain,
% 51.39/33.94 (v1(constB172) <=> v1(sK0_VarCurr)),
% 51.39/33.94 inference(monotonicity,[status(thm)],[29736])).
% 51.39/33.94 tff(29738,plain,
% 51.39/33.94 (v1(sK0_VarCurr) <=> v1(constB172)),
% 51.39/33.94 inference(symmetry,[status(thm)],[29737])).
% 51.39/33.94 tff(29739,plain,
% 51.39/33.94 ((~v1(sK0_VarCurr)) <=> (~v1(constB172))),
% 51.39/33.94 inference(monotonicity,[status(thm)],[29738])).
% 51.39/33.94 tff(29740,plain,
% 51.39/33.94 (~v1(constB172)),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[25725, 29739])).
% 51.39/33.94 tff(29741,plain,
% 51.39/33.94 ($false),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[21682, 29740])).
% 51.39/33.94 tff(29742,plain,(~(constB172 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.94 tff(29743,assumption,(constB199 = sK0_VarCurr), introduced(assumption)).
% 51.39/33.94 tff(29744,plain,
% 51.39/33.94 (v162(constB199) <=> v162(sK0_VarCurr)),
% 51.39/33.94 inference(monotonicity,[status(thm)],[29743])).
% 51.39/33.94 tff(29745,plain,
% 51.39/33.94 (v162(sK0_VarCurr) <=> v162(constB199)),
% 51.39/33.94 inference(symmetry,[status(thm)],[29744])).
% 51.39/33.94 tff(29746,plain,
% 51.39/33.94 (v162(constB199)),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[13315, 29745])).
% 51.39/33.94 tff(29747,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB193)) | (~v84(constB193, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB193)) | (~v84(constB193, bitIndex2)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29748,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB193)) | (~v84(constB193, bitIndex2)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29749,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB193)) | (~v84(constB193, bitIndex2))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29748, 29747])).
% 51.39/33.94 tff(29750,plain,
% 51.39/33.94 (~v145(constB193)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29749, 4483, 24798])).
% 51.39/33.94 tff(29751,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB193) | (~v144(constB193)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB193) | (~v144(constB193)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29752,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB193) | (~v144(constB193)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29753,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB193) | (~v144(constB193))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29752, 29751])).
% 51.39/33.94 tff(29754,plain,
% 51.39/33.94 (~v144(constB193)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29753, 13439, 29750])).
% 51.39/33.94 tff(29755,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB193) | (~v142(constB193)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB193) | (~v142(constB193)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29756,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB193) | (~v142(constB193)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29757,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB193) | (~v142(constB193))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29756, 29755])).
% 51.39/33.94 tff(29758,plain,
% 51.39/33.94 (~v142(constB193)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29757, 13453, 29754])).
% 51.39/33.94 tff(29759,assumption,(v18(constB194)), introduced(assumption)).
% 51.39/33.94 tff(29760,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB194))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29761,plain,
% 51.39/33.94 ($false),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29760, 13324, 29759])).
% 51.39/33.94 tff(29762,plain,(~v18(constB194)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.94 tff(29763,plain,
% 51.39/33.94 (v1(constB194) <=> v1(constB194)),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29764,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 51.39/33.94 tff(29765,plain,
% 51.39/33.94 (v1(constB194)),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29764, 29763])).
% 51.39/33.94 tff(29766,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29767,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29768,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29767, 29766])).
% 51.39/33.94 tff(29769,plain,
% 51.39/33.94 (v22(constB194)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29768, 13337, 29765])).
% 51.39/33.94 tff(29770,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB194) | (~v22(constB194)) | (~v19(constB194)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB194) | (~v22(constB194)) | (~v19(constB194)))),
% 51.39/33.94 inference(rewrite,[status(thm)],[])).
% 51.39/33.94 tff(29771,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB194) | (~v22(constB194)) | (~v19(constB194)))),
% 51.39/33.94 inference(quant_inst,[status(thm)],[])).
% 51.39/33.94 tff(29772,plain,
% 51.39/33.94 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB194) | (~v22(constB194)) | (~v19(constB194))),
% 51.39/33.94 inference(modus_ponens,[status(thm)],[29771, 29770])).
% 51.39/33.94 tff(29773,plain,
% 51.39/33.94 (v18(constB194) | (~v19(constB194))),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29772, 13351, 29769])).
% 51.39/33.94 tff(29774,plain,
% 51.39/33.94 (~v19(constB194)),
% 51.39/33.94 inference(unit_resolution,[status(thm)],[29773, 29762])).
% 51.39/33.94 tff(29775,plain,
% 51.39/33.94 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29776,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29777,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194)),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29776, 29775])).
% 51.39/33.95 tff(29778,plain,
% 51.39/33.95 (v13(constB194)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29777, 13363, 29774])).
% 51.39/33.95 tff(29779,plain,
% 51.39/33.95 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29780,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 51.39/33.95 tff(29781,plain,
% 51.39/33.95 (nextState(constB193, constB194)),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29780, 29779])).
% 51.39/33.95 tff(29782,plain,
% 51.39/33.95 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB193) | (~v13(constB194)) | (~nextState(constB193, constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB193) | (~v13(constB194)) | (~nextState(constB193, constB194)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29783,plain,
% 51.39/33.95 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB193) | (~v13(constB194)) | (~nextState(constB193, constB194)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29784,plain,
% 51.39/33.95 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB193) | (~v13(constB194)) | (~nextState(constB193, constB194))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29783, 29782])).
% 51.39/33.95 tff(29785,plain,
% 51.39/33.95 (v9(constB193) | (~v13(constB194))),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29784, 13377, 29781])).
% 51.39/33.95 tff(29786,plain,
% 51.39/33.95 (v9(constB193)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29785, 29778])).
% 51.39/33.95 tff(29787,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v141(constB193))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB193) | (~v9(constB193)) | v141(constB193))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29788,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v141(constB193))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29789,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB193) | (~v9(constB193)) | v141(constB193)),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29788, 29787])).
% 51.39/33.95 tff(29790,plain,
% 51.39/33.95 ((~v9(constB193)) | v141(constB193)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29789, 13392, 24774])).
% 51.39/33.95 tff(29791,plain,
% 51.39/33.95 (v141(constB193)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29790, 29786])).
% 51.39/33.95 tff(29792,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB193) | (~v141(constB193)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB193) | (~v141(constB193)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29793,plain,
% 51.39/33.95 (((~v141(constB193)) | v140(constB193)) <=> (v140(constB193) | (~v141(constB193)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29794,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB193)) | v140(constB193))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB193) | (~v141(constB193))))),
% 51.39/33.95 inference(monotonicity,[status(thm)],[29793])).
% 51.39/33.95 tff(29795,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB193)) | v140(constB193))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB193) | (~v141(constB193)))),
% 51.39/33.95 inference(transitivity,[status(thm)],[29794, 29792])).
% 51.39/33.95 tff(29796,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB193)) | v140(constB193))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29797,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB193) | (~v141(constB193))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29796, 29795])).
% 51.39/33.95 tff(29798,plain,
% 51.39/33.95 (v140(constB193)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29797, 13404, 29791])).
% 51.39/33.95 tff(29799,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB193)) | (~v140(constB193)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB193)) | (~v140(constB193)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29800,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB193)) | (~v140(constB193)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29801,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB193)) | (~v140(constB193))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29800, 29799])).
% 51.39/33.95 tff(29802,plain,
% 51.39/33.95 (~v138(constB193)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29801, 13495, 29798])).
% 51.39/33.95 tff(29803,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB193) | v142(constB193) | (~v135(constB193)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB193) | v142(constB193) | (~v135(constB193)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29804,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB193) | v142(constB193) | (~v135(constB193)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29805,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB193) | v142(constB193) | (~v135(constB193))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29804, 29803])).
% 51.39/33.95 tff(29806,plain,
% 51.39/33.95 (v142(constB193) | (~v135(constB193))),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29805, 13509, 29802])).
% 51.39/33.95 tff(29807,plain,
% 51.39/33.95 (~v135(constB193)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29806, 29758])).
% 51.39/33.95 tff(29808,plain,
% 51.39/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29809,plain,
% 51.39/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29810,plain,
% 51.39/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29809, 29808])).
% 51.39/33.95 tff(29811,plain,
% 51.39/33.95 (v135(constB193) | (~v137(constB194))),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29810, 13524, 29781])).
% 51.39/33.95 tff(29812,plain,
% 51.39/33.95 (~v137(constB194)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29811, 29807])).
% 51.39/33.95 tff(29813,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB194) | (~v138(constB194)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB194) | (~v138(constB194)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29814,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB194) | (~v138(constB194)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29815,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB194) | (~v138(constB194))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29814, 29813])).
% 51.39/33.95 tff(29816,plain,
% 51.39/33.95 (~v138(constB194)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29815, 13539, 29812])).
% 51.39/33.95 tff(29817,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB194)) | (~v141(constB194)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB194)) | (~v141(constB194)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29818,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB194)) | (~v141(constB194)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29819,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB194)) | (~v141(constB194))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29818, 29817])).
% 51.39/33.95 tff(29820,plain,
% 51.39/33.95 (~v141(constB194)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29819, 13553, 29765])).
% 51.39/33.95 tff(29821,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB194) | (~v144(constB194)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB194) | (~v144(constB194)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29822,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB194) | (~v144(constB194)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29823,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB194) | (~v144(constB194))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29822, 29821])).
% 51.39/33.95 tff(29824,plain,
% 51.39/33.95 (~v144(constB194)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29823, 13567, 29820])).
% 51.39/33.95 tff(29825,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB194) | (~v142(constB194)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB194) | (~v142(constB194)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29826,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB194) | (~v142(constB194)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29827,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB194) | (~v142(constB194))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29826, 29825])).
% 51.39/33.95 tff(29828,plain,
% 51.39/33.95 (~v142(constB194)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29827, 13453, 29824])).
% 51.39/33.95 tff(29829,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB194) | v142(constB194) | (~v135(constB194)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB194) | v142(constB194) | (~v135(constB194)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29830,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB194) | v142(constB194) | (~v135(constB194)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29831,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB194) | v142(constB194) | (~v135(constB194))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29830, 29829])).
% 51.39/33.95 tff(29832,plain,
% 51.39/33.95 (v138(constB194) | (~v135(constB194))),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29831, 13509, 29828])).
% 51.39/33.95 tff(29833,plain,
% 51.39/33.95 (~v135(constB194)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29832, 29816])).
% 51.39/33.95 tff(29834,plain,
% 51.39/33.95 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29835,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 51.39/33.95 tff(29836,plain,
% 51.39/33.95 (nextState(constB194, constB195)),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29835, 29834])).
% 51.39/33.95 tff(29837,plain,
% 51.39/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29838,plain,
% 51.39/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29839,plain,
% 51.39/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29838, 29837])).
% 51.39/33.95 tff(29840,plain,
% 51.39/33.95 (v135(constB194) | (~v137(constB195))),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29839, 13524, 29836])).
% 51.39/33.95 tff(29841,plain,
% 51.39/33.95 (~v137(constB195)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29840, 29833])).
% 51.39/33.95 tff(29842,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB195) | (~v154(constB195)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB195) | (~v154(constB195)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29843,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB195) | (~v154(constB195)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29844,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB195) | (~v154(constB195))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29843, 29842])).
% 51.39/33.95 tff(29845,plain,
% 51.39/33.95 (~v154(constB195)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29844, 13595, 29841])).
% 51.39/33.95 tff(29846,assumption,(v18(constB196)), introduced(assumption)).
% 51.39/33.95 tff(29847,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB196))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29848,plain,
% 51.39/33.95 ($false),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29847, 13324, 29846])).
% 51.39/33.95 tff(29849,plain,(~v18(constB196)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.95 tff(29850,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB196) | (~v1(constB196)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB196) | (~v1(constB196)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29851,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB196) | (~v1(constB196)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29852,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB196) | (~v1(constB196))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29851, 29850])).
% 51.39/33.95 tff(29853,plain,
% 51.39/33.95 (v22(constB196)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29852, 13337, 28036])).
% 51.39/33.95 tff(29854,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB196) | (~v22(constB196)) | (~v19(constB196)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB196) | (~v22(constB196)) | (~v19(constB196)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29855,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB196) | (~v22(constB196)) | (~v19(constB196)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29856,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB196) | (~v22(constB196)) | (~v19(constB196))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29855, 29854])).
% 51.39/33.95 tff(29857,plain,
% 51.39/33.95 (v18(constB196) | (~v19(constB196))),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29856, 13351, 29853])).
% 51.39/33.95 tff(29858,plain,
% 51.39/33.95 (~v19(constB196)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29857, 29849])).
% 51.39/33.95 tff(29859,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB196) | v19(constB196))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB196) | v19(constB196))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29860,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB196) | v19(constB196))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29861,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB196) | v19(constB196)),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29860, 29859])).
% 51.39/33.95 tff(29862,plain,
% 51.39/33.95 (v13(constB196)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29861, 13363, 29858])).
% 51.39/33.95 tff(29863,plain,
% 51.39/33.95 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29864,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_195_1')).
% 51.39/33.95 tff(29865,plain,
% 51.39/33.95 (nextState(constB195, constB196)),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29864, 29863])).
% 51.39/33.95 tff(29866,plain,
% 51.39/33.95 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB195) | (~v13(constB196)) | (~nextState(constB195, constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB195) | (~v13(constB196)) | (~nextState(constB195, constB196)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29867,plain,
% 51.39/33.95 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB195) | (~v13(constB196)) | (~nextState(constB195, constB196)))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29868,plain,
% 51.39/33.95 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB195) | (~v13(constB196)) | (~nextState(constB195, constB196))),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29867, 29866])).
% 51.39/33.95 tff(29869,plain,
% 51.39/33.95 (v9(constB195) | (~v13(constB196))),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29868, 13377, 29865])).
% 51.39/33.95 tff(29870,plain,
% 51.39/33.95 (v9(constB195)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29869, 29862])).
% 51.39/33.95 tff(29871,plain,
% 51.39/33.95 ((~v1(constB195)) <=> (~v1(constB195))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29872,axiom,(~v1(constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_195_1_1')).
% 51.39/33.95 tff(29873,plain,
% 51.39/33.95 (~v1(constB195)),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29872, 29871])).
% 51.39/33.95 tff(29874,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB195) | (~v9(constB195)) | v141(constB195))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB195) | (~v9(constB195)) | v141(constB195))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29875,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB195) | (~v9(constB195)) | v141(constB195))),
% 51.39/33.95 inference(quant_inst,[status(thm)],[])).
% 51.39/33.95 tff(29876,plain,
% 51.39/33.95 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB195) | (~v9(constB195)) | v141(constB195)),
% 51.39/33.95 inference(modus_ponens,[status(thm)],[29875, 29874])).
% 51.39/33.95 tff(29877,plain,
% 51.39/33.95 ((~v9(constB195)) | v141(constB195)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29876, 13392, 29873])).
% 51.39/33.95 tff(29878,plain,
% 51.39/33.95 (v141(constB195)),
% 51.39/33.95 inference(unit_resolution,[status(thm)],[29877, 29870])).
% 51.39/33.95 tff(29879,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB195) | (~v141(constB195)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB195) | (~v141(constB195)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29880,plain,
% 51.39/33.95 (((~v141(constB195)) | v140(constB195)) <=> (v140(constB195) | (~v141(constB195)))),
% 51.39/33.95 inference(rewrite,[status(thm)],[])).
% 51.39/33.95 tff(29881,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB195)) | v140(constB195))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB195) | (~v141(constB195))))),
% 51.39/33.95 inference(monotonicity,[status(thm)],[29880])).
% 51.39/33.95 tff(29882,plain,
% 51.39/33.95 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB195)) | v140(constB195))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB195) | (~v141(constB195)))),
% 51.39/33.96 inference(transitivity,[status(thm)],[29881, 29879])).
% 51.39/33.96 tff(29883,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB195)) | v140(constB195))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29884,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB195) | (~v141(constB195))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29883, 29882])).
% 51.39/33.96 tff(29885,plain,
% 51.39/33.96 (v140(constB195)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29884, 13404, 29878])).
% 51.39/33.96 tff(29886,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB195)) | (~v153(constB195)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB195)) | (~v153(constB195)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29887,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB195)) | (~v153(constB195)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29888,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB195)) | (~v153(constB195))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29887, 29886])).
% 51.39/33.96 tff(29889,plain,
% 51.39/33.96 (~v153(constB195)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29888, 13640, 29885])).
% 51.39/33.96 tff(29890,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB195) | v154(constB195) | (~v150(constB195)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB195) | v154(constB195) | (~v150(constB195)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29891,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB195) | v154(constB195) | (~v150(constB195)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29892,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB195) | v154(constB195) | (~v150(constB195))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29891, 29890])).
% 51.39/33.96 tff(29893,plain,
% 51.39/33.96 (v154(constB195) | (~v150(constB195))),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29892, 13654, 29889])).
% 51.39/33.96 tff(29894,plain,
% 51.39/33.96 (~v150(constB195)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29893, 29845])).
% 51.39/33.96 tff(29895,plain,
% 51.39/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29896,plain,
% 51.39/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29897,plain,
% 51.39/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29896, 29895])).
% 51.39/33.96 tff(29898,plain,
% 51.39/33.96 (v150(constB195) | (~v152(constB196))),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29897, 13669, 29865])).
% 51.39/33.96 tff(29899,plain,
% 51.39/33.96 (~v152(constB196)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29898, 29894])).
% 51.39/33.96 tff(29900,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB196) | (~v153(constB196)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB196) | (~v153(constB196)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29901,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB196) | (~v153(constB196)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29902,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB196) | (~v153(constB196))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29901, 29900])).
% 51.39/33.96 tff(29903,plain,
% 51.39/33.96 (~v153(constB196)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29902, 13684, 29899])).
% 51.39/33.96 tff(29904,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB196)) | (~v141(constB196)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB196)) | (~v141(constB196)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29905,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB196)) | (~v141(constB196)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29906,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB196)) | (~v141(constB196))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29905, 29904])).
% 51.39/33.96 tff(29907,plain,
% 51.39/33.96 (~v141(constB196)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29906, 13553, 28036])).
% 51.39/33.96 tff(29908,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB196) | (~v155(constB196)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB196) | (~v155(constB196)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29909,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB196) | (~v155(constB196)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29910,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB196) | (~v155(constB196))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29909, 29908])).
% 51.39/33.96 tff(29911,plain,
% 51.39/33.96 (~v155(constB196)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29910, 13702, 29907])).
% 51.39/33.96 tff(29912,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB196) | (~v154(constB196)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB196) | (~v154(constB196)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29913,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB196) | (~v154(constB196)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29914,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB196) | (~v154(constB196))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29913, 29912])).
% 51.39/33.96 tff(29915,plain,
% 51.39/33.96 (~v154(constB196)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29914, 13716, 29911])).
% 51.39/33.96 tff(29916,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB196) | v154(constB196) | (~v150(constB196)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB196) | v154(constB196) | (~v150(constB196)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29917,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB196) | v154(constB196) | (~v150(constB196)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29918,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB196) | v154(constB196) | (~v150(constB196))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29917, 29916])).
% 51.39/33.96 tff(29919,plain,
% 51.39/33.96 (v153(constB196) | (~v150(constB196))),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29918, 13654, 29915])).
% 51.39/33.96 tff(29920,plain,
% 51.39/33.96 (~v150(constB196)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29919, 29903])).
% 51.39/33.96 tff(29921,plain,
% 51.39/33.96 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29922,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_196_1')).
% 51.39/33.96 tff(29923,plain,
% 51.39/33.96 (nextState(constB196, constB197)),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29922, 29921])).
% 51.39/33.96 tff(29924,plain,
% 51.39/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29925,plain,
% 51.39/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29926,plain,
% 51.39/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29925, 29924])).
% 51.39/33.96 tff(29927,plain,
% 51.39/33.96 (v150(constB196) | (~v152(constB197))),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29926, 13669, 29923])).
% 51.39/33.96 tff(29928,plain,
% 51.39/33.96 (~v152(constB197)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29927, 29920])).
% 51.39/33.96 tff(29929,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB197) | (~v164(constB197)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB197) | (~v164(constB197)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29930,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB197) | (~v164(constB197)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29931,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB197) | (~v164(constB197))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29930, 29929])).
% 51.39/33.96 tff(29932,plain,
% 51.39/33.96 (~v164(constB197)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29931, 13740, 29928])).
% 51.39/33.96 tff(29933,assumption,(v18(constB198)), introduced(assumption)).
% 51.39/33.96 tff(29934,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB198))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29935,plain,
% 51.39/33.96 ($false),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29934, 13324, 29933])).
% 51.39/33.96 tff(29936,plain,(~v18(constB198)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.96 tff(29937,plain,
% 51.39/33.96 (v1(constB198) <=> v1(constB198)),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29938,axiom,(v1(constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 51.39/33.96 tff(29939,plain,
% 51.39/33.96 (v1(constB198)),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29938, 29937])).
% 51.39/33.96 tff(29940,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29941,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29942,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29941, 29940])).
% 51.39/33.96 tff(29943,plain,
% 51.39/33.96 (v22(constB198)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29942, 13337, 29939])).
% 51.39/33.96 tff(29944,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB198) | (~v22(constB198)) | (~v19(constB198)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB198) | (~v22(constB198)) | (~v19(constB198)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29945,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB198) | (~v22(constB198)) | (~v19(constB198)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29946,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB198) | (~v22(constB198)) | (~v19(constB198))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29945, 29944])).
% 51.39/33.96 tff(29947,plain,
% 51.39/33.96 (v18(constB198) | (~v19(constB198))),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29946, 13351, 29943])).
% 51.39/33.96 tff(29948,plain,
% 51.39/33.96 (~v19(constB198)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29947, 29936])).
% 51.39/33.96 tff(29949,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29950,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29951,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198)),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29950, 29949])).
% 51.39/33.96 tff(29952,plain,
% 51.39/33.96 (v13(constB198)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29951, 13363, 29948])).
% 51.39/33.96 tff(29953,plain,
% 51.39/33.96 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29954,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_197_1')).
% 51.39/33.96 tff(29955,plain,
% 51.39/33.96 (nextState(constB197, constB198)),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29954, 29953])).
% 51.39/33.96 tff(29956,plain,
% 51.39/33.96 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29957,plain,
% 51.39/33.96 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29958,plain,
% 51.39/33.96 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29957, 29956])).
% 51.39/33.96 tff(29959,plain,
% 51.39/33.96 (v9(constB197) | (~v13(constB198))),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29958, 13377, 29955])).
% 51.39/33.96 tff(29960,plain,
% 51.39/33.96 (v9(constB197)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29959, 29952])).
% 51.39/33.96 tff(29961,plain,
% 51.39/33.96 ((~v1(constB197)) <=> (~v1(constB197))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29962,axiom,(~v1(constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_197_1_1')).
% 51.39/33.96 tff(29963,plain,
% 51.39/33.96 (~v1(constB197)),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29962, 29961])).
% 51.39/33.96 tff(29964,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v141(constB197))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB197) | (~v9(constB197)) | v141(constB197))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29965,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v141(constB197))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29966,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB197) | (~v9(constB197)) | v141(constB197)),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29965, 29964])).
% 51.39/33.96 tff(29967,plain,
% 51.39/33.96 ((~v9(constB197)) | v141(constB197)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29966, 13392, 29963])).
% 51.39/33.96 tff(29968,plain,
% 51.39/33.96 (v141(constB197)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29967, 29960])).
% 51.39/33.96 tff(29969,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB197)) | v140(constB197))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB197)) | v140(constB197))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29970,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB197)) | v140(constB197))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29971,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB197)) | v140(constB197)),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29970, 29969])).
% 51.39/33.96 tff(29972,plain,
% 51.39/33.96 (v140(constB197)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29971, 13404, 29968])).
% 51.39/33.96 tff(29973,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB197)) | (~v163(constB197)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB197)) | (~v163(constB197)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29974,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB197)) | (~v163(constB197)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29975,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB197)) | (~v163(constB197))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29974, 29973])).
% 51.39/33.96 tff(29976,plain,
% 51.39/33.96 (~v163(constB197)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29975, 13421, 29972])).
% 51.39/33.96 tff(29977,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB197) | v164(constB197) | (~v160(constB197)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB197) | v164(constB197) | (~v160(constB197)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29978,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB197) | v164(constB197) | (~v160(constB197)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29979,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB197) | v164(constB197) | (~v160(constB197))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29978, 29977])).
% 51.39/33.96 tff(29980,plain,
% 51.39/33.96 (v164(constB197) | (~v160(constB197))),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29979, 13754, 29976])).
% 51.39/33.96 tff(29981,plain,
% 51.39/33.96 (~v160(constB197)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29980, 29932])).
% 51.39/33.96 tff(29982,plain,
% 51.39/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29983,plain,
% 51.39/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29984,plain,
% 51.39/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29983, 29982])).
% 51.39/33.96 tff(29985,plain,
% 51.39/33.96 (v160(constB197) | (~v162(constB198))),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29984, 13769, 29955])).
% 51.39/33.96 tff(29986,plain,
% 51.39/33.96 (~v162(constB198)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29985, 29981])).
% 51.39/33.96 tff(29987,plain,
% 51.39/33.96 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB198) | (~v163(constB198)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB198) | (~v163(constB198)))),
% 51.39/33.96 inference(rewrite,[status(thm)],[])).
% 51.39/33.96 tff(29988,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB198) | (~v163(constB198)))),
% 51.39/33.96 inference(quant_inst,[status(thm)],[])).
% 51.39/33.96 tff(29989,plain,
% 51.39/33.96 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB198) | (~v163(constB198))),
% 51.39/33.96 inference(modus_ponens,[status(thm)],[29988, 29987])).
% 51.39/33.96 tff(29990,plain,
% 51.39/33.96 (~v163(constB198)),
% 51.39/33.96 inference(unit_resolution,[status(thm)],[29989, 13784, 29986])).
% 51.39/33.97 tff(29991,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB198)) | (~v141(constB198)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB198)) | (~v141(constB198)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(29992,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB198)) | (~v141(constB198)))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(29993,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB198)) | (~v141(constB198))),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[29992, 29991])).
% 51.39/33.97 tff(29994,plain,
% 51.39/33.97 (~v141(constB198)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[29993, 13553, 29939])).
% 51.39/33.97 tff(29995,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB198) | (~v155(constB198)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB198) | (~v155(constB198)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(29996,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB198) | (~v155(constB198)))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(29997,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB198) | (~v155(constB198))),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[29996, 29995])).
% 51.39/33.97 tff(29998,plain,
% 51.39/33.97 (~v155(constB198)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[29997, 13702, 29994])).
% 51.39/33.97 tff(29999,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB198) | (~v164(constB198)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB198) | (~v164(constB198)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30000,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB198) | (~v164(constB198)))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30001,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB198) | (~v164(constB198))),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30000, 29999])).
% 51.39/33.97 tff(30002,plain,
% 51.39/33.97 (~v164(constB198)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30001, 13806, 29998])).
% 51.39/33.97 tff(30003,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB198) | v164(constB198) | (~v160(constB198)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB198) | v164(constB198) | (~v160(constB198)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30004,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB198) | v164(constB198) | (~v160(constB198)))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30005,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB198) | v164(constB198) | (~v160(constB198))),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30004, 30003])).
% 51.39/33.97 tff(30006,plain,
% 51.39/33.97 (v163(constB198) | (~v160(constB198))),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30005, 13754, 30002])).
% 51.39/33.97 tff(30007,plain,
% 51.39/33.97 (~v160(constB198)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30006, 29990])).
% 51.39/33.97 tff(30008,plain,
% 51.39/33.97 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30009,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_198_1')).
% 51.39/33.97 tff(30010,plain,
% 51.39/33.97 (nextState(constB198, constB199)),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30009, 30008])).
% 51.39/33.97 tff(30011,plain,
% 51.39/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30012,plain,
% 51.39/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199)))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30013,plain,
% 51.39/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199))),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30012, 30011])).
% 51.39/33.97 tff(30014,plain,
% 51.39/33.97 (v160(constB198) | (~v162(constB199))),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30013, 13769, 30010])).
% 51.39/33.97 tff(30015,plain,
% 51.39/33.97 (~v162(constB199)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30014, 30007])).
% 51.39/33.97 tff(30016,plain,
% 51.39/33.97 ($false),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30015, 29746])).
% 51.39/33.97 tff(30017,plain,(~(constB199 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.97 tff(30018,assumption,(constB160 = sK0_VarCurr), introduced(assumption)).
% 51.39/33.97 tff(30019,plain,
% 51.39/33.97 (v1(constB160) <=> v1(sK0_VarCurr)),
% 51.39/33.97 inference(monotonicity,[status(thm)],[30018])).
% 51.39/33.97 tff(30020,plain,
% 51.39/33.97 (v1(sK0_VarCurr) <=> v1(constB160)),
% 51.39/33.97 inference(symmetry,[status(thm)],[30019])).
% 51.39/33.97 tff(30021,plain,
% 51.39/33.97 ((~v1(sK0_VarCurr)) <=> (~v1(constB160))),
% 51.39/33.97 inference(monotonicity,[status(thm)],[30020])).
% 51.39/33.97 tff(30022,plain,
% 51.39/33.97 (~v1(constB160)),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[25725, 30021])).
% 51.39/33.97 tff(30023,plain,
% 51.39/33.97 ($false),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[20373, 30022])).
% 51.39/33.97 tff(30024,plain,(~(constB160 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.97 tff(30025,assumption,(constB78 = sK0_VarCurr), introduced(assumption)).
% 51.39/33.97 tff(30026,plain,
% 51.39/33.97 (v1(constB78) <=> v1(sK0_VarCurr)),
% 51.39/33.97 inference(monotonicity,[status(thm)],[30025])).
% 51.39/33.97 tff(30027,plain,
% 51.39/33.97 (v1(sK0_VarCurr) <=> v1(constB78)),
% 51.39/33.97 inference(symmetry,[status(thm)],[30026])).
% 51.39/33.97 tff(30028,plain,
% 51.39/33.97 ((~v1(sK0_VarCurr)) <=> (~v1(constB78))),
% 51.39/33.97 inference(monotonicity,[status(thm)],[30027])).
% 51.39/33.97 tff(30029,plain,
% 51.39/33.97 (~v1(constB78)),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[25725, 30028])).
% 51.39/33.97 tff(30030,plain,
% 51.39/33.97 ($false),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[10371, 30029])).
% 51.39/33.97 tff(30031,plain,(~(constB78 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.97 tff(30032,assumption,(constB31 = sK0_VarCurr), introduced(assumption)).
% 51.39/33.97 tff(30033,plain,
% 51.39/33.97 (v162(constB31) <=> v162(sK0_VarCurr)),
% 51.39/33.97 inference(monotonicity,[status(thm)],[30032])).
% 51.39/33.97 tff(30034,plain,
% 51.39/33.97 (v162(sK0_VarCurr) <=> v162(constB31)),
% 51.39/33.97 inference(symmetry,[status(thm)],[30033])).
% 51.39/33.97 tff(30035,plain,
% 51.39/33.97 (v162(constB31)),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[13315, 30034])).
% 51.39/33.97 tff(30036,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB25) | (~v144(constB25)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB25) | (~v144(constB25)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30037,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB25) | (~v144(constB25)))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30038,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB25) | (~v144(constB25))),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30037, 30036])).
% 51.39/33.97 tff(30039,plain,
% 51.39/33.97 (~v144(constB25)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30038, 13439, 4660])).
% 51.39/33.97 tff(30040,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB25) | (~v142(constB25)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30041,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB25) | (~v142(constB25)))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30042,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB25) | (~v142(constB25))),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30041, 30040])).
% 51.39/33.97 tff(30043,plain,
% 51.39/33.97 (~v142(constB25)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30042, 13453, 30039])).
% 51.39/33.97 tff(30044,assumption,(v18(constB26)), introduced(assumption)).
% 51.39/33.97 tff(30045,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB26))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30046,plain,
% 51.39/33.97 ($false),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30045, 13324, 30044])).
% 51.39/33.97 tff(30047,plain,(~v18(constB26)), inference(lemma,lemma(discharge,[]))).
% 51.39/33.97 tff(30048,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30049,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30050,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26))),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30049, 30048])).
% 51.39/33.97 tff(30051,plain,
% 51.39/33.97 (v22(constB26)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30050, 13337, 4705])).
% 51.39/33.97 tff(30052,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB26) | (~v22(constB26)) | (~v19(constB26)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB26) | (~v22(constB26)) | (~v19(constB26)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30053,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB26) | (~v22(constB26)) | (~v19(constB26)))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30054,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB26) | (~v22(constB26)) | (~v19(constB26))),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30053, 30052])).
% 51.39/33.97 tff(30055,plain,
% 51.39/33.97 (v18(constB26) | (~v19(constB26))),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30054, 13351, 30051])).
% 51.39/33.97 tff(30056,plain,
% 51.39/33.97 (~v19(constB26)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30055, 30047])).
% 51.39/33.97 tff(30057,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30058,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30059,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26)),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30058, 30057])).
% 51.39/33.97 tff(30060,plain,
% 51.39/33.97 (v13(constB26)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30059, 13363, 30056])).
% 51.39/33.97 tff(30061,plain,
% 51.39/33.97 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30062,plain,
% 51.39/33.97 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30063,plain,
% 51.39/33.97 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26))),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30062, 30061])).
% 51.39/33.97 tff(30064,plain,
% 51.39/33.97 (v9(constB25) | (~v13(constB26))),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30063, 13377, 4630])).
% 51.39/33.97 tff(30065,plain,
% 51.39/33.97 (v9(constB25)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30064, 30060])).
% 51.39/33.97 tff(30066,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v141(constB25))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB25) | (~v9(constB25)) | v141(constB25))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30067,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v141(constB25))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30068,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB25) | (~v9(constB25)) | v141(constB25)),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30067, 30066])).
% 51.39/33.97 tff(30069,plain,
% 51.39/33.97 ((~v9(constB25)) | v141(constB25)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30068, 13392, 4173])).
% 51.39/33.97 tff(30070,plain,
% 51.39/33.97 (v141(constB25)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30069, 30065])).
% 51.39/33.97 tff(30071,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB25)) | v140(constB25))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB25)) | v140(constB25))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30072,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB25)) | v140(constB25))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30073,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB25)) | v140(constB25)),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30072, 30071])).
% 51.39/33.97 tff(30074,plain,
% 51.39/33.97 (v140(constB25)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30073, 13404, 30070])).
% 51.39/33.97 tff(30075,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB25)) | (~v140(constB25)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB25)) | (~v140(constB25)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30076,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB25)) | (~v140(constB25)))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30077,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB25)) | (~v140(constB25))),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30076, 30075])).
% 51.39/33.97 tff(30078,plain,
% 51.39/33.97 (~v138(constB25)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30077, 13495, 30074])).
% 51.39/33.97 tff(30079,plain,
% 51.39/33.97 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB25) | v142(constB25) | (~v135(constB25)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB25) | v142(constB25) | (~v135(constB25)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30080,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB25) | v142(constB25) | (~v135(constB25)))),
% 51.39/33.97 inference(quant_inst,[status(thm)],[])).
% 51.39/33.97 tff(30081,plain,
% 51.39/33.97 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB25) | v142(constB25) | (~v135(constB25))),
% 51.39/33.97 inference(modus_ponens,[status(thm)],[30080, 30079])).
% 51.39/33.97 tff(30082,plain,
% 51.39/33.97 (v142(constB25) | (~v135(constB25))),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30081, 13509, 30078])).
% 51.39/33.97 tff(30083,plain,
% 51.39/33.97 (~v135(constB25)),
% 51.39/33.97 inference(unit_resolution,[status(thm)],[30082, 30043])).
% 51.39/33.97 tff(30084,plain,
% 51.39/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26)))),
% 51.39/33.97 inference(rewrite,[status(thm)],[])).
% 51.39/33.97 tff(30085,plain,
% 51.39/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26)))),
% 51.49/33.97 inference(quant_inst,[status(thm)],[])).
% 51.49/33.97 tff(30086,plain,
% 51.49/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26))),
% 51.49/33.97 inference(modus_ponens,[status(thm)],[30085, 30084])).
% 51.49/33.97 tff(30087,plain,
% 51.49/33.97 (v135(constB25) | (~v137(constB26))),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30086, 13524, 4630])).
% 51.49/33.97 tff(30088,plain,
% 51.49/33.97 (~v137(constB26)),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30087, 30083])).
% 51.49/33.97 tff(30089,plain,
% 51.49/33.97 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB26) | (~v138(constB26)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB26) | (~v138(constB26)))),
% 51.49/33.97 inference(rewrite,[status(thm)],[])).
% 51.49/33.97 tff(30090,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB26) | (~v138(constB26)))),
% 51.49/33.97 inference(quant_inst,[status(thm)],[])).
% 51.49/33.97 tff(30091,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB26) | (~v138(constB26))),
% 51.49/33.97 inference(modus_ponens,[status(thm)],[30090, 30089])).
% 51.49/33.97 tff(30092,plain,
% 51.49/33.97 (~v138(constB26)),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30091, 13539, 30088])).
% 51.49/33.97 tff(30093,plain,
% 51.49/33.97 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB26)) | (~v141(constB26)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB26)) | (~v141(constB26)))),
% 51.49/33.97 inference(rewrite,[status(thm)],[])).
% 51.49/33.97 tff(30094,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB26)) | (~v141(constB26)))),
% 51.49/33.97 inference(quant_inst,[status(thm)],[])).
% 51.49/33.97 tff(30095,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB26)) | (~v141(constB26))),
% 51.49/33.97 inference(modus_ponens,[status(thm)],[30094, 30093])).
% 51.49/33.97 tff(30096,plain,
% 51.49/33.97 (~v141(constB26)),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30095, 13553, 4705])).
% 51.49/33.97 tff(30097,plain,
% 51.49/33.97 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB26) | (~v144(constB26)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB26) | (~v144(constB26)))),
% 51.49/33.97 inference(rewrite,[status(thm)],[])).
% 51.49/33.97 tff(30098,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB26) | (~v144(constB26)))),
% 51.49/33.97 inference(quant_inst,[status(thm)],[])).
% 51.49/33.97 tff(30099,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB26) | (~v144(constB26))),
% 51.49/33.97 inference(modus_ponens,[status(thm)],[30098, 30097])).
% 51.49/33.97 tff(30100,plain,
% 51.49/33.97 (~v144(constB26)),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30099, 13567, 30096])).
% 51.49/33.97 tff(30101,plain,
% 51.49/33.97 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB26) | (~v142(constB26)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB26) | (~v142(constB26)))),
% 51.49/33.97 inference(rewrite,[status(thm)],[])).
% 51.49/33.97 tff(30102,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB26) | (~v142(constB26)))),
% 51.49/33.97 inference(quant_inst,[status(thm)],[])).
% 51.49/33.97 tff(30103,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB26) | (~v142(constB26))),
% 51.49/33.97 inference(modus_ponens,[status(thm)],[30102, 30101])).
% 51.49/33.97 tff(30104,plain,
% 51.49/33.97 (~v142(constB26)),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30103, 13453, 30100])).
% 51.49/33.97 tff(30105,plain,
% 51.49/33.97 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB26) | v142(constB26) | (~v135(constB26)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB26) | v142(constB26) | (~v135(constB26)))),
% 51.49/33.97 inference(rewrite,[status(thm)],[])).
% 51.49/33.97 tff(30106,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB26) | v142(constB26) | (~v135(constB26)))),
% 51.49/33.97 inference(quant_inst,[status(thm)],[])).
% 51.49/33.97 tff(30107,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB26) | v142(constB26) | (~v135(constB26))),
% 51.49/33.97 inference(modus_ponens,[status(thm)],[30106, 30105])).
% 51.49/33.97 tff(30108,plain,
% 51.49/33.97 (v138(constB26) | (~v135(constB26))),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30107, 13509, 30104])).
% 51.49/33.97 tff(30109,plain,
% 51.49/33.97 (~v135(constB26)),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30108, 30092])).
% 51.49/33.97 tff(30110,plain,
% 51.49/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27)))),
% 51.49/33.97 inference(rewrite,[status(thm)],[])).
% 51.49/33.97 tff(30111,plain,
% 51.49/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27)))),
% 51.49/33.97 inference(quant_inst,[status(thm)],[])).
% 51.49/33.97 tff(30112,plain,
% 51.49/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27))),
% 51.49/33.97 inference(modus_ponens,[status(thm)],[30111, 30110])).
% 51.49/33.97 tff(30113,plain,
% 51.49/33.97 (v135(constB26) | (~v137(constB27))),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30112, 13524, 4797])).
% 51.49/33.97 tff(30114,plain,
% 51.49/33.97 (~v137(constB27)),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30113, 30109])).
% 51.49/33.97 tff(30115,plain,
% 51.49/33.97 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB27) | (~v154(constB27)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB27) | (~v154(constB27)))),
% 51.49/33.97 inference(rewrite,[status(thm)],[])).
% 51.49/33.97 tff(30116,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB27) | (~v154(constB27)))),
% 51.49/33.97 inference(quant_inst,[status(thm)],[])).
% 51.49/33.97 tff(30117,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB27) | (~v154(constB27))),
% 51.49/33.97 inference(modus_ponens,[status(thm)],[30116, 30115])).
% 51.49/33.97 tff(30118,plain,
% 51.49/33.97 (~v154(constB27)),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30117, 13595, 30114])).
% 51.49/33.97 tff(30119,assumption,(v18(constB28)), introduced(assumption)).
% 51.49/33.97 tff(30120,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB28))),
% 51.49/33.97 inference(quant_inst,[status(thm)],[])).
% 51.49/33.97 tff(30121,plain,
% 51.49/33.97 ($false),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30120, 13324, 30119])).
% 51.49/33.97 tff(30122,plain,(~v18(constB28)), inference(lemma,lemma(discharge,[]))).
% 51.49/33.97 tff(30123,plain,
% 51.49/33.97 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28)))),
% 51.49/33.97 inference(rewrite,[status(thm)],[])).
% 51.49/33.97 tff(30124,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))),
% 51.49/33.97 inference(quant_inst,[status(thm)],[])).
% 51.49/33.97 tff(30125,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28))),
% 51.49/33.97 inference(modus_ponens,[status(thm)],[30124, 30123])).
% 51.49/33.97 tff(30126,plain,
% 51.49/33.97 (v22(constB28)),
% 51.49/33.97 inference(unit_resolution,[status(thm)],[30125, 13337, 4938])).
% 51.49/33.97 tff(30127,plain,
% 51.49/33.97 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB28) | (~v22(constB28)) | (~v19(constB28)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB28) | (~v22(constB28)) | (~v19(constB28)))),
% 51.49/33.97 inference(rewrite,[status(thm)],[])).
% 51.49/33.97 tff(30128,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB28) | (~v22(constB28)) | (~v19(constB28)))),
% 51.49/33.97 inference(quant_inst,[status(thm)],[])).
% 51.49/33.97 tff(30129,plain,
% 51.49/33.97 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB28) | (~v22(constB28)) | (~v19(constB28))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30128, 30127])).
% 51.49/33.98 tff(30130,plain,
% 51.49/33.98 (v18(constB28) | (~v19(constB28))),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30129, 13351, 30126])).
% 51.49/33.98 tff(30131,plain,
% 51.49/33.98 (~v19(constB28)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30130, 30122])).
% 51.49/33.98 tff(30132,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30133,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30134,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28)),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30133, 30132])).
% 51.49/33.98 tff(30135,plain,
% 51.49/33.98 (v13(constB28)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30134, 13363, 30131])).
% 51.49/33.98 tff(30136,plain,
% 51.49/33.98 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30137,plain,
% 51.49/33.98 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30138,plain,
% 51.49/33.98 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30137, 30136])).
% 51.49/33.98 tff(30139,plain,
% 51.49/33.98 (v9(constB27) | (~v13(constB28))),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30138, 13377, 4918])).
% 51.49/33.98 tff(30140,plain,
% 51.49/33.98 (v9(constB27)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30139, 30135])).
% 51.49/33.98 tff(30141,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v141(constB27))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB27) | (~v9(constB27)) | v141(constB27))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30142,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v141(constB27))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30143,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB27) | (~v9(constB27)) | v141(constB27)),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30142, 30141])).
% 51.49/33.98 tff(30144,plain,
% 51.49/33.98 ((~v9(constB27)) | v141(constB27)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30143, 13392, 4794])).
% 51.49/33.98 tff(30145,plain,
% 51.49/33.98 (v141(constB27)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30144, 30140])).
% 51.49/33.98 tff(30146,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB27)) | v140(constB27))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB27)) | v140(constB27))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30147,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB27)) | v140(constB27))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30148,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB27)) | v140(constB27)),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30147, 30146])).
% 51.49/33.98 tff(30149,plain,
% 51.49/33.98 (v140(constB27)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30148, 13404, 30145])).
% 51.49/33.98 tff(30150,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB27)) | (~v153(constB27)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB27)) | (~v153(constB27)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30151,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB27)) | (~v153(constB27)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30152,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB27)) | (~v153(constB27))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30151, 30150])).
% 51.49/33.98 tff(30153,plain,
% 51.49/33.98 (~v153(constB27)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30152, 13640, 30149])).
% 51.49/33.98 tff(30154,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB27) | v154(constB27) | (~v150(constB27)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB27) | v154(constB27) | (~v150(constB27)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30155,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB27) | v154(constB27) | (~v150(constB27)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30156,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB27) | v154(constB27) | (~v150(constB27))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30155, 30154])).
% 51.49/33.98 tff(30157,plain,
% 51.49/33.98 (v154(constB27) | (~v150(constB27))),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30156, 13654, 30153])).
% 51.49/33.98 tff(30158,plain,
% 51.49/33.98 (~v150(constB27)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30157, 30118])).
% 51.49/33.98 tff(30159,plain,
% 51.49/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30160,plain,
% 51.49/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30161,plain,
% 51.49/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30160, 30159])).
% 51.49/33.98 tff(30162,plain,
% 51.49/33.98 (v150(constB27) | (~v152(constB28))),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30161, 13669, 4918])).
% 51.49/33.98 tff(30163,plain,
% 51.49/33.98 (~v152(constB28)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30162, 30158])).
% 51.49/33.98 tff(30164,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB28) | (~v153(constB28)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB28) | (~v153(constB28)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30165,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB28) | (~v153(constB28)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30166,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB28) | (~v153(constB28))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30165, 30164])).
% 51.49/33.98 tff(30167,plain,
% 51.49/33.98 (~v153(constB28)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30166, 13684, 30163])).
% 51.49/33.98 tff(30168,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB28)) | (~v141(constB28)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB28)) | (~v141(constB28)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30169,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB28)) | (~v141(constB28)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30170,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB28)) | (~v141(constB28))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30169, 30168])).
% 51.49/33.98 tff(30171,plain,
% 51.49/33.98 (~v141(constB28)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30170, 13553, 4938])).
% 51.49/33.98 tff(30172,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB28) | (~v155(constB28)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB28) | (~v155(constB28)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30173,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB28) | (~v155(constB28)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30174,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB28) | (~v155(constB28))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30173, 30172])).
% 51.49/33.98 tff(30175,plain,
% 51.49/33.98 (~v155(constB28)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30174, 13702, 30171])).
% 51.49/33.98 tff(30176,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB28) | (~v154(constB28)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB28) | (~v154(constB28)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30177,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB28) | (~v154(constB28)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30178,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB28) | (~v154(constB28))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30177, 30176])).
% 51.49/33.98 tff(30179,plain,
% 51.49/33.98 (~v154(constB28)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30178, 13716, 30175])).
% 51.49/33.98 tff(30180,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB28) | v154(constB28) | (~v150(constB28)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB28) | v154(constB28) | (~v150(constB28)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30181,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB28) | v154(constB28) | (~v150(constB28)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30182,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB28) | v154(constB28) | (~v150(constB28))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30181, 30180])).
% 51.49/33.98 tff(30183,plain,
% 51.49/33.98 (v153(constB28) | (~v150(constB28))),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30182, 13654, 30179])).
% 51.49/33.98 tff(30184,plain,
% 51.49/33.98 (~v150(constB28)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30183, 30167])).
% 51.49/33.98 tff(30185,plain,
% 51.49/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30186,plain,
% 51.49/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30187,plain,
% 51.49/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30186, 30185])).
% 51.49/33.98 tff(30188,plain,
% 51.49/33.98 (v150(constB28) | (~v152(constB29))),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30187, 13669, 4980])).
% 51.49/33.98 tff(30189,plain,
% 51.49/33.98 (~v152(constB29)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30188, 30184])).
% 51.49/33.98 tff(30190,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB29) | (~v164(constB29)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB29) | (~v164(constB29)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30191,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB29) | (~v164(constB29)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30192,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB29) | (~v164(constB29))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30191, 30190])).
% 51.49/33.98 tff(30193,plain,
% 51.49/33.98 (~v164(constB29)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30192, 13740, 30189])).
% 51.49/33.98 tff(30194,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB29)) | (~v163(constB29)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB29)) | (~v163(constB29)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30195,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB29)) | (~v163(constB29)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30196,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB29)) | (~v163(constB29))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30195, 30194])).
% 51.49/33.98 tff(30197,plain,
% 51.49/33.98 (~v163(constB29)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30196, 13421, 13488])).
% 51.49/33.98 tff(30198,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB29) | v164(constB29) | (~v160(constB29)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB29) | v164(constB29) | (~v160(constB29)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30199,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB29) | v164(constB29) | (~v160(constB29)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30200,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB29) | v164(constB29) | (~v160(constB29))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30199, 30198])).
% 51.49/33.98 tff(30201,plain,
% 51.49/33.98 (v164(constB29) | (~v160(constB29))),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30200, 13754, 30197])).
% 51.49/33.98 tff(30202,plain,
% 51.49/33.98 (~v160(constB29)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30201, 30193])).
% 51.49/33.98 tff(30203,plain,
% 51.49/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30204,plain,
% 51.49/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30205,plain,
% 51.49/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30204, 30203])).
% 51.49/33.98 tff(30206,plain,
% 51.49/33.98 (v160(constB29) | (~v162(constB30))),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30205, 13769, 5124])).
% 51.49/33.98 tff(30207,plain,
% 51.49/33.98 (~v162(constB30)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30206, 30202])).
% 51.49/33.98 tff(30208,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB30) | (~v163(constB30)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB30) | (~v163(constB30)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30209,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB30) | (~v163(constB30)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30210,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB30) | (~v163(constB30))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30209, 30208])).
% 51.49/33.98 tff(30211,plain,
% 51.49/33.98 (~v163(constB30)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30210, 13784, 30207])).
% 51.49/33.98 tff(30212,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB30) | (~v155(constB30)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB30) | (~v155(constB30)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30213,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB30) | (~v155(constB30)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30214,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB30) | (~v155(constB30))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30213, 30212])).
% 51.49/33.98 tff(30215,plain,
% 51.49/33.98 (~v155(constB30)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30214, 13702, 13557])).
% 51.49/33.98 tff(30216,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB30) | (~v164(constB30)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB30) | (~v164(constB30)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30217,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB30) | (~v164(constB30)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30218,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB30) | (~v164(constB30))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30217, 30216])).
% 51.49/33.98 tff(30219,plain,
% 51.49/33.98 (~v164(constB30)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30218, 13806, 30215])).
% 51.49/33.98 tff(30220,plain,
% 51.49/33.98 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB30) | v164(constB30) | (~v160(constB30)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB30) | v164(constB30) | (~v160(constB30)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30221,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB30) | v164(constB30) | (~v160(constB30)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30222,plain,
% 51.49/33.98 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB30) | v164(constB30) | (~v160(constB30))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30221, 30220])).
% 51.49/33.98 tff(30223,plain,
% 51.49/33.98 (v163(constB30) | (~v160(constB30))),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30222, 13754, 30219])).
% 51.49/33.98 tff(30224,plain,
% 51.49/33.98 (~v160(constB30)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30223, 30211])).
% 51.49/33.98 tff(30225,plain,
% 51.49/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31)))),
% 51.49/33.98 inference(rewrite,[status(thm)],[])).
% 51.49/33.98 tff(30226,plain,
% 51.49/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31)))),
% 51.49/33.98 inference(quant_inst,[status(thm)],[])).
% 51.49/33.98 tff(30227,plain,
% 51.49/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31))),
% 51.49/33.98 inference(modus_ponens,[status(thm)],[30226, 30225])).
% 51.49/33.98 tff(30228,plain,
% 51.49/33.98 (v160(constB30) | (~v162(constB31))),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30227, 13769, 5186])).
% 51.49/33.98 tff(30229,plain,
% 51.49/33.98 (~v162(constB31)),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30228, 30224])).
% 51.49/33.98 tff(30230,plain,
% 51.49/33.98 ($false),
% 51.49/33.98 inference(unit_resolution,[status(thm)],[30229, 30035])).
% 51.49/33.98 tff(30231,plain,(~(constB31 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.49/33.98 tff(30232,assumption,(constB111 = sK0_VarCurr), introduced(assumption)).
% 51.49/33.98 tff(30233,plain,
% 51.49/33.98 (v162(constB111) <=> v162(sK0_VarCurr)),
% 51.49/33.99 inference(monotonicity,[status(thm)],[30232])).
% 51.49/33.99 tff(30234,plain,
% 51.49/33.99 (v162(sK0_VarCurr) <=> v162(constB111)),
% 51.49/33.99 inference(symmetry,[status(thm)],[30233])).
% 51.49/33.99 tff(30235,plain,
% 51.49/33.99 (v162(constB111)),
% 51.49/33.99 inference(modus_ponens,[status(thm)],[13315, 30234])).
% 51.49/33.99 tff(30236,plain,
% 51.49/33.99 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB105) | (~v144(constB105)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB105) | (~v144(constB105)))),
% 51.49/33.99 inference(rewrite,[status(thm)],[])).
% 51.49/33.99 tff(30237,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB105) | (~v144(constB105)))),
% 51.49/33.99 inference(quant_inst,[status(thm)],[])).
% 51.49/33.99 tff(30238,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB105) | (~v144(constB105))),
% 51.49/33.99 inference(modus_ponens,[status(thm)],[30237, 30236])).
% 51.49/33.99 tff(30239,plain,
% 51.49/33.99 (~v144(constB105)),
% 51.49/33.99 inference(unit_resolution,[status(thm)],[30238, 13439, 14104])).
% 51.49/33.99 tff(30240,plain,
% 51.49/33.99 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB105) | (~v142(constB105)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB105) | (~v142(constB105)))),
% 51.49/33.99 inference(rewrite,[status(thm)],[])).
% 51.49/33.99 tff(30241,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB105) | (~v142(constB105)))),
% 51.49/33.99 inference(quant_inst,[status(thm)],[])).
% 51.49/33.99 tff(30242,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB105) | (~v142(constB105))),
% 51.49/33.99 inference(modus_ponens,[status(thm)],[30241, 30240])).
% 51.49/33.99 tff(30243,plain,
% 51.49/33.99 (~v142(constB105)),
% 51.49/33.99 inference(unit_resolution,[status(thm)],[30242, 13453, 30239])).
% 51.49/33.99 tff(30244,plain,
% 51.49/33.99 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB103)) | (~v84(constB103, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB103)) | (~v84(constB103, bitIndex2)))),
% 51.49/33.99 inference(rewrite,[status(thm)],[])).
% 51.49/33.99 tff(30245,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB103)) | (~v84(constB103, bitIndex2)))),
% 51.49/33.99 inference(quant_inst,[status(thm)],[])).
% 51.49/33.99 tff(30246,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB103)) | (~v84(constB103, bitIndex2))),
% 51.49/33.99 inference(modus_ponens,[status(thm)],[30245, 30244])).
% 51.49/33.99 tff(30247,plain,
% 51.49/33.99 (~v145(constB103)),
% 51.49/33.99 inference(unit_resolution,[status(thm)],[30246, 4483, 13224])).
% 51.49/33.99 tff(30248,plain,
% 51.49/33.99 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB103) | (~v144(constB103)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB103) | (~v144(constB103)))),
% 51.49/33.99 inference(rewrite,[status(thm)],[])).
% 51.49/33.99 tff(30249,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB103) | (~v144(constB103)))),
% 51.49/33.99 inference(quant_inst,[status(thm)],[])).
% 51.49/33.99 tff(30250,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB103) | (~v144(constB103))),
% 51.49/33.99 inference(modus_ponens,[status(thm)],[30249, 30248])).
% 51.49/33.99 tff(30251,plain,
% 51.49/33.99 (~v144(constB103)),
% 51.49/33.99 inference(unit_resolution,[status(thm)],[30250, 13439, 30247])).
% 51.49/33.99 tff(30252,plain,
% 51.49/33.99 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB103) | (~v142(constB103)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB103) | (~v142(constB103)))),
% 51.49/33.99 inference(rewrite,[status(thm)],[])).
% 51.49/33.99 tff(30253,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB103) | (~v142(constB103)))),
% 51.49/33.99 inference(quant_inst,[status(thm)],[])).
% 51.49/33.99 tff(30254,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB103) | (~v142(constB103))),
% 51.49/33.99 inference(modus_ponens,[status(thm)],[30253, 30252])).
% 51.49/33.99 tff(30255,plain,
% 51.49/33.99 (~v142(constB103)),
% 51.49/33.99 inference(unit_resolution,[status(thm)],[30254, 13453, 30251])).
% 51.49/33.99 tff(30256,plain,
% 51.49/33.99 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB103)) | (~v140(constB103)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB103)) | (~v140(constB103)))),
% 51.49/33.99 inference(rewrite,[status(thm)],[])).
% 51.49/33.99 tff(30257,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB103)) | (~v140(constB103)))),
% 51.49/33.99 inference(quant_inst,[status(thm)],[])).
% 51.49/33.99 tff(30258,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB103)) | (~v140(constB103))),
% 51.49/33.99 inference(modus_ponens,[status(thm)],[30257, 30256])).
% 51.49/33.99 tff(30259,plain,
% 51.49/33.99 (~v138(constB103)),
% 51.49/33.99 inference(unit_resolution,[status(thm)],[30258, 13495, 26608])).
% 51.49/33.99 tff(30260,plain,
% 51.49/33.99 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB103) | v142(constB103) | (~v135(constB103)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB103) | v142(constB103) | (~v135(constB103)))),
% 51.49/33.99 inference(rewrite,[status(thm)],[])).
% 51.49/33.99 tff(30261,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB103) | v142(constB103) | (~v135(constB103)))),
% 51.49/33.99 inference(quant_inst,[status(thm)],[])).
% 51.49/33.99 tff(30262,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB103) | v142(constB103) | (~v135(constB103))),
% 51.49/33.99 inference(modus_ponens,[status(thm)],[30261, 30260])).
% 51.49/33.99 tff(30263,plain,
% 51.49/33.99 (v142(constB103) | (~v135(constB103))),
% 51.49/33.99 inference(unit_resolution,[status(thm)],[30262, 13509, 30259])).
% 51.49/33.99 tff(30264,plain,
% 51.49/33.99 (~v135(constB103)),
% 51.49/33.99 inference(unit_resolution,[status(thm)],[30263, 30255])).
% 51.49/33.99 tff(30265,plain,
% 51.49/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104)))),
% 51.49/33.99 inference(rewrite,[status(thm)],[])).
% 51.49/33.99 tff(30266,plain,
% 51.49/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104)))),
% 51.49/33.99 inference(quant_inst,[status(thm)],[])).
% 51.49/33.99 tff(30267,plain,
% 51.49/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104))),
% 51.49/33.99 inference(modus_ponens,[status(thm)],[30266, 30265])).
% 51.49/33.99 tff(30268,plain,
% 51.49/33.99 (v135(constB103) | (~v137(constB104))),
% 51.49/33.99 inference(unit_resolution,[status(thm)],[30267, 13524, 13872])).
% 51.49/33.99 tff(30269,plain,
% 51.49/33.99 (~v137(constB104)),
% 51.49/33.99 inference(unit_resolution,[status(thm)],[30268, 30264])).
% 51.49/33.99 tff(30270,plain,
% 51.49/33.99 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB104) | (~v138(constB104)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB104) | (~v138(constB104)))),
% 51.49/33.99 inference(rewrite,[status(thm)],[])).
% 51.49/33.99 tff(30271,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB104) | (~v138(constB104)))),
% 51.49/33.99 inference(quant_inst,[status(thm)],[])).
% 51.49/33.99 tff(30272,plain,
% 51.49/33.99 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB104) | (~v138(constB104))),
% 51.49/33.99 inference(modus_ponens,[status(thm)],[30271, 30270])).
% 51.49/33.99 tff(30273,plain,
% 51.49/33.99 (~v138(constB104)),
% 51.49/33.99 inference(unit_resolution,[status(thm)],[30272, 13539, 30269])).
% 51.49/33.99 tff(30274,plain,
% 51.49/33.99 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB104) | (~v144(constB104)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB104) | (~v144(constB104)))),
% 51.49/33.99 inference(rewrite,[status(thm)],[])).
% 51.49/33.99 tff(30275,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB104) | (~v144(constB104)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30276,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB104) | (~v144(constB104))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30275, 30274])).
% 51.50/33.99 tff(30277,plain,
% 51.50/33.99 (~v144(constB104)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30276, 13567, 26630])).
% 51.50/33.99 tff(30278,plain,
% 51.50/33.99 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB104) | (~v142(constB104)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB104) | (~v142(constB104)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/33.99 tff(30279,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB104) | (~v142(constB104)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30280,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB104) | (~v142(constB104))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30279, 30278])).
% 51.50/33.99 tff(30281,plain,
% 51.50/33.99 (~v142(constB104)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30280, 13453, 30277])).
% 51.50/33.99 tff(30282,plain,
% 51.50/33.99 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB104) | v142(constB104) | (~v135(constB104)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB104) | v142(constB104) | (~v135(constB104)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/33.99 tff(30283,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB104) | v142(constB104) | (~v135(constB104)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30284,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB104) | v142(constB104) | (~v135(constB104))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30283, 30282])).
% 51.50/33.99 tff(30285,plain,
% 51.50/33.99 (v138(constB104) | (~v135(constB104))),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30284, 13509, 30281])).
% 51.50/33.99 tff(30286,plain,
% 51.50/33.99 (~v135(constB104)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30285, 30273])).
% 51.50/33.99 tff(30287,plain,
% 51.50/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/33.99 tff(30288,plain,
% 51.50/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30289,plain,
% 51.50/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30288, 30287])).
% 51.50/33.99 tff(30290,plain,
% 51.50/33.99 (v135(constB104) | (~v137(constB105))),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30289, 13524, 13934])).
% 51.50/33.99 tff(30291,plain,
% 51.50/33.99 (~v137(constB105)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30290, 30286])).
% 51.50/33.99 tff(30292,plain,
% 51.50/33.99 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB105) | (~v138(constB105)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB105) | (~v138(constB105)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/33.99 tff(30293,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB105) | (~v138(constB105)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30294,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB105) | (~v138(constB105))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30293, 30292])).
% 51.50/33.99 tff(30295,plain,
% 51.50/33.99 (~v138(constB105)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30294, 13539, 30291])).
% 51.50/33.99 tff(30296,plain,
% 51.50/33.99 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB105) | v142(constB105) | (~v135(constB105)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB105) | v142(constB105) | (~v135(constB105)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/33.99 tff(30297,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB105) | v142(constB105) | (~v135(constB105)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30298,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB105) | v142(constB105) | (~v135(constB105))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30297, 30296])).
% 51.50/33.99 tff(30299,plain,
% 51.50/33.99 (v142(constB105) | (~v135(constB105))),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30298, 13509, 30295])).
% 51.50/33.99 tff(30300,plain,
% 51.50/33.99 (~v135(constB105)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30299, 30243])).
% 51.50/33.99 tff(30301,plain,
% 51.50/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/33.99 tff(30302,plain,
% 51.50/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30303,plain,
% 51.50/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30302, 30301])).
% 51.50/33.99 tff(30304,plain,
% 51.50/33.99 (v135(constB105) | (~v137(constB106))),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30303, 13524, 14050])).
% 51.50/33.99 tff(30305,plain,
% 51.50/33.99 (~v137(constB106)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30304, 30300])).
% 51.50/33.99 tff(30306,plain,
% 51.50/33.99 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB106) | (~v138(constB106)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB106) | (~v138(constB106)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/33.99 tff(30307,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB106) | (~v138(constB106)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30308,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB106) | (~v138(constB106))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30307, 30306])).
% 51.50/33.99 tff(30309,plain,
% 51.50/33.99 (~v138(constB106)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30308, 13539, 30305])).
% 51.50/33.99 tff(30310,plain,
% 51.50/33.99 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB106) | (~v144(constB106)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB106) | (~v144(constB106)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/33.99 tff(30311,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB106) | (~v144(constB106)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30312,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB106) | (~v144(constB106))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30311, 30310])).
% 51.50/33.99 tff(30313,plain,
% 51.50/33.99 (~v144(constB106)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30312, 13567, 26757])).
% 51.50/33.99 tff(30314,plain,
% 51.50/33.99 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB106) | (~v142(constB106)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB106) | (~v142(constB106)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/33.99 tff(30315,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB106) | (~v142(constB106)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30316,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB106) | (~v142(constB106))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30315, 30314])).
% 51.50/33.99 tff(30317,plain,
% 51.50/33.99 (~v142(constB106)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30316, 13453, 30313])).
% 51.50/33.99 tff(30318,plain,
% 51.50/33.99 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB106) | v142(constB106) | (~v135(constB106)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB106) | v142(constB106) | (~v135(constB106)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/33.99 tff(30319,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB106) | v142(constB106) | (~v135(constB106)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30320,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB106) | v142(constB106) | (~v135(constB106))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30319, 30318])).
% 51.50/33.99 tff(30321,plain,
% 51.50/33.99 (v138(constB106) | (~v135(constB106))),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30320, 13509, 30317])).
% 51.50/33.99 tff(30322,plain,
% 51.50/33.99 (~v135(constB106)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30321, 30309])).
% 51.50/33.99 tff(30323,plain,
% 51.50/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/33.99 tff(30324,plain,
% 51.50/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30325,plain,
% 51.50/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 51.50/33.99 tff(30326,plain,
% 51.50/33.99 (v135(constB106) | (~v137(constB107))),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30325, 13524, 14139])).
% 51.50/33.99 tff(30327,plain,
% 51.50/33.99 (~v137(constB107)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30326, 30322])).
% 51.50/33.99 tff(30328,plain,
% 51.50/33.99 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB107) | (~v154(constB107)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB107) | (~v154(constB107)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/33.99 tff(30329,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB107) | (~v154(constB107)))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30330,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB107) | (~v154(constB107))),
% 51.50/33.99 inference(modus_ponens,[status(thm)],[30329, 30328])).
% 51.50/33.99 tff(30331,plain,
% 51.50/33.99 (~v154(constB107)),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30330, 13595, 30327])).
% 51.50/33.99 tff(30332,assumption,(v18(constB108)), introduced(assumption)).
% 51.50/33.99 tff(30333,plain,
% 51.50/33.99 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB108))),
% 51.50/33.99 inference(quant_inst,[status(thm)],[])).
% 51.50/33.99 tff(30334,plain,
% 51.50/33.99 ($false),
% 51.50/33.99 inference(unit_resolution,[status(thm)],[30333, 13324, 30332])).
% 51.50/33.99 tff(30335,plain,(~v18(constB108)), inference(lemma,lemma(discharge,[]))).
% 51.50/33.99 tff(30336,plain,
% 51.50/33.99 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108)))),
% 51.50/33.99 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30337,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30338,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30337, 30336])).
% 51.50/34.00 tff(30339,plain,
% 51.50/34.00 (v22(constB108)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30338, 13337, 14310])).
% 51.50/34.00 tff(30340,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB108) | (~v22(constB108)) | (~v19(constB108)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB108) | (~v22(constB108)) | (~v19(constB108)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30341,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB108) | (~v22(constB108)) | (~v19(constB108)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30342,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB108) | (~v22(constB108)) | (~v19(constB108))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30341, 30340])).
% 51.50/34.00 tff(30343,plain,
% 51.50/34.00 (v18(constB108) | (~v19(constB108))),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30342, 13351, 30339])).
% 51.50/34.00 tff(30344,plain,
% 51.50/34.00 (~v19(constB108)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30343, 30335])).
% 51.50/34.00 tff(30345,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30346,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30347,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108)),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30346, 30345])).
% 51.50/34.00 tff(30348,plain,
% 51.50/34.00 (v13(constB108)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30347, 13363, 30344])).
% 51.50/34.00 tff(30349,plain,
% 51.50/34.00 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30350,plain,
% 51.50/34.00 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30351,plain,
% 51.50/34.00 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30350, 30349])).
% 51.50/34.00 tff(30352,plain,
% 51.50/34.00 (v9(constB107) | (~v13(constB108))),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30351, 13377, 14290])).
% 51.50/34.00 tff(30353,plain,
% 51.50/34.00 (v9(constB107)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30352, 30348])).
% 51.50/34.00 tff(30354,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v141(constB107))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB107) | (~v9(constB107)) | v141(constB107))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30355,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v141(constB107))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30356,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB107) | (~v9(constB107)) | v141(constB107)),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30355, 30354])).
% 51.50/34.00 tff(30357,plain,
% 51.50/34.00 ((~v9(constB107)) | v141(constB107)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30356, 13392, 14136])).
% 51.50/34.00 tff(30358,plain,
% 51.50/34.00 (v141(constB107)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30357, 30353])).
% 51.50/34.00 tff(30359,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB107) | (~v141(constB107)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB107) | (~v141(constB107)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30360,plain,
% 51.50/34.00 (((~v141(constB107)) | v140(constB107)) <=> (v140(constB107) | (~v141(constB107)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30361,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB107)) | v140(constB107))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB107) | (~v141(constB107))))),
% 51.50/34.00 inference(monotonicity,[status(thm)],[30360])).
% 51.50/34.00 tff(30362,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB107)) | v140(constB107))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB107) | (~v141(constB107)))),
% 51.50/34.00 inference(transitivity,[status(thm)],[30361, 30359])).
% 51.50/34.00 tff(30363,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB107)) | v140(constB107))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30364,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB107) | (~v141(constB107))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30363, 30362])).
% 51.50/34.00 tff(30365,plain,
% 51.50/34.00 (v140(constB107)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30364, 13404, 30358])).
% 51.50/34.00 tff(30366,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB107)) | (~v153(constB107)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB107)) | (~v153(constB107)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30367,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB107)) | (~v153(constB107)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30368,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB107)) | (~v153(constB107))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30367, 30366])).
% 51.50/34.00 tff(30369,plain,
% 51.50/34.00 (~v153(constB107)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30368, 13640, 30365])).
% 51.50/34.00 tff(30370,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB107) | v154(constB107) | (~v150(constB107)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB107) | v154(constB107) | (~v150(constB107)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30371,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB107) | v154(constB107) | (~v150(constB107)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30372,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB107) | v154(constB107) | (~v150(constB107))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30371, 30370])).
% 51.50/34.00 tff(30373,plain,
% 51.50/34.00 (v154(constB107) | (~v150(constB107))),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30372, 13654, 30369])).
% 51.50/34.00 tff(30374,plain,
% 51.50/34.00 (~v150(constB107)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30373, 30331])).
% 51.50/34.00 tff(30375,plain,
% 51.50/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30376,plain,
% 51.50/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30377,plain,
% 51.50/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30376, 30375])).
% 51.50/34.00 tff(30378,plain,
% 51.50/34.00 (v150(constB107) | (~v152(constB108))),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30377, 13669, 14290])).
% 51.50/34.00 tff(30379,plain,
% 51.50/34.00 (~v152(constB108)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30378, 30374])).
% 51.50/34.00 tff(30380,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB108) | (~v153(constB108)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB108) | (~v153(constB108)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30381,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB108) | (~v153(constB108)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30382,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB108) | (~v153(constB108))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30381, 30380])).
% 51.50/34.00 tff(30383,plain,
% 51.50/34.00 (~v153(constB108)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30382, 13684, 30379])).
% 51.50/34.00 tff(30384,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB108)) | (~v141(constB108)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB108)) | (~v141(constB108)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30385,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB108)) | (~v141(constB108)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30386,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB108)) | (~v141(constB108))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30385, 30384])).
% 51.50/34.00 tff(30387,plain,
% 51.50/34.00 (~v141(constB108)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30386, 13553, 14310])).
% 51.50/34.00 tff(30388,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB108) | (~v155(constB108)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB108) | (~v155(constB108)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30389,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB108) | (~v155(constB108)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30390,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB108) | (~v155(constB108))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30389, 30388])).
% 51.50/34.00 tff(30391,plain,
% 51.50/34.00 (~v155(constB108)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30390, 13702, 30387])).
% 51.50/34.00 tff(30392,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB108) | (~v154(constB108)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB108) | (~v154(constB108)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30393,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB108) | (~v154(constB108)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30394,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB108) | (~v154(constB108))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30393, 30392])).
% 51.50/34.00 tff(30395,plain,
% 51.50/34.00 (~v154(constB108)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30394, 13716, 30391])).
% 51.50/34.00 tff(30396,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB108) | v154(constB108) | (~v150(constB108)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB108) | v154(constB108) | (~v150(constB108)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30397,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB108) | v154(constB108) | (~v150(constB108)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30398,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB108) | v154(constB108) | (~v150(constB108))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30397, 30396])).
% 51.50/34.00 tff(30399,plain,
% 51.50/34.00 (v153(constB108) | (~v150(constB108))),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30398, 13654, 30395])).
% 51.50/34.00 tff(30400,plain,
% 51.50/34.00 (~v150(constB108)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30399, 30383])).
% 51.50/34.00 tff(30401,plain,
% 51.50/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30402,plain,
% 51.50/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30403,plain,
% 51.50/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30402, 30401])).
% 51.50/34.00 tff(30404,plain,
% 51.50/34.00 (v150(constB108) | (~v152(constB109))),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30403, 13669, 14352])).
% 51.50/34.00 tff(30405,plain,
% 51.50/34.00 (~v152(constB109)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30404, 30400])).
% 51.50/34.00 tff(30406,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB109) | (~v164(constB109)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB109) | (~v164(constB109)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30407,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB109) | (~v164(constB109)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30408,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB109) | (~v164(constB109))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30407, 30406])).
% 51.50/34.00 tff(30409,plain,
% 51.50/34.00 (~v164(constB109)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30408, 13740, 30405])).
% 51.50/34.00 tff(30410,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB109)) | (~v163(constB109)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB109)) | (~v163(constB109)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30411,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB109)) | (~v163(constB109)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30412,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB109)) | (~v163(constB109))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30411, 30410])).
% 51.50/34.00 tff(30413,plain,
% 51.50/34.00 (~v163(constB109)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30412, 13421, 28095])).
% 51.50/34.00 tff(30414,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB109) | v164(constB109) | (~v160(constB109)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB109) | v164(constB109) | (~v160(constB109)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30415,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB109) | v164(constB109) | (~v160(constB109)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30416,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB109) | v164(constB109) | (~v160(constB109))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30415, 30414])).
% 51.50/34.00 tff(30417,plain,
% 51.50/34.00 (v164(constB109) | (~v160(constB109))),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30416, 13754, 30413])).
% 51.50/34.00 tff(30418,plain,
% 51.50/34.00 (~v160(constB109)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30417, 30409])).
% 51.50/34.00 tff(30419,plain,
% 51.50/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30420,plain,
% 51.50/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30421,plain,
% 51.50/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30420, 30419])).
% 51.50/34.00 tff(30422,plain,
% 51.50/34.00 (v160(constB109) | (~v162(constB110))),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30421, 13769, 14500])).
% 51.50/34.00 tff(30423,plain,
% 51.50/34.00 (~v162(constB110)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30422, 30418])).
% 51.50/34.00 tff(30424,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB110) | (~v163(constB110)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB110) | (~v163(constB110)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30425,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB110) | (~v163(constB110)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30426,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB110) | (~v163(constB110))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30425, 30424])).
% 51.50/34.00 tff(30427,plain,
% 51.50/34.00 (~v163(constB110)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30426, 13784, 30423])).
% 51.50/34.00 tff(30428,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB110) | (~v155(constB110)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB110) | (~v155(constB110)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30429,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB110) | (~v155(constB110)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30430,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB110) | (~v155(constB110))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30429, 30428])).
% 51.50/34.00 tff(30431,plain,
% 51.50/34.00 (~v155(constB110)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30430, 13702, 28117])).
% 51.50/34.00 tff(30432,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB110) | (~v164(constB110)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB110) | (~v164(constB110)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30433,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB110) | (~v164(constB110)))),
% 51.50/34.00 inference(quant_inst,[status(thm)],[])).
% 51.50/34.00 tff(30434,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB110) | (~v164(constB110))),
% 51.50/34.00 inference(modus_ponens,[status(thm)],[30433, 30432])).
% 51.50/34.00 tff(30435,plain,
% 51.50/34.00 (~v164(constB110)),
% 51.50/34.00 inference(unit_resolution,[status(thm)],[30434, 13806, 30431])).
% 51.50/34.00 tff(30436,plain,
% 51.50/34.00 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB110) | v164(constB110) | (~v160(constB110)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB110) | v164(constB110) | (~v160(constB110)))),
% 51.50/34.00 inference(rewrite,[status(thm)],[])).
% 51.50/34.00 tff(30437,plain,
% 51.50/34.00 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB110) | v164(constB110) | (~v160(constB110)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30438,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB110) | v164(constB110) | (~v160(constB110))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30437, 30436])).
% 51.50/34.01 tff(30439,plain,
% 51.50/34.01 (v163(constB110) | (~v160(constB110))),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30438, 13754, 30435])).
% 51.50/34.01 tff(30440,plain,
% 51.50/34.01 (~v160(constB110)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30439, 30427])).
% 51.50/34.01 tff(30441,plain,
% 51.50/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30442,plain,
% 51.50/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30443,plain,
% 51.50/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30442, 30441])).
% 51.50/34.01 tff(30444,plain,
% 51.50/34.01 (v160(constB110) | (~v162(constB111))),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30443, 13769, 14566])).
% 51.50/34.01 tff(30445,plain,
% 51.50/34.01 (~v162(constB111)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30444, 30440])).
% 51.50/34.01 tff(30446,plain,
% 51.50/34.01 ($false),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30445, 30235])).
% 51.50/34.01 tff(30447,plain,(~(constB111 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.50/34.01 tff(30448,assumption,(constB98 = sK0_VarCurr), introduced(assumption)).
% 51.50/34.01 tff(30449,plain,
% 51.50/34.01 (v1(constB98) <=> v1(sK0_VarCurr)),
% 51.50/34.01 inference(monotonicity,[status(thm)],[30448])).
% 51.50/34.01 tff(30450,plain,
% 51.50/34.01 (v1(sK0_VarCurr) <=> v1(constB98)),
% 51.50/34.01 inference(symmetry,[status(thm)],[30449])).
% 51.50/34.01 tff(30451,plain,
% 51.50/34.01 ((~v1(sK0_VarCurr)) <=> (~v1(constB98))),
% 51.50/34.01 inference(monotonicity,[status(thm)],[30450])).
% 51.50/34.01 tff(30452,plain,
% 51.50/34.01 (~v1(constB98)),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[25725, 30451])).
% 51.50/34.01 tff(30453,plain,
% 51.50/34.01 ($false),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[12443, 30452])).
% 51.50/34.01 tff(30454,plain,(~(constB98 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.50/34.01 tff(30455,assumption,(constB10 = sK0_VarCurr), introduced(assumption)).
% 51.50/34.01 tff(30456,plain,
% 51.50/34.01 (v1(constB10) <=> v1(sK0_VarCurr)),
% 51.50/34.01 inference(monotonicity,[status(thm)],[30455])).
% 51.50/34.01 tff(30457,plain,
% 51.50/34.01 (v1(sK0_VarCurr) <=> v1(constB10)),
% 51.50/34.01 inference(symmetry,[status(thm)],[30456])).
% 51.50/34.01 tff(30458,plain,
% 51.50/34.01 ((~v1(sK0_VarCurr)) <=> (~v1(constB10))),
% 51.50/34.01 inference(monotonicity,[status(thm)],[30457])).
% 51.50/34.01 tff(30459,plain,
% 51.50/34.01 (~v1(constB10)),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[25725, 30458])).
% 51.50/34.01 tff(30460,plain,
% 51.50/34.01 ($false),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[1669, 30459])).
% 51.50/34.01 tff(30461,plain,(~(constB10 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.50/34.01 tff(30462,assumption,(constB14 = sK0_VarCurr), introduced(assumption)).
% 51.50/34.01 tff(30463,plain,
% 51.50/34.01 (v1(constB14) <=> v1(sK0_VarCurr)),
% 51.50/34.01 inference(monotonicity,[status(thm)],[30462])).
% 51.50/34.01 tff(30464,plain,
% 51.50/34.01 (v1(sK0_VarCurr) <=> v1(constB14)),
% 51.50/34.01 inference(symmetry,[status(thm)],[30463])).
% 51.50/34.01 tff(30465,plain,
% 51.50/34.01 ((~v1(sK0_VarCurr)) <=> (~v1(constB14))),
% 51.50/34.01 inference(monotonicity,[status(thm)],[30464])).
% 51.50/34.01 tff(30466,plain,
% 51.50/34.01 (~v1(constB14)),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[25725, 30465])).
% 51.50/34.01 tff(30467,plain,
% 51.50/34.01 ($false),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[2108, 30466])).
% 51.50/34.01 tff(30468,plain,(~(constB14 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.50/34.01 tff(30469,assumption,(constB174 = sK0_VarCurr), introduced(assumption)).
% 51.50/34.01 tff(30470,plain,
% 51.50/34.01 (v1(constB174) <=> v1(sK0_VarCurr)),
% 51.50/34.01 inference(monotonicity,[status(thm)],[30469])).
% 51.50/34.01 tff(30471,plain,
% 51.50/34.01 (v1(sK0_VarCurr) <=> v1(constB174)),
% 51.50/34.01 inference(symmetry,[status(thm)],[30470])).
% 51.50/34.01 tff(30472,plain,
% 51.50/34.01 ((~v1(sK0_VarCurr)) <=> (~v1(constB174))),
% 51.50/34.01 inference(monotonicity,[status(thm)],[30471])).
% 51.50/34.01 tff(30473,plain,
% 51.50/34.01 (~v1(constB174)),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[25725, 30472])).
% 51.50/34.01 tff(30474,plain,
% 51.50/34.01 ($false),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[21877, 30473])).
% 51.50/34.01 tff(30475,plain,(~(constB174 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.50/34.01 tff(30476,assumption,(constB91 = sK0_VarCurr), introduced(assumption)).
% 51.50/34.01 tff(30477,plain,
% 51.50/34.01 (v162(constB91) <=> v162(sK0_VarCurr)),
% 51.50/34.01 inference(monotonicity,[status(thm)],[30476])).
% 51.50/34.01 tff(30478,plain,
% 51.50/34.01 (v162(sK0_VarCurr) <=> v162(constB91)),
% 51.50/34.01 inference(symmetry,[status(thm)],[30477])).
% 51.50/34.01 tff(30479,plain,
% 51.50/34.01 (v162(constB91)),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[13315, 30478])).
% 51.50/34.01 tff(30480,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB85) | (~v144(constB85)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB85) | (~v144(constB85)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30481,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB85) | (~v144(constB85)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30482,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB85) | (~v144(constB85))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30481, 30480])).
% 51.50/34.01 tff(30483,plain,
% 51.50/34.01 (~v144(constB85)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30482, 13439, 11200])).
% 51.50/34.01 tff(30484,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB85) | (~v142(constB85)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30485,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB85) | (~v142(constB85)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30486,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB85) | (~v142(constB85))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30485, 30484])).
% 51.50/34.01 tff(30487,plain,
% 51.50/34.01 (~v142(constB85)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30486, 13453, 30483])).
% 51.50/34.01 tff(30488,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB85)) | (~v140(constB85)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB85)) | (~v140(constB85)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30489,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB85)) | (~v140(constB85)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30490,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB85)) | (~v140(constB85))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30489, 30488])).
% 51.50/34.01 tff(30491,plain,
% 51.50/34.01 (~v138(constB85)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30490, 13495, 26126])).
% 51.50/34.01 tff(30492,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB85) | v142(constB85) | (~v135(constB85)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB85) | v142(constB85) | (~v135(constB85)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30493,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB85) | v142(constB85) | (~v135(constB85)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30494,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB85) | v142(constB85) | (~v135(constB85))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30493, 30492])).
% 51.50/34.01 tff(30495,plain,
% 51.50/34.01 (v142(constB85) | (~v135(constB85))),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30494, 13509, 30491])).
% 51.50/34.01 tff(30496,plain,
% 51.50/34.01 (~v135(constB85)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30495, 30487])).
% 51.50/34.01 tff(30497,plain,
% 51.50/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30498,plain,
% 51.50/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30499,plain,
% 51.50/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30498, 30497])).
% 51.50/34.01 tff(30500,plain,
% 51.50/34.01 (v135(constB85) | (~v137(constB86))),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30499, 13524, 11154])).
% 51.50/34.01 tff(30501,plain,
% 51.50/34.01 (~v137(constB86)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30500, 30496])).
% 51.50/34.01 tff(30502,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB86) | (~v138(constB86)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB86) | (~v138(constB86)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30503,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB86) | (~v138(constB86)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30504,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB86) | (~v138(constB86))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30503, 30502])).
% 51.50/34.01 tff(30505,plain,
% 51.50/34.01 (~v138(constB86)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30504, 13539, 30501])).
% 51.50/34.01 tff(30506,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB86) | (~v144(constB86)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB86) | (~v144(constB86)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30507,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB86) | (~v144(constB86)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30508,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB86) | (~v144(constB86))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30507, 30506])).
% 51.50/34.01 tff(30509,plain,
% 51.50/34.01 (~v144(constB86)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30508, 13567, 26148])).
% 51.50/34.01 tff(30510,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB86) | (~v142(constB86)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB86) | (~v142(constB86)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30511,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB86) | (~v142(constB86)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30512,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB86) | (~v142(constB86))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30511, 30510])).
% 51.50/34.01 tff(30513,plain,
% 51.50/34.01 (~v142(constB86)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30512, 13453, 30509])).
% 51.50/34.01 tff(30514,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB86) | v142(constB86) | (~v135(constB86)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB86) | v142(constB86) | (~v135(constB86)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30515,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB86) | v142(constB86) | (~v135(constB86)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30516,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB86) | v142(constB86) | (~v135(constB86))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30515, 30514])).
% 51.50/34.01 tff(30517,plain,
% 51.50/34.01 (v138(constB86) | (~v135(constB86))),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30516, 13509, 30513])).
% 51.50/34.01 tff(30518,plain,
% 51.50/34.01 (~v135(constB86)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30517, 30505])).
% 51.50/34.01 tff(30519,plain,
% 51.50/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30520,plain,
% 51.50/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30521,plain,
% 51.50/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30520, 30519])).
% 51.50/34.01 tff(30522,plain,
% 51.50/34.01 (v135(constB86) | (~v137(constB87))),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30521, 13524, 11243])).
% 51.50/34.01 tff(30523,plain,
% 51.50/34.01 (~v137(constB87)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30522, 30518])).
% 51.50/34.01 tff(30524,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB87) | (~v154(constB87)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB87) | (~v154(constB87)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30525,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB87) | (~v154(constB87)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30526,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB87) | (~v154(constB87))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30525, 30524])).
% 51.50/34.01 tff(30527,plain,
% 51.50/34.01 (~v154(constB87)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30526, 13595, 30523])).
% 51.50/34.01 tff(30528,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB87)) | (~v153(constB87)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB87)) | (~v153(constB87)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30529,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB87)) | (~v153(constB87)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30530,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB87)) | (~v153(constB87))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30529, 30528])).
% 51.50/34.01 tff(30531,plain,
% 51.50/34.01 (~v153(constB87)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30530, 13640, 26204])).
% 51.50/34.01 tff(30532,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB87) | v154(constB87) | (~v150(constB87)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB87) | v154(constB87) | (~v150(constB87)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30533,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB87) | v154(constB87) | (~v150(constB87)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30534,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB87) | v154(constB87) | (~v150(constB87))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30533, 30532])).
% 51.50/34.01 tff(30535,plain,
% 51.50/34.01 (v154(constB87) | (~v150(constB87))),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30534, 13654, 30531])).
% 51.50/34.01 tff(30536,plain,
% 51.50/34.01 (~v150(constB87)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30535, 30527])).
% 51.50/34.01 tff(30537,plain,
% 51.50/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30538,plain,
% 51.50/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30539,plain,
% 51.50/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30538, 30537])).
% 51.50/34.01 tff(30540,plain,
% 51.50/34.01 (v150(constB87) | (~v152(constB88))),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30539, 13669, 11414])).
% 51.50/34.01 tff(30541,plain,
% 51.50/34.01 (~v152(constB88)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30540, 30536])).
% 51.50/34.01 tff(30542,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB88) | (~v153(constB88)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB88) | (~v153(constB88)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30543,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB88) | (~v153(constB88)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30544,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB88) | (~v153(constB88))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30543, 30542])).
% 51.50/34.01 tff(30545,plain,
% 51.50/34.01 (~v153(constB88)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30544, 13684, 30541])).
% 51.50/34.01 tff(30546,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB88) | (~v154(constB88)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB88) | (~v154(constB88)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30547,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB88) | (~v154(constB88)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30548,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB88) | (~v154(constB88))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30547, 30546])).
% 51.50/34.01 tff(30549,plain,
% 51.50/34.01 (~v154(constB88)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30548, 13716, 26230])).
% 51.50/34.01 tff(30550,plain,
% 51.50/34.01 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB88) | v154(constB88) | (~v150(constB88)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB88) | v154(constB88) | (~v150(constB88)))),
% 51.50/34.01 inference(rewrite,[status(thm)],[])).
% 51.50/34.01 tff(30551,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB88) | v154(constB88) | (~v150(constB88)))),
% 51.50/34.01 inference(quant_inst,[status(thm)],[])).
% 51.50/34.01 tff(30552,plain,
% 51.50/34.01 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB88) | v154(constB88) | (~v150(constB88))),
% 51.50/34.01 inference(modus_ponens,[status(thm)],[30551, 30550])).
% 51.50/34.01 tff(30553,plain,
% 51.50/34.01 (v153(constB88) | (~v150(constB88))),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30552, 13654, 30549])).
% 51.50/34.01 tff(30554,plain,
% 51.50/34.01 (~v150(constB88)),
% 51.50/34.01 inference(unit_resolution,[status(thm)],[30553, 30545])).
% 51.50/34.01 tff(30555,plain,
% 51.50/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89)))),
% 51.53/34.01 inference(rewrite,[status(thm)],[])).
% 51.53/34.01 tff(30556,plain,
% 51.53/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89)))),
% 51.53/34.01 inference(quant_inst,[status(thm)],[])).
% 51.53/34.01 tff(30557,plain,
% 51.53/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89))),
% 51.53/34.01 inference(modus_ponens,[status(thm)],[30556, 30555])).
% 51.53/34.01 tff(30558,plain,
% 51.53/34.01 (v150(constB88) | (~v152(constB89))),
% 51.53/34.01 inference(unit_resolution,[status(thm)],[30557, 13669, 11476])).
% 51.53/34.01 tff(30559,plain,
% 51.53/34.01 (~v152(constB89)),
% 51.53/34.01 inference(unit_resolution,[status(thm)],[30558, 30554])).
% 51.53/34.01 tff(30560,plain,
% 51.53/34.01 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB89) | (~v164(constB89)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB89) | (~v164(constB89)))),
% 51.53/34.01 inference(rewrite,[status(thm)],[])).
% 51.53/34.01 tff(30561,plain,
% 51.53/34.01 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB89) | (~v164(constB89)))),
% 51.53/34.01 inference(quant_inst,[status(thm)],[])).
% 51.53/34.01 tff(30562,plain,
% 51.53/34.01 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB89) | (~v164(constB89))),
% 51.53/34.01 inference(modus_ponens,[status(thm)],[30561, 30560])).
% 51.53/34.01 tff(30563,plain,
% 51.53/34.01 (~v164(constB89)),
% 51.53/34.01 inference(unit_resolution,[status(thm)],[30562, 13740, 30559])).
% 51.53/34.01 tff(30564,assumption,(v18(constB90)), introduced(assumption)).
% 51.53/34.01 tff(30565,plain,
% 51.53/34.01 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB90))),
% 51.53/34.01 inference(quant_inst,[status(thm)],[])).
% 51.53/34.01 tff(30566,plain,
% 51.53/34.01 ($false),
% 51.53/34.01 inference(unit_resolution,[status(thm)],[30565, 13324, 30564])).
% 51.53/34.01 tff(30567,plain,(~v18(constB90)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.01 tff(30568,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30569,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30570,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30569, 30568])).
% 51.53/34.02 tff(30571,plain,
% 51.53/34.02 (v22(constB90)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30570, 13337, 11640])).
% 51.53/34.02 tff(30572,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB90) | (~v22(constB90)) | (~v19(constB90)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB90) | (~v22(constB90)) | (~v19(constB90)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30573,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB90) | (~v22(constB90)) | (~v19(constB90)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30574,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB90) | (~v22(constB90)) | (~v19(constB90))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30573, 30572])).
% 51.53/34.02 tff(30575,plain,
% 51.53/34.02 (v18(constB90) | (~v19(constB90))),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30574, 13351, 30571])).
% 51.53/34.02 tff(30576,plain,
% 51.53/34.02 (~v19(constB90)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30575, 30567])).
% 51.53/34.02 tff(30577,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30578,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30579,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90)),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30578, 30577])).
% 51.53/34.02 tff(30580,plain,
% 51.53/34.02 (v13(constB90)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30579, 13363, 30576])).
% 51.53/34.02 tff(30581,plain,
% 51.53/34.02 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30582,plain,
% 51.53/34.02 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30583,plain,
% 51.53/34.02 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30582, 30581])).
% 51.53/34.02 tff(30584,plain,
% 51.53/34.02 (v9(constB89) | (~v13(constB90))),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30583, 13377, 11620])).
% 51.53/34.02 tff(30585,plain,
% 51.53/34.02 (v9(constB89)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30584, 30580])).
% 51.53/34.02 tff(30586,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v141(constB89))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB89) | (~v9(constB89)) | v141(constB89))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30587,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v141(constB89))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30588,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB89) | (~v9(constB89)) | v141(constB89)),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30587, 30586])).
% 51.53/34.02 tff(30589,plain,
% 51.53/34.02 ((~v9(constB89)) | v141(constB89)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30588, 13392, 11473])).
% 51.53/34.02 tff(30590,plain,
% 51.53/34.02 (v141(constB89)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30589, 30585])).
% 51.53/34.02 tff(30591,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB89)) | v140(constB89))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB89)) | v140(constB89))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30592,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB89)) | v140(constB89))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30593,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB89)) | v140(constB89)),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30592, 30591])).
% 51.53/34.02 tff(30594,plain,
% 51.53/34.02 (v140(constB89)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30593, 13404, 30590])).
% 51.53/34.02 tff(30595,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB89)) | (~v163(constB89)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB89)) | (~v163(constB89)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30596,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB89)) | (~v163(constB89)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30597,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB89)) | (~v163(constB89))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30596, 30595])).
% 51.53/34.02 tff(30598,plain,
% 51.53/34.02 (~v163(constB89)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30597, 13421, 30594])).
% 51.53/34.02 tff(30599,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB89) | v164(constB89) | (~v160(constB89)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB89) | v164(constB89) | (~v160(constB89)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30600,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB89) | v164(constB89) | (~v160(constB89)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30601,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB89) | v164(constB89) | (~v160(constB89))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30600, 30599])).
% 51.53/34.02 tff(30602,plain,
% 51.53/34.02 (v164(constB89) | (~v160(constB89))),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30601, 13754, 30598])).
% 51.53/34.02 tff(30603,plain,
% 51.53/34.02 (~v160(constB89)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30602, 30563])).
% 51.53/34.02 tff(30604,plain,
% 51.53/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30605,plain,
% 51.53/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30606,plain,
% 51.53/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30605, 30604])).
% 51.53/34.02 tff(30607,plain,
% 51.53/34.02 (v160(constB89) | (~v162(constB90))),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30606, 13769, 11620])).
% 51.53/34.02 tff(30608,plain,
% 51.53/34.02 (~v162(constB90)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30607, 30603])).
% 51.53/34.02 tff(30609,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB90) | (~v163(constB90)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB90) | (~v163(constB90)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30610,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB90) | (~v163(constB90)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30611,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB90) | (~v163(constB90))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30610, 30609])).
% 51.53/34.02 tff(30612,plain,
% 51.53/34.02 (~v163(constB90)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30611, 13784, 30608])).
% 51.53/34.02 tff(30613,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB90)) | (~v141(constB90)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB90)) | (~v141(constB90)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30614,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB90)) | (~v141(constB90)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30615,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB90)) | (~v141(constB90))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30614, 30613])).
% 51.53/34.02 tff(30616,plain,
% 51.53/34.02 (~v141(constB90)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30615, 13553, 11640])).
% 51.53/34.02 tff(30617,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB90) | (~v155(constB90)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB90) | (~v155(constB90)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30618,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB90) | (~v155(constB90)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30619,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB90) | (~v155(constB90))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30618, 30617])).
% 51.53/34.02 tff(30620,plain,
% 51.53/34.02 (~v155(constB90)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30619, 13702, 30616])).
% 51.53/34.02 tff(30621,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB90) | (~v164(constB90)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB90) | (~v164(constB90)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30622,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB90) | (~v164(constB90)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30623,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB90) | (~v164(constB90))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30622, 30621])).
% 51.53/34.02 tff(30624,plain,
% 51.53/34.02 (~v164(constB90)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30623, 13806, 30620])).
% 51.53/34.02 tff(30625,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB90) | v164(constB90) | (~v160(constB90)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB90) | v164(constB90) | (~v160(constB90)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30626,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB90) | v164(constB90) | (~v160(constB90)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30627,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB90) | v164(constB90) | (~v160(constB90))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30626, 30625])).
% 51.53/34.02 tff(30628,plain,
% 51.53/34.02 (v163(constB90) | (~v160(constB90))),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30627, 13754, 30624])).
% 51.53/34.02 tff(30629,plain,
% 51.53/34.02 (~v160(constB90)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30628, 30612])).
% 51.53/34.02 tff(30630,plain,
% 51.53/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30631,plain,
% 51.53/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30632,plain,
% 51.53/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30631, 30630])).
% 51.53/34.02 tff(30633,plain,
% 51.53/34.02 (v160(constB90) | (~v162(constB91))),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30632, 13769, 11682])).
% 51.53/34.02 tff(30634,plain,
% 51.53/34.02 (~v162(constB91)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30633, 30629])).
% 51.53/34.02 tff(30635,plain,
% 51.53/34.02 ($false),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30634, 30479])).
% 51.53/34.02 tff(30636,plain,(~(constB91 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.02 tff(30637,assumption,(constB148 = sK0_VarCurr), introduced(assumption)).
% 51.53/34.02 tff(30638,plain,
% 51.53/34.02 (v1(constB148) <=> v1(sK0_VarCurr)),
% 51.53/34.02 inference(monotonicity,[status(thm)],[30637])).
% 51.53/34.02 tff(30639,plain,
% 51.53/34.02 (v1(sK0_VarCurr) <=> v1(constB148)),
% 51.53/34.02 inference(symmetry,[status(thm)],[30638])).
% 51.53/34.02 tff(30640,plain,
% 51.53/34.02 ((~v1(sK0_VarCurr)) <=> (~v1(constB148))),
% 51.53/34.02 inference(monotonicity,[status(thm)],[30639])).
% 51.53/34.02 tff(30641,plain,
% 51.53/34.02 (~v1(constB148)),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[25725, 30640])).
% 51.53/34.02 tff(30642,plain,
% 51.53/34.02 ($false),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[19073, 30641])).
% 51.53/34.02 tff(30643,plain,(~(constB148 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.02 tff(30644,assumption,(constB29 = sK0_VarCurr), introduced(assumption)).
% 51.53/34.02 tff(30645,plain,
% 51.53/34.02 (v162(constB29) <=> v162(sK0_VarCurr)),
% 51.53/34.02 inference(monotonicity,[status(thm)],[30644])).
% 51.53/34.02 tff(30646,plain,
% 51.53/34.02 (v162(sK0_VarCurr) <=> v162(constB29)),
% 51.53/34.02 inference(symmetry,[status(thm)],[30645])).
% 51.53/34.02 tff(30647,plain,
% 51.53/34.02 (v162(constB29)),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[13315, 30646])).
% 51.53/34.02 tff(30648,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB23)) | (~v84(constB23, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB23)) | (~v84(constB23, bitIndex2)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30649,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB23)) | (~v84(constB23, bitIndex2)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30650,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB23)) | (~v84(constB23, bitIndex2))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30649, 30648])).
% 51.53/34.02 tff(30651,plain,
% 51.53/34.02 (~v145(constB23)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30650, 4483, 3999])).
% 51.53/34.02 tff(30652,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB23) | (~v144(constB23)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB23) | (~v144(constB23)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30653,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB23) | (~v144(constB23)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30654,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB23) | (~v144(constB23))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30653, 30652])).
% 51.53/34.02 tff(30655,plain,
% 51.53/34.02 (~v144(constB23)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30654, 13439, 30651])).
% 51.53/34.02 tff(30656,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB23) | (~v142(constB23)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB23) | (~v142(constB23)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30657,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB23) | (~v142(constB23)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30658,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB23) | (~v142(constB23))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30657, 30656])).
% 51.53/34.02 tff(30659,plain,
% 51.53/34.02 (~v142(constB23)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30658, 13453, 30655])).
% 51.53/34.02 tff(30660,plain,
% 51.53/34.02 (~v145(constB21)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[4531, 1091, 3824])).
% 51.53/34.02 tff(30661,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB21) | (~v144(constB21)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB21) | (~v144(constB21)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30662,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB21) | (~v144(constB21)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30663,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB21) | (~v144(constB21))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30662, 30661])).
% 51.53/34.02 tff(30664,plain,
% 51.53/34.02 (~v144(constB21)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30663, 13439, 30660])).
% 51.53/34.02 tff(30665,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB21) | (~v142(constB21)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB21) | (~v142(constB21)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30666,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB21) | (~v142(constB21)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30667,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB21) | (~v142(constB21))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30666, 30665])).
% 51.53/34.02 tff(30668,plain,
% 51.53/34.02 (~v142(constB21)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30667, 13453, 30664])).
% 51.53/34.02 tff(30669,assumption,(v18(constB22)), introduced(assumption)).
% 51.53/34.02 tff(30670,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB22))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30671,plain,
% 51.53/34.02 ($false),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30670, 13324, 30669])).
% 51.53/34.02 tff(30672,plain,(~v18(constB22)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.02 tff(30673,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB22) | (~v1(constB22)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB22) | (~v1(constB22)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30674,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB22) | (~v1(constB22)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30675,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB22) | (~v1(constB22))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30674, 30673])).
% 51.53/34.02 tff(30676,plain,
% 51.53/34.02 (v22(constB22)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30675, 13337, 3863])).
% 51.53/34.02 tff(30677,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB22) | (~v22(constB22)) | (~v19(constB22)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB22) | (~v22(constB22)) | (~v19(constB22)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30678,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB22) | (~v22(constB22)) | (~v19(constB22)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30679,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB22) | (~v22(constB22)) | (~v19(constB22))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30678, 30677])).
% 51.53/34.02 tff(30680,plain,
% 51.53/34.02 (v18(constB22) | (~v19(constB22))),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30679, 13351, 30676])).
% 51.53/34.02 tff(30681,plain,
% 51.53/34.02 (~v19(constB22)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30680, 30672])).
% 51.53/34.02 tff(30682,plain,
% 51.53/34.02 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB22) | v19(constB22))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB22) | v19(constB22))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30683,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB22) | v19(constB22))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30684,plain,
% 51.53/34.02 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB22) | v19(constB22)),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30683, 30682])).
% 51.53/34.02 tff(30685,plain,
% 51.53/34.02 (v13(constB22)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30684, 13363, 30681])).
% 51.53/34.02 tff(30686,plain,
% 51.53/34.02 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22)))),
% 51.53/34.02 inference(rewrite,[status(thm)],[])).
% 51.53/34.02 tff(30687,plain,
% 51.53/34.02 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22)))),
% 51.53/34.02 inference(quant_inst,[status(thm)],[])).
% 51.53/34.02 tff(30688,plain,
% 51.53/34.02 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22))),
% 51.53/34.02 inference(modus_ponens,[status(thm)],[30687, 30686])).
% 51.53/34.02 tff(30689,plain,
% 51.53/34.02 (v9(constB21) | (~v13(constB22))),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30688, 13377, 3845])).
% 51.53/34.02 tff(30690,plain,
% 51.53/34.02 (v9(constB21)),
% 51.53/34.02 inference(unit_resolution,[status(thm)],[30689, 30685])).
% 51.53/34.02 tff(30691,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB21) | (~v9(constB21)) | v141(constB21))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB21) | (~v9(constB21)) | v141(constB21))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30692,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB21) | (~v9(constB21)) | v141(constB21))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30693,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB21) | (~v9(constB21)) | v141(constB21)),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30692, 30691])).
% 51.53/34.03 tff(30694,plain,
% 51.53/34.03 ((~v9(constB21)) | v141(constB21)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30693, 13392, 2874])).
% 51.53/34.03 tff(30695,plain,
% 51.53/34.03 (v141(constB21)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30694, 30690])).
% 51.53/34.03 tff(30696,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB21) | (~v141(constB21)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB21) | (~v141(constB21)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30697,plain,
% 51.53/34.03 (((~v141(constB21)) | v140(constB21)) <=> (v140(constB21) | (~v141(constB21)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30698,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB21)) | v140(constB21))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB21) | (~v141(constB21))))),
% 51.53/34.03 inference(monotonicity,[status(thm)],[30697])).
% 51.53/34.03 tff(30699,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB21)) | v140(constB21))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB21) | (~v141(constB21)))),
% 51.53/34.03 inference(transitivity,[status(thm)],[30698, 30696])).
% 51.53/34.03 tff(30700,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB21)) | v140(constB21))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30701,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB21) | (~v141(constB21))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30700, 30699])).
% 51.53/34.03 tff(30702,plain,
% 51.53/34.03 (v140(constB21)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30701, 13404, 30695])).
% 51.53/34.03 tff(30703,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB21)) | (~v140(constB21)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB21)) | (~v140(constB21)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30704,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB21)) | (~v140(constB21)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30705,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB21)) | (~v140(constB21))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30704, 30703])).
% 51.53/34.03 tff(30706,plain,
% 51.53/34.03 (~v138(constB21)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30705, 13495, 30702])).
% 51.53/34.03 tff(30707,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB21) | v142(constB21) | (~v135(constB21)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB21) | v142(constB21) | (~v135(constB21)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30708,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB21) | v142(constB21) | (~v135(constB21)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30709,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB21) | v142(constB21) | (~v135(constB21))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30708, 30707])).
% 51.53/34.03 tff(30710,plain,
% 51.53/34.03 (v142(constB21) | (~v135(constB21))),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30709, 13509, 30706])).
% 51.53/34.03 tff(30711,plain,
% 51.53/34.03 (~v135(constB21)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30710, 30668])).
% 51.53/34.03 tff(30712,plain,
% 51.53/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30713,plain,
% 51.53/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30714,plain,
% 51.53/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30713, 30712])).
% 51.53/34.03 tff(30715,plain,
% 51.53/34.03 (v135(constB21) | (~v137(constB22))),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30714, 13524, 3845])).
% 51.53/34.03 tff(30716,plain,
% 51.53/34.03 (~v137(constB22)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30715, 30711])).
% 51.53/34.03 tff(30717,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB22) | (~v138(constB22)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB22) | (~v138(constB22)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30718,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB22) | (~v138(constB22)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30719,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB22) | (~v138(constB22))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30718, 30717])).
% 51.53/34.03 tff(30720,plain,
% 51.53/34.03 (~v138(constB22)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30719, 13539, 30716])).
% 51.53/34.03 tff(30721,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB22)) | (~v141(constB22)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB22)) | (~v141(constB22)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30722,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB22)) | (~v141(constB22)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30723,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB22)) | (~v141(constB22))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30722, 30721])).
% 51.53/34.03 tff(30724,plain,
% 51.53/34.03 (~v141(constB22)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30723, 13553, 3863])).
% 51.53/34.03 tff(30725,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB22) | (~v144(constB22)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB22) | (~v144(constB22)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30726,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB22) | (~v144(constB22)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30727,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB22) | (~v144(constB22))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30726, 30725])).
% 51.53/34.03 tff(30728,plain,
% 51.53/34.03 (~v144(constB22)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30727, 13567, 30724])).
% 51.53/34.03 tff(30729,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB22) | (~v142(constB22)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB22) | (~v142(constB22)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30730,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB22) | (~v142(constB22)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30731,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB22) | (~v142(constB22))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30730, 30729])).
% 51.53/34.03 tff(30732,plain,
% 51.53/34.03 (~v142(constB22)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30731, 13453, 30728])).
% 51.53/34.03 tff(30733,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB22) | v142(constB22) | (~v135(constB22)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB22) | v142(constB22) | (~v135(constB22)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30734,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB22) | v142(constB22) | (~v135(constB22)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30735,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB22) | v142(constB22) | (~v135(constB22))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30734, 30733])).
% 51.53/34.03 tff(30736,plain,
% 51.53/34.03 (v138(constB22) | (~v135(constB22))),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30735, 13509, 30732])).
% 51.53/34.03 tff(30737,plain,
% 51.53/34.03 (~v135(constB22)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30736, 30720])).
% 51.53/34.03 tff(30738,plain,
% 51.53/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30739,plain,
% 51.53/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30740,plain,
% 51.53/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30739, 30738])).
% 51.53/34.03 tff(30741,plain,
% 51.53/34.03 (v135(constB22) | (~v137(constB23))),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30740, 13524, 3978])).
% 51.53/34.03 tff(30742,plain,
% 51.53/34.03 (~v137(constB23)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30741, 30737])).
% 51.53/34.03 tff(30743,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB23) | (~v138(constB23)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB23) | (~v138(constB23)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30744,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB23) | (~v138(constB23)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30745,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB23) | (~v138(constB23))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30744, 30743])).
% 51.53/34.03 tff(30746,plain,
% 51.53/34.03 (~v138(constB23)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30745, 13539, 30742])).
% 51.53/34.03 tff(30747,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB23) | v142(constB23) | (~v135(constB23)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB23) | v142(constB23) | (~v135(constB23)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30748,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB23) | v142(constB23) | (~v135(constB23)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30749,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB23) | v142(constB23) | (~v135(constB23))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30748, 30747])).
% 51.53/34.03 tff(30750,plain,
% 51.53/34.03 (v142(constB23) | (~v135(constB23))),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30749, 13509, 30746])).
% 51.53/34.03 tff(30751,plain,
% 51.53/34.03 (~v135(constB23)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30750, 30659])).
% 51.53/34.03 tff(30752,plain,
% 51.53/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30753,plain,
% 51.53/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30754,plain,
% 51.53/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30753, 30752])).
% 51.53/34.03 tff(30755,plain,
% 51.53/34.03 (v135(constB23) | (~v137(constB24))),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30754, 13524, 4111])).
% 51.53/34.03 tff(30756,plain,
% 51.53/34.03 (~v137(constB24)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30755, 30751])).
% 51.53/34.03 tff(30757,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB24) | (~v138(constB24)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB24) | (~v138(constB24)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30758,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB24) | (~v138(constB24)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30759,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB24) | (~v138(constB24))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30758, 30757])).
% 51.53/34.03 tff(30760,plain,
% 51.53/34.03 (~v138(constB24)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30759, 13539, 30756])).
% 51.53/34.03 tff(30761,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB24)) | (~v141(constB24)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB24)) | (~v141(constB24)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30762,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB24)) | (~v141(constB24)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30763,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB24)) | (~v141(constB24))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30762, 30761])).
% 51.53/34.03 tff(30764,plain,
% 51.53/34.03 (~v141(constB24)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30763, 13553, 4131])).
% 51.53/34.03 tff(30765,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB24) | (~v144(constB24)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB24) | (~v144(constB24)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30766,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB24) | (~v144(constB24)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30767,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB24) | (~v144(constB24))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30766, 30765])).
% 51.53/34.03 tff(30768,plain,
% 51.53/34.03 (~v144(constB24)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30767, 13567, 30764])).
% 51.53/34.03 tff(30769,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB24) | (~v142(constB24)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB24) | (~v142(constB24)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30770,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB24) | (~v142(constB24)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30771,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB24) | (~v142(constB24))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30770, 30769])).
% 51.53/34.03 tff(30772,plain,
% 51.53/34.03 (~v142(constB24)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30771, 13453, 30768])).
% 51.53/34.03 tff(30773,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB24) | v142(constB24) | (~v135(constB24)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB24) | v142(constB24) | (~v135(constB24)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30774,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB24) | v142(constB24) | (~v135(constB24)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30775,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB24) | v142(constB24) | (~v135(constB24))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30774, 30773])).
% 51.53/34.03 tff(30776,plain,
% 51.53/34.03 (v138(constB24) | (~v135(constB24))),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30775, 13509, 30772])).
% 51.53/34.03 tff(30777,plain,
% 51.53/34.03 (~v135(constB24)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30776, 30760])).
% 51.53/34.03 tff(30778,plain,
% 51.53/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30779,plain,
% 51.53/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30780,plain,
% 51.53/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30779, 30778])).
% 51.53/34.03 tff(30781,plain,
% 51.53/34.03 (v135(constB24) | (~v137(constB25))),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30780, 13524, 4176])).
% 51.53/34.03 tff(30782,plain,
% 51.53/34.03 (~v137(constB25)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30781, 30777])).
% 51.53/34.03 tff(30783,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB25) | (~v154(constB25)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB25) | (~v154(constB25)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30784,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB25) | (~v154(constB25)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30785,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB25) | (~v154(constB25))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30784, 30783])).
% 51.53/34.03 tff(30786,plain,
% 51.53/34.03 (~v154(constB25)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30785, 13595, 30782])).
% 51.53/34.03 tff(30787,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB25)) | (~v153(constB25)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB25)) | (~v153(constB25)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.53/34.03 tff(30788,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB25)) | (~v153(constB25)))),
% 51.53/34.03 inference(quant_inst,[status(thm)],[])).
% 51.53/34.03 tff(30789,plain,
% 51.53/34.03 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB25)) | (~v153(constB25))),
% 51.53/34.03 inference(modus_ponens,[status(thm)],[30788, 30787])).
% 51.53/34.03 tff(30790,plain,
% 51.53/34.03 (~v153(constB25)),
% 51.53/34.03 inference(unit_resolution,[status(thm)],[30789, 13640, 30074])).
% 51.53/34.03 tff(30791,plain,
% 51.53/34.03 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB25) | v154(constB25) | (~v150(constB25)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB25) | v154(constB25) | (~v150(constB25)))),
% 51.53/34.03 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30792,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB25) | v154(constB25) | (~v150(constB25)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30793,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB25) | v154(constB25) | (~v150(constB25))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30792, 30791])).
% 51.55/34.04 tff(30794,plain,
% 51.55/34.04 (v154(constB25) | (~v150(constB25))),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30793, 13654, 30790])).
% 51.55/34.04 tff(30795,plain,
% 51.55/34.04 (~v150(constB25)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30794, 30786])).
% 51.55/34.04 tff(30796,plain,
% 51.55/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30797,plain,
% 51.55/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30798,plain,
% 51.55/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30797, 30796])).
% 51.55/34.04 tff(30799,plain,
% 51.55/34.04 (v150(constB25) | (~v152(constB26))),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30798, 13669, 4630])).
% 51.55/34.04 tff(30800,plain,
% 51.55/34.04 (~v152(constB26)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30799, 30795])).
% 51.55/34.04 tff(30801,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB26) | (~v153(constB26)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB26) | (~v153(constB26)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30802,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB26) | (~v153(constB26)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30803,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB26) | (~v153(constB26))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30802, 30801])).
% 51.55/34.04 tff(30804,plain,
% 51.55/34.04 (~v153(constB26)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30803, 13684, 30800])).
% 51.55/34.04 tff(30805,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB26) | (~v155(constB26)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB26) | (~v155(constB26)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30806,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB26) | (~v155(constB26)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30807,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB26) | (~v155(constB26))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30806, 30805])).
% 51.55/34.04 tff(30808,plain,
% 51.55/34.04 (~v155(constB26)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30807, 13702, 30096])).
% 51.55/34.04 tff(30809,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB26) | (~v154(constB26)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB26) | (~v154(constB26)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30810,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB26) | (~v154(constB26)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30811,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB26) | (~v154(constB26))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30810, 30809])).
% 51.55/34.04 tff(30812,plain,
% 51.55/34.04 (~v154(constB26)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30811, 13716, 30808])).
% 51.55/34.04 tff(30813,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB26) | v154(constB26) | (~v150(constB26)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB26) | v154(constB26) | (~v150(constB26)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30814,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB26) | v154(constB26) | (~v150(constB26)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30815,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB26) | v154(constB26) | (~v150(constB26))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30814, 30813])).
% 51.55/34.04 tff(30816,plain,
% 51.55/34.04 (v153(constB26) | (~v150(constB26))),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30815, 13654, 30812])).
% 51.55/34.04 tff(30817,plain,
% 51.55/34.04 (~v150(constB26)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30816, 30804])).
% 51.55/34.04 tff(30818,plain,
% 51.55/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30819,plain,
% 51.55/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30820,plain,
% 51.55/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30819, 30818])).
% 51.55/34.04 tff(30821,plain,
% 51.55/34.04 (v150(constB26) | (~v152(constB27))),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30820, 13669, 4797])).
% 51.55/34.04 tff(30822,plain,
% 51.55/34.04 (~v152(constB27)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30821, 30817])).
% 51.55/34.04 tff(30823,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB27) | (~v164(constB27)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB27) | (~v164(constB27)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30824,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB27) | (~v164(constB27)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30825,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB27) | (~v164(constB27))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30824, 30823])).
% 51.55/34.04 tff(30826,plain,
% 51.55/34.04 (~v164(constB27)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30825, 13740, 30822])).
% 51.55/34.04 tff(30827,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB27)) | (~v163(constB27)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB27)) | (~v163(constB27)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30828,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB27)) | (~v163(constB27)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30829,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB27)) | (~v163(constB27))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30828, 30827])).
% 51.55/34.04 tff(30830,plain,
% 51.55/34.04 (~v163(constB27)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30829, 13421, 30149])).
% 51.55/34.04 tff(30831,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB27) | v164(constB27) | (~v160(constB27)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB27) | v164(constB27) | (~v160(constB27)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30832,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB27) | v164(constB27) | (~v160(constB27)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30833,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB27) | v164(constB27) | (~v160(constB27))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30832, 30831])).
% 51.55/34.04 tff(30834,plain,
% 51.55/34.04 (v164(constB27) | (~v160(constB27))),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30833, 13754, 30830])).
% 51.55/34.04 tff(30835,plain,
% 51.55/34.04 (~v160(constB27)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30834, 30826])).
% 51.55/34.04 tff(30836,plain,
% 51.55/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30837,plain,
% 51.55/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30838,plain,
% 51.55/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30837, 30836])).
% 51.55/34.04 tff(30839,plain,
% 51.55/34.04 (v160(constB27) | (~v162(constB28))),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30838, 13769, 4918])).
% 51.55/34.04 tff(30840,plain,
% 51.55/34.04 (~v162(constB28)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30839, 30835])).
% 51.55/34.04 tff(30841,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB28) | (~v163(constB28)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB28) | (~v163(constB28)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30842,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB28) | (~v163(constB28)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30843,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB28) | (~v163(constB28))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30842, 30841])).
% 51.55/34.04 tff(30844,plain,
% 51.55/34.04 (~v163(constB28)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30843, 13784, 30840])).
% 51.55/34.04 tff(30845,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB28) | (~v164(constB28)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB28) | (~v164(constB28)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30846,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB28) | (~v164(constB28)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30847,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB28) | (~v164(constB28))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30846, 30845])).
% 51.55/34.04 tff(30848,plain,
% 51.55/34.04 (~v164(constB28)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30847, 13806, 30175])).
% 51.55/34.04 tff(30849,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB28) | v164(constB28) | (~v160(constB28)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB28) | v164(constB28) | (~v160(constB28)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30850,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB28) | v164(constB28) | (~v160(constB28)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30851,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB28) | v164(constB28) | (~v160(constB28))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30850, 30849])).
% 51.55/34.04 tff(30852,plain,
% 51.55/34.04 (v163(constB28) | (~v160(constB28))),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30851, 13754, 30848])).
% 51.55/34.04 tff(30853,plain,
% 51.55/34.04 (~v160(constB28)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30852, 30844])).
% 51.55/34.04 tff(30854,plain,
% 51.55/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30855,plain,
% 51.55/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30856,plain,
% 51.55/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30855, 30854])).
% 51.55/34.04 tff(30857,plain,
% 51.55/34.04 (v160(constB28) | (~v162(constB29))),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30856, 13769, 4980])).
% 51.55/34.04 tff(30858,plain,
% 51.55/34.04 (~v162(constB29)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30857, 30853])).
% 51.55/34.04 tff(30859,plain,
% 51.55/34.04 ($false),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30858, 30647])).
% 51.55/34.04 tff(30860,plain,(~(constB29 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.04 tff(30861,assumption,(constB194 = sK0_VarCurr), introduced(assumption)).
% 51.55/34.04 tff(30862,plain,
% 51.55/34.04 (v1(constB194) <=> v1(sK0_VarCurr)),
% 51.55/34.04 inference(monotonicity,[status(thm)],[30861])).
% 51.55/34.04 tff(30863,plain,
% 51.55/34.04 (v1(sK0_VarCurr) <=> v1(constB194)),
% 51.55/34.04 inference(symmetry,[status(thm)],[30862])).
% 51.55/34.04 tff(30864,plain,
% 51.55/34.04 ((~v1(sK0_VarCurr)) <=> (~v1(constB194))),
% 51.55/34.04 inference(monotonicity,[status(thm)],[30863])).
% 51.55/34.04 tff(30865,plain,
% 51.55/34.04 (~v1(constB194)),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[25725, 30864])).
% 51.55/34.04 tff(30866,plain,
% 51.55/34.04 ($false),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[29765, 30865])).
% 51.55/34.04 tff(30867,plain,(~(constB194 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.04 tff(30868,assumption,(constB69 = sK0_VarCurr), introduced(assumption)).
% 51.55/34.04 tff(30869,plain,
% 51.55/34.04 (v162(constB69) <=> v162(sK0_VarCurr)),
% 51.55/34.04 inference(monotonicity,[status(thm)],[30868])).
% 51.55/34.04 tff(30870,plain,
% 51.55/34.04 (v162(sK0_VarCurr) <=> v162(constB69)),
% 51.55/34.04 inference(symmetry,[status(thm)],[30869])).
% 51.55/34.04 tff(30871,plain,
% 51.55/34.04 (v162(constB69)),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[13315, 30870])).
% 51.55/34.04 tff(30872,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB63)) | (~v84(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB63)) | (~v84(constB63, bitIndex2)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30873,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB63)) | (~v84(constB63, bitIndex2)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30874,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB63)) | (~v84(constB63, bitIndex2))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30873, 30872])).
% 51.55/34.04 tff(30875,plain,
% 51.55/34.04 (~v145(constB63)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30874, 4483, 8431])).
% 51.55/34.04 tff(30876,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB63) | (~v144(constB63)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB63) | (~v144(constB63)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30877,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB63) | (~v144(constB63)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30878,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB63) | (~v144(constB63))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30877, 30876])).
% 51.55/34.04 tff(30879,plain,
% 51.55/34.04 (~v144(constB63)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30878, 13439, 30875])).
% 51.55/34.04 tff(30880,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB63) | (~v142(constB63)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB63) | (~v142(constB63)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30881,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB63) | (~v142(constB63)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30882,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB63) | (~v142(constB63))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30881, 30880])).
% 51.55/34.04 tff(30883,plain,
% 51.55/34.04 (~v142(constB63)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30882, 13453, 30879])).
% 51.55/34.04 tff(30884,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB63)) | (~v140(constB63)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB63)) | (~v140(constB63)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30885,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB63)) | (~v140(constB63)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30886,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB63)) | (~v140(constB63))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30885, 30884])).
% 51.55/34.04 tff(30887,plain,
% 51.55/34.04 (~v138(constB63)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30886, 13495, 29525])).
% 51.55/34.04 tff(30888,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB63) | v142(constB63) | (~v135(constB63)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB63) | v142(constB63) | (~v135(constB63)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30889,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB63) | v142(constB63) | (~v135(constB63)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30890,plain,
% 51.55/34.04 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB63) | v142(constB63) | (~v135(constB63))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30889, 30888])).
% 51.55/34.04 tff(30891,plain,
% 51.55/34.04 (v142(constB63) | (~v135(constB63))),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30890, 13509, 30887])).
% 51.55/34.04 tff(30892,plain,
% 51.55/34.04 (~v135(constB63)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30891, 30883])).
% 51.55/34.04 tff(30893,plain,
% 51.55/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB63, constB64)) | v135(constB63) | (~v137(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB63, constB64)) | v135(constB63) | (~v137(constB64)))),
% 51.55/34.04 inference(rewrite,[status(thm)],[])).
% 51.55/34.04 tff(30894,plain,
% 51.55/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB63, constB64)) | v135(constB63) | (~v137(constB64)))),
% 51.55/34.04 inference(quant_inst,[status(thm)],[])).
% 51.55/34.04 tff(30895,plain,
% 51.55/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB63, constB64)) | v135(constB63) | (~v137(constB64))),
% 51.55/34.04 inference(modus_ponens,[status(thm)],[30894, 30893])).
% 51.55/34.04 tff(30896,plain,
% 51.55/34.04 (v135(constB63) | (~v137(constB64))),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30895, 13524, 8540])).
% 51.55/34.04 tff(30897,plain,
% 51.55/34.04 (~v137(constB64)),
% 51.55/34.04 inference(unit_resolution,[status(thm)],[30896, 30892])).
% 51.55/34.04 tff(30898,plain,
% 51.55/34.04 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB64) | (~v138(constB64)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB64) | (~v138(constB64)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30899,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB64) | (~v138(constB64)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30900,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB64) | (~v138(constB64))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30899, 30898])).
% 51.55/34.05 tff(30901,plain,
% 51.55/34.05 (~v138(constB64)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30900, 13539, 30897])).
% 51.55/34.05 tff(30902,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB64) | (~v144(constB64)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB64) | (~v144(constB64)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30903,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB64) | (~v144(constB64)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30904,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB64) | (~v144(constB64))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30903, 30902])).
% 51.55/34.05 tff(30905,plain,
% 51.55/34.05 (~v144(constB64)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30904, 13567, 29547])).
% 51.55/34.05 tff(30906,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB64) | (~v142(constB64)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB64) | (~v142(constB64)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30907,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB64) | (~v142(constB64)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30908,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB64) | (~v142(constB64))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30907, 30906])).
% 51.55/34.05 tff(30909,plain,
% 51.55/34.05 (~v142(constB64)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30908, 13453, 30905])).
% 51.55/34.05 tff(30910,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB64) | v142(constB64) | (~v135(constB64)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB64) | v142(constB64) | (~v135(constB64)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30911,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB64) | v142(constB64) | (~v135(constB64)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30912,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB64) | v142(constB64) | (~v135(constB64))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30911, 30910])).
% 51.55/34.05 tff(30913,plain,
% 51.55/34.05 (v138(constB64) | (~v135(constB64))),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30912, 13509, 30909])).
% 51.55/34.05 tff(30914,plain,
% 51.55/34.05 (~v135(constB64)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30913, 30901])).
% 51.55/34.05 tff(30915,plain,
% 51.55/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB64, constB65)) | v135(constB64) | (~v137(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB64, constB65)) | v135(constB64) | (~v137(constB65)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30916,plain,
% 51.55/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB64, constB65)) | v135(constB64) | (~v137(constB65)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30917,plain,
% 51.55/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB64, constB65)) | v135(constB64) | (~v137(constB65))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30916, 30915])).
% 51.55/34.05 tff(30918,plain,
% 51.55/34.05 (v135(constB64) | (~v137(constB65))),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30917, 13524, 8602])).
% 51.55/34.05 tff(30919,plain,
% 51.55/34.05 (~v137(constB65)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30918, 30914])).
% 51.55/34.05 tff(30920,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB65) | (~v154(constB65)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB65) | (~v154(constB65)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30921,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB65) | (~v154(constB65)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30922,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB65) | (~v154(constB65))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30921, 30920])).
% 51.55/34.05 tff(30923,plain,
% 51.55/34.05 (~v154(constB65)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30922, 13595, 30919])).
% 51.55/34.05 tff(30924,assumption,(v18(constB66)), introduced(assumption)).
% 51.55/34.05 tff(30925,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB66))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30926,plain,
% 51.55/34.05 ($false),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30925, 13324, 30924])).
% 51.55/34.05 tff(30927,plain,(~v18(constB66)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.05 tff(30928,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30929,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30930,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30929, 30928])).
% 51.55/34.05 tff(30931,plain,
% 51.55/34.05 (v22(constB66)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30930, 13337, 8735])).
% 51.55/34.05 tff(30932,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB66) | (~v22(constB66)) | (~v19(constB66)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB66) | (~v22(constB66)) | (~v19(constB66)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30933,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB66) | (~v22(constB66)) | (~v19(constB66)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30934,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB66) | (~v22(constB66)) | (~v19(constB66))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30933, 30932])).
% 51.55/34.05 tff(30935,plain,
% 51.55/34.05 (v18(constB66) | (~v19(constB66))),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30934, 13351, 30931])).
% 51.55/34.05 tff(30936,plain,
% 51.55/34.05 (~v19(constB66)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30935, 30927])).
% 51.55/34.05 tff(30937,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30938,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30939,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66)),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30938, 30937])).
% 51.55/34.05 tff(30940,plain,
% 51.55/34.05 (v13(constB66)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30939, 13363, 30936])).
% 51.55/34.05 tff(30941,plain,
% 51.55/34.05 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30942,plain,
% 51.55/34.05 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30943,plain,
% 51.55/34.05 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30942, 30941])).
% 51.55/34.05 tff(30944,plain,
% 51.55/34.05 (v9(constB65) | (~v13(constB66))),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30943, 13377, 8715])).
% 51.55/34.05 tff(30945,plain,
% 51.55/34.05 (v9(constB65)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30944, 30940])).
% 51.55/34.05 tff(30946,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v141(constB65))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB65) | (~v9(constB65)) | v141(constB65))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30947,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v141(constB65))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30948,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB65) | (~v9(constB65)) | v141(constB65)),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30947, 30946])).
% 51.55/34.05 tff(30949,plain,
% 51.55/34.05 ((~v9(constB65)) | v141(constB65)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30948, 13392, 8599])).
% 51.55/34.05 tff(30950,plain,
% 51.55/34.05 (v141(constB65)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30949, 30945])).
% 51.55/34.05 tff(30951,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB65)) | v140(constB65))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB65)) | v140(constB65))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30952,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB65)) | v140(constB65))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30953,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB65)) | v140(constB65)),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30952, 30951])).
% 51.55/34.05 tff(30954,plain,
% 51.55/34.05 (v140(constB65)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30953, 13404, 30950])).
% 51.55/34.05 tff(30955,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB65)) | (~v153(constB65)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB65)) | (~v153(constB65)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30956,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB65)) | (~v153(constB65)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30957,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB65)) | (~v153(constB65))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30956, 30955])).
% 51.55/34.05 tff(30958,plain,
% 51.55/34.05 (~v153(constB65)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30957, 13640, 30954])).
% 51.55/34.05 tff(30959,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB65) | v154(constB65) | (~v150(constB65)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB65) | v154(constB65) | (~v150(constB65)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30960,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB65) | v154(constB65) | (~v150(constB65)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30961,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB65) | v154(constB65) | (~v150(constB65))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30960, 30959])).
% 51.55/34.05 tff(30962,plain,
% 51.55/34.05 (v154(constB65) | (~v150(constB65))),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30961, 13654, 30958])).
% 51.55/34.05 tff(30963,plain,
% 51.55/34.05 (~v150(constB65)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30962, 30923])).
% 51.55/34.05 tff(30964,plain,
% 51.55/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB65, constB66)) | v150(constB65) | (~v152(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB65, constB66)) | v150(constB65) | (~v152(constB66)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30965,plain,
% 51.55/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB65, constB66)) | v150(constB65) | (~v152(constB66)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30966,plain,
% 51.55/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB65, constB66)) | v150(constB65) | (~v152(constB66))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30965, 30964])).
% 51.55/34.05 tff(30967,plain,
% 51.55/34.05 (v150(constB65) | (~v152(constB66))),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30966, 13669, 8715])).
% 51.55/34.05 tff(30968,plain,
% 51.55/34.05 (~v152(constB66)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30967, 30963])).
% 51.55/34.05 tff(30969,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB66) | (~v153(constB66)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB66) | (~v153(constB66)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30970,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB66) | (~v153(constB66)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30971,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB66) | (~v153(constB66))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30970, 30969])).
% 51.55/34.05 tff(30972,plain,
% 51.55/34.05 (~v153(constB66)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30971, 13684, 30968])).
% 51.55/34.05 tff(30973,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB66)) | (~v141(constB66)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB66)) | (~v141(constB66)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30974,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB66)) | (~v141(constB66)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30975,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB66)) | (~v141(constB66))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30974, 30973])).
% 51.55/34.05 tff(30976,plain,
% 51.55/34.05 (~v141(constB66)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30975, 13553, 8735])).
% 51.55/34.05 tff(30977,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB66) | (~v155(constB66)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB66) | (~v155(constB66)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30978,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB66) | (~v155(constB66)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30979,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB66) | (~v155(constB66))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30978, 30977])).
% 51.55/34.05 tff(30980,plain,
% 51.55/34.05 (~v155(constB66)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30979, 13702, 30976])).
% 51.55/34.05 tff(30981,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB66) | (~v154(constB66)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB66) | (~v154(constB66)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30982,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB66) | (~v154(constB66)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30983,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB66) | (~v154(constB66))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30982, 30981])).
% 51.55/34.05 tff(30984,plain,
% 51.55/34.05 (~v154(constB66)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30983, 13716, 30980])).
% 51.55/34.05 tff(30985,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB66) | v154(constB66) | (~v150(constB66)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB66) | v154(constB66) | (~v150(constB66)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30986,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB66) | v154(constB66) | (~v150(constB66)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30987,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB66) | v154(constB66) | (~v150(constB66))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30986, 30985])).
% 51.55/34.05 tff(30988,plain,
% 51.55/34.05 (v153(constB66) | (~v150(constB66))),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30987, 13654, 30984])).
% 51.55/34.05 tff(30989,plain,
% 51.55/34.05 (~v150(constB66)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30988, 30972])).
% 51.55/34.05 tff(30990,plain,
% 51.55/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB66, constB67)) | v150(constB66) | (~v152(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB66, constB67)) | v150(constB66) | (~v152(constB67)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30991,plain,
% 51.55/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB66, constB67)) | v150(constB66) | (~v152(constB67)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30992,plain,
% 51.55/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB66, constB67)) | v150(constB66) | (~v152(constB67))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30991, 30990])).
% 51.55/34.05 tff(30993,plain,
% 51.55/34.05 (v150(constB66) | (~v152(constB67))),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30992, 13669, 8804])).
% 51.55/34.05 tff(30994,plain,
% 51.55/34.05 (~v152(constB67)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30993, 30989])).
% 51.55/34.05 tff(30995,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB67) | (~v164(constB67)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB67) | (~v164(constB67)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(30996,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB67) | (~v164(constB67)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(30997,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB67) | (~v164(constB67))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[30996, 30995])).
% 51.55/34.05 tff(30998,plain,
% 51.55/34.05 (~v164(constB67)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[30997, 13740, 30994])).
% 51.55/34.05 tff(30999,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB61)) | (~v84(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB61)) | (~v84(constB61, bitIndex1)))),
% 51.55/34.05 inference(rewrite,[status(thm)],[])).
% 51.55/34.05 tff(31000,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB61)) | (~v84(constB61, bitIndex1)))),
% 51.55/34.05 inference(quant_inst,[status(thm)],[])).
% 51.55/34.05 tff(31001,plain,
% 51.55/34.05 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB61)) | (~v84(constB61, bitIndex1))),
% 51.55/34.05 inference(modus_ponens,[status(thm)],[31000, 30999])).
% 51.55/34.05 tff(31002,plain,
% 51.55/34.05 (~v145(constB61)),
% 51.55/34.05 inference(unit_resolution,[status(thm)],[31001, 1091, 8266])).
% 51.55/34.05 tff(31003,plain,
% 51.55/34.05 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB61) | (~v144(constB61)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB61) | (~v144(constB61)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31004,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB61) | (~v144(constB61)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31005,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB61) | (~v144(constB61))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31004, 31003])).
% 51.55/34.06 tff(31006,plain,
% 51.55/34.06 (~v144(constB61)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31005, 13439, 31002])).
% 51.55/34.06 tff(31007,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB61) | (~v142(constB61)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31008,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB61) | (~v142(constB61)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31009,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB61) | (~v142(constB61))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31008, 31007])).
% 51.55/34.06 tff(31010,plain,
% 51.55/34.06 (~v142(constB61)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31009, 13453, 31006])).
% 51.55/34.06 tff(31011,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB61)) | (~v140(constB61)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB61)) | (~v140(constB61)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31012,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB61)) | (~v140(constB61)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31013,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB61)) | (~v140(constB61))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31012, 31011])).
% 51.55/34.06 tff(31014,plain,
% 51.55/34.06 (~v138(constB61)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31013, 13495, 29447])).
% 51.55/34.06 tff(31015,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB61) | v142(constB61) | (~v135(constB61)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB61) | v142(constB61) | (~v135(constB61)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31016,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB61) | v142(constB61) | (~v135(constB61)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31017,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB61) | v142(constB61) | (~v135(constB61))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31016, 31015])).
% 51.55/34.06 tff(31018,plain,
% 51.55/34.06 (v142(constB61) | (~v135(constB61))),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31017, 13509, 31014])).
% 51.55/34.06 tff(31019,plain,
% 51.55/34.06 (~v135(constB61)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31018, 31010])).
% 51.55/34.06 tff(31020,plain,
% 51.55/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31021,plain,
% 51.55/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31022,plain,
% 51.55/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31021, 31020])).
% 51.55/34.06 tff(31023,plain,
% 51.55/34.06 (v135(constB61) | (~v137(constB62))),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31022, 13524, 8348])).
% 51.55/34.06 tff(31024,plain,
% 51.55/34.06 (~v137(constB62)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31023, 31019])).
% 51.55/34.06 tff(31025,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB62) | (~v138(constB62)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB62) | (~v138(constB62)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31026,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB62) | (~v138(constB62)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31027,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB62) | (~v138(constB62))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31026, 31025])).
% 51.55/34.06 tff(31028,plain,
% 51.55/34.06 (~v138(constB62)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31027, 13539, 31024])).
% 51.55/34.06 tff(31029,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB62) | (~v144(constB62)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB62) | (~v144(constB62)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31030,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB62) | (~v144(constB62)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31031,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB62) | (~v144(constB62))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31030, 31029])).
% 51.55/34.06 tff(31032,plain,
% 51.55/34.06 (~v144(constB62)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31031, 13567, 29469])).
% 51.55/34.06 tff(31033,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB62) | (~v142(constB62)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB62) | (~v142(constB62)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31034,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB62) | (~v142(constB62)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31035,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB62) | (~v142(constB62))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31034, 31033])).
% 51.55/34.06 tff(31036,plain,
% 51.55/34.06 (~v142(constB62)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31035, 13453, 31032])).
% 51.55/34.06 tff(31037,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB62) | v142(constB62) | (~v135(constB62)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB62) | v142(constB62) | (~v135(constB62)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31038,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB62) | v142(constB62) | (~v135(constB62)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31039,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB62) | v142(constB62) | (~v135(constB62))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31038, 31037])).
% 51.55/34.06 tff(31040,plain,
% 51.55/34.06 (v138(constB62) | (~v135(constB62))),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31039, 13509, 31036])).
% 51.55/34.06 tff(31041,plain,
% 51.55/34.06 (~v135(constB62)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31040, 31028])).
% 51.55/34.06 tff(31042,plain,
% 51.55/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31043,plain,
% 51.55/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31044,plain,
% 51.55/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31043, 31042])).
% 51.55/34.06 tff(31045,plain,
% 51.55/34.06 (v135(constB62) | (~v137(constB63))),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31044, 13524, 8410])).
% 51.55/34.06 tff(31046,plain,
% 51.55/34.06 (~v137(constB63)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31045, 31041])).
% 51.55/34.06 tff(31047,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB63) | (~v154(constB63)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB63) | (~v154(constB63)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31048,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB63) | (~v154(constB63)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31049,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB63) | (~v154(constB63))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31048, 31047])).
% 51.55/34.06 tff(31050,plain,
% 51.55/34.06 (~v154(constB63)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31049, 13595, 31046])).
% 51.55/34.06 tff(31051,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB63)) | (~v153(constB63)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB63)) | (~v153(constB63)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31052,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB63)) | (~v153(constB63)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31053,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB63)) | (~v153(constB63))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31052, 31051])).
% 51.55/34.06 tff(31054,plain,
% 51.55/34.06 (~v153(constB63)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31053, 13640, 29525])).
% 51.55/34.06 tff(31055,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB63) | v154(constB63) | (~v150(constB63)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB63) | v154(constB63) | (~v150(constB63)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31056,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB63) | v154(constB63) | (~v150(constB63)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31057,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB63) | v154(constB63) | (~v150(constB63))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31056, 31055])).
% 51.55/34.06 tff(31058,plain,
% 51.55/34.06 (v154(constB63) | (~v150(constB63))),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31057, 13654, 31054])).
% 51.55/34.06 tff(31059,plain,
% 51.55/34.06 (~v150(constB63)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31058, 31050])).
% 51.55/34.06 tff(31060,plain,
% 51.55/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB63, constB64)) | v150(constB63) | (~v152(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB63, constB64)) | v150(constB63) | (~v152(constB64)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31061,plain,
% 51.55/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB63, constB64)) | v150(constB63) | (~v152(constB64)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31062,plain,
% 51.55/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB63, constB64)) | v150(constB63) | (~v152(constB64))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31061, 31060])).
% 51.55/34.06 tff(31063,plain,
% 51.55/34.06 (v150(constB63) | (~v152(constB64))),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31062, 13669, 8540])).
% 51.55/34.06 tff(31064,plain,
% 51.55/34.06 (~v152(constB64)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31063, 31059])).
% 51.55/34.06 tff(31065,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB64) | (~v153(constB64)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB64) | (~v153(constB64)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31066,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB64) | (~v153(constB64)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31067,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB64) | (~v153(constB64))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31066, 31065])).
% 51.55/34.06 tff(31068,plain,
% 51.55/34.06 (~v153(constB64)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31067, 13684, 31064])).
% 51.55/34.06 tff(31069,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB64) | (~v154(constB64)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB64) | (~v154(constB64)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31070,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB64) | (~v154(constB64)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31071,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB64) | (~v154(constB64))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31070, 31069])).
% 51.55/34.06 tff(31072,plain,
% 51.55/34.06 (~v154(constB64)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31071, 13716, 29551])).
% 51.55/34.06 tff(31073,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB64) | v154(constB64) | (~v150(constB64)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB64) | v154(constB64) | (~v150(constB64)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31074,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB64) | v154(constB64) | (~v150(constB64)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31075,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB64) | v154(constB64) | (~v150(constB64))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31074, 31073])).
% 51.55/34.06 tff(31076,plain,
% 51.55/34.06 (v153(constB64) | (~v150(constB64))),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31075, 13654, 31072])).
% 51.55/34.06 tff(31077,plain,
% 51.55/34.06 (~v150(constB64)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31076, 31068])).
% 51.55/34.06 tff(31078,plain,
% 51.55/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB64, constB65)) | v150(constB64) | (~v152(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB64, constB65)) | v150(constB64) | (~v152(constB65)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31079,plain,
% 51.55/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB64, constB65)) | v150(constB64) | (~v152(constB65)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31080,plain,
% 51.55/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB64, constB65)) | v150(constB64) | (~v152(constB65))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31079, 31078])).
% 51.55/34.06 tff(31081,plain,
% 51.55/34.06 (v150(constB64) | (~v152(constB65))),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31080, 13669, 8602])).
% 51.55/34.06 tff(31082,plain,
% 51.55/34.06 (~v152(constB65)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31081, 31077])).
% 51.55/34.06 tff(31083,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB65) | (~v164(constB65)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB65) | (~v164(constB65)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31084,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB65) | (~v164(constB65)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31085,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB65) | (~v164(constB65))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31084, 31083])).
% 51.55/34.06 tff(31086,plain,
% 51.55/34.06 (~v164(constB65)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31085, 13740, 31082])).
% 51.55/34.06 tff(31087,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB65)) | (~v163(constB65)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB65)) | (~v163(constB65)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31088,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB65)) | (~v163(constB65)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31089,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB65)) | (~v163(constB65))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31088, 31087])).
% 51.55/34.06 tff(31090,plain,
% 51.55/34.06 (~v163(constB65)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31089, 13421, 30954])).
% 51.55/34.06 tff(31091,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB65) | v164(constB65) | (~v160(constB65)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB65) | v164(constB65) | (~v160(constB65)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31092,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB65) | v164(constB65) | (~v160(constB65)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31093,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB65) | v164(constB65) | (~v160(constB65))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31092, 31091])).
% 51.55/34.06 tff(31094,plain,
% 51.55/34.06 (v164(constB65) | (~v160(constB65))),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31093, 13754, 31090])).
% 51.55/34.06 tff(31095,plain,
% 51.55/34.06 (~v160(constB65)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31094, 31086])).
% 51.55/34.06 tff(31096,plain,
% 51.55/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB65, constB66)) | v160(constB65) | (~v162(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB65, constB66)) | v160(constB65) | (~v162(constB66)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31097,plain,
% 51.55/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB65, constB66)) | v160(constB65) | (~v162(constB66)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31098,plain,
% 51.55/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB65, constB66)) | v160(constB65) | (~v162(constB66))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31097, 31096])).
% 51.55/34.06 tff(31099,plain,
% 51.55/34.06 (v160(constB65) | (~v162(constB66))),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31098, 13769, 8715])).
% 51.55/34.06 tff(31100,plain,
% 51.55/34.06 (~v162(constB66)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31099, 31095])).
% 51.55/34.06 tff(31101,plain,
% 51.55/34.06 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB66) | (~v163(constB66)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB66) | (~v163(constB66)))),
% 51.55/34.06 inference(rewrite,[status(thm)],[])).
% 51.55/34.06 tff(31102,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB66) | (~v163(constB66)))),
% 51.55/34.06 inference(quant_inst,[status(thm)],[])).
% 51.55/34.06 tff(31103,plain,
% 51.55/34.06 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB66) | (~v163(constB66))),
% 51.55/34.06 inference(modus_ponens,[status(thm)],[31102, 31101])).
% 51.55/34.06 tff(31104,plain,
% 51.55/34.06 (~v163(constB66)),
% 51.55/34.06 inference(unit_resolution,[status(thm)],[31103, 13784, 31100])).
% 51.55/34.07 tff(31105,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB66) | (~v164(constB66)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB66) | (~v164(constB66)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31106,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB66) | (~v164(constB66)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31107,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB66) | (~v164(constB66))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31106, 31105])).
% 51.55/34.07 tff(31108,plain,
% 51.55/34.07 (~v164(constB66)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31107, 13806, 30980])).
% 51.55/34.07 tff(31109,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB66) | v164(constB66) | (~v160(constB66)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB66) | v164(constB66) | (~v160(constB66)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31110,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB66) | v164(constB66) | (~v160(constB66)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31111,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB66) | v164(constB66) | (~v160(constB66))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31110, 31109])).
% 51.55/34.07 tff(31112,plain,
% 51.55/34.07 (v163(constB66) | (~v160(constB66))),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31111, 13754, 31108])).
% 51.55/34.07 tff(31113,plain,
% 51.55/34.07 (~v160(constB66)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31112, 31104])).
% 51.55/34.07 tff(31114,plain,
% 51.55/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB66, constB67)) | v160(constB66) | (~v162(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB66, constB67)) | v160(constB66) | (~v162(constB67)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31115,plain,
% 51.55/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB66, constB67)) | v160(constB66) | (~v162(constB67)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31116,plain,
% 51.55/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB66, constB67)) | v160(constB66) | (~v162(constB67))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31115, 31114])).
% 51.55/34.07 tff(31117,plain,
% 51.55/34.07 (v160(constB66) | (~v162(constB67))),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31116, 13769, 8804])).
% 51.55/34.07 tff(31118,plain,
% 51.55/34.07 (~v162(constB67)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31117, 31113])).
% 51.55/34.07 tff(31119,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB67) | (~v163(constB67)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB67) | (~v163(constB67)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31120,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB67) | (~v163(constB67)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31121,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB67) | (~v163(constB67))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31120, 31119])).
% 51.55/34.07 tff(31122,plain,
% 51.55/34.07 (~v163(constB67)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31121, 13784, 31118])).
% 51.55/34.07 tff(31123,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB67) | v164(constB67) | (~v160(constB67)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB67) | v164(constB67) | (~v160(constB67)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31124,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB67) | v164(constB67) | (~v160(constB67)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31125,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB67) | v164(constB67) | (~v160(constB67))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31124, 31123])).
% 51.55/34.07 tff(31126,plain,
% 51.55/34.07 (v164(constB67) | (~v160(constB67))),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31125, 13754, 31122])).
% 51.55/34.07 tff(31127,plain,
% 51.55/34.07 (~v160(constB67)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31126, 30998])).
% 51.55/34.07 tff(31128,plain,
% 51.55/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB67, constB68)) | v160(constB67) | (~v162(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB67, constB68)) | v160(constB67) | (~v162(constB68)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31129,plain,
% 51.55/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB67, constB68)) | v160(constB67) | (~v162(constB68)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31130,plain,
% 51.55/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB67, constB68)) | v160(constB67) | (~v162(constB68))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31129, 31128])).
% 51.55/34.07 tff(31131,plain,
% 51.55/34.07 (v160(constB67) | (~v162(constB68))),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31130, 13769, 8952])).
% 51.55/34.07 tff(31132,plain,
% 51.55/34.07 (~v162(constB68)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31131, 31127])).
% 51.55/34.07 tff(31133,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB68) | (~v163(constB68)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB68) | (~v163(constB68)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31134,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB68) | (~v163(constB68)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31135,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB68) | (~v163(constB68))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31134, 31133])).
% 51.55/34.07 tff(31136,plain,
% 51.55/34.07 (~v163(constB68)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31135, 13784, 31132])).
% 51.55/34.07 tff(31137,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB68)) | (~v141(constB68)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB68)) | (~v141(constB68)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31138,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB68)) | (~v141(constB68)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31139,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB68)) | (~v141(constB68))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31138, 31137])).
% 51.55/34.07 tff(31140,plain,
% 51.55/34.07 (~v141(constB68)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31139, 13553, 8972])).
% 51.55/34.07 tff(31141,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB68) | (~v155(constB68)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB68) | (~v155(constB68)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31142,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB68) | (~v155(constB68)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31143,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB68) | (~v155(constB68))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31142, 31141])).
% 51.55/34.07 tff(31144,plain,
% 51.55/34.07 (~v155(constB68)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31143, 13702, 31140])).
% 51.55/34.07 tff(31145,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB68) | (~v164(constB68)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB68) | (~v164(constB68)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31146,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB68) | (~v164(constB68)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31147,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB68) | (~v164(constB68))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31146, 31145])).
% 51.55/34.07 tff(31148,plain,
% 51.55/34.07 (~v164(constB68)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31147, 13806, 31144])).
% 51.55/34.07 tff(31149,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB68) | v164(constB68) | (~v160(constB68)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB68) | v164(constB68) | (~v160(constB68)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31150,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB68) | v164(constB68) | (~v160(constB68)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31151,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB68) | v164(constB68) | (~v160(constB68))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31150, 31149])).
% 51.55/34.07 tff(31152,plain,
% 51.55/34.07 (v163(constB68) | (~v160(constB68))),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31151, 13754, 31148])).
% 51.55/34.07 tff(31153,plain,
% 51.55/34.07 (~v160(constB68)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31152, 31136])).
% 51.55/34.07 tff(31154,plain,
% 51.55/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB68, constB69)) | v160(constB68) | (~v162(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB68, constB69)) | v160(constB68) | (~v162(constB69)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31155,plain,
% 51.55/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB68, constB69)) | v160(constB68) | (~v162(constB69)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31156,plain,
% 51.55/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB68, constB69)) | v160(constB68) | (~v162(constB69))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31155, 31154])).
% 51.55/34.07 tff(31157,plain,
% 51.55/34.07 (v160(constB68) | (~v162(constB69))),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31156, 13769, 9014])).
% 51.55/34.07 tff(31158,plain,
% 51.55/34.07 (~v162(constB69)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31157, 31153])).
% 51.55/34.07 tff(31159,plain,
% 51.55/34.07 ($false),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31158, 30871])).
% 51.55/34.07 tff(31160,plain,(~(constB69 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.07 tff(31161,assumption,(constB144 = sK0_VarCurr), introduced(assumption)).
% 51.55/34.07 tff(31162,plain,
% 51.55/34.07 (v1(constB144) <=> v1(sK0_VarCurr)),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31161])).
% 51.55/34.07 tff(31163,plain,
% 51.55/34.07 (v1(sK0_VarCurr) <=> v1(constB144)),
% 51.55/34.07 inference(symmetry,[status(thm)],[31162])).
% 51.55/34.07 tff(31164,plain,
% 51.55/34.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB144))),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31163])).
% 51.55/34.07 tff(31165,plain,
% 51.55/34.07 (~v1(constB144)),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[25725, 31164])).
% 51.55/34.07 tff(31166,plain,
% 51.55/34.07 ($false),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[18334, 31165])).
% 51.55/34.07 tff(31167,plain,(~(constB144 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.07 tff(31168,assumption,(constB178 = sK0_VarCurr), introduced(assumption)).
% 51.55/34.07 tff(31169,plain,
% 51.55/34.07 (v1(constB178) <=> v1(sK0_VarCurr)),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31168])).
% 51.55/34.07 tff(31170,plain,
% 51.55/34.07 (v1(sK0_VarCurr) <=> v1(constB178)),
% 51.55/34.07 inference(symmetry,[status(thm)],[31169])).
% 51.55/34.07 tff(31171,plain,
% 51.55/34.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB178))),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31170])).
% 51.55/34.07 tff(31172,plain,
% 51.55/34.07 (~v1(constB178)),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[25725, 31171])).
% 51.55/34.07 tff(31173,plain,
% 51.55/34.07 ($false),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[22473, 31172])).
% 51.55/34.07 tff(31174,plain,(~(constB178 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.07 tff(31175,assumption,(constB120 = sK0_VarCurr), introduced(assumption)).
% 51.55/34.07 tff(31176,plain,
% 51.55/34.07 (v1(constB120) <=> v1(sK0_VarCurr)),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31175])).
% 51.55/34.07 tff(31177,plain,
% 51.55/34.07 (v1(sK0_VarCurr) <=> v1(constB120)),
% 51.55/34.07 inference(symmetry,[status(thm)],[31176])).
% 51.55/34.07 tff(31178,plain,
% 51.55/34.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB120))),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31177])).
% 51.55/34.07 tff(31179,plain,
% 51.55/34.07 (~v1(constB120)),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[25725, 31178])).
% 51.55/34.07 tff(31180,plain,
% 51.55/34.07 ($false),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[15562, 31179])).
% 51.55/34.07 tff(31181,plain,(~(constB120 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.07 tff(31182,assumption,(constB190 = sK0_VarCurr), introduced(assumption)).
% 51.55/34.07 tff(31183,plain,
% 51.55/34.07 (v1(constB190) <=> v1(sK0_VarCurr)),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31182])).
% 51.55/34.07 tff(31184,plain,
% 51.55/34.07 (v1(sK0_VarCurr) <=> v1(constB190)),
% 51.55/34.07 inference(symmetry,[status(thm)],[31183])).
% 51.55/34.07 tff(31185,plain,
% 51.55/34.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB190))),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31184])).
% 51.55/34.07 tff(31186,plain,
% 51.55/34.07 (~v1(constB190)),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[25725, 31185])).
% 51.55/34.07 tff(31187,plain,
% 51.55/34.07 ($false),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[24415, 31186])).
% 51.55/34.07 tff(31188,plain,(~(constB190 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.07 tff(31189,assumption,(constB64 = sK0_VarCurr), introduced(assumption)).
% 51.55/34.07 tff(31190,plain,
% 51.55/34.07 (v1(constB64) <=> v1(sK0_VarCurr)),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31189])).
% 51.55/34.07 tff(31191,plain,
% 51.55/34.07 (v1(sK0_VarCurr) <=> v1(constB64)),
% 51.55/34.07 inference(symmetry,[status(thm)],[31190])).
% 51.55/34.07 tff(31192,plain,
% 51.55/34.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB64))),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31191])).
% 51.55/34.07 tff(31193,plain,
% 51.55/34.07 (~v1(constB64)),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[25725, 31192])).
% 51.55/34.07 tff(31194,plain,
% 51.55/34.07 ($false),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[8560, 31193])).
% 51.55/34.07 tff(31195,plain,(~(constB64 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.07 tff(31196,assumption,(constB24 = sK0_VarCurr), introduced(assumption)).
% 51.55/34.07 tff(31197,plain,
% 51.55/34.07 (v1(constB24) <=> v1(sK0_VarCurr)),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31196])).
% 51.55/34.07 tff(31198,plain,
% 51.55/34.07 (v1(sK0_VarCurr) <=> v1(constB24)),
% 51.55/34.07 inference(symmetry,[status(thm)],[31197])).
% 51.55/34.07 tff(31199,plain,
% 51.55/34.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB24))),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31198])).
% 51.55/34.07 tff(31200,plain,
% 51.55/34.07 (~v1(constB24)),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[25725, 31199])).
% 51.55/34.07 tff(31201,plain,
% 51.55/34.07 ($false),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[4131, 31200])).
% 51.55/34.07 tff(31202,plain,(~(constB24 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.07 tff(31203,assumption,(constB51 = sK0_VarCurr), introduced(assumption)).
% 51.55/34.07 tff(31204,plain,
% 51.55/34.07 (v162(constB51) <=> v162(sK0_VarCurr)),
% 51.55/34.07 inference(monotonicity,[status(thm)],[31203])).
% 51.55/34.07 tff(31205,plain,
% 51.55/34.07 (v162(sK0_VarCurr) <=> v162(constB51)),
% 51.55/34.07 inference(symmetry,[status(thm)],[31204])).
% 51.55/34.07 tff(31206,plain,
% 51.55/34.07 (v162(constB51)),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[13315, 31205])).
% 51.55/34.07 tff(31207,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB45) | (~v144(constB45)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB45) | (~v144(constB45)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31208,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB45) | (~v144(constB45)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31209,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB45) | (~v144(constB45))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31208, 31207])).
% 51.55/34.07 tff(31210,plain,
% 51.55/34.07 (~v144(constB45)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31209, 13439, 6754])).
% 51.55/34.07 tff(31211,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB45) | (~v142(constB45)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB45) | (~v142(constB45)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31212,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB45) | (~v142(constB45)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31213,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB45) | (~v142(constB45))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31212, 31211])).
% 51.55/34.07 tff(31214,plain,
% 51.55/34.07 (~v142(constB45)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31213, 13453, 31210])).
% 51.55/34.07 tff(31215,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB45)) | (~v140(constB45)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB45)) | (~v140(constB45)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31216,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB45)) | (~v140(constB45)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31217,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB45)) | (~v140(constB45))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31216, 31215])).
% 51.55/34.07 tff(31218,plain,
% 51.55/34.07 (~v138(constB45)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31217, 13495, 29041])).
% 51.55/34.07 tff(31219,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB45) | v142(constB45) | (~v135(constB45)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB45) | v142(constB45) | (~v135(constB45)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31220,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB45) | v142(constB45) | (~v135(constB45)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31221,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB45) | v142(constB45) | (~v135(constB45))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31220, 31219])).
% 51.55/34.07 tff(31222,plain,
% 51.55/34.07 (v142(constB45) | (~v135(constB45))),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31221, 13509, 31218])).
% 51.55/34.07 tff(31223,plain,
% 51.55/34.07 (~v135(constB45)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31222, 31214])).
% 51.55/34.07 tff(31224,plain,
% 51.55/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31225,plain,
% 51.55/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31226,plain,
% 51.55/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31225, 31224])).
% 51.55/34.07 tff(31227,plain,
% 51.55/34.07 (v135(constB45) | (~v137(constB46))),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31226, 13524, 6696])).
% 51.55/34.07 tff(31228,plain,
% 51.55/34.07 (~v137(constB46)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31227, 31223])).
% 51.55/34.07 tff(31229,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB46) | (~v138(constB46)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB46) | (~v138(constB46)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31230,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB46) | (~v138(constB46)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31231,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB46) | (~v138(constB46))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31230, 31229])).
% 51.55/34.07 tff(31232,plain,
% 51.55/34.07 (~v138(constB46)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31231, 13539, 31228])).
% 51.55/34.07 tff(31233,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB46) | (~v144(constB46)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB46) | (~v144(constB46)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31234,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB46) | (~v144(constB46)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31235,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB46) | (~v144(constB46))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31234, 31233])).
% 51.55/34.07 tff(31236,plain,
% 51.55/34.07 (~v144(constB46)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31235, 13567, 29063])).
% 51.55/34.07 tff(31237,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB46) | (~v142(constB46)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB46) | (~v142(constB46)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31238,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB46) | (~v142(constB46)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31239,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB46) | (~v142(constB46))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31238, 31237])).
% 51.55/34.07 tff(31240,plain,
% 51.55/34.07 (~v142(constB46)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31239, 13453, 31236])).
% 51.55/34.07 tff(31241,plain,
% 51.55/34.07 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB46) | v142(constB46) | (~v135(constB46)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB46) | v142(constB46) | (~v135(constB46)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31242,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB46) | v142(constB46) | (~v135(constB46)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31243,plain,
% 51.55/34.07 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB46) | v142(constB46) | (~v135(constB46))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31242, 31241])).
% 51.55/34.07 tff(31244,plain,
% 51.55/34.07 (v138(constB46) | (~v135(constB46))),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31243, 13509, 31240])).
% 51.55/34.07 tff(31245,plain,
% 51.55/34.07 (~v135(constB46)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31244, 31232])).
% 51.55/34.07 tff(31246,plain,
% 51.55/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47)))),
% 51.55/34.07 inference(rewrite,[status(thm)],[])).
% 51.55/34.07 tff(31247,plain,
% 51.55/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47)))),
% 51.55/34.07 inference(quant_inst,[status(thm)],[])).
% 51.55/34.07 tff(31248,plain,
% 51.55/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47))),
% 51.55/34.07 inference(modus_ponens,[status(thm)],[31247, 31246])).
% 51.55/34.07 tff(31249,plain,
% 51.55/34.07 (v135(constB46) | (~v137(constB47))),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31248, 13524, 6785])).
% 51.55/34.07 tff(31250,plain,
% 51.55/34.07 (~v137(constB47)),
% 51.55/34.07 inference(unit_resolution,[status(thm)],[31249, 31245])).
% 51.55/34.08 tff(31251,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB47) | (~v154(constB47)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB47) | (~v154(constB47)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31252,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB47) | (~v154(constB47)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31253,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB47) | (~v154(constB47))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31252, 31251])).
% 51.55/34.08 tff(31254,plain,
% 51.55/34.08 (~v154(constB47)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31253, 13595, 31250])).
% 51.55/34.08 tff(31255,assumption,(v18(constB48)), introduced(assumption)).
% 51.55/34.08 tff(31256,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB48))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31257,plain,
% 51.55/34.08 ($false),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31256, 13324, 31255])).
% 51.55/34.08 tff(31258,plain,(~v18(constB48)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.08 tff(31259,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31260,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31261,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31260, 31259])).
% 51.55/34.08 tff(31262,plain,
% 51.55/34.08 (v22(constB48)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31261, 13337, 6953])).
% 51.55/34.08 tff(31263,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB48) | (~v22(constB48)) | (~v19(constB48)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB48) | (~v22(constB48)) | (~v19(constB48)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31264,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB48) | (~v22(constB48)) | (~v19(constB48)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31265,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB48) | (~v22(constB48)) | (~v19(constB48))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31264, 31263])).
% 51.55/34.08 tff(31266,plain,
% 51.55/34.08 (v18(constB48) | (~v19(constB48))),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31265, 13351, 31262])).
% 51.55/34.08 tff(31267,plain,
% 51.55/34.08 (~v19(constB48)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31266, 31258])).
% 51.55/34.08 tff(31268,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31269,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31270,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48)),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31269, 31268])).
% 51.55/34.08 tff(31271,plain,
% 51.55/34.08 (v13(constB48)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31270, 13363, 31267])).
% 51.55/34.08 tff(31272,plain,
% 51.55/34.08 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31273,plain,
% 51.55/34.08 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31274,plain,
% 51.55/34.08 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31273, 31272])).
% 51.55/34.08 tff(31275,plain,
% 51.55/34.08 (v9(constB47) | (~v13(constB48))),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31274, 13377, 6933])).
% 51.55/34.08 tff(31276,plain,
% 51.55/34.08 (v9(constB47)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31275, 31271])).
% 51.55/34.08 tff(31277,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v141(constB47))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB47) | (~v9(constB47)) | v141(constB47))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31278,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v141(constB47))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31279,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB47) | (~v9(constB47)) | v141(constB47)),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31278, 31277])).
% 51.55/34.08 tff(31280,plain,
% 51.55/34.08 ((~v9(constB47)) | v141(constB47)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31279, 13392, 6782])).
% 51.55/34.08 tff(31281,plain,
% 51.55/34.08 (v141(constB47)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31280, 31276])).
% 51.55/34.08 tff(31282,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB47)) | v140(constB47))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB47)) | v140(constB47))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31283,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB47)) | v140(constB47))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31284,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB47)) | v140(constB47)),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31283, 31282])).
% 51.55/34.08 tff(31285,plain,
% 51.55/34.08 (v140(constB47)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31284, 13404, 31281])).
% 51.55/34.08 tff(31286,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB47)) | (~v153(constB47)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB47)) | (~v153(constB47)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31287,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB47)) | (~v153(constB47)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31288,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB47)) | (~v153(constB47))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31287, 31286])).
% 51.55/34.08 tff(31289,plain,
% 51.55/34.08 (~v153(constB47)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31288, 13640, 31285])).
% 51.55/34.08 tff(31290,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB47) | v154(constB47) | (~v150(constB47)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB47) | v154(constB47) | (~v150(constB47)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31291,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB47) | v154(constB47) | (~v150(constB47)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31292,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB47) | v154(constB47) | (~v150(constB47))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31291, 31290])).
% 51.55/34.08 tff(31293,plain,
% 51.55/34.08 (v154(constB47) | (~v150(constB47))),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31292, 13654, 31289])).
% 51.55/34.08 tff(31294,plain,
% 51.55/34.08 (~v150(constB47)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31293, 31254])).
% 51.55/34.08 tff(31295,plain,
% 51.55/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31296,plain,
% 51.55/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31297,plain,
% 51.55/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31296, 31295])).
% 51.55/34.08 tff(31298,plain,
% 51.55/34.08 (v150(constB47) | (~v152(constB48))),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31297, 13669, 6933])).
% 51.55/34.08 tff(31299,plain,
% 51.55/34.08 (~v152(constB48)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31298, 31294])).
% 51.55/34.08 tff(31300,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB48) | (~v153(constB48)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB48) | (~v153(constB48)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31301,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB48) | (~v153(constB48)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31302,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB48) | (~v153(constB48))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31301, 31300])).
% 51.55/34.08 tff(31303,plain,
% 51.55/34.08 (~v153(constB48)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31302, 13684, 31299])).
% 51.55/34.08 tff(31304,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB48)) | (~v141(constB48)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB48)) | (~v141(constB48)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31305,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB48)) | (~v141(constB48)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31306,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB48)) | (~v141(constB48))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31305, 31304])).
% 51.55/34.08 tff(31307,plain,
% 51.55/34.08 (~v141(constB48)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31306, 13553, 6953])).
% 51.55/34.08 tff(31308,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB48) | (~v155(constB48)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB48) | (~v155(constB48)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31309,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB48) | (~v155(constB48)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31310,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB48) | (~v155(constB48))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31309, 31308])).
% 51.55/34.08 tff(31311,plain,
% 51.55/34.08 (~v155(constB48)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31310, 13702, 31307])).
% 51.55/34.08 tff(31312,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB48) | (~v154(constB48)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB48) | (~v154(constB48)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31313,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB48) | (~v154(constB48)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31314,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB48) | (~v154(constB48))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31313, 31312])).
% 51.55/34.08 tff(31315,plain,
% 51.55/34.08 (~v154(constB48)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31314, 13716, 31311])).
% 51.55/34.08 tff(31316,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB48) | v154(constB48) | (~v150(constB48)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB48) | v154(constB48) | (~v150(constB48)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31317,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB48) | v154(constB48) | (~v150(constB48)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31318,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB48) | v154(constB48) | (~v150(constB48))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31317, 31316])).
% 51.55/34.08 tff(31319,plain,
% 51.55/34.08 (v153(constB48) | (~v150(constB48))),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31318, 13654, 31315])).
% 51.55/34.08 tff(31320,plain,
% 51.55/34.08 (~v150(constB48)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31319, 31303])).
% 51.55/34.08 tff(31321,plain,
% 51.55/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31322,plain,
% 51.55/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31323,plain,
% 51.55/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31322, 31321])).
% 51.55/34.08 tff(31324,plain,
% 51.55/34.08 (v150(constB48) | (~v152(constB49))),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31323, 13669, 6998])).
% 51.55/34.08 tff(31325,plain,
% 51.55/34.08 (~v152(constB49)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31324, 31320])).
% 51.55/34.08 tff(31326,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB49) | (~v164(constB49)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB49) | (~v164(constB49)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31327,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB49) | (~v164(constB49)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31328,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB49) | (~v164(constB49))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31327, 31326])).
% 51.55/34.08 tff(31329,plain,
% 51.55/34.08 (~v164(constB49)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31328, 13740, 31325])).
% 51.55/34.08 tff(31330,assumption,(v18(constB50)), introduced(assumption)).
% 51.55/34.08 tff(31331,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB50))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31332,plain,
% 51.55/34.08 ($false),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31331, 13324, 31330])).
% 51.55/34.08 tff(31333,plain,(~v18(constB50)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.08 tff(31334,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31335,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31336,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31335, 31334])).
% 51.55/34.08 tff(31337,plain,
% 51.55/34.08 (v22(constB50)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31336, 13337, 7164])).
% 51.55/34.08 tff(31338,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB50) | (~v22(constB50)) | (~v19(constB50)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB50) | (~v22(constB50)) | (~v19(constB50)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31339,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB50) | (~v22(constB50)) | (~v19(constB50)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31340,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB50) | (~v22(constB50)) | (~v19(constB50))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31339, 31338])).
% 51.55/34.08 tff(31341,plain,
% 51.55/34.08 (v18(constB50) | (~v19(constB50))),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31340, 13351, 31337])).
% 51.55/34.08 tff(31342,plain,
% 51.55/34.08 (~v19(constB50)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31341, 31333])).
% 51.55/34.08 tff(31343,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31344,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31345,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50)),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31344, 31343])).
% 51.55/34.08 tff(31346,plain,
% 51.55/34.08 (v13(constB50)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31345, 13363, 31342])).
% 51.55/34.08 tff(31347,plain,
% 51.55/34.08 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB49) | (~v13(constB50)) | (~nextState(constB49, constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB49) | (~v13(constB50)) | (~nextState(constB49, constB50)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31348,plain,
% 51.55/34.08 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB49) | (~v13(constB50)) | (~nextState(constB49, constB50)))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31349,plain,
% 51.55/34.08 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB49) | (~v13(constB50)) | (~nextState(constB49, constB50))),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31348, 31347])).
% 51.55/34.08 tff(31350,plain,
% 51.55/34.08 (v9(constB49) | (~v13(constB50))),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31349, 13377, 7138])).
% 51.55/34.08 tff(31351,plain,
% 51.55/34.08 (v9(constB49)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31350, 31346])).
% 51.55/34.08 tff(31352,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v141(constB49))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB49) | (~v9(constB49)) | v141(constB49))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.08 tff(31353,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v141(constB49))),
% 51.55/34.08 inference(quant_inst,[status(thm)],[])).
% 51.55/34.08 tff(31354,plain,
% 51.55/34.08 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB49) | (~v9(constB49)) | v141(constB49)),
% 51.55/34.08 inference(modus_ponens,[status(thm)],[31353, 31352])).
% 51.55/34.08 tff(31355,plain,
% 51.55/34.08 ((~v9(constB49)) | v141(constB49)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31354, 13392, 6995])).
% 51.55/34.08 tff(31356,plain,
% 51.55/34.08 (v141(constB49)),
% 51.55/34.08 inference(unit_resolution,[status(thm)],[31355, 31351])).
% 51.55/34.08 tff(31357,plain,
% 51.55/34.08 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB49) | (~v141(constB49)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB49) | (~v141(constB49)))),
% 51.55/34.08 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31358,plain,
% 51.55/34.09 (((~v141(constB49)) | v140(constB49)) <=> (v140(constB49) | (~v141(constB49)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31359,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB49)) | v140(constB49))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB49) | (~v141(constB49))))),
% 51.55/34.09 inference(monotonicity,[status(thm)],[31358])).
% 51.55/34.09 tff(31360,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB49)) | v140(constB49))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB49) | (~v141(constB49)))),
% 51.55/34.09 inference(transitivity,[status(thm)],[31359, 31357])).
% 51.55/34.09 tff(31361,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB49)) | v140(constB49))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31362,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB49) | (~v141(constB49))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31361, 31360])).
% 51.55/34.09 tff(31363,plain,
% 51.55/34.09 (v140(constB49)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31362, 13404, 31356])).
% 51.55/34.09 tff(31364,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB49)) | (~v163(constB49)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB49)) | (~v163(constB49)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31365,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB49)) | (~v163(constB49)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31366,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB49)) | (~v163(constB49))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31365, 31364])).
% 51.55/34.09 tff(31367,plain,
% 51.55/34.09 (~v163(constB49)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31366, 13421, 31363])).
% 51.55/34.09 tff(31368,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB49) | v164(constB49) | (~v160(constB49)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB49) | v164(constB49) | (~v160(constB49)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31369,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB49) | v164(constB49) | (~v160(constB49)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31370,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB49) | v164(constB49) | (~v160(constB49))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31369, 31368])).
% 51.55/34.09 tff(31371,plain,
% 51.55/34.09 (v164(constB49) | (~v160(constB49))),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31370, 13754, 31367])).
% 51.55/34.09 tff(31372,plain,
% 51.55/34.09 (~v160(constB49)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31371, 31329])).
% 51.55/34.09 tff(31373,plain,
% 51.55/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31374,plain,
% 51.55/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31375,plain,
% 51.55/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31374, 31373])).
% 51.55/34.09 tff(31376,plain,
% 51.55/34.09 (v160(constB49) | (~v162(constB50))),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31375, 13769, 7138])).
% 51.55/34.09 tff(31377,plain,
% 51.55/34.09 (~v162(constB50)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31376, 31372])).
% 51.55/34.09 tff(31378,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB50) | (~v163(constB50)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB50) | (~v163(constB50)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31379,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB50) | (~v163(constB50)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31380,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB50) | (~v163(constB50))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31379, 31378])).
% 51.55/34.09 tff(31381,plain,
% 51.55/34.09 (~v163(constB50)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31380, 13784, 31377])).
% 51.55/34.09 tff(31382,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB50)) | (~v141(constB50)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB50)) | (~v141(constB50)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31383,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB50)) | (~v141(constB50)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31384,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB50)) | (~v141(constB50))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31383, 31382])).
% 51.55/34.09 tff(31385,plain,
% 51.55/34.09 (~v141(constB50)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31384, 13553, 7164])).
% 51.55/34.09 tff(31386,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB50) | (~v155(constB50)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB50) | (~v155(constB50)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31387,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB50) | (~v155(constB50)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31388,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB50) | (~v155(constB50))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31387, 31386])).
% 51.55/34.09 tff(31389,plain,
% 51.55/34.09 (~v155(constB50)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31388, 13702, 31385])).
% 51.55/34.09 tff(31390,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB50) | (~v164(constB50)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB50) | (~v164(constB50)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31391,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB50) | (~v164(constB50)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31392,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB50) | (~v164(constB50))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31391, 31390])).
% 51.55/34.09 tff(31393,plain,
% 51.55/34.09 (~v164(constB50)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31392, 13806, 31389])).
% 51.55/34.09 tff(31394,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB50) | v164(constB50) | (~v160(constB50)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB50) | v164(constB50) | (~v160(constB50)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31395,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB50) | v164(constB50) | (~v160(constB50)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31396,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB50) | v164(constB50) | (~v160(constB50))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31395, 31394])).
% 51.55/34.09 tff(31397,plain,
% 51.55/34.09 (v163(constB50) | (~v160(constB50))),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31396, 13754, 31393])).
% 51.55/34.09 tff(31398,plain,
% 51.55/34.09 (~v160(constB50)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31397, 31381])).
% 51.55/34.09 tff(31399,plain,
% 51.55/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31400,plain,
% 51.55/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31401,plain,
% 51.55/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31400, 31399])).
% 51.55/34.09 tff(31402,plain,
% 51.55/34.09 (v160(constB50) | (~v162(constB51))),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31401, 13769, 7232])).
% 51.55/34.09 tff(31403,plain,
% 51.55/34.09 (~v162(constB51)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31402, 31398])).
% 51.55/34.09 tff(31404,plain,
% 51.55/34.09 ($false),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31403, 31206])).
% 51.55/34.09 tff(31405,plain,(~(constB51 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.09 tff(31406,assumption,(constB139 = sK0_VarCurr), introduced(assumption)).
% 51.55/34.09 tff(31407,plain,
% 51.55/34.09 (v162(constB139) <=> v162(sK0_VarCurr)),
% 51.55/34.09 inference(monotonicity,[status(thm)],[31406])).
% 51.55/34.09 tff(31408,plain,
% 51.55/34.09 (v162(sK0_VarCurr) <=> v162(constB139)),
% 51.55/34.09 inference(symmetry,[status(thm)],[31407])).
% 51.55/34.09 tff(31409,plain,
% 51.55/34.09 (v162(constB139)),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[13315, 31408])).
% 51.55/34.09 tff(31410,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB133)) | (~v84(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB133)) | (~v84(constB133, bitIndex2)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31411,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB133)) | (~v84(constB133, bitIndex2)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31412,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB133)) | (~v84(constB133, bitIndex2))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31411, 31410])).
% 51.55/34.09 tff(31413,plain,
% 51.55/34.09 (~v145(constB133)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31412, 4483, 16825])).
% 51.55/34.09 tff(31414,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB133) | (~v144(constB133)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB133) | (~v144(constB133)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31415,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB133) | (~v144(constB133)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31416,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB133) | (~v144(constB133))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31415, 31414])).
% 51.55/34.09 tff(31417,plain,
% 51.55/34.09 (~v144(constB133)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31416, 13439, 31413])).
% 51.55/34.09 tff(31418,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB133) | (~v142(constB133)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB133) | (~v142(constB133)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31419,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB133) | (~v142(constB133)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31420,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB133) | (~v142(constB133))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31419, 31418])).
% 51.55/34.09 tff(31421,plain,
% 51.55/34.09 (~v142(constB133)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31420, 13453, 31417])).
% 51.55/34.09 tff(31422,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB133)) | (~v140(constB133)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB133)) | (~v140(constB133)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31423,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB133)) | (~v140(constB133)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31424,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB133)) | (~v140(constB133))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31423, 31422])).
% 51.55/34.09 tff(31425,plain,
% 51.55/34.09 (~v138(constB133)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31424, 13495, 27656])).
% 51.55/34.09 tff(31426,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB133) | v142(constB133) | (~v135(constB133)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB133) | v142(constB133) | (~v135(constB133)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31427,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB133) | v142(constB133) | (~v135(constB133)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31428,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB133) | v142(constB133) | (~v135(constB133))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31427, 31426])).
% 51.55/34.09 tff(31429,plain,
% 51.55/34.09 (v142(constB133) | (~v135(constB133))),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31428, 13509, 31425])).
% 51.55/34.09 tff(31430,plain,
% 51.55/34.09 (~v135(constB133)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31429, 31421])).
% 51.55/34.09 tff(31431,plain,
% 51.55/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31432,plain,
% 51.55/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31433,plain,
% 51.55/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31432, 31431])).
% 51.55/34.09 tff(31434,plain,
% 51.55/34.09 (v135(constB133) | (~v137(constB134))),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31433, 13524, 16931])).
% 51.55/34.09 tff(31435,plain,
% 51.55/34.09 (~v137(constB134)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31434, 31430])).
% 51.55/34.09 tff(31436,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB134) | (~v138(constB134)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB134) | (~v138(constB134)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31437,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB134) | (~v138(constB134)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31438,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB134) | (~v138(constB134))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31437, 31436])).
% 51.55/34.09 tff(31439,plain,
% 51.55/34.09 (~v138(constB134)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31438, 13539, 31435])).
% 51.55/34.09 tff(31440,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB134) | (~v144(constB134)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB134) | (~v144(constB134)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31441,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB134) | (~v144(constB134)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31442,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB134) | (~v144(constB134))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31441, 31440])).
% 51.55/34.09 tff(31443,plain,
% 51.55/34.09 (~v144(constB134)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31442, 13567, 27678])).
% 51.55/34.09 tff(31444,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB134) | (~v142(constB134)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB134) | (~v142(constB134)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31445,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB134) | (~v142(constB134)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31446,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB134) | (~v142(constB134))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31445, 31444])).
% 51.55/34.09 tff(31447,plain,
% 51.55/34.09 (~v142(constB134)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31446, 13453, 31443])).
% 51.55/34.09 tff(31448,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB134) | v142(constB134) | (~v135(constB134)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB134) | v142(constB134) | (~v135(constB134)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31449,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB134) | v142(constB134) | (~v135(constB134)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31450,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB134) | v142(constB134) | (~v135(constB134))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31449, 31448])).
% 51.55/34.09 tff(31451,plain,
% 51.55/34.09 (v138(constB134) | (~v135(constB134))),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31450, 13509, 31447])).
% 51.55/34.09 tff(31452,plain,
% 51.55/34.09 (~v135(constB134)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31451, 31439])).
% 51.55/34.09 tff(31453,plain,
% 51.55/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31454,plain,
% 51.55/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31455,plain,
% 51.55/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31454, 31453])).
% 51.55/34.09 tff(31456,plain,
% 51.55/34.09 (v135(constB134) | (~v137(constB135))),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31455, 13524, 16993])).
% 51.55/34.09 tff(31457,plain,
% 51.55/34.09 (~v137(constB135)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31456, 31452])).
% 51.55/34.09 tff(31458,plain,
% 51.55/34.09 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB135) | (~v154(constB135)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB135) | (~v154(constB135)))),
% 51.55/34.09 inference(rewrite,[status(thm)],[])).
% 51.55/34.09 tff(31459,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB135) | (~v154(constB135)))),
% 51.55/34.09 inference(quant_inst,[status(thm)],[])).
% 51.55/34.09 tff(31460,plain,
% 51.55/34.09 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB135) | (~v154(constB135))),
% 51.55/34.09 inference(modus_ponens,[status(thm)],[31459, 31458])).
% 51.55/34.09 tff(31461,plain,
% 51.55/34.09 (~v154(constB135)),
% 51.55/34.09 inference(unit_resolution,[status(thm)],[31460, 13595, 31457])).
% 51.55/34.10 tff(31462,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB135)) | (~v153(constB135)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB135)) | (~v153(constB135)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31463,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB135)) | (~v153(constB135)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31464,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB135)) | (~v153(constB135))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31463, 31462])).
% 51.55/34.10 tff(31465,plain,
% 51.55/34.10 (~v153(constB135)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31464, 13640, 27734])).
% 51.55/34.10 tff(31466,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB135) | v154(constB135) | (~v150(constB135)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB135) | v154(constB135) | (~v150(constB135)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31467,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB135) | v154(constB135) | (~v150(constB135)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31468,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB135) | v154(constB135) | (~v150(constB135))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31467, 31466])).
% 51.55/34.10 tff(31469,plain,
% 51.55/34.10 (v154(constB135) | (~v150(constB135))),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31468, 13654, 31465])).
% 51.55/34.10 tff(31470,plain,
% 51.55/34.10 (~v150(constB135)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31469, 31461])).
% 51.55/34.10 tff(31471,plain,
% 51.55/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31472,plain,
% 51.55/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31473,plain,
% 51.55/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31472, 31471])).
% 51.55/34.10 tff(31474,plain,
% 51.55/34.10 (v150(constB135) | (~v152(constB136))),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31473, 13669, 17112])).
% 51.55/34.10 tff(31475,plain,
% 51.55/34.10 (~v152(constB136)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31474, 31470])).
% 51.55/34.10 tff(31476,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB136) | (~v153(constB136)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB136) | (~v153(constB136)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31477,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB136) | (~v153(constB136)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31478,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB136) | (~v153(constB136))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31477, 31476])).
% 51.55/34.10 tff(31479,plain,
% 51.55/34.10 (~v153(constB136)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31478, 13684, 31475])).
% 51.55/34.10 tff(31480,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB136) | (~v154(constB136)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB136) | (~v154(constB136)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31481,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB136) | (~v154(constB136)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31482,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB136) | (~v154(constB136))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31481, 31480])).
% 51.55/34.10 tff(31483,plain,
% 51.55/34.10 (~v154(constB136)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31482, 13716, 27760])).
% 51.55/34.10 tff(31484,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB136) | v154(constB136) | (~v150(constB136)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB136) | v154(constB136) | (~v150(constB136)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31485,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB136) | v154(constB136) | (~v150(constB136)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31486,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB136) | v154(constB136) | (~v150(constB136))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31485, 31484])).
% 51.55/34.10 tff(31487,plain,
% 51.55/34.10 (v153(constB136) | (~v150(constB136))),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31486, 13654, 31483])).
% 51.55/34.10 tff(31488,plain,
% 51.55/34.10 (~v150(constB136)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31487, 31479])).
% 51.55/34.10 tff(31489,plain,
% 51.55/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31490,plain,
% 51.55/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31491,plain,
% 51.55/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31490, 31489])).
% 51.55/34.10 tff(31492,plain,
% 51.55/34.10 (v150(constB136) | (~v152(constB137))),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31491, 13669, 17201])).
% 51.55/34.10 tff(31493,plain,
% 51.55/34.10 (~v152(constB137)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31492, 31488])).
% 51.55/34.10 tff(31494,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB137) | (~v164(constB137)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB137) | (~v164(constB137)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31495,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB137) | (~v164(constB137)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31496,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB137) | (~v164(constB137))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31495, 31494])).
% 51.55/34.10 tff(31497,plain,
% 51.55/34.10 (~v164(constB137)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31496, 13740, 31493])).
% 51.55/34.10 tff(31498,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB137) | (~v163(constB137)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB137) | (~v163(constB137)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31499,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB137) | (~v163(constB137)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31500,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB137) | (~v163(constB137))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31499, 31498])).
% 51.55/34.10 tff(31501,plain,
% 51.55/34.10 (~v163(constB137)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31500, 13784, 27774])).
% 51.55/34.10 tff(31502,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB137) | v164(constB137) | (~v160(constB137)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB137) | v164(constB137) | (~v160(constB137)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31503,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB137) | v164(constB137) | (~v160(constB137)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31504,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB137) | v164(constB137) | (~v160(constB137))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31503, 31502])).
% 51.55/34.10 tff(31505,plain,
% 51.55/34.10 (v164(constB137) | (~v160(constB137))),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31504, 13754, 31501])).
% 51.55/34.10 tff(31506,plain,
% 51.55/34.10 (~v160(constB137)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31505, 31497])).
% 51.55/34.10 tff(31507,plain,
% 51.55/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31508,plain,
% 51.55/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31509,plain,
% 51.55/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31508, 31507])).
% 51.55/34.10 tff(31510,plain,
% 51.55/34.10 (v160(constB137) | (~v162(constB138))),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31509, 13769, 17348])).
% 51.55/34.10 tff(31511,plain,
% 51.55/34.10 (~v162(constB138)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31510, 31506])).
% 51.55/34.10 tff(31512,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB138) | (~v163(constB138)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB138) | (~v163(constB138)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31513,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB138) | (~v163(constB138)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31514,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB138) | (~v163(constB138))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31513, 31512])).
% 51.55/34.10 tff(31515,plain,
% 51.55/34.10 (~v163(constB138)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31514, 13784, 31511])).
% 51.55/34.10 tff(31516,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB138)) | (~v141(constB138)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB138)) | (~v141(constB138)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31517,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB138)) | (~v141(constB138)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31518,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB138)) | (~v141(constB138))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31517, 31516])).
% 51.55/34.10 tff(31519,plain,
% 51.55/34.10 (~v141(constB138)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31518, 13553, 17368])).
% 51.55/34.10 tff(31520,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB138) | (~v155(constB138)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB138) | (~v155(constB138)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31521,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB138) | (~v155(constB138)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31522,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB138) | (~v155(constB138))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31521, 31520])).
% 51.55/34.10 tff(31523,plain,
% 51.55/34.10 (~v155(constB138)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31522, 13702, 31519])).
% 51.55/34.10 tff(31524,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB138) | (~v164(constB138)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB138) | (~v164(constB138)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31525,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB138) | (~v164(constB138)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31526,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB138) | (~v164(constB138))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31525, 31524])).
% 51.55/34.10 tff(31527,plain,
% 51.55/34.10 (~v164(constB138)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31526, 13806, 31523])).
% 51.55/34.10 tff(31528,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB138) | v164(constB138) | (~v160(constB138)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB138) | v164(constB138) | (~v160(constB138)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31529,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB138) | v164(constB138) | (~v160(constB138)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31530,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB138) | v164(constB138) | (~v160(constB138))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31529, 31528])).
% 51.55/34.10 tff(31531,plain,
% 51.55/34.10 (v163(constB138) | (~v160(constB138))),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31530, 13754, 31527])).
% 51.55/34.10 tff(31532,plain,
% 51.55/34.10 (~v160(constB138)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31531, 31515])).
% 51.55/34.10 tff(31533,plain,
% 51.55/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31534,plain,
% 51.55/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31535,plain,
% 51.55/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31534, 31533])).
% 51.55/34.10 tff(31536,plain,
% 51.55/34.10 (v160(constB138) | (~v162(constB139))),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31535, 13769, 17418])).
% 51.55/34.10 tff(31537,plain,
% 51.55/34.10 (~v162(constB139)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31536, 31532])).
% 51.55/34.10 tff(31538,plain,
% 51.55/34.10 ($false),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31537, 31409])).
% 51.55/34.10 tff(31539,plain,(~(constB139 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.10 tff(31540,assumption,(constB7 = sK0_VarCurr), introduced(assumption)).
% 51.55/34.10 tff(31541,plain,
% 51.55/34.10 (v162(constB7) <=> v162(sK0_VarCurr)),
% 51.55/34.10 inference(monotonicity,[status(thm)],[31540])).
% 51.55/34.10 tff(31542,plain,
% 51.55/34.10 (v162(sK0_VarCurr) <=> v162(constB7)),
% 51.55/34.10 inference(symmetry,[status(thm)],[31541])).
% 51.55/34.10 tff(31543,plain,
% 51.55/34.10 (v162(constB7)),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[13315, 31542])).
% 51.55/34.10 tff(31544,plain,
% 51.55/34.10 ($false),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[27422, 31543])).
% 51.55/34.10 tff(31545,plain,(~(constB7 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.10 tff(31546,assumption,(constB21 = sK0_VarCurr), introduced(assumption)).
% 51.55/34.10 tff(31547,plain,
% 51.55/34.10 (v162(constB21) <=> v162(sK0_VarCurr)),
% 51.55/34.10 inference(monotonicity,[status(thm)],[31546])).
% 51.55/34.10 tff(31548,plain,
% 51.55/34.10 (v162(sK0_VarCurr) <=> v162(constB21)),
% 51.55/34.10 inference(symmetry,[status(thm)],[31547])).
% 51.55/34.10 tff(31549,plain,
% 51.55/34.10 (v162(constB21)),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[13315, 31548])).
% 51.55/34.10 tff(31550,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB15) | (~v144(constB15)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB15) | (~v144(constB15)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31551,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB15) | (~v144(constB15)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31552,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB15) | (~v144(constB15))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31551, 31550])).
% 51.55/34.10 tff(31553,plain,
% 51.55/34.10 (~v144(constB15)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31552, 13439, 2327])).
% 51.55/34.10 tff(31554,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB15) | (~v142(constB15)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB15) | (~v142(constB15)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31555,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB15) | (~v142(constB15)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31556,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB15) | (~v142(constB15))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31555, 31554])).
% 51.55/34.10 tff(31557,plain,
% 51.55/34.10 (~v142(constB15)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31556, 13453, 31553])).
% 51.55/34.10 tff(31558,assumption,(v18(constB16)), introduced(assumption)).
% 51.55/34.10 tff(31559,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB16))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31560,plain,
% 51.55/34.10 ($false),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31559, 13324, 31558])).
% 51.55/34.10 tff(31561,plain,(~v18(constB16)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.10 tff(31562,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB16) | (~v1(constB16)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB16) | (~v1(constB16)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31563,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB16) | (~v1(constB16)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31564,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB16) | (~v1(constB16))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31563, 31562])).
% 51.55/34.10 tff(31565,plain,
% 51.55/34.10 (v22(constB16)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31564, 13337, 2288])).
% 51.55/34.10 tff(31566,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB16) | (~v22(constB16)) | (~v19(constB16)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB16) | (~v22(constB16)) | (~v19(constB16)))),
% 51.55/34.10 inference(rewrite,[status(thm)],[])).
% 51.55/34.10 tff(31567,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB16) | (~v22(constB16)) | (~v19(constB16)))),
% 51.55/34.10 inference(quant_inst,[status(thm)],[])).
% 51.55/34.10 tff(31568,plain,
% 51.55/34.10 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB16) | (~v22(constB16)) | (~v19(constB16))),
% 51.55/34.10 inference(modus_ponens,[status(thm)],[31567, 31566])).
% 51.55/34.10 tff(31569,plain,
% 51.55/34.10 (v18(constB16) | (~v19(constB16))),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31568, 13351, 31565])).
% 51.55/34.10 tff(31570,plain,
% 51.55/34.10 (~v19(constB16)),
% 51.55/34.10 inference(unit_resolution,[status(thm)],[31569, 31561])).
% 51.55/34.10 tff(31571,plain,
% 51.55/34.10 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB16) | v19(constB16))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB16) | v19(constB16))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31572,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB16) | v19(constB16))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31573,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB16) | v19(constB16)),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31572, 31571])).
% 51.55/34.11 tff(31574,plain,
% 51.55/34.11 (v13(constB16)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31573, 13363, 31570])).
% 51.55/34.11 tff(31575,plain,
% 51.55/34.11 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB15) | (~v13(constB16)) | (~nextState(constB15, constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB15) | (~v13(constB16)) | (~nextState(constB15, constB16)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31576,plain,
% 51.55/34.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB15) | (~v13(constB16)) | (~nextState(constB15, constB16)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31577,plain,
% 51.55/34.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB15) | (~v13(constB16)) | (~nextState(constB15, constB16))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31576, 31575])).
% 51.55/34.11 tff(31578,plain,
% 51.55/34.11 (v9(constB15) | (~v13(constB16))),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31577, 13377, 2268])).
% 51.55/34.11 tff(31579,plain,
% 51.55/34.11 (v9(constB15)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31578, 31574])).
% 51.55/34.11 tff(31580,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB15) | (~v9(constB15)) | v141(constB15))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB15) | (~v9(constB15)) | v141(constB15))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31581,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB15) | (~v9(constB15)) | v141(constB15))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31582,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB15) | (~v9(constB15)) | v141(constB15)),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31581, 31580])).
% 51.55/34.11 tff(31583,plain,
% 51.55/34.11 ((~v9(constB15)) | v141(constB15)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31582, 13392, 2147])).
% 51.55/34.11 tff(31584,plain,
% 51.55/34.11 (v141(constB15)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31583, 31579])).
% 51.55/34.11 tff(31585,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB15)) | v140(constB15))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB15)) | v140(constB15))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31586,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB15)) | v140(constB15))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31587,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB15)) | v140(constB15)),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31586, 31585])).
% 51.55/34.11 tff(31588,plain,
% 51.55/34.11 (v140(constB15)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31587, 13404, 31584])).
% 51.55/34.11 tff(31589,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB15)) | (~v140(constB15)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB15)) | (~v140(constB15)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31590,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB15)) | (~v140(constB15)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31591,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB15)) | (~v140(constB15))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31590, 31589])).
% 51.55/34.11 tff(31592,plain,
% 51.55/34.11 (~v138(constB15)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31591, 13495, 31588])).
% 51.55/34.11 tff(31593,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB15) | v142(constB15) | (~v135(constB15)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB15) | v142(constB15) | (~v135(constB15)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31594,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB15) | v142(constB15) | (~v135(constB15)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31595,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB15) | v142(constB15) | (~v135(constB15))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31594, 31593])).
% 51.55/34.11 tff(31596,plain,
% 51.55/34.11 (v142(constB15) | (~v135(constB15))),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31595, 13509, 31592])).
% 51.55/34.11 tff(31597,plain,
% 51.55/34.11 (~v135(constB15)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31596, 31557])).
% 51.55/34.11 tff(31598,plain,
% 51.55/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB15, constB16)) | v135(constB15) | (~v137(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB15, constB16)) | v135(constB15) | (~v137(constB16)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31599,plain,
% 51.55/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB15, constB16)) | v135(constB15) | (~v137(constB16)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31600,plain,
% 51.55/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB15, constB16)) | v135(constB15) | (~v137(constB16))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31599, 31598])).
% 51.55/34.11 tff(31601,plain,
% 51.55/34.11 (v135(constB15) | (~v137(constB16))),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31600, 13524, 2268])).
% 51.55/34.11 tff(31602,plain,
% 51.55/34.11 (~v137(constB16)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31601, 31597])).
% 51.55/34.11 tff(31603,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB16) | (~v138(constB16)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB16) | (~v138(constB16)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31604,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB16) | (~v138(constB16)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31605,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB16) | (~v138(constB16))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31604, 31603])).
% 51.55/34.11 tff(31606,plain,
% 51.55/34.11 (~v138(constB16)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31605, 13539, 31602])).
% 51.55/34.11 tff(31607,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB16)) | (~v141(constB16)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB16)) | (~v141(constB16)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31608,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB16)) | (~v141(constB16)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31609,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB16)) | (~v141(constB16))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31608, 31607])).
% 51.55/34.11 tff(31610,plain,
% 51.55/34.11 (~v141(constB16)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31609, 13553, 2288])).
% 51.55/34.11 tff(31611,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB16) | (~v144(constB16)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB16) | (~v144(constB16)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31612,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB16) | (~v144(constB16)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31613,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB16) | (~v144(constB16))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31612, 31611])).
% 51.55/34.11 tff(31614,plain,
% 51.55/34.11 (~v144(constB16)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31613, 13567, 31610])).
% 51.55/34.11 tff(31615,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB16) | (~v142(constB16)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB16) | (~v142(constB16)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31616,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB16) | (~v142(constB16)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31617,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB16) | (~v142(constB16))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31616, 31615])).
% 51.55/34.11 tff(31618,plain,
% 51.55/34.11 (~v142(constB16)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31617, 13453, 31614])).
% 51.55/34.11 tff(31619,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB16) | v142(constB16) | (~v135(constB16)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB16) | v142(constB16) | (~v135(constB16)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31620,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB16) | v142(constB16) | (~v135(constB16)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31621,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB16) | v142(constB16) | (~v135(constB16))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31620, 31619])).
% 51.55/34.11 tff(31622,plain,
% 51.55/34.11 (v138(constB16) | (~v135(constB16))),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31621, 13509, 31618])).
% 51.55/34.11 tff(31623,plain,
% 51.55/34.11 (~v135(constB16)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31622, 31606])).
% 51.55/34.11 tff(31624,plain,
% 51.55/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB16, constB17)) | v135(constB16) | (~v137(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB16, constB17)) | v135(constB16) | (~v137(constB17)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31625,plain,
% 51.55/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB16, constB17)) | v135(constB16) | (~v137(constB17)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31626,plain,
% 51.55/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB16, constB17)) | v135(constB16) | (~v137(constB17))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31625, 31624])).
% 51.55/34.11 tff(31627,plain,
% 51.55/34.11 (v135(constB16) | (~v137(constB17))),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31626, 13524, 2370])).
% 51.55/34.11 tff(31628,plain,
% 51.55/34.11 (~v137(constB17)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31627, 31623])).
% 51.55/34.11 tff(31629,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB17) | (~v154(constB17)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB17) | (~v154(constB17)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31630,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB17) | (~v154(constB17)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31631,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB17) | (~v154(constB17))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31630, 31629])).
% 51.55/34.11 tff(31632,plain,
% 51.55/34.11 (~v154(constB17)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31631, 13595, 31628])).
% 51.55/34.11 tff(31633,assumption,(v18(constB18)), introduced(assumption)).
% 51.55/34.11 tff(31634,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB18))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31635,plain,
% 51.55/34.11 ($false),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31634, 13324, 31633])).
% 51.55/34.11 tff(31636,plain,(~v18(constB18)), inference(lemma,lemma(discharge,[]))).
% 51.55/34.11 tff(31637,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31638,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31639,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31638, 31637])).
% 51.55/34.11 tff(31640,plain,
% 51.55/34.11 (v22(constB18)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31639, 13337, 2539])).
% 51.55/34.11 tff(31641,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB18) | (~v22(constB18)) | (~v19(constB18)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB18) | (~v22(constB18)) | (~v19(constB18)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31642,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB18) | (~v22(constB18)) | (~v19(constB18)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31643,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB18) | (~v22(constB18)) | (~v19(constB18))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31642, 31641])).
% 51.55/34.11 tff(31644,plain,
% 51.55/34.11 (v18(constB18) | (~v19(constB18))),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31643, 13351, 31640])).
% 51.55/34.11 tff(31645,plain,
% 51.55/34.11 (~v19(constB18)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31644, 31636])).
% 51.55/34.11 tff(31646,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31647,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31648,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18)),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31647, 31646])).
% 51.55/34.11 tff(31649,plain,
% 51.55/34.11 (v13(constB18)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31648, 13363, 31645])).
% 51.55/34.11 tff(31650,plain,
% 51.55/34.11 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31651,plain,
% 51.55/34.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31652,plain,
% 51.55/34.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31651, 31650])).
% 51.55/34.11 tff(31653,plain,
% 51.55/34.11 (v9(constB17) | (~v13(constB18))),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31652, 13377, 2495])).
% 51.55/34.11 tff(31654,plain,
% 51.55/34.11 (v9(constB17)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31653, 31649])).
% 51.55/34.11 tff(31655,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v141(constB17))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB17) | (~v9(constB17)) | v141(constB17))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31656,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v141(constB17))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31657,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB17) | (~v9(constB17)) | v141(constB17)),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31656, 31655])).
% 51.55/34.11 tff(31658,plain,
% 51.55/34.11 ((~v9(constB17)) | v141(constB17)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31657, 13392, 2367])).
% 51.55/34.11 tff(31659,plain,
% 51.55/34.11 (v141(constB17)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31658, 31654])).
% 51.55/34.11 tff(31660,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB17)) | v140(constB17))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB17)) | v140(constB17))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31661,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB17)) | v140(constB17))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31662,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB17)) | v140(constB17)),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31661, 31660])).
% 51.55/34.11 tff(31663,plain,
% 51.55/34.11 (v140(constB17)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31662, 13404, 31659])).
% 51.55/34.11 tff(31664,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB17)) | (~v153(constB17)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB17)) | (~v153(constB17)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31665,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB17)) | (~v153(constB17)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31666,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB17)) | (~v153(constB17))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31665, 31664])).
% 51.55/34.11 tff(31667,plain,
% 51.55/34.11 (~v153(constB17)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31666, 13640, 31663])).
% 51.55/34.11 tff(31668,plain,
% 51.55/34.11 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB17) | v154(constB17) | (~v150(constB17)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB17) | v154(constB17) | (~v150(constB17)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31669,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB17) | v154(constB17) | (~v150(constB17)))),
% 51.55/34.11 inference(quant_inst,[status(thm)],[])).
% 51.55/34.11 tff(31670,plain,
% 51.55/34.11 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB17) | v154(constB17) | (~v150(constB17))),
% 51.55/34.11 inference(modus_ponens,[status(thm)],[31669, 31668])).
% 51.55/34.11 tff(31671,plain,
% 51.55/34.11 (v154(constB17) | (~v150(constB17))),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31670, 13654, 31667])).
% 51.55/34.11 tff(31672,plain,
% 51.55/34.11 (~v150(constB17)),
% 51.55/34.11 inference(unit_resolution,[status(thm)],[31671, 31632])).
% 51.55/34.11 tff(31673,plain,
% 51.55/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB17, constB18)) | v150(constB17) | (~v152(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB17, constB18)) | v150(constB17) | (~v152(constB18)))),
% 51.55/34.11 inference(rewrite,[status(thm)],[])).
% 51.55/34.11 tff(31674,plain,
% 51.55/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB17, constB18)) | v150(constB17) | (~v152(constB18)))),
% 51.55/34.12 inference(quant_inst,[status(thm)],[])).
% 51.55/34.12 tff(31675,plain,
% 51.55/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB17, constB18)) | v150(constB17) | (~v152(constB18))),
% 51.55/34.12 inference(modus_ponens,[status(thm)],[31674, 31673])).
% 51.55/34.12 tff(31676,plain,
% 51.55/34.12 (v150(constB17) | (~v152(constB18))),
% 51.55/34.12 inference(unit_resolution,[status(thm)],[31675, 13669, 2495])).
% 51.55/34.12 tff(31677,plain,
% 51.55/34.12 (~v152(constB18)),
% 51.55/34.12 inference(unit_resolution,[status(thm)],[31676, 31672])).
% 51.55/34.12 tff(31678,plain,
% 51.55/34.12 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB18) | (~v153(constB18)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB18) | (~v153(constB18)))),
% 51.55/34.12 inference(rewrite,[status(thm)],[])).
% 51.55/34.12 tff(31679,plain,
% 51.55/34.12 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB18) | (~v153(constB18)))),
% 51.55/34.12 inference(quant_inst,[status(thm)],[])).
% 51.55/34.12 tff(31680,plain,
% 51.55/34.12 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB18) | (~v153(constB18))),
% 51.55/34.12 inference(modus_ponens,[status(thm)],[31679, 31678])).
% 51.55/34.12 tff(31681,plain,
% 51.55/34.12 (~v153(constB18)),
% 51.55/34.12 inference(unit_resolution,[status(thm)],[31680, 13684, 31677])).
% 51.55/34.12 tff(31682,plain,
% 51.55/34.12 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB18)) | (~v141(constB18)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB18)) | (~v141(constB18)))),
% 51.55/34.12 inference(rewrite,[status(thm)],[])).
% 51.55/34.12 tff(31683,plain,
% 51.55/34.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB18)) | (~v141(constB18)))),
% 51.55/34.12 inference(quant_inst,[status(thm)],[])).
% 51.55/34.12 tff(31684,plain,
% 51.55/34.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB18)) | (~v141(constB18))),
% 51.55/34.12 inference(modus_ponens,[status(thm)],[31683, 31682])).
% 51.55/34.12 tff(31685,plain,
% 51.55/34.12 (~v141(constB18)),
% 51.55/34.12 inference(unit_resolution,[status(thm)],[31684, 13553, 2539])).
% 51.55/34.12 tff(31686,plain,
% 51.55/34.12 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB18) | (~v155(constB18)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB18) | (~v155(constB18)))),
% 51.55/34.12 inference(rewrite,[status(thm)],[])).
% 51.55/34.12 tff(31687,plain,
% 51.55/34.12 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB18) | (~v155(constB18)))),
% 51.55/34.12 inference(quant_inst,[status(thm)],[])).
% 51.55/34.12 tff(31688,plain,
% 51.55/34.12 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB18) | (~v155(constB18))),
% 51.55/34.12 inference(modus_ponens,[status(thm)],[31687, 31686])).
% 51.55/34.12 tff(31689,plain,
% 51.55/34.12 (~v155(constB18)),
% 51.55/34.12 inference(unit_resolution,[status(thm)],[31688, 13702, 31685])).
% 51.55/34.12 tff(31690,plain,
% 51.55/34.12 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB18) | (~v154(constB18)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB18) | (~v154(constB18)))),
% 51.55/34.12 inference(rewrite,[status(thm)],[])).
% 51.55/34.12 tff(31691,plain,
% 51.55/34.12 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB18) | (~v154(constB18)))),
% 51.55/34.12 inference(quant_inst,[status(thm)],[])).
% 51.55/34.12 tff(31692,plain,
% 51.55/34.12 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB18) | (~v154(constB18))),
% 51.55/34.12 inference(modus_ponens,[status(thm)],[31691, 31690])).
% 51.55/34.12 tff(31693,plain,
% 51.55/34.12 (~v154(constB18)),
% 51.55/34.12 inference(unit_resolution,[status(thm)],[31692, 13716, 31689])).
% 51.55/34.12 tff(31694,plain,
% 51.55/34.12 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB18) | v154(constB18) | (~v150(constB18)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB18) | v154(constB18) | (~v150(constB18)))),
% 51.55/34.12 inference(rewrite,[status(thm)],[])).
% 51.55/34.12 tff(31695,plain,
% 51.55/34.12 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB18) | v154(constB18) | (~v150(constB18)))),
% 51.55/34.12 inference(quant_inst,[status(thm)],[])).
% 51.55/34.12 tff(31696,plain,
% 51.55/34.12 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB18) | v154(constB18) | (~v150(constB18))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31695, 31694])).
% 51.63/34.12 tff(31697,plain,
% 51.63/34.12 (v153(constB18) | (~v150(constB18))),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31696, 13654, 31693])).
% 51.63/34.12 tff(31698,plain,
% 51.63/34.12 (~v150(constB18)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31697, 31681])).
% 51.63/34.12 tff(31699,plain,
% 51.63/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB18, constB19)) | v150(constB18) | (~v152(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB18, constB19)) | v150(constB18) | (~v152(constB19)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31700,plain,
% 51.63/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB18, constB19)) | v150(constB18) | (~v152(constB19)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31701,plain,
% 51.63/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB18, constB19)) | v150(constB18) | (~v152(constB19))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31700, 31699])).
% 51.63/34.12 tff(31702,plain,
% 51.63/34.12 (v150(constB18) | (~v152(constB19))),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31701, 13669, 2662])).
% 51.63/34.12 tff(31703,plain,
% 51.63/34.12 (~v152(constB19)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31702, 31698])).
% 51.63/34.12 tff(31704,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB19) | (~v164(constB19)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB19) | (~v164(constB19)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31705,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB19) | (~v164(constB19)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31706,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB19) | (~v164(constB19))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31705, 31704])).
% 51.63/34.12 tff(31707,plain,
% 51.63/34.12 (~v164(constB19)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31706, 13740, 31703])).
% 51.63/34.12 tff(31708,assumption,(v18(constB20)), introduced(assumption)).
% 51.63/34.12 tff(31709,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB20))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31710,plain,
% 51.63/34.12 ($false),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31709, 13324, 31708])).
% 51.63/34.12 tff(31711,plain,(~v18(constB20)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.12 tff(31712,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31713,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31714,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31713, 31712])).
% 51.63/34.12 tff(31715,plain,
% 51.63/34.12 (v22(constB20)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31714, 13337, 2831])).
% 51.63/34.12 tff(31716,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB20) | (~v22(constB20)) | (~v19(constB20)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB20) | (~v22(constB20)) | (~v19(constB20)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31717,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB20) | (~v22(constB20)) | (~v19(constB20)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31718,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB20) | (~v22(constB20)) | (~v19(constB20))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31717, 31716])).
% 51.63/34.12 tff(31719,plain,
% 51.63/34.12 (v18(constB20) | (~v19(constB20))),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31718, 13351, 31715])).
% 51.63/34.12 tff(31720,plain,
% 51.63/34.12 (~v19(constB20)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31719, 31711])).
% 51.63/34.12 tff(31721,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31722,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31723,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20)),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31722, 31721])).
% 51.63/34.12 tff(31724,plain,
% 51.63/34.12 (v13(constB20)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31723, 13363, 31720])).
% 51.63/34.12 tff(31725,plain,
% 51.63/34.12 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB19) | (~v13(constB20)) | (~nextState(constB19, constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB19) | (~v13(constB20)) | (~nextState(constB19, constB20)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31726,plain,
% 51.63/34.12 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB19) | (~v13(constB20)) | (~nextState(constB19, constB20)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31727,plain,
% 51.63/34.12 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB19) | (~v13(constB20)) | (~nextState(constB19, constB20))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31726, 31725])).
% 51.63/34.12 tff(31728,plain,
% 51.63/34.12 (v9(constB19) | (~v13(constB20))),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31727, 13377, 2811])).
% 51.63/34.12 tff(31729,plain,
% 51.63/34.12 (v9(constB19)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31728, 31724])).
% 51.63/34.12 tff(31730,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v141(constB19))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB19) | (~v9(constB19)) | v141(constB19))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31731,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v141(constB19))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31732,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB19) | (~v9(constB19)) | v141(constB19)),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31731, 31730])).
% 51.63/34.12 tff(31733,plain,
% 51.63/34.12 ((~v9(constB19)) | v141(constB19)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31732, 13392, 2659])).
% 51.63/34.12 tff(31734,plain,
% 51.63/34.12 (v141(constB19)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31733, 31729])).
% 51.63/34.12 tff(31735,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB19)) | v140(constB19))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB19)) | v140(constB19))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31736,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB19)) | v140(constB19))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31737,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB19)) | v140(constB19)),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31736, 31735])).
% 51.63/34.12 tff(31738,plain,
% 51.63/34.12 (v140(constB19)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31737, 13404, 31734])).
% 51.63/34.12 tff(31739,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB19)) | (~v163(constB19)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB19)) | (~v163(constB19)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31740,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB19)) | (~v163(constB19)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31741,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB19)) | (~v163(constB19))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31740, 31739])).
% 51.63/34.12 tff(31742,plain,
% 51.63/34.12 (~v163(constB19)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31741, 13421, 31738])).
% 51.63/34.12 tff(31743,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB19) | v164(constB19) | (~v160(constB19)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB19) | v164(constB19) | (~v160(constB19)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31744,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB19) | v164(constB19) | (~v160(constB19)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31745,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB19) | v164(constB19) | (~v160(constB19))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31744, 31743])).
% 51.63/34.12 tff(31746,plain,
% 51.63/34.12 (v164(constB19) | (~v160(constB19))),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31745, 13754, 31742])).
% 51.63/34.12 tff(31747,plain,
% 51.63/34.12 (~v160(constB19)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31746, 31707])).
% 51.63/34.12 tff(31748,plain,
% 51.63/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB19, constB20)) | v160(constB19) | (~v162(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB19, constB20)) | v160(constB19) | (~v162(constB20)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31749,plain,
% 51.63/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB19, constB20)) | v160(constB19) | (~v162(constB20)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31750,plain,
% 51.63/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB19, constB20)) | v160(constB19) | (~v162(constB20))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31749, 31748])).
% 51.63/34.12 tff(31751,plain,
% 51.63/34.12 (v160(constB19) | (~v162(constB20))),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31750, 13769, 2811])).
% 51.63/34.12 tff(31752,plain,
% 51.63/34.12 (~v162(constB20)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31751, 31747])).
% 51.63/34.12 tff(31753,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB20) | (~v163(constB20)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB20) | (~v163(constB20)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31754,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB20) | (~v163(constB20)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31755,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB20) | (~v163(constB20))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31754, 31753])).
% 51.63/34.12 tff(31756,plain,
% 51.63/34.12 (~v163(constB20)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31755, 13784, 31752])).
% 51.63/34.12 tff(31757,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB20)) | (~v141(constB20)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB20)) | (~v141(constB20)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31758,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB20)) | (~v141(constB20)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31759,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB20)) | (~v141(constB20))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31758, 31757])).
% 51.63/34.12 tff(31760,plain,
% 51.63/34.12 (~v141(constB20)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31759, 13553, 2831])).
% 51.63/34.12 tff(31761,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB20) | (~v155(constB20)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB20) | (~v155(constB20)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31762,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB20) | (~v155(constB20)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31763,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB20) | (~v155(constB20))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31762, 31761])).
% 51.63/34.12 tff(31764,plain,
% 51.63/34.12 (~v155(constB20)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31763, 13702, 31760])).
% 51.63/34.12 tff(31765,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB20) | (~v164(constB20)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB20) | (~v164(constB20)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31766,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB20) | (~v164(constB20)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31767,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB20) | (~v164(constB20))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31766, 31765])).
% 51.63/34.12 tff(31768,plain,
% 51.63/34.12 (~v164(constB20)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31767, 13806, 31764])).
% 51.63/34.12 tff(31769,plain,
% 51.63/34.12 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB20) | v164(constB20) | (~v160(constB20)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB20) | v164(constB20) | (~v160(constB20)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31770,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB20) | v164(constB20) | (~v160(constB20)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31771,plain,
% 51.63/34.12 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB20) | v164(constB20) | (~v160(constB20))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31770, 31769])).
% 51.63/34.12 tff(31772,plain,
% 51.63/34.12 (v163(constB20) | (~v160(constB20))),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31771, 13754, 31768])).
% 51.63/34.12 tff(31773,plain,
% 51.63/34.12 (~v160(constB20)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31772, 31756])).
% 51.63/34.12 tff(31774,plain,
% 51.63/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB20, constB21)) | v160(constB20) | (~v162(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB20, constB21)) | v160(constB20) | (~v162(constB21)))),
% 51.63/34.12 inference(rewrite,[status(thm)],[])).
% 51.63/34.12 tff(31775,plain,
% 51.63/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB20, constB21)) | v160(constB20) | (~v162(constB21)))),
% 51.63/34.12 inference(quant_inst,[status(thm)],[])).
% 51.63/34.12 tff(31776,plain,
% 51.63/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB20, constB21)) | v160(constB20) | (~v162(constB21))),
% 51.63/34.12 inference(modus_ponens,[status(thm)],[31775, 31774])).
% 51.63/34.12 tff(31777,plain,
% 51.63/34.12 (v160(constB20) | (~v162(constB21))),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31776, 13769, 2877])).
% 51.63/34.12 tff(31778,plain,
% 51.63/34.12 (~v162(constB21)),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31777, 31773])).
% 51.63/34.12 tff(31779,plain,
% 51.63/34.12 ($false),
% 51.63/34.12 inference(unit_resolution,[status(thm)],[31778, 31549])).
% 51.63/34.12 tff(31780,plain,(~(constB21 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.12 tff(31781,assumption,(constB141 = sK0_VarCurr), introduced(assumption)).
% 51.63/34.13 tff(31782,plain,
% 51.63/34.13 (v162(constB141) <=> v162(sK0_VarCurr)),
% 51.63/34.13 inference(monotonicity,[status(thm)],[31781])).
% 51.63/34.13 tff(31783,plain,
% 51.63/34.13 (v162(sK0_VarCurr) <=> v162(constB141)),
% 51.63/34.13 inference(symmetry,[status(thm)],[31782])).
% 51.63/34.13 tff(31784,plain,
% 51.63/34.13 (v162(constB141)),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[13315, 31783])).
% 51.63/34.13 tff(31785,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB135) | (~v144(constB135)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB135) | (~v144(constB135)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31786,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB135) | (~v144(constB135)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31787,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB135) | (~v144(constB135))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31786, 31785])).
% 51.63/34.13 tff(31788,plain,
% 51.63/34.13 (~v144(constB135)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31787, 13439, 17170])).
% 51.63/34.13 tff(31789,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB135) | (~v142(constB135)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB135) | (~v142(constB135)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31790,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB135) | (~v142(constB135)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31791,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB135) | (~v142(constB135))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31790, 31789])).
% 51.63/34.13 tff(31792,plain,
% 51.63/34.13 (~v142(constB135)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31791, 13453, 31788])).
% 51.63/34.13 tff(31793,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB135)) | (~v140(constB135)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB135)) | (~v140(constB135)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31794,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB135)) | (~v140(constB135)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31795,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB135)) | (~v140(constB135))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31794, 31793])).
% 51.63/34.13 tff(31796,plain,
% 51.63/34.13 (~v138(constB135)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31795, 13495, 27734])).
% 51.63/34.13 tff(31797,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB135) | v142(constB135) | (~v135(constB135)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB135) | v142(constB135) | (~v135(constB135)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31798,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB135) | v142(constB135) | (~v135(constB135)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31799,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB135) | v142(constB135) | (~v135(constB135))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31798, 31797])).
% 51.63/34.13 tff(31800,plain,
% 51.63/34.13 (v142(constB135) | (~v135(constB135))),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31799, 13509, 31796])).
% 51.63/34.13 tff(31801,plain,
% 51.63/34.13 (~v135(constB135)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31800, 31792])).
% 51.63/34.13 tff(31802,plain,
% 51.63/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB135, constB136)) | v135(constB135) | (~v137(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB135, constB136)) | v135(constB135) | (~v137(constB136)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31803,plain,
% 51.63/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB135, constB136)) | v135(constB135) | (~v137(constB136)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31804,plain,
% 51.63/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB135, constB136)) | v135(constB135) | (~v137(constB136))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31803, 31802])).
% 51.63/34.13 tff(31805,plain,
% 51.63/34.13 (v135(constB135) | (~v137(constB136))),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31804, 13524, 17112])).
% 51.63/34.13 tff(31806,plain,
% 51.63/34.13 (~v137(constB136)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31805, 31801])).
% 51.63/34.13 tff(31807,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB136) | (~v138(constB136)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB136) | (~v138(constB136)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31808,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB136) | (~v138(constB136)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31809,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB136) | (~v138(constB136))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31808, 31807])).
% 51.63/34.13 tff(31810,plain,
% 51.63/34.13 (~v138(constB136)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31809, 13539, 31806])).
% 51.63/34.13 tff(31811,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB136) | (~v144(constB136)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB136) | (~v144(constB136)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31812,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB136) | (~v144(constB136)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31813,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB136) | (~v144(constB136))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31812, 31811])).
% 51.63/34.13 tff(31814,plain,
% 51.63/34.13 (~v144(constB136)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31813, 13567, 27756])).
% 51.63/34.13 tff(31815,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB136) | (~v142(constB136)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB136) | (~v142(constB136)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31816,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB136) | (~v142(constB136)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31817,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB136) | (~v142(constB136))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31816, 31815])).
% 51.63/34.13 tff(31818,plain,
% 51.63/34.13 (~v142(constB136)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31817, 13453, 31814])).
% 51.63/34.13 tff(31819,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB136) | v142(constB136) | (~v135(constB136)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB136) | v142(constB136) | (~v135(constB136)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31820,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB136) | v142(constB136) | (~v135(constB136)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31821,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB136) | v142(constB136) | (~v135(constB136))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31820, 31819])).
% 51.63/34.13 tff(31822,plain,
% 51.63/34.13 (v138(constB136) | (~v135(constB136))),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31821, 13509, 31818])).
% 51.63/34.13 tff(31823,plain,
% 51.63/34.13 (~v135(constB136)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31822, 31810])).
% 51.63/34.13 tff(31824,plain,
% 51.63/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB136, constB137)) | v135(constB136) | (~v137(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB136, constB137)) | v135(constB136) | (~v137(constB137)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31825,plain,
% 51.63/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB136, constB137)) | v135(constB136) | (~v137(constB137)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31826,plain,
% 51.63/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB136, constB137)) | v135(constB136) | (~v137(constB137))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31825, 31824])).
% 51.63/34.13 tff(31827,plain,
% 51.63/34.13 (v135(constB136) | (~v137(constB137))),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31826, 13524, 17201])).
% 51.63/34.13 tff(31828,plain,
% 51.63/34.13 (~v137(constB137)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31827, 31823])).
% 51.63/34.13 tff(31829,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB137) | (~v154(constB137)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB137) | (~v154(constB137)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31830,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB137) | (~v154(constB137)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31831,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB137) | (~v154(constB137))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31830, 31829])).
% 51.63/34.13 tff(31832,plain,
% 51.63/34.13 (~v154(constB137)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31831, 13595, 31828])).
% 51.63/34.13 tff(31833,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB137) | (~v153(constB137)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB137) | (~v153(constB137)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31834,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB137) | (~v153(constB137)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31835,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB137) | (~v153(constB137))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31834, 31833])).
% 51.63/34.13 tff(31836,plain,
% 51.63/34.13 (~v153(constB137)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31835, 13684, 31493])).
% 51.63/34.13 tff(31837,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB137) | v154(constB137) | (~v150(constB137)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB137) | v154(constB137) | (~v150(constB137)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31838,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB137) | v154(constB137) | (~v150(constB137)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31839,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB137) | v154(constB137) | (~v150(constB137))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31838, 31837])).
% 51.63/34.13 tff(31840,plain,
% 51.63/34.13 (v154(constB137) | (~v150(constB137))),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31839, 13654, 31836])).
% 51.63/34.13 tff(31841,plain,
% 51.63/34.13 (~v150(constB137)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31840, 31832])).
% 51.63/34.13 tff(31842,plain,
% 51.63/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB137, constB138)) | v150(constB137) | (~v152(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB137, constB138)) | v150(constB137) | (~v152(constB138)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31843,plain,
% 51.63/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB137, constB138)) | v150(constB137) | (~v152(constB138)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31844,plain,
% 51.63/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB137, constB138)) | v150(constB137) | (~v152(constB138))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31843, 31842])).
% 51.63/34.13 tff(31845,plain,
% 51.63/34.13 (v150(constB137) | (~v152(constB138))),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31844, 13669, 17348])).
% 51.63/34.13 tff(31846,plain,
% 51.63/34.13 (~v152(constB138)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31845, 31841])).
% 51.63/34.13 tff(31847,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB138) | (~v153(constB138)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB138) | (~v153(constB138)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31848,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB138) | (~v153(constB138)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31849,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB138) | (~v153(constB138))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31848, 31847])).
% 51.63/34.13 tff(31850,plain,
% 51.63/34.13 (~v153(constB138)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31849, 13684, 31846])).
% 51.63/34.13 tff(31851,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB138) | (~v154(constB138)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB138) | (~v154(constB138)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31852,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB138) | (~v154(constB138)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31853,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB138) | (~v154(constB138))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31852, 31851])).
% 51.63/34.13 tff(31854,plain,
% 51.63/34.13 (~v154(constB138)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31853, 13716, 31523])).
% 51.63/34.13 tff(31855,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB138) | v154(constB138) | (~v150(constB138)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB138) | v154(constB138) | (~v150(constB138)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31856,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB138) | v154(constB138) | (~v150(constB138)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31857,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB138) | v154(constB138) | (~v150(constB138))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31856, 31855])).
% 51.63/34.13 tff(31858,plain,
% 51.63/34.13 (v153(constB138) | (~v150(constB138))),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31857, 13654, 31854])).
% 51.63/34.13 tff(31859,plain,
% 51.63/34.13 (~v150(constB138)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31858, 31850])).
% 51.63/34.13 tff(31860,plain,
% 51.63/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB138, constB139)) | v150(constB138) | (~v152(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB138, constB139)) | v150(constB138) | (~v152(constB139)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31861,plain,
% 51.63/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB138, constB139)) | v150(constB138) | (~v152(constB139)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31862,plain,
% 51.63/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB138, constB139)) | v150(constB138) | (~v152(constB139))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31861, 31860])).
% 51.63/34.13 tff(31863,plain,
% 51.63/34.13 (v150(constB138) | (~v152(constB139))),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31862, 13669, 17418])).
% 51.63/34.13 tff(31864,plain,
% 51.63/34.13 (~v152(constB139)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31863, 31859])).
% 51.63/34.13 tff(31865,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB139) | (~v164(constB139)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB139) | (~v164(constB139)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31866,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB139) | (~v164(constB139)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31867,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB139) | (~v164(constB139))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31866, 31865])).
% 51.63/34.13 tff(31868,plain,
% 51.63/34.13 (~v164(constB139)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31867, 13740, 31864])).
% 51.63/34.13 tff(31869,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB139)) | (~v163(constB139)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB139)) | (~v163(constB139)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31870,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB139)) | (~v163(constB139)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31871,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB139)) | (~v163(constB139))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31870, 31869])).
% 51.63/34.13 tff(31872,plain,
% 51.63/34.13 (~v163(constB139)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31871, 13421, 25511])).
% 51.63/34.13 tff(31873,plain,
% 51.63/34.13 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB139) | v164(constB139) | (~v160(constB139)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB139) | v164(constB139) | (~v160(constB139)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31874,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB139) | v164(constB139) | (~v160(constB139)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31875,plain,
% 51.63/34.13 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB139) | v164(constB139) | (~v160(constB139))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31874, 31873])).
% 51.63/34.13 tff(31876,plain,
% 51.63/34.13 (v164(constB139) | (~v160(constB139))),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31875, 13754, 31872])).
% 51.63/34.13 tff(31877,plain,
% 51.63/34.13 (~v160(constB139)),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31876, 31868])).
% 51.63/34.13 tff(31878,plain,
% 51.63/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB139, constB140)) | v160(constB139) | (~v162(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB139, constB140)) | v160(constB139) | (~v162(constB140)))),
% 51.63/34.13 inference(rewrite,[status(thm)],[])).
% 51.63/34.13 tff(31879,plain,
% 51.63/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB139, constB140)) | v160(constB139) | (~v162(constB140)))),
% 51.63/34.13 inference(quant_inst,[status(thm)],[])).
% 51.63/34.13 tff(31880,plain,
% 51.63/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB139, constB140)) | v160(constB139) | (~v162(constB140))),
% 51.63/34.13 inference(modus_ponens,[status(thm)],[31879, 31878])).
% 51.63/34.13 tff(31881,plain,
% 51.63/34.13 (v160(constB139) | (~v162(constB140))),
% 51.63/34.13 inference(unit_resolution,[status(thm)],[31880, 13769, 17559])).
% 51.63/34.13 tff(31882,plain,
% 51.63/34.14 (~v162(constB140)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31881, 31877])).
% 51.63/34.14 tff(31883,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB140) | (~v163(constB140)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB140) | (~v163(constB140)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31884,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB140) | (~v163(constB140)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31885,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB140) | (~v163(constB140))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31884, 31883])).
% 51.63/34.14 tff(31886,plain,
% 51.63/34.14 (~v163(constB140)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31885, 13784, 31882])).
% 51.63/34.14 tff(31887,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB140) | (~v155(constB140)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB140) | (~v155(constB140)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31888,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB140) | (~v155(constB140)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31889,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB140) | (~v155(constB140))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31888, 31887])).
% 51.63/34.14 tff(31890,plain,
% 51.63/34.14 (~v155(constB140)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31889, 13702, 25533])).
% 51.63/34.14 tff(31891,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB140) | (~v164(constB140)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB140) | (~v164(constB140)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31892,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB140) | (~v164(constB140)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31893,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB140) | (~v164(constB140))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31892, 31891])).
% 51.63/34.14 tff(31894,plain,
% 51.63/34.14 (~v164(constB140)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31893, 13806, 31890])).
% 51.63/34.14 tff(31895,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB140) | v164(constB140) | (~v160(constB140)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB140) | v164(constB140) | (~v160(constB140)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31896,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB140) | v164(constB140) | (~v160(constB140)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31897,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB140) | v164(constB140) | (~v160(constB140))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31896, 31895])).
% 51.63/34.14 tff(31898,plain,
% 51.63/34.14 (v163(constB140) | (~v160(constB140))),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31897, 13754, 31894])).
% 51.63/34.14 tff(31899,plain,
% 51.63/34.14 (~v160(constB140)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31898, 31886])).
% 51.63/34.14 tff(31900,plain,
% 51.63/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB140, constB141)) | v160(constB140) | (~v162(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB140, constB141)) | v160(constB140) | (~v162(constB141)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31901,plain,
% 51.63/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB140, constB141)) | v160(constB140) | (~v162(constB141)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31902,plain,
% 51.63/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB140, constB141)) | v160(constB140) | (~v162(constB141))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31901, 31900])).
% 51.63/34.14 tff(31903,plain,
% 51.63/34.14 (v160(constB140) | (~v162(constB141))),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31902, 13769, 17621])).
% 51.63/34.14 tff(31904,plain,
% 51.63/34.14 (~v162(constB141)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31903, 31899])).
% 51.63/34.14 tff(31905,plain,
% 51.63/34.14 ($false),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31904, 31784])).
% 51.63/34.14 tff(31906,plain,(~(constB141 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.14 tff(31907,assumption,(constB82 = sK0_VarCurr), introduced(assumption)).
% 51.63/34.14 tff(31908,plain,
% 51.63/34.14 (v1(constB82) <=> v1(sK0_VarCurr)),
% 51.63/34.14 inference(monotonicity,[status(thm)],[31907])).
% 51.63/34.14 tff(31909,plain,
% 51.63/34.14 (v1(sK0_VarCurr) <=> v1(constB82)),
% 51.63/34.14 inference(symmetry,[status(thm)],[31908])).
% 51.63/34.14 tff(31910,plain,
% 51.63/34.14 ((~v1(sK0_VarCurr)) <=> (~v1(constB82))),
% 51.63/34.14 inference(monotonicity,[status(thm)],[31909])).
% 51.63/34.14 tff(31911,plain,
% 51.63/34.14 (~v1(constB82)),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[25725, 31910])).
% 51.63/34.14 tff(31912,plain,
% 51.63/34.14 ($false),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[10806, 31911])).
% 51.63/34.14 tff(31913,plain,(~(constB82 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.14 tff(31914,assumption,(constB126 = sK0_VarCurr), introduced(assumption)).
% 51.63/34.14 tff(31915,plain,
% 51.63/34.14 (v1(constB126) <=> v1(sK0_VarCurr)),
% 51.63/34.14 inference(monotonicity,[status(thm)],[31914])).
% 51.63/34.14 tff(31916,plain,
% 51.63/34.14 (v1(sK0_VarCurr) <=> v1(constB126)),
% 51.63/34.14 inference(symmetry,[status(thm)],[31915])).
% 51.63/34.14 tff(31917,plain,
% 51.63/34.14 ((~v1(sK0_VarCurr)) <=> (~v1(constB126))),
% 51.63/34.14 inference(monotonicity,[status(thm)],[31916])).
% 51.63/34.14 tff(31918,plain,
% 51.63/34.14 (~v1(constB126)),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[25725, 31917])).
% 51.63/34.14 tff(31919,plain,
% 51.63/34.14 ($false),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[16122, 31918])).
% 51.63/34.14 tff(31920,plain,(~(constB126 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.14 tff(31921,assumption,(constB117 = sK0_VarCurr), introduced(assumption)).
% 51.63/34.14 tff(31922,plain,
% 51.63/34.14 (v162(constB117) <=> v162(sK0_VarCurr)),
% 51.63/34.14 inference(monotonicity,[status(thm)],[31921])).
% 51.63/34.14 tff(31923,plain,
% 51.63/34.14 (v162(sK0_VarCurr) <=> v162(constB117)),
% 51.63/34.14 inference(symmetry,[status(thm)],[31922])).
% 51.63/34.14 tff(31924,plain,
% 51.63/34.14 (v162(constB117)),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[13315, 31923])).
% 51.63/34.14 tff(31925,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB111)) | (~v84(constB111, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB111)) | (~v84(constB111, bitIndex1)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31926,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB111)) | (~v84(constB111, bitIndex1)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31927,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB111)) | (~v84(constB111, bitIndex1))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31926, 31925])).
% 51.63/34.14 tff(31928,plain,
% 51.63/34.14 (~v145(constB111)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31927, 1091, 14618])).
% 51.63/34.14 tff(31929,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB111) | (~v144(constB111)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB111) | (~v144(constB111)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31930,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB111) | (~v144(constB111)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31931,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB111) | (~v144(constB111))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31930, 31929])).
% 51.63/34.14 tff(31932,plain,
% 51.63/34.14 (~v144(constB111)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31931, 13439, 31928])).
% 51.63/34.14 tff(31933,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB111) | (~v142(constB111)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB111) | (~v142(constB111)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31934,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB111) | (~v142(constB111)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31935,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB111) | (~v142(constB111))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31934, 31933])).
% 51.63/34.14 tff(31936,plain,
% 51.63/34.14 (~v142(constB111)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31935, 13453, 31932])).
% 51.63/34.14 tff(31937,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB111)) | (~v140(constB111)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB111)) | (~v140(constB111)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31938,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB111)) | (~v140(constB111)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31939,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB111)) | (~v140(constB111))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31938, 31937])).
% 51.63/34.14 tff(31940,plain,
% 51.63/34.14 (~v138(constB111)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31939, 13495, 28170])).
% 51.63/34.14 tff(31941,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB111) | v142(constB111) | (~v135(constB111)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB111) | v142(constB111) | (~v135(constB111)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31942,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB111) | v142(constB111) | (~v135(constB111)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31943,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB111) | v142(constB111) | (~v135(constB111))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31942, 31941])).
% 51.63/34.14 tff(31944,plain,
% 51.63/34.14 (v142(constB111) | (~v135(constB111))),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31943, 13509, 31940])).
% 51.63/34.14 tff(31945,plain,
% 51.63/34.14 (~v135(constB111)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31944, 31936])).
% 51.63/34.14 tff(31946,plain,
% 51.63/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB111, constB112)) | v135(constB111) | (~v137(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB111, constB112)) | v135(constB111) | (~v137(constB112)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31947,plain,
% 51.63/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB111, constB112)) | v135(constB111) | (~v137(constB112)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31948,plain,
% 51.63/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB111, constB112)) | v135(constB111) | (~v137(constB112))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31947, 31946])).
% 51.63/34.14 tff(31949,plain,
% 51.63/34.14 (v135(constB111) | (~v137(constB112))),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31948, 13524, 14691])).
% 51.63/34.14 tff(31950,plain,
% 51.63/34.14 (~v137(constB112)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31949, 31945])).
% 51.63/34.14 tff(31951,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB112) | (~v138(constB112)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB112) | (~v138(constB112)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31952,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB112) | (~v138(constB112)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31953,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB112) | (~v138(constB112))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31952, 31951])).
% 51.63/34.14 tff(31954,plain,
% 51.63/34.14 (~v138(constB112)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31953, 13539, 31950])).
% 51.63/34.14 tff(31955,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB112) | (~v144(constB112)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB112) | (~v144(constB112)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31956,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB112) | (~v144(constB112)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31957,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB112) | (~v144(constB112))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31956, 31955])).
% 51.63/34.14 tff(31958,plain,
% 51.63/34.14 (~v144(constB112)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31957, 13567, 28192])).
% 51.63/34.14 tff(31959,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB112) | (~v142(constB112)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB112) | (~v142(constB112)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31960,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB112) | (~v142(constB112)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31961,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB112) | (~v142(constB112))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31960, 31959])).
% 51.63/34.14 tff(31962,plain,
% 51.63/34.14 (~v142(constB112)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31961, 13453, 31958])).
% 51.63/34.14 tff(31963,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB112) | v142(constB112) | (~v135(constB112)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB112) | v142(constB112) | (~v135(constB112)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31964,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB112) | v142(constB112) | (~v135(constB112)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31965,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB112) | v142(constB112) | (~v135(constB112))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31964, 31963])).
% 51.63/34.14 tff(31966,plain,
% 51.63/34.14 (v138(constB112) | (~v135(constB112))),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31965, 13509, 31962])).
% 51.63/34.14 tff(31967,plain,
% 51.63/34.14 (~v135(constB112)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31966, 31954])).
% 51.63/34.14 tff(31968,plain,
% 51.63/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB112, constB113)) | v135(constB112) | (~v137(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB112, constB113)) | v135(constB112) | (~v137(constB113)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31969,plain,
% 51.63/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB112, constB113)) | v135(constB112) | (~v137(constB113)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31970,plain,
% 51.63/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB112, constB113)) | v135(constB112) | (~v137(constB113))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31969, 31968])).
% 51.63/34.14 tff(31971,plain,
% 51.63/34.14 (v135(constB112) | (~v137(constB113))),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31970, 13524, 14753])).
% 51.63/34.14 tff(31972,plain,
% 51.63/34.14 (~v137(constB113)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31971, 31967])).
% 51.63/34.14 tff(31973,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB113) | (~v154(constB113)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB113) | (~v154(constB113)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31974,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB113) | (~v154(constB113)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31975,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB113) | (~v154(constB113))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31974, 31973])).
% 51.63/34.14 tff(31976,plain,
% 51.63/34.14 (~v154(constB113)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31975, 13595, 31972])).
% 51.63/34.14 tff(31977,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB113)) | (~v153(constB113)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB113)) | (~v153(constB113)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31978,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB113)) | (~v153(constB113)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31979,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB113)) | (~v153(constB113))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31978, 31977])).
% 51.63/34.14 tff(31980,plain,
% 51.63/34.14 (~v153(constB113)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31979, 13640, 28245])).
% 51.63/34.14 tff(31981,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB113) | v154(constB113) | (~v150(constB113)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB113) | v154(constB113) | (~v150(constB113)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31982,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB113) | v154(constB113) | (~v150(constB113)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31983,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB113) | v154(constB113) | (~v150(constB113))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31982, 31981])).
% 51.63/34.14 tff(31984,plain,
% 51.63/34.14 (v154(constB113) | (~v150(constB113))),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31983, 13654, 31980])).
% 51.63/34.14 tff(31985,plain,
% 51.63/34.14 (~v150(constB113)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31984, 31976])).
% 51.63/34.14 tff(31986,plain,
% 51.63/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB113, constB114)) | v150(constB113) | (~v152(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB113, constB114)) | v150(constB113) | (~v152(constB114)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31987,plain,
% 51.63/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB113, constB114)) | v150(constB113) | (~v152(constB114)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31988,plain,
% 51.63/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB113, constB114)) | v150(constB113) | (~v152(constB114))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31987, 31986])).
% 51.63/34.14 tff(31989,plain,
% 51.63/34.14 (v150(constB113) | (~v152(constB114))),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31988, 13669, 14880])).
% 51.63/34.14 tff(31990,plain,
% 51.63/34.14 (~v152(constB114)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31989, 31985])).
% 51.63/34.14 tff(31991,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB114) | (~v153(constB114)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB114) | (~v153(constB114)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31992,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB114) | (~v153(constB114)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31993,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB114) | (~v153(constB114))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31992, 31991])).
% 51.63/34.14 tff(31994,plain,
% 51.63/34.14 (~v153(constB114)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31993, 13684, 31990])).
% 51.63/34.14 tff(31995,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB114) | (~v154(constB114)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB114) | (~v154(constB114)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(31996,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB114) | (~v154(constB114)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(31997,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB114) | (~v154(constB114))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[31996, 31995])).
% 51.63/34.14 tff(31998,plain,
% 51.63/34.14 (~v154(constB114)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[31997, 13716, 28271])).
% 51.63/34.14 tff(31999,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB114) | v154(constB114) | (~v150(constB114)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB114) | v154(constB114) | (~v150(constB114)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(32000,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB114) | v154(constB114) | (~v150(constB114)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(32001,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB114) | v154(constB114) | (~v150(constB114))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[32000, 31999])).
% 51.63/34.14 tff(32002,plain,
% 51.63/34.14 (v153(constB114) | (~v150(constB114))),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[32001, 13654, 31998])).
% 51.63/34.14 tff(32003,plain,
% 51.63/34.14 (~v150(constB114)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[32002, 31994])).
% 51.63/34.14 tff(32004,plain,
% 51.63/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB114, constB115)) | v150(constB114) | (~v152(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB114, constB115)) | v150(constB114) | (~v152(constB115)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(32005,plain,
% 51.63/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB114, constB115)) | v150(constB114) | (~v152(constB115)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(32006,plain,
% 51.63/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB114, constB115)) | v150(constB114) | (~v152(constB115))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[32005, 32004])).
% 51.63/34.14 tff(32007,plain,
% 51.63/34.14 (v150(constB114) | (~v152(constB115))),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[32006, 13669, 14942])).
% 51.63/34.14 tff(32008,plain,
% 51.63/34.14 (~v152(constB115)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[32007, 32003])).
% 51.63/34.14 tff(32009,plain,
% 51.63/34.14 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB115) | (~v164(constB115)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB115) | (~v164(constB115)))),
% 51.63/34.14 inference(rewrite,[status(thm)],[])).
% 51.63/34.14 tff(32010,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB115) | (~v164(constB115)))),
% 51.63/34.14 inference(quant_inst,[status(thm)],[])).
% 51.63/34.14 tff(32011,plain,
% 51.63/34.14 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB115) | (~v164(constB115))),
% 51.63/34.14 inference(modus_ponens,[status(thm)],[32010, 32009])).
% 51.63/34.14 tff(32012,plain,
% 51.63/34.14 (~v164(constB115)),
% 51.63/34.14 inference(unit_resolution,[status(thm)],[32011, 13740, 32008])).
% 51.63/34.15 tff(32013,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB115)) | (~v163(constB115)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB115)) | (~v163(constB115)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32014,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB115)) | (~v163(constB115)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32015,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB115)) | (~v163(constB115))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32014, 32013])).
% 51.63/34.15 tff(32016,plain,
% 51.63/34.15 (~v163(constB115)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32015, 13421, 29133])).
% 51.63/34.15 tff(32017,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB115) | v164(constB115) | (~v160(constB115)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB115) | v164(constB115) | (~v160(constB115)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32018,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB115) | v164(constB115) | (~v160(constB115)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32019,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB115) | v164(constB115) | (~v160(constB115))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32018, 32017])).
% 51.63/34.15 tff(32020,plain,
% 51.63/34.15 (v164(constB115) | (~v160(constB115))),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32019, 13754, 32016])).
% 51.63/34.15 tff(32021,plain,
% 51.63/34.15 (~v160(constB115)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32020, 32012])).
% 51.63/34.15 tff(32022,plain,
% 51.63/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB115, constB116)) | v160(constB115) | (~v162(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB115, constB116)) | v160(constB115) | (~v162(constB116)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32023,plain,
% 51.63/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB115, constB116)) | v160(constB115) | (~v162(constB116)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32024,plain,
% 51.63/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB115, constB116)) | v160(constB115) | (~v162(constB116))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32023, 32022])).
% 51.63/34.15 tff(32025,plain,
% 51.63/34.15 (v160(constB115) | (~v162(constB116))),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32024, 13769, 15061])).
% 51.63/34.15 tff(32026,plain,
% 51.63/34.15 (~v162(constB116)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32025, 32021])).
% 51.63/34.15 tff(32027,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB116) | (~v163(constB116)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB116) | (~v163(constB116)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32028,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB116) | (~v163(constB116)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32029,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB116) | (~v163(constB116))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32028, 32027])).
% 51.63/34.15 tff(32030,plain,
% 51.63/34.15 (~v163(constB116)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32029, 13784, 32026])).
% 51.63/34.15 tff(32031,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB116) | (~v155(constB116)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB116) | (~v155(constB116)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32032,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB116) | (~v155(constB116)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32033,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB116) | (~v155(constB116))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32032, 32031])).
% 51.63/34.15 tff(32034,plain,
% 51.63/34.15 (~v155(constB116)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32033, 13702, 29155])).
% 51.63/34.15 tff(32035,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB116) | (~v164(constB116)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB116) | (~v164(constB116)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32036,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB116) | (~v164(constB116)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32037,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB116) | (~v164(constB116))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32036, 32035])).
% 51.63/34.15 tff(32038,plain,
% 51.63/34.15 (~v164(constB116)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32037, 13806, 32034])).
% 51.63/34.15 tff(32039,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB116) | v164(constB116) | (~v160(constB116)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB116) | v164(constB116) | (~v160(constB116)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32040,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB116) | v164(constB116) | (~v160(constB116)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32041,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB116) | v164(constB116) | (~v160(constB116))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32040, 32039])).
% 51.63/34.15 tff(32042,plain,
% 51.63/34.15 (v163(constB116) | (~v160(constB116))),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32041, 13754, 32038])).
% 51.63/34.15 tff(32043,plain,
% 51.63/34.15 (~v160(constB116)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32042, 32030])).
% 51.63/34.15 tff(32044,plain,
% 51.63/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB116, constB117)) | v160(constB116) | (~v162(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB116, constB117)) | v160(constB116) | (~v162(constB117)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32045,plain,
% 51.63/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB116, constB117)) | v160(constB116) | (~v162(constB117)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32046,plain,
% 51.63/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB116, constB117)) | v160(constB116) | (~v162(constB117))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32045, 32044])).
% 51.63/34.15 tff(32047,plain,
% 51.63/34.15 (v160(constB116) | (~v162(constB117))),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32046, 13769, 15150])).
% 51.63/34.15 tff(32048,plain,
% 51.63/34.15 (~v162(constB117)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32047, 32043])).
% 51.63/34.15 tff(32049,plain,
% 51.63/34.15 ($false),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32048, 31924])).
% 51.63/34.15 tff(32050,plain,(~(constB117 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.15 tff(32051,assumption,(constB191 = sK0_VarCurr), introduced(assumption)).
% 51.63/34.15 tff(32052,plain,
% 51.63/34.15 (v162(constB191) <=> v162(sK0_VarCurr)),
% 51.63/34.15 inference(monotonicity,[status(thm)],[32051])).
% 51.63/34.15 tff(32053,plain,
% 51.63/34.15 (v162(sK0_VarCurr) <=> v162(constB191)),
% 51.63/34.15 inference(symmetry,[status(thm)],[32052])).
% 51.63/34.15 tff(32054,plain,
% 51.63/34.15 (v162(constB191)),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[13315, 32053])).
% 51.63/34.15 tff(32055,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB185) | (~v144(constB185)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB185) | (~v144(constB185)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32056,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB185) | (~v144(constB185)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32057,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB185) | (~v144(constB185))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32056, 32055])).
% 51.63/34.15 tff(32058,plain,
% 51.63/34.15 (~v144(constB185)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32057, 13439, 23877])).
% 51.63/34.15 tff(32059,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB185) | (~v142(constB185)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB185) | (~v142(constB185)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32060,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB185) | (~v142(constB185)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32061,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB185) | (~v142(constB185))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32060, 32059])).
% 51.63/34.15 tff(32062,plain,
% 51.63/34.15 (~v142(constB185)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32061, 13453, 32058])).
% 51.63/34.15 tff(32063,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v141(constB185))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB185) | (~v9(constB185)) | v141(constB185))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32064,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v141(constB185))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32065,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB185) | (~v9(constB185)) | v141(constB185)),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32064, 32063])).
% 51.63/34.15 tff(32066,plain,
% 51.63/34.15 ((~v9(constB185)) | v141(constB185)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32065, 13392, 23476])).
% 51.63/34.15 tff(32067,plain,
% 51.63/34.15 (v141(constB185)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32066, 23604])).
% 51.63/34.15 tff(32068,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB185) | (~v141(constB185)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB185) | (~v141(constB185)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32069,plain,
% 51.63/34.15 (((~v141(constB185)) | v140(constB185)) <=> (v140(constB185) | (~v141(constB185)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32070,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB185)) | v140(constB185))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB185) | (~v141(constB185))))),
% 51.63/34.15 inference(monotonicity,[status(thm)],[32069])).
% 51.63/34.15 tff(32071,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB185)) | v140(constB185))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB185) | (~v141(constB185)))),
% 51.63/34.15 inference(transitivity,[status(thm)],[32070, 32068])).
% 51.63/34.15 tff(32072,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB185)) | v140(constB185))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32073,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB185) | (~v141(constB185))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32072, 32071])).
% 51.63/34.15 tff(32074,plain,
% 51.63/34.15 (v140(constB185)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32073, 13404, 32067])).
% 51.63/34.15 tff(32075,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB185)) | (~v140(constB185)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB185)) | (~v140(constB185)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32076,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB185)) | (~v140(constB185)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32077,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB185)) | (~v140(constB185))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32076, 32075])).
% 51.63/34.15 tff(32078,plain,
% 51.63/34.15 (~v138(constB185)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32077, 13495, 32074])).
% 51.63/34.15 tff(32079,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB185) | v142(constB185) | (~v135(constB185)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB185) | v142(constB185) | (~v135(constB185)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32080,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB185) | v142(constB185) | (~v135(constB185)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32081,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB185) | v142(constB185) | (~v135(constB185))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32080, 32079])).
% 51.63/34.15 tff(32082,plain,
% 51.63/34.15 (v142(constB185) | (~v135(constB185))),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32081, 13509, 32078])).
% 51.63/34.15 tff(32083,plain,
% 51.63/34.15 (~v135(constB185)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32082, 32062])).
% 51.63/34.15 tff(32084,plain,
% 51.63/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32085,plain,
% 51.63/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32086,plain,
% 51.63/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32085, 32084])).
% 51.63/34.15 tff(32087,plain,
% 51.63/34.15 (v135(constB185) | (~v137(constB186))),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32086, 13524, 23599])).
% 51.63/34.15 tff(32088,plain,
% 51.63/34.15 (~v137(constB186)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32087, 32083])).
% 51.63/34.15 tff(32089,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB186) | (~v138(constB186)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB186) | (~v138(constB186)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32090,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB186) | (~v138(constB186)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32091,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB186) | (~v138(constB186))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32090, 32089])).
% 51.63/34.15 tff(32092,plain,
% 51.63/34.15 (~v138(constB186)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32091, 13539, 32088])).
% 51.63/34.15 tff(32093,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB186)) | (~v141(constB186)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB186)) | (~v141(constB186)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32094,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB186)) | (~v141(constB186)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32095,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB186)) | (~v141(constB186))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32094, 32093])).
% 51.63/34.15 tff(32096,plain,
% 51.63/34.15 (~v141(constB186)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32095, 13553, 23583])).
% 51.63/34.15 tff(32097,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB186) | (~v144(constB186)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB186) | (~v144(constB186)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32098,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB186) | (~v144(constB186)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32099,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB186) | (~v144(constB186))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32098, 32097])).
% 51.63/34.15 tff(32100,plain,
% 51.63/34.15 (~v144(constB186)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32099, 13567, 32096])).
% 51.63/34.15 tff(32101,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB186) | (~v142(constB186)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB186) | (~v142(constB186)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32102,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB186) | (~v142(constB186)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32103,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB186) | (~v142(constB186))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32102, 32101])).
% 51.63/34.15 tff(32104,plain,
% 51.63/34.15 (~v142(constB186)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32103, 13453, 32100])).
% 51.63/34.15 tff(32105,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB186) | v142(constB186) | (~v135(constB186)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB186) | v142(constB186) | (~v135(constB186)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32106,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB186) | v142(constB186) | (~v135(constB186)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32107,plain,
% 51.63/34.15 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB186) | v142(constB186) | (~v135(constB186))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32106, 32105])).
% 51.63/34.15 tff(32108,plain,
% 51.63/34.15 (v138(constB186) | (~v135(constB186))),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32107, 13509, 32104])).
% 51.63/34.15 tff(32109,plain,
% 51.63/34.15 (~v135(constB186)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32108, 32092])).
% 51.63/34.15 tff(32110,plain,
% 51.63/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187)))),
% 51.63/34.15 inference(rewrite,[status(thm)],[])).
% 51.63/34.15 tff(32111,plain,
% 51.63/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187)))),
% 51.63/34.15 inference(quant_inst,[status(thm)],[])).
% 51.63/34.15 tff(32112,plain,
% 51.63/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187))),
% 51.63/34.15 inference(modus_ponens,[status(thm)],[32111, 32110])).
% 51.63/34.15 tff(32113,plain,
% 51.63/34.15 (v135(constB186) | (~v137(constB187))),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32112, 13524, 23908])).
% 51.63/34.15 tff(32114,plain,
% 51.63/34.15 (~v137(constB187)),
% 51.63/34.15 inference(unit_resolution,[status(thm)],[32113, 32109])).
% 51.63/34.15 tff(32115,plain,
% 51.63/34.15 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB187) | (~v154(constB187)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB187) | (~v154(constB187)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32116,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB187) | (~v154(constB187)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32117,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB187) | (~v154(constB187))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32116, 32115])).
% 51.63/34.16 tff(32118,plain,
% 51.63/34.16 (~v154(constB187)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32117, 13595, 32114])).
% 51.63/34.16 tff(32119,assumption,(v18(constB188)), introduced(assumption)).
% 51.63/34.16 tff(32120,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB188))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32121,plain,
% 51.63/34.16 ($false),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32120, 13324, 32119])).
% 51.63/34.16 tff(32122,plain,(~v18(constB188)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.16 tff(32123,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32124,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32125,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32124, 32123])).
% 51.63/34.16 tff(32126,plain,
% 51.63/34.16 (v22(constB188)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32125, 13337, 24075])).
% 51.63/34.16 tff(32127,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB188) | (~v22(constB188)) | (~v19(constB188)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB188) | (~v22(constB188)) | (~v19(constB188)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32128,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB188) | (~v22(constB188)) | (~v19(constB188)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32129,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB188) | (~v22(constB188)) | (~v19(constB188))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32128, 32127])).
% 51.63/34.16 tff(32130,plain,
% 51.63/34.16 (v18(constB188) | (~v19(constB188))),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32129, 13351, 32126])).
% 51.63/34.16 tff(32131,plain,
% 51.63/34.16 (~v19(constB188)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32130, 32122])).
% 51.63/34.16 tff(32132,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32133,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32134,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188)),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32133, 32132])).
% 51.63/34.16 tff(32135,plain,
% 51.63/34.16 (v13(constB188)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32134, 13363, 32131])).
% 51.63/34.16 tff(32136,plain,
% 51.63/34.16 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32137,plain,
% 51.63/34.16 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32138,plain,
% 51.63/34.16 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32137, 32136])).
% 51.63/34.16 tff(32139,plain,
% 51.63/34.16 (v9(constB187) | (~v13(constB188))),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32138, 13377, 24055])).
% 51.63/34.16 tff(32140,plain,
% 51.63/34.16 (v9(constB187)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32139, 32135])).
% 51.63/34.16 tff(32141,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB187) | (~v9(constB187)) | v141(constB187))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32142,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v141(constB187))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32143,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB187) | (~v9(constB187)) | v141(constB187)),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32142, 32141])).
% 51.63/34.16 tff(32144,plain,
% 51.63/34.16 ((~v9(constB187)) | v141(constB187)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32143, 13392, 23905])).
% 51.63/34.16 tff(32145,plain,
% 51.63/34.16 (v141(constB187)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32144, 32140])).
% 51.63/34.16 tff(32146,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB187)) | v140(constB187))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB187)) | v140(constB187))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32147,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB187)) | v140(constB187))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32148,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB187)) | v140(constB187)),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32147, 32146])).
% 51.63/34.16 tff(32149,plain,
% 51.63/34.16 (v140(constB187)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32148, 13404, 32145])).
% 51.63/34.16 tff(32150,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB187)) | (~v153(constB187)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB187)) | (~v153(constB187)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32151,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB187)) | (~v153(constB187)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32152,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB187)) | (~v153(constB187))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32151, 32150])).
% 51.63/34.16 tff(32153,plain,
% 51.63/34.16 (~v153(constB187)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32152, 13640, 32149])).
% 51.63/34.16 tff(32154,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB187) | v154(constB187) | (~v150(constB187)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB187) | v154(constB187) | (~v150(constB187)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32155,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB187) | v154(constB187) | (~v150(constB187)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32156,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB187) | v154(constB187) | (~v150(constB187))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32155, 32154])).
% 51.63/34.16 tff(32157,plain,
% 51.63/34.16 (v154(constB187) | (~v150(constB187))),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32156, 13654, 32153])).
% 51.63/34.16 tff(32158,plain,
% 51.63/34.16 (~v150(constB187)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32157, 32118])).
% 51.63/34.16 tff(32159,plain,
% 51.63/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32160,plain,
% 51.63/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32161,plain,
% 51.63/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32160, 32159])).
% 51.63/34.16 tff(32162,plain,
% 51.63/34.16 (v150(constB187) | (~v152(constB188))),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32161, 13669, 24055])).
% 51.63/34.16 tff(32163,plain,
% 51.63/34.16 (~v152(constB188)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32162, 32158])).
% 51.63/34.16 tff(32164,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB188) | (~v153(constB188)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB188) | (~v153(constB188)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32165,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB188) | (~v153(constB188)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32166,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB188) | (~v153(constB188))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32165, 32164])).
% 51.63/34.16 tff(32167,plain,
% 51.63/34.16 (~v153(constB188)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32166, 13684, 32163])).
% 51.63/34.16 tff(32168,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB188)) | (~v141(constB188)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB188)) | (~v141(constB188)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32169,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB188)) | (~v141(constB188)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32170,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB188)) | (~v141(constB188))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32169, 32168])).
% 51.63/34.16 tff(32171,plain,
% 51.63/34.16 (~v141(constB188)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32170, 13553, 24075])).
% 51.63/34.16 tff(32172,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB188) | (~v155(constB188)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB188) | (~v155(constB188)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32173,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB188) | (~v155(constB188)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32174,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB188) | (~v155(constB188))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32173, 32172])).
% 51.63/34.16 tff(32175,plain,
% 51.63/34.16 (~v155(constB188)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32174, 13702, 32171])).
% 51.63/34.16 tff(32176,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB188) | (~v154(constB188)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB188) | (~v154(constB188)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32177,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB188) | (~v154(constB188)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32178,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB188) | (~v154(constB188))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32177, 32176])).
% 51.63/34.16 tff(32179,plain,
% 51.63/34.16 (~v154(constB188)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32178, 13716, 32175])).
% 51.63/34.16 tff(32180,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB188) | v154(constB188) | (~v150(constB188)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB188) | v154(constB188) | (~v150(constB188)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32181,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB188) | v154(constB188) | (~v150(constB188)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32182,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB188) | v154(constB188) | (~v150(constB188))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32181, 32180])).
% 51.63/34.16 tff(32183,plain,
% 51.63/34.16 (v153(constB188) | (~v150(constB188))),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32182, 13654, 32179])).
% 51.63/34.16 tff(32184,plain,
% 51.63/34.16 (~v150(constB188)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32183, 32167])).
% 51.63/34.16 tff(32185,plain,
% 51.63/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32186,plain,
% 51.63/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32187,plain,
% 51.63/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32186, 32185])).
% 51.63/34.16 tff(32188,plain,
% 51.63/34.16 (v150(constB188) | (~v152(constB189))),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32187, 13669, 24117])).
% 51.63/34.16 tff(32189,plain,
% 51.63/34.16 (~v152(constB189)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32188, 32184])).
% 51.63/34.16 tff(32190,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB189) | (~v164(constB189)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB189) | (~v164(constB189)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32191,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB189) | (~v164(constB189)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32192,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB189) | (~v164(constB189))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32191, 32190])).
% 51.63/34.16 tff(32193,plain,
% 51.63/34.16 (~v164(constB189)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32192, 13740, 32189])).
% 51.63/34.16 tff(32194,assumption,(v18(constB190)), introduced(assumption)).
% 51.63/34.16 tff(32195,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB190))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32196,plain,
% 51.63/34.16 ($false),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32195, 13324, 32194])).
% 51.63/34.16 tff(32197,plain,(~v18(constB190)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.16 tff(32198,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32199,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32200,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32199, 32198])).
% 51.63/34.16 tff(32201,plain,
% 51.63/34.16 (v22(constB190)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32200, 13337, 24415])).
% 51.63/34.16 tff(32202,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB190) | (~v22(constB190)) | (~v19(constB190)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB190) | (~v22(constB190)) | (~v19(constB190)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32203,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB190) | (~v22(constB190)) | (~v19(constB190)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32204,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB190) | (~v22(constB190)) | (~v19(constB190))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32203, 32202])).
% 51.63/34.16 tff(32205,plain,
% 51.63/34.16 (v18(constB190) | (~v19(constB190))),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32204, 13351, 32201])).
% 51.63/34.16 tff(32206,plain,
% 51.63/34.16 (~v19(constB190)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32205, 32197])).
% 51.63/34.16 tff(32207,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32208,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32209,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190)),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32208, 32207])).
% 51.63/34.16 tff(32210,plain,
% 51.63/34.16 (v13(constB190)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32209, 13363, 32206])).
% 51.63/34.16 tff(32211,plain,
% 51.63/34.16 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32212,plain,
% 51.63/34.16 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32213,plain,
% 51.63/34.16 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190))),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32212, 32211])).
% 51.63/34.16 tff(32214,plain,
% 51.63/34.16 (v9(constB189) | (~v13(constB190))),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32213, 13377, 24226])).
% 51.63/34.16 tff(32215,plain,
% 51.63/34.16 (v9(constB189)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32214, 32210])).
% 51.63/34.16 tff(32216,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v141(constB189))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB189) | (~v9(constB189)) | v141(constB189))),
% 51.63/34.16 inference(rewrite,[status(thm)],[])).
% 51.63/34.16 tff(32217,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v141(constB189))),
% 51.63/34.16 inference(quant_inst,[status(thm)],[])).
% 51.63/34.16 tff(32218,plain,
% 51.63/34.16 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB189) | (~v9(constB189)) | v141(constB189)),
% 51.63/34.16 inference(modus_ponens,[status(thm)],[32217, 32216])).
% 51.63/34.16 tff(32219,plain,
% 51.63/34.16 ((~v9(constB189)) | v141(constB189)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32218, 13392, 24114])).
% 51.63/34.16 tff(32220,plain,
% 51.63/34.16 (v141(constB189)),
% 51.63/34.16 inference(unit_resolution,[status(thm)],[32219, 32215])).
% 51.63/34.16 tff(32221,plain,
% 51.63/34.16 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB189)) | v140(constB189))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB189)) | v140(constB189))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32222,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB189)) | v140(constB189))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32223,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB189)) | v140(constB189)),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32222, 32221])).
% 51.63/34.17 tff(32224,plain,
% 51.63/34.17 (v140(constB189)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32223, 13404, 32220])).
% 51.63/34.17 tff(32225,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB189)) | (~v163(constB189)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB189)) | (~v163(constB189)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32226,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB189)) | (~v163(constB189)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32227,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB189)) | (~v163(constB189))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32226, 32225])).
% 51.63/34.17 tff(32228,plain,
% 51.63/34.17 (~v163(constB189)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32227, 13421, 32224])).
% 51.63/34.17 tff(32229,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB189) | v164(constB189) | (~v160(constB189)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB189) | v164(constB189) | (~v160(constB189)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32230,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB189) | v164(constB189) | (~v160(constB189)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32231,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB189) | v164(constB189) | (~v160(constB189))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32230, 32229])).
% 51.63/34.17 tff(32232,plain,
% 51.63/34.17 (v164(constB189) | (~v160(constB189))),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32231, 13754, 32228])).
% 51.63/34.17 tff(32233,plain,
% 51.63/34.17 (~v160(constB189)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32232, 32193])).
% 51.63/34.17 tff(32234,plain,
% 51.63/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32235,plain,
% 51.63/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32236,plain,
% 51.63/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32235, 32234])).
% 51.63/34.17 tff(32237,plain,
% 51.63/34.17 (v160(constB189) | (~v162(constB190))),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32236, 13769, 24226])).
% 51.63/34.17 tff(32238,plain,
% 51.63/34.17 (~v162(constB190)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32237, 32233])).
% 51.63/34.17 tff(32239,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB190) | (~v163(constB190)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB190) | (~v163(constB190)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32240,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB190) | (~v163(constB190)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32241,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB190) | (~v163(constB190))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32240, 32239])).
% 51.63/34.17 tff(32242,plain,
% 51.63/34.17 (~v163(constB190)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32241, 13784, 32238])).
% 51.63/34.17 tff(32243,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB190)) | (~v141(constB190)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB190)) | (~v141(constB190)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32244,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB190)) | (~v141(constB190)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32245,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB190)) | (~v141(constB190))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32244, 32243])).
% 51.63/34.17 tff(32246,plain,
% 51.63/34.17 (~v141(constB190)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32245, 13553, 24415])).
% 51.63/34.17 tff(32247,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB190) | (~v155(constB190)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB190) | (~v155(constB190)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32248,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB190) | (~v155(constB190)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32249,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB190) | (~v155(constB190))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32248, 32247])).
% 51.63/34.17 tff(32250,plain,
% 51.63/34.17 (~v155(constB190)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32249, 13702, 32246])).
% 51.63/34.17 tff(32251,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB190) | (~v164(constB190)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB190) | (~v164(constB190)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32252,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB190) | (~v164(constB190)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32253,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB190) | (~v164(constB190))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32252, 32251])).
% 51.63/34.17 tff(32254,plain,
% 51.63/34.17 (~v164(constB190)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32253, 13806, 32250])).
% 51.63/34.17 tff(32255,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB190) | v164(constB190) | (~v160(constB190)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB190) | v164(constB190) | (~v160(constB190)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32256,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB190) | v164(constB190) | (~v160(constB190)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32257,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB190) | v164(constB190) | (~v160(constB190))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32256, 32255])).
% 51.63/34.17 tff(32258,plain,
% 51.63/34.17 (v163(constB190) | (~v160(constB190))),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32257, 13754, 32254])).
% 51.63/34.17 tff(32259,plain,
% 51.63/34.17 (~v160(constB190)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32258, 32242])).
% 51.63/34.17 tff(32260,plain,
% 51.63/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32261,plain,
% 51.63/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32262,plain,
% 51.63/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32261, 32260])).
% 51.63/34.17 tff(32263,plain,
% 51.63/34.17 (v160(constB190) | (~v162(constB191))),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32262, 13769, 24587])).
% 51.63/34.17 tff(32264,plain,
% 51.63/34.17 (~v162(constB191)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32263, 32259])).
% 51.63/34.17 tff(32265,plain,
% 51.63/34.17 ($false),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32264, 32054])).
% 51.63/34.17 tff(32266,plain,(~(constB191 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.17 tff(32267,assumption,(constB96 = sK0_VarCurr), introduced(assumption)).
% 51.63/34.17 tff(32268,plain,
% 51.63/34.17 (v1(constB96) <=> v1(sK0_VarCurr)),
% 51.63/34.17 inference(monotonicity,[status(thm)],[32267])).
% 51.63/34.17 tff(32269,plain,
% 51.63/34.17 (v1(sK0_VarCurr) <=> v1(constB96)),
% 51.63/34.17 inference(symmetry,[status(thm)],[32268])).
% 51.63/34.17 tff(32270,plain,
% 51.63/34.17 ((~v1(sK0_VarCurr)) <=> (~v1(constB96))),
% 51.63/34.17 inference(monotonicity,[status(thm)],[32269])).
% 51.63/34.17 tff(32271,plain,
% 51.63/34.17 (~v1(constB96)),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[25725, 32270])).
% 51.63/34.17 tff(32272,plain,
% 51.63/34.17 ($false),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[12200, 32271])).
% 51.63/34.17 tff(32273,plain,(~(constB96 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.17 tff(32274,assumption,(constB76 = sK0_VarCurr), introduced(assumption)).
% 51.63/34.17 tff(32275,plain,
% 51.63/34.17 (v1(constB76) <=> v1(sK0_VarCurr)),
% 51.63/34.17 inference(monotonicity,[status(thm)],[32274])).
% 51.63/34.17 tff(32276,plain,
% 51.63/34.17 (v1(sK0_VarCurr) <=> v1(constB76)),
% 51.63/34.17 inference(symmetry,[status(thm)],[32275])).
% 51.63/34.17 tff(32277,plain,
% 51.63/34.17 ((~v1(sK0_VarCurr)) <=> (~v1(constB76))),
% 51.63/34.17 inference(monotonicity,[status(thm)],[32276])).
% 51.63/34.17 tff(32278,plain,
% 51.63/34.17 (~v1(constB76)),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[25725, 32277])).
% 51.63/34.17 tff(32279,plain,
% 51.63/34.17 ($false),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[10014, 32278])).
% 51.63/34.17 tff(32280,plain,(~(constB76 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.17 tff(32281,assumption,(constB185 = sK0_VarCurr), introduced(assumption)).
% 51.63/34.17 tff(32282,plain,
% 51.63/34.17 (v162(constB185) <=> v162(sK0_VarCurr)),
% 51.63/34.17 inference(monotonicity,[status(thm)],[32281])).
% 51.63/34.17 tff(32283,plain,
% 51.63/34.17 (v162(sK0_VarCurr) <=> v162(constB185)),
% 51.63/34.17 inference(symmetry,[status(thm)],[32282])).
% 51.63/34.17 tff(32284,plain,
% 51.63/34.17 (v162(constB185)),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[13315, 32283])).
% 51.63/34.17 tff(32285,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB179)) | (~v84(constB179, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB179)) | (~v84(constB179, bitIndex1)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32286,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB179)) | (~v84(constB179, bitIndex1)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32287,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB179)) | (~v84(constB179, bitIndex1))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32286, 32285])).
% 51.63/34.17 tff(32288,plain,
% 51.63/34.17 (~v145(constB179)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32287, 1091, 22567])).
% 51.63/34.17 tff(32289,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB179) | (~v144(constB179)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB179) | (~v144(constB179)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32290,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB179) | (~v144(constB179)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32291,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB179) | (~v144(constB179))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32290, 32289])).
% 51.63/34.17 tff(32292,plain,
% 51.63/34.17 (~v144(constB179)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32291, 13439, 32288])).
% 51.63/34.17 tff(32293,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB179) | (~v142(constB179)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB179) | (~v142(constB179)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32294,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB179) | (~v142(constB179)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32295,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB179) | (~v142(constB179))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32294, 32293])).
% 51.63/34.17 tff(32296,plain,
% 51.63/34.17 (~v142(constB179)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32295, 13453, 32292])).
% 51.63/34.17 tff(32297,assumption,(v18(constB180)), introduced(assumption)).
% 51.63/34.17 tff(32298,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB180))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32299,plain,
% 51.63/34.17 ($false),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32298, 13324, 32297])).
% 51.63/34.17 tff(32300,plain,(~v18(constB180)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.17 tff(32301,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32302,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32303,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32302, 32301])).
% 51.63/34.17 tff(32304,plain,
% 51.63/34.17 (v22(constB180)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32303, 13337, 22679])).
% 51.63/34.17 tff(32305,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB180) | (~v22(constB180)) | (~v19(constB180)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB180) | (~v22(constB180)) | (~v19(constB180)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32306,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB180) | (~v22(constB180)) | (~v19(constB180)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32307,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB180) | (~v22(constB180)) | (~v19(constB180))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32306, 32305])).
% 51.63/34.17 tff(32308,plain,
% 51.63/34.17 (v18(constB180) | (~v19(constB180))),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32307, 13351, 32304])).
% 51.63/34.17 tff(32309,plain,
% 51.63/34.17 (~v19(constB180)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32308, 32300])).
% 51.63/34.17 tff(32310,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32311,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32312,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180)),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32311, 32310])).
% 51.63/34.17 tff(32313,plain,
% 51.63/34.17 (v13(constB180)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32312, 13363, 32309])).
% 51.63/34.17 tff(32314,plain,
% 51.63/34.17 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB179) | (~v13(constB180)) | (~nextState(constB179, constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB179) | (~v13(constB180)) | (~nextState(constB179, constB180)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32315,plain,
% 51.63/34.17 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB179) | (~v13(constB180)) | (~nextState(constB179, constB180)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32316,plain,
% 51.63/34.17 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB179) | (~v13(constB180)) | (~nextState(constB179, constB180))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32315, 32314])).
% 51.63/34.17 tff(32317,plain,
% 51.63/34.17 (v9(constB179) | (~v13(constB180))),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32316, 13377, 22659])).
% 51.63/34.17 tff(32318,plain,
% 51.63/34.17 (v9(constB179)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32317, 32313])).
% 51.63/34.17 tff(32319,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v141(constB179))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB179) | (~v9(constB179)) | v141(constB179))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32320,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v141(constB179))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32321,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB179) | (~v9(constB179)) | v141(constB179)),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32320, 32319])).
% 51.63/34.17 tff(32322,plain,
% 51.63/34.17 ((~v9(constB179)) | v141(constB179)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32321, 13392, 22512])).
% 51.63/34.17 tff(32323,plain,
% 51.63/34.17 (v141(constB179)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32322, 32318])).
% 51.63/34.17 tff(32324,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB179) | (~v141(constB179)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB179) | (~v141(constB179)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32325,plain,
% 51.63/34.17 (((~v141(constB179)) | v140(constB179)) <=> (v140(constB179) | (~v141(constB179)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32326,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB179)) | v140(constB179))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB179) | (~v141(constB179))))),
% 51.63/34.17 inference(monotonicity,[status(thm)],[32325])).
% 51.63/34.17 tff(32327,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB179)) | v140(constB179))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB179) | (~v141(constB179)))),
% 51.63/34.17 inference(transitivity,[status(thm)],[32326, 32324])).
% 51.63/34.17 tff(32328,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB179)) | v140(constB179))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32329,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB179) | (~v141(constB179))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32328, 32327])).
% 51.63/34.17 tff(32330,plain,
% 51.63/34.17 (v140(constB179)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32329, 13404, 32323])).
% 51.63/34.17 tff(32331,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB179)) | (~v140(constB179)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB179)) | (~v140(constB179)))),
% 51.63/34.17 inference(rewrite,[status(thm)],[])).
% 51.63/34.17 tff(32332,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB179)) | (~v140(constB179)))),
% 51.63/34.17 inference(quant_inst,[status(thm)],[])).
% 51.63/34.17 tff(32333,plain,
% 51.63/34.17 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB179)) | (~v140(constB179))),
% 51.63/34.17 inference(modus_ponens,[status(thm)],[32332, 32331])).
% 51.63/34.17 tff(32334,plain,
% 51.63/34.17 (~v138(constB179)),
% 51.63/34.17 inference(unit_resolution,[status(thm)],[32333, 13495, 32330])).
% 51.63/34.17 tff(32335,plain,
% 51.63/34.17 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB179) | v142(constB179) | (~v135(constB179)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB179) | v142(constB179) | (~v135(constB179)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32336,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB179) | v142(constB179) | (~v135(constB179)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32337,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB179) | v142(constB179) | (~v135(constB179))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32336, 32335])).
% 51.63/34.18 tff(32338,plain,
% 51.63/34.18 (v142(constB179) | (~v135(constB179))),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32337, 13509, 32334])).
% 51.63/34.18 tff(32339,plain,
% 51.63/34.18 (~v135(constB179)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32338, 32296])).
% 51.63/34.18 tff(32340,plain,
% 51.63/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32341,plain,
% 51.63/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32342,plain,
% 51.63/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32341, 32340])).
% 51.63/34.18 tff(32343,plain,
% 51.63/34.18 (v135(constB179) | (~v137(constB180))),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32342, 13524, 22659])).
% 51.63/34.18 tff(32344,plain,
% 51.63/34.18 (~v137(constB180)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32343, 32339])).
% 51.63/34.18 tff(32345,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB180) | (~v138(constB180)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB180) | (~v138(constB180)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32346,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB180) | (~v138(constB180)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32347,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB180) | (~v138(constB180))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32346, 32345])).
% 51.63/34.18 tff(32348,plain,
% 51.63/34.18 (~v138(constB180)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32347, 13539, 32344])).
% 51.63/34.18 tff(32349,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB180)) | (~v141(constB180)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB180)) | (~v141(constB180)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32350,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB180)) | (~v141(constB180)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32351,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB180)) | (~v141(constB180))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32350, 32349])).
% 51.63/34.18 tff(32352,plain,
% 51.63/34.18 (~v141(constB180)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32351, 13553, 22679])).
% 51.63/34.18 tff(32353,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB180) | (~v144(constB180)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB180) | (~v144(constB180)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32354,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB180) | (~v144(constB180)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32355,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB180) | (~v144(constB180))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32354, 32353])).
% 51.63/34.18 tff(32356,plain,
% 51.63/34.18 (~v144(constB180)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32355, 13567, 32352])).
% 51.63/34.18 tff(32357,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB180) | (~v142(constB180)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB180) | (~v142(constB180)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32358,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB180) | (~v142(constB180)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32359,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB180) | (~v142(constB180))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32358, 32357])).
% 51.63/34.18 tff(32360,plain,
% 51.63/34.18 (~v142(constB180)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32359, 13453, 32356])).
% 51.63/34.18 tff(32361,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB180) | v142(constB180) | (~v135(constB180)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB180) | v142(constB180) | (~v135(constB180)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32362,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB180) | v142(constB180) | (~v135(constB180)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32363,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB180) | v142(constB180) | (~v135(constB180))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32362, 32361])).
% 51.63/34.18 tff(32364,plain,
% 51.63/34.18 (v138(constB180) | (~v135(constB180))),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32363, 13509, 32360])).
% 51.63/34.18 tff(32365,plain,
% 51.63/34.18 (~v135(constB180)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32364, 32348])).
% 51.63/34.18 tff(32366,plain,
% 51.63/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32367,plain,
% 51.63/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32368,plain,
% 51.63/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32367, 32366])).
% 51.63/34.18 tff(32369,plain,
% 51.63/34.18 (v135(constB180) | (~v137(constB181))),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32368, 13524, 22721])).
% 51.63/34.18 tff(32370,plain,
% 51.63/34.18 (~v137(constB181)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32369, 32365])).
% 51.63/34.18 tff(32371,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB181) | (~v154(constB181)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB181) | (~v154(constB181)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32372,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB181) | (~v154(constB181)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32373,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB181) | (~v154(constB181))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32372, 32371])).
% 51.63/34.18 tff(32374,plain,
% 51.63/34.18 (~v154(constB181)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32373, 13595, 32370])).
% 51.63/34.18 tff(32375,assumption,(v18(constB182)), introduced(assumption)).
% 51.63/34.18 tff(32376,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB182))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32377,plain,
% 51.63/34.18 ($false),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32376, 13324, 32375])).
% 51.63/34.18 tff(32378,plain,(~v18(constB182)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.18 tff(32379,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32380,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32381,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32380, 32379])).
% 51.63/34.18 tff(32382,plain,
% 51.63/34.18 (v22(constB182)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32381, 13337, 22897])).
% 51.63/34.18 tff(32383,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB182) | (~v22(constB182)) | (~v19(constB182)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB182) | (~v22(constB182)) | (~v19(constB182)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32384,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB182) | (~v22(constB182)) | (~v19(constB182)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32385,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB182) | (~v22(constB182)) | (~v19(constB182))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32384, 32383])).
% 51.63/34.18 tff(32386,plain,
% 51.63/34.18 (v18(constB182) | (~v19(constB182))),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32385, 13351, 32382])).
% 51.63/34.18 tff(32387,plain,
% 51.63/34.18 (~v19(constB182)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32386, 32378])).
% 51.63/34.18 tff(32388,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32389,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32390,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182)),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32389, 32388])).
% 51.63/34.18 tff(32391,plain,
% 51.63/34.18 (v13(constB182)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32390, 13363, 32387])).
% 51.63/34.18 tff(32392,plain,
% 51.63/34.18 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32393,plain,
% 51.63/34.18 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32394,plain,
% 51.63/34.18 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32393, 32392])).
% 51.63/34.18 tff(32395,plain,
% 51.63/34.18 (v9(constB181) | (~v13(constB182))),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32394, 13377, 22877])).
% 51.63/34.18 tff(32396,plain,
% 51.63/34.18 (v9(constB181)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32395, 32391])).
% 51.63/34.18 tff(32397,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v141(constB181))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB181) | (~v9(constB181)) | v141(constB181))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32398,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v141(constB181))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32399,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB181) | (~v9(constB181)) | v141(constB181)),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32398, 32397])).
% 51.63/34.18 tff(32400,plain,
% 51.63/34.18 ((~v9(constB181)) | v141(constB181)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32399, 13392, 22718])).
% 51.63/34.18 tff(32401,plain,
% 51.63/34.18 (v141(constB181)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32400, 32396])).
% 51.63/34.18 tff(32402,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB181)) | v140(constB181))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB181)) | v140(constB181))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32403,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB181)) | v140(constB181))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32404,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB181)) | v140(constB181)),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32403, 32402])).
% 51.63/34.18 tff(32405,plain,
% 51.63/34.18 (v140(constB181)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32404, 13404, 32401])).
% 51.63/34.18 tff(32406,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB181)) | (~v153(constB181)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB181)) | (~v153(constB181)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32407,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB181)) | (~v153(constB181)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32408,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB181)) | (~v153(constB181))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32407, 32406])).
% 51.63/34.18 tff(32409,plain,
% 51.63/34.18 (~v153(constB181)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32408, 13640, 32405])).
% 51.63/34.18 tff(32410,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB181) | v154(constB181) | (~v150(constB181)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB181) | v154(constB181) | (~v150(constB181)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32411,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB181) | v154(constB181) | (~v150(constB181)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32412,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB181) | v154(constB181) | (~v150(constB181))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32411, 32410])).
% 51.63/34.18 tff(32413,plain,
% 51.63/34.18 (v154(constB181) | (~v150(constB181))),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32412, 13654, 32409])).
% 51.63/34.18 tff(32414,plain,
% 51.63/34.18 (~v150(constB181)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32413, 32374])).
% 51.63/34.18 tff(32415,plain,
% 51.63/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32416,plain,
% 51.63/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32417,plain,
% 51.63/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32416, 32415])).
% 51.63/34.18 tff(32418,plain,
% 51.63/34.18 (v150(constB181) | (~v152(constB182))),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32417, 13669, 22877])).
% 51.63/34.18 tff(32419,plain,
% 51.63/34.18 (~v152(constB182)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32418, 32414])).
% 51.63/34.18 tff(32420,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB182) | (~v153(constB182)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB182) | (~v153(constB182)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32421,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB182) | (~v153(constB182)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32422,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB182) | (~v153(constB182))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32421, 32420])).
% 51.63/34.18 tff(32423,plain,
% 51.63/34.18 (~v153(constB182)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32422, 13684, 32419])).
% 51.63/34.18 tff(32424,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB182)) | (~v141(constB182)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB182)) | (~v141(constB182)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32425,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB182)) | (~v141(constB182)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32426,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB182)) | (~v141(constB182))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32425, 32424])).
% 51.63/34.18 tff(32427,plain,
% 51.63/34.18 (~v141(constB182)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32426, 13553, 22897])).
% 51.63/34.18 tff(32428,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB182) | (~v155(constB182)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB182) | (~v155(constB182)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32429,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB182) | (~v155(constB182)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32430,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB182) | (~v155(constB182))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32429, 32428])).
% 51.63/34.18 tff(32431,plain,
% 51.63/34.18 (~v155(constB182)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32430, 13702, 32427])).
% 51.63/34.18 tff(32432,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB182) | (~v154(constB182)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB182) | (~v154(constB182)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32433,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB182) | (~v154(constB182)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32434,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB182) | (~v154(constB182))),
% 51.63/34.18 inference(modus_ponens,[status(thm)],[32433, 32432])).
% 51.63/34.18 tff(32435,plain,
% 51.63/34.18 (~v154(constB182)),
% 51.63/34.18 inference(unit_resolution,[status(thm)],[32434, 13716, 32431])).
% 51.63/34.18 tff(32436,plain,
% 51.63/34.18 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB182) | v154(constB182) | (~v150(constB182)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB182) | v154(constB182) | (~v150(constB182)))),
% 51.63/34.18 inference(rewrite,[status(thm)],[])).
% 51.63/34.18 tff(32437,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB182) | v154(constB182) | (~v150(constB182)))),
% 51.63/34.18 inference(quant_inst,[status(thm)],[])).
% 51.63/34.18 tff(32438,plain,
% 51.63/34.18 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB182) | v154(constB182) | (~v150(constB182))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32437, 32436])).
% 51.63/34.19 tff(32439,plain,
% 51.63/34.19 (v153(constB182) | (~v150(constB182))),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32438, 13654, 32435])).
% 51.63/34.19 tff(32440,plain,
% 51.63/34.19 (~v150(constB182)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32439, 32423])).
% 51.63/34.19 tff(32441,plain,
% 51.63/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32442,plain,
% 51.63/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32443,plain,
% 51.63/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32442, 32441])).
% 51.63/34.19 tff(32444,plain,
% 51.63/34.19 (v150(constB182) | (~v152(constB183))),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32443, 13669, 22942])).
% 51.63/34.19 tff(32445,plain,
% 51.63/34.19 (~v152(constB183)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32444, 32440])).
% 51.63/34.19 tff(32446,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB183) | (~v164(constB183)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB183) | (~v164(constB183)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32447,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB183) | (~v164(constB183)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32448,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB183) | (~v164(constB183))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32447, 32446])).
% 51.63/34.19 tff(32449,plain,
% 51.63/34.19 (~v164(constB183)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32448, 13740, 32445])).
% 51.63/34.19 tff(32450,assumption,(v18(constB184)), introduced(assumption)).
% 51.63/34.19 tff(32451,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB184))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32452,plain,
% 51.63/34.19 ($false),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32451, 13324, 32450])).
% 51.63/34.19 tff(32453,plain,(~v18(constB184)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.19 tff(32454,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32455,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32456,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32455, 32454])).
% 51.63/34.19 tff(32457,plain,
% 51.63/34.19 (v22(constB184)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32456, 13337, 23433])).
% 51.63/34.19 tff(32458,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB184) | (~v22(constB184)) | (~v19(constB184)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB184) | (~v22(constB184)) | (~v19(constB184)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32459,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB184) | (~v22(constB184)) | (~v19(constB184)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32460,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB184) | (~v22(constB184)) | (~v19(constB184))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32459, 32458])).
% 51.63/34.19 tff(32461,plain,
% 51.63/34.19 (v18(constB184) | (~v19(constB184))),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32460, 13351, 32457])).
% 51.63/34.19 tff(32462,plain,
% 51.63/34.19 (~v19(constB184)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32461, 32453])).
% 51.63/34.19 tff(32463,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32464,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32465,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184)),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32464, 32463])).
% 51.63/34.19 tff(32466,plain,
% 51.63/34.19 (v13(constB184)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32465, 13363, 32462])).
% 51.63/34.19 tff(32467,plain,
% 51.63/34.19 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB183) | (~v13(constB184)) | (~nextState(constB183, constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB183) | (~v13(constB184)) | (~nextState(constB183, constB184)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32468,plain,
% 51.63/34.19 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB183) | (~v13(constB184)) | (~nextState(constB183, constB184)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32469,plain,
% 51.63/34.19 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB183) | (~v13(constB184)) | (~nextState(constB183, constB184))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32468, 32467])).
% 51.63/34.19 tff(32470,plain,
% 51.63/34.19 (v9(constB183) | (~v13(constB184))),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32469, 13377, 23413])).
% 51.63/34.19 tff(32471,plain,
% 51.63/34.19 (v9(constB183)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32470, 32466])).
% 51.63/34.19 tff(32472,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v141(constB183))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB183) | (~v9(constB183)) | v141(constB183))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32473,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v141(constB183))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32474,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB183) | (~v9(constB183)) | v141(constB183)),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32473, 32472])).
% 51.63/34.19 tff(32475,plain,
% 51.63/34.19 ((~v9(constB183)) | v141(constB183)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32474, 13392, 22939])).
% 51.63/34.19 tff(32476,plain,
% 51.63/34.19 (v141(constB183)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32475, 32471])).
% 51.63/34.19 tff(32477,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB183)) | v140(constB183))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB183)) | v140(constB183))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32478,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB183)) | v140(constB183))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32479,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB183)) | v140(constB183)),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32478, 32477])).
% 51.63/34.19 tff(32480,plain,
% 51.63/34.19 (v140(constB183)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32479, 13404, 32476])).
% 51.63/34.19 tff(32481,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB183)) | (~v163(constB183)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB183)) | (~v163(constB183)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32482,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB183)) | (~v163(constB183)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32483,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB183)) | (~v163(constB183))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32482, 32481])).
% 51.63/34.19 tff(32484,plain,
% 51.63/34.19 (~v163(constB183)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32483, 13421, 32480])).
% 51.63/34.19 tff(32485,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB183) | v164(constB183) | (~v160(constB183)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB183) | v164(constB183) | (~v160(constB183)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32486,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB183) | v164(constB183) | (~v160(constB183)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32487,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB183) | v164(constB183) | (~v160(constB183))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32486, 32485])).
% 51.63/34.19 tff(32488,plain,
% 51.63/34.19 (v164(constB183) | (~v160(constB183))),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32487, 13754, 32484])).
% 51.63/34.19 tff(32489,plain,
% 51.63/34.19 (~v160(constB183)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32488, 32449])).
% 51.63/34.19 tff(32490,plain,
% 51.63/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB183, constB184)) | v160(constB183) | (~v162(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB183, constB184)) | v160(constB183) | (~v162(constB184)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32491,plain,
% 51.63/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB183, constB184)) | v160(constB183) | (~v162(constB184)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32492,plain,
% 51.63/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB183, constB184)) | v160(constB183) | (~v162(constB184))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32491, 32490])).
% 51.63/34.19 tff(32493,plain,
% 51.63/34.19 (v160(constB183) | (~v162(constB184))),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32492, 13769, 23413])).
% 51.63/34.19 tff(32494,plain,
% 51.63/34.19 (~v162(constB184)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32493, 32489])).
% 51.63/34.19 tff(32495,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB184) | (~v163(constB184)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB184) | (~v163(constB184)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32496,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB184) | (~v163(constB184)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32497,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB184) | (~v163(constB184))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32496, 32495])).
% 51.63/34.19 tff(32498,plain,
% 51.63/34.19 (~v163(constB184)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32497, 13784, 32494])).
% 51.63/34.19 tff(32499,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB184)) | (~v141(constB184)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB184)) | (~v141(constB184)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32500,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB184)) | (~v141(constB184)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32501,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB184)) | (~v141(constB184))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32500, 32499])).
% 51.63/34.19 tff(32502,plain,
% 51.63/34.19 (~v141(constB184)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32501, 13553, 23433])).
% 51.63/34.19 tff(32503,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB184) | (~v155(constB184)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB184) | (~v155(constB184)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32504,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB184) | (~v155(constB184)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32505,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB184) | (~v155(constB184))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32504, 32503])).
% 51.63/34.19 tff(32506,plain,
% 51.63/34.19 (~v155(constB184)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32505, 13702, 32502])).
% 51.63/34.19 tff(32507,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB184) | (~v164(constB184)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB184) | (~v164(constB184)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32508,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB184) | (~v164(constB184)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32509,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB184) | (~v164(constB184))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32508, 32507])).
% 51.63/34.19 tff(32510,plain,
% 51.63/34.19 (~v164(constB184)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32509, 13806, 32506])).
% 51.63/34.19 tff(32511,plain,
% 51.63/34.19 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB184) | v164(constB184) | (~v160(constB184)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB184) | v164(constB184) | (~v160(constB184)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32512,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB184) | v164(constB184) | (~v160(constB184)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32513,plain,
% 51.63/34.19 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB184) | v164(constB184) | (~v160(constB184))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32512, 32511])).
% 51.63/34.19 tff(32514,plain,
% 51.63/34.19 (v163(constB184) | (~v160(constB184))),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32513, 13754, 32510])).
% 51.63/34.19 tff(32515,plain,
% 51.63/34.19 (~v160(constB184)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32514, 32498])).
% 51.63/34.19 tff(32516,plain,
% 51.63/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB184, constB185)) | v160(constB184) | (~v162(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB184, constB185)) | v160(constB184) | (~v162(constB185)))),
% 51.63/34.19 inference(rewrite,[status(thm)],[])).
% 51.63/34.19 tff(32517,plain,
% 51.63/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB184, constB185)) | v160(constB184) | (~v162(constB185)))),
% 51.63/34.19 inference(quant_inst,[status(thm)],[])).
% 51.63/34.19 tff(32518,plain,
% 51.63/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB184, constB185)) | v160(constB184) | (~v162(constB185))),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[32517, 32516])).
% 51.63/34.19 tff(32519,plain,
% 51.63/34.19 (v160(constB184) | (~v162(constB185))),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32518, 13769, 23479])).
% 51.63/34.19 tff(32520,plain,
% 51.63/34.19 (~v162(constB185)),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32519, 32515])).
% 51.63/34.19 tff(32521,plain,
% 51.63/34.19 ($false),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[32520, 32284])).
% 51.63/34.19 tff(32522,plain,(~(constB185 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.19 tff(32523,assumption,(constB62 = sK0_VarCurr), introduced(assumption)).
% 51.63/34.19 tff(32524,plain,
% 51.63/34.19 (v1(constB62) <=> v1(sK0_VarCurr)),
% 51.63/34.19 inference(monotonicity,[status(thm)],[32523])).
% 51.63/34.19 tff(32525,plain,
% 51.63/34.19 (v1(sK0_VarCurr) <=> v1(constB62)),
% 51.63/34.19 inference(symmetry,[status(thm)],[32524])).
% 51.63/34.19 tff(32526,plain,
% 51.63/34.19 ((~v1(sK0_VarCurr)) <=> (~v1(constB62))),
% 51.63/34.19 inference(monotonicity,[status(thm)],[32525])).
% 51.63/34.19 tff(32527,plain,
% 51.63/34.19 (~v1(constB62)),
% 51.63/34.19 inference(modus_ponens,[status(thm)],[25725, 32526])).
% 51.63/34.19 tff(32528,plain,
% 51.63/34.19 ($false),
% 51.63/34.19 inference(unit_resolution,[status(thm)],[8368, 32527])).
% 51.63/34.19 tff(32529,plain,(~(constB62 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.63/34.19 tff(32530,assumption,(constB157 = sK0_VarCurr), introduced(assumption)).
% 51.63/34.19 tff(32531,plain,
% 51.63/34.19 (v162(constB157) <=> v162(sK0_VarCurr)),
% 51.63/34.19 inference(monotonicity,[status(thm)],[32530])).
% 51.63/34.19 tff(32532,plain,
% 51.63/34.19 (v162(sK0_VarCurr) <=> v162(constB157)),
% 51.71/34.19 inference(symmetry,[status(thm)],[32531])).
% 51.71/34.19 tff(32533,plain,
% 51.71/34.19 (v162(constB157)),
% 51.71/34.19 inference(modus_ponens,[status(thm)],[13315, 32532])).
% 51.71/34.19 tff(32534,plain,
% 51.71/34.19 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB151)) | (~v84(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB151)) | (~v84(constB151, bitIndex1)))),
% 51.71/34.19 inference(rewrite,[status(thm)],[])).
% 51.71/34.19 tff(32535,plain,
% 51.71/34.19 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB151)) | (~v84(constB151, bitIndex1)))),
% 51.71/34.19 inference(quant_inst,[status(thm)],[])).
% 51.71/34.19 tff(32536,plain,
% 51.71/34.19 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB151)) | (~v84(constB151, bitIndex1))),
% 51.71/34.19 inference(modus_ponens,[status(thm)],[32535, 32534])).
% 51.71/34.19 tff(32537,plain,
% 51.71/34.19 (~v145(constB151)),
% 51.71/34.19 inference(unit_resolution,[status(thm)],[32536, 1091, 19367])).
% 51.71/34.19 tff(32538,plain,
% 51.71/34.19 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB151) | (~v144(constB151)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB151) | (~v144(constB151)))),
% 51.71/34.19 inference(rewrite,[status(thm)],[])).
% 51.71/34.19 tff(32539,plain,
% 51.71/34.19 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB151) | (~v144(constB151)))),
% 51.71/34.19 inference(quant_inst,[status(thm)],[])).
% 51.71/34.19 tff(32540,plain,
% 51.71/34.19 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB151) | (~v144(constB151))),
% 51.71/34.19 inference(modus_ponens,[status(thm)],[32539, 32538])).
% 51.71/34.19 tff(32541,plain,
% 51.71/34.19 (~v144(constB151)),
% 51.71/34.19 inference(unit_resolution,[status(thm)],[32540, 13439, 32537])).
% 51.71/34.19 tff(32542,plain,
% 51.71/34.19 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB151) | (~v142(constB151)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB151) | (~v142(constB151)))),
% 51.71/34.19 inference(rewrite,[status(thm)],[])).
% 51.71/34.19 tff(32543,plain,
% 51.71/34.19 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB151) | (~v142(constB151)))),
% 51.71/34.19 inference(quant_inst,[status(thm)],[])).
% 51.71/34.19 tff(32544,plain,
% 51.71/34.19 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB151) | (~v142(constB151))),
% 51.71/34.19 inference(modus_ponens,[status(thm)],[32543, 32542])).
% 51.71/34.19 tff(32545,plain,
% 51.71/34.19 (~v142(constB151)),
% 51.71/34.19 inference(unit_resolution,[status(thm)],[32544, 13453, 32541])).
% 51.71/34.19 tff(32546,plain,
% 51.71/34.19 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB151)) | (~v140(constB151)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB151)) | (~v140(constB151)))),
% 51.71/34.19 inference(rewrite,[status(thm)],[])).
% 51.71/34.19 tff(32547,plain,
% 51.71/34.19 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB151)) | (~v140(constB151)))),
% 51.71/34.19 inference(quant_inst,[status(thm)],[])).
% 51.71/34.19 tff(32548,plain,
% 51.71/34.19 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB151)) | (~v140(constB151))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32547, 32546])).
% 51.71/34.20 tff(32549,plain,
% 51.71/34.20 (~v138(constB151)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32548, 13495, 23203])).
% 51.71/34.20 tff(32550,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB151) | v142(constB151) | (~v135(constB151)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB151) | v142(constB151) | (~v135(constB151)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32551,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB151) | v142(constB151) | (~v135(constB151)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32552,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB151) | v142(constB151) | (~v135(constB151))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32551, 32550])).
% 51.71/34.20 tff(32553,plain,
% 51.71/34.20 (v142(constB151) | (~v135(constB151))),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32552, 13509, 32549])).
% 51.71/34.20 tff(32554,plain,
% 51.71/34.20 (~v135(constB151)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32553, 32545])).
% 51.71/34.20 tff(32555,plain,
% 51.71/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32556,plain,
% 51.71/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32557,plain,
% 51.71/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32556, 32555])).
% 51.71/34.20 tff(32558,plain,
% 51.71/34.20 (v135(constB151) | (~v137(constB152))),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32557, 13524, 19443])).
% 51.71/34.20 tff(32559,plain,
% 51.71/34.20 (~v137(constB152)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32558, 32554])).
% 51.71/34.20 tff(32560,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB152) | (~v138(constB152)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB152) | (~v138(constB152)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32561,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB152) | (~v138(constB152)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32562,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB152) | (~v138(constB152))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32561, 32560])).
% 51.71/34.20 tff(32563,plain,
% 51.71/34.20 (~v138(constB152)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32562, 13539, 32559])).
% 51.71/34.20 tff(32564,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB152) | (~v144(constB152)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB152) | (~v144(constB152)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32565,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB152) | (~v144(constB152)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32566,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB152) | (~v144(constB152))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32565, 32564])).
% 51.71/34.20 tff(32567,plain,
% 51.71/34.20 (~v144(constB152)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32566, 13567, 23225])).
% 51.71/34.20 tff(32568,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB152) | (~v142(constB152)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB152) | (~v142(constB152)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32569,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB152) | (~v142(constB152)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32570,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB152) | (~v142(constB152))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32569, 32568])).
% 51.71/34.20 tff(32571,plain,
% 51.71/34.20 (~v142(constB152)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32570, 13453, 32567])).
% 51.71/34.20 tff(32572,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB152) | v142(constB152) | (~v135(constB152)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB152) | v142(constB152) | (~v135(constB152)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32573,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB152) | v142(constB152) | (~v135(constB152)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32574,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB152) | v142(constB152) | (~v135(constB152))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32573, 32572])).
% 51.71/34.20 tff(32575,plain,
% 51.71/34.20 (v138(constB152) | (~v135(constB152))),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32574, 13509, 32571])).
% 51.71/34.20 tff(32576,plain,
% 51.71/34.20 (~v135(constB152)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32575, 32563])).
% 51.71/34.20 tff(32577,plain,
% 51.71/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32578,plain,
% 51.71/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32579,plain,
% 51.71/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32578, 32577])).
% 51.71/34.20 tff(32580,plain,
% 51.71/34.20 (v135(constB152) | (~v137(constB153))),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32579, 13524, 19505])).
% 51.71/34.20 tff(32581,plain,
% 51.71/34.20 (~v137(constB153)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32580, 32576])).
% 51.71/34.20 tff(32582,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB153) | (~v154(constB153)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB153) | (~v154(constB153)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32583,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB153) | (~v154(constB153)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32584,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB153) | (~v154(constB153))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32583, 32582])).
% 51.71/34.20 tff(32585,plain,
% 51.71/34.20 (~v154(constB153)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32584, 13595, 32581])).
% 51.71/34.20 tff(32586,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB153)) | (~v153(constB153)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB153)) | (~v153(constB153)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32587,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB153)) | (~v153(constB153)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32588,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB153)) | (~v153(constB153))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32587, 32586])).
% 51.71/34.20 tff(32589,plain,
% 51.71/34.20 (~v153(constB153)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32588, 13640, 23278])).
% 51.71/34.20 tff(32590,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB153) | v154(constB153) | (~v150(constB153)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB153) | v154(constB153) | (~v150(constB153)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32591,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB153) | v154(constB153) | (~v150(constB153)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32592,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB153) | v154(constB153) | (~v150(constB153))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32591, 32590])).
% 51.71/34.20 tff(32593,plain,
% 51.71/34.20 (v154(constB153) | (~v150(constB153))),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32592, 13654, 32589])).
% 51.71/34.20 tff(32594,plain,
% 51.71/34.20 (~v150(constB153)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32593, 32585])).
% 51.71/34.20 tff(32595,plain,
% 51.71/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32596,plain,
% 51.71/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32597,plain,
% 51.71/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32596, 32595])).
% 51.71/34.20 tff(32598,plain,
% 51.71/34.20 (v150(constB153) | (~v152(constB154))),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32597, 13669, 19632])).
% 51.71/34.20 tff(32599,plain,
% 51.71/34.20 (~v152(constB154)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32598, 32594])).
% 51.71/34.20 tff(32600,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB154) | (~v153(constB154)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB154) | (~v153(constB154)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32601,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB154) | (~v153(constB154)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32602,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB154) | (~v153(constB154))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32601, 32600])).
% 51.71/34.20 tff(32603,plain,
% 51.71/34.20 (~v153(constB154)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32602, 13684, 32599])).
% 51.71/34.20 tff(32604,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB154) | (~v154(constB154)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB154) | (~v154(constB154)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32605,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB154) | (~v154(constB154)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32606,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB154) | (~v154(constB154))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32605, 32604])).
% 51.71/34.20 tff(32607,plain,
% 51.71/34.20 (~v154(constB154)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32606, 13716, 23304])).
% 51.71/34.20 tff(32608,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB154) | v154(constB154) | (~v150(constB154)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB154) | v154(constB154) | (~v150(constB154)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32609,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB154) | v154(constB154) | (~v150(constB154)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32610,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB154) | v154(constB154) | (~v150(constB154))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32609, 32608])).
% 51.71/34.20 tff(32611,plain,
% 51.71/34.20 (v153(constB154) | (~v150(constB154))),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32610, 13654, 32607])).
% 51.71/34.20 tff(32612,plain,
% 51.71/34.20 (~v150(constB154)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32611, 32603])).
% 51.71/34.20 tff(32613,plain,
% 51.71/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32614,plain,
% 51.71/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32615,plain,
% 51.71/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32614, 32613])).
% 51.71/34.20 tff(32616,plain,
% 51.71/34.20 (v150(constB154) | (~v152(constB155))),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32615, 13669, 19694])).
% 51.71/34.20 tff(32617,plain,
% 51.71/34.20 (~v152(constB155)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32616, 32612])).
% 51.71/34.20 tff(32618,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB155) | (~v164(constB155)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB155) | (~v164(constB155)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32619,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB155) | (~v164(constB155)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32620,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB155) | (~v164(constB155))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32619, 32618])).
% 51.71/34.20 tff(32621,plain,
% 51.71/34.20 (~v164(constB155)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32620, 13740, 32617])).
% 51.71/34.20 tff(32622,assumption,(v18(constB156)), introduced(assumption)).
% 51.71/34.20 tff(32623,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB156))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32624,plain,
% 51.71/34.20 ($false),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32623, 13324, 32622])).
% 51.71/34.20 tff(32625,plain,(~v18(constB156)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.20 tff(32626,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32627,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32628,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32627, 32626])).
% 51.71/34.20 tff(32629,plain,
% 51.71/34.20 (v22(constB156)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32628, 13337, 19827])).
% 51.71/34.20 tff(32630,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB156) | (~v22(constB156)) | (~v19(constB156)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB156) | (~v22(constB156)) | (~v19(constB156)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32631,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB156) | (~v22(constB156)) | (~v19(constB156)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32632,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB156) | (~v22(constB156)) | (~v19(constB156))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32631, 32630])).
% 51.71/34.20 tff(32633,plain,
% 51.71/34.20 (v18(constB156) | (~v19(constB156))),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32632, 13351, 32629])).
% 51.71/34.20 tff(32634,plain,
% 51.71/34.20 (~v19(constB156)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32633, 32625])).
% 51.71/34.20 tff(32635,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32636,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32637,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156)),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32636, 32635])).
% 51.71/34.20 tff(32638,plain,
% 51.71/34.20 (v13(constB156)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32637, 13363, 32634])).
% 51.71/34.20 tff(32639,plain,
% 51.71/34.20 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB155) | (~v13(constB156)) | (~nextState(constB155, constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB155) | (~v13(constB156)) | (~nextState(constB155, constB156)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32640,plain,
% 51.71/34.20 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB155) | (~v13(constB156)) | (~nextState(constB155, constB156)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32641,plain,
% 51.71/34.20 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB155) | (~v13(constB156)) | (~nextState(constB155, constB156))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32640, 32639])).
% 51.71/34.20 tff(32642,plain,
% 51.71/34.20 (v9(constB155) | (~v13(constB156))),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32641, 13377, 19807])).
% 51.71/34.20 tff(32643,plain,
% 51.71/34.20 (v9(constB155)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32642, 32638])).
% 51.71/34.20 tff(32644,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v141(constB155))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB155) | (~v9(constB155)) | v141(constB155))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32645,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v141(constB155))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32646,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB155) | (~v9(constB155)) | v141(constB155)),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32645, 32644])).
% 51.71/34.20 tff(32647,plain,
% 51.71/34.20 ((~v9(constB155)) | v141(constB155)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32646, 13392, 19691])).
% 51.71/34.20 tff(32648,plain,
% 51.71/34.20 (v141(constB155)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32647, 32643])).
% 51.71/34.20 tff(32649,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB155)) | v140(constB155))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB155)) | v140(constB155))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32650,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB155)) | v140(constB155))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32651,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB155)) | v140(constB155)),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32650, 32649])).
% 51.71/34.20 tff(32652,plain,
% 51.71/34.20 (v140(constB155)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32651, 13404, 32648])).
% 51.71/34.20 tff(32653,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB155)) | (~v163(constB155)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB155)) | (~v163(constB155)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32654,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB155)) | (~v163(constB155)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32655,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB155)) | (~v163(constB155))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32654, 32653])).
% 51.71/34.20 tff(32656,plain,
% 51.71/34.20 (~v163(constB155)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32655, 13421, 32652])).
% 51.71/34.20 tff(32657,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB155) | v164(constB155) | (~v160(constB155)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB155) | v164(constB155) | (~v160(constB155)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32658,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB155) | v164(constB155) | (~v160(constB155)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32659,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB155) | v164(constB155) | (~v160(constB155))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32658, 32657])).
% 51.71/34.20 tff(32660,plain,
% 51.71/34.20 (v164(constB155) | (~v160(constB155))),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32659, 13754, 32656])).
% 51.71/34.20 tff(32661,plain,
% 51.71/34.20 (~v160(constB155)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32660, 32621])).
% 51.71/34.20 tff(32662,plain,
% 51.71/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB155, constB156)) | v160(constB155) | (~v162(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB155, constB156)) | v160(constB155) | (~v162(constB156)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32663,plain,
% 51.71/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB155, constB156)) | v160(constB155) | (~v162(constB156)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32664,plain,
% 51.71/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB155, constB156)) | v160(constB155) | (~v162(constB156))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32663, 32662])).
% 51.71/34.20 tff(32665,plain,
% 51.71/34.20 (v160(constB155) | (~v162(constB156))),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32664, 13769, 19807])).
% 51.71/34.20 tff(32666,plain,
% 51.71/34.20 (~v162(constB156)),
% 51.71/34.20 inference(unit_resolution,[status(thm)],[32665, 32661])).
% 51.71/34.20 tff(32667,plain,
% 51.71/34.20 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB156) | (~v163(constB156)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB156) | (~v163(constB156)))),
% 51.71/34.20 inference(rewrite,[status(thm)],[])).
% 51.71/34.20 tff(32668,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB156) | (~v163(constB156)))),
% 51.71/34.20 inference(quant_inst,[status(thm)],[])).
% 51.71/34.20 tff(32669,plain,
% 51.71/34.20 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB156) | (~v163(constB156))),
% 51.71/34.20 inference(modus_ponens,[status(thm)],[32668, 32667])).
% 51.71/34.20 tff(32670,plain,
% 51.71/34.20 (~v163(constB156)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32669, 13784, 32666])).
% 51.71/34.21 tff(32671,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB156)) | (~v141(constB156)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB156)) | (~v141(constB156)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32672,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB156)) | (~v141(constB156)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32673,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB156)) | (~v141(constB156))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32672, 32671])).
% 51.71/34.21 tff(32674,plain,
% 51.71/34.21 (~v141(constB156)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32673, 13553, 19827])).
% 51.71/34.21 tff(32675,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB156) | (~v155(constB156)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB156) | (~v155(constB156)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32676,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB156) | (~v155(constB156)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32677,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB156) | (~v155(constB156))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32676, 32675])).
% 51.71/34.21 tff(32678,plain,
% 51.71/34.21 (~v155(constB156)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32677, 13702, 32674])).
% 51.71/34.21 tff(32679,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB156) | (~v164(constB156)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB156) | (~v164(constB156)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32680,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB156) | (~v164(constB156)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32681,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB156) | (~v164(constB156))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32680, 32679])).
% 51.71/34.21 tff(32682,plain,
% 51.71/34.21 (~v164(constB156)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32681, 13806, 32678])).
% 51.71/34.21 tff(32683,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB156) | v164(constB156) | (~v160(constB156)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB156) | v164(constB156) | (~v160(constB156)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32684,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB156) | v164(constB156) | (~v160(constB156)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32685,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB156) | v164(constB156) | (~v160(constB156))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32684, 32683])).
% 51.71/34.21 tff(32686,plain,
% 51.71/34.21 (v163(constB156) | (~v160(constB156))),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32685, 13754, 32682])).
% 51.71/34.21 tff(32687,plain,
% 51.71/34.21 (~v160(constB156)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32686, 32670])).
% 51.71/34.21 tff(32688,plain,
% 51.71/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB156, constB157)) | v160(constB156) | (~v162(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB156, constB157)) | v160(constB156) | (~v162(constB157)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32689,plain,
% 51.71/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB156, constB157)) | v160(constB156) | (~v162(constB157)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32690,plain,
% 51.71/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB156, constB157)) | v160(constB156) | (~v162(constB157))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32689, 32688])).
% 51.71/34.21 tff(32691,plain,
% 51.71/34.21 (v160(constB156) | (~v162(constB157))),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32690, 13769, 19896])).
% 51.71/34.21 tff(32692,plain,
% 51.71/34.21 (~v162(constB157)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32691, 32687])).
% 51.71/34.21 tff(32693,plain,
% 51.71/34.21 ($false),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32692, 32533])).
% 51.71/34.21 tff(32694,plain,(~(constB157 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.21 tff(32695,assumption,(constB22 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.21 tff(32696,plain,
% 51.71/34.21 (v1(constB22) <=> v1(sK0_VarCurr)),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32695])).
% 51.71/34.21 tff(32697,plain,
% 51.71/34.21 (v1(sK0_VarCurr) <=> v1(constB22)),
% 51.71/34.21 inference(symmetry,[status(thm)],[32696])).
% 51.71/34.21 tff(32698,plain,
% 51.71/34.21 ((~v1(sK0_VarCurr)) <=> (~v1(constB22))),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32697])).
% 51.71/34.21 tff(32699,plain,
% 51.71/34.21 (~v1(constB22)),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[25725, 32698])).
% 51.71/34.21 tff(32700,plain,
% 51.71/34.21 ($false),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[3863, 32699])).
% 51.71/34.21 tff(32701,plain,(~(constB22 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.21 tff(32702,assumption,(constB74 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.21 tff(32703,plain,
% 51.71/34.21 (v1(constB74) <=> v1(sK0_VarCurr)),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32702])).
% 51.71/34.21 tff(32704,plain,
% 51.71/34.21 (v1(sK0_VarCurr) <=> v1(constB74)),
% 51.71/34.21 inference(symmetry,[status(thm)],[32703])).
% 51.71/34.21 tff(32705,plain,
% 51.71/34.21 ((~v1(sK0_VarCurr)) <=> (~v1(constB74))),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32704])).
% 51.71/34.21 tff(32706,plain,
% 51.71/34.21 (~v1(constB74)),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[25725, 32705])).
% 51.71/34.21 tff(32707,plain,
% 51.71/34.21 ($false),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[9589, 32706])).
% 51.71/34.21 tff(32708,plain,(~(constB74 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.21 tff(32709,assumption,(constB184 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.21 tff(32710,plain,
% 51.71/34.21 (v1(constB184) <=> v1(sK0_VarCurr)),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32709])).
% 51.71/34.21 tff(32711,plain,
% 51.71/34.21 (v1(sK0_VarCurr) <=> v1(constB184)),
% 51.71/34.21 inference(symmetry,[status(thm)],[32710])).
% 51.71/34.21 tff(32712,plain,
% 51.71/34.21 ((~v1(sK0_VarCurr)) <=> (~v1(constB184))),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32711])).
% 51.71/34.21 tff(32713,plain,
% 51.71/34.21 (~v1(constB184)),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[25725, 32712])).
% 51.71/34.21 tff(32714,plain,
% 51.71/34.21 ($false),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[23433, 32713])).
% 51.71/34.21 tff(32715,plain,(~(constB184 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.21 tff(32716,assumption,(constB198 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.21 tff(32717,plain,
% 51.71/34.21 (v1(constB198) <=> v1(sK0_VarCurr)),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32716])).
% 51.71/34.21 tff(32718,plain,
% 51.71/34.21 (v1(sK0_VarCurr) <=> v1(constB198)),
% 51.71/34.21 inference(symmetry,[status(thm)],[32717])).
% 51.71/34.21 tff(32719,plain,
% 51.71/34.21 ((~v1(sK0_VarCurr)) <=> (~v1(constB198))),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32718])).
% 51.71/34.21 tff(32720,plain,
% 51.71/34.21 (~v1(constB198)),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[25725, 32719])).
% 51.71/34.21 tff(32721,plain,
% 51.71/34.21 ($false),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[29939, 32720])).
% 51.71/34.21 tff(32722,plain,(~(constB198 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.21 tff(32723,assumption,(constB2 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.21 tff(32724,plain,
% 51.71/34.21 (v1(constB2) <=> v1(sK0_VarCurr)),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32723])).
% 51.71/34.21 tff(32725,plain,
% 51.71/34.21 (v1(sK0_VarCurr) <=> v1(constB2)),
% 51.71/34.21 inference(symmetry,[status(thm)],[32724])).
% 51.71/34.21 tff(32726,plain,
% 51.71/34.21 ((~v1(sK0_VarCurr)) <=> (~v1(constB2))),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32725])).
% 51.71/34.21 tff(32727,plain,
% 51.71/34.21 (~v1(constB2)),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[25725, 32726])).
% 51.71/34.21 tff(32728,plain,
% 51.71/34.21 ($false),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[445, 32727])).
% 51.71/34.21 tff(32729,plain,(~(constB2 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.21 tff(32730,assumption,(constB38 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.21 tff(32731,plain,
% 51.71/34.21 (v1(constB38) <=> v1(sK0_VarCurr)),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32730])).
% 51.71/34.21 tff(32732,plain,
% 51.71/34.21 (v1(sK0_VarCurr) <=> v1(constB38)),
% 51.71/34.21 inference(symmetry,[status(thm)],[32731])).
% 51.71/34.21 tff(32733,plain,
% 51.71/34.21 ((~v1(sK0_VarCurr)) <=> (~v1(constB38))),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32732])).
% 51.71/34.21 tff(32734,plain,
% 51.71/34.21 (~v1(constB38)),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[25725, 32733])).
% 51.71/34.21 tff(32735,plain,
% 51.71/34.21 ($false),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[5954, 32734])).
% 51.71/34.21 tff(32736,plain,(~(constB38 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.21 tff(32737,assumption,(constB151 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.21 tff(32738,plain,
% 51.71/34.21 (v162(constB151) <=> v162(sK0_VarCurr)),
% 51.71/34.21 inference(monotonicity,[status(thm)],[32737])).
% 51.71/34.21 tff(32739,plain,
% 51.71/34.21 (v162(sK0_VarCurr) <=> v162(constB151)),
% 51.71/34.21 inference(symmetry,[status(thm)],[32738])).
% 51.71/34.21 tff(32740,plain,
% 51.71/34.21 (v162(constB151)),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[13315, 32739])).
% 51.71/34.21 tff(32741,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB145) | (~v144(constB145)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB145) | (~v144(constB145)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32742,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB145) | (~v144(constB145)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32743,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB145) | (~v144(constB145))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32742, 32741])).
% 51.71/34.21 tff(32744,plain,
% 51.71/34.21 (~v144(constB145)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32743, 13439, 18545])).
% 51.71/34.21 tff(32745,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB145) | (~v142(constB145)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32746,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB145) | (~v142(constB145)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32747,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB145) | (~v142(constB145))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32746, 32745])).
% 51.71/34.21 tff(32748,plain,
% 51.71/34.21 (~v142(constB145)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32747, 13453, 32744])).
% 51.71/34.21 tff(32749,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB143) | (~v144(constB143)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB143) | (~v144(constB143)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32750,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB143) | (~v144(constB143)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32751,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB143) | (~v144(constB143))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32750, 32749])).
% 51.71/34.21 tff(32752,plain,
% 51.71/34.21 (~v144(constB143)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32751, 13439, 18020])).
% 51.71/34.21 tff(32753,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB143) | (~v142(constB143)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB143) | (~v142(constB143)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32754,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB143) | (~v142(constB143)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32755,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB143) | (~v142(constB143))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32754, 32753])).
% 51.71/34.21 tff(32756,plain,
% 51.71/34.21 (~v142(constB143)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32755, 13453, 32752])).
% 51.71/34.21 tff(32757,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB143)) | (~v140(constB143)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB143)) | (~v140(constB143)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32758,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB143)) | (~v140(constB143)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32759,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB143)) | (~v140(constB143))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32758, 32757])).
% 51.71/34.21 tff(32760,plain,
% 51.71/34.21 (~v138(constB143)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32759, 13495, 25661])).
% 51.71/34.21 tff(32761,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB143) | v142(constB143) | (~v135(constB143)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB143) | v142(constB143) | (~v135(constB143)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32762,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB143) | v142(constB143) | (~v135(constB143)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32763,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB143) | v142(constB143) | (~v135(constB143))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32762, 32761])).
% 51.71/34.21 tff(32764,plain,
% 51.71/34.21 (v142(constB143) | (~v135(constB143))),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32763, 13509, 32760])).
% 51.71/34.21 tff(32765,plain,
% 51.71/34.21 (~v135(constB143)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32764, 32756])).
% 51.71/34.21 tff(32766,plain,
% 51.71/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32767,plain,
% 51.71/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32768,plain,
% 51.71/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32767, 32766])).
% 51.71/34.21 tff(32769,plain,
% 51.71/34.21 (v135(constB143) | (~v137(constB144))),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32768, 13524, 18314])).
% 51.71/34.21 tff(32770,plain,
% 51.71/34.21 (~v137(constB144)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32769, 32765])).
% 51.71/34.21 tff(32771,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB144) | (~v138(constB144)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB144) | (~v138(constB144)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32772,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB144) | (~v138(constB144)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32773,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB144) | (~v138(constB144))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32772, 32771])).
% 51.71/34.21 tff(32774,plain,
% 51.71/34.21 (~v138(constB144)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32773, 13539, 32770])).
% 51.71/34.21 tff(32775,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB144) | (~v144(constB144)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB144) | (~v144(constB144)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32776,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB144) | (~v144(constB144)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32777,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB144) | (~v144(constB144))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32776, 32775])).
% 51.71/34.21 tff(32778,plain,
% 51.71/34.21 (~v144(constB144)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32777, 13567, 25683])).
% 51.71/34.21 tff(32779,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB144) | (~v142(constB144)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB144) | (~v142(constB144)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32780,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB144) | (~v142(constB144)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32781,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB144) | (~v142(constB144))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32780, 32779])).
% 51.71/34.21 tff(32782,plain,
% 51.71/34.21 (~v142(constB144)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32781, 13453, 32778])).
% 51.71/34.21 tff(32783,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB144) | v142(constB144) | (~v135(constB144)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB144) | v142(constB144) | (~v135(constB144)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32784,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB144) | v142(constB144) | (~v135(constB144)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32785,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB144) | v142(constB144) | (~v135(constB144))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32784, 32783])).
% 51.71/34.21 tff(32786,plain,
% 51.71/34.21 (v138(constB144) | (~v135(constB144))),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32785, 13509, 32782])).
% 51.71/34.21 tff(32787,plain,
% 51.71/34.21 (~v135(constB144)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32786, 32774])).
% 51.71/34.21 tff(32788,plain,
% 51.71/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32789,plain,
% 51.71/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32790,plain,
% 51.71/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32789, 32788])).
% 51.71/34.21 tff(32791,plain,
% 51.71/34.21 (v135(constB144) | (~v137(constB145))),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32790, 13524, 18376])).
% 51.71/34.21 tff(32792,plain,
% 51.71/34.21 (~v137(constB145)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32791, 32787])).
% 51.71/34.21 tff(32793,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB145) | (~v138(constB145)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB145) | (~v138(constB145)))),
% 51.71/34.21 inference(rewrite,[status(thm)],[])).
% 51.71/34.21 tff(32794,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB145) | (~v138(constB145)))),
% 51.71/34.21 inference(quant_inst,[status(thm)],[])).
% 51.71/34.21 tff(32795,plain,
% 51.71/34.21 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB145) | (~v138(constB145))),
% 51.71/34.21 inference(modus_ponens,[status(thm)],[32794, 32793])).
% 51.71/34.21 tff(32796,plain,
% 51.71/34.21 (~v138(constB145)),
% 51.71/34.21 inference(unit_resolution,[status(thm)],[32795, 13539, 32792])).
% 51.71/34.21 tff(32797,plain,
% 51.71/34.21 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB145) | v142(constB145) | (~v135(constB145)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB145) | v142(constB145) | (~v135(constB145)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32798,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB145) | v142(constB145) | (~v135(constB145)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32799,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB145) | v142(constB145) | (~v135(constB145))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32798, 32797])).
% 51.71/34.22 tff(32800,plain,
% 51.71/34.22 (v142(constB145) | (~v135(constB145))),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32799, 13509, 32796])).
% 51.71/34.22 tff(32801,plain,
% 51.71/34.22 (~v135(constB145)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32800, 32748])).
% 51.71/34.22 tff(32802,plain,
% 51.71/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32803,plain,
% 51.71/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32804,plain,
% 51.71/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32803, 32802])).
% 51.71/34.22 tff(32805,plain,
% 51.71/34.22 (v135(constB145) | (~v137(constB146))),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32804, 13524, 18495])).
% 51.71/34.22 tff(32806,plain,
% 51.71/34.22 (~v137(constB146)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32805, 32801])).
% 51.71/34.22 tff(32807,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB146) | (~v138(constB146)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB146) | (~v138(constB146)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32808,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB146) | (~v138(constB146)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32809,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB146) | (~v138(constB146))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32808, 32807])).
% 51.71/34.22 tff(32810,plain,
% 51.71/34.22 (~v138(constB146)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32809, 13539, 32806])).
% 51.71/34.22 tff(32811,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB146)) | (~v141(constB146)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB146)) | (~v141(constB146)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32812,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB146)) | (~v141(constB146)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32813,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB146)) | (~v141(constB146))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32812, 32811])).
% 51.71/34.22 tff(32814,plain,
% 51.71/34.22 (~v141(constB146)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32813, 13553, 18515])).
% 51.71/34.22 tff(32815,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB146) | (~v144(constB146)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB146) | (~v144(constB146)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32816,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB146) | (~v144(constB146)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32817,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB146) | (~v144(constB146))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32816, 32815])).
% 51.71/34.22 tff(32818,plain,
% 51.71/34.22 (~v144(constB146)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32817, 13567, 32814])).
% 51.71/34.22 tff(32819,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB146) | (~v142(constB146)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB146) | (~v142(constB146)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32820,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB146) | (~v142(constB146)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32821,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB146) | (~v142(constB146))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32820, 32819])).
% 51.71/34.22 tff(32822,plain,
% 51.71/34.22 (~v142(constB146)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32821, 13453, 32818])).
% 51.71/34.22 tff(32823,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB146) | v142(constB146) | (~v135(constB146)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB146) | v142(constB146) | (~v135(constB146)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32824,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB146) | v142(constB146) | (~v135(constB146)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32825,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB146) | v142(constB146) | (~v135(constB146))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32824, 32823])).
% 51.71/34.22 tff(32826,plain,
% 51.71/34.22 (v138(constB146) | (~v135(constB146))),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32825, 13509, 32822])).
% 51.71/34.22 tff(32827,plain,
% 51.71/34.22 (~v135(constB146)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32826, 32810])).
% 51.71/34.22 tff(32828,plain,
% 51.71/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32829,plain,
% 51.71/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32830,plain,
% 51.71/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32829, 32828])).
% 51.71/34.22 tff(32831,plain,
% 51.71/34.22 (v135(constB146) | (~v137(constB147))),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32830, 13524, 18584])).
% 51.71/34.22 tff(32832,plain,
% 51.71/34.22 (~v137(constB147)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32831, 32827])).
% 51.71/34.22 tff(32833,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB147) | (~v154(constB147)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB147) | (~v154(constB147)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32834,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB147) | (~v154(constB147)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32835,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB147) | (~v154(constB147))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32834, 32833])).
% 51.71/34.22 tff(32836,plain,
% 51.71/34.22 (~v154(constB147)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32835, 13595, 32832])).
% 51.71/34.22 tff(32837,assumption,(v18(constB148)), introduced(assumption)).
% 51.71/34.22 tff(32838,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB148))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32839,plain,
% 51.71/34.22 ($false),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32838, 13324, 32837])).
% 51.71/34.22 tff(32840,plain,(~v18(constB148)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.22 tff(32841,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32842,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32843,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32842, 32841])).
% 51.71/34.22 tff(32844,plain,
% 51.71/34.22 (v22(constB148)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32843, 13337, 19073])).
% 51.71/34.22 tff(32845,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB148) | (~v22(constB148)) | (~v19(constB148)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB148) | (~v22(constB148)) | (~v19(constB148)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32846,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB148) | (~v22(constB148)) | (~v19(constB148)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32847,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB148) | (~v22(constB148)) | (~v19(constB148))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32846, 32845])).
% 51.71/34.22 tff(32848,plain,
% 51.71/34.22 (v18(constB148) | (~v19(constB148))),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32847, 13351, 32844])).
% 51.71/34.22 tff(32849,plain,
% 51.71/34.22 (~v19(constB148)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32848, 32840])).
% 51.71/34.22 tff(32850,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32851,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32852,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148)),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32851, 32850])).
% 51.71/34.22 tff(32853,plain,
% 51.71/34.22 (v13(constB148)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32852, 13363, 32849])).
% 51.71/34.22 tff(32854,plain,
% 51.71/34.22 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32855,plain,
% 51.71/34.22 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32856,plain,
% 51.71/34.22 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32855, 32854])).
% 51.71/34.22 tff(32857,plain,
% 51.71/34.22 (v9(constB147) | (~v13(constB148))),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32856, 13377, 19053])).
% 51.71/34.22 tff(32858,plain,
% 51.71/34.22 (v9(constB147)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32857, 32853])).
% 51.71/34.22 tff(32859,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v141(constB147))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB147) | (~v9(constB147)) | v141(constB147))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32860,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v141(constB147))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32861,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB147) | (~v9(constB147)) | v141(constB147)),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32860, 32859])).
% 51.71/34.22 tff(32862,plain,
% 51.71/34.22 ((~v9(constB147)) | v141(constB147)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32861, 13392, 18581])).
% 51.71/34.22 tff(32863,plain,
% 51.71/34.22 (v141(constB147)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32862, 32858])).
% 51.71/34.22 tff(32864,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB147)) | v140(constB147))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB147)) | v140(constB147))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32865,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB147)) | v140(constB147))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32866,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB147)) | v140(constB147)),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32865, 32864])).
% 51.71/34.22 tff(32867,plain,
% 51.71/34.22 (v140(constB147)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32866, 13404, 32863])).
% 51.71/34.22 tff(32868,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB147)) | (~v153(constB147)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB147)) | (~v153(constB147)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32869,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB147)) | (~v153(constB147)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32870,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB147)) | (~v153(constB147))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32869, 32868])).
% 51.71/34.22 tff(32871,plain,
% 51.71/34.22 (~v153(constB147)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32870, 13640, 32867])).
% 51.71/34.22 tff(32872,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB147) | v154(constB147) | (~v150(constB147)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB147) | v154(constB147) | (~v150(constB147)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32873,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB147) | v154(constB147) | (~v150(constB147)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32874,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB147) | v154(constB147) | (~v150(constB147))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32873, 32872])).
% 51.71/34.22 tff(32875,plain,
% 51.71/34.22 (v154(constB147) | (~v150(constB147))),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32874, 13654, 32871])).
% 51.71/34.22 tff(32876,plain,
% 51.71/34.22 (~v150(constB147)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32875, 32836])).
% 51.71/34.22 tff(32877,plain,
% 51.71/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32878,plain,
% 51.71/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32879,plain,
% 51.71/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32878, 32877])).
% 51.71/34.22 tff(32880,plain,
% 51.71/34.22 (v150(constB147) | (~v152(constB148))),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32879, 13669, 19053])).
% 51.71/34.22 tff(32881,plain,
% 51.71/34.22 (~v152(constB148)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32880, 32876])).
% 51.71/34.22 tff(32882,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB148) | (~v153(constB148)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB148) | (~v153(constB148)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32883,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB148) | (~v153(constB148)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32884,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB148) | (~v153(constB148))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32883, 32882])).
% 51.71/34.22 tff(32885,plain,
% 51.71/34.22 (~v153(constB148)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32884, 13684, 32881])).
% 51.71/34.22 tff(32886,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB148)) | (~v141(constB148)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB148)) | (~v141(constB148)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32887,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB148)) | (~v141(constB148)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32888,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB148)) | (~v141(constB148))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32887, 32886])).
% 51.71/34.22 tff(32889,plain,
% 51.71/34.22 (~v141(constB148)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32888, 13553, 19073])).
% 51.71/34.22 tff(32890,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB148) | (~v155(constB148)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB148) | (~v155(constB148)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32891,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB148) | (~v155(constB148)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32892,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB148) | (~v155(constB148))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32891, 32890])).
% 51.71/34.22 tff(32893,plain,
% 51.71/34.22 (~v155(constB148)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32892, 13702, 32889])).
% 51.71/34.22 tff(32894,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB148) | (~v154(constB148)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB148) | (~v154(constB148)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32895,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB148) | (~v154(constB148)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.22 tff(32896,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB148) | (~v154(constB148))),
% 51.71/34.22 inference(modus_ponens,[status(thm)],[32895, 32894])).
% 51.71/34.22 tff(32897,plain,
% 51.71/34.22 (~v154(constB148)),
% 51.71/34.22 inference(unit_resolution,[status(thm)],[32896, 13716, 32893])).
% 51.71/34.22 tff(32898,plain,
% 51.71/34.22 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB148) | v154(constB148) | (~v150(constB148)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB148) | v154(constB148) | (~v150(constB148)))),
% 51.71/34.22 inference(rewrite,[status(thm)],[])).
% 51.71/34.22 tff(32899,plain,
% 51.71/34.22 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB148) | v154(constB148) | (~v150(constB148)))),
% 51.71/34.22 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32900,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB148) | v154(constB148) | (~v150(constB148))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32899, 32898])).
% 51.71/34.23 tff(32901,plain,
% 51.71/34.23 (v153(constB148) | (~v150(constB148))),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32900, 13654, 32897])).
% 51.71/34.23 tff(32902,plain,
% 51.71/34.23 (~v150(constB148)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32901, 32885])).
% 51.71/34.23 tff(32903,plain,
% 51.71/34.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32904,plain,
% 51.71/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32905,plain,
% 51.71/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32904, 32903])).
% 51.71/34.23 tff(32906,plain,
% 51.71/34.23 (v150(constB148) | (~v152(constB149))),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32905, 13669, 19115])).
% 51.71/34.23 tff(32907,plain,
% 51.71/34.23 (~v152(constB149)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32906, 32902])).
% 51.71/34.23 tff(32908,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB149) | (~v164(constB149)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB149) | (~v164(constB149)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32909,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB149) | (~v164(constB149)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32910,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB149) | (~v164(constB149))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32909, 32908])).
% 51.71/34.23 tff(32911,plain,
% 51.71/34.23 (~v164(constB149)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32910, 13740, 32907])).
% 51.71/34.23 tff(32912,plain,
% 51.71/34.23 (v124(constB139, bitIndex1)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[17865, 1746, 17508])).
% 51.71/34.23 tff(32913,plain,
% 51.71/34.23 (v121(constB139, bitIndex1)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[17867, 32912])).
% 51.71/34.23 tff(32914,plain,
% 51.71/34.23 (v123(constB140, bitIndex1)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[17782, 32913])).
% 51.71/34.23 tff(32915,plain,
% 51.71/34.23 (v84(constB140, bitIndex1) | (~v94(constB140))),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[17776, 887, 32914])).
% 51.71/34.23 tff(32916,plain,
% 51.71/34.23 (v84(constB140, bitIndex1)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32915, 17593])).
% 51.71/34.23 tff(32917,plain,
% 51.71/34.23 (v84(constB141, bitIndex1)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[17879, 32916])).
% 51.71/34.23 tff(32918,plain,
% 51.71/34.23 (~v145(constB141)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[18233, 1091, 32917])).
% 51.71/34.23 tff(32919,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB141) | (~v144(constB141)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB141) | (~v144(constB141)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32920,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB141) | (~v144(constB141)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32921,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB141) | (~v144(constB141))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32920, 32919])).
% 51.71/34.23 tff(32922,plain,
% 51.71/34.23 (~v144(constB141)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32921, 13439, 32918])).
% 51.71/34.23 tff(32923,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB141) | (~v142(constB141)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB141) | (~v142(constB141)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32924,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB141) | (~v142(constB141)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32925,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB141) | (~v142(constB141))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32924, 32923])).
% 51.71/34.23 tff(32926,plain,
% 51.71/34.23 (~v142(constB141)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32925, 13453, 32922])).
% 51.71/34.23 tff(32927,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB141)) | (~v140(constB141)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB141)) | (~v140(constB141)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32928,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB141)) | (~v140(constB141)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32929,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB141)) | (~v140(constB141))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32928, 32927])).
% 51.71/34.23 tff(32930,plain,
% 51.71/34.23 (~v138(constB141)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32929, 13495, 25586])).
% 51.71/34.23 tff(32931,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB141) | v142(constB141) | (~v135(constB141)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB141) | v142(constB141) | (~v135(constB141)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32932,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB141) | v142(constB141) | (~v135(constB141)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32933,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB141) | v142(constB141) | (~v135(constB141))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32932, 32931])).
% 51.71/34.23 tff(32934,plain,
% 51.71/34.23 (v142(constB141) | (~v135(constB141))),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32933, 13509, 32930])).
% 51.71/34.23 tff(32935,plain,
% 51.71/34.23 (~v135(constB141)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32934, 32926])).
% 51.71/34.23 tff(32936,plain,
% 51.71/34.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB141, constB142)) | v135(constB141) | (~v137(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB141, constB142)) | v135(constB141) | (~v137(constB142)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32937,plain,
% 51.71/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB141, constB142)) | v135(constB141) | (~v137(constB142)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32938,plain,
% 51.71/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB141, constB142)) | v135(constB141) | (~v137(constB142))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32937, 32936])).
% 51.71/34.23 tff(32939,plain,
% 51.71/34.23 (v135(constB141) | (~v137(constB142))),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32938, 13524, 17923])).
% 51.71/34.23 tff(32940,plain,
% 51.71/34.23 (~v137(constB142)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32939, 32935])).
% 51.71/34.23 tff(32941,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB142) | (~v138(constB142)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB142) | (~v138(constB142)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32942,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB142) | (~v138(constB142)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32943,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB142) | (~v138(constB142))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32942, 32941])).
% 51.71/34.23 tff(32944,plain,
% 51.71/34.23 (~v138(constB142)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32943, 13539, 32940])).
% 51.71/34.23 tff(32945,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB142) | (~v144(constB142)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB142) | (~v144(constB142)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32946,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB142) | (~v144(constB142)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32947,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB142) | (~v144(constB142))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32946, 32945])).
% 51.71/34.23 tff(32948,plain,
% 51.71/34.23 (~v144(constB142)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32947, 13567, 25608])).
% 51.71/34.23 tff(32949,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB142) | (~v142(constB142)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB142) | (~v142(constB142)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32950,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB142) | (~v142(constB142)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32951,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB142) | (~v142(constB142))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32950, 32949])).
% 51.71/34.23 tff(32952,plain,
% 51.71/34.23 (~v142(constB142)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32951, 13453, 32948])).
% 51.71/34.23 tff(32953,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB142) | v142(constB142) | (~v135(constB142)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB142) | v142(constB142) | (~v135(constB142)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32954,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB142) | v142(constB142) | (~v135(constB142)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32955,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB142) | v142(constB142) | (~v135(constB142))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32954, 32953])).
% 51.71/34.23 tff(32956,plain,
% 51.71/34.23 (v138(constB142) | (~v135(constB142))),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32955, 13509, 32952])).
% 51.71/34.23 tff(32957,plain,
% 51.71/34.23 (~v135(constB142)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32956, 32944])).
% 51.71/34.23 tff(32958,plain,
% 51.71/34.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB142, constB143)) | v135(constB142) | (~v137(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB142, constB143)) | v135(constB142) | (~v137(constB143)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32959,plain,
% 51.71/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB142, constB143)) | v135(constB142) | (~v137(constB143)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32960,plain,
% 51.71/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB142, constB143)) | v135(constB142) | (~v137(constB143))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32959, 32958])).
% 51.71/34.23 tff(32961,plain,
% 51.71/34.23 (v135(constB142) | (~v137(constB143))),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32960, 13524, 17995])).
% 51.71/34.23 tff(32962,plain,
% 51.71/34.23 (~v137(constB143)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32961, 32957])).
% 51.71/34.23 tff(32963,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB143) | (~v154(constB143)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB143) | (~v154(constB143)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32964,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB143) | (~v154(constB143)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32965,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB143) | (~v154(constB143))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32964, 32963])).
% 51.71/34.23 tff(32966,plain,
% 51.71/34.23 (~v154(constB143)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32965, 13595, 32962])).
% 51.71/34.23 tff(32967,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB143)) | (~v153(constB143)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB143)) | (~v153(constB143)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32968,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB143)) | (~v153(constB143)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32969,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB143)) | (~v153(constB143))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32968, 32967])).
% 51.71/34.23 tff(32970,plain,
% 51.71/34.23 (~v153(constB143)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32969, 13640, 25661])).
% 51.71/34.23 tff(32971,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB143) | v154(constB143) | (~v150(constB143)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB143) | v154(constB143) | (~v150(constB143)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32972,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB143) | v154(constB143) | (~v150(constB143)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32973,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB143) | v154(constB143) | (~v150(constB143))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32972, 32971])).
% 51.71/34.23 tff(32974,plain,
% 51.71/34.23 (v154(constB143) | (~v150(constB143))),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32973, 13654, 32970])).
% 51.71/34.23 tff(32975,plain,
% 51.71/34.23 (~v150(constB143)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32974, 32966])).
% 51.71/34.23 tff(32976,plain,
% 51.71/34.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB143, constB144)) | v150(constB143) | (~v152(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB143, constB144)) | v150(constB143) | (~v152(constB144)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32977,plain,
% 51.71/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB143, constB144)) | v150(constB143) | (~v152(constB144)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32978,plain,
% 51.71/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB143, constB144)) | v150(constB143) | (~v152(constB144))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32977, 32976])).
% 51.71/34.23 tff(32979,plain,
% 51.71/34.23 (v150(constB143) | (~v152(constB144))),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32978, 13669, 18314])).
% 51.71/34.23 tff(32980,plain,
% 51.71/34.23 (~v152(constB144)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32979, 32975])).
% 51.71/34.23 tff(32981,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB144) | (~v153(constB144)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB144) | (~v153(constB144)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32982,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB144) | (~v153(constB144)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32983,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB144) | (~v153(constB144))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32982, 32981])).
% 51.71/34.23 tff(32984,plain,
% 51.71/34.23 (~v153(constB144)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32983, 13684, 32980])).
% 51.71/34.23 tff(32985,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB144) | (~v154(constB144)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB144) | (~v154(constB144)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32986,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB144) | (~v154(constB144)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32987,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB144) | (~v154(constB144))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32986, 32985])).
% 51.71/34.23 tff(32988,plain,
% 51.71/34.23 (~v154(constB144)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32987, 13716, 25687])).
% 51.71/34.23 tff(32989,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB144) | v154(constB144) | (~v150(constB144)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB144) | v154(constB144) | (~v150(constB144)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32990,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB144) | v154(constB144) | (~v150(constB144)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32991,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB144) | v154(constB144) | (~v150(constB144))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32990, 32989])).
% 51.71/34.23 tff(32992,plain,
% 51.71/34.23 (v153(constB144) | (~v150(constB144))),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32991, 13654, 32988])).
% 51.71/34.23 tff(32993,plain,
% 51.71/34.23 (~v150(constB144)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32992, 32984])).
% 51.71/34.23 tff(32994,plain,
% 51.71/34.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB144, constB145)) | v150(constB144) | (~v152(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB144, constB145)) | v150(constB144) | (~v152(constB145)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(32995,plain,
% 51.71/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB144, constB145)) | v150(constB144) | (~v152(constB145)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(32996,plain,
% 51.71/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB144, constB145)) | v150(constB144) | (~v152(constB145))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[32995, 32994])).
% 51.71/34.23 tff(32997,plain,
% 51.71/34.23 (v150(constB144) | (~v152(constB145))),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32996, 13669, 18376])).
% 51.71/34.23 tff(32998,plain,
% 51.71/34.23 (~v152(constB145)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[32997, 32993])).
% 51.71/34.23 tff(32999,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB145) | (~v153(constB145)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB145) | (~v153(constB145)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(33000,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB145) | (~v153(constB145)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(33001,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB145) | (~v153(constB145))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[33000, 32999])).
% 51.71/34.23 tff(33002,plain,
% 51.71/34.23 (~v153(constB145)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[33001, 13684, 32998])).
% 51.71/34.23 tff(33003,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB145) | (~v154(constB145)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB145) | (~v154(constB145)))),
% 51.71/34.23 inference(rewrite,[status(thm)],[])).
% 51.71/34.23 tff(33004,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB145) | (~v154(constB145)))),
% 51.71/34.23 inference(quant_inst,[status(thm)],[])).
% 51.71/34.23 tff(33005,plain,
% 51.71/34.23 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB145) | (~v154(constB145))),
% 51.71/34.23 inference(modus_ponens,[status(thm)],[33004, 33003])).
% 51.71/34.23 tff(33006,plain,
% 51.71/34.23 (~v154(constB145)),
% 51.71/34.23 inference(unit_resolution,[status(thm)],[33005, 13595, 32792])).
% 51.71/34.23 tff(33007,plain,
% 51.71/34.23 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB145) | v154(constB145) | (~v150(constB145)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB145) | v154(constB145) | (~v150(constB145)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33008,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB145) | v154(constB145) | (~v150(constB145)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33009,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB145) | v154(constB145) | (~v150(constB145))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33008, 33007])).
% 51.71/34.24 tff(33010,plain,
% 51.71/34.24 (v153(constB145) | (~v150(constB145))),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33009, 13654, 33006])).
% 51.71/34.24 tff(33011,plain,
% 51.71/34.24 (~v150(constB145)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33010, 33002])).
% 51.71/34.24 tff(33012,plain,
% 51.71/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33013,plain,
% 51.71/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33014,plain,
% 51.71/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33013, 33012])).
% 51.71/34.24 tff(33015,plain,
% 51.71/34.24 (v150(constB145) | (~v152(constB146))),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33014, 13669, 18495])).
% 51.71/34.24 tff(33016,plain,
% 51.71/34.24 (~v152(constB146)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33015, 33011])).
% 51.71/34.24 tff(33017,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB146) | (~v153(constB146)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB146) | (~v153(constB146)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33018,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB146) | (~v153(constB146)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33019,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB146) | (~v153(constB146))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33018, 33017])).
% 51.71/34.24 tff(33020,plain,
% 51.71/34.24 (~v153(constB146)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33019, 13684, 33016])).
% 51.71/34.24 tff(33021,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB146) | (~v155(constB146)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB146) | (~v155(constB146)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33022,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB146) | (~v155(constB146)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33023,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB146) | (~v155(constB146))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33022, 33021])).
% 51.71/34.24 tff(33024,plain,
% 51.71/34.24 (~v155(constB146)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33023, 13702, 32814])).
% 51.71/34.24 tff(33025,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB146) | (~v154(constB146)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB146) | (~v154(constB146)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33026,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB146) | (~v154(constB146)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33027,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB146) | (~v154(constB146))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33026, 33025])).
% 51.71/34.24 tff(33028,plain,
% 51.71/34.24 (~v154(constB146)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33027, 13716, 33024])).
% 51.71/34.24 tff(33029,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB146) | v154(constB146) | (~v150(constB146)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB146) | v154(constB146) | (~v150(constB146)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33030,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB146) | v154(constB146) | (~v150(constB146)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33031,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB146) | v154(constB146) | (~v150(constB146))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33030, 33029])).
% 51.71/34.24 tff(33032,plain,
% 51.71/34.24 (v153(constB146) | (~v150(constB146))),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33031, 13654, 33028])).
% 51.71/34.24 tff(33033,plain,
% 51.71/34.24 (~v150(constB146)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33032, 33020])).
% 51.71/34.24 tff(33034,plain,
% 51.71/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33035,plain,
% 51.71/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33036,plain,
% 51.71/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33035, 33034])).
% 51.71/34.24 tff(33037,plain,
% 51.71/34.24 (v150(constB146) | (~v152(constB147))),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33036, 13669, 18584])).
% 51.71/34.24 tff(33038,plain,
% 51.71/34.24 (~v152(constB147)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33037, 33033])).
% 51.71/34.24 tff(33039,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB147) | (~v164(constB147)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB147) | (~v164(constB147)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33040,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB147) | (~v164(constB147)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33041,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB147) | (~v164(constB147))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33040, 33039])).
% 51.71/34.24 tff(33042,plain,
% 51.71/34.24 (~v164(constB147)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33041, 13740, 33038])).
% 51.71/34.24 tff(33043,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB147)) | (~v163(constB147)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB147)) | (~v163(constB147)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33044,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB147)) | (~v163(constB147)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33045,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB147)) | (~v163(constB147))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33044, 33043])).
% 51.71/34.24 tff(33046,plain,
% 51.71/34.24 (~v163(constB147)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33045, 13421, 32867])).
% 51.71/34.24 tff(33047,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB147) | v164(constB147) | (~v160(constB147)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB147) | v164(constB147) | (~v160(constB147)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33048,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB147) | v164(constB147) | (~v160(constB147)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33049,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB147) | v164(constB147) | (~v160(constB147))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33048, 33047])).
% 51.71/34.24 tff(33050,plain,
% 51.71/34.24 (v164(constB147) | (~v160(constB147))),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33049, 13754, 33046])).
% 51.71/34.24 tff(33051,plain,
% 51.71/34.24 (~v160(constB147)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33050, 33042])).
% 51.71/34.24 tff(33052,plain,
% 51.71/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33053,plain,
% 51.71/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33054,plain,
% 51.71/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33053, 33052])).
% 51.71/34.24 tff(33055,plain,
% 51.71/34.24 (v160(constB147) | (~v162(constB148))),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33054, 13769, 19053])).
% 51.71/34.24 tff(33056,plain,
% 51.71/34.24 (~v162(constB148)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33055, 33051])).
% 51.71/34.24 tff(33057,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB148) | (~v163(constB148)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB148) | (~v163(constB148)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33058,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB148) | (~v163(constB148)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33059,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB148) | (~v163(constB148))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33058, 33057])).
% 51.71/34.24 tff(33060,plain,
% 51.71/34.24 (~v163(constB148)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33059, 13784, 33056])).
% 51.71/34.24 tff(33061,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB148) | (~v164(constB148)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB148) | (~v164(constB148)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33062,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB148) | (~v164(constB148)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33063,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB148) | (~v164(constB148))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33062, 33061])).
% 51.71/34.24 tff(33064,plain,
% 51.71/34.24 (~v164(constB148)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33063, 13806, 32893])).
% 51.71/34.24 tff(33065,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB148) | v164(constB148) | (~v160(constB148)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB148) | v164(constB148) | (~v160(constB148)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33066,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB148) | v164(constB148) | (~v160(constB148)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33067,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB148) | v164(constB148) | (~v160(constB148))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33066, 33065])).
% 51.71/34.24 tff(33068,plain,
% 51.71/34.24 (v163(constB148) | (~v160(constB148))),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33067, 13754, 33064])).
% 51.71/34.24 tff(33069,plain,
% 51.71/34.24 (~v160(constB148)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33068, 33060])).
% 51.71/34.24 tff(33070,plain,
% 51.71/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33071,plain,
% 51.71/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33072,plain,
% 51.71/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33071, 33070])).
% 51.71/34.24 tff(33073,plain,
% 51.71/34.24 (v160(constB148) | (~v162(constB149))),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33072, 13769, 19115])).
% 51.71/34.24 tff(33074,plain,
% 51.71/34.24 (~v162(constB149)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33073, 33069])).
% 51.71/34.24 tff(33075,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB149) | (~v163(constB149)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB149) | (~v163(constB149)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33076,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB149) | (~v163(constB149)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33077,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB149) | (~v163(constB149))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33076, 33075])).
% 51.71/34.24 tff(33078,plain,
% 51.71/34.24 (~v163(constB149)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33077, 13784, 33074])).
% 51.71/34.24 tff(33079,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB149) | v164(constB149) | (~v160(constB149)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB149) | v164(constB149) | (~v160(constB149)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33080,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB149) | v164(constB149) | (~v160(constB149)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33081,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB149) | v164(constB149) | (~v160(constB149))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33080, 33079])).
% 51.71/34.24 tff(33082,plain,
% 51.71/34.24 (v164(constB149) | (~v160(constB149))),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33081, 13754, 33078])).
% 51.71/34.24 tff(33083,plain,
% 51.71/34.24 (~v160(constB149)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33082, 32911])).
% 51.71/34.24 tff(33084,plain,
% 51.71/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33085,plain,
% 51.71/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33086,plain,
% 51.71/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33085, 33084])).
% 51.71/34.24 tff(33087,plain,
% 51.71/34.24 (v160(constB149) | (~v162(constB150))),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33086, 13769, 19253])).
% 51.71/34.24 tff(33088,plain,
% 51.71/34.24 (~v162(constB150)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33087, 33083])).
% 51.71/34.24 tff(33089,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB150) | (~v163(constB150)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB150) | (~v163(constB150)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33090,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB150) | (~v163(constB150)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33091,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB150) | (~v163(constB150))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33090, 33089])).
% 51.71/34.24 tff(33092,plain,
% 51.71/34.24 (~v163(constB150)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33091, 13784, 33088])).
% 51.71/34.24 tff(33093,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB150) | (~v155(constB150)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB150) | (~v155(constB150)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33094,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB150) | (~v155(constB150)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33095,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB150) | (~v155(constB150))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33094, 33093])).
% 51.71/34.24 tff(33096,plain,
% 51.71/34.24 (~v155(constB150)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33095, 13702, 23150])).
% 51.71/34.24 tff(33097,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB150) | (~v164(constB150)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB150) | (~v164(constB150)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33098,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB150) | (~v164(constB150)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33099,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB150) | (~v164(constB150))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33098, 33097])).
% 51.71/34.24 tff(33100,plain,
% 51.71/34.24 (~v164(constB150)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33099, 13806, 33096])).
% 51.71/34.24 tff(33101,plain,
% 51.71/34.24 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB150) | v164(constB150) | (~v160(constB150)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB150) | v164(constB150) | (~v160(constB150)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33102,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB150) | v164(constB150) | (~v160(constB150)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33103,plain,
% 51.71/34.24 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB150) | v164(constB150) | (~v160(constB150))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33102, 33101])).
% 51.71/34.24 tff(33104,plain,
% 51.71/34.24 (v163(constB150) | (~v160(constB150))),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33103, 13754, 33100])).
% 51.71/34.24 tff(33105,plain,
% 51.71/34.24 (~v160(constB150)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33104, 33092])).
% 51.71/34.24 tff(33106,plain,
% 51.71/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151)))),
% 51.71/34.24 inference(rewrite,[status(thm)],[])).
% 51.71/34.24 tff(33107,plain,
% 51.71/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151)))),
% 51.71/34.24 inference(quant_inst,[status(thm)],[])).
% 51.71/34.24 tff(33108,plain,
% 51.71/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151))),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[33107, 33106])).
% 51.71/34.24 tff(33109,plain,
% 51.71/34.24 (v160(constB150) | (~v162(constB151))),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33108, 13769, 19315])).
% 51.71/34.24 tff(33110,plain,
% 51.71/34.24 (~v162(constB151)),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33109, 33105])).
% 51.71/34.24 tff(33111,plain,
% 51.71/34.24 ($false),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[33110, 32740])).
% 51.71/34.24 tff(33112,plain,(~(constB151 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.24 tff(33113,assumption,(constB102 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.24 tff(33114,plain,
% 51.71/34.24 (v1(constB102) <=> v1(sK0_VarCurr)),
% 51.71/34.24 inference(monotonicity,[status(thm)],[33113])).
% 51.71/34.24 tff(33115,plain,
% 51.71/34.24 (v1(sK0_VarCurr) <=> v1(constB102)),
% 51.71/34.24 inference(symmetry,[status(thm)],[33114])).
% 51.71/34.24 tff(33116,plain,
% 51.71/34.24 ((~v1(sK0_VarCurr)) <=> (~v1(constB102))),
% 51.71/34.24 inference(monotonicity,[status(thm)],[33115])).
% 51.71/34.24 tff(33117,plain,
% 51.71/34.24 (~v1(constB102)),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[25725, 33116])).
% 51.71/34.24 tff(33118,plain,
% 51.71/34.24 ($false),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[13161, 33117])).
% 51.71/34.24 tff(33119,plain,(~(constB102 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.24 tff(33120,assumption,(constB122 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.24 tff(33121,plain,
% 51.71/34.24 (v1(constB122) <=> v1(sK0_VarCurr)),
% 51.71/34.24 inference(monotonicity,[status(thm)],[33120])).
% 51.71/34.24 tff(33122,plain,
% 51.71/34.24 (v1(sK0_VarCurr) <=> v1(constB122)),
% 51.71/34.24 inference(symmetry,[status(thm)],[33121])).
% 51.71/34.24 tff(33123,plain,
% 51.71/34.24 ((~v1(sK0_VarCurr)) <=> (~v1(constB122))),
% 51.71/34.24 inference(monotonicity,[status(thm)],[33122])).
% 51.71/34.24 tff(33124,plain,
% 51.71/34.24 (~v1(constB122)),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[25725, 33123])).
% 51.71/34.24 tff(33125,plain,
% 51.71/34.24 ($false),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[15755, 33124])).
% 51.71/34.24 tff(33126,plain,(~(constB122 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.24 tff(33127,assumption,(constB3 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.24 tff(33128,plain,
% 51.71/34.24 (v162(constB3) <=> v162(sK0_VarCurr)),
% 51.71/34.24 inference(monotonicity,[status(thm)],[33127])).
% 51.71/34.24 tff(33129,plain,
% 51.71/34.24 (v162(sK0_VarCurr) <=> v162(constB3)),
% 51.71/34.24 inference(symmetry,[status(thm)],[33128])).
% 51.71/34.24 tff(33130,plain,
% 51.71/34.24 (v162(constB3)),
% 51.71/34.24 inference(modus_ponens,[status(thm)],[13315, 33129])).
% 51.71/34.24 tff(33131,plain,
% 51.71/34.24 ($false),
% 51.71/34.24 inference(unit_resolution,[status(thm)],[26405, 33130])).
% 51.71/34.24 tff(33132,plain,(~(constB3 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.25 tff(33133,assumption,(constB56 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.25 tff(33134,plain,
% 51.71/34.25 (v1(constB56) <=> v1(sK0_VarCurr)),
% 51.71/34.25 inference(monotonicity,[status(thm)],[33133])).
% 51.71/34.25 tff(33135,plain,
% 51.71/34.25 (v1(sK0_VarCurr) <=> v1(constB56)),
% 51.71/34.25 inference(symmetry,[status(thm)],[33134])).
% 51.71/34.25 tff(33136,plain,
% 51.71/34.25 ((~v1(sK0_VarCurr)) <=> (~v1(constB56))),
% 51.71/34.25 inference(monotonicity,[status(thm)],[33135])).
% 51.71/34.25 tff(33137,plain,
% 51.71/34.25 (~v1(constB56)),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[25725, 33136])).
% 51.71/34.25 tff(33138,plain,
% 51.71/34.25 ($false),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[7725, 33137])).
% 51.71/34.25 tff(33139,plain,(~(constB56 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.25 tff(33140,assumption,(constB19 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.25 tff(33141,plain,
% 51.71/34.25 (v162(constB19) <=> v162(sK0_VarCurr)),
% 51.71/34.25 inference(monotonicity,[status(thm)],[33140])).
% 51.71/34.25 tff(33142,plain,
% 51.71/34.25 (v162(sK0_VarCurr) <=> v162(constB19)),
% 51.71/34.25 inference(symmetry,[status(thm)],[33141])).
% 51.71/34.25 tff(33143,plain,
% 51.71/34.25 (v162(constB19)),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[13315, 33142])).
% 51.71/34.25 tff(33144,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB13)) | (~v84(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB13)) | (~v84(constB13, bitIndex2)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33145,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB13)) | (~v84(constB13, bitIndex2)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33146,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB13)) | (~v84(constB13, bitIndex2))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33145, 33144])).
% 51.71/34.25 tff(33147,plain,
% 51.71/34.25 (~v145(constB13)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33146, 4483, 1972])).
% 51.71/34.25 tff(33148,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB13) | (~v144(constB13)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB13) | (~v144(constB13)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33149,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB13) | (~v144(constB13)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33150,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB13) | (~v144(constB13))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33149, 33148])).
% 51.71/34.25 tff(33151,plain,
% 51.71/34.25 (~v144(constB13)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33150, 13439, 33147])).
% 51.71/34.25 tff(33152,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB13) | (~v142(constB13)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB13) | (~v142(constB13)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33153,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB13) | (~v142(constB13)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33154,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB13) | (~v142(constB13))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33153, 33152])).
% 51.71/34.25 tff(33155,plain,
% 51.71/34.25 (~v142(constB13)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33154, 13453, 33151])).
% 51.71/34.25 tff(33156,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB11)) | (~v84(constB11, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB11)) | (~v84(constB11, bitIndex1)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33157,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB11)) | (~v84(constB11, bitIndex1)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33158,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB11)) | (~v84(constB11, bitIndex1))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33157, 33156])).
% 51.71/34.25 tff(33159,plain,
% 51.71/34.25 (~v145(constB11)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33158, 1091, 1777])).
% 51.71/34.25 tff(33160,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB11) | (~v144(constB11)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB11) | (~v144(constB11)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33161,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB11) | (~v144(constB11)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33162,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB11) | (~v144(constB11))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33161, 33160])).
% 51.71/34.25 tff(33163,plain,
% 51.71/34.25 (~v144(constB11)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33162, 13439, 33159])).
% 51.71/34.25 tff(33164,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB11) | (~v142(constB11)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB11) | (~v142(constB11)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33165,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB11) | (~v142(constB11)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33166,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB11) | (~v142(constB11))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33165, 33164])).
% 51.71/34.25 tff(33167,plain,
% 51.71/34.25 (~v142(constB11)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33166, 13453, 33163])).
% 51.71/34.25 tff(33168,assumption,(v18(constB12)), introduced(assumption)).
% 51.71/34.25 tff(33169,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB12))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33170,plain,
% 51.71/34.25 ($false),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33169, 13324, 33168])).
% 51.71/34.25 tff(33171,plain,(~v18(constB12)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.25 tff(33172,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB12) | (~v1(constB12)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB12) | (~v1(constB12)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33173,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB12) | (~v1(constB12)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33174,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB12) | (~v1(constB12))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33173, 33172])).
% 51.71/34.25 tff(33175,plain,
% 51.71/34.25 (v22(constB12)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33174, 13337, 1902])).
% 51.71/34.25 tff(33176,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB12) | (~v22(constB12)) | (~v19(constB12)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB12) | (~v22(constB12)) | (~v19(constB12)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33177,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB12) | (~v22(constB12)) | (~v19(constB12)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33178,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB12) | (~v22(constB12)) | (~v19(constB12))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33177, 33176])).
% 51.71/34.25 tff(33179,plain,
% 51.71/34.25 (v18(constB12) | (~v19(constB12))),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33178, 13351, 33175])).
% 51.71/34.25 tff(33180,plain,
% 51.71/34.25 (~v19(constB12)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33179, 33171])).
% 51.71/34.25 tff(33181,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB12) | v19(constB12))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB12) | v19(constB12))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33182,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB12) | v19(constB12))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33183,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB12) | v19(constB12)),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33182, 33181])).
% 51.71/34.25 tff(33184,plain,
% 51.71/34.25 (v13(constB12)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33183, 13363, 33180])).
% 51.71/34.25 tff(33185,plain,
% 51.71/34.25 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB11) | (~v13(constB12)) | (~nextState(constB11, constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB11) | (~v13(constB12)) | (~nextState(constB11, constB12)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33186,plain,
% 51.71/34.25 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB11) | (~v13(constB12)) | (~nextState(constB11, constB12)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33187,plain,
% 51.71/34.25 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB11) | (~v13(constB12)) | (~nextState(constB11, constB12))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33186, 33185])).
% 51.71/34.25 tff(33188,plain,
% 51.71/34.25 (v9(constB11) | (~v13(constB12))),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33187, 13377, 1882])).
% 51.71/34.25 tff(33189,plain,
% 51.71/34.25 (v9(constB11)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33188, 33184])).
% 51.71/34.25 tff(33190,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB11) | (~v9(constB11)) | v141(constB11))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB11) | (~v9(constB11)) | v141(constB11))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33191,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB11) | (~v9(constB11)) | v141(constB11))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33192,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB11) | (~v9(constB11)) | v141(constB11)),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33191, 33190])).
% 51.71/34.25 tff(33193,plain,
% 51.71/34.25 ((~v9(constB11)) | v141(constB11)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33192, 13392, 1715])).
% 51.71/34.25 tff(33194,plain,
% 51.71/34.25 (v141(constB11)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33193, 33189])).
% 51.71/34.25 tff(33195,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB11)) | v140(constB11))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB11)) | v140(constB11))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33196,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB11)) | v140(constB11))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33197,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB11)) | v140(constB11)),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33196, 33195])).
% 51.71/34.25 tff(33198,plain,
% 51.71/34.25 (v140(constB11)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33197, 13404, 33194])).
% 51.71/34.25 tff(33199,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB11)) | (~v140(constB11)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB11)) | (~v140(constB11)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33200,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB11)) | (~v140(constB11)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33201,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB11)) | (~v140(constB11))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33200, 33199])).
% 51.71/34.25 tff(33202,plain,
% 51.71/34.25 (~v138(constB11)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33201, 13495, 33198])).
% 51.71/34.25 tff(33203,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB11) | v142(constB11) | (~v135(constB11)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB11) | v142(constB11) | (~v135(constB11)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33204,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB11) | v142(constB11) | (~v135(constB11)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33205,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB11) | v142(constB11) | (~v135(constB11))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33204, 33203])).
% 51.71/34.25 tff(33206,plain,
% 51.71/34.25 (v142(constB11) | (~v135(constB11))),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33205, 13509, 33202])).
% 51.71/34.25 tff(33207,plain,
% 51.71/34.25 (~v135(constB11)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33206, 33167])).
% 51.71/34.25 tff(33208,plain,
% 51.71/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33209,plain,
% 51.71/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33210,plain,
% 51.71/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33209, 33208])).
% 51.71/34.25 tff(33211,plain,
% 51.71/34.25 (v135(constB11) | (~v137(constB12))),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33210, 13524, 1882])).
% 51.71/34.25 tff(33212,plain,
% 51.71/34.25 (~v137(constB12)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33211, 33207])).
% 51.71/34.25 tff(33213,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB12) | (~v138(constB12)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB12) | (~v138(constB12)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33214,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB12) | (~v138(constB12)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33215,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB12) | (~v138(constB12))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33214, 33213])).
% 51.71/34.25 tff(33216,plain,
% 51.71/34.25 (~v138(constB12)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33215, 13539, 33212])).
% 51.71/34.25 tff(33217,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB12)) | (~v141(constB12)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB12)) | (~v141(constB12)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33218,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB12)) | (~v141(constB12)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33219,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB12)) | (~v141(constB12))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33218, 33217])).
% 51.71/34.25 tff(33220,plain,
% 51.71/34.25 (~v141(constB12)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33219, 13553, 1902])).
% 51.71/34.25 tff(33221,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB12) | (~v144(constB12)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB12) | (~v144(constB12)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33222,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB12) | (~v144(constB12)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33223,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB12) | (~v144(constB12))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33222, 33221])).
% 51.71/34.25 tff(33224,plain,
% 51.71/34.25 (~v144(constB12)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33223, 13567, 33220])).
% 51.71/34.25 tff(33225,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB12) | (~v142(constB12)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB12) | (~v142(constB12)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33226,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB12) | (~v142(constB12)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33227,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB12) | (~v142(constB12))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33226, 33225])).
% 51.71/34.25 tff(33228,plain,
% 51.71/34.25 (~v142(constB12)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33227, 13453, 33224])).
% 51.71/34.25 tff(33229,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB12) | v142(constB12) | (~v135(constB12)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB12) | v142(constB12) | (~v135(constB12)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33230,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB12) | v142(constB12) | (~v135(constB12)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33231,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB12) | v142(constB12) | (~v135(constB12))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33230, 33229])).
% 51.71/34.25 tff(33232,plain,
% 51.71/34.25 (v138(constB12) | (~v135(constB12))),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33231, 13509, 33228])).
% 51.71/34.25 tff(33233,plain,
% 51.71/34.25 (~v135(constB12)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33232, 33216])).
% 51.71/34.25 tff(33234,plain,
% 51.71/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33235,plain,
% 51.71/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33236,plain,
% 51.71/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33235, 33234])).
% 51.71/34.25 tff(33237,plain,
% 51.71/34.25 (v135(constB12) | (~v137(constB13))),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33236, 13524, 1951])).
% 51.71/34.25 tff(33238,plain,
% 51.71/34.25 (~v137(constB13)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33237, 33233])).
% 51.71/34.25 tff(33239,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB13) | (~v138(constB13)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB13) | (~v138(constB13)))),
% 51.71/34.25 inference(rewrite,[status(thm)],[])).
% 51.71/34.25 tff(33240,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB13) | (~v138(constB13)))),
% 51.71/34.25 inference(quant_inst,[status(thm)],[])).
% 51.71/34.25 tff(33241,plain,
% 51.71/34.25 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB13) | (~v138(constB13))),
% 51.71/34.25 inference(modus_ponens,[status(thm)],[33240, 33239])).
% 51.71/34.25 tff(33242,plain,
% 51.71/34.25 (~v138(constB13)),
% 51.71/34.25 inference(unit_resolution,[status(thm)],[33241, 13539, 33238])).
% 51.71/34.25 tff(33243,plain,
% 51.71/34.25 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB13) | v142(constB13) | (~v135(constB13)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB13) | v142(constB13) | (~v135(constB13)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33244,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB13) | v142(constB13) | (~v135(constB13)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33245,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB13) | v142(constB13) | (~v135(constB13))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33244, 33243])).
% 51.71/34.26 tff(33246,plain,
% 51.71/34.26 (v142(constB13) | (~v135(constB13))),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33245, 13509, 33242])).
% 51.71/34.26 tff(33247,plain,
% 51.71/34.26 (~v135(constB13)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33246, 33155])).
% 51.71/34.26 tff(33248,plain,
% 51.71/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33249,plain,
% 51.71/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33250,plain,
% 51.71/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33249, 33248])).
% 51.71/34.26 tff(33251,plain,
% 51.71/34.26 (v135(constB13) | (~v137(constB14))),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33250, 13524, 2088])).
% 51.71/34.26 tff(33252,plain,
% 51.71/34.26 (~v137(constB14)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33251, 33247])).
% 51.71/34.26 tff(33253,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB14) | (~v138(constB14)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB14) | (~v138(constB14)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33254,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB14) | (~v138(constB14)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33255,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB14) | (~v138(constB14))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33254, 33253])).
% 51.71/34.26 tff(33256,plain,
% 51.71/34.26 (~v138(constB14)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33255, 13539, 33252])).
% 51.71/34.26 tff(33257,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB14)) | (~v141(constB14)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB14)) | (~v141(constB14)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33258,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB14)) | (~v141(constB14)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33259,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB14)) | (~v141(constB14))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33258, 33257])).
% 51.71/34.26 tff(33260,plain,
% 51.71/34.26 (~v141(constB14)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33259, 13553, 2108])).
% 51.71/34.26 tff(33261,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB14) | (~v144(constB14)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB14) | (~v144(constB14)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33262,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB14) | (~v144(constB14)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33263,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB14) | (~v144(constB14))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33262, 33261])).
% 51.71/34.26 tff(33264,plain,
% 51.71/34.26 (~v144(constB14)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33263, 13567, 33260])).
% 51.71/34.26 tff(33265,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB14) | (~v142(constB14)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB14) | (~v142(constB14)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33266,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB14) | (~v142(constB14)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33267,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB14) | (~v142(constB14))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33266, 33265])).
% 51.71/34.26 tff(33268,plain,
% 51.71/34.26 (~v142(constB14)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33267, 13453, 33264])).
% 51.71/34.26 tff(33269,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB14) | v142(constB14) | (~v135(constB14)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB14) | v142(constB14) | (~v135(constB14)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33270,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB14) | v142(constB14) | (~v135(constB14)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33271,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB14) | v142(constB14) | (~v135(constB14))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33270, 33269])).
% 51.71/34.26 tff(33272,plain,
% 51.71/34.26 (v138(constB14) | (~v135(constB14))),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33271, 13509, 33268])).
% 51.71/34.26 tff(33273,plain,
% 51.71/34.26 (~v135(constB14)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33272, 33256])).
% 51.71/34.26 tff(33274,plain,
% 51.71/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33275,plain,
% 51.71/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33276,plain,
% 51.71/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33275, 33274])).
% 51.71/34.26 tff(33277,plain,
% 51.71/34.26 (v135(constB14) | (~v137(constB15))),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33276, 13524, 2150])).
% 51.71/34.26 tff(33278,plain,
% 51.71/34.26 (~v137(constB15)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33277, 33273])).
% 51.71/34.26 tff(33279,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB15) | (~v154(constB15)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB15) | (~v154(constB15)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33280,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB15) | (~v154(constB15)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33281,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB15) | (~v154(constB15))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33280, 33279])).
% 51.71/34.26 tff(33282,plain,
% 51.71/34.26 (~v154(constB15)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33281, 13595, 33278])).
% 51.71/34.26 tff(33283,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB15)) | (~v153(constB15)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB15)) | (~v153(constB15)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33284,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB15)) | (~v153(constB15)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33285,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB15)) | (~v153(constB15))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33284, 33283])).
% 51.71/34.26 tff(33286,plain,
% 51.71/34.26 (~v153(constB15)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33285, 13640, 31588])).
% 51.71/34.26 tff(33287,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB15) | v154(constB15) | (~v150(constB15)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB15) | v154(constB15) | (~v150(constB15)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33288,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB15) | v154(constB15) | (~v150(constB15)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33289,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB15) | v154(constB15) | (~v150(constB15))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33288, 33287])).
% 51.71/34.26 tff(33290,plain,
% 51.71/34.26 (v154(constB15) | (~v150(constB15))),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33289, 13654, 33286])).
% 51.71/34.26 tff(33291,plain,
% 51.71/34.26 (~v150(constB15)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33290, 33282])).
% 51.71/34.26 tff(33292,plain,
% 51.71/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33293,plain,
% 51.71/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33294,plain,
% 51.71/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33293, 33292])).
% 51.71/34.26 tff(33295,plain,
% 51.71/34.26 (v150(constB15) | (~v152(constB16))),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33294, 13669, 2268])).
% 51.71/34.26 tff(33296,plain,
% 51.71/34.26 (~v152(constB16)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33295, 33291])).
% 51.71/34.26 tff(33297,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB16) | (~v153(constB16)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB16) | (~v153(constB16)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33298,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB16) | (~v153(constB16)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33299,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB16) | (~v153(constB16))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33298, 33297])).
% 51.71/34.26 tff(33300,plain,
% 51.71/34.26 (~v153(constB16)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33299, 13684, 33296])).
% 51.71/34.26 tff(33301,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB16) | (~v155(constB16)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB16) | (~v155(constB16)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33302,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB16) | (~v155(constB16)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33303,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB16) | (~v155(constB16))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33302, 33301])).
% 51.71/34.26 tff(33304,plain,
% 51.71/34.26 (~v155(constB16)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33303, 13702, 31610])).
% 51.71/34.26 tff(33305,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB16) | (~v154(constB16)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB16) | (~v154(constB16)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33306,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB16) | (~v154(constB16)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33307,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB16) | (~v154(constB16))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33306, 33305])).
% 51.71/34.26 tff(33308,plain,
% 51.71/34.26 (~v154(constB16)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33307, 13716, 33304])).
% 51.71/34.26 tff(33309,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB16) | v154(constB16) | (~v150(constB16)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB16) | v154(constB16) | (~v150(constB16)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33310,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB16) | v154(constB16) | (~v150(constB16)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33311,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB16) | v154(constB16) | (~v150(constB16))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33310, 33309])).
% 51.71/34.26 tff(33312,plain,
% 51.71/34.26 (v153(constB16) | (~v150(constB16))),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33311, 13654, 33308])).
% 51.71/34.26 tff(33313,plain,
% 51.71/34.26 (~v150(constB16)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33312, 33300])).
% 51.71/34.26 tff(33314,plain,
% 51.71/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33315,plain,
% 51.71/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33316,plain,
% 51.71/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33315, 33314])).
% 51.71/34.26 tff(33317,plain,
% 51.71/34.26 (v150(constB16) | (~v152(constB17))),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33316, 13669, 2370])).
% 51.71/34.26 tff(33318,plain,
% 51.71/34.26 (~v152(constB17)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33317, 33313])).
% 51.71/34.26 tff(33319,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB17) | (~v164(constB17)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB17) | (~v164(constB17)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33320,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB17) | (~v164(constB17)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33321,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB17) | (~v164(constB17))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33320, 33319])).
% 51.71/34.26 tff(33322,plain,
% 51.71/34.26 (~v164(constB17)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33321, 13740, 33318])).
% 51.71/34.26 tff(33323,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB17)) | (~v163(constB17)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB17)) | (~v163(constB17)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33324,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB17)) | (~v163(constB17)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33325,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB17)) | (~v163(constB17))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33324, 33323])).
% 51.71/34.26 tff(33326,plain,
% 51.71/34.26 (~v163(constB17)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33325, 13421, 31663])).
% 51.71/34.26 tff(33327,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB17) | v164(constB17) | (~v160(constB17)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB17) | v164(constB17) | (~v160(constB17)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33328,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB17) | v164(constB17) | (~v160(constB17)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33329,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB17) | v164(constB17) | (~v160(constB17))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33328, 33327])).
% 51.71/34.26 tff(33330,plain,
% 51.71/34.26 (v164(constB17) | (~v160(constB17))),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33329, 13754, 33326])).
% 51.71/34.26 tff(33331,plain,
% 51.71/34.26 (~v160(constB17)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33330, 33322])).
% 51.71/34.26 tff(33332,plain,
% 51.71/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33333,plain,
% 51.71/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33334,plain,
% 51.71/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33333, 33332])).
% 51.71/34.26 tff(33335,plain,
% 51.71/34.26 (v160(constB17) | (~v162(constB18))),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33334, 13769, 2495])).
% 51.71/34.26 tff(33336,plain,
% 51.71/34.26 (~v162(constB18)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33335, 33331])).
% 51.71/34.26 tff(33337,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB18) | (~v163(constB18)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB18) | (~v163(constB18)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33338,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB18) | (~v163(constB18)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33339,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB18) | (~v163(constB18))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33338, 33337])).
% 51.71/34.26 tff(33340,plain,
% 51.71/34.26 (~v163(constB18)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33339, 13784, 33336])).
% 51.71/34.26 tff(33341,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB18) | (~v164(constB18)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB18) | (~v164(constB18)))),
% 51.71/34.26 inference(rewrite,[status(thm)],[])).
% 51.71/34.26 tff(33342,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB18) | (~v164(constB18)))),
% 51.71/34.26 inference(quant_inst,[status(thm)],[])).
% 51.71/34.26 tff(33343,plain,
% 51.71/34.26 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB18) | (~v164(constB18))),
% 51.71/34.26 inference(modus_ponens,[status(thm)],[33342, 33341])).
% 51.71/34.26 tff(33344,plain,
% 51.71/34.26 (~v164(constB18)),
% 51.71/34.26 inference(unit_resolution,[status(thm)],[33343, 13806, 31689])).
% 51.71/34.26 tff(33345,plain,
% 51.71/34.26 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB18) | v164(constB18) | (~v160(constB18)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB18) | v164(constB18) | (~v160(constB18)))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33346,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB18) | v164(constB18) | (~v160(constB18)))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33347,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB18) | v164(constB18) | (~v160(constB18))),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[33346, 33345])).
% 51.71/34.27 tff(33348,plain,
% 51.71/34.27 (v163(constB18) | (~v160(constB18))),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33347, 13754, 33344])).
% 51.71/34.27 tff(33349,plain,
% 51.71/34.27 (~v160(constB18)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33348, 33340])).
% 51.71/34.27 tff(33350,plain,
% 51.71/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19)))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33351,plain,
% 51.71/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19)))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33352,plain,
% 51.71/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19))),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[33351, 33350])).
% 51.71/34.27 tff(33353,plain,
% 51.71/34.27 (v160(constB18) | (~v162(constB19))),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33352, 13769, 2662])).
% 51.71/34.27 tff(33354,plain,
% 51.71/34.27 (~v162(constB19)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33353, 33349])).
% 51.71/34.27 tff(33355,plain,
% 51.71/34.27 ($false),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33354, 33143])).
% 51.71/34.27 tff(33356,plain,(~(constB19 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.27 tff(33357,assumption,(constB49 = sK0_VarCurr), introduced(assumption)).
% 51.71/34.27 tff(33358,plain,
% 51.71/34.27 (v162(constB49) <=> v162(sK0_VarCurr)),
% 51.71/34.27 inference(monotonicity,[status(thm)],[33357])).
% 51.71/34.27 tff(33359,plain,
% 51.71/34.27 (v162(sK0_VarCurr) <=> v162(constB49)),
% 51.71/34.27 inference(symmetry,[status(thm)],[33358])).
% 51.71/34.27 tff(33360,plain,
% 51.71/34.27 (v162(constB49)),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[13315, 33359])).
% 51.71/34.27 tff(33361,plain,
% 51.71/34.27 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB43)) | (~v84(constB43, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB43)) | (~v84(constB43, bitIndex2)))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33362,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB43)) | (~v84(constB43, bitIndex2)))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33363,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB43)) | (~v84(constB43, bitIndex2))),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[33362, 33361])).
% 51.71/34.27 tff(33364,plain,
% 51.71/34.27 (~v145(constB43)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33363, 4483, 6412])).
% 51.71/34.27 tff(33365,plain,
% 51.71/34.27 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB43) | (~v144(constB43)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB43) | (~v144(constB43)))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33366,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB43) | (~v144(constB43)))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33367,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB43) | (~v144(constB43))),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[33366, 33365])).
% 51.71/34.27 tff(33368,plain,
% 51.71/34.27 (~v144(constB43)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33367, 13439, 33364])).
% 51.71/34.27 tff(33369,plain,
% 51.71/34.27 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB43) | (~v142(constB43)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB43) | (~v142(constB43)))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33370,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB43) | (~v142(constB43)))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33371,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB43) | (~v142(constB43))),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[33370, 33369])).
% 51.71/34.27 tff(33372,plain,
% 51.71/34.27 (~v142(constB43)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33371, 13453, 33368])).
% 51.71/34.27 tff(33373,assumption,(v18(constB44)), introduced(assumption)).
% 51.71/34.27 tff(33374,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB44))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33375,plain,
% 51.71/34.27 ($false),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33374, 13324, 33373])).
% 51.71/34.27 tff(33376,plain,(~v18(constB44)), inference(lemma,lemma(discharge,[]))).
% 51.71/34.27 tff(33377,plain,
% 51.71/34.27 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44)))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33378,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33379,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44))),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[33378, 33377])).
% 51.71/34.27 tff(33380,plain,
% 51.71/34.27 (v22(constB44)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33379, 13337, 6541])).
% 51.71/34.27 tff(33381,plain,
% 51.71/34.27 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB44) | (~v22(constB44)) | (~v19(constB44)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB44) | (~v22(constB44)) | (~v19(constB44)))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33382,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB44) | (~v22(constB44)) | (~v19(constB44)))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33383,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB44) | (~v22(constB44)) | (~v19(constB44))),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[33382, 33381])).
% 51.71/34.27 tff(33384,plain,
% 51.71/34.27 (v18(constB44) | (~v19(constB44))),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33383, 13351, 33380])).
% 51.71/34.27 tff(33385,plain,
% 51.71/34.27 (~v19(constB44)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33384, 33376])).
% 51.71/34.27 tff(33386,plain,
% 51.71/34.27 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33387,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33388,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44)),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[33387, 33386])).
% 51.71/34.27 tff(33389,plain,
% 51.71/34.27 (v13(constB44)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33388, 13363, 33385])).
% 51.71/34.27 tff(33390,plain,
% 51.71/34.27 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44)))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33391,plain,
% 51.71/34.27 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44)))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33392,plain,
% 51.71/34.27 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44))),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[33391, 33390])).
% 51.71/34.27 tff(33393,plain,
% 51.71/34.27 (v9(constB43) | (~v13(constB44))),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33392, 13377, 6521])).
% 51.71/34.27 tff(33394,plain,
% 51.71/34.27 (v9(constB43)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33393, 33389])).
% 51.71/34.27 tff(33395,plain,
% 51.71/34.27 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v141(constB43))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB43) | (~v9(constB43)) | v141(constB43))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33396,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v141(constB43))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33397,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB43) | (~v9(constB43)) | v141(constB43)),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[33396, 33395])).
% 51.71/34.27 tff(33398,plain,
% 51.71/34.27 ((~v9(constB43)) | v141(constB43)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33397, 13392, 6388])).
% 51.71/34.27 tff(33399,plain,
% 51.71/34.27 (v141(constB43)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33398, 33394])).
% 51.71/34.27 tff(33400,plain,
% 51.71/34.27 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB43) | (~v141(constB43)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB43) | (~v141(constB43)))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33401,plain,
% 51.71/34.27 (((~v141(constB43)) | v140(constB43)) <=> (v140(constB43) | (~v141(constB43)))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33402,plain,
% 51.71/34.27 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB43)) | v140(constB43))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB43) | (~v141(constB43))))),
% 51.71/34.27 inference(monotonicity,[status(thm)],[33401])).
% 51.71/34.27 tff(33403,plain,
% 51.71/34.27 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB43)) | v140(constB43))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB43) | (~v141(constB43)))),
% 51.71/34.27 inference(transitivity,[status(thm)],[33402, 33400])).
% 51.71/34.27 tff(33404,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB43)) | v140(constB43))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33405,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB43) | (~v141(constB43))),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[33404, 33403])).
% 51.71/34.27 tff(33406,plain,
% 51.71/34.27 (v140(constB43)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33405, 13404, 33399])).
% 51.71/34.27 tff(33407,plain,
% 51.71/34.27 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB43)) | (~v140(constB43)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB43)) | (~v140(constB43)))),
% 51.71/34.27 inference(rewrite,[status(thm)],[])).
% 51.71/34.27 tff(33408,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB43)) | (~v140(constB43)))),
% 51.71/34.27 inference(quant_inst,[status(thm)],[])).
% 51.71/34.27 tff(33409,plain,
% 51.71/34.27 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB43)) | (~v140(constB43))),
% 51.71/34.27 inference(modus_ponens,[status(thm)],[33408, 33407])).
% 51.71/34.27 tff(33410,plain,
% 51.71/34.27 (~v138(constB43)),
% 51.71/34.27 inference(unit_resolution,[status(thm)],[33409, 13495, 33406])).
% 51.71/34.27 tff(33411,plain,
% 51.71/34.27 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB43) | v142(constB43) | (~v135(constB43)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB43) | v142(constB43) | (~v135(constB43)))),
% 51.79/34.27 inference(rewrite,[status(thm)],[])).
% 51.79/34.27 tff(33412,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB43) | v142(constB43) | (~v135(constB43)))),
% 51.79/34.27 inference(quant_inst,[status(thm)],[])).
% 51.79/34.27 tff(33413,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB43) | v142(constB43) | (~v135(constB43))),
% 51.79/34.27 inference(modus_ponens,[status(thm)],[33412, 33411])).
% 51.79/34.27 tff(33414,plain,
% 51.79/34.27 (v142(constB43) | (~v135(constB43))),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33413, 13509, 33410])).
% 51.79/34.27 tff(33415,plain,
% 51.79/34.27 (~v135(constB43)),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33414, 33372])).
% 51.79/34.27 tff(33416,plain,
% 51.79/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44)))),
% 51.79/34.27 inference(rewrite,[status(thm)],[])).
% 51.79/34.27 tff(33417,plain,
% 51.79/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44)))),
% 51.79/34.27 inference(quant_inst,[status(thm)],[])).
% 51.79/34.27 tff(33418,plain,
% 51.79/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44))),
% 51.79/34.27 inference(modus_ponens,[status(thm)],[33417, 33416])).
% 51.79/34.27 tff(33419,plain,
% 51.79/34.27 (v135(constB43) | (~v137(constB44))),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33418, 13524, 6521])).
% 51.79/34.27 tff(33420,plain,
% 51.79/34.27 (~v137(constB44)),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33419, 33415])).
% 51.79/34.27 tff(33421,plain,
% 51.79/34.27 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB44) | (~v138(constB44)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB44) | (~v138(constB44)))),
% 51.79/34.27 inference(rewrite,[status(thm)],[])).
% 51.79/34.27 tff(33422,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB44) | (~v138(constB44)))),
% 51.79/34.27 inference(quant_inst,[status(thm)],[])).
% 51.79/34.27 tff(33423,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB44) | (~v138(constB44))),
% 51.79/34.27 inference(modus_ponens,[status(thm)],[33422, 33421])).
% 51.79/34.27 tff(33424,plain,
% 51.79/34.27 (~v138(constB44)),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33423, 13539, 33420])).
% 51.79/34.27 tff(33425,plain,
% 51.79/34.27 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB44) | (~v144(constB44)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB44) | (~v144(constB44)))),
% 51.79/34.27 inference(rewrite,[status(thm)],[])).
% 51.79/34.27 tff(33426,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB44) | (~v144(constB44)))),
% 51.79/34.27 inference(quant_inst,[status(thm)],[])).
% 51.79/34.27 tff(33427,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB44) | (~v144(constB44))),
% 51.79/34.27 inference(modus_ponens,[status(thm)],[33426, 33425])).
% 51.79/34.27 tff(33428,plain,
% 51.79/34.27 (~v144(constB44)),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33427, 13567, 28988])).
% 51.79/34.27 tff(33429,plain,
% 51.79/34.27 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB44) | (~v142(constB44)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB44) | (~v142(constB44)))),
% 51.79/34.27 inference(rewrite,[status(thm)],[])).
% 51.79/34.27 tff(33430,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB44) | (~v142(constB44)))),
% 51.79/34.27 inference(quant_inst,[status(thm)],[])).
% 51.79/34.27 tff(33431,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB44) | (~v142(constB44))),
% 51.79/34.27 inference(modus_ponens,[status(thm)],[33430, 33429])).
% 51.79/34.27 tff(33432,plain,
% 51.79/34.27 (~v142(constB44)),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33431, 13453, 33428])).
% 51.79/34.27 tff(33433,plain,
% 51.79/34.27 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB44) | v142(constB44) | (~v135(constB44)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB44) | v142(constB44) | (~v135(constB44)))),
% 51.79/34.27 inference(rewrite,[status(thm)],[])).
% 51.79/34.27 tff(33434,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB44) | v142(constB44) | (~v135(constB44)))),
% 51.79/34.27 inference(quant_inst,[status(thm)],[])).
% 51.79/34.27 tff(33435,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB44) | v142(constB44) | (~v135(constB44))),
% 51.79/34.27 inference(modus_ponens,[status(thm)],[33434, 33433])).
% 51.79/34.27 tff(33436,plain,
% 51.79/34.27 (v138(constB44) | (~v135(constB44))),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33435, 13509, 33432])).
% 51.79/34.27 tff(33437,plain,
% 51.79/34.27 (~v135(constB44)),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33436, 33424])).
% 51.79/34.27 tff(33438,plain,
% 51.79/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45)))),
% 51.79/34.27 inference(rewrite,[status(thm)],[])).
% 51.79/34.27 tff(33439,plain,
% 51.79/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45)))),
% 51.79/34.27 inference(quant_inst,[status(thm)],[])).
% 51.79/34.27 tff(33440,plain,
% 51.79/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45))),
% 51.79/34.27 inference(modus_ponens,[status(thm)],[33439, 33438])).
% 51.79/34.27 tff(33441,plain,
% 51.79/34.27 (v135(constB44) | (~v137(constB45))),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33440, 13524, 6583])).
% 51.79/34.27 tff(33442,plain,
% 51.79/34.27 (~v137(constB45)),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33441, 33437])).
% 51.79/34.27 tff(33443,plain,
% 51.79/34.27 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB45) | (~v154(constB45)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB45) | (~v154(constB45)))),
% 51.79/34.27 inference(rewrite,[status(thm)],[])).
% 51.79/34.27 tff(33444,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB45) | (~v154(constB45)))),
% 51.79/34.27 inference(quant_inst,[status(thm)],[])).
% 51.79/34.27 tff(33445,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB45) | (~v154(constB45))),
% 51.79/34.27 inference(modus_ponens,[status(thm)],[33444, 33443])).
% 51.79/34.27 tff(33446,plain,
% 51.79/34.27 (~v154(constB45)),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33445, 13595, 33442])).
% 51.79/34.27 tff(33447,plain,
% 51.79/34.27 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB45)) | (~v153(constB45)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB45)) | (~v153(constB45)))),
% 51.79/34.27 inference(rewrite,[status(thm)],[])).
% 51.79/34.27 tff(33448,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB45)) | (~v153(constB45)))),
% 51.79/34.27 inference(quant_inst,[status(thm)],[])).
% 51.79/34.27 tff(33449,plain,
% 51.79/34.27 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB45)) | (~v153(constB45))),
% 51.79/34.27 inference(modus_ponens,[status(thm)],[33448, 33447])).
% 51.79/34.27 tff(33450,plain,
% 51.79/34.27 (~v153(constB45)),
% 51.79/34.27 inference(unit_resolution,[status(thm)],[33449, 13640, 29041])).
% 51.79/34.27 tff(33451,plain,
% 51.79/34.27 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB45) | v154(constB45) | (~v150(constB45)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB45) | v154(constB45) | (~v150(constB45)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33452,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB45) | v154(constB45) | (~v150(constB45)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33453,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB45) | v154(constB45) | (~v150(constB45))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33452, 33451])).
% 51.79/34.28 tff(33454,plain,
% 51.79/34.28 (v154(constB45) | (~v150(constB45))),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33453, 13654, 33450])).
% 51.79/34.28 tff(33455,plain,
% 51.79/34.28 (~v150(constB45)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33454, 33446])).
% 51.79/34.28 tff(33456,plain,
% 51.79/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33457,plain,
% 51.79/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33458,plain,
% 51.79/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33457, 33456])).
% 51.79/34.28 tff(33459,plain,
% 51.79/34.28 (v150(constB45) | (~v152(constB46))),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33458, 13669, 6696])).
% 51.79/34.28 tff(33460,plain,
% 51.79/34.28 (~v152(constB46)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33459, 33455])).
% 51.79/34.28 tff(33461,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB46) | (~v153(constB46)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB46) | (~v153(constB46)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33462,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB46) | (~v153(constB46)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33463,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB46) | (~v153(constB46))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33462, 33461])).
% 51.79/34.28 tff(33464,plain,
% 51.79/34.28 (~v153(constB46)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33463, 13684, 33460])).
% 51.79/34.28 tff(33465,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB46) | (~v154(constB46)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB46) | (~v154(constB46)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33466,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB46) | (~v154(constB46)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33467,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB46) | (~v154(constB46))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33466, 33465])).
% 51.79/34.28 tff(33468,plain,
% 51.79/34.28 (~v154(constB46)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33467, 13716, 29067])).
% 51.79/34.28 tff(33469,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB46) | v154(constB46) | (~v150(constB46)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB46) | v154(constB46) | (~v150(constB46)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33470,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB46) | v154(constB46) | (~v150(constB46)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33471,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB46) | v154(constB46) | (~v150(constB46))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33470, 33469])).
% 51.79/34.28 tff(33472,plain,
% 51.79/34.28 (v153(constB46) | (~v150(constB46))),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33471, 13654, 33468])).
% 51.79/34.28 tff(33473,plain,
% 51.79/34.28 (~v150(constB46)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33472, 33464])).
% 51.79/34.28 tff(33474,plain,
% 51.79/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33475,plain,
% 51.79/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33476,plain,
% 51.79/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33475, 33474])).
% 51.79/34.28 tff(33477,plain,
% 51.79/34.28 (v150(constB46) | (~v152(constB47))),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33476, 13669, 6785])).
% 51.79/34.28 tff(33478,plain,
% 51.79/34.28 (~v152(constB47)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33477, 33473])).
% 51.79/34.28 tff(33479,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB47) | (~v164(constB47)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB47) | (~v164(constB47)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33480,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB47) | (~v164(constB47)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33481,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB47) | (~v164(constB47))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33480, 33479])).
% 51.79/34.28 tff(33482,plain,
% 51.79/34.28 (~v164(constB47)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33481, 13740, 33478])).
% 51.79/34.28 tff(33483,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB47)) | (~v163(constB47)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB47)) | (~v163(constB47)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33484,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB47)) | (~v163(constB47)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33485,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB47)) | (~v163(constB47))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33484, 33483])).
% 51.79/34.28 tff(33486,plain,
% 51.79/34.28 (~v163(constB47)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33485, 13421, 31285])).
% 51.79/34.28 tff(33487,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB47) | v164(constB47) | (~v160(constB47)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB47) | v164(constB47) | (~v160(constB47)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33488,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB47) | v164(constB47) | (~v160(constB47)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33489,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB47) | v164(constB47) | (~v160(constB47))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33488, 33487])).
% 51.79/34.28 tff(33490,plain,
% 51.79/34.28 (v164(constB47) | (~v160(constB47))),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33489, 13754, 33486])).
% 51.79/34.28 tff(33491,plain,
% 51.79/34.28 (~v160(constB47)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33490, 33482])).
% 51.79/34.28 tff(33492,plain,
% 51.79/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33493,plain,
% 51.79/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33494,plain,
% 51.79/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33493, 33492])).
% 51.79/34.28 tff(33495,plain,
% 51.79/34.28 (v160(constB47) | (~v162(constB48))),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33494, 13769, 6933])).
% 51.79/34.28 tff(33496,plain,
% 51.79/34.28 (~v162(constB48)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33495, 33491])).
% 51.79/34.28 tff(33497,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB48) | (~v163(constB48)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB48) | (~v163(constB48)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33498,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB48) | (~v163(constB48)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33499,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB48) | (~v163(constB48))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33498, 33497])).
% 51.79/34.28 tff(33500,plain,
% 51.79/34.28 (~v163(constB48)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33499, 13784, 33496])).
% 51.79/34.28 tff(33501,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB48) | (~v164(constB48)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB48) | (~v164(constB48)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33502,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB48) | (~v164(constB48)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33503,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB48) | (~v164(constB48))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33502, 33501])).
% 51.79/34.28 tff(33504,plain,
% 51.79/34.28 (~v164(constB48)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33503, 13806, 31311])).
% 51.79/34.28 tff(33505,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB48) | v164(constB48) | (~v160(constB48)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB48) | v164(constB48) | (~v160(constB48)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33506,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB48) | v164(constB48) | (~v160(constB48)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33507,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB48) | v164(constB48) | (~v160(constB48))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33506, 33505])).
% 51.79/34.28 tff(33508,plain,
% 51.79/34.28 (v163(constB48) | (~v160(constB48))),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33507, 13754, 33504])).
% 51.79/34.28 tff(33509,plain,
% 51.79/34.28 (~v160(constB48)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33508, 33500])).
% 51.79/34.28 tff(33510,plain,
% 51.79/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33511,plain,
% 51.79/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33512,plain,
% 51.79/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33511, 33510])).
% 51.79/34.28 tff(33513,plain,
% 51.79/34.28 (v160(constB48) | (~v162(constB49))),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33512, 13769, 6998])).
% 51.79/34.28 tff(33514,plain,
% 51.79/34.28 (~v162(constB49)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33513, 33509])).
% 51.79/34.28 tff(33515,plain,
% 51.79/34.28 ($false),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33514, 33360])).
% 51.79/34.28 tff(33516,plain,(~(constB49 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.79/34.28 tff(33517,assumption,(constB15 = sK0_VarCurr), introduced(assumption)).
% 51.79/34.28 tff(33518,plain,
% 51.79/34.28 (v162(constB15) <=> v162(sK0_VarCurr)),
% 51.79/34.28 inference(monotonicity,[status(thm)],[33517])).
% 51.79/34.28 tff(33519,plain,
% 51.79/34.28 (v162(sK0_VarCurr) <=> v162(constB15)),
% 51.79/34.28 inference(symmetry,[status(thm)],[33518])).
% 51.79/34.28 tff(33520,plain,
% 51.79/34.28 (v162(constB15)),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[13315, 33519])).
% 51.79/34.28 tff(33521,assumption,(v18(constB14)), introduced(assumption)).
% 51.79/34.28 tff(33522,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB14))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33523,plain,
% 51.79/34.28 ($false),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33522, 13324, 33521])).
% 51.79/34.28 tff(33524,plain,(~v18(constB14)), inference(lemma,lemma(discharge,[]))).
% 51.79/34.28 tff(33525,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB14) | (~v1(constB14)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB14) | (~v1(constB14)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33526,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB14) | (~v1(constB14)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33527,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB14) | (~v1(constB14))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33526, 33525])).
% 51.79/34.28 tff(33528,plain,
% 51.79/34.28 (v22(constB14)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33527, 13337, 2108])).
% 51.79/34.28 tff(33529,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB14) | (~v22(constB14)) | (~v19(constB14)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB14) | (~v22(constB14)) | (~v19(constB14)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33530,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB14) | (~v22(constB14)) | (~v19(constB14)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33531,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB14) | (~v22(constB14)) | (~v19(constB14))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33530, 33529])).
% 51.79/34.28 tff(33532,plain,
% 51.79/34.28 (v18(constB14) | (~v19(constB14))),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33531, 13351, 33528])).
% 51.79/34.28 tff(33533,plain,
% 51.79/34.28 (~v19(constB14)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33532, 33524])).
% 51.79/34.28 tff(33534,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB14) | v19(constB14))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB14) | v19(constB14))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33535,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB14) | v19(constB14))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33536,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB14) | v19(constB14)),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33535, 33534])).
% 51.79/34.28 tff(33537,plain,
% 51.79/34.28 (v13(constB14)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33536, 13363, 33533])).
% 51.79/34.28 tff(33538,plain,
% 51.79/34.28 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB13) | (~v13(constB14)) | (~nextState(constB13, constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB13) | (~v13(constB14)) | (~nextState(constB13, constB14)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33539,plain,
% 51.79/34.28 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB13) | (~v13(constB14)) | (~nextState(constB13, constB14)))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33540,plain,
% 51.79/34.28 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB13) | (~v13(constB14)) | (~nextState(constB13, constB14))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33539, 33538])).
% 51.79/34.28 tff(33541,plain,
% 51.79/34.28 (v9(constB13) | (~v13(constB14))),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33540, 13377, 2088])).
% 51.79/34.28 tff(33542,plain,
% 51.79/34.28 (v9(constB13)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33541, 33537])).
% 51.79/34.28 tff(33543,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v141(constB13))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB13) | (~v9(constB13)) | v141(constB13))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33544,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v141(constB13))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33545,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB13) | (~v9(constB13)) | v141(constB13)),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33544, 33543])).
% 51.79/34.28 tff(33546,plain,
% 51.79/34.28 ((~v9(constB13)) | v141(constB13)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33545, 13392, 1948])).
% 51.79/34.28 tff(33547,plain,
% 51.79/34.28 (v141(constB13)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33546, 33542])).
% 51.79/34.28 tff(33548,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB13) | (~v141(constB13)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB13) | (~v141(constB13)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33549,plain,
% 51.79/34.28 (((~v141(constB13)) | v140(constB13)) <=> (v140(constB13) | (~v141(constB13)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33550,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB13)) | v140(constB13))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB13) | (~v141(constB13))))),
% 51.79/34.28 inference(monotonicity,[status(thm)],[33549])).
% 51.79/34.28 tff(33551,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB13)) | v140(constB13))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB13) | (~v141(constB13)))),
% 51.79/34.28 inference(transitivity,[status(thm)],[33550, 33548])).
% 51.79/34.28 tff(33552,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB13)) | v140(constB13))),
% 51.79/34.28 inference(quant_inst,[status(thm)],[])).
% 51.79/34.28 tff(33553,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB13) | (~v141(constB13))),
% 51.79/34.28 inference(modus_ponens,[status(thm)],[33552, 33551])).
% 51.79/34.28 tff(33554,plain,
% 51.79/34.28 (v140(constB13)),
% 51.79/34.28 inference(unit_resolution,[status(thm)],[33553, 13404, 33547])).
% 51.79/34.28 tff(33555,plain,
% 51.79/34.28 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB13)) | (~v163(constB13)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB13)) | (~v163(constB13)))),
% 51.79/34.28 inference(rewrite,[status(thm)],[])).
% 51.79/34.28 tff(33556,plain,
% 51.79/34.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB13)) | (~v163(constB13)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33557,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB13)) | (~v163(constB13))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33556, 33555])).
% 51.79/34.29 tff(33558,plain,
% 51.79/34.29 (~v163(constB13)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33557, 13421, 33554])).
% 51.79/34.29 tff(33559,assumption,(v18(constB10)), introduced(assumption)).
% 51.79/34.29 tff(33560,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB10))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33561,plain,
% 51.79/34.29 ($false),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33560, 13324, 33559])).
% 51.79/34.29 tff(33562,plain,(~v18(constB10)), inference(lemma,lemma(discharge,[]))).
% 51.79/34.29 tff(33563,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33564,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33565,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33564, 33563])).
% 51.79/34.29 tff(33566,plain,
% 51.79/34.29 (v22(constB10)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33565, 13337, 1669])).
% 51.79/34.29 tff(33567,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB10) | (~v22(constB10)) | (~v19(constB10)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB10) | (~v22(constB10)) | (~v19(constB10)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33568,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB10) | (~v22(constB10)) | (~v19(constB10)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33569,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB10) | (~v22(constB10)) | (~v19(constB10))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33568, 33567])).
% 51.79/34.29 tff(33570,plain,
% 51.79/34.29 (v18(constB10) | (~v19(constB10))),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33569, 13351, 33566])).
% 51.79/34.29 tff(33571,plain,
% 51.79/34.29 (~v19(constB10)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33570, 33562])).
% 51.79/34.29 tff(33572,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33573,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33574,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10)),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33573, 33572])).
% 51.79/34.29 tff(33575,plain,
% 51.79/34.29 (v13(constB10)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33574, 13363, 33571])).
% 51.79/34.29 tff(33576,plain,
% 51.79/34.29 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33577,plain,
% 51.79/34.29 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33578,plain,
% 51.79/34.29 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33577, 33576])).
% 51.79/34.29 tff(33579,plain,
% 51.79/34.29 (v9(constB9) | (~v13(constB10))),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33578, 13377, 1649])).
% 51.79/34.29 tff(33580,plain,
% 51.79/34.29 (v9(constB9)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33579, 33575])).
% 51.79/34.29 tff(33581,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v141(constB9))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB9) | (~v9(constB9)) | v141(constB9))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33582,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v141(constB9))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33583,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB9) | (~v9(constB9)) | v141(constB9)),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33582, 33581])).
% 51.79/34.29 tff(33584,plain,
% 51.79/34.29 ((~v9(constB9)) | v141(constB9)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33583, 13392, 1481])).
% 51.79/34.29 tff(33585,plain,
% 51.79/34.29 (v141(constB9)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33584, 33580])).
% 51.79/34.29 tff(33586,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB9) | (~v141(constB9)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB9) | (~v141(constB9)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33587,plain,
% 51.79/34.29 (((~v141(constB9)) | v140(constB9)) <=> (v140(constB9) | (~v141(constB9)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33588,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB9)) | v140(constB9))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB9) | (~v141(constB9))))),
% 51.79/34.29 inference(monotonicity,[status(thm)],[33587])).
% 51.79/34.29 tff(33589,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB9)) | v140(constB9))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB9) | (~v141(constB9)))),
% 51.79/34.29 inference(transitivity,[status(thm)],[33588, 33586])).
% 51.79/34.29 tff(33590,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB9)) | v140(constB9))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33591,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB9) | (~v141(constB9))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33590, 33589])).
% 51.79/34.29 tff(33592,plain,
% 51.79/34.29 (v140(constB9)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33591, 13404, 33585])).
% 51.79/34.29 tff(33593,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB9)) | (~v140(constB9)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB9)) | (~v140(constB9)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33594,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB9)) | (~v140(constB9)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33595,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB9)) | (~v140(constB9))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33594, 33593])).
% 51.79/34.29 tff(33596,plain,
% 51.79/34.29 (~v138(constB9)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33595, 13495, 33592])).
% 51.79/34.29 tff(33597,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB9)) | (~v84(constB9, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB9)) | (~v84(constB9, bitIndex1)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33598,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB9)) | (~v84(constB9, bitIndex1)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33599,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB9)) | (~v84(constB9, bitIndex1))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33598, 33597])).
% 51.79/34.29 tff(33600,plain,
% 51.79/34.29 (~v145(constB9)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33599, 1091, 1543])).
% 51.79/34.29 tff(33601,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB9) | (~v144(constB9)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB9) | (~v144(constB9)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33602,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB9) | (~v144(constB9)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33603,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB9) | (~v144(constB9))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33602, 33601])).
% 51.79/34.29 tff(33604,plain,
% 51.79/34.29 (~v144(constB9)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33603, 13439, 33600])).
% 51.79/34.29 tff(33605,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB9) | (~v142(constB9)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB9) | (~v142(constB9)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33606,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB9) | (~v142(constB9)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33607,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB9) | (~v142(constB9))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33606, 33605])).
% 51.79/34.29 tff(33608,plain,
% 51.79/34.29 (~v142(constB9)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33607, 13453, 33604])).
% 51.79/34.29 tff(33609,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB9) | v142(constB9) | (~v135(constB9)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB9) | v142(constB9) | (~v135(constB9)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33610,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB9) | v142(constB9) | (~v135(constB9)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33611,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB9) | v142(constB9) | (~v135(constB9))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33610, 33609])).
% 51.79/34.29 tff(33612,plain,
% 51.79/34.29 (v138(constB9) | (~v135(constB9))),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33611, 13509, 33608])).
% 51.79/34.29 tff(33613,plain,
% 51.79/34.29 (~v135(constB9)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33612, 33596])).
% 51.79/34.29 tff(33614,plain,
% 51.79/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33615,plain,
% 51.79/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33616,plain,
% 51.79/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33615, 33614])).
% 51.79/34.29 tff(33617,plain,
% 51.79/34.29 (v135(constB9) | (~v137(constB10))),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33616, 13524, 1649])).
% 51.79/34.29 tff(33618,plain,
% 51.79/34.29 (~v137(constB10)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33617, 33613])).
% 51.79/34.29 tff(33619,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB10) | (~v138(constB10)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB10) | (~v138(constB10)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33620,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB10) | (~v138(constB10)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33621,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB10) | (~v138(constB10))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33620, 33619])).
% 51.79/34.29 tff(33622,plain,
% 51.79/34.29 (~v138(constB10)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33621, 13539, 33618])).
% 51.79/34.29 tff(33623,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB10) | (~v144(constB10)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB10) | (~v144(constB10)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33624,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB10) | (~v144(constB10)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33625,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB10) | (~v144(constB10))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33624, 33623])).
% 51.79/34.29 tff(33626,plain,
% 51.79/34.29 (~v144(constB10)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33625, 13567, 27476])).
% 51.79/34.29 tff(33627,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB10) | (~v142(constB10)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB10) | (~v142(constB10)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33628,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB10) | (~v142(constB10)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33629,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB10) | (~v142(constB10))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33628, 33627])).
% 51.79/34.29 tff(33630,plain,
% 51.79/34.29 (~v142(constB10)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33629, 13453, 33626])).
% 51.79/34.29 tff(33631,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB10) | v142(constB10) | (~v135(constB10)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB10) | v142(constB10) | (~v135(constB10)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33632,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB10) | v142(constB10) | (~v135(constB10)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33633,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB10) | v142(constB10) | (~v135(constB10))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33632, 33631])).
% 51.79/34.29 tff(33634,plain,
% 51.79/34.29 (v138(constB10) | (~v135(constB10))),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33633, 13509, 33630])).
% 51.79/34.29 tff(33635,plain,
% 51.79/34.29 (~v135(constB10)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33634, 33622])).
% 51.79/34.29 tff(33636,plain,
% 51.79/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33637,plain,
% 51.79/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33638,plain,
% 51.79/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33637, 33636])).
% 51.79/34.29 tff(33639,plain,
% 51.79/34.29 (v135(constB10) | (~v137(constB11))),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33638, 13524, 1718])).
% 51.79/34.29 tff(33640,plain,
% 51.79/34.29 (~v137(constB11)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33639, 33635])).
% 51.79/34.29 tff(33641,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB11) | (~v154(constB11)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB11) | (~v154(constB11)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33642,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB11) | (~v154(constB11)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33643,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB11) | (~v154(constB11))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33642, 33641])).
% 51.79/34.29 tff(33644,plain,
% 51.79/34.29 (~v154(constB11)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33643, 13595, 33640])).
% 51.79/34.29 tff(33645,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB11)) | (~v153(constB11)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB11)) | (~v153(constB11)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33646,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB11)) | (~v153(constB11)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33647,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB11)) | (~v153(constB11))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33646, 33645])).
% 51.79/34.29 tff(33648,plain,
% 51.79/34.29 (~v153(constB11)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33647, 13640, 33198])).
% 51.79/34.29 tff(33649,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB11) | v154(constB11) | (~v150(constB11)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB11) | v154(constB11) | (~v150(constB11)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33650,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB11) | v154(constB11) | (~v150(constB11)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33651,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB11) | v154(constB11) | (~v150(constB11))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33650, 33649])).
% 51.79/34.29 tff(33652,plain,
% 51.79/34.29 (v154(constB11) | (~v150(constB11))),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33651, 13654, 33648])).
% 51.79/34.29 tff(33653,plain,
% 51.79/34.29 (~v150(constB11)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33652, 33644])).
% 51.79/34.29 tff(33654,plain,
% 51.79/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33655,plain,
% 51.79/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.29 tff(33656,plain,
% 51.79/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12))),
% 51.79/34.29 inference(modus_ponens,[status(thm)],[33655, 33654])).
% 51.79/34.29 tff(33657,plain,
% 51.79/34.29 (v150(constB11) | (~v152(constB12))),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33656, 13669, 1882])).
% 51.79/34.29 tff(33658,plain,
% 51.79/34.29 (~v152(constB12)),
% 51.79/34.29 inference(unit_resolution,[status(thm)],[33657, 33653])).
% 51.79/34.29 tff(33659,plain,
% 51.79/34.29 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB12) | (~v153(constB12)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB12) | (~v153(constB12)))),
% 51.79/34.29 inference(rewrite,[status(thm)],[])).
% 51.79/34.29 tff(33660,plain,
% 51.79/34.29 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB12) | (~v153(constB12)))),
% 51.79/34.29 inference(quant_inst,[status(thm)],[])).
% 51.79/34.30 tff(33661,plain,
% 51.79/34.30 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB12) | (~v153(constB12))),
% 51.79/34.30 inference(modus_ponens,[status(thm)],[33660, 33659])).
% 51.79/34.30 tff(33662,plain,
% 51.79/34.30 (~v153(constB12)),
% 51.79/34.30 inference(unit_resolution,[status(thm)],[33661, 13684, 33658])).
% 51.79/34.30 tff(33663,plain,
% 51.79/34.30 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB12) | (~v155(constB12)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB12) | (~v155(constB12)))),
% 51.79/34.30 inference(rewrite,[status(thm)],[])).
% 51.79/34.30 tff(33664,plain,
% 51.79/34.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB12) | (~v155(constB12)))),
% 51.79/34.30 inference(quant_inst,[status(thm)],[])).
% 51.79/34.30 tff(33665,plain,
% 51.79/34.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB12) | (~v155(constB12))),
% 51.79/34.30 inference(modus_ponens,[status(thm)],[33664, 33663])).
% 51.79/34.30 tff(33666,plain,
% 51.79/34.30 (~v155(constB12)),
% 51.79/34.30 inference(unit_resolution,[status(thm)],[33665, 13702, 33220])).
% 51.79/34.30 tff(33667,plain,
% 51.79/34.30 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB12) | (~v154(constB12)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB12) | (~v154(constB12)))),
% 51.79/34.30 inference(rewrite,[status(thm)],[])).
% 51.79/34.30 tff(33668,plain,
% 51.79/34.30 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB12) | (~v154(constB12)))),
% 51.79/34.30 inference(quant_inst,[status(thm)],[])).
% 51.79/34.30 tff(33669,plain,
% 51.79/34.30 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB12) | (~v154(constB12))),
% 51.79/34.30 inference(modus_ponens,[status(thm)],[33668, 33667])).
% 51.79/34.30 tff(33670,plain,
% 51.79/34.30 (~v154(constB12)),
% 51.79/34.30 inference(unit_resolution,[status(thm)],[33669, 13716, 33666])).
% 51.79/34.30 tff(33671,plain,
% 51.79/34.30 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB12) | v154(constB12) | (~v150(constB12)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB12) | v154(constB12) | (~v150(constB12)))),
% 51.79/34.30 inference(rewrite,[status(thm)],[])).
% 51.79/34.30 tff(33672,plain,
% 51.79/34.30 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB12) | v154(constB12) | (~v150(constB12)))),
% 51.79/34.30 inference(quant_inst,[status(thm)],[])).
% 51.79/34.30 tff(33673,plain,
% 51.79/34.30 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB12) | v154(constB12) | (~v150(constB12))),
% 51.79/34.30 inference(modus_ponens,[status(thm)],[33672, 33671])).
% 51.79/34.30 tff(33674,plain,
% 51.79/34.30 (v153(constB12) | (~v150(constB12))),
% 51.79/34.30 inference(unit_resolution,[status(thm)],[33673, 13654, 33670])).
% 51.79/34.30 tff(33675,plain,
% 51.79/34.30 (~v150(constB12)),
% 51.79/34.30 inference(unit_resolution,[status(thm)],[33674, 33662])).
% 51.79/34.30 tff(33676,plain,
% 51.79/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13)))),
% 51.79/34.30 inference(rewrite,[status(thm)],[])).
% 51.79/34.30 tff(33677,plain,
% 51.79/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13)))),
% 51.79/34.30 inference(quant_inst,[status(thm)],[])).
% 51.79/34.30 tff(33678,plain,
% 51.79/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13))),
% 51.79/34.30 inference(modus_ponens,[status(thm)],[33677, 33676])).
% 51.79/34.30 tff(33679,plain,
% 51.79/34.30 (v150(constB12) | (~v152(constB13))),
% 51.79/34.30 inference(unit_resolution,[status(thm)],[33678, 13669, 1951])).
% 51.79/34.30 tff(33680,plain,
% 51.79/34.30 (~v152(constB13)),
% 51.79/34.30 inference(unit_resolution,[status(thm)],[33679, 33675])).
% 51.79/34.30 tff(33681,plain,
% 51.79/34.30 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB13) | (~v164(constB13)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB13) | (~v164(constB13)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33682,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB13) | (~v164(constB13)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33683,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB13) | (~v164(constB13))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33682, 33681])).
% 51.81/34.30 tff(33684,plain,
% 51.81/34.30 (~v164(constB13)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33683, 13740, 33680])).
% 51.81/34.30 tff(33685,plain,
% 51.81/34.30 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB13) | v164(constB13) | (~v160(constB13)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB13) | v164(constB13) | (~v160(constB13)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33686,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB13) | v164(constB13) | (~v160(constB13)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33687,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB13) | v164(constB13) | (~v160(constB13))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33686, 33685])).
% 51.81/34.30 tff(33688,plain,
% 51.81/34.30 (v163(constB13) | (~v160(constB13))),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33687, 13754, 33684])).
% 51.81/34.30 tff(33689,plain,
% 51.81/34.30 (~v160(constB13)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33688, 33558])).
% 51.81/34.30 tff(33690,plain,
% 51.81/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33691,plain,
% 51.81/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33692,plain,
% 51.81/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33691, 33690])).
% 51.81/34.30 tff(33693,plain,
% 51.81/34.30 (v160(constB13) | (~v162(constB14))),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33692, 13769, 2088])).
% 51.81/34.30 tff(33694,plain,
% 51.81/34.30 (~v162(constB14)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33693, 33689])).
% 51.81/34.30 tff(33695,plain,
% 51.81/34.30 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB14) | (~v163(constB14)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB14) | (~v163(constB14)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33696,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB14) | (~v163(constB14)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33697,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB14) | (~v163(constB14))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33696, 33695])).
% 51.81/34.30 tff(33698,plain,
% 51.81/34.30 (~v163(constB14)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33697, 13784, 33694])).
% 51.81/34.30 tff(33699,plain,
% 51.81/34.30 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB14) | (~v155(constB14)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB14) | (~v155(constB14)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33700,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB14) | (~v155(constB14)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33701,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB14) | (~v155(constB14))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33700, 33699])).
% 51.81/34.30 tff(33702,plain,
% 51.81/34.30 (~v155(constB14)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33701, 13702, 33260])).
% 51.81/34.30 tff(33703,plain,
% 51.81/34.30 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB14) | (~v164(constB14)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB14) | (~v164(constB14)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33704,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB14) | (~v164(constB14)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33705,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB14) | (~v164(constB14))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33704, 33703])).
% 51.81/34.30 tff(33706,plain,
% 51.81/34.30 (~v164(constB14)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33705, 13806, 33702])).
% 51.81/34.30 tff(33707,plain,
% 51.81/34.30 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB14) | v164(constB14) | (~v160(constB14)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB14) | v164(constB14) | (~v160(constB14)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33708,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB14) | v164(constB14) | (~v160(constB14)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33709,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB14) | v164(constB14) | (~v160(constB14))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33708, 33707])).
% 51.81/34.30 tff(33710,plain,
% 51.81/34.30 (v163(constB14) | (~v160(constB14))),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33709, 13754, 33706])).
% 51.81/34.30 tff(33711,plain,
% 51.81/34.30 (~v160(constB14)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33710, 33698])).
% 51.81/34.30 tff(33712,plain,
% 51.81/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33713,plain,
% 51.81/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33714,plain,
% 51.81/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33713, 33712])).
% 51.81/34.30 tff(33715,plain,
% 51.81/34.30 (v160(constB14) | (~v162(constB15))),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33714, 13769, 2150])).
% 51.81/34.30 tff(33716,plain,
% 51.81/34.30 (~v162(constB15)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33715, 33711])).
% 51.81/34.30 tff(33717,plain,
% 51.81/34.30 ($false),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33716, 33520])).
% 51.81/34.30 tff(33718,plain,(~(constB15 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.81/34.30 tff(33719,assumption,(constB154 = sK0_VarCurr), introduced(assumption)).
% 51.81/34.30 tff(33720,plain,
% 51.81/34.30 (v1(constB154) <=> v1(sK0_VarCurr)),
% 51.81/34.30 inference(monotonicity,[status(thm)],[33719])).
% 51.81/34.30 tff(33721,plain,
% 51.81/34.30 (v1(sK0_VarCurr) <=> v1(constB154)),
% 51.81/34.30 inference(symmetry,[status(thm)],[33720])).
% 51.81/34.30 tff(33722,plain,
% 51.81/34.30 ((~v1(sK0_VarCurr)) <=> (~v1(constB154))),
% 51.81/34.30 inference(monotonicity,[status(thm)],[33721])).
% 51.81/34.30 tff(33723,plain,
% 51.81/34.30 (~v1(constB154)),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[25725, 33722])).
% 51.81/34.30 tff(33724,plain,
% 51.81/34.30 ($false),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[19652, 33723])).
% 51.81/34.30 tff(33725,plain,(~(constB154 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.81/34.30 tff(33726,assumption,(constB152 = sK0_VarCurr), introduced(assumption)).
% 51.81/34.30 tff(33727,plain,
% 51.81/34.30 (v1(constB152) <=> v1(sK0_VarCurr)),
% 51.81/34.30 inference(monotonicity,[status(thm)],[33726])).
% 51.81/34.30 tff(33728,plain,
% 51.81/34.30 (v1(sK0_VarCurr) <=> v1(constB152)),
% 51.81/34.30 inference(symmetry,[status(thm)],[33727])).
% 51.81/34.30 tff(33729,plain,
% 51.81/34.30 ((~v1(sK0_VarCurr)) <=> (~v1(constB152))),
% 51.81/34.30 inference(monotonicity,[status(thm)],[33728])).
% 51.81/34.30 tff(33730,plain,
% 51.81/34.30 (~v1(constB152)),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[25725, 33729])).
% 51.81/34.30 tff(33731,plain,
% 51.81/34.30 ($false),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[19463, 33730])).
% 51.81/34.30 tff(33732,plain,(~(constB152 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.81/34.30 tff(33733,assumption,(constB75 = sK0_VarCurr), introduced(assumption)).
% 51.81/34.30 tff(33734,plain,
% 51.81/34.30 (v162(constB75) <=> v162(sK0_VarCurr)),
% 51.81/34.30 inference(monotonicity,[status(thm)],[33733])).
% 51.81/34.30 tff(33735,plain,
% 51.81/34.30 (v162(sK0_VarCurr) <=> v162(constB75)),
% 51.81/34.30 inference(symmetry,[status(thm)],[33734])).
% 51.81/34.30 tff(33736,plain,
% 51.81/34.30 (v162(constB75)),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[13315, 33735])).
% 51.81/34.30 tff(33737,plain,
% 51.81/34.30 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB69)) | (~v84(constB69, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB69)) | (~v84(constB69, bitIndex1)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33738,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB69)) | (~v84(constB69, bitIndex1)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33739,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB69)) | (~v84(constB69, bitIndex1))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33738, 33737])).
% 51.81/34.30 tff(33740,plain,
% 51.81/34.30 (~v145(constB69)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33739, 1091, 9066])).
% 51.81/34.30 tff(33741,plain,
% 51.81/34.30 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB69) | (~v144(constB69)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB69) | (~v144(constB69)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33742,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB69) | (~v144(constB69)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33743,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB69) | (~v144(constB69))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33742, 33741])).
% 51.81/34.30 tff(33744,plain,
% 51.81/34.30 (~v144(constB69)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33743, 13439, 33740])).
% 51.81/34.30 tff(33745,plain,
% 51.81/34.30 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB69) | (~v142(constB69)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB69) | (~v142(constB69)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33746,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB69) | (~v142(constB69)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33747,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB69) | (~v142(constB69))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33746, 33745])).
% 51.81/34.30 tff(33748,plain,
% 51.81/34.30 (~v142(constB69)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33747, 13453, 33744])).
% 51.81/34.30 tff(33749,assumption,(v18(constB70)), introduced(assumption)).
% 51.81/34.30 tff(33750,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB70))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33751,plain,
% 51.81/34.30 ($false),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33750, 13324, 33749])).
% 51.81/34.30 tff(33752,plain,(~v18(constB70)), inference(lemma,lemma(discharge,[]))).
% 51.81/34.30 tff(33753,plain,
% 51.81/34.30 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB70) | (~v1(constB70)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB70) | (~v1(constB70)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33754,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB70) | (~v1(constB70)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33755,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB70) | (~v1(constB70))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33754, 33753])).
% 51.81/34.30 tff(33756,plain,
% 51.81/34.30 (v22(constB70)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33755, 13337, 9186])).
% 51.81/34.30 tff(33757,plain,
% 51.81/34.30 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB70) | (~v22(constB70)) | (~v19(constB70)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB70) | (~v22(constB70)) | (~v19(constB70)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33758,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB70) | (~v22(constB70)) | (~v19(constB70)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33759,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB70) | (~v22(constB70)) | (~v19(constB70))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33758, 33757])).
% 51.81/34.30 tff(33760,plain,
% 51.81/34.30 (v18(constB70) | (~v19(constB70))),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33759, 13351, 33756])).
% 51.81/34.30 tff(33761,plain,
% 51.81/34.30 (~v19(constB70)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33760, 33752])).
% 51.81/34.30 tff(33762,plain,
% 51.81/34.30 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB70) | v19(constB70))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB70) | v19(constB70))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33763,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB70) | v19(constB70))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33764,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB70) | v19(constB70)),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33763, 33762])).
% 51.81/34.30 tff(33765,plain,
% 51.81/34.30 (v13(constB70)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33764, 13363, 33761])).
% 51.81/34.30 tff(33766,plain,
% 51.81/34.30 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70)))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33767,plain,
% 51.81/34.30 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70)))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33768,plain,
% 51.81/34.30 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70))),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33767, 33766])).
% 51.81/34.30 tff(33769,plain,
% 51.81/34.30 (v9(constB69) | (~v13(constB70))),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33768, 13377, 9166])).
% 51.81/34.30 tff(33770,plain,
% 51.81/34.30 (v9(constB69)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33769, 33765])).
% 51.81/34.30 tff(33771,plain,
% 51.81/34.30 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB69) | (~v9(constB69)) | v141(constB69))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB69) | (~v9(constB69)) | v141(constB69))),
% 51.81/34.30 inference(rewrite,[status(thm)],[])).
% 51.81/34.30 tff(33772,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB69) | (~v9(constB69)) | v141(constB69))),
% 51.81/34.30 inference(quant_inst,[status(thm)],[])).
% 51.81/34.30 tff(33773,plain,
% 51.81/34.30 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB69) | (~v9(constB69)) | v141(constB69)),
% 51.81/34.30 inference(modus_ponens,[status(thm)],[33772, 33771])).
% 51.81/34.30 tff(33774,plain,
% 51.81/34.30 ((~v9(constB69)) | v141(constB69)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33773, 13392, 9011])).
% 51.81/34.30 tff(33775,plain,
% 51.81/34.30 (v141(constB69)),
% 51.81/34.30 inference(unit_resolution,[status(thm)],[33774, 33770])).
% 51.81/34.31 tff(33776,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB69) | (~v141(constB69)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB69) | (~v141(constB69)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33777,plain,
% 51.81/34.31 (((~v141(constB69)) | v140(constB69)) <=> (v140(constB69) | (~v141(constB69)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33778,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB69)) | v140(constB69))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB69) | (~v141(constB69))))),
% 51.81/34.31 inference(monotonicity,[status(thm)],[33777])).
% 51.81/34.31 tff(33779,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB69)) | v140(constB69))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB69) | (~v141(constB69)))),
% 51.81/34.31 inference(transitivity,[status(thm)],[33778, 33776])).
% 51.81/34.31 tff(33780,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB69)) | v140(constB69))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33781,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB69) | (~v141(constB69))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33780, 33779])).
% 51.81/34.31 tff(33782,plain,
% 51.81/34.31 (v140(constB69)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33781, 13404, 33775])).
% 51.81/34.31 tff(33783,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB69)) | (~v140(constB69)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB69)) | (~v140(constB69)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33784,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB69)) | (~v140(constB69)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33785,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB69)) | (~v140(constB69))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33784, 33783])).
% 51.81/34.31 tff(33786,plain,
% 51.81/34.31 (~v138(constB69)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33785, 13495, 33782])).
% 51.81/34.31 tff(33787,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB69) | v142(constB69) | (~v135(constB69)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB69) | v142(constB69) | (~v135(constB69)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33788,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB69) | v142(constB69) | (~v135(constB69)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33789,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB69) | v142(constB69) | (~v135(constB69))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33788, 33787])).
% 51.81/34.31 tff(33790,plain,
% 51.81/34.31 (v142(constB69) | (~v135(constB69))),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33789, 13509, 33786])).
% 51.81/34.31 tff(33791,plain,
% 51.81/34.31 (~v135(constB69)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33790, 33748])).
% 51.81/34.31 tff(33792,plain,
% 51.81/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33793,plain,
% 51.81/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33794,plain,
% 51.81/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33793, 33792])).
% 51.81/34.31 tff(33795,plain,
% 51.81/34.31 (v135(constB69) | (~v137(constB70))),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33794, 13524, 9166])).
% 51.81/34.31 tff(33796,plain,
% 51.81/34.31 (~v137(constB70)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33795, 33791])).
% 51.81/34.31 tff(33797,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB70) | (~v138(constB70)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB70) | (~v138(constB70)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33798,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB70) | (~v138(constB70)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33799,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB70) | (~v138(constB70))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33798, 33797])).
% 51.81/34.31 tff(33800,plain,
% 51.81/34.31 (~v138(constB70)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33799, 13539, 33796])).
% 51.81/34.31 tff(33801,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB70)) | (~v141(constB70)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB70)) | (~v141(constB70)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33802,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB70)) | (~v141(constB70)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33803,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB70)) | (~v141(constB70))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33802, 33801])).
% 51.81/34.31 tff(33804,plain,
% 51.81/34.31 (~v141(constB70)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33803, 13553, 9186])).
% 51.81/34.31 tff(33805,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB70) | (~v144(constB70)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB70) | (~v144(constB70)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33806,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB70) | (~v144(constB70)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33807,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB70) | (~v144(constB70))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33806, 33805])).
% 51.81/34.31 tff(33808,plain,
% 51.81/34.31 (~v144(constB70)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33807, 13567, 33804])).
% 51.81/34.31 tff(33809,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB70) | (~v142(constB70)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB70) | (~v142(constB70)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33810,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB70) | (~v142(constB70)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33811,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB70) | (~v142(constB70))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33810, 33809])).
% 51.81/34.31 tff(33812,plain,
% 51.81/34.31 (~v142(constB70)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33811, 13453, 33808])).
% 51.81/34.31 tff(33813,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB70) | v142(constB70) | (~v135(constB70)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB70) | v142(constB70) | (~v135(constB70)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33814,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB70) | v142(constB70) | (~v135(constB70)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33815,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB70) | v142(constB70) | (~v135(constB70))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33814, 33813])).
% 51.81/34.31 tff(33816,plain,
% 51.81/34.31 (v138(constB70) | (~v135(constB70))),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33815, 13509, 33812])).
% 51.81/34.31 tff(33817,plain,
% 51.81/34.31 (~v135(constB70)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33816, 33800])).
% 51.81/34.31 tff(33818,plain,
% 51.81/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33819,plain,
% 51.81/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33820,plain,
% 51.81/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33819, 33818])).
% 51.81/34.31 tff(33821,plain,
% 51.81/34.31 (v135(constB70) | (~v137(constB71))),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33820, 13524, 9228])).
% 51.81/34.31 tff(33822,plain,
% 51.81/34.31 (~v137(constB71)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33821, 33817])).
% 51.81/34.31 tff(33823,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB71) | (~v154(constB71)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB71) | (~v154(constB71)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33824,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB71) | (~v154(constB71)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33825,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB71) | (~v154(constB71))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33824, 33823])).
% 51.81/34.31 tff(33826,plain,
% 51.81/34.31 (~v154(constB71)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33825, 13595, 33822])).
% 51.81/34.31 tff(33827,assumption,(v18(constB72)), introduced(assumption)).
% 51.81/34.31 tff(33828,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB72))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33829,plain,
% 51.81/34.31 ($false),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33828, 13324, 33827])).
% 51.81/34.31 tff(33830,plain,(~v18(constB72)), inference(lemma,lemma(discharge,[]))).
% 51.81/34.31 tff(33831,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB72) | (~v1(constB72)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB72) | (~v1(constB72)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33832,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB72) | (~v1(constB72)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33833,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB72) | (~v1(constB72))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33832, 33831])).
% 51.81/34.31 tff(33834,plain,
% 51.81/34.31 (v22(constB72)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33833, 13337, 9393])).
% 51.81/34.31 tff(33835,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB72) | (~v22(constB72)) | (~v19(constB72)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB72) | (~v22(constB72)) | (~v19(constB72)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33836,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB72) | (~v22(constB72)) | (~v19(constB72)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33837,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB72) | (~v22(constB72)) | (~v19(constB72))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33836, 33835])).
% 51.81/34.31 tff(33838,plain,
% 51.81/34.31 (v18(constB72) | (~v19(constB72))),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33837, 13351, 33834])).
% 51.81/34.31 tff(33839,plain,
% 51.81/34.31 (~v19(constB72)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33838, 33830])).
% 51.81/34.31 tff(33840,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB72) | v19(constB72))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB72) | v19(constB72))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33841,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB72) | v19(constB72))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33842,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB72) | v19(constB72)),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33841, 33840])).
% 51.81/34.31 tff(33843,plain,
% 51.81/34.31 (v13(constB72)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33842, 13363, 33839])).
% 51.81/34.31 tff(33844,plain,
% 51.81/34.31 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB71) | (~v13(constB72)) | (~nextState(constB71, constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB71) | (~v13(constB72)) | (~nextState(constB71, constB72)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33845,plain,
% 51.81/34.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB71) | (~v13(constB72)) | (~nextState(constB71, constB72)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33846,plain,
% 51.81/34.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB71) | (~v13(constB72)) | (~nextState(constB71, constB72))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33845, 33844])).
% 51.81/34.31 tff(33847,plain,
% 51.81/34.31 (v9(constB71) | (~v13(constB72))),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33846, 13377, 9367])).
% 51.81/34.31 tff(33848,plain,
% 51.81/34.31 (v9(constB71)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33847, 33843])).
% 51.81/34.31 tff(33849,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB71) | (~v9(constB71)) | v141(constB71))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB71) | (~v9(constB71)) | v141(constB71))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33850,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB71) | (~v9(constB71)) | v141(constB71))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33851,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB71) | (~v9(constB71)) | v141(constB71)),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33850, 33849])).
% 51.81/34.31 tff(33852,plain,
% 51.81/34.31 ((~v9(constB71)) | v141(constB71)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33851, 13392, 9225])).
% 51.81/34.31 tff(33853,plain,
% 51.81/34.31 (v141(constB71)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33852, 33848])).
% 51.81/34.31 tff(33854,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB71) | (~v141(constB71)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB71) | (~v141(constB71)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33855,plain,
% 51.81/34.31 (((~v141(constB71)) | v140(constB71)) <=> (v140(constB71) | (~v141(constB71)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33856,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB71)) | v140(constB71))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB71) | (~v141(constB71))))),
% 51.81/34.31 inference(monotonicity,[status(thm)],[33855])).
% 51.81/34.31 tff(33857,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB71)) | v140(constB71))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB71) | (~v141(constB71)))),
% 51.81/34.31 inference(transitivity,[status(thm)],[33856, 33854])).
% 51.81/34.31 tff(33858,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB71)) | v140(constB71))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33859,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB71) | (~v141(constB71))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33858, 33857])).
% 51.81/34.31 tff(33860,plain,
% 51.81/34.31 (v140(constB71)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33859, 13404, 33853])).
% 51.81/34.31 tff(33861,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB71)) | (~v153(constB71)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB71)) | (~v153(constB71)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33862,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB71)) | (~v153(constB71)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33863,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB71)) | (~v153(constB71))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33862, 33861])).
% 51.81/34.31 tff(33864,plain,
% 51.81/34.31 (~v153(constB71)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33863, 13640, 33860])).
% 51.81/34.31 tff(33865,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB71) | v154(constB71) | (~v150(constB71)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB71) | v154(constB71) | (~v150(constB71)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33866,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB71) | v154(constB71) | (~v150(constB71)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33867,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB71) | v154(constB71) | (~v150(constB71))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33866, 33865])).
% 51.81/34.31 tff(33868,plain,
% 51.81/34.31 (v154(constB71) | (~v150(constB71))),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33867, 13654, 33864])).
% 51.81/34.31 tff(33869,plain,
% 51.81/34.31 (~v150(constB71)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33868, 33826])).
% 51.81/34.31 tff(33870,plain,
% 51.81/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33871,plain,
% 51.81/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33872,plain,
% 51.81/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33871, 33870])).
% 51.81/34.31 tff(33873,plain,
% 51.81/34.31 (v150(constB71) | (~v152(constB72))),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33872, 13669, 9367])).
% 51.81/34.31 tff(33874,plain,
% 51.81/34.31 (~v152(constB72)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33873, 33869])).
% 51.81/34.31 tff(33875,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB72) | (~v153(constB72)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB72) | (~v153(constB72)))),
% 51.81/34.31 inference(rewrite,[status(thm)],[])).
% 51.81/34.31 tff(33876,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB72) | (~v153(constB72)))),
% 51.81/34.31 inference(quant_inst,[status(thm)],[])).
% 51.81/34.31 tff(33877,plain,
% 51.81/34.31 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB72) | (~v153(constB72))),
% 51.81/34.31 inference(modus_ponens,[status(thm)],[33876, 33875])).
% 51.81/34.31 tff(33878,plain,
% 51.81/34.31 (~v153(constB72)),
% 51.81/34.31 inference(unit_resolution,[status(thm)],[33877, 13684, 33874])).
% 51.81/34.31 tff(33879,plain,
% 51.81/34.31 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB72)) | (~v141(constB72)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB72)) | (~v141(constB72)))),
% 51.81/34.32 inference(rewrite,[status(thm)],[])).
% 51.81/34.32 tff(33880,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB72)) | (~v141(constB72)))),
% 51.81/34.32 inference(quant_inst,[status(thm)],[])).
% 51.81/34.32 tff(33881,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB72)) | (~v141(constB72))),
% 51.81/34.32 inference(modus_ponens,[status(thm)],[33880, 33879])).
% 51.81/34.32 tff(33882,plain,
% 51.81/34.32 (~v141(constB72)),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33881, 13553, 9393])).
% 51.81/34.32 tff(33883,plain,
% 51.81/34.32 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB72) | (~v155(constB72)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB72) | (~v155(constB72)))),
% 51.81/34.32 inference(rewrite,[status(thm)],[])).
% 51.81/34.32 tff(33884,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB72) | (~v155(constB72)))),
% 51.81/34.32 inference(quant_inst,[status(thm)],[])).
% 51.81/34.32 tff(33885,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB72) | (~v155(constB72))),
% 51.81/34.32 inference(modus_ponens,[status(thm)],[33884, 33883])).
% 51.81/34.32 tff(33886,plain,
% 51.81/34.32 (~v155(constB72)),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33885, 13702, 33882])).
% 51.81/34.32 tff(33887,plain,
% 51.81/34.32 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB72) | (~v154(constB72)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB72) | (~v154(constB72)))),
% 51.81/34.32 inference(rewrite,[status(thm)],[])).
% 51.81/34.32 tff(33888,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB72) | (~v154(constB72)))),
% 51.81/34.32 inference(quant_inst,[status(thm)],[])).
% 51.81/34.32 tff(33889,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB72) | (~v154(constB72))),
% 51.81/34.32 inference(modus_ponens,[status(thm)],[33888, 33887])).
% 51.81/34.32 tff(33890,plain,
% 51.81/34.32 (~v154(constB72)),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33889, 13716, 33886])).
% 51.81/34.32 tff(33891,plain,
% 51.81/34.32 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB72) | v154(constB72) | (~v150(constB72)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB72) | v154(constB72) | (~v150(constB72)))),
% 51.81/34.32 inference(rewrite,[status(thm)],[])).
% 51.81/34.32 tff(33892,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB72) | v154(constB72) | (~v150(constB72)))),
% 51.81/34.32 inference(quant_inst,[status(thm)],[])).
% 51.81/34.32 tff(33893,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB72) | v154(constB72) | (~v150(constB72))),
% 51.81/34.32 inference(modus_ponens,[status(thm)],[33892, 33891])).
% 51.81/34.32 tff(33894,plain,
% 51.81/34.32 (v153(constB72) | (~v150(constB72))),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33893, 13654, 33890])).
% 51.81/34.32 tff(33895,plain,
% 51.81/34.32 (~v150(constB72)),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33894, 33878])).
% 51.81/34.32 tff(33896,plain,
% 51.81/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73)))),
% 51.81/34.32 inference(rewrite,[status(thm)],[])).
% 51.81/34.32 tff(33897,plain,
% 51.81/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73)))),
% 51.81/34.32 inference(quant_inst,[status(thm)],[])).
% 51.81/34.32 tff(33898,plain,
% 51.81/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73))),
% 51.81/34.32 inference(modus_ponens,[status(thm)],[33897, 33896])).
% 51.81/34.32 tff(33899,plain,
% 51.81/34.32 (v150(constB72) | (~v152(constB73))),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33898, 13669, 9431])).
% 51.81/34.32 tff(33900,plain,
% 51.81/34.32 (~v152(constB73)),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33899, 33895])).
% 51.81/34.32 tff(33901,plain,
% 51.81/34.32 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB73) | (~v164(constB73)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB73) | (~v164(constB73)))),
% 51.81/34.32 inference(rewrite,[status(thm)],[])).
% 51.81/34.32 tff(33902,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB73) | (~v164(constB73)))),
% 51.81/34.32 inference(quant_inst,[status(thm)],[])).
% 51.81/34.32 tff(33903,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB73) | (~v164(constB73))),
% 51.81/34.32 inference(modus_ponens,[status(thm)],[33902, 33901])).
% 51.81/34.32 tff(33904,plain,
% 51.81/34.32 (~v164(constB73)),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33903, 13740, 33900])).
% 51.81/34.32 tff(33905,assumption,(v18(constB74)), introduced(assumption)).
% 51.81/34.32 tff(33906,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB74))),
% 51.81/34.32 inference(quant_inst,[status(thm)],[])).
% 51.81/34.32 tff(33907,plain,
% 51.81/34.32 ($false),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33906, 13324, 33905])).
% 51.81/34.32 tff(33908,plain,(~v18(constB74)), inference(lemma,lemma(discharge,[]))).
% 51.81/34.32 tff(33909,plain,
% 51.81/34.32 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74)))),
% 51.81/34.32 inference(rewrite,[status(thm)],[])).
% 51.81/34.32 tff(33910,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))),
% 51.81/34.32 inference(quant_inst,[status(thm)],[])).
% 51.81/34.32 tff(33911,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74))),
% 51.81/34.32 inference(modus_ponens,[status(thm)],[33910, 33909])).
% 51.81/34.32 tff(33912,plain,
% 51.81/34.32 (v22(constB74)),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33911, 13337, 9589])).
% 51.81/34.32 tff(33913,plain,
% 51.81/34.32 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB74) | (~v22(constB74)) | (~v19(constB74)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB74) | (~v22(constB74)) | (~v19(constB74)))),
% 51.81/34.32 inference(rewrite,[status(thm)],[])).
% 51.81/34.32 tff(33914,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB74) | (~v22(constB74)) | (~v19(constB74)))),
% 51.81/34.32 inference(quant_inst,[status(thm)],[])).
% 51.81/34.32 tff(33915,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB74) | (~v22(constB74)) | (~v19(constB74))),
% 51.81/34.32 inference(modus_ponens,[status(thm)],[33914, 33913])).
% 51.81/34.32 tff(33916,plain,
% 51.81/34.32 (v18(constB74) | (~v19(constB74))),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33915, 13351, 33912])).
% 51.81/34.32 tff(33917,plain,
% 51.81/34.32 (~v19(constB74)),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33916, 33908])).
% 51.81/34.32 tff(33918,plain,
% 51.81/34.32 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74))),
% 51.81/34.32 inference(rewrite,[status(thm)],[])).
% 51.81/34.32 tff(33919,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))),
% 51.81/34.32 inference(quant_inst,[status(thm)],[])).
% 51.81/34.32 tff(33920,plain,
% 51.81/34.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74)),
% 51.81/34.32 inference(modus_ponens,[status(thm)],[33919, 33918])).
% 51.81/34.32 tff(33921,plain,
% 51.81/34.32 (v13(constB74)),
% 51.81/34.32 inference(unit_resolution,[status(thm)],[33920, 13363, 33917])).
% 51.81/34.32 tff(33922,plain,
% 51.81/34.32 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33923,plain,
% 51.83/34.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33924,plain,
% 51.83/34.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74))),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33923, 33922])).
% 51.83/34.32 tff(33925,plain,
% 51.83/34.32 (v9(constB73) | (~v13(constB74))),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33924, 13377, 9569])).
% 51.83/34.32 tff(33926,plain,
% 51.83/34.32 (v9(constB73)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33925, 33921])).
% 51.83/34.32 tff(33927,plain,
% 51.83/34.32 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v141(constB73))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB73) | (~v9(constB73)) | v141(constB73))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33928,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v141(constB73))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33929,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB73) | (~v9(constB73)) | v141(constB73)),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33928, 33927])).
% 51.83/34.32 tff(33930,plain,
% 51.83/34.32 ((~v9(constB73)) | v141(constB73)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33929, 13392, 9428])).
% 51.83/34.32 tff(33931,plain,
% 51.83/34.32 (v141(constB73)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33930, 33926])).
% 51.83/34.32 tff(33932,plain,
% 51.83/34.32 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB73)) | v140(constB73))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB73)) | v140(constB73))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33933,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB73)) | v140(constB73))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33934,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB73)) | v140(constB73)),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33933, 33932])).
% 51.83/34.32 tff(33935,plain,
% 51.83/34.32 (v140(constB73)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33934, 13404, 33931])).
% 51.83/34.32 tff(33936,plain,
% 51.83/34.32 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB73)) | (~v163(constB73)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB73)) | (~v163(constB73)))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33937,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB73)) | (~v163(constB73)))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33938,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB73)) | (~v163(constB73))),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33937, 33936])).
% 51.83/34.32 tff(33939,plain,
% 51.83/34.32 (~v163(constB73)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33938, 13421, 33935])).
% 51.83/34.32 tff(33940,plain,
% 51.83/34.32 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB73) | v164(constB73) | (~v160(constB73)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB73) | v164(constB73) | (~v160(constB73)))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33941,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB73) | v164(constB73) | (~v160(constB73)))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33942,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB73) | v164(constB73) | (~v160(constB73))),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33941, 33940])).
% 51.83/34.32 tff(33943,plain,
% 51.83/34.32 (v164(constB73) | (~v160(constB73))),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33942, 13754, 33939])).
% 51.83/34.32 tff(33944,plain,
% 51.83/34.32 (~v160(constB73)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33943, 33904])).
% 51.83/34.32 tff(33945,plain,
% 51.83/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74)))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33946,plain,
% 51.83/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74)))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33947,plain,
% 51.83/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74))),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33946, 33945])).
% 51.83/34.32 tff(33948,plain,
% 51.83/34.32 (v160(constB73) | (~v162(constB74))),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33947, 13769, 9569])).
% 51.83/34.32 tff(33949,plain,
% 51.83/34.32 (~v162(constB74)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33948, 33944])).
% 51.83/34.32 tff(33950,plain,
% 51.83/34.32 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB74) | (~v163(constB74)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB74) | (~v163(constB74)))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33951,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB74) | (~v163(constB74)))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33952,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB74) | (~v163(constB74))),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33951, 33950])).
% 51.83/34.32 tff(33953,plain,
% 51.83/34.32 (~v163(constB74)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33952, 13784, 33949])).
% 51.83/34.32 tff(33954,plain,
% 51.83/34.32 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB74)) | (~v141(constB74)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB74)) | (~v141(constB74)))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33955,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB74)) | (~v141(constB74)))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33956,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB74)) | (~v141(constB74))),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33955, 33954])).
% 51.83/34.32 tff(33957,plain,
% 51.83/34.32 (~v141(constB74)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33956, 13553, 9589])).
% 51.83/34.32 tff(33958,plain,
% 51.83/34.32 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB74) | (~v155(constB74)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB74) | (~v155(constB74)))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33959,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB74) | (~v155(constB74)))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33960,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB74) | (~v155(constB74))),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33959, 33958])).
% 51.83/34.32 tff(33961,plain,
% 51.83/34.32 (~v155(constB74)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33960, 13702, 33957])).
% 51.83/34.32 tff(33962,plain,
% 51.83/34.32 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB74) | (~v164(constB74)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB74) | (~v164(constB74)))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33963,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB74) | (~v164(constB74)))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33964,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB74) | (~v164(constB74))),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33963, 33962])).
% 51.83/34.32 tff(33965,plain,
% 51.83/34.32 (~v164(constB74)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33964, 13806, 33961])).
% 51.83/34.32 tff(33966,plain,
% 51.83/34.32 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB74) | v164(constB74) | (~v160(constB74)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB74) | v164(constB74) | (~v160(constB74)))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33967,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB74) | v164(constB74) | (~v160(constB74)))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33968,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB74) | v164(constB74) | (~v160(constB74))),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33967, 33966])).
% 51.83/34.32 tff(33969,plain,
% 51.83/34.32 (v163(constB74) | (~v160(constB74))),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33968, 13754, 33965])).
% 51.83/34.32 tff(33970,plain,
% 51.83/34.32 (~v160(constB74)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33969, 33953])).
% 51.83/34.32 tff(33971,plain,
% 51.83/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75)))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33972,plain,
% 51.83/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75)))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33973,plain,
% 51.83/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75))),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33972, 33971])).
% 51.83/34.32 tff(33974,plain,
% 51.83/34.32 (v160(constB74) | (~v162(constB75))),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33973, 13769, 9631])).
% 51.83/34.32 tff(33975,plain,
% 51.83/34.32 (~v162(constB75)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33974, 33970])).
% 51.83/34.32 tff(33976,plain,
% 51.83/34.32 ($false),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33975, 33736])).
% 51.83/34.32 tff(33977,plain,(~(constB75 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.32 tff(33978,assumption,(constB127 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.32 tff(33979,plain,
% 51.83/34.32 (v162(constB127) <=> v162(sK0_VarCurr)),
% 51.83/34.32 inference(monotonicity,[status(thm)],[33978])).
% 51.83/34.32 tff(33980,plain,
% 51.83/34.32 (v162(sK0_VarCurr) <=> v162(constB127)),
% 51.83/34.32 inference(symmetry,[status(thm)],[33979])).
% 51.83/34.32 tff(33981,plain,
% 51.83/34.32 (v162(constB127)),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[13315, 33980])).
% 51.83/34.32 tff(33982,plain,
% 51.83/34.32 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB121)) | (~v84(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB121)) | (~v84(constB121, bitIndex1)))),
% 51.83/34.32 inference(rewrite,[status(thm)],[])).
% 51.83/34.32 tff(33983,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB121)) | (~v84(constB121, bitIndex1)))),
% 51.83/34.32 inference(quant_inst,[status(thm)],[])).
% 51.83/34.32 tff(33984,plain,
% 51.83/34.32 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB121)) | (~v84(constB121, bitIndex1))),
% 51.83/34.32 inference(modus_ponens,[status(thm)],[33983, 33982])).
% 51.83/34.32 tff(33985,plain,
% 51.83/34.32 (~v145(constB121)),
% 51.83/34.32 inference(unit_resolution,[status(thm)],[33984, 1091, 15656])).
% 51.83/34.32 tff(33986,plain,
% 51.83/34.32 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB121) | (~v144(constB121)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB121) | (~v144(constB121)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(33987,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB121) | (~v144(constB121)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(33988,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB121) | (~v144(constB121))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[33987, 33986])).
% 51.83/34.33 tff(33989,plain,
% 51.83/34.33 (~v144(constB121)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[33988, 13439, 33985])).
% 51.83/34.33 tff(33990,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB121) | (~v142(constB121)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB121) | (~v142(constB121)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(33991,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB121) | (~v142(constB121)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(33992,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB121) | (~v142(constB121))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[33991, 33990])).
% 51.83/34.33 tff(33993,plain,
% 51.83/34.33 (~v142(constB121)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[33992, 13453, 33989])).
% 51.83/34.33 tff(33994,assumption,(v18(constB122)), introduced(assumption)).
% 51.83/34.33 tff(33995,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB122))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(33996,plain,
% 51.83/34.33 ($false),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[33995, 13324, 33994])).
% 51.83/34.33 tff(33997,plain,(~v18(constB122)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.33 tff(33998,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(33999,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34000,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[33999, 33998])).
% 51.83/34.33 tff(34001,plain,
% 51.83/34.33 (v22(constB122)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34000, 13337, 15755])).
% 51.83/34.33 tff(34002,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB122) | (~v22(constB122)) | (~v19(constB122)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB122) | (~v22(constB122)) | (~v19(constB122)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34003,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB122) | (~v22(constB122)) | (~v19(constB122)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34004,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB122) | (~v22(constB122)) | (~v19(constB122))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34003, 34002])).
% 51.83/34.33 tff(34005,plain,
% 51.83/34.33 (v18(constB122) | (~v19(constB122))),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34004, 13351, 34001])).
% 51.83/34.33 tff(34006,plain,
% 51.83/34.33 (~v19(constB122)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34005, 33997])).
% 51.83/34.33 tff(34007,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34008,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34009,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122)),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34008, 34007])).
% 51.83/34.33 tff(34010,plain,
% 51.83/34.33 (v13(constB122)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34009, 13363, 34006])).
% 51.83/34.33 tff(34011,plain,
% 51.83/34.33 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34012,plain,
% 51.83/34.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34013,plain,
% 51.83/34.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34012, 34011])).
% 51.83/34.33 tff(34014,plain,
% 51.83/34.33 (v9(constB121) | (~v13(constB122))),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34013, 13377, 15735])).
% 51.83/34.33 tff(34015,plain,
% 51.83/34.33 (v9(constB121)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34014, 34010])).
% 51.83/34.33 tff(34016,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v141(constB121))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB121) | (~v9(constB121)) | v141(constB121))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34017,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v141(constB121))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34018,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB121) | (~v9(constB121)) | v141(constB121)),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34017, 34016])).
% 51.83/34.33 tff(34019,plain,
% 51.83/34.33 ((~v9(constB121)) | v141(constB121)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34018, 13392, 15601])).
% 51.83/34.33 tff(34020,plain,
% 51.83/34.33 (v141(constB121)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34019, 34015])).
% 51.83/34.33 tff(34021,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB121)) | v140(constB121))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB121)) | v140(constB121))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34022,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB121)) | v140(constB121))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34023,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB121)) | v140(constB121)),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34022, 34021])).
% 51.83/34.33 tff(34024,plain,
% 51.83/34.33 (v140(constB121)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34023, 13404, 34020])).
% 51.83/34.33 tff(34025,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB121)) | (~v140(constB121)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB121)) | (~v140(constB121)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34026,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB121)) | (~v140(constB121)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34027,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB121)) | (~v140(constB121))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34026, 34025])).
% 51.83/34.33 tff(34028,plain,
% 51.83/34.33 (~v138(constB121)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34027, 13495, 34024])).
% 51.83/34.33 tff(34029,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB121) | v142(constB121) | (~v135(constB121)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB121) | v142(constB121) | (~v135(constB121)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34030,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB121) | v142(constB121) | (~v135(constB121)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34031,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB121) | v142(constB121) | (~v135(constB121))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34030, 34029])).
% 51.83/34.33 tff(34032,plain,
% 51.83/34.33 (v142(constB121) | (~v135(constB121))),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34031, 13509, 34028])).
% 51.83/34.33 tff(34033,plain,
% 51.83/34.33 (~v135(constB121)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34032, 33993])).
% 51.83/34.33 tff(34034,plain,
% 51.83/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34035,plain,
% 51.83/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34036,plain,
% 51.83/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34035, 34034])).
% 51.83/34.33 tff(34037,plain,
% 51.83/34.33 (v135(constB121) | (~v137(constB122))),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34036, 13524, 15735])).
% 51.83/34.33 tff(34038,plain,
% 51.83/34.33 (~v137(constB122)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34037, 34033])).
% 51.83/34.33 tff(34039,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB122) | (~v138(constB122)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB122) | (~v138(constB122)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34040,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB122) | (~v138(constB122)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34041,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB122) | (~v138(constB122))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34040, 34039])).
% 51.83/34.33 tff(34042,plain,
% 51.83/34.33 (~v138(constB122)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34041, 13539, 34038])).
% 51.83/34.33 tff(34043,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB122)) | (~v141(constB122)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB122)) | (~v141(constB122)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34044,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB122)) | (~v141(constB122)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34045,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB122)) | (~v141(constB122))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34044, 34043])).
% 51.83/34.33 tff(34046,plain,
% 51.83/34.33 (~v141(constB122)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34045, 13553, 15755])).
% 51.83/34.33 tff(34047,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB122) | (~v144(constB122)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB122) | (~v144(constB122)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34048,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB122) | (~v144(constB122)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34049,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB122) | (~v144(constB122))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34048, 34047])).
% 51.83/34.33 tff(34050,plain,
% 51.83/34.33 (~v144(constB122)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34049, 13567, 34046])).
% 51.83/34.33 tff(34051,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB122) | (~v142(constB122)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB122) | (~v142(constB122)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34052,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB122) | (~v142(constB122)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34053,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB122) | (~v142(constB122))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34052, 34051])).
% 51.83/34.33 tff(34054,plain,
% 51.83/34.33 (~v142(constB122)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34053, 13453, 34050])).
% 51.83/34.33 tff(34055,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB122) | v142(constB122) | (~v135(constB122)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB122) | v142(constB122) | (~v135(constB122)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34056,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB122) | v142(constB122) | (~v135(constB122)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34057,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB122) | v142(constB122) | (~v135(constB122))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34056, 34055])).
% 51.83/34.33 tff(34058,plain,
% 51.83/34.33 (v138(constB122) | (~v135(constB122))),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34057, 13509, 34054])).
% 51.83/34.33 tff(34059,plain,
% 51.83/34.33 (~v135(constB122)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34058, 34042])).
% 51.83/34.33 tff(34060,plain,
% 51.83/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34061,plain,
% 51.83/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34062,plain,
% 51.83/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34061, 34060])).
% 51.83/34.33 tff(34063,plain,
% 51.83/34.33 (v135(constB122) | (~v137(constB123))),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34062, 13524, 15797])).
% 51.83/34.33 tff(34064,plain,
% 51.83/34.33 (~v137(constB123)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34063, 34059])).
% 51.83/34.33 tff(34065,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB123) | (~v154(constB123)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB123) | (~v154(constB123)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34066,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB123) | (~v154(constB123)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34067,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB123) | (~v154(constB123))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34066, 34065])).
% 51.83/34.33 tff(34068,plain,
% 51.83/34.33 (~v154(constB123)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34067, 13595, 34064])).
% 51.83/34.33 tff(34069,assumption,(v18(constB124)), introduced(assumption)).
% 51.83/34.33 tff(34070,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB124))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34071,plain,
% 51.83/34.33 ($false),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34070, 13324, 34069])).
% 51.83/34.33 tff(34072,plain,(~v18(constB124)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.33 tff(34073,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB124) | (~v1(constB124)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB124) | (~v1(constB124)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34074,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB124) | (~v1(constB124)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34075,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB124) | (~v1(constB124))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34074, 34073])).
% 51.83/34.33 tff(34076,plain,
% 51.83/34.33 (v22(constB124)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34075, 13337, 15944])).
% 51.83/34.33 tff(34077,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB124) | (~v22(constB124)) | (~v19(constB124)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB124) | (~v22(constB124)) | (~v19(constB124)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34078,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB124) | (~v22(constB124)) | (~v19(constB124)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34079,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB124) | (~v22(constB124)) | (~v19(constB124))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34078, 34077])).
% 51.83/34.33 tff(34080,plain,
% 51.83/34.33 (v18(constB124) | (~v19(constB124))),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34079, 13351, 34076])).
% 51.83/34.33 tff(34081,plain,
% 51.83/34.33 (~v19(constB124)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34080, 34072])).
% 51.83/34.33 tff(34082,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB124) | v19(constB124))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB124) | v19(constB124))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34083,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB124) | v19(constB124))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34084,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB124) | v19(constB124)),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34083, 34082])).
% 51.83/34.33 tff(34085,plain,
% 51.83/34.33 (v13(constB124)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34084, 13363, 34081])).
% 51.83/34.33 tff(34086,plain,
% 51.83/34.33 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB123) | (~v13(constB124)) | (~nextState(constB123, constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB123) | (~v13(constB124)) | (~nextState(constB123, constB124)))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34087,plain,
% 51.83/34.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB123) | (~v13(constB124)) | (~nextState(constB123, constB124)))),
% 51.83/34.33 inference(quant_inst,[status(thm)],[])).
% 51.83/34.33 tff(34088,plain,
% 51.83/34.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB123) | (~v13(constB124)) | (~nextState(constB123, constB124))),
% 51.83/34.33 inference(modus_ponens,[status(thm)],[34087, 34086])).
% 51.83/34.33 tff(34089,plain,
% 51.83/34.33 (v9(constB123) | (~v13(constB124))),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34088, 13377, 15924])).
% 51.83/34.33 tff(34090,plain,
% 51.83/34.33 (v9(constB123)),
% 51.83/34.33 inference(unit_resolution,[status(thm)],[34089, 34085])).
% 51.83/34.33 tff(34091,plain,
% 51.83/34.33 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB123) | (~v9(constB123)) | v141(constB123))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB123) | (~v9(constB123)) | v141(constB123))),
% 51.83/34.33 inference(rewrite,[status(thm)],[])).
% 51.83/34.33 tff(34092,plain,
% 51.83/34.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB123) | (~v9(constB123)) | v141(constB123))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34093,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB123) | (~v9(constB123)) | v141(constB123)),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34092, 34091])).
% 51.83/34.34 tff(34094,plain,
% 51.83/34.34 ((~v9(constB123)) | v141(constB123)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34093, 13392, 15794])).
% 51.83/34.34 tff(34095,plain,
% 51.83/34.34 (v141(constB123)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34094, 34090])).
% 51.83/34.34 tff(34096,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB123)) | v140(constB123))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB123)) | v140(constB123))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34097,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB123)) | v140(constB123))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34098,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB123)) | v140(constB123)),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34097, 34096])).
% 51.83/34.34 tff(34099,plain,
% 51.83/34.34 (v140(constB123)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34098, 13404, 34095])).
% 51.83/34.34 tff(34100,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB123)) | (~v153(constB123)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB123)) | (~v153(constB123)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34101,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB123)) | (~v153(constB123)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34102,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB123)) | (~v153(constB123))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34101, 34100])).
% 51.83/34.34 tff(34103,plain,
% 51.83/34.34 (~v153(constB123)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34102, 13640, 34099])).
% 51.83/34.34 tff(34104,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB123) | v154(constB123) | (~v150(constB123)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB123) | v154(constB123) | (~v150(constB123)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34105,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB123) | v154(constB123) | (~v150(constB123)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34106,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB123) | v154(constB123) | (~v150(constB123))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34105, 34104])).
% 51.83/34.34 tff(34107,plain,
% 51.83/34.34 (v154(constB123) | (~v150(constB123))),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34106, 13654, 34103])).
% 51.83/34.34 tff(34108,plain,
% 51.83/34.34 (~v150(constB123)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34107, 34068])).
% 51.83/34.34 tff(34109,plain,
% 51.83/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34110,plain,
% 51.83/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34111,plain,
% 51.83/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34110, 34109])).
% 51.83/34.34 tff(34112,plain,
% 51.83/34.34 (v150(constB123) | (~v152(constB124))),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34111, 13669, 15924])).
% 51.83/34.34 tff(34113,plain,
% 51.83/34.34 (~v152(constB124)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34112, 34108])).
% 51.83/34.34 tff(34114,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB124) | (~v153(constB124)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB124) | (~v153(constB124)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34115,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB124) | (~v153(constB124)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34116,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB124) | (~v153(constB124))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34115, 34114])).
% 51.83/34.34 tff(34117,plain,
% 51.83/34.34 (~v153(constB124)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34116, 13684, 34113])).
% 51.83/34.34 tff(34118,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB124)) | (~v141(constB124)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB124)) | (~v141(constB124)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34119,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB124)) | (~v141(constB124)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34120,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB124)) | (~v141(constB124))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34119, 34118])).
% 51.83/34.34 tff(34121,plain,
% 51.83/34.34 (~v141(constB124)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34120, 13553, 15944])).
% 51.83/34.34 tff(34122,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB124) | (~v155(constB124)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB124) | (~v155(constB124)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34123,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB124) | (~v155(constB124)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34124,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB124) | (~v155(constB124))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34123, 34122])).
% 51.83/34.34 tff(34125,plain,
% 51.83/34.34 (~v155(constB124)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34124, 13702, 34121])).
% 51.83/34.34 tff(34126,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB124) | (~v154(constB124)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB124) | (~v154(constB124)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34127,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB124) | (~v154(constB124)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34128,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB124) | (~v154(constB124))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34127, 34126])).
% 51.83/34.34 tff(34129,plain,
% 51.83/34.34 (~v154(constB124)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34128, 13716, 34125])).
% 51.83/34.34 tff(34130,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB124) | v154(constB124) | (~v150(constB124)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB124) | v154(constB124) | (~v150(constB124)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34131,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB124) | v154(constB124) | (~v150(constB124)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34132,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB124) | v154(constB124) | (~v150(constB124))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34131, 34130])).
% 51.83/34.34 tff(34133,plain,
% 51.83/34.34 (v153(constB124) | (~v150(constB124))),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34132, 13654, 34129])).
% 51.83/34.34 tff(34134,plain,
% 51.83/34.34 (~v150(constB124)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34133, 34117])).
% 51.83/34.34 tff(34135,plain,
% 51.83/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34136,plain,
% 51.83/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34137,plain,
% 51.83/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34136, 34135])).
% 51.83/34.34 tff(34138,plain,
% 51.83/34.34 (v150(constB124) | (~v152(constB125))),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34137, 13669, 15986])).
% 51.83/34.34 tff(34139,plain,
% 51.83/34.34 (~v152(constB125)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34138, 34134])).
% 51.83/34.34 tff(34140,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB125) | (~v164(constB125)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB125) | (~v164(constB125)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34141,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB125) | (~v164(constB125)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34142,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB125) | (~v164(constB125))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34141, 34140])).
% 51.83/34.34 tff(34143,plain,
% 51.83/34.34 (~v164(constB125)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34142, 13740, 34139])).
% 51.83/34.34 tff(34144,assumption,(v18(constB126)), introduced(assumption)).
% 51.83/34.34 tff(34145,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB126))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34146,plain,
% 51.83/34.34 ($false),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34145, 13324, 34144])).
% 51.83/34.34 tff(34147,plain,(~v18(constB126)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.34 tff(34148,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB126) | (~v1(constB126)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB126) | (~v1(constB126)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34149,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB126) | (~v1(constB126)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34150,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB126) | (~v1(constB126))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34149, 34148])).
% 51.83/34.34 tff(34151,plain,
% 51.83/34.34 (v22(constB126)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34150, 13337, 16122])).
% 51.83/34.34 tff(34152,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB126) | (~v22(constB126)) | (~v19(constB126)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB126) | (~v22(constB126)) | (~v19(constB126)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34153,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB126) | (~v22(constB126)) | (~v19(constB126)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34154,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB126) | (~v22(constB126)) | (~v19(constB126))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34153, 34152])).
% 51.83/34.34 tff(34155,plain,
% 51.83/34.34 (v18(constB126) | (~v19(constB126))),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34154, 13351, 34151])).
% 51.83/34.34 tff(34156,plain,
% 51.83/34.34 (~v19(constB126)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34155, 34147])).
% 51.83/34.34 tff(34157,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB126) | v19(constB126))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB126) | v19(constB126))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34158,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB126) | v19(constB126))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34159,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB126) | v19(constB126)),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34158, 34157])).
% 51.83/34.34 tff(34160,plain,
% 51.83/34.34 (v13(constB126)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34159, 13363, 34156])).
% 51.83/34.34 tff(34161,plain,
% 51.83/34.34 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB125) | (~v13(constB126)) | (~nextState(constB125, constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB125) | (~v13(constB126)) | (~nextState(constB125, constB126)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34162,plain,
% 51.83/34.34 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB125) | (~v13(constB126)) | (~nextState(constB125, constB126)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34163,plain,
% 51.83/34.34 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB125) | (~v13(constB126)) | (~nextState(constB125, constB126))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34162, 34161])).
% 51.83/34.34 tff(34164,plain,
% 51.83/34.34 (v9(constB125) | (~v13(constB126))),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34163, 13377, 16102])).
% 51.83/34.34 tff(34165,plain,
% 51.83/34.34 (v9(constB125)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34164, 34160])).
% 51.83/34.34 tff(34166,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB125) | (~v9(constB125)) | v141(constB125))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB125) | (~v9(constB125)) | v141(constB125))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34167,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB125) | (~v9(constB125)) | v141(constB125))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34168,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB125) | (~v9(constB125)) | v141(constB125)),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34167, 34166])).
% 51.83/34.34 tff(34169,plain,
% 51.83/34.34 ((~v9(constB125)) | v141(constB125)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34168, 13392, 15983])).
% 51.83/34.34 tff(34170,plain,
% 51.83/34.34 (v141(constB125)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34169, 34165])).
% 51.83/34.34 tff(34171,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB125)) | v140(constB125))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB125)) | v140(constB125))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34172,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB125)) | v140(constB125))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34173,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB125)) | v140(constB125)),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34172, 34171])).
% 51.83/34.34 tff(34174,plain,
% 51.83/34.34 (v140(constB125)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34173, 13404, 34170])).
% 51.83/34.34 tff(34175,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB125)) | (~v163(constB125)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB125)) | (~v163(constB125)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34176,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB125)) | (~v163(constB125)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34177,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB125)) | (~v163(constB125))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34176, 34175])).
% 51.83/34.34 tff(34178,plain,
% 51.83/34.34 (~v163(constB125)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34177, 13421, 34174])).
% 51.83/34.34 tff(34179,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB125) | v164(constB125) | (~v160(constB125)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB125) | v164(constB125) | (~v160(constB125)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34180,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB125) | v164(constB125) | (~v160(constB125)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34181,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB125) | v164(constB125) | (~v160(constB125))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34180, 34179])).
% 51.83/34.34 tff(34182,plain,
% 51.83/34.34 (v164(constB125) | (~v160(constB125))),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34181, 13754, 34178])).
% 51.83/34.34 tff(34183,plain,
% 51.83/34.34 (~v160(constB125)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34182, 34143])).
% 51.83/34.34 tff(34184,plain,
% 51.83/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34185,plain,
% 51.83/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34186,plain,
% 51.83/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34185, 34184])).
% 51.83/34.34 tff(34187,plain,
% 51.83/34.34 (v160(constB125) | (~v162(constB126))),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34186, 13769, 16102])).
% 51.83/34.34 tff(34188,plain,
% 51.83/34.34 (~v162(constB126)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34187, 34183])).
% 51.83/34.34 tff(34189,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB126) | (~v163(constB126)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB126) | (~v163(constB126)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34190,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB126) | (~v163(constB126)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34191,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB126) | (~v163(constB126))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34190, 34189])).
% 51.83/34.34 tff(34192,plain,
% 51.83/34.34 (~v163(constB126)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34191, 13784, 34188])).
% 51.83/34.34 tff(34193,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB126)) | (~v141(constB126)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB126)) | (~v141(constB126)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34194,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB126)) | (~v141(constB126)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34195,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB126)) | (~v141(constB126))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34194, 34193])).
% 51.83/34.34 tff(34196,plain,
% 51.83/34.34 (~v141(constB126)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34195, 13553, 16122])).
% 51.83/34.34 tff(34197,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB126) | (~v155(constB126)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB126) | (~v155(constB126)))),
% 51.83/34.34 inference(rewrite,[status(thm)],[])).
% 51.83/34.34 tff(34198,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB126) | (~v155(constB126)))),
% 51.83/34.34 inference(quant_inst,[status(thm)],[])).
% 51.83/34.34 tff(34199,plain,
% 51.83/34.34 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB126) | (~v155(constB126))),
% 51.83/34.34 inference(modus_ponens,[status(thm)],[34198, 34197])).
% 51.83/34.34 tff(34200,plain,
% 51.83/34.34 (~v155(constB126)),
% 51.83/34.34 inference(unit_resolution,[status(thm)],[34199, 13702, 34196])).
% 51.83/34.34 tff(34201,plain,
% 51.83/34.34 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB126) | (~v164(constB126)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB126) | (~v164(constB126)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34202,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB126) | (~v164(constB126)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34203,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB126) | (~v164(constB126))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34202, 34201])).
% 51.83/34.35 tff(34204,plain,
% 51.83/34.35 (~v164(constB126)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34203, 13806, 34200])).
% 51.83/34.35 tff(34205,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB126) | v164(constB126) | (~v160(constB126)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB126) | v164(constB126) | (~v160(constB126)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34206,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB126) | v164(constB126) | (~v160(constB126)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34207,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB126) | v164(constB126) | (~v160(constB126))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34206, 34205])).
% 51.83/34.35 tff(34208,plain,
% 51.83/34.35 (v163(constB126) | (~v160(constB126))),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34207, 13754, 34204])).
% 51.83/34.35 tff(34209,plain,
% 51.83/34.35 (~v160(constB126)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34208, 34192])).
% 51.83/34.35 tff(34210,plain,
% 51.83/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34211,plain,
% 51.83/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34212,plain,
% 51.83/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34211, 34210])).
% 51.83/34.35 tff(34213,plain,
% 51.83/34.35 (v160(constB126) | (~v162(constB127))),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34212, 13769, 16191])).
% 51.83/34.35 tff(34214,plain,
% 51.83/34.35 (~v162(constB127)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34213, 34209])).
% 51.83/34.35 tff(34215,plain,
% 51.83/34.35 ($false),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34214, 33981])).
% 51.83/34.35 tff(34216,plain,(~(constB127 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.35 tff(34217,assumption,(constB81 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.35 tff(34218,plain,
% 51.83/34.35 (v162(constB81) <=> v162(sK0_VarCurr)),
% 51.83/34.35 inference(monotonicity,[status(thm)],[34217])).
% 51.83/34.35 tff(34219,plain,
% 51.83/34.35 (v162(sK0_VarCurr) <=> v162(constB81)),
% 51.83/34.35 inference(symmetry,[status(thm)],[34218])).
% 51.83/34.35 tff(34220,plain,
% 51.83/34.35 (v162(constB81)),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[13315, 34219])).
% 51.83/34.35 tff(34221,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB75) | (~v144(constB75)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB75) | (~v144(constB75)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34222,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB75) | (~v144(constB75)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34223,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB75) | (~v144(constB75))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34222, 34221])).
% 51.83/34.35 tff(34224,plain,
% 51.83/34.35 (~v144(constB75)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34223, 13439, 9695])).
% 51.83/34.35 tff(34225,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB75) | (~v142(constB75)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB75) | (~v142(constB75)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34226,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB75) | (~v142(constB75)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34227,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB75) | (~v142(constB75))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34226, 34225])).
% 51.83/34.35 tff(34228,plain,
% 51.83/34.35 (~v142(constB75)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34227, 13453, 34224])).
% 51.83/34.35 tff(34229,assumption,(v18(constB76)), introduced(assumption)).
% 51.83/34.35 tff(34230,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB76))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34231,plain,
% 51.83/34.35 ($false),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34230, 13324, 34229])).
% 51.83/34.35 tff(34232,plain,(~v18(constB76)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.35 tff(34233,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34234,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34235,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34234, 34233])).
% 51.83/34.35 tff(34236,plain,
% 51.83/34.35 (v22(constB76)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34235, 13337, 10014])).
% 51.83/34.35 tff(34237,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB76) | (~v22(constB76)) | (~v19(constB76)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB76) | (~v22(constB76)) | (~v19(constB76)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34238,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB76) | (~v22(constB76)) | (~v19(constB76)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34239,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB76) | (~v22(constB76)) | (~v19(constB76))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34238, 34237])).
% 51.83/34.35 tff(34240,plain,
% 51.83/34.35 (v18(constB76) | (~v19(constB76))),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34239, 13351, 34236])).
% 51.83/34.35 tff(34241,plain,
% 51.83/34.35 (~v19(constB76)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34240, 34232])).
% 51.83/34.35 tff(34242,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34243,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34244,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76)),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34243, 34242])).
% 51.83/34.35 tff(34245,plain,
% 51.83/34.35 (v13(constB76)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34244, 13363, 34241])).
% 51.83/34.35 tff(34246,plain,
% 51.83/34.35 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34247,plain,
% 51.83/34.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34248,plain,
% 51.83/34.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34247, 34246])).
% 51.83/34.35 tff(34249,plain,
% 51.83/34.35 (v9(constB75) | (~v13(constB76))),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34248, 13377, 9926])).
% 51.83/34.35 tff(34250,plain,
% 51.83/34.35 (v9(constB75)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34249, 34245])).
% 51.83/34.35 tff(34251,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v141(constB75))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB75) | (~v9(constB75)) | v141(constB75))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34252,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v141(constB75))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34253,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB75) | (~v9(constB75)) | v141(constB75)),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34252, 34251])).
% 51.83/34.35 tff(34254,plain,
% 51.83/34.35 ((~v9(constB75)) | v141(constB75)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34253, 13392, 9628])).
% 51.83/34.35 tff(34255,plain,
% 51.83/34.35 (v141(constB75)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34254, 34250])).
% 51.83/34.35 tff(34256,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB75)) | v140(constB75))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB75)) | v140(constB75))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34257,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB75)) | v140(constB75))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34258,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB75)) | v140(constB75)),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34257, 34256])).
% 51.83/34.35 tff(34259,plain,
% 51.83/34.35 (v140(constB75)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34258, 13404, 34255])).
% 51.83/34.35 tff(34260,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB75)) | (~v140(constB75)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB75)) | (~v140(constB75)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34261,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB75)) | (~v140(constB75)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34262,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB75)) | (~v140(constB75))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34261, 34260])).
% 51.83/34.35 tff(34263,plain,
% 51.83/34.35 (~v138(constB75)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34262, 13495, 34259])).
% 51.83/34.35 tff(34264,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB75) | v142(constB75) | (~v135(constB75)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB75) | v142(constB75) | (~v135(constB75)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34265,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB75) | v142(constB75) | (~v135(constB75)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34266,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB75) | v142(constB75) | (~v135(constB75))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34265, 34264])).
% 51.83/34.35 tff(34267,plain,
% 51.83/34.35 (v142(constB75) | (~v135(constB75))),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34266, 13509, 34263])).
% 51.83/34.35 tff(34268,plain,
% 51.83/34.35 (~v135(constB75)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34267, 34228])).
% 51.83/34.35 tff(34269,plain,
% 51.83/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB75, constB76)) | v135(constB75) | (~v137(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB75, constB76)) | v135(constB75) | (~v137(constB76)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34270,plain,
% 51.83/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB75, constB76)) | v135(constB75) | (~v137(constB76)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34271,plain,
% 51.83/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB75, constB76)) | v135(constB75) | (~v137(constB76))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34270, 34269])).
% 51.83/34.35 tff(34272,plain,
% 51.83/34.35 (v135(constB75) | (~v137(constB76))),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34271, 13524, 9926])).
% 51.83/34.35 tff(34273,plain,
% 51.83/34.35 (~v137(constB76)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34272, 34268])).
% 51.83/34.35 tff(34274,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB76) | (~v138(constB76)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB76) | (~v138(constB76)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34275,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB76) | (~v138(constB76)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34276,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB76) | (~v138(constB76))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34275, 34274])).
% 51.83/34.35 tff(34277,plain,
% 51.83/34.35 (~v138(constB76)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34276, 13539, 34273])).
% 51.83/34.35 tff(34278,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB76)) | (~v141(constB76)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB76)) | (~v141(constB76)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34279,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB76)) | (~v141(constB76)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34280,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB76)) | (~v141(constB76))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34279, 34278])).
% 51.83/34.35 tff(34281,plain,
% 51.83/34.35 (~v141(constB76)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34280, 13553, 10014])).
% 51.83/34.35 tff(34282,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB76) | (~v144(constB76)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB76) | (~v144(constB76)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34283,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB76) | (~v144(constB76)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34284,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB76) | (~v144(constB76))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34283, 34282])).
% 51.83/34.35 tff(34285,plain,
% 51.83/34.35 (~v144(constB76)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34284, 13567, 34281])).
% 51.83/34.35 tff(34286,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB76) | (~v142(constB76)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB76) | (~v142(constB76)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34287,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB76) | (~v142(constB76)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34288,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB76) | (~v142(constB76))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34287, 34286])).
% 51.83/34.35 tff(34289,plain,
% 51.83/34.35 (~v142(constB76)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34288, 13453, 34285])).
% 51.83/34.35 tff(34290,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB76) | v142(constB76) | (~v135(constB76)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB76) | v142(constB76) | (~v135(constB76)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34291,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB76) | v142(constB76) | (~v135(constB76)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34292,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB76) | v142(constB76) | (~v135(constB76))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34291, 34290])).
% 51.83/34.35 tff(34293,plain,
% 51.83/34.35 (v138(constB76) | (~v135(constB76))),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34292, 13509, 34289])).
% 51.83/34.35 tff(34294,plain,
% 51.83/34.35 (~v135(constB76)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34293, 34277])).
% 51.83/34.35 tff(34295,plain,
% 51.83/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB76, constB77)) | v135(constB76) | (~v137(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB76, constB77)) | v135(constB76) | (~v137(constB77)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34296,plain,
% 51.83/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB76, constB77)) | v135(constB76) | (~v137(constB77)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34297,plain,
% 51.83/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB76, constB77)) | v135(constB76) | (~v137(constB77))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34296, 34295])).
% 51.83/34.35 tff(34298,plain,
% 51.83/34.35 (v135(constB76) | (~v137(constB77))),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34297, 13524, 10227])).
% 51.83/34.35 tff(34299,plain,
% 51.83/34.35 (~v137(constB77)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34298, 34294])).
% 51.83/34.35 tff(34300,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB77) | (~v154(constB77)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB77) | (~v154(constB77)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34301,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB77) | (~v154(constB77)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34302,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB77) | (~v154(constB77))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34301, 34300])).
% 51.83/34.35 tff(34303,plain,
% 51.83/34.35 (~v154(constB77)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34302, 13595, 34299])).
% 51.83/34.35 tff(34304,assumption,(v18(constB78)), introduced(assumption)).
% 51.83/34.35 tff(34305,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB78))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34306,plain,
% 51.83/34.35 ($false),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34305, 13324, 34304])).
% 51.83/34.35 tff(34307,plain,(~v18(constB78)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.35 tff(34308,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34309,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34310,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34309, 34308])).
% 51.83/34.35 tff(34311,plain,
% 51.83/34.35 (v22(constB78)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34310, 13337, 10371])).
% 51.83/34.35 tff(34312,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB78) | (~v22(constB78)) | (~v19(constB78)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB78) | (~v22(constB78)) | (~v19(constB78)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34313,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB78) | (~v22(constB78)) | (~v19(constB78)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34314,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB78) | (~v22(constB78)) | (~v19(constB78))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34313, 34312])).
% 51.83/34.35 tff(34315,plain,
% 51.83/34.35 (v18(constB78) | (~v19(constB78))),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34314, 13351, 34311])).
% 51.83/34.35 tff(34316,plain,
% 51.83/34.35 (~v19(constB78)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34315, 34307])).
% 51.83/34.35 tff(34317,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34318,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34319,plain,
% 51.83/34.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78)),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34318, 34317])).
% 51.83/34.35 tff(34320,plain,
% 51.83/34.35 (v13(constB78)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34319, 13363, 34316])).
% 51.83/34.35 tff(34321,plain,
% 51.83/34.35 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))),
% 51.83/34.35 inference(rewrite,[status(thm)],[])).
% 51.83/34.35 tff(34322,plain,
% 51.83/34.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))),
% 51.83/34.35 inference(quant_inst,[status(thm)],[])).
% 51.83/34.35 tff(34323,plain,
% 51.83/34.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78))),
% 51.83/34.35 inference(modus_ponens,[status(thm)],[34322, 34321])).
% 51.83/34.35 tff(34324,plain,
% 51.83/34.35 (v9(constB77) | (~v13(constB78))),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34323, 13377, 10351])).
% 51.83/34.35 tff(34325,plain,
% 51.83/34.35 (v9(constB77)),
% 51.83/34.35 inference(unit_resolution,[status(thm)],[34324, 34320])).
% 51.83/34.35 tff(34326,plain,
% 51.83/34.35 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v141(constB77))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB77) | (~v9(constB77)) | v141(constB77))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34327,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v141(constB77))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34328,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB77) | (~v9(constB77)) | v141(constB77)),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34327, 34326])).
% 51.83/34.36 tff(34329,plain,
% 51.83/34.36 ((~v9(constB77)) | v141(constB77)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34328, 13392, 10224])).
% 51.83/34.36 tff(34330,plain,
% 51.83/34.36 (v141(constB77)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34329, 34325])).
% 51.83/34.36 tff(34331,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB77)) | v140(constB77))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB77)) | v140(constB77))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34332,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB77)) | v140(constB77))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34333,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB77)) | v140(constB77)),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34332, 34331])).
% 51.83/34.36 tff(34334,plain,
% 51.83/34.36 (v140(constB77)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34333, 13404, 34330])).
% 51.83/34.36 tff(34335,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB77)) | (~v153(constB77)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB77)) | (~v153(constB77)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34336,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB77)) | (~v153(constB77)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34337,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB77)) | (~v153(constB77))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34336, 34335])).
% 51.83/34.36 tff(34338,plain,
% 51.83/34.36 (~v153(constB77)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34337, 13640, 34334])).
% 51.83/34.36 tff(34339,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB77) | v154(constB77) | (~v150(constB77)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB77) | v154(constB77) | (~v150(constB77)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34340,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB77) | v154(constB77) | (~v150(constB77)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34341,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB77) | v154(constB77) | (~v150(constB77))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34340, 34339])).
% 51.83/34.36 tff(34342,plain,
% 51.83/34.36 (v154(constB77) | (~v150(constB77))),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34341, 13654, 34338])).
% 51.83/34.36 tff(34343,plain,
% 51.83/34.36 (~v150(constB77)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34342, 34303])).
% 51.83/34.36 tff(34344,plain,
% 51.83/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB77, constB78)) | v150(constB77) | (~v152(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB77, constB78)) | v150(constB77) | (~v152(constB78)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34345,plain,
% 51.83/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB77, constB78)) | v150(constB77) | (~v152(constB78)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34346,plain,
% 51.83/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB77, constB78)) | v150(constB77) | (~v152(constB78))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34345, 34344])).
% 51.83/34.36 tff(34347,plain,
% 51.83/34.36 (v150(constB77) | (~v152(constB78))),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34346, 13669, 10351])).
% 51.83/34.36 tff(34348,plain,
% 51.83/34.36 (~v152(constB78)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34347, 34343])).
% 51.83/34.36 tff(34349,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB78) | (~v153(constB78)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB78) | (~v153(constB78)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34350,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB78) | (~v153(constB78)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34351,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB78) | (~v153(constB78))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34350, 34349])).
% 51.83/34.36 tff(34352,plain,
% 51.83/34.36 (~v153(constB78)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34351, 13684, 34348])).
% 51.83/34.36 tff(34353,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB78)) | (~v141(constB78)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB78)) | (~v141(constB78)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34354,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB78)) | (~v141(constB78)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34355,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB78)) | (~v141(constB78))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34354, 34353])).
% 51.83/34.36 tff(34356,plain,
% 51.83/34.36 (~v141(constB78)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34355, 13553, 10371])).
% 51.83/34.36 tff(34357,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB78) | (~v155(constB78)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB78) | (~v155(constB78)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34358,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB78) | (~v155(constB78)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34359,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB78) | (~v155(constB78))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34358, 34357])).
% 51.83/34.36 tff(34360,plain,
% 51.83/34.36 (~v155(constB78)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34359, 13702, 34356])).
% 51.83/34.36 tff(34361,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB78) | (~v154(constB78)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB78) | (~v154(constB78)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34362,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB78) | (~v154(constB78)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34363,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB78) | (~v154(constB78))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34362, 34361])).
% 51.83/34.36 tff(34364,plain,
% 51.83/34.36 (~v154(constB78)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34363, 13716, 34360])).
% 51.83/34.36 tff(34365,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB78) | v154(constB78) | (~v150(constB78)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB78) | v154(constB78) | (~v150(constB78)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34366,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB78) | v154(constB78) | (~v150(constB78)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34367,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB78) | v154(constB78) | (~v150(constB78))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34366, 34365])).
% 51.83/34.36 tff(34368,plain,
% 51.83/34.36 (v153(constB78) | (~v150(constB78))),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34367, 13654, 34364])).
% 51.83/34.36 tff(34369,plain,
% 51.83/34.36 (~v150(constB78)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34368, 34352])).
% 51.83/34.36 tff(34370,plain,
% 51.83/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB78, constB79)) | v150(constB78) | (~v152(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB78, constB79)) | v150(constB78) | (~v152(constB79)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34371,plain,
% 51.83/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB78, constB79)) | v150(constB78) | (~v152(constB79)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34372,plain,
% 51.83/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB78, constB79)) | v150(constB78) | (~v152(constB79))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34371, 34370])).
% 51.83/34.36 tff(34373,plain,
% 51.83/34.36 (v150(constB78) | (~v152(constB79))),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34372, 13669, 10413])).
% 51.83/34.36 tff(34374,plain,
% 51.83/34.36 (~v152(constB79)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34373, 34369])).
% 51.83/34.36 tff(34375,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB79) | (~v164(constB79)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB79) | (~v164(constB79)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34376,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB79) | (~v164(constB79)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34377,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB79) | (~v164(constB79))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34376, 34375])).
% 51.83/34.36 tff(34378,plain,
% 51.83/34.36 (~v164(constB79)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34377, 13740, 34374])).
% 51.83/34.36 tff(34379,assumption,(v18(constB80)), introduced(assumption)).
% 51.83/34.36 tff(34380,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB80))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34381,plain,
% 51.83/34.36 ($false),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34380, 13324, 34379])).
% 51.83/34.36 tff(34382,plain,(~v18(constB80)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.36 tff(34383,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34384,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34385,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34384, 34383])).
% 51.83/34.36 tff(34386,plain,
% 51.83/34.36 (v22(constB80)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34385, 13337, 10568])).
% 51.83/34.36 tff(34387,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB80) | (~v22(constB80)) | (~v19(constB80)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB80) | (~v22(constB80)) | (~v19(constB80)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34388,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB80) | (~v22(constB80)) | (~v19(constB80)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34389,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB80) | (~v22(constB80)) | (~v19(constB80))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34388, 34387])).
% 51.83/34.36 tff(34390,plain,
% 51.83/34.36 (v18(constB80) | (~v19(constB80))),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34389, 13351, 34386])).
% 51.83/34.36 tff(34391,plain,
% 51.83/34.36 (~v19(constB80)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34390, 34382])).
% 51.83/34.36 tff(34392,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34393,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34394,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80)),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34393, 34392])).
% 51.83/34.36 tff(34395,plain,
% 51.83/34.36 (v13(constB80)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34394, 13363, 34391])).
% 51.83/34.36 tff(34396,plain,
% 51.83/34.36 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34397,plain,
% 51.83/34.36 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34398,plain,
% 51.83/34.36 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34397, 34396])).
% 51.83/34.36 tff(34399,plain,
% 51.83/34.36 (v9(constB79) | (~v13(constB80))),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34398, 13377, 10548])).
% 51.83/34.36 tff(34400,plain,
% 51.83/34.36 (v9(constB79)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34399, 34395])).
% 51.83/34.36 tff(34401,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v141(constB79))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB79) | (~v9(constB79)) | v141(constB79))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34402,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v141(constB79))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34403,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB79) | (~v9(constB79)) | v141(constB79)),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34402, 34401])).
% 51.83/34.36 tff(34404,plain,
% 51.83/34.36 ((~v9(constB79)) | v141(constB79)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34403, 13392, 10410])).
% 51.83/34.36 tff(34405,plain,
% 51.83/34.36 (v141(constB79)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34404, 34400])).
% 51.83/34.36 tff(34406,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB79) | (~v141(constB79)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB79) | (~v141(constB79)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34407,plain,
% 51.83/34.36 (((~v141(constB79)) | v140(constB79)) <=> (v140(constB79) | (~v141(constB79)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34408,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB79)) | v140(constB79))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB79) | (~v141(constB79))))),
% 51.83/34.36 inference(monotonicity,[status(thm)],[34407])).
% 51.83/34.36 tff(34409,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB79)) | v140(constB79))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB79) | (~v141(constB79)))),
% 51.83/34.36 inference(transitivity,[status(thm)],[34408, 34406])).
% 51.83/34.36 tff(34410,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB79)) | v140(constB79))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34411,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB79) | (~v141(constB79))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34410, 34409])).
% 51.83/34.36 tff(34412,plain,
% 51.83/34.36 (v140(constB79)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34411, 13404, 34405])).
% 51.83/34.36 tff(34413,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB79)) | (~v163(constB79)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB79)) | (~v163(constB79)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34414,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB79)) | (~v163(constB79)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34415,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB79)) | (~v163(constB79))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34414, 34413])).
% 51.83/34.36 tff(34416,plain,
% 51.83/34.36 (~v163(constB79)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34415, 13421, 34412])).
% 51.83/34.36 tff(34417,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB79) | v164(constB79) | (~v160(constB79)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB79) | v164(constB79) | (~v160(constB79)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34418,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB79) | v164(constB79) | (~v160(constB79)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34419,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB79) | v164(constB79) | (~v160(constB79))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34418, 34417])).
% 51.83/34.36 tff(34420,plain,
% 51.83/34.36 (v164(constB79) | (~v160(constB79))),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34419, 13754, 34416])).
% 51.83/34.36 tff(34421,plain,
% 51.83/34.36 (~v160(constB79)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34420, 34378])).
% 51.83/34.36 tff(34422,plain,
% 51.83/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB79, constB80)) | v160(constB79) | (~v162(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB79, constB80)) | v160(constB79) | (~v162(constB80)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34423,plain,
% 51.83/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB79, constB80)) | v160(constB79) | (~v162(constB80)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34424,plain,
% 51.83/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB79, constB80)) | v160(constB79) | (~v162(constB80))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34423, 34422])).
% 51.83/34.36 tff(34425,plain,
% 51.83/34.36 (v160(constB79) | (~v162(constB80))),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34424, 13769, 10548])).
% 51.83/34.36 tff(34426,plain,
% 51.83/34.36 (~v162(constB80)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34425, 34421])).
% 51.83/34.36 tff(34427,plain,
% 51.83/34.36 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB80) | (~v163(constB80)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB80) | (~v163(constB80)))),
% 51.83/34.36 inference(rewrite,[status(thm)],[])).
% 51.83/34.36 tff(34428,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB80) | (~v163(constB80)))),
% 51.83/34.36 inference(quant_inst,[status(thm)],[])).
% 51.83/34.36 tff(34429,plain,
% 51.83/34.36 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB80) | (~v163(constB80))),
% 51.83/34.36 inference(modus_ponens,[status(thm)],[34428, 34427])).
% 51.83/34.36 tff(34430,plain,
% 51.83/34.36 (~v163(constB80)),
% 51.83/34.36 inference(unit_resolution,[status(thm)],[34429, 13784, 34426])).
% 51.83/34.36 tff(34431,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB80)) | (~v141(constB80)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB80)) | (~v141(constB80)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34432,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB80)) | (~v141(constB80)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34433,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB80)) | (~v141(constB80))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34432, 34431])).
% 51.83/34.37 tff(34434,plain,
% 51.83/34.37 (~v141(constB80)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34433, 13553, 10568])).
% 51.83/34.37 tff(34435,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB80) | (~v155(constB80)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB80) | (~v155(constB80)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34436,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB80) | (~v155(constB80)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34437,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB80) | (~v155(constB80))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34436, 34435])).
% 51.83/34.37 tff(34438,plain,
% 51.83/34.37 (~v155(constB80)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34437, 13702, 34434])).
% 51.83/34.37 tff(34439,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB80) | (~v164(constB80)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB80) | (~v164(constB80)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34440,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB80) | (~v164(constB80)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34441,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB80) | (~v164(constB80))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34440, 34439])).
% 51.83/34.37 tff(34442,plain,
% 51.83/34.37 (~v164(constB80)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34441, 13806, 34438])).
% 51.83/34.37 tff(34443,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB80) | v164(constB80) | (~v160(constB80)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB80) | v164(constB80) | (~v160(constB80)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34444,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB80) | v164(constB80) | (~v160(constB80)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34445,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB80) | v164(constB80) | (~v160(constB80))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34444, 34443])).
% 51.83/34.37 tff(34446,plain,
% 51.83/34.37 (v163(constB80) | (~v160(constB80))),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34445, 13754, 34442])).
% 51.83/34.37 tff(34447,plain,
% 51.83/34.37 (~v160(constB80)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34446, 34430])).
% 51.83/34.37 tff(34448,plain,
% 51.83/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB80, constB81)) | v160(constB80) | (~v162(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB80, constB81)) | v160(constB80) | (~v162(constB81)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34449,plain,
% 51.83/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB80, constB81)) | v160(constB80) | (~v162(constB81)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34450,plain,
% 51.83/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB80, constB81)) | v160(constB80) | (~v162(constB81))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34449, 34448])).
% 51.83/34.37 tff(34451,plain,
% 51.83/34.37 (v160(constB80) | (~v162(constB81))),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34450, 13769, 10610])).
% 51.83/34.37 tff(34452,plain,
% 51.83/34.37 (~v162(constB81)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34451, 34447])).
% 51.83/34.37 tff(34453,plain,
% 51.83/34.37 ($false),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34452, 34220])).
% 51.83/34.37 tff(34454,plain,(~(constB81 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.37 tff(34455,assumption,(constB58 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.37 tff(34456,plain,
% 51.83/34.37 (v1(constB58) <=> v1(sK0_VarCurr)),
% 51.83/34.37 inference(monotonicity,[status(thm)],[34455])).
% 51.83/34.37 tff(34457,plain,
% 51.83/34.37 (v1(sK0_VarCurr) <=> v1(constB58)),
% 51.83/34.37 inference(symmetry,[status(thm)],[34456])).
% 51.83/34.37 tff(34458,plain,
% 51.83/34.37 ((~v1(sK0_VarCurr)) <=> (~v1(constB58))),
% 51.83/34.37 inference(monotonicity,[status(thm)],[34457])).
% 51.83/34.37 tff(34459,plain,
% 51.83/34.37 (~v1(constB58)),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[25725, 34458])).
% 51.83/34.37 tff(34460,plain,
% 51.83/34.37 ($false),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[7965, 34459])).
% 51.83/34.37 tff(34461,plain,(~(constB58 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.37 tff(34462,assumption,(constB44 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.37 tff(34463,plain,
% 51.83/34.37 (v1(constB44) <=> v1(sK0_VarCurr)),
% 51.83/34.37 inference(monotonicity,[status(thm)],[34462])).
% 51.83/34.37 tff(34464,plain,
% 51.83/34.37 (v1(sK0_VarCurr) <=> v1(constB44)),
% 51.83/34.37 inference(symmetry,[status(thm)],[34463])).
% 51.83/34.37 tff(34465,plain,
% 51.83/34.37 ((~v1(sK0_VarCurr)) <=> (~v1(constB44))),
% 51.83/34.37 inference(monotonicity,[status(thm)],[34464])).
% 51.83/34.37 tff(34466,plain,
% 51.83/34.37 (~v1(constB44)),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[25725, 34465])).
% 51.83/34.37 tff(34467,plain,
% 51.83/34.37 ($false),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[6541, 34466])).
% 51.83/34.37 tff(34468,plain,(~(constB44 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.37 tff(34469,assumption,(constB46 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.37 tff(34470,plain,
% 51.83/34.37 (v1(constB46) <=> v1(sK0_VarCurr)),
% 51.83/34.37 inference(monotonicity,[status(thm)],[34469])).
% 51.83/34.37 tff(34471,plain,
% 51.83/34.37 (v1(sK0_VarCurr) <=> v1(constB46)),
% 51.83/34.37 inference(symmetry,[status(thm)],[34470])).
% 51.83/34.37 tff(34472,plain,
% 51.83/34.37 ((~v1(sK0_VarCurr)) <=> (~v1(constB46))),
% 51.83/34.37 inference(monotonicity,[status(thm)],[34471])).
% 51.83/34.37 tff(34473,plain,
% 51.83/34.37 (~v1(constB46)),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[25725, 34472])).
% 51.83/34.37 tff(34474,plain,
% 51.83/34.37 ($false),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[6716, 34473])).
% 51.83/34.37 tff(34475,plain,(~(constB46 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.37 tff(34476,assumption,(constB135 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.37 tff(34477,plain,
% 51.83/34.37 (v162(constB135) <=> v162(sK0_VarCurr)),
% 51.83/34.37 inference(monotonicity,[status(thm)],[34476])).
% 51.83/34.37 tff(34478,plain,
% 51.83/34.37 (v162(sK0_VarCurr) <=> v162(constB135)),
% 51.83/34.37 inference(symmetry,[status(thm)],[34477])).
% 51.83/34.37 tff(34479,plain,
% 51.83/34.37 (v162(constB135)),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[13315, 34478])).
% 51.83/34.37 tff(34480,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB129)) | (~v84(constB129, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB129)) | (~v84(constB129, bitIndex1)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34481,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB129)) | (~v84(constB129, bitIndex1)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34482,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB129)) | (~v84(constB129, bitIndex1))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34481, 34480])).
% 51.83/34.37 tff(34483,plain,
% 51.83/34.37 (~v145(constB129)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34482, 1091, 16456])).
% 51.83/34.37 tff(34484,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB129) | (~v144(constB129)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB129) | (~v144(constB129)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34485,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB129) | (~v144(constB129)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34486,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB129) | (~v144(constB129))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34485, 34484])).
% 51.83/34.37 tff(34487,plain,
% 51.83/34.37 (~v144(constB129)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34486, 13439, 34483])).
% 51.83/34.37 tff(34488,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB129) | (~v142(constB129)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB129) | (~v142(constB129)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34489,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB129) | (~v142(constB129)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34490,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB129) | (~v142(constB129))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34489, 34488])).
% 51.83/34.37 tff(34491,plain,
% 51.83/34.37 (~v142(constB129)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34490, 13453, 34487])).
% 51.83/34.37 tff(34492,assumption,(v18(constB130)), introduced(assumption)).
% 51.83/34.37 tff(34493,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB130))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34494,plain,
% 51.83/34.37 ($false),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34493, 13324, 34492])).
% 51.83/34.37 tff(34495,plain,(~v18(constB130)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.37 tff(34496,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34497,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34498,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34497, 34496])).
% 51.83/34.37 tff(34499,plain,
% 51.83/34.37 (v22(constB130)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34498, 13337, 16565])).
% 51.83/34.37 tff(34500,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB130) | (~v22(constB130)) | (~v19(constB130)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB130) | (~v22(constB130)) | (~v19(constB130)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34501,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB130) | (~v22(constB130)) | (~v19(constB130)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34502,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB130) | (~v22(constB130)) | (~v19(constB130))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34501, 34500])).
% 51.83/34.37 tff(34503,plain,
% 51.83/34.37 (v18(constB130) | (~v19(constB130))),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34502, 13351, 34499])).
% 51.83/34.37 tff(34504,plain,
% 51.83/34.37 (~v19(constB130)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34503, 34495])).
% 51.83/34.37 tff(34505,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34506,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34507,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130)),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34506, 34505])).
% 51.83/34.37 tff(34508,plain,
% 51.83/34.37 (v13(constB130)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34507, 13363, 34504])).
% 51.83/34.37 tff(34509,plain,
% 51.83/34.37 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34510,plain,
% 51.83/34.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34511,plain,
% 51.83/34.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34510, 34509])).
% 51.83/34.37 tff(34512,plain,
% 51.83/34.37 (v9(constB129) | (~v13(constB130))),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34511, 13377, 16545])).
% 51.83/34.37 tff(34513,plain,
% 51.83/34.37 (v9(constB129)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34512, 34508])).
% 51.83/34.37 tff(34514,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v141(constB129))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB129) | (~v9(constB129)) | v141(constB129))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34515,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v141(constB129))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34516,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB129) | (~v9(constB129)) | v141(constB129)),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34515, 34514])).
% 51.83/34.37 tff(34517,plain,
% 51.83/34.37 ((~v9(constB129)) | v141(constB129)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34516, 13392, 16401])).
% 51.83/34.37 tff(34518,plain,
% 51.83/34.37 (v141(constB129)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34517, 34513])).
% 51.83/34.37 tff(34519,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB129)) | v140(constB129))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB129)) | v140(constB129))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34520,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB129)) | v140(constB129))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34521,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB129)) | v140(constB129)),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34520, 34519])).
% 51.83/34.37 tff(34522,plain,
% 51.83/34.37 (v140(constB129)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34521, 13404, 34518])).
% 51.83/34.37 tff(34523,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB129)) | (~v140(constB129)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB129)) | (~v140(constB129)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34524,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB129)) | (~v140(constB129)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34525,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB129)) | (~v140(constB129))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34524, 34523])).
% 51.83/34.37 tff(34526,plain,
% 51.83/34.37 (~v138(constB129)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34525, 13495, 34522])).
% 51.83/34.37 tff(34527,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB129) | v142(constB129) | (~v135(constB129)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB129) | v142(constB129) | (~v135(constB129)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34528,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB129) | v142(constB129) | (~v135(constB129)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34529,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB129) | v142(constB129) | (~v135(constB129))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34528, 34527])).
% 51.83/34.37 tff(34530,plain,
% 51.83/34.37 (v142(constB129) | (~v135(constB129))),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34529, 13509, 34526])).
% 51.83/34.37 tff(34531,plain,
% 51.83/34.37 (~v135(constB129)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34530, 34491])).
% 51.83/34.37 tff(34532,plain,
% 51.83/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34533,plain,
% 51.83/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34534,plain,
% 51.83/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34533, 34532])).
% 51.83/34.37 tff(34535,plain,
% 51.83/34.37 (v135(constB129) | (~v137(constB130))),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34534, 13524, 16545])).
% 51.83/34.37 tff(34536,plain,
% 51.83/34.37 (~v137(constB130)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34535, 34531])).
% 51.83/34.37 tff(34537,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB130) | (~v138(constB130)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB130) | (~v138(constB130)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34538,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB130) | (~v138(constB130)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34539,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB130) | (~v138(constB130))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34538, 34537])).
% 51.83/34.37 tff(34540,plain,
% 51.83/34.37 (~v138(constB130)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34539, 13539, 34536])).
% 51.83/34.37 tff(34541,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB130)) | (~v141(constB130)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB130)) | (~v141(constB130)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34542,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB130)) | (~v141(constB130)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34543,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB130)) | (~v141(constB130))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34542, 34541])).
% 51.83/34.37 tff(34544,plain,
% 51.83/34.37 (~v141(constB130)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34543, 13553, 16565])).
% 51.83/34.37 tff(34545,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB130) | (~v144(constB130)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB130) | (~v144(constB130)))),
% 51.83/34.37 inference(rewrite,[status(thm)],[])).
% 51.83/34.37 tff(34546,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB130) | (~v144(constB130)))),
% 51.83/34.37 inference(quant_inst,[status(thm)],[])).
% 51.83/34.37 tff(34547,plain,
% 51.83/34.37 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB130) | (~v144(constB130))),
% 51.83/34.37 inference(modus_ponens,[status(thm)],[34546, 34545])).
% 51.83/34.37 tff(34548,plain,
% 51.83/34.37 (~v144(constB130)),
% 51.83/34.37 inference(unit_resolution,[status(thm)],[34547, 13567, 34544])).
% 51.83/34.37 tff(34549,plain,
% 51.83/34.37 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB130) | (~v142(constB130)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB130) | (~v142(constB130)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34550,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB130) | (~v142(constB130)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34551,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB130) | (~v142(constB130))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34550, 34549])).
% 51.83/34.38 tff(34552,plain,
% 51.83/34.38 (~v142(constB130)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34551, 13453, 34548])).
% 51.83/34.38 tff(34553,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB130) | v142(constB130) | (~v135(constB130)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB130) | v142(constB130) | (~v135(constB130)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34554,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB130) | v142(constB130) | (~v135(constB130)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34555,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB130) | v142(constB130) | (~v135(constB130))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34554, 34553])).
% 51.83/34.38 tff(34556,plain,
% 51.83/34.38 (v138(constB130) | (~v135(constB130))),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34555, 13509, 34552])).
% 51.83/34.38 tff(34557,plain,
% 51.83/34.38 (~v135(constB130)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34556, 34540])).
% 51.83/34.38 tff(34558,plain,
% 51.83/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34559,plain,
% 51.83/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34560,plain,
% 51.83/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34559, 34558])).
% 51.83/34.38 tff(34561,plain,
% 51.83/34.38 (v135(constB130) | (~v137(constB131))),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34560, 13524, 16607])).
% 51.83/34.38 tff(34562,plain,
% 51.83/34.38 (~v137(constB131)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34561, 34557])).
% 51.83/34.38 tff(34563,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB131) | (~v154(constB131)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB131) | (~v154(constB131)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34564,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB131) | (~v154(constB131)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34565,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB131) | (~v154(constB131))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34564, 34563])).
% 51.83/34.38 tff(34566,plain,
% 51.83/34.38 (~v154(constB131)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34565, 13595, 34562])).
% 51.83/34.38 tff(34567,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB131)) | (~v153(constB131)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB131)) | (~v153(constB131)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34568,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB131)) | (~v153(constB131)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34569,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB131)) | (~v153(constB131))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34568, 34567])).
% 51.83/34.38 tff(34570,plain,
% 51.83/34.38 (~v153(constB131)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34569, 13640, 27578])).
% 51.83/34.38 tff(34571,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB131) | v154(constB131) | (~v150(constB131)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB131) | v154(constB131) | (~v150(constB131)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34572,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB131) | v154(constB131) | (~v150(constB131)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34573,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB131) | v154(constB131) | (~v150(constB131))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34572, 34571])).
% 51.83/34.38 tff(34574,plain,
% 51.83/34.38 (v154(constB131) | (~v150(constB131))),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34573, 13654, 34570])).
% 51.83/34.38 tff(34575,plain,
% 51.83/34.38 (~v150(constB131)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34574, 34566])).
% 51.83/34.38 tff(34576,plain,
% 51.83/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34577,plain,
% 51.83/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34578,plain,
% 51.83/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34577, 34576])).
% 51.83/34.38 tff(34579,plain,
% 51.83/34.38 (v150(constB131) | (~v152(constB132))),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34578, 13669, 16706])).
% 51.83/34.38 tff(34580,plain,
% 51.83/34.38 (~v152(constB132)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34579, 34575])).
% 51.83/34.38 tff(34581,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB132) | (~v153(constB132)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB132) | (~v153(constB132)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34582,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB132) | (~v153(constB132)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34583,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB132) | (~v153(constB132))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34582, 34581])).
% 51.83/34.38 tff(34584,plain,
% 51.83/34.38 (~v153(constB132)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34583, 13684, 34580])).
% 51.83/34.38 tff(34585,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB132) | (~v155(constB132)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB132) | (~v155(constB132)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34586,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB132) | (~v155(constB132)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34587,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB132) | (~v155(constB132))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34586, 34585])).
% 51.83/34.38 tff(34588,plain,
% 51.83/34.38 (~v155(constB132)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34587, 13702, 27600])).
% 51.83/34.38 tff(34589,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB132) | (~v154(constB132)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB132) | (~v154(constB132)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34590,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB132) | (~v154(constB132)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34591,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB132) | (~v154(constB132))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34590, 34589])).
% 51.83/34.38 tff(34592,plain,
% 51.83/34.38 (~v154(constB132)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34591, 13716, 34588])).
% 51.83/34.38 tff(34593,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB132) | v154(constB132) | (~v150(constB132)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB132) | v154(constB132) | (~v150(constB132)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34594,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB132) | v154(constB132) | (~v150(constB132)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34595,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB132) | v154(constB132) | (~v150(constB132))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34594, 34593])).
% 51.83/34.38 tff(34596,plain,
% 51.83/34.38 (v153(constB132) | (~v150(constB132))),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34595, 13654, 34592])).
% 51.83/34.38 tff(34597,plain,
% 51.83/34.38 (~v150(constB132)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34596, 34584])).
% 51.83/34.38 tff(34598,plain,
% 51.83/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34599,plain,
% 51.83/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34600,plain,
% 51.83/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34599, 34598])).
% 51.83/34.38 tff(34601,plain,
% 51.83/34.38 (v150(constB132) | (~v152(constB133))),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34600, 13669, 16804])).
% 51.83/34.38 tff(34602,plain,
% 51.83/34.38 (~v152(constB133)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34601, 34597])).
% 51.83/34.38 tff(34603,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB133) | (~v164(constB133)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB133) | (~v164(constB133)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34604,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB133) | (~v164(constB133)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34605,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB133) | (~v164(constB133))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34604, 34603])).
% 51.83/34.38 tff(34606,plain,
% 51.83/34.38 (~v164(constB133)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34605, 13740, 34602])).
% 51.83/34.38 tff(34607,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB133)) | (~v163(constB133)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB133)) | (~v163(constB133)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34608,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB133)) | (~v163(constB133)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34609,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB133)) | (~v163(constB133))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34608, 34607])).
% 51.83/34.38 tff(34610,plain,
% 51.83/34.38 (~v163(constB133)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34609, 13421, 27656])).
% 51.83/34.38 tff(34611,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB133) | v164(constB133) | (~v160(constB133)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB133) | v164(constB133) | (~v160(constB133)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34612,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB133) | v164(constB133) | (~v160(constB133)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34613,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB133) | v164(constB133) | (~v160(constB133))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34612, 34611])).
% 51.83/34.38 tff(34614,plain,
% 51.83/34.38 (v164(constB133) | (~v160(constB133))),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34613, 13754, 34610])).
% 51.83/34.38 tff(34615,plain,
% 51.83/34.38 (~v160(constB133)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34614, 34606])).
% 51.83/34.38 tff(34616,plain,
% 51.83/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34617,plain,
% 51.83/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34618,plain,
% 51.83/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34617, 34616])).
% 51.83/34.38 tff(34619,plain,
% 51.83/34.38 (v160(constB133) | (~v162(constB134))),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34618, 13769, 16931])).
% 51.83/34.38 tff(34620,plain,
% 51.83/34.38 (~v162(constB134)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34619, 34615])).
% 51.83/34.38 tff(34621,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB134) | (~v163(constB134)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB134) | (~v163(constB134)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34622,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB134) | (~v163(constB134)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34623,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB134) | (~v163(constB134))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34622, 34621])).
% 51.83/34.38 tff(34624,plain,
% 51.83/34.38 (~v163(constB134)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34623, 13784, 34620])).
% 51.83/34.38 tff(34625,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB134) | (~v164(constB134)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB134) | (~v164(constB134)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34626,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB134) | (~v164(constB134)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34627,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB134) | (~v164(constB134))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34626, 34625])).
% 51.83/34.38 tff(34628,plain,
% 51.83/34.38 (~v164(constB134)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34627, 13806, 27682])).
% 51.83/34.38 tff(34629,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB134) | v164(constB134) | (~v160(constB134)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB134) | v164(constB134) | (~v160(constB134)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34630,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB134) | v164(constB134) | (~v160(constB134)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34631,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB134) | v164(constB134) | (~v160(constB134))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34630, 34629])).
% 51.83/34.38 tff(34632,plain,
% 51.83/34.38 (v163(constB134) | (~v160(constB134))),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34631, 13754, 34628])).
% 51.83/34.38 tff(34633,plain,
% 51.83/34.38 (~v160(constB134)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34632, 34624])).
% 51.83/34.38 tff(34634,plain,
% 51.83/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34635,plain,
% 51.83/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34636,plain,
% 51.83/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135))),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[34635, 34634])).
% 51.83/34.38 tff(34637,plain,
% 51.83/34.38 (v160(constB134) | (~v162(constB135))),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34636, 13769, 16993])).
% 51.83/34.38 tff(34638,plain,
% 51.83/34.38 (~v162(constB135)),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34637, 34633])).
% 51.83/34.38 tff(34639,plain,
% 51.83/34.38 ($false),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[34638, 34479])).
% 51.83/34.38 tff(34640,plain,(~(constB135 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.38 tff(34641,assumption,(constB134 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.38 tff(34642,plain,
% 51.83/34.38 (v1(constB134) <=> v1(sK0_VarCurr)),
% 51.83/34.38 inference(monotonicity,[status(thm)],[34641])).
% 51.83/34.38 tff(34643,plain,
% 51.83/34.38 (v1(sK0_VarCurr) <=> v1(constB134)),
% 51.83/34.38 inference(symmetry,[status(thm)],[34642])).
% 51.83/34.38 tff(34644,plain,
% 51.83/34.38 ((~v1(sK0_VarCurr)) <=> (~v1(constB134))),
% 51.83/34.38 inference(monotonicity,[status(thm)],[34643])).
% 51.83/34.38 tff(34645,plain,
% 51.83/34.38 (~v1(constB134)),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[25725, 34644])).
% 51.83/34.38 tff(34646,plain,
% 51.83/34.38 ($false),
% 51.83/34.38 inference(unit_resolution,[status(thm)],[16951, 34645])).
% 51.83/34.38 tff(34647,plain,(~(constB134 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.38 tff(34648,assumption,(constB87 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.38 tff(34649,plain,
% 51.83/34.38 (v162(constB87) <=> v162(sK0_VarCurr)),
% 51.83/34.38 inference(monotonicity,[status(thm)],[34648])).
% 51.83/34.38 tff(34650,plain,
% 51.83/34.38 (v162(sK0_VarCurr) <=> v162(constB87)),
% 51.83/34.38 inference(symmetry,[status(thm)],[34649])).
% 51.83/34.38 tff(34651,plain,
% 51.83/34.38 (v162(constB87)),
% 51.83/34.38 inference(modus_ponens,[status(thm)],[13315, 34650])).
% 51.83/34.38 tff(34652,plain,
% 51.83/34.38 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB81)) | (~v84(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB81)) | (~v84(constB81, bitIndex1)))),
% 51.83/34.38 inference(rewrite,[status(thm)],[])).
% 51.83/34.38 tff(34653,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB81)) | (~v84(constB81, bitIndex1)))),
% 51.83/34.38 inference(quant_inst,[status(thm)],[])).
% 51.83/34.38 tff(34654,plain,
% 51.83/34.38 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB81)) | (~v84(constB81, bitIndex1))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34653, 34652])).
% 51.83/34.39 tff(34655,plain,
% 51.83/34.39 (~v145(constB81)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34654, 1091, 10662])).
% 51.83/34.39 tff(34656,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB81) | (~v144(constB81)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB81) | (~v144(constB81)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34657,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB81) | (~v144(constB81)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34658,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB81) | (~v144(constB81))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34657, 34656])).
% 51.83/34.39 tff(34659,plain,
% 51.83/34.39 (~v144(constB81)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34658, 13439, 34655])).
% 51.83/34.39 tff(34660,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB81) | (~v142(constB81)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB81) | (~v142(constB81)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34661,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB81) | (~v142(constB81)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34662,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB81) | (~v142(constB81))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34661, 34660])).
% 51.83/34.39 tff(34663,plain,
% 51.83/34.39 (~v142(constB81)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34662, 13453, 34659])).
% 51.83/34.39 tff(34664,assumption,(v18(constB82)), introduced(assumption)).
% 51.83/34.39 tff(34665,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB82))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34666,plain,
% 51.83/34.39 ($false),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34665, 13324, 34664])).
% 51.83/34.39 tff(34667,plain,(~v18(constB82)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.39 tff(34668,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34669,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34670,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34669, 34668])).
% 51.83/34.39 tff(34671,plain,
% 51.83/34.39 (v22(constB82)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34670, 13337, 10806])).
% 51.83/34.39 tff(34672,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB82) | (~v22(constB82)) | (~v19(constB82)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB82) | (~v22(constB82)) | (~v19(constB82)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34673,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB82) | (~v22(constB82)) | (~v19(constB82)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34674,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB82) | (~v22(constB82)) | (~v19(constB82))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34673, 34672])).
% 51.83/34.39 tff(34675,plain,
% 51.83/34.39 (v18(constB82) | (~v19(constB82))),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34674, 13351, 34671])).
% 51.83/34.39 tff(34676,plain,
% 51.83/34.39 (~v19(constB82)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34675, 34667])).
% 51.83/34.39 tff(34677,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34678,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34679,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82)),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34678, 34677])).
% 51.83/34.39 tff(34680,plain,
% 51.83/34.39 (v13(constB82)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34679, 13363, 34676])).
% 51.83/34.39 tff(34681,plain,
% 51.83/34.39 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34682,plain,
% 51.83/34.39 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34683,plain,
% 51.83/34.39 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34682, 34681])).
% 51.83/34.39 tff(34684,plain,
% 51.83/34.39 (v9(constB81) | (~v13(constB82))),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34683, 13377, 10786])).
% 51.83/34.39 tff(34685,plain,
% 51.83/34.39 (v9(constB81)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34684, 34680])).
% 51.83/34.39 tff(34686,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v141(constB81))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB81) | (~v9(constB81)) | v141(constB81))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34687,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v141(constB81))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34688,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB81) | (~v9(constB81)) | v141(constB81)),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34687, 34686])).
% 51.83/34.39 tff(34689,plain,
% 51.83/34.39 ((~v9(constB81)) | v141(constB81)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34688, 13392, 10607])).
% 51.83/34.39 tff(34690,plain,
% 51.83/34.39 (v141(constB81)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34689, 34685])).
% 51.83/34.39 tff(34691,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB81) | (~v141(constB81)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB81) | (~v141(constB81)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34692,plain,
% 51.83/34.39 (((~v141(constB81)) | v140(constB81)) <=> (v140(constB81) | (~v141(constB81)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34693,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB81)) | v140(constB81))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB81) | (~v141(constB81))))),
% 51.83/34.39 inference(monotonicity,[status(thm)],[34692])).
% 51.83/34.39 tff(34694,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB81)) | v140(constB81))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB81) | (~v141(constB81)))),
% 51.83/34.39 inference(transitivity,[status(thm)],[34693, 34691])).
% 51.83/34.39 tff(34695,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB81)) | v140(constB81))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34696,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB81) | (~v141(constB81))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34695, 34694])).
% 51.83/34.39 tff(34697,plain,
% 51.83/34.39 (v140(constB81)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34696, 13404, 34690])).
% 51.83/34.39 tff(34698,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB81)) | (~v140(constB81)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB81)) | (~v140(constB81)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34699,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB81)) | (~v140(constB81)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34700,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB81)) | (~v140(constB81))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34699, 34698])).
% 51.83/34.39 tff(34701,plain,
% 51.83/34.39 (~v138(constB81)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34700, 13495, 34697])).
% 51.83/34.39 tff(34702,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB81) | v142(constB81) | (~v135(constB81)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB81) | v142(constB81) | (~v135(constB81)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34703,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB81) | v142(constB81) | (~v135(constB81)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34704,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB81) | v142(constB81) | (~v135(constB81))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34703, 34702])).
% 51.83/34.39 tff(34705,plain,
% 51.83/34.39 (v142(constB81) | (~v135(constB81))),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34704, 13509, 34701])).
% 51.83/34.39 tff(34706,plain,
% 51.83/34.39 (~v135(constB81)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34705, 34663])).
% 51.83/34.39 tff(34707,plain,
% 51.83/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34708,plain,
% 51.83/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34709,plain,
% 51.83/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34708, 34707])).
% 51.83/34.39 tff(34710,plain,
% 51.83/34.39 (v135(constB81) | (~v137(constB82))),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34709, 13524, 10786])).
% 51.83/34.39 tff(34711,plain,
% 51.83/34.39 (~v137(constB82)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34710, 34706])).
% 51.83/34.39 tff(34712,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB82) | (~v138(constB82)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB82) | (~v138(constB82)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34713,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB82) | (~v138(constB82)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34714,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB82) | (~v138(constB82))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34713, 34712])).
% 51.83/34.39 tff(34715,plain,
% 51.83/34.39 (~v138(constB82)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34714, 13539, 34711])).
% 51.83/34.39 tff(34716,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB82)) | (~v141(constB82)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB82)) | (~v141(constB82)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34717,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB82)) | (~v141(constB82)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34718,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB82)) | (~v141(constB82))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34717, 34716])).
% 51.83/34.39 tff(34719,plain,
% 51.83/34.39 (~v141(constB82)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34718, 13553, 10806])).
% 51.83/34.39 tff(34720,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB82) | (~v144(constB82)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB82) | (~v144(constB82)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34721,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB82) | (~v144(constB82)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34722,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB82) | (~v144(constB82))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34721, 34720])).
% 51.83/34.39 tff(34723,plain,
% 51.83/34.39 (~v144(constB82)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34722, 13567, 34719])).
% 51.83/34.39 tff(34724,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB82) | (~v142(constB82)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB82) | (~v142(constB82)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34725,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB82) | (~v142(constB82)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34726,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB82) | (~v142(constB82))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34725, 34724])).
% 51.83/34.39 tff(34727,plain,
% 51.83/34.39 (~v142(constB82)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34726, 13453, 34723])).
% 51.83/34.39 tff(34728,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB82) | v142(constB82) | (~v135(constB82)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB82) | v142(constB82) | (~v135(constB82)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34729,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB82) | v142(constB82) | (~v135(constB82)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34730,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB82) | v142(constB82) | (~v135(constB82))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34729, 34728])).
% 51.83/34.39 tff(34731,plain,
% 51.83/34.39 (v138(constB82) | (~v135(constB82))),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34730, 13509, 34727])).
% 51.83/34.39 tff(34732,plain,
% 51.83/34.39 (~v135(constB82)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34731, 34715])).
% 51.83/34.39 tff(34733,plain,
% 51.83/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34734,plain,
% 51.83/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34735,plain,
% 51.83/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34734, 34733])).
% 51.83/34.39 tff(34736,plain,
% 51.83/34.39 (v135(constB82) | (~v137(constB83))),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34735, 13524, 10852])).
% 51.83/34.39 tff(34737,plain,
% 51.83/34.39 (~v137(constB83)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34736, 34732])).
% 51.83/34.39 tff(34738,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB83) | (~v154(constB83)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB83) | (~v154(constB83)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34739,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB83) | (~v154(constB83)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34740,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB83) | (~v154(constB83))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34739, 34738])).
% 51.83/34.39 tff(34741,plain,
% 51.83/34.39 (~v154(constB83)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34740, 13595, 34737])).
% 51.83/34.39 tff(34742,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB83)) | (~v153(constB83)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB83)) | (~v153(constB83)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34743,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB83)) | (~v153(constB83)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34744,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB83)) | (~v153(constB83))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34743, 34742])).
% 51.83/34.39 tff(34745,plain,
% 51.83/34.39 (~v153(constB83)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34744, 13640, 26048])).
% 51.83/34.39 tff(34746,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB83) | v154(constB83) | (~v150(constB83)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB83) | v154(constB83) | (~v150(constB83)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34747,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB83) | v154(constB83) | (~v150(constB83)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34748,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB83) | v154(constB83) | (~v150(constB83))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34747, 34746])).
% 51.83/34.39 tff(34749,plain,
% 51.83/34.39 (v154(constB83) | (~v150(constB83))),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34748, 13654, 34745])).
% 51.83/34.39 tff(34750,plain,
% 51.83/34.39 (~v150(constB83)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34749, 34741])).
% 51.83/34.39 tff(34751,plain,
% 51.83/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34752,plain,
% 51.83/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34753,plain,
% 51.83/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34752, 34751])).
% 51.83/34.39 tff(34754,plain,
% 51.83/34.39 (v150(constB83) | (~v152(constB84))),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34753, 13669, 10979])).
% 51.83/34.39 tff(34755,plain,
% 51.83/34.39 (~v152(constB84)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34754, 34750])).
% 51.83/34.39 tff(34756,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB84) | (~v153(constB84)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB84) | (~v153(constB84)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34757,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB84) | (~v153(constB84)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34758,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB84) | (~v153(constB84))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34757, 34756])).
% 51.83/34.39 tff(34759,plain,
% 51.83/34.39 (~v153(constB84)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34758, 13684, 34755])).
% 51.83/34.39 tff(34760,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB84) | (~v155(constB84)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB84) | (~v155(constB84)))),
% 51.83/34.39 inference(rewrite,[status(thm)],[])).
% 51.83/34.39 tff(34761,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB84) | (~v155(constB84)))),
% 51.83/34.39 inference(quant_inst,[status(thm)],[])).
% 51.83/34.39 tff(34762,plain,
% 51.83/34.39 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB84) | (~v155(constB84))),
% 51.83/34.39 inference(modus_ponens,[status(thm)],[34761, 34760])).
% 51.83/34.39 tff(34763,plain,
% 51.83/34.39 (~v155(constB84)),
% 51.83/34.39 inference(unit_resolution,[status(thm)],[34762, 13702, 26070])).
% 51.83/34.39 tff(34764,plain,
% 51.83/34.39 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB84) | (~v154(constB84)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB84) | (~v154(constB84)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34765,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB84) | (~v154(constB84)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34766,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB84) | (~v154(constB84))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34765, 34764])).
% 51.83/34.40 tff(34767,plain,
% 51.83/34.40 (~v154(constB84)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34766, 13716, 34763])).
% 51.83/34.40 tff(34768,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB84) | v154(constB84) | (~v150(constB84)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB84) | v154(constB84) | (~v150(constB84)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34769,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB84) | v154(constB84) | (~v150(constB84)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34770,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB84) | v154(constB84) | (~v150(constB84))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34769, 34768])).
% 51.83/34.40 tff(34771,plain,
% 51.83/34.40 (v153(constB84) | (~v150(constB84))),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34770, 13654, 34767])).
% 51.83/34.40 tff(34772,plain,
% 51.83/34.40 (~v150(constB84)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34771, 34759])).
% 51.83/34.40 tff(34773,plain,
% 51.83/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34774,plain,
% 51.83/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34775,plain,
% 51.83/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34774, 34773])).
% 51.83/34.40 tff(34776,plain,
% 51.83/34.40 (v150(constB84) | (~v152(constB85))),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34775, 13669, 11041])).
% 51.83/34.40 tff(34777,plain,
% 51.83/34.40 (~v152(constB85)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34776, 34772])).
% 51.83/34.40 tff(34778,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB85) | (~v164(constB85)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB85) | (~v164(constB85)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34779,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB85) | (~v164(constB85)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34780,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB85) | (~v164(constB85))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34779, 34778])).
% 51.83/34.40 tff(34781,plain,
% 51.83/34.40 (~v164(constB85)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34780, 13740, 34777])).
% 51.83/34.40 tff(34782,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB85)) | (~v163(constB85)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB85)) | (~v163(constB85)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34783,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB85)) | (~v163(constB85)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34784,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB85)) | (~v163(constB85))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34783, 34782])).
% 51.83/34.40 tff(34785,plain,
% 51.83/34.40 (~v163(constB85)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34784, 13421, 26126])).
% 51.83/34.40 tff(34786,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB85) | v164(constB85) | (~v160(constB85)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB85) | v164(constB85) | (~v160(constB85)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34787,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB85) | v164(constB85) | (~v160(constB85)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34788,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB85) | v164(constB85) | (~v160(constB85))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34787, 34786])).
% 51.83/34.40 tff(34789,plain,
% 51.83/34.40 (v164(constB85) | (~v160(constB85))),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34788, 13754, 34785])).
% 51.83/34.40 tff(34790,plain,
% 51.83/34.40 (~v160(constB85)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34789, 34781])).
% 51.83/34.40 tff(34791,plain,
% 51.83/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34792,plain,
% 51.83/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34793,plain,
% 51.83/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34792, 34791])).
% 51.83/34.40 tff(34794,plain,
% 51.83/34.40 (v160(constB85) | (~v162(constB86))),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34793, 13769, 11154])).
% 51.83/34.40 tff(34795,plain,
% 51.83/34.40 (~v162(constB86)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34794, 34790])).
% 51.83/34.40 tff(34796,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB86) | (~v163(constB86)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB86) | (~v163(constB86)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34797,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB86) | (~v163(constB86)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34798,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB86) | (~v163(constB86))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34797, 34796])).
% 51.83/34.40 tff(34799,plain,
% 51.83/34.40 (~v163(constB86)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34798, 13784, 34795])).
% 51.83/34.40 tff(34800,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB86) | (~v164(constB86)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB86) | (~v164(constB86)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34801,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB86) | (~v164(constB86)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34802,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB86) | (~v164(constB86))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34801, 34800])).
% 51.83/34.40 tff(34803,plain,
% 51.83/34.40 (~v164(constB86)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34802, 13806, 26152])).
% 51.83/34.40 tff(34804,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB86) | v164(constB86) | (~v160(constB86)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB86) | v164(constB86) | (~v160(constB86)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34805,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB86) | v164(constB86) | (~v160(constB86)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34806,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB86) | v164(constB86) | (~v160(constB86))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34805, 34804])).
% 51.83/34.40 tff(34807,plain,
% 51.83/34.40 (v163(constB86) | (~v160(constB86))),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34806, 13754, 34803])).
% 51.83/34.40 tff(34808,plain,
% 51.83/34.40 (~v160(constB86)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34807, 34799])).
% 51.83/34.40 tff(34809,plain,
% 51.83/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34810,plain,
% 51.83/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34811,plain,
% 51.83/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34810, 34809])).
% 51.83/34.40 tff(34812,plain,
% 51.83/34.40 (v160(constB86) | (~v162(constB87))),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34811, 13769, 11243])).
% 51.83/34.40 tff(34813,plain,
% 51.83/34.40 (~v162(constB87)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34812, 34808])).
% 51.83/34.40 tff(34814,plain,
% 51.83/34.40 ($false),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34813, 34651])).
% 51.83/34.40 tff(34815,plain,(~(constB87 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.40 tff(34816,assumption,(constB42 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.40 tff(34817,plain,
% 51.83/34.40 (v1(constB42) <=> v1(sK0_VarCurr)),
% 51.83/34.40 inference(monotonicity,[status(thm)],[34816])).
% 51.83/34.40 tff(34818,plain,
% 51.83/34.40 (v1(sK0_VarCurr) <=> v1(constB42)),
% 51.83/34.40 inference(symmetry,[status(thm)],[34817])).
% 51.83/34.40 tff(34819,plain,
% 51.83/34.40 ((~v1(sK0_VarCurr)) <=> (~v1(constB42))),
% 51.83/34.40 inference(monotonicity,[status(thm)],[34818])).
% 51.83/34.40 tff(34820,plain,
% 51.83/34.40 (~v1(constB42)),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[25725, 34819])).
% 51.83/34.40 tff(34821,plain,
% 51.83/34.40 ($false),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[6349, 34820])).
% 51.83/34.40 tff(34822,plain,(~(constB42 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.40 tff(34823,assumption,(constB72 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.40 tff(34824,plain,
% 51.83/34.40 (v1(constB72) <=> v1(sK0_VarCurr)),
% 51.83/34.40 inference(monotonicity,[status(thm)],[34823])).
% 51.83/34.40 tff(34825,plain,
% 51.83/34.40 (v1(sK0_VarCurr) <=> v1(constB72)),
% 51.83/34.40 inference(symmetry,[status(thm)],[34824])).
% 51.83/34.40 tff(34826,plain,
% 51.83/34.40 ((~v1(sK0_VarCurr)) <=> (~v1(constB72))),
% 51.83/34.40 inference(monotonicity,[status(thm)],[34825])).
% 51.83/34.40 tff(34827,plain,
% 51.83/34.40 (~v1(constB72)),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[25725, 34826])).
% 51.83/34.40 tff(34828,plain,
% 51.83/34.40 ($false),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[9393, 34827])).
% 51.83/34.40 tff(34829,plain,(~(constB72 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.40 tff(34830,assumption,(constB68 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.40 tff(34831,plain,
% 51.83/34.40 (v1(constB68) <=> v1(sK0_VarCurr)),
% 51.83/34.40 inference(monotonicity,[status(thm)],[34830])).
% 51.83/34.40 tff(34832,plain,
% 51.83/34.40 (v1(sK0_VarCurr) <=> v1(constB68)),
% 51.83/34.40 inference(symmetry,[status(thm)],[34831])).
% 51.83/34.40 tff(34833,plain,
% 51.83/34.40 ((~v1(sK0_VarCurr)) <=> (~v1(constB68))),
% 51.83/34.40 inference(monotonicity,[status(thm)],[34832])).
% 51.83/34.40 tff(34834,plain,
% 51.83/34.40 (~v1(constB68)),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[25725, 34833])).
% 51.83/34.40 tff(34835,plain,
% 51.83/34.40 ($false),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[8972, 34834])).
% 51.83/34.40 tff(34836,plain,(~(constB68 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.40 tff(34837,assumption,(constB180 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.40 tff(34838,plain,
% 51.83/34.40 (v1(constB180) <=> v1(sK0_VarCurr)),
% 51.83/34.40 inference(monotonicity,[status(thm)],[34837])).
% 51.83/34.40 tff(34839,plain,
% 51.83/34.40 (v1(sK0_VarCurr) <=> v1(constB180)),
% 51.83/34.40 inference(symmetry,[status(thm)],[34838])).
% 51.83/34.40 tff(34840,plain,
% 51.83/34.40 ((~v1(sK0_VarCurr)) <=> (~v1(constB180))),
% 51.83/34.40 inference(monotonicity,[status(thm)],[34839])).
% 51.83/34.40 tff(34841,plain,
% 51.83/34.40 (~v1(constB180)),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[25725, 34840])).
% 51.83/34.40 tff(34842,plain,
% 51.83/34.40 ($false),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[22679, 34841])).
% 51.83/34.40 tff(34843,plain,(~(constB180 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.40 tff(34844,assumption,(constB159 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.40 tff(34845,plain,
% 51.83/34.40 (v162(constB159) <=> v162(sK0_VarCurr)),
% 51.83/34.40 inference(monotonicity,[status(thm)],[34844])).
% 51.83/34.40 tff(34846,plain,
% 51.83/34.40 (v162(sK0_VarCurr) <=> v162(constB159)),
% 51.83/34.40 inference(symmetry,[status(thm)],[34845])).
% 51.83/34.40 tff(34847,plain,
% 51.83/34.40 (v162(constB159)),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[13315, 34846])).
% 51.83/34.40 tff(34848,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB153)) | (~v84(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB153)) | (~v84(constB153, bitIndex2)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34849,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB153)) | (~v84(constB153, bitIndex2)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34850,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB153)) | (~v84(constB153, bitIndex2))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34849, 34848])).
% 51.83/34.40 tff(34851,plain,
% 51.83/34.40 (~v145(constB153)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34850, 4483, 19526])).
% 51.83/34.40 tff(34852,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB153) | (~v144(constB153)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB153) | (~v144(constB153)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34853,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB153) | (~v144(constB153)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34854,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB153) | (~v144(constB153))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34853, 34852])).
% 51.83/34.40 tff(34855,plain,
% 51.83/34.40 (~v144(constB153)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34854, 13439, 34851])).
% 51.83/34.40 tff(34856,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB153) | (~v142(constB153)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB153) | (~v142(constB153)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34857,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB153) | (~v142(constB153)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34858,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB153) | (~v142(constB153))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34857, 34856])).
% 51.83/34.40 tff(34859,plain,
% 51.83/34.40 (~v142(constB153)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34858, 13453, 34855])).
% 51.83/34.40 tff(34860,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB153)) | (~v140(constB153)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB153)) | (~v140(constB153)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34861,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB153)) | (~v140(constB153)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34862,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB153)) | (~v140(constB153))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34861, 34860])).
% 51.83/34.40 tff(34863,plain,
% 51.83/34.40 (~v138(constB153)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34862, 13495, 23278])).
% 51.83/34.40 tff(34864,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB153) | v142(constB153) | (~v135(constB153)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB153) | v142(constB153) | (~v135(constB153)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34865,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB153) | v142(constB153) | (~v135(constB153)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34866,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB153) | v142(constB153) | (~v135(constB153))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34865, 34864])).
% 51.83/34.40 tff(34867,plain,
% 51.83/34.40 (v142(constB153) | (~v135(constB153))),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34866, 13509, 34863])).
% 51.83/34.40 tff(34868,plain,
% 51.83/34.40 (~v135(constB153)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34867, 34859])).
% 51.83/34.40 tff(34869,plain,
% 51.83/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34870,plain,
% 51.83/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34871,plain,
% 51.83/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34870, 34869])).
% 51.83/34.40 tff(34872,plain,
% 51.83/34.40 (v135(constB153) | (~v137(constB154))),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34871, 13524, 19632])).
% 51.83/34.40 tff(34873,plain,
% 51.83/34.40 (~v137(constB154)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34872, 34868])).
% 51.83/34.40 tff(34874,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB154) | (~v138(constB154)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB154) | (~v138(constB154)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34875,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB154) | (~v138(constB154)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34876,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB154) | (~v138(constB154))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34875, 34874])).
% 51.83/34.40 tff(34877,plain,
% 51.83/34.40 (~v138(constB154)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34876, 13539, 34873])).
% 51.83/34.40 tff(34878,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB154) | (~v144(constB154)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB154) | (~v144(constB154)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34879,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB154) | (~v144(constB154)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34880,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB154) | (~v144(constB154))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34879, 34878])).
% 51.83/34.40 tff(34881,plain,
% 51.83/34.40 (~v144(constB154)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34880, 13567, 23300])).
% 51.83/34.40 tff(34882,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB154) | (~v142(constB154)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB154) | (~v142(constB154)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34883,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB154) | (~v142(constB154)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34884,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB154) | (~v142(constB154))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34883, 34882])).
% 51.83/34.40 tff(34885,plain,
% 51.83/34.40 (~v142(constB154)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34884, 13453, 34881])).
% 51.83/34.40 tff(34886,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB154) | v142(constB154) | (~v135(constB154)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB154) | v142(constB154) | (~v135(constB154)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34887,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB154) | v142(constB154) | (~v135(constB154)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34888,plain,
% 51.83/34.40 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB154) | v142(constB154) | (~v135(constB154))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34887, 34886])).
% 51.83/34.40 tff(34889,plain,
% 51.83/34.40 (v138(constB154) | (~v135(constB154))),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34888, 13509, 34885])).
% 51.83/34.40 tff(34890,plain,
% 51.83/34.40 (~v135(constB154)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34889, 34877])).
% 51.83/34.40 tff(34891,plain,
% 51.83/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155)))),
% 51.83/34.40 inference(rewrite,[status(thm)],[])).
% 51.83/34.40 tff(34892,plain,
% 51.83/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155)))),
% 51.83/34.40 inference(quant_inst,[status(thm)],[])).
% 51.83/34.40 tff(34893,plain,
% 51.83/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155))),
% 51.83/34.40 inference(modus_ponens,[status(thm)],[34892, 34891])).
% 51.83/34.40 tff(34894,plain,
% 51.83/34.40 (v135(constB154) | (~v137(constB155))),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34893, 13524, 19694])).
% 51.83/34.40 tff(34895,plain,
% 51.83/34.40 (~v137(constB155)),
% 51.83/34.40 inference(unit_resolution,[status(thm)],[34894, 34890])).
% 51.83/34.40 tff(34896,plain,
% 51.83/34.40 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB155) | (~v154(constB155)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB155) | (~v154(constB155)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34897,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB155) | (~v154(constB155)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34898,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB155) | (~v154(constB155))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34897, 34896])).
% 51.83/34.41 tff(34899,plain,
% 51.83/34.41 (~v154(constB155)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34898, 13595, 34895])).
% 51.83/34.41 tff(34900,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB155)) | (~v153(constB155)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB155)) | (~v153(constB155)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34901,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB155)) | (~v153(constB155)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34902,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB155)) | (~v153(constB155))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34901, 34900])).
% 51.83/34.41 tff(34903,plain,
% 51.83/34.41 (~v153(constB155)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34902, 13640, 32652])).
% 51.83/34.41 tff(34904,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB155) | v154(constB155) | (~v150(constB155)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB155) | v154(constB155) | (~v150(constB155)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34905,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB155) | v154(constB155) | (~v150(constB155)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34906,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB155) | v154(constB155) | (~v150(constB155))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34905, 34904])).
% 51.83/34.41 tff(34907,plain,
% 51.83/34.41 (v154(constB155) | (~v150(constB155))),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34906, 13654, 34903])).
% 51.83/34.41 tff(34908,plain,
% 51.83/34.41 (~v150(constB155)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34907, 34899])).
% 51.83/34.41 tff(34909,plain,
% 51.83/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB155, constB156)) | v150(constB155) | (~v152(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB155, constB156)) | v150(constB155) | (~v152(constB156)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34910,plain,
% 51.83/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB155, constB156)) | v150(constB155) | (~v152(constB156)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34911,plain,
% 51.83/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB155, constB156)) | v150(constB155) | (~v152(constB156))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34910, 34909])).
% 51.83/34.41 tff(34912,plain,
% 51.83/34.41 (v150(constB155) | (~v152(constB156))),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34911, 13669, 19807])).
% 51.83/34.41 tff(34913,plain,
% 51.83/34.41 (~v152(constB156)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34912, 34908])).
% 51.83/34.41 tff(34914,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB156) | (~v153(constB156)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB156) | (~v153(constB156)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34915,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB156) | (~v153(constB156)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34916,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB156) | (~v153(constB156))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34915, 34914])).
% 51.83/34.41 tff(34917,plain,
% 51.83/34.41 (~v153(constB156)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34916, 13684, 34913])).
% 51.83/34.41 tff(34918,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB156) | (~v154(constB156)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB156) | (~v154(constB156)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34919,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB156) | (~v154(constB156)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34920,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB156) | (~v154(constB156))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34919, 34918])).
% 51.83/34.41 tff(34921,plain,
% 51.83/34.41 (~v154(constB156)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34920, 13716, 32678])).
% 51.83/34.41 tff(34922,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB156) | v154(constB156) | (~v150(constB156)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB156) | v154(constB156) | (~v150(constB156)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34923,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB156) | v154(constB156) | (~v150(constB156)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34924,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB156) | v154(constB156) | (~v150(constB156))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34923, 34922])).
% 51.83/34.41 tff(34925,plain,
% 51.83/34.41 (v153(constB156) | (~v150(constB156))),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34924, 13654, 34921])).
% 51.83/34.41 tff(34926,plain,
% 51.83/34.41 (~v150(constB156)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34925, 34917])).
% 51.83/34.41 tff(34927,plain,
% 51.83/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB156, constB157)) | v150(constB156) | (~v152(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB156, constB157)) | v150(constB156) | (~v152(constB157)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34928,plain,
% 51.83/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB156, constB157)) | v150(constB156) | (~v152(constB157)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34929,plain,
% 51.83/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB156, constB157)) | v150(constB156) | (~v152(constB157))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34928, 34927])).
% 51.83/34.41 tff(34930,plain,
% 51.83/34.41 (v150(constB156) | (~v152(constB157))),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34929, 13669, 19896])).
% 51.83/34.41 tff(34931,plain,
% 51.83/34.41 (~v152(constB157)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34930, 34926])).
% 51.83/34.41 tff(34932,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB157) | (~v164(constB157)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB157) | (~v164(constB157)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34933,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB157) | (~v164(constB157)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34934,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB157) | (~v164(constB157))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34933, 34932])).
% 51.83/34.41 tff(34935,plain,
% 51.83/34.41 (~v164(constB157)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34934, 13740, 34931])).
% 51.83/34.41 tff(34936,assumption,(v18(constB158)), introduced(assumption)).
% 51.83/34.41 tff(34937,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB158))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34938,plain,
% 51.83/34.41 ($false),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34937, 13324, 34936])).
% 51.83/34.41 tff(34939,plain,(~v18(constB158)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.41 tff(34940,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34941,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34942,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34941, 34940])).
% 51.83/34.41 tff(34943,plain,
% 51.83/34.41 (v22(constB158)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34942, 13337, 20067])).
% 51.83/34.41 tff(34944,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB158) | (~v22(constB158)) | (~v19(constB158)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB158) | (~v22(constB158)) | (~v19(constB158)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34945,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB158) | (~v22(constB158)) | (~v19(constB158)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34946,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB158) | (~v22(constB158)) | (~v19(constB158))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34945, 34944])).
% 51.83/34.41 tff(34947,plain,
% 51.83/34.41 (v18(constB158) | (~v19(constB158))),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34946, 13351, 34943])).
% 51.83/34.41 tff(34948,plain,
% 51.83/34.41 (~v19(constB158)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34947, 34939])).
% 51.83/34.41 tff(34949,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34950,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34951,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158)),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34950, 34949])).
% 51.83/34.41 tff(34952,plain,
% 51.83/34.41 (v13(constB158)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34951, 13363, 34948])).
% 51.83/34.41 tff(34953,plain,
% 51.83/34.41 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34954,plain,
% 51.83/34.41 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34955,plain,
% 51.83/34.41 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34954, 34953])).
% 51.83/34.41 tff(34956,plain,
% 51.83/34.41 (v9(constB157) | (~v13(constB158))),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34955, 13377, 20047])).
% 51.83/34.41 tff(34957,plain,
% 51.83/34.41 (v9(constB157)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34956, 34952])).
% 51.83/34.41 tff(34958,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v141(constB157))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB157) | (~v9(constB157)) | v141(constB157))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34959,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v141(constB157))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34960,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB157) | (~v9(constB157)) | v141(constB157)),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34959, 34958])).
% 51.83/34.41 tff(34961,plain,
% 51.83/34.41 ((~v9(constB157)) | v141(constB157)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34960, 13392, 19893])).
% 51.83/34.41 tff(34962,plain,
% 51.83/34.41 (v141(constB157)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34961, 34957])).
% 51.83/34.41 tff(34963,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB157) | (~v141(constB157)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB157) | (~v141(constB157)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34964,plain,
% 51.83/34.41 (((~v141(constB157)) | v140(constB157)) <=> (v140(constB157) | (~v141(constB157)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34965,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB157)) | v140(constB157))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB157) | (~v141(constB157))))),
% 51.83/34.41 inference(monotonicity,[status(thm)],[34964])).
% 51.83/34.41 tff(34966,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB157)) | v140(constB157))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB157) | (~v141(constB157)))),
% 51.83/34.41 inference(transitivity,[status(thm)],[34965, 34963])).
% 51.83/34.41 tff(34967,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB157)) | v140(constB157))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34968,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB157) | (~v141(constB157))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34967, 34966])).
% 51.83/34.41 tff(34969,plain,
% 51.83/34.41 (v140(constB157)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34968, 13404, 34962])).
% 51.83/34.41 tff(34970,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB157)) | (~v163(constB157)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB157)) | (~v163(constB157)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34971,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB157)) | (~v163(constB157)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34972,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB157)) | (~v163(constB157))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34971, 34970])).
% 51.83/34.41 tff(34973,plain,
% 51.83/34.41 (~v163(constB157)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34972, 13421, 34969])).
% 51.83/34.41 tff(34974,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB157) | v164(constB157) | (~v160(constB157)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB157) | v164(constB157) | (~v160(constB157)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34975,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB157) | v164(constB157) | (~v160(constB157)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34976,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB157) | v164(constB157) | (~v160(constB157))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34975, 34974])).
% 51.83/34.41 tff(34977,plain,
% 51.83/34.41 (v164(constB157) | (~v160(constB157))),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34976, 13754, 34973])).
% 51.83/34.41 tff(34978,plain,
% 51.83/34.41 (~v160(constB157)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34977, 34935])).
% 51.83/34.41 tff(34979,plain,
% 51.83/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB157, constB158)) | v160(constB157) | (~v162(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB157, constB158)) | v160(constB157) | (~v162(constB158)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34980,plain,
% 51.83/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB157, constB158)) | v160(constB157) | (~v162(constB158)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34981,plain,
% 51.83/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB157, constB158)) | v160(constB157) | (~v162(constB158))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34980, 34979])).
% 51.83/34.41 tff(34982,plain,
% 51.83/34.41 (v160(constB157) | (~v162(constB158))),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34981, 13769, 20047])).
% 51.83/34.41 tff(34983,plain,
% 51.83/34.41 (~v162(constB158)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34982, 34978])).
% 51.83/34.41 tff(34984,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB158) | (~v163(constB158)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB158) | (~v163(constB158)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34985,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB158) | (~v163(constB158)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34986,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB158) | (~v163(constB158))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34985, 34984])).
% 51.83/34.41 tff(34987,plain,
% 51.83/34.41 (~v163(constB158)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34986, 13784, 34983])).
% 51.83/34.41 tff(34988,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB158)) | (~v141(constB158)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB158)) | (~v141(constB158)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34989,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB158)) | (~v141(constB158)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34990,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB158)) | (~v141(constB158))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34989, 34988])).
% 51.83/34.41 tff(34991,plain,
% 51.83/34.41 (~v141(constB158)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34990, 13553, 20067])).
% 51.83/34.41 tff(34992,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB158) | (~v155(constB158)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB158) | (~v155(constB158)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34993,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB158) | (~v155(constB158)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34994,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB158) | (~v155(constB158))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34993, 34992])).
% 51.83/34.41 tff(34995,plain,
% 51.83/34.41 (~v155(constB158)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34994, 13702, 34991])).
% 51.83/34.41 tff(34996,plain,
% 51.83/34.41 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB158) | (~v164(constB158)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB158) | (~v164(constB158)))),
% 51.83/34.41 inference(rewrite,[status(thm)],[])).
% 51.83/34.41 tff(34997,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB158) | (~v164(constB158)))),
% 51.83/34.41 inference(quant_inst,[status(thm)],[])).
% 51.83/34.41 tff(34998,plain,
% 51.83/34.41 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB158) | (~v164(constB158))),
% 51.83/34.41 inference(modus_ponens,[status(thm)],[34997, 34996])).
% 51.83/34.41 tff(34999,plain,
% 51.83/34.41 (~v164(constB158)),
% 51.83/34.41 inference(unit_resolution,[status(thm)],[34998, 13806, 34995])).
% 51.83/34.42 tff(35000,plain,
% 51.83/34.42 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB158) | v164(constB158) | (~v160(constB158)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB158) | v164(constB158) | (~v160(constB158)))),
% 51.83/34.42 inference(rewrite,[status(thm)],[])).
% 51.83/34.42 tff(35001,plain,
% 51.83/34.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB158) | v164(constB158) | (~v160(constB158)))),
% 51.83/34.42 inference(quant_inst,[status(thm)],[])).
% 51.83/34.42 tff(35002,plain,
% 51.83/34.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB158) | v164(constB158) | (~v160(constB158))),
% 51.83/34.42 inference(modus_ponens,[status(thm)],[35001, 35000])).
% 51.83/34.42 tff(35003,plain,
% 51.83/34.42 (v163(constB158) | (~v160(constB158))),
% 51.83/34.42 inference(unit_resolution,[status(thm)],[35002, 13754, 34999])).
% 51.83/34.42 tff(35004,plain,
% 51.83/34.42 (~v160(constB158)),
% 51.83/34.42 inference(unit_resolution,[status(thm)],[35003, 34987])).
% 51.83/34.42 tff(35005,plain,
% 51.83/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB158, constB159)) | v160(constB158) | (~v162(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB158, constB159)) | v160(constB158) | (~v162(constB159)))),
% 51.83/34.42 inference(rewrite,[status(thm)],[])).
% 51.83/34.42 tff(35006,plain,
% 51.83/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB158, constB159)) | v160(constB158) | (~v162(constB159)))),
% 51.83/34.42 inference(quant_inst,[status(thm)],[])).
% 51.83/34.42 tff(35007,plain,
% 51.83/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB158, constB159)) | v160(constB158) | (~v162(constB159))),
% 51.83/34.42 inference(modus_ponens,[status(thm)],[35006, 35005])).
% 51.83/34.42 tff(35008,plain,
% 51.83/34.42 (v160(constB158) | (~v162(constB159))),
% 51.83/34.42 inference(unit_resolution,[status(thm)],[35007, 13769, 20109])).
% 51.83/34.42 tff(35009,plain,
% 51.83/34.42 (~v162(constB159)),
% 51.83/34.42 inference(unit_resolution,[status(thm)],[35008, 35004])).
% 51.83/34.42 tff(35010,plain,
% 51.83/34.42 ($false),
% 51.83/34.42 inference(unit_resolution,[status(thm)],[35009, 34847])).
% 51.83/34.42 tff(35011,plain,(~(constB159 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.42 tff(35012,assumption,(constB60 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.42 tff(35013,plain,
% 51.83/34.42 (v1(constB60) <=> v1(sK0_VarCurr)),
% 51.83/34.42 inference(monotonicity,[status(thm)],[35012])).
% 51.83/34.42 tff(35014,plain,
% 51.83/34.42 (v1(sK0_VarCurr) <=> v1(constB60)),
% 51.83/34.42 inference(symmetry,[status(thm)],[35013])).
% 51.83/34.42 tff(35015,plain,
% 51.83/34.42 ((~v1(sK0_VarCurr)) <=> (~v1(constB60))),
% 51.83/34.42 inference(monotonicity,[status(thm)],[35014])).
% 51.83/34.42 tff(35016,plain,
% 51.83/34.42 (~v1(constB60)),
% 51.83/34.42 inference(modus_ponens,[status(thm)],[25725, 35015])).
% 51.83/34.42 tff(35017,plain,
% 51.83/34.42 ($false),
% 51.83/34.42 inference(unit_resolution,[status(thm)],[8172, 35016])).
% 51.83/34.42 tff(35018,plain,(~(constB60 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.83/34.42 tff(35019,assumption,(constB177 = sK0_VarCurr), introduced(assumption)).
% 51.83/34.42 tff(35020,plain,
% 51.83/34.42 (v162(constB177) <=> v162(sK0_VarCurr)),
% 51.83/34.42 inference(monotonicity,[status(thm)],[35019])).
% 51.83/34.42 tff(35021,plain,
% 51.83/34.42 (v162(sK0_VarCurr) <=> v162(constB177)),
% 51.83/34.42 inference(symmetry,[status(thm)],[35020])).
% 51.83/34.42 tff(35022,plain,
% 51.83/34.42 (v162(constB177)),
% 51.83/34.42 inference(modus_ponens,[status(thm)],[13315, 35021])).
% 51.83/34.42 tff(35023,plain,
% 51.83/34.42 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB171)) | (~v84(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB171)) | (~v84(constB171, bitIndex1)))),
% 51.83/34.42 inference(rewrite,[status(thm)],[])).
% 51.83/34.42 tff(35024,plain,
% 51.83/34.42 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB171)) | (~v84(constB171, bitIndex1)))),
% 51.83/34.42 inference(quant_inst,[status(thm)],[])).
% 51.83/34.42 tff(35025,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB171)) | (~v84(constB171, bitIndex1))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35024, 35023])).
% 51.93/34.42 tff(35026,plain,
% 51.93/34.42 (~v145(constB171)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35025, 1091, 21583])).
% 51.93/34.42 tff(35027,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB171) | (~v144(constB171)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB171) | (~v144(constB171)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35028,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB171) | (~v144(constB171)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35029,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB171) | (~v144(constB171))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35028, 35027])).
% 51.93/34.42 tff(35030,plain,
% 51.93/34.42 (~v144(constB171)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35029, 13439, 35026])).
% 51.93/34.42 tff(35031,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB171) | (~v142(constB171)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB171) | (~v142(constB171)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35032,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB171) | (~v142(constB171)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35033,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB171) | (~v142(constB171))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35032, 35031])).
% 51.93/34.42 tff(35034,plain,
% 51.93/34.42 (~v142(constB171)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35033, 13453, 35030])).
% 51.93/34.42 tff(35035,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB171)) | (~v140(constB171)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB171)) | (~v140(constB171)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35036,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB171)) | (~v140(constB171)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35037,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB171)) | (~v140(constB171))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35036, 35035])).
% 51.93/34.42 tff(35038,plain,
% 51.93/34.42 (~v138(constB171)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35037, 13495, 25856])).
% 51.93/34.42 tff(35039,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB171) | v142(constB171) | (~v135(constB171)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB171) | v142(constB171) | (~v135(constB171)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35040,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB171) | v142(constB171) | (~v135(constB171)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35041,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB171) | v142(constB171) | (~v135(constB171))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35040, 35039])).
% 51.93/34.42 tff(35042,plain,
% 51.93/34.42 (v142(constB171) | (~v135(constB171))),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35041, 13509, 35038])).
% 51.93/34.42 tff(35043,plain,
% 51.93/34.42 (~v135(constB171)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35042, 35034])).
% 51.93/34.42 tff(35044,plain,
% 51.93/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB171, constB172)) | v135(constB171) | (~v137(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB171, constB172)) | v135(constB171) | (~v137(constB172)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35045,plain,
% 51.93/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB171, constB172)) | v135(constB171) | (~v137(constB172)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35046,plain,
% 51.93/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB171, constB172)) | v135(constB171) | (~v137(constB172))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35045, 35044])).
% 51.93/34.42 tff(35047,plain,
% 51.93/34.42 (v135(constB171) | (~v137(constB172))),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35046, 13524, 21662])).
% 51.93/34.42 tff(35048,plain,
% 51.93/34.42 (~v137(constB172)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35047, 35043])).
% 51.93/34.42 tff(35049,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB172) | (~v138(constB172)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB172) | (~v138(constB172)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35050,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB172) | (~v138(constB172)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35051,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB172) | (~v138(constB172))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35050, 35049])).
% 51.93/34.42 tff(35052,plain,
% 51.93/34.42 (~v138(constB172)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35051, 13539, 35048])).
% 51.93/34.42 tff(35053,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB172) | (~v144(constB172)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB172) | (~v144(constB172)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35054,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB172) | (~v144(constB172)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35055,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB172) | (~v144(constB172))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35054, 35053])).
% 51.93/34.42 tff(35056,plain,
% 51.93/34.42 (~v144(constB172)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35055, 13567, 25878])).
% 51.93/34.42 tff(35057,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB172) | (~v142(constB172)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB172) | (~v142(constB172)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35058,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB172) | (~v142(constB172)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35059,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB172) | (~v142(constB172))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35058, 35057])).
% 51.93/34.42 tff(35060,plain,
% 51.93/34.42 (~v142(constB172)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35059, 13453, 35056])).
% 51.93/34.42 tff(35061,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB172) | v142(constB172) | (~v135(constB172)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB172) | v142(constB172) | (~v135(constB172)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35062,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB172) | v142(constB172) | (~v135(constB172)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35063,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB172) | v142(constB172) | (~v135(constB172))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35062, 35061])).
% 51.93/34.42 tff(35064,plain,
% 51.93/34.42 (v138(constB172) | (~v135(constB172))),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35063, 13509, 35060])).
% 51.93/34.42 tff(35065,plain,
% 51.93/34.42 (~v135(constB172)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35064, 35052])).
% 51.93/34.42 tff(35066,plain,
% 51.93/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB172, constB173)) | v135(constB172) | (~v137(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB172, constB173)) | v135(constB172) | (~v137(constB173)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35067,plain,
% 51.93/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB172, constB173)) | v135(constB172) | (~v137(constB173)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35068,plain,
% 51.93/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB172, constB173)) | v135(constB172) | (~v137(constB173))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35067, 35066])).
% 51.93/34.42 tff(35069,plain,
% 51.93/34.42 (v135(constB172) | (~v137(constB173))),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35068, 13524, 21724])).
% 51.93/34.42 tff(35070,plain,
% 51.93/34.42 (~v137(constB173)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35069, 35065])).
% 51.93/34.42 tff(35071,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB173) | (~v154(constB173)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB173) | (~v154(constB173)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35072,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB173) | (~v154(constB173)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35073,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB173) | (~v154(constB173))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35072, 35071])).
% 51.93/34.42 tff(35074,plain,
% 51.93/34.42 (~v154(constB173)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35073, 13595, 35070])).
% 51.93/34.42 tff(35075,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB173)) | (~v153(constB173)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB173)) | (~v153(constB173)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35076,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB173)) | (~v153(constB173)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35077,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB173)) | (~v153(constB173))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35076, 35075])).
% 51.93/34.42 tff(35078,plain,
% 51.93/34.42 (~v153(constB173)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35077, 13640, 25931])).
% 51.93/34.42 tff(35079,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB173) | v154(constB173) | (~v150(constB173)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB173) | v154(constB173) | (~v150(constB173)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35080,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB173) | v154(constB173) | (~v150(constB173)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35081,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB173) | v154(constB173) | (~v150(constB173))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35080, 35079])).
% 51.93/34.42 tff(35082,plain,
% 51.93/34.42 (v154(constB173) | (~v150(constB173))),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35081, 13654, 35078])).
% 51.93/34.42 tff(35083,plain,
% 51.93/34.42 (~v150(constB173)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35082, 35074])).
% 51.93/34.42 tff(35084,plain,
% 51.93/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB173, constB174)) | v150(constB173) | (~v152(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB173, constB174)) | v150(constB173) | (~v152(constB174)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35085,plain,
% 51.93/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB173, constB174)) | v150(constB173) | (~v152(constB174)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35086,plain,
% 51.93/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB173, constB174)) | v150(constB173) | (~v152(constB174))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35085, 35084])).
% 51.93/34.42 tff(35087,plain,
% 51.93/34.42 (v150(constB173) | (~v152(constB174))),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35086, 13669, 21857])).
% 51.93/34.42 tff(35088,plain,
% 51.93/34.42 (~v152(constB174)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35087, 35083])).
% 51.93/34.42 tff(35089,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB174) | (~v153(constB174)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB174) | (~v153(constB174)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35090,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB174) | (~v153(constB174)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35091,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB174) | (~v153(constB174))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35090, 35089])).
% 51.93/34.42 tff(35092,plain,
% 51.93/34.42 (~v153(constB174)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35091, 13684, 35088])).
% 51.93/34.42 tff(35093,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB174) | (~v154(constB174)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB174) | (~v154(constB174)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35094,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB174) | (~v154(constB174)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35095,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB174) | (~v154(constB174))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35094, 35093])).
% 51.93/34.42 tff(35096,plain,
% 51.93/34.42 (~v154(constB174)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35095, 13716, 25957])).
% 51.93/34.42 tff(35097,plain,
% 51.93/34.42 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB174) | v154(constB174) | (~v150(constB174)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB174) | v154(constB174) | (~v150(constB174)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35098,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB174) | v154(constB174) | (~v150(constB174)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35099,plain,
% 51.93/34.42 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB174) | v154(constB174) | (~v150(constB174))),
% 51.93/34.42 inference(modus_ponens,[status(thm)],[35098, 35097])).
% 51.93/34.42 tff(35100,plain,
% 51.93/34.42 (v153(constB174) | (~v150(constB174))),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35099, 13654, 35096])).
% 51.93/34.42 tff(35101,plain,
% 51.93/34.42 (~v150(constB174)),
% 51.93/34.42 inference(unit_resolution,[status(thm)],[35100, 35092])).
% 51.93/34.42 tff(35102,plain,
% 51.93/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB174, constB175)) | v150(constB174) | (~v152(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB174, constB175)) | v150(constB174) | (~v152(constB175)))),
% 51.93/34.42 inference(rewrite,[status(thm)],[])).
% 51.93/34.42 tff(35103,plain,
% 51.93/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB174, constB175)) | v150(constB174) | (~v152(constB175)))),
% 51.93/34.42 inference(quant_inst,[status(thm)],[])).
% 51.93/34.42 tff(35104,plain,
% 51.93/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB174, constB175)) | v150(constB174) | (~v152(constB175))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35103, 35102])).
% 51.93/34.43 tff(35105,plain,
% 51.93/34.43 (v150(constB174) | (~v152(constB175))),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35104, 13669, 21919])).
% 51.93/34.43 tff(35106,plain,
% 51.93/34.43 (~v152(constB175)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35105, 35101])).
% 51.93/34.43 tff(35107,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB175) | (~v164(constB175)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB175) | (~v164(constB175)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35108,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB175) | (~v164(constB175)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35109,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB175) | (~v164(constB175))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35108, 35107])).
% 51.93/34.43 tff(35110,plain,
% 51.93/34.43 (~v164(constB175)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35109, 13740, 35106])).
% 51.93/34.43 tff(35111,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB175)) | (~v163(constB175)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB175)) | (~v163(constB175)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35112,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB175)) | (~v163(constB175)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35113,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB175)) | (~v163(constB175))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35112, 35111])).
% 51.93/34.43 tff(35114,plain,
% 51.93/34.43 (~v163(constB175)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35113, 13421, 28384])).
% 51.93/34.43 tff(35115,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB175) | v164(constB175) | (~v160(constB175)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB175) | v164(constB175) | (~v160(constB175)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35116,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB175) | v164(constB175) | (~v160(constB175)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35117,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB175) | v164(constB175) | (~v160(constB175))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35116, 35115])).
% 51.93/34.43 tff(35118,plain,
% 51.93/34.43 (v164(constB175) | (~v160(constB175))),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35117, 13754, 35114])).
% 51.93/34.43 tff(35119,plain,
% 51.93/34.43 (~v160(constB175)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35118, 35110])).
% 51.93/34.43 tff(35120,plain,
% 51.93/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB175, constB176)) | v160(constB175) | (~v162(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB175, constB176)) | v160(constB175) | (~v162(constB176)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35121,plain,
% 51.93/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB175, constB176)) | v160(constB175) | (~v162(constB176)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35122,plain,
% 51.93/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB175, constB176)) | v160(constB175) | (~v162(constB176))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35121, 35120])).
% 51.93/34.43 tff(35123,plain,
% 51.93/34.43 (v160(constB175) | (~v162(constB176))),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35122, 13769, 22032])).
% 51.93/34.43 tff(35124,plain,
% 51.93/34.43 (~v162(constB176)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35123, 35119])).
% 51.93/34.43 tff(35125,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB176) | (~v163(constB176)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB176) | (~v163(constB176)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35126,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB176) | (~v163(constB176)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35127,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB176) | (~v163(constB176))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35126, 35125])).
% 51.93/34.43 tff(35128,plain,
% 51.93/34.43 (~v163(constB176)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35127, 13784, 35124])).
% 51.93/34.43 tff(35129,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB176) | (~v164(constB176)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB176) | (~v164(constB176)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35130,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB176) | (~v164(constB176)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35131,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB176) | (~v164(constB176))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35130, 35129])).
% 51.93/34.43 tff(35132,plain,
% 51.93/34.43 (~v164(constB176)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35131, 13806, 28410])).
% 51.93/34.43 tff(35133,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB176) | v164(constB176) | (~v160(constB176)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB176) | v164(constB176) | (~v160(constB176)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35134,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB176) | v164(constB176) | (~v160(constB176)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35135,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB176) | v164(constB176) | (~v160(constB176))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35134, 35133])).
% 51.93/34.43 tff(35136,plain,
% 51.93/34.43 (v163(constB176) | (~v160(constB176))),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35135, 13754, 35132])).
% 51.93/34.43 tff(35137,plain,
% 51.93/34.43 (~v160(constB176)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35136, 35128])).
% 51.93/34.43 tff(35138,plain,
% 51.93/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB176, constB177)) | v160(constB176) | (~v162(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB176, constB177)) | v160(constB176) | (~v162(constB177)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35139,plain,
% 51.93/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB176, constB177)) | v160(constB176) | (~v162(constB177)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35140,plain,
% 51.93/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB176, constB177)) | v160(constB176) | (~v162(constB177))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35139, 35138])).
% 51.93/34.43 tff(35141,plain,
% 51.93/34.43 (v160(constB176) | (~v162(constB177))),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35140, 13769, 22303])).
% 51.93/34.43 tff(35142,plain,
% 51.93/34.43 (~v162(constB177)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35141, 35137])).
% 51.93/34.43 tff(35143,plain,
% 51.93/34.43 ($false),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35142, 35022])).
% 51.93/34.43 tff(35144,plain,(~(constB177 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.93/34.43 tff(35145,assumption,(constB106 = sK0_VarCurr), introduced(assumption)).
% 51.93/34.43 tff(35146,plain,
% 51.93/34.43 (v1(constB106) <=> v1(sK0_VarCurr)),
% 51.93/34.43 inference(monotonicity,[status(thm)],[35145])).
% 51.93/34.43 tff(35147,plain,
% 51.93/34.43 (v1(sK0_VarCurr) <=> v1(constB106)),
% 51.93/34.43 inference(symmetry,[status(thm)],[35146])).
% 51.93/34.43 tff(35148,plain,
% 51.93/34.43 ((~v1(sK0_VarCurr)) <=> (~v1(constB106))),
% 51.93/34.43 inference(monotonicity,[status(thm)],[35147])).
% 51.93/34.43 tff(35149,plain,
% 51.93/34.43 (~v1(constB106)),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[25725, 35148])).
% 51.93/34.43 tff(35150,plain,
% 51.93/34.43 ($false),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[14070, 35149])).
% 51.93/34.43 tff(35151,plain,(~(constB106 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.93/34.43 tff(35152,assumption,(constB99 = sK0_VarCurr), introduced(assumption)).
% 51.93/34.43 tff(35153,plain,
% 51.93/34.43 (v162(constB99) <=> v162(sK0_VarCurr)),
% 51.93/34.43 inference(monotonicity,[status(thm)],[35152])).
% 51.93/34.43 tff(35154,plain,
% 51.93/34.43 (v162(sK0_VarCurr) <=> v162(constB99)),
% 51.93/34.43 inference(symmetry,[status(thm)],[35153])).
% 51.93/34.43 tff(35155,plain,
% 51.93/34.43 (v162(constB99)),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[13315, 35154])).
% 51.93/34.43 tff(35156,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB97) | (~v164(constB97)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB97) | (~v164(constB97)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35157,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB97) | (~v164(constB97)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35158,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB97) | (~v164(constB97))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35157, 35156])).
% 51.93/34.43 tff(35159,plain,
% 51.93/34.43 (~v164(constB97)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35158, 13740, 25099])).
% 51.93/34.43 tff(35160,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB91)) | (~v84(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB91)) | (~v84(constB91, bitIndex1)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35161,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB91)) | (~v84(constB91, bitIndex1)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35162,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB91)) | (~v84(constB91, bitIndex1))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35161, 35160])).
% 51.93/34.43 tff(35163,plain,
% 51.93/34.43 (~v145(constB91)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35162, 1091, 11734])).
% 51.93/34.43 tff(35164,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB91) | (~v144(constB91)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB91) | (~v144(constB91)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35165,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB91) | (~v144(constB91)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35166,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB91) | (~v144(constB91))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35165, 35164])).
% 51.93/34.43 tff(35167,plain,
% 51.93/34.43 (~v144(constB91)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35166, 13439, 35163])).
% 51.93/34.43 tff(35168,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB91) | (~v142(constB91)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB91) | (~v142(constB91)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35169,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB91) | (~v142(constB91)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35170,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB91) | (~v142(constB91))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35169, 35168])).
% 51.93/34.43 tff(35171,plain,
% 51.93/34.43 (~v142(constB91)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35170, 13453, 35167])).
% 51.93/34.43 tff(35172,assumption,(v18(constB92)), introduced(assumption)).
% 51.93/34.43 tff(35173,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB92))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35174,plain,
% 51.93/34.43 ($false),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35173, 13324, 35172])).
% 51.93/34.43 tff(35175,plain,(~v18(constB92)), inference(lemma,lemma(discharge,[]))).
% 51.93/34.43 tff(35176,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB92) | (~v1(constB92)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB92) | (~v1(constB92)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35177,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB92) | (~v1(constB92)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35178,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB92) | (~v1(constB92))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35177, 35176])).
% 51.93/34.43 tff(35179,plain,
% 51.93/34.43 (v22(constB92)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35178, 13337, 11833])).
% 51.93/34.43 tff(35180,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB92) | (~v22(constB92)) | (~v19(constB92)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB92) | (~v22(constB92)) | (~v19(constB92)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35181,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB92) | (~v22(constB92)) | (~v19(constB92)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35182,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB92) | (~v22(constB92)) | (~v19(constB92))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35181, 35180])).
% 51.93/34.43 tff(35183,plain,
% 51.93/34.43 (v18(constB92) | (~v19(constB92))),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35182, 13351, 35179])).
% 51.93/34.43 tff(35184,plain,
% 51.93/34.43 (~v19(constB92)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35183, 35175])).
% 51.93/34.43 tff(35185,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB92) | v19(constB92))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB92) | v19(constB92))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35186,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB92) | v19(constB92))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35187,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB92) | v19(constB92)),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35186, 35185])).
% 51.93/34.43 tff(35188,plain,
% 51.93/34.43 (v13(constB92)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35187, 13363, 35184])).
% 51.93/34.43 tff(35189,plain,
% 51.93/34.43 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB91) | (~v13(constB92)) | (~nextState(constB91, constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB91) | (~v13(constB92)) | (~nextState(constB91, constB92)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35190,plain,
% 51.93/34.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB91) | (~v13(constB92)) | (~nextState(constB91, constB92)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35191,plain,
% 51.93/34.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB91) | (~v13(constB92)) | (~nextState(constB91, constB92))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35190, 35189])).
% 51.93/34.43 tff(35192,plain,
% 51.93/34.43 (v9(constB91) | (~v13(constB92))),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35191, 13377, 11813])).
% 51.93/34.43 tff(35193,plain,
% 51.93/34.43 (v9(constB91)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35192, 35188])).
% 51.93/34.43 tff(35194,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB91) | (~v9(constB91)) | v141(constB91))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB91) | (~v9(constB91)) | v141(constB91))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35195,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB91) | (~v9(constB91)) | v141(constB91))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35196,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB91) | (~v9(constB91)) | v141(constB91)),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35195, 35194])).
% 51.93/34.43 tff(35197,plain,
% 51.93/34.43 ((~v9(constB91)) | v141(constB91)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35196, 13392, 11679])).
% 51.93/34.43 tff(35198,plain,
% 51.93/34.43 (v141(constB91)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35197, 35193])).
% 51.93/34.43 tff(35199,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB91) | (~v141(constB91)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB91) | (~v141(constB91)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35200,plain,
% 51.93/34.43 (((~v141(constB91)) | v140(constB91)) <=> (v140(constB91) | (~v141(constB91)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35201,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB91)) | v140(constB91))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB91) | (~v141(constB91))))),
% 51.93/34.43 inference(monotonicity,[status(thm)],[35200])).
% 51.93/34.43 tff(35202,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB91)) | v140(constB91))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB91) | (~v141(constB91)))),
% 51.93/34.43 inference(transitivity,[status(thm)],[35201, 35199])).
% 51.93/34.43 tff(35203,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB91)) | v140(constB91))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35204,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB91) | (~v141(constB91))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35203, 35202])).
% 51.93/34.43 tff(35205,plain,
% 51.93/34.43 (v140(constB91)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35204, 13404, 35198])).
% 51.93/34.43 tff(35206,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB91)) | (~v140(constB91)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB91)) | (~v140(constB91)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35207,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB91)) | (~v140(constB91)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35208,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB91)) | (~v140(constB91))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35207, 35206])).
% 51.93/34.43 tff(35209,plain,
% 51.93/34.43 (~v138(constB91)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35208, 13495, 35205])).
% 51.93/34.43 tff(35210,plain,
% 51.93/34.43 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB91) | v142(constB91) | (~v135(constB91)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB91) | v142(constB91) | (~v135(constB91)))),
% 51.93/34.43 inference(rewrite,[status(thm)],[])).
% 51.93/34.43 tff(35211,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB91) | v142(constB91) | (~v135(constB91)))),
% 51.93/34.43 inference(quant_inst,[status(thm)],[])).
% 51.93/34.43 tff(35212,plain,
% 51.93/34.43 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB91) | v142(constB91) | (~v135(constB91))),
% 51.93/34.43 inference(modus_ponens,[status(thm)],[35211, 35210])).
% 51.93/34.43 tff(35213,plain,
% 51.93/34.43 (v142(constB91) | (~v135(constB91))),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35212, 13509, 35209])).
% 51.93/34.43 tff(35214,plain,
% 51.93/34.43 (~v135(constB91)),
% 51.93/34.43 inference(unit_resolution,[status(thm)],[35213, 35171])).
% 51.93/34.43 tff(35215,plain,
% 51.93/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35216,plain,
% 51.93/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35217,plain,
% 51.93/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35216, 35215])).
% 51.93/34.44 tff(35218,plain,
% 51.93/34.44 (v135(constB91) | (~v137(constB92))),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35217, 13524, 11813])).
% 51.93/34.44 tff(35219,plain,
% 51.93/34.44 (~v137(constB92)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35218, 35214])).
% 51.93/34.44 tff(35220,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB92) | (~v138(constB92)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB92) | (~v138(constB92)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35221,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB92) | (~v138(constB92)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35222,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB92) | (~v138(constB92))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35221, 35220])).
% 51.93/34.44 tff(35223,plain,
% 51.93/34.44 (~v138(constB92)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35222, 13539, 35219])).
% 51.93/34.44 tff(35224,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB92)) | (~v141(constB92)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB92)) | (~v141(constB92)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35225,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB92)) | (~v141(constB92)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35226,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB92)) | (~v141(constB92))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35225, 35224])).
% 51.93/34.44 tff(35227,plain,
% 51.93/34.44 (~v141(constB92)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35226, 13553, 11833])).
% 51.93/34.44 tff(35228,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB92) | (~v144(constB92)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB92) | (~v144(constB92)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35229,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB92) | (~v144(constB92)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35230,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB92) | (~v144(constB92))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35229, 35228])).
% 51.93/34.44 tff(35231,plain,
% 51.93/34.44 (~v144(constB92)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35230, 13567, 35227])).
% 51.93/34.44 tff(35232,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB92) | (~v142(constB92)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB92) | (~v142(constB92)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35233,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB92) | (~v142(constB92)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35234,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB92) | (~v142(constB92))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35233, 35232])).
% 51.93/34.44 tff(35235,plain,
% 51.93/34.44 (~v142(constB92)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35234, 13453, 35231])).
% 51.93/34.44 tff(35236,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB92) | v142(constB92) | (~v135(constB92)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB92) | v142(constB92) | (~v135(constB92)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35237,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB92) | v142(constB92) | (~v135(constB92)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35238,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB92) | v142(constB92) | (~v135(constB92))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35237, 35236])).
% 51.93/34.44 tff(35239,plain,
% 51.93/34.44 (v138(constB92) | (~v135(constB92))),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35238, 13509, 35235])).
% 51.93/34.44 tff(35240,plain,
% 51.93/34.44 (~v135(constB92)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35239, 35223])).
% 51.93/34.44 tff(35241,plain,
% 51.93/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35242,plain,
% 51.93/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35243,plain,
% 51.93/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35242, 35241])).
% 51.93/34.44 tff(35244,plain,
% 51.93/34.44 (v135(constB92) | (~v137(constB93))),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35243, 13524, 11875])).
% 51.93/34.44 tff(35245,plain,
% 51.93/34.44 (~v137(constB93)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35244, 35240])).
% 51.93/34.44 tff(35246,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB93) | (~v154(constB93)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB93) | (~v154(constB93)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35247,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB93) | (~v154(constB93)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35248,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB93) | (~v154(constB93))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35247, 35246])).
% 51.93/34.44 tff(35249,plain,
% 51.93/34.44 (~v154(constB93)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35248, 13595, 35245])).
% 51.93/34.44 tff(35250,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB93)) | (~v153(constB93)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB93)) | (~v153(constB93)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35251,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB93)) | (~v153(constB93)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35252,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB93)) | (~v153(constB93))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35251, 35250])).
% 51.93/34.44 tff(35253,plain,
% 51.93/34.44 (~v153(constB93)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35252, 13640, 25019])).
% 51.93/34.44 tff(35254,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB93) | v154(constB93) | (~v150(constB93)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB93) | v154(constB93) | (~v150(constB93)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35255,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB93) | v154(constB93) | (~v150(constB93)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35256,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB93) | v154(constB93) | (~v150(constB93))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35255, 35254])).
% 51.93/34.44 tff(35257,plain,
% 51.93/34.44 (v154(constB93) | (~v150(constB93))),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35256, 13654, 35253])).
% 51.93/34.44 tff(35258,plain,
% 51.93/34.44 (~v150(constB93)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35257, 35249])).
% 51.93/34.44 tff(35259,plain,
% 51.93/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35260,plain,
% 51.93/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35261,plain,
% 51.93/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35260, 35259])).
% 51.93/34.44 tff(35262,plain,
% 51.93/34.44 (v150(constB93) | (~v152(constB94))),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35261, 13669, 12005])).
% 51.93/34.44 tff(35263,plain,
% 51.93/34.44 (~v152(constB94)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35262, 35258])).
% 51.93/34.44 tff(35264,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB94) | (~v153(constB94)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB94) | (~v153(constB94)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35265,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB94) | (~v153(constB94)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35266,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB94) | (~v153(constB94))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35265, 35264])).
% 51.93/34.44 tff(35267,plain,
% 51.93/34.44 (~v153(constB94)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35266, 13684, 35263])).
% 51.93/34.44 tff(35268,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB94) | (~v155(constB94)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB94) | (~v155(constB94)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35269,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB94) | (~v155(constB94)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35270,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB94) | (~v155(constB94))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35269, 35268])).
% 51.93/34.44 tff(35271,plain,
% 51.93/34.44 (~v155(constB94)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35270, 13702, 25041])).
% 51.93/34.44 tff(35272,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB94) | (~v154(constB94)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB94) | (~v154(constB94)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35273,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB94) | (~v154(constB94)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35274,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB94) | (~v154(constB94))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35273, 35272])).
% 51.93/34.44 tff(35275,plain,
% 51.93/34.44 (~v154(constB94)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35274, 13716, 35271])).
% 51.93/34.44 tff(35276,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB94) | v154(constB94) | (~v150(constB94)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB94) | v154(constB94) | (~v150(constB94)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35277,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB94) | v154(constB94) | (~v150(constB94)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35278,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB94) | v154(constB94) | (~v150(constB94))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35277, 35276])).
% 51.93/34.44 tff(35279,plain,
% 51.93/34.44 (v153(constB94) | (~v150(constB94))),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35278, 13654, 35275])).
% 51.93/34.44 tff(35280,plain,
% 51.93/34.44 (~v150(constB94)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35279, 35267])).
% 51.93/34.44 tff(35281,plain,
% 51.93/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35282,plain,
% 51.93/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35283,plain,
% 51.93/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35282, 35281])).
% 51.93/34.44 tff(35284,plain,
% 51.93/34.44 (v150(constB94) | (~v152(constB95))),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35283, 13669, 12067])).
% 51.93/34.44 tff(35285,plain,
% 51.93/34.44 (~v152(constB95)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35284, 35280])).
% 51.93/34.44 tff(35286,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB95) | (~v164(constB95)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB95) | (~v164(constB95)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35287,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB95) | (~v164(constB95)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35288,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB95) | (~v164(constB95))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35287, 35286])).
% 51.93/34.44 tff(35289,plain,
% 51.93/34.44 (~v164(constB95)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35288, 13740, 35285])).
% 51.93/34.44 tff(35290,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB95)) | (~v163(constB95)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB95)) | (~v163(constB95)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35291,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB95)) | (~v163(constB95)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35292,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB95)) | (~v163(constB95))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35291, 35290])).
% 51.93/34.44 tff(35293,plain,
% 51.93/34.44 (~v163(constB95)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35292, 13421, 24932])).
% 51.93/34.44 tff(35294,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB95) | v164(constB95) | (~v160(constB95)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB95) | v164(constB95) | (~v160(constB95)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35295,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB95) | v164(constB95) | (~v160(constB95)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35296,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB95) | v164(constB95) | (~v160(constB95))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35295, 35294])).
% 51.93/34.44 tff(35297,plain,
% 51.93/34.44 (v164(constB95) | (~v160(constB95))),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35296, 13754, 35293])).
% 51.93/34.44 tff(35298,plain,
% 51.93/34.44 (~v160(constB95)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35297, 35289])).
% 51.93/34.44 tff(35299,plain,
% 51.93/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35300,plain,
% 51.93/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35301,plain,
% 51.93/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35300, 35299])).
% 51.93/34.44 tff(35302,plain,
% 51.93/34.44 (v160(constB95) | (~v162(constB96))),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35301, 13769, 12180])).
% 51.93/34.44 tff(35303,plain,
% 51.93/34.44 (~v162(constB96)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35302, 35298])).
% 51.93/34.44 tff(35304,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB96) | (~v163(constB96)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB96) | (~v163(constB96)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35305,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB96) | (~v163(constB96)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35306,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB96) | (~v163(constB96))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35305, 35304])).
% 51.93/34.44 tff(35307,plain,
% 51.93/34.44 (~v163(constB96)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35306, 13784, 35303])).
% 51.93/34.44 tff(35308,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB96) | (~v164(constB96)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB96) | (~v164(constB96)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35309,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB96) | (~v164(constB96)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35310,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB96) | (~v164(constB96))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35309, 35308])).
% 51.93/34.44 tff(35311,plain,
% 51.93/34.44 (~v164(constB96)),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35310, 13806, 25085])).
% 51.93/34.44 tff(35312,plain,
% 51.93/34.44 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB96) | v164(constB96) | (~v160(constB96)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB96) | v164(constB96) | (~v160(constB96)))),
% 51.93/34.44 inference(rewrite,[status(thm)],[])).
% 51.93/34.44 tff(35313,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB96) | v164(constB96) | (~v160(constB96)))),
% 51.93/34.44 inference(quant_inst,[status(thm)],[])).
% 51.93/34.44 tff(35314,plain,
% 51.93/34.44 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB96) | v164(constB96) | (~v160(constB96))),
% 51.93/34.44 inference(modus_ponens,[status(thm)],[35313, 35312])).
% 51.93/34.44 tff(35315,plain,
% 51.93/34.44 (v163(constB96) | (~v160(constB96))),
% 51.93/34.44 inference(unit_resolution,[status(thm)],[35314, 13754, 35311])).
% 51.93/34.45 tff(35316,plain,
% 51.93/34.45 (~v160(constB96)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35315, 35307])).
% 51.93/34.45 tff(35317,plain,
% 51.93/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35318,plain,
% 51.93/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35319,plain,
% 51.93/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35318, 35317])).
% 51.93/34.45 tff(35320,plain,
% 51.93/34.45 (v160(constB96) | (~v162(constB97))),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35319, 13769, 12269])).
% 51.93/34.45 tff(35321,plain,
% 51.93/34.45 (~v162(constB97)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35320, 35316])).
% 51.93/34.45 tff(35322,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB97) | (~v163(constB97)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB97) | (~v163(constB97)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35323,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB97) | (~v163(constB97)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35324,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB97) | (~v163(constB97))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35323, 35322])).
% 51.93/34.45 tff(35325,plain,
% 51.93/34.45 (~v163(constB97)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35324, 13784, 35321])).
% 51.93/34.45 tff(35326,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB97) | v164(constB97) | (~v160(constB97)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB97) | v164(constB97) | (~v160(constB97)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35327,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB97) | v164(constB97) | (~v160(constB97)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35328,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB97) | v164(constB97) | (~v160(constB97))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35327, 35326])).
% 51.93/34.45 tff(35329,plain,
% 51.93/34.45 (v164(constB97) | (~v160(constB97))),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35328, 13754, 35325])).
% 51.93/34.45 tff(35330,plain,
% 51.93/34.45 (~v160(constB97)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35329, 35159])).
% 51.93/34.45 tff(35331,plain,
% 51.93/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35332,plain,
% 51.93/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35333,plain,
% 51.93/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35332, 35331])).
% 51.93/34.45 tff(35334,plain,
% 51.93/34.45 (v160(constB97) | (~v162(constB98))),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35333, 13769, 12423])).
% 51.93/34.45 tff(35335,plain,
% 51.93/34.45 (~v162(constB98)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35334, 35330])).
% 51.93/34.45 tff(35336,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB98) | (~v163(constB98)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB98) | (~v163(constB98)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35337,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB98) | (~v163(constB98)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35338,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB98) | (~v163(constB98))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35337, 35336])).
% 51.93/34.45 tff(35339,plain,
% 51.93/34.45 (~v163(constB98)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35338, 13784, 35335])).
% 51.93/34.45 tff(35340,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB98) | (~v164(constB98)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB98) | (~v164(constB98)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35341,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB98) | (~v164(constB98)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35342,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB98) | (~v164(constB98))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35341, 35340])).
% 51.93/34.45 tff(35343,plain,
% 51.93/34.45 (~v164(constB98)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35342, 13806, 25125])).
% 51.93/34.45 tff(35344,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB98) | v164(constB98) | (~v160(constB98)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB98) | v164(constB98) | (~v160(constB98)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35345,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB98) | v164(constB98) | (~v160(constB98)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35346,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB98) | v164(constB98) | (~v160(constB98))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35345, 35344])).
% 51.93/34.45 tff(35347,plain,
% 51.93/34.45 (v163(constB98) | (~v160(constB98))),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35346, 13754, 35343])).
% 51.93/34.45 tff(35348,plain,
% 51.93/34.45 (~v160(constB98)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35347, 35339])).
% 51.93/34.45 tff(35349,plain,
% 51.93/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35350,plain,
% 51.93/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35351,plain,
% 51.93/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35350, 35349])).
% 51.93/34.45 tff(35352,plain,
% 51.93/34.45 (v160(constB98) | (~v162(constB99))),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35351, 13769, 12493])).
% 51.93/34.45 tff(35353,plain,
% 51.93/34.45 (~v162(constB99)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35352, 35348])).
% 51.93/34.45 tff(35354,plain,
% 51.93/34.45 ($false),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35353, 35155])).
% 51.93/34.45 tff(35355,plain,(~(constB99 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.93/34.45 tff(35356,assumption,(constB94 = sK0_VarCurr), introduced(assumption)).
% 51.93/34.45 tff(35357,plain,
% 51.93/34.45 (v1(constB94) <=> v1(sK0_VarCurr)),
% 51.93/34.45 inference(monotonicity,[status(thm)],[35356])).
% 51.93/34.45 tff(35358,plain,
% 51.93/34.45 (v1(sK0_VarCurr) <=> v1(constB94)),
% 51.93/34.45 inference(symmetry,[status(thm)],[35357])).
% 51.93/34.45 tff(35359,plain,
% 51.93/34.45 ((~v1(sK0_VarCurr)) <=> (~v1(constB94))),
% 51.93/34.45 inference(monotonicity,[status(thm)],[35358])).
% 51.93/34.45 tff(35360,plain,
% 51.93/34.45 (~v1(constB94)),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[25725, 35359])).
% 51.93/34.45 tff(35361,plain,
% 51.93/34.45 ($false),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[12025, 35360])).
% 51.93/34.45 tff(35362,plain,(~(constB94 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.93/34.45 tff(35363,assumption,(constB32 = sK0_VarCurr), introduced(assumption)).
% 51.93/34.45 tff(35364,plain,
% 51.93/34.45 (v1(constB32) <=> v1(sK0_VarCurr)),
% 51.93/34.45 inference(monotonicity,[status(thm)],[35363])).
% 51.93/34.45 tff(35365,plain,
% 51.93/34.45 (v1(sK0_VarCurr) <=> v1(constB32)),
% 51.93/34.45 inference(symmetry,[status(thm)],[35364])).
% 51.93/34.45 tff(35366,plain,
% 51.93/34.45 ((~v1(sK0_VarCurr)) <=> (~v1(constB32))),
% 51.93/34.45 inference(monotonicity,[status(thm)],[35365])).
% 51.93/34.45 tff(35367,plain,
% 51.93/34.45 (~v1(constB32)),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[25725, 35366])).
% 51.93/34.45 tff(35368,plain,
% 51.93/34.45 ($false),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[5334, 35367])).
% 51.93/34.45 tff(35369,plain,(~(constB32 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.93/34.45 tff(35370,assumption,(constB86 = sK0_VarCurr), introduced(assumption)).
% 51.93/34.45 tff(35371,plain,
% 51.93/34.45 (v1(constB86) <=> v1(sK0_VarCurr)),
% 51.93/34.45 inference(monotonicity,[status(thm)],[35370])).
% 51.93/34.45 tff(35372,plain,
% 51.93/34.45 (v1(sK0_VarCurr) <=> v1(constB86)),
% 51.93/34.45 inference(symmetry,[status(thm)],[35371])).
% 51.93/34.45 tff(35373,plain,
% 51.93/34.45 ((~v1(sK0_VarCurr)) <=> (~v1(constB86))),
% 51.93/34.45 inference(monotonicity,[status(thm)],[35372])).
% 51.93/34.45 tff(35374,plain,
% 51.93/34.45 (~v1(constB86)),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[25725, 35373])).
% 51.93/34.45 tff(35375,plain,
% 51.93/34.45 ($false),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[11174, 35374])).
% 51.93/34.45 tff(35376,plain,(~(constB86 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 51.93/34.45 tff(35377,assumption,(constB129 = sK0_VarCurr), introduced(assumption)).
% 51.93/34.45 tff(35378,plain,
% 51.93/34.45 (v162(constB129) <=> v162(sK0_VarCurr)),
% 51.93/34.45 inference(monotonicity,[status(thm)],[35377])).
% 51.93/34.45 tff(35379,plain,
% 51.93/34.45 (v162(sK0_VarCurr) <=> v162(constB129)),
% 51.93/34.45 inference(symmetry,[status(thm)],[35378])).
% 51.93/34.45 tff(35380,plain,
% 51.93/34.45 (v162(constB129)),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[13315, 35379])).
% 51.93/34.45 tff(35381,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB123)) | (~v84(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB123)) | (~v84(constB123, bitIndex2)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35382,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB123)) | (~v84(constB123, bitIndex2)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35383,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB123)) | (~v84(constB123, bitIndex2))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35382, 35381])).
% 51.93/34.45 tff(35384,plain,
% 51.93/34.45 (~v145(constB123)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35383, 4483, 15818])).
% 51.93/34.45 tff(35385,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB123) | (~v144(constB123)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB123) | (~v144(constB123)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35386,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB123) | (~v144(constB123)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35387,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB123) | (~v144(constB123))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35386, 35385])).
% 51.93/34.45 tff(35388,plain,
% 51.93/34.45 (~v144(constB123)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35387, 13439, 35384])).
% 51.93/34.45 tff(35389,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB123) | (~v142(constB123)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB123) | (~v142(constB123)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35390,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB123) | (~v142(constB123)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35391,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB123) | (~v142(constB123))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35390, 35389])).
% 51.93/34.45 tff(35392,plain,
% 51.93/34.45 (~v142(constB123)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35391, 13453, 35388])).
% 51.93/34.45 tff(35393,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB123)) | (~v140(constB123)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB123)) | (~v140(constB123)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35394,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB123)) | (~v140(constB123)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35395,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB123)) | (~v140(constB123))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35394, 35393])).
% 51.93/34.45 tff(35396,plain,
% 51.93/34.45 (~v138(constB123)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35395, 13495, 34099])).
% 51.93/34.45 tff(35397,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB123) | v142(constB123) | (~v135(constB123)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB123) | v142(constB123) | (~v135(constB123)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35398,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB123) | v142(constB123) | (~v135(constB123)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35399,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB123) | v142(constB123) | (~v135(constB123))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35398, 35397])).
% 51.93/34.45 tff(35400,plain,
% 51.93/34.45 (v142(constB123) | (~v135(constB123))),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35399, 13509, 35396])).
% 51.93/34.45 tff(35401,plain,
% 51.93/34.45 (~v135(constB123)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35400, 35392])).
% 51.93/34.45 tff(35402,plain,
% 51.93/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB123, constB124)) | v135(constB123) | (~v137(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB123, constB124)) | v135(constB123) | (~v137(constB124)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35403,plain,
% 51.93/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB123, constB124)) | v135(constB123) | (~v137(constB124)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35404,plain,
% 51.93/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB123, constB124)) | v135(constB123) | (~v137(constB124))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35403, 35402])).
% 51.93/34.45 tff(35405,plain,
% 51.93/34.45 (v135(constB123) | (~v137(constB124))),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35404, 13524, 15924])).
% 51.93/34.45 tff(35406,plain,
% 51.93/34.45 (~v137(constB124)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35405, 35401])).
% 51.93/34.45 tff(35407,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB124) | (~v138(constB124)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB124) | (~v138(constB124)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35408,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB124) | (~v138(constB124)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35409,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB124) | (~v138(constB124))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35408, 35407])).
% 51.93/34.45 tff(35410,plain,
% 51.93/34.45 (~v138(constB124)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35409, 13539, 35406])).
% 51.93/34.45 tff(35411,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB124) | (~v144(constB124)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB124) | (~v144(constB124)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35412,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB124) | (~v144(constB124)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35413,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB124) | (~v144(constB124))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35412, 35411])).
% 51.93/34.45 tff(35414,plain,
% 51.93/34.45 (~v144(constB124)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35413, 13567, 34121])).
% 51.93/34.45 tff(35415,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB124) | (~v142(constB124)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB124) | (~v142(constB124)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35416,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB124) | (~v142(constB124)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35417,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB124) | (~v142(constB124))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35416, 35415])).
% 51.93/34.45 tff(35418,plain,
% 51.93/34.45 (~v142(constB124)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35417, 13453, 35414])).
% 51.93/34.45 tff(35419,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB124) | v142(constB124) | (~v135(constB124)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB124) | v142(constB124) | (~v135(constB124)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35420,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB124) | v142(constB124) | (~v135(constB124)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35421,plain,
% 51.93/34.45 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB124) | v142(constB124) | (~v135(constB124))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35420, 35419])).
% 51.93/34.45 tff(35422,plain,
% 51.93/34.45 (v138(constB124) | (~v135(constB124))),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35421, 13509, 35418])).
% 51.93/34.45 tff(35423,plain,
% 51.93/34.45 (~v135(constB124)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35422, 35410])).
% 51.93/34.45 tff(35424,plain,
% 51.93/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB124, constB125)) | v135(constB124) | (~v137(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB124, constB125)) | v135(constB124) | (~v137(constB125)))),
% 51.93/34.45 inference(rewrite,[status(thm)],[])).
% 51.93/34.45 tff(35425,plain,
% 51.93/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB124, constB125)) | v135(constB124) | (~v137(constB125)))),
% 51.93/34.45 inference(quant_inst,[status(thm)],[])).
% 51.93/34.45 tff(35426,plain,
% 51.93/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB124, constB125)) | v135(constB124) | (~v137(constB125))),
% 51.93/34.45 inference(modus_ponens,[status(thm)],[35425, 35424])).
% 51.93/34.45 tff(35427,plain,
% 51.93/34.45 (v135(constB124) | (~v137(constB125))),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35426, 13524, 15986])).
% 51.93/34.45 tff(35428,plain,
% 51.93/34.45 (~v137(constB125)),
% 51.93/34.45 inference(unit_resolution,[status(thm)],[35427, 35423])).
% 51.93/34.45 tff(35429,plain,
% 51.93/34.45 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB125) | (~v154(constB125)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB125) | (~v154(constB125)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35430,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB125) | (~v154(constB125)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35431,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB125) | (~v154(constB125))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35430, 35429])).
% 51.93/34.46 tff(35432,plain,
% 51.93/34.46 (~v154(constB125)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35431, 13595, 35428])).
% 51.93/34.46 tff(35433,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB125)) | (~v153(constB125)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB125)) | (~v153(constB125)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35434,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB125)) | (~v153(constB125)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35435,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB125)) | (~v153(constB125))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35434, 35433])).
% 51.93/34.46 tff(35436,plain,
% 51.93/34.46 (~v153(constB125)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35435, 13640, 34174])).
% 51.93/34.46 tff(35437,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB125) | v154(constB125) | (~v150(constB125)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB125) | v154(constB125) | (~v150(constB125)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35438,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB125) | v154(constB125) | (~v150(constB125)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35439,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB125) | v154(constB125) | (~v150(constB125))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35438, 35437])).
% 51.93/34.46 tff(35440,plain,
% 51.93/34.46 (v154(constB125) | (~v150(constB125))),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35439, 13654, 35436])).
% 51.93/34.46 tff(35441,plain,
% 51.93/34.46 (~v150(constB125)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35440, 35432])).
% 51.93/34.46 tff(35442,plain,
% 51.93/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB125, constB126)) | v150(constB125) | (~v152(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB125, constB126)) | v150(constB125) | (~v152(constB126)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35443,plain,
% 51.93/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB125, constB126)) | v150(constB125) | (~v152(constB126)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35444,plain,
% 51.93/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB125, constB126)) | v150(constB125) | (~v152(constB126))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35443, 35442])).
% 51.93/34.46 tff(35445,plain,
% 51.93/34.46 (v150(constB125) | (~v152(constB126))),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35444, 13669, 16102])).
% 51.93/34.46 tff(35446,plain,
% 51.93/34.46 (~v152(constB126)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35445, 35441])).
% 51.93/34.46 tff(35447,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB126) | (~v153(constB126)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB126) | (~v153(constB126)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35448,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB126) | (~v153(constB126)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35449,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB126) | (~v153(constB126))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35448, 35447])).
% 51.93/34.46 tff(35450,plain,
% 51.93/34.46 (~v153(constB126)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35449, 13684, 35446])).
% 51.93/34.46 tff(35451,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB126) | (~v154(constB126)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB126) | (~v154(constB126)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35452,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB126) | (~v154(constB126)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35453,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB126) | (~v154(constB126))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35452, 35451])).
% 51.93/34.46 tff(35454,plain,
% 51.93/34.46 (~v154(constB126)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35453, 13716, 34200])).
% 51.93/34.46 tff(35455,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB126) | v154(constB126) | (~v150(constB126)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB126) | v154(constB126) | (~v150(constB126)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35456,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB126) | v154(constB126) | (~v150(constB126)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35457,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB126) | v154(constB126) | (~v150(constB126))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35456, 35455])).
% 51.93/34.46 tff(35458,plain,
% 51.93/34.46 (v153(constB126) | (~v150(constB126))),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35457, 13654, 35454])).
% 51.93/34.46 tff(35459,plain,
% 51.93/34.46 (~v150(constB126)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35458, 35450])).
% 51.93/34.46 tff(35460,plain,
% 51.93/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB126, constB127)) | v150(constB126) | (~v152(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB126, constB127)) | v150(constB126) | (~v152(constB127)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35461,plain,
% 51.93/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB126, constB127)) | v150(constB126) | (~v152(constB127)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35462,plain,
% 51.93/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB126, constB127)) | v150(constB126) | (~v152(constB127))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35461, 35460])).
% 51.93/34.46 tff(35463,plain,
% 51.93/34.46 (v150(constB126) | (~v152(constB127))),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35462, 13669, 16191])).
% 51.93/34.46 tff(35464,plain,
% 51.93/34.46 (~v152(constB127)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35463, 35459])).
% 51.93/34.46 tff(35465,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB127) | (~v164(constB127)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB127) | (~v164(constB127)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35466,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB127) | (~v164(constB127)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35467,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB127) | (~v164(constB127))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35466, 35465])).
% 51.93/34.46 tff(35468,plain,
% 51.93/34.46 (~v164(constB127)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35467, 13740, 35464])).
% 51.93/34.46 tff(35469,assumption,(v18(constB128)), introduced(assumption)).
% 51.93/34.46 tff(35470,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB128))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35471,plain,
% 51.93/34.46 ($false),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35470, 13324, 35469])).
% 51.93/34.46 tff(35472,plain,(~v18(constB128)), inference(lemma,lemma(discharge,[]))).
% 51.93/34.46 tff(35473,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35474,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35475,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35474, 35473])).
% 51.93/34.46 tff(35476,plain,
% 51.93/34.46 (v22(constB128)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35475, 13337, 16362])).
% 51.93/34.46 tff(35477,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB128) | (~v22(constB128)) | (~v19(constB128)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB128) | (~v22(constB128)) | (~v19(constB128)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35478,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB128) | (~v22(constB128)) | (~v19(constB128)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35479,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB128) | (~v22(constB128)) | (~v19(constB128))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35478, 35477])).
% 51.93/34.46 tff(35480,plain,
% 51.93/34.46 (v18(constB128) | (~v19(constB128))),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35479, 13351, 35476])).
% 51.93/34.46 tff(35481,plain,
% 51.93/34.46 (~v19(constB128)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35480, 35472])).
% 51.93/34.46 tff(35482,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35483,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35484,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128)),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35483, 35482])).
% 51.93/34.46 tff(35485,plain,
% 51.93/34.46 (v13(constB128)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35484, 13363, 35481])).
% 51.93/34.46 tff(35486,plain,
% 51.93/34.46 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35487,plain,
% 51.93/34.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35488,plain,
% 51.93/34.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35487, 35486])).
% 51.93/34.46 tff(35489,plain,
% 51.93/34.46 (v9(constB127) | (~v13(constB128))),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35488, 13377, 16342])).
% 51.93/34.46 tff(35490,plain,
% 51.93/34.46 (v9(constB127)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35489, 35485])).
% 51.93/34.46 tff(35491,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v141(constB127))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB127) | (~v9(constB127)) | v141(constB127))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35492,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v141(constB127))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35493,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB127) | (~v9(constB127)) | v141(constB127)),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35492, 35491])).
% 51.93/34.46 tff(35494,plain,
% 51.93/34.46 ((~v9(constB127)) | v141(constB127)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35493, 13392, 16188])).
% 51.93/34.46 tff(35495,plain,
% 51.93/34.46 (v141(constB127)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35494, 35490])).
% 51.93/34.46 tff(35496,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB127) | (~v141(constB127)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB127) | (~v141(constB127)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35497,plain,
% 51.93/34.46 (((~v141(constB127)) | v140(constB127)) <=> (v140(constB127) | (~v141(constB127)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35498,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB127)) | v140(constB127))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB127) | (~v141(constB127))))),
% 51.93/34.46 inference(monotonicity,[status(thm)],[35497])).
% 51.93/34.46 tff(35499,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB127)) | v140(constB127))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB127) | (~v141(constB127)))),
% 51.93/34.46 inference(transitivity,[status(thm)],[35498, 35496])).
% 51.93/34.46 tff(35500,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB127)) | v140(constB127))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35501,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB127) | (~v141(constB127))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35500, 35499])).
% 51.93/34.46 tff(35502,plain,
% 51.93/34.46 (v140(constB127)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35501, 13404, 35495])).
% 51.93/34.46 tff(35503,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB127)) | (~v163(constB127)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB127)) | (~v163(constB127)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35504,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB127)) | (~v163(constB127)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35505,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB127)) | (~v163(constB127))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35504, 35503])).
% 51.93/34.46 tff(35506,plain,
% 51.93/34.46 (~v163(constB127)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35505, 13421, 35502])).
% 51.93/34.46 tff(35507,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB127) | v164(constB127) | (~v160(constB127)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB127) | v164(constB127) | (~v160(constB127)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35508,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB127) | v164(constB127) | (~v160(constB127)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35509,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB127) | v164(constB127) | (~v160(constB127))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35508, 35507])).
% 51.93/34.46 tff(35510,plain,
% 51.93/34.46 (v164(constB127) | (~v160(constB127))),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35509, 13754, 35506])).
% 51.93/34.46 tff(35511,plain,
% 51.93/34.46 (~v160(constB127)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35510, 35468])).
% 51.93/34.46 tff(35512,plain,
% 51.93/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB127, constB128)) | v160(constB127) | (~v162(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB127, constB128)) | v160(constB127) | (~v162(constB128)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35513,plain,
% 51.93/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB127, constB128)) | v160(constB127) | (~v162(constB128)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35514,plain,
% 51.93/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB127, constB128)) | v160(constB127) | (~v162(constB128))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35513, 35512])).
% 51.93/34.46 tff(35515,plain,
% 51.93/34.46 (v160(constB127) | (~v162(constB128))),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35514, 13769, 16342])).
% 51.93/34.46 tff(35516,plain,
% 51.93/34.46 (~v162(constB128)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35515, 35511])).
% 51.93/34.46 tff(35517,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB128) | (~v163(constB128)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB128) | (~v163(constB128)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35518,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB128) | (~v163(constB128)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35519,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB128) | (~v163(constB128))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35518, 35517])).
% 51.93/34.46 tff(35520,plain,
% 51.93/34.46 (~v163(constB128)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35519, 13784, 35516])).
% 51.93/34.46 tff(35521,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB128)) | (~v141(constB128)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB128)) | (~v141(constB128)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35522,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB128)) | (~v141(constB128)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35523,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB128)) | (~v141(constB128))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35522, 35521])).
% 51.93/34.46 tff(35524,plain,
% 51.93/34.46 (~v141(constB128)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35523, 13553, 16362])).
% 51.93/34.46 tff(35525,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB128) | (~v155(constB128)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB128) | (~v155(constB128)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35526,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB128) | (~v155(constB128)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35527,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB128) | (~v155(constB128))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35526, 35525])).
% 51.93/34.46 tff(35528,plain,
% 51.93/34.46 (~v155(constB128)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35527, 13702, 35524])).
% 51.93/34.46 tff(35529,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB128) | (~v164(constB128)))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB128) | (~v164(constB128)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35530,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB128) | (~v164(constB128)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35531,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB128) | (~v164(constB128))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35530, 35529])).
% 51.93/34.46 tff(35532,plain,
% 51.93/34.46 (~v164(constB128)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35531, 13806, 35528])).
% 51.93/34.46 tff(35533,plain,
% 51.93/34.46 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB128) | v164(constB128) | (~v160(constB128)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB128) | v164(constB128) | (~v160(constB128)))),
% 51.93/34.46 inference(rewrite,[status(thm)],[])).
% 51.93/34.46 tff(35534,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB128) | v164(constB128) | (~v160(constB128)))),
% 51.93/34.46 inference(quant_inst,[status(thm)],[])).
% 51.93/34.46 tff(35535,plain,
% 51.93/34.46 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB128) | v164(constB128) | (~v160(constB128))),
% 51.93/34.46 inference(modus_ponens,[status(thm)],[35534, 35533])).
% 51.93/34.46 tff(35536,plain,
% 51.93/34.46 (v163(constB128) | (~v160(constB128))),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35535, 13754, 35532])).
% 51.93/34.46 tff(35537,plain,
% 51.93/34.46 (~v160(constB128)),
% 51.93/34.46 inference(unit_resolution,[status(thm)],[35536, 35520])).
% 51.93/34.46 tff(35538,plain,
% 51.93/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB128, constB129)) | v160(constB128) | (~v162(constB129)))) <